{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"ublogo.png\"/>\n",
    "\n",
    "# CSE474/574 - Introduction to Machine Learning\n",
    "\n",
    "  - Python Demonstrations\n",
    "  - Instructor - Varun Chandola\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import linear_model\n",
    "from scipy.stats import t,laplace,norm,multivariate_normal\n",
    "import numpy as np\n",
    "from math import sqrt\n",
    "from sklearn import model_selection\n",
    "from sklearn.datasets import load_boston\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.linear_model import LinearRegression,Ridge,Lasso\n",
    "import pandas as pd\n",
    "from sklearn.preprocessing import scale\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "import plotly.graph_objects as go\n",
    "\n",
    "import warnings\n",
    "warnings.simplefilter(action = \"ignore\", category = FutureWarning)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set(color_codes=True)\n",
    "sns.set_style('whitegrid')\n",
    "sns.set_context('paper',font_scale=2)\n",
    "from mpl_toolkits import mplot3d\n",
    "%config InlineBackend.print_figure_kwargs = {'bbox_inches':None}\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Building a linear machine learning model for prediction\n",
    "\n",
    "Let us assume we are building a model that can infer the daily number of flu-cases in the United States, using the number of tweets posted on Twitter containing the keyword `flu` during that day.\n",
    "\n",
    "Consider the following training data (assume that the number are in 10000s):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>#numtweets</th>\n",
       "      <th>#numflucases</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>12</td>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>28</td>\n",
       "      <td>25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>48</td>\n",
       "      <td>31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>56</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   #numtweets  #numflucases\n",
       "0          12            19\n",
       "1          28            25\n",
       "2          15            21\n",
       "3          48            31\n",
       "4          56            32"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('../data/flu1d.csv')\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are interested in training a model, such that it can infer the the number of flu cases for a new day, based on the number of relevant tweets.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the data\n",
    "ax = df.plot.scatter(x='#numtweets',y='#numflucases',c='b')\n",
    "ax.set_ylim(0,)\n",
    "ax.set_xlim(0,)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mapping Objective Functions\n",
    "First thing we will talk about is to \"visualize\" an objective function.\n",
    "\n",
    "Consider the squared loss function discussed in class:\n",
    "\n",
    "$$\n",
    "J(w_0,w) = \\frac{1}{2}\\sum_{i=1}^N(y_i - (w_0 + wx_i))^2\n",
    "$$\n",
    "which is the same as:\n",
    "$$\n",
    "J({\\bf w}) = \\frac{1}{2}({\\bf y} - {\\bf Xw})^\\top({\\bf y} - {\\bf Xw})\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# convert data to a np array\n",
    "X = np.array(df['#numtweets'])\n",
    "y = np.array(df['#numflucases'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def objfunction(w,w0,X,y):\n",
    "    J = 0.5*np.sum((y - (w*X + w0))**2)\n",
    "    return J"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute the objective function for a range of values for w and w0\n",
    "ws = np.linspace(-4, 4, 50)\n",
    "w0s = np.linspace(-50, 50, 50)\n",
    "W, W0 = np.meshgrid(ws, w0s)\n",
    "Js = []\n",
    "for w,w0 in zip(W.flatten(),W0.flatten()):\n",
    "    Js.append(objfunction(w,w0,X,y))\n",
    "\n",
    "Js = np.array(Js)\n",
    "Js = np.reshape(Js,(len(ws),len(w0s)))    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "colorscale": [
          [
           0,
           "rgb(214, 249, 207)"
          ],
          [
           0.09090909090909091,
           "rgb(186, 228, 174)"
          ],
          [
           0.18181818181818182,
           "rgb(156, 209, 143)"
          ],
          [
           0.2727272727272727,
           "rgb(124, 191, 115)"
          ],
          [
           0.36363636363636365,
           "rgb(85, 174, 91)"
          ],
          [
           0.45454545454545453,
           "rgb(37, 157, 81)"
          ],
          [
           0.5454545454545454,
           "rgb(7, 138, 78)"
          ],
          [
           0.6363636363636364,
           "rgb(13, 117, 71)"
          ],
          [
           0.7272727272727273,
           "rgb(23, 95, 61)"
          ],
          [
           0.8181818181818182,
           "rgb(25, 75, 49)"
          ],
          [
           0.9090909090909091,
           "rgb(23, 55, 35)"
          ],
          [
           1,
           "rgb(17, 36, 20)"
          ]
         ],
         "contours": {
          "x": {
           "project": {
            "x": true
           },
           "show": true,
           "usecolormap": true
          },
          "y": {
           "project": {
            "y": true
           },
           "show": true,
           "usecolormap": true
          },
          "z": {
           "project": {
            "z": true
           },
           "show": true,
           "usecolormap": true
          }
         },
         "showscale": false,
         "type": "surface",
         "x": [
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ],
          [
           -4,
           -3.836734693877551,
           -3.673469387755102,
           -3.510204081632653,
           -3.3469387755102042,
           -3.183673469387755,
           -3.020408163265306,
           -2.857142857142857,
           -2.6938775510204085,
           -2.5306122448979593,
           -2.36734693877551,
           -2.2040816326530615,
           -2.0408163265306123,
           -1.8775510204081636,
           -1.7142857142857144,
           -1.5510204081632657,
           -1.3877551020408165,
           -1.2244897959183674,
           -1.0612244897959187,
           -0.8979591836734695,
           -0.7346938775510208,
           -0.5714285714285716,
           -0.4081632653061229,
           -0.24489795918367374,
           -0.08163265306122458,
           0.08163265306122458,
           0.24489795918367285,
           0.408163265306122,
           0.5714285714285712,
           0.7346938775510203,
           0.8979591836734686,
           1.0612244897959178,
           1.224489795918367,
           1.387755102040816,
           1.5510204081632653,
           1.7142857142857135,
           1.8775510204081627,
           2.040816326530612,
           2.204081632653061,
           2.3673469387755093,
           2.5306122448979584,
           2.6938775510204076,
           2.8571428571428568,
           3.020408163265306,
           3.183673469387754,
           3.3469387755102034,
           3.5102040816326525,
           3.6734693877551017,
           3.836734693877551,
           4
          ]
         ],
         "y": [
          [
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50,
           -50
          ],
          [
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939,
           -47.95918367346939
          ],
          [
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877,
           -45.91836734693877
          ],
          [
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816,
           -43.87755102040816
          ],
          [
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755,
           -41.83673469387755
          ],
          [
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694,
           -39.79591836734694
          ],
          [
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325,
           -37.755102040816325
          ],
          [
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715,
           -35.714285714285715
          ],
          [
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105,
           -33.673469387755105
          ],
          [
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488,
           -31.632653061224488
          ],
          [
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878,
           -29.591836734693878
          ],
          [
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264,
           -27.551020408163264
          ],
          [
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265,
           -25.51020408163265
          ],
          [
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204,
           -23.46938775510204
          ],
          [
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427,
           -21.428571428571427
          ],
          [
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817,
           -19.387755102040817
          ],
          [
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203,
           -17.346938775510203
          ],
          [
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593,
           -15.306122448979593
          ],
          [
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976,
           -13.265306122448976
          ],
          [
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366,
           -11.224489795918366
          ],
          [
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756,
           -9.183673469387756
          ],
          [
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139,
           -7.142857142857139
          ],
          [
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529,
           -5.102040816326529
          ],
          [
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187,
           -3.0612244897959187
          ],
          [
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015,
           -1.0204081632653015
          ],
          [
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086,
           1.0204081632653086
          ],
          [
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187,
           3.0612244897959187
          ],
          [
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529,
           5.102040816326529
          ],
          [
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146,
           7.142857142857146
          ],
          [
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756,
           9.183673469387756
          ],
          [
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366,
           11.224489795918366
          ],
          [
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983,
           13.265306122448983
          ],
          [
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593,
           15.306122448979593
          ],
          [
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021,
           17.34693877551021
          ],
          [
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813,
           19.387755102040813
          ],
          [
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143,
           21.42857142857143
          ],
          [
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048,
           23.469387755102048
          ],
          [
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265,
           25.51020408163265
          ],
          [
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268,
           27.551020408163268
          ],
          [
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885,
           29.591836734693885
          ],
          [
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488,
           31.632653061224488
          ],
          [
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105,
           33.673469387755105
          ],
          [
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572,
           35.71428571428572
          ],
          [
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325,
           37.755102040816325
          ],
          [
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694,
           39.79591836734694
          ],
          [
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756,
           41.83673469387756
          ],
          [
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816,
           43.87755102040816
          ],
          [
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878,
           45.91836734693878
          ],
          [
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694,
           47.9591836734694
          ],
          [
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50,
           50
          ]
         ],
         "z": [
          [
           116992,
           110737.82923781755,
           104659.39858392338,
           98756.70803831736,
           93029.7576009996,
           87478.54727197,
           82103.07705122865,
           76903.3469387755,
           71879.3569346106,
           67031.10703873387,
           62358.597251145344,
           57861.827571845075,
           53540.79800083299,
           49395.508538109134,
           45425.95918367347,
           41632.14993752604,
           38014.08079966681,
           34571.75177009579,
           31305.162848813,
           28214.31403581841,
           25299.205331112047,
           22559.836734693883,
           19996.20824656394,
           17608.319866722202,
           15396.171595168684,
           13359.763431903371,
           11499.095376926289,
           9814.167430237405,
           8304.979591836736,
           6971.531861724282,
           5813.8242399000455,
           4831.856726364019,
           4025.6293211162033,
           3395.142024156603,
           2940.3948354852146,
           2661.387755102042,
           2558.1207830070803,
           2630.5939192003325,
           2878.8071636817986,
           3302.760516451476,
           3902.4539775093676,
           4677.887546855475,
           5629.061224489792,
           6755.975010412329,
           8058.628904623064,
           9537.022907122026,
           11191.157017909201,
           13021.031236984585,
           15026.645564348182,
           17208
          ],
          [
           114933.02457309455,
           108731.83173677634,
           102706.37900874637,
           96856.66638900459,
           91182.69387755104,
           85684.46147438567,
           80361.96917950854,
           75215.21699291962,
           70244.20491461892,
           65448.93294460643,
           60829.40108288213,
           56385.60932944607,
           52117.55768429821,
           48025.24614743858,
           44108.67471886714,
           40367.84339858394,
           36802.75218658893,
           33413.401082882134,
           30199.790087463567,
           27161.9192003332,
           24299.788421491052,
           21613.397750937114,
           19102.747188671394,
           16767.836734693883,
           14608.666389004582,
           12625.236151603498,
           10817.546022490636,
           9185.596001665977,
           7729.386089129532,
           6448.916284881301,
           5344.186588921289,
           4415.197001249483,
           3661.9475218658918,
           3084.4381507705134,
           2682.668887963349,
           2456.6397334443996,
           2406.3506872136613,
           2531.801749271137,
           2832.9929196168255,
           3309.924198250726,
           3962.595585172841,
           4791.007080383171,
           5795.158683881711,
           6975.05039566847,
           8330.682215743429,
           9862.054144106613,
           11569.166180758011,
           13452.01832569762,
           15510.61057892544,
           17744.94294044148
          ],
          [
           112894.87380258227,
           106746.65889212827,
           100774.18408996251,
           94977.44939608496,
           89356.45481049563,
           83911.20033319449,
           78641.68596418158,
           73547.91170345689,
           68629.87755102041,
           63887.583506872135,
           59321.02957101207,
           54930.21574344023,
           50715.142024156594,
           46675.80841316119,
           42812.21491045398,
           39124.36151603499,
           35612.24822990421,
           32275.875052061645,
           29115.241982507294,
           26130.34902124115,
           23321.196168263228,
           20687.783423573514,
           18230.110787172016,
           15948.178259058728,
           13841.985839233654,
           11911.533527696793,
           10156.821324448152,
           8577.849229487718,
           7174.617242815495,
           5947.125364431487,
           4895.373594335699,
           4019.3619325281156,
           3319.0903790087477,
           2794.5589337775928,
           2445.7675968346516,
           2272.716368179925,
           2275.4052478134104,
           2453.8342357351094,
           2808.0033319450226,
           3337.9125364431457,
           4043.5618492294834,
           4924.951270304039,
           5982.080799666803,
           7214.950437317785,
           8623.560183256968,
           10207.910037484377,
           11967.999999999996,
           13903.83007080383,
           16015.400249895874,
           18302.710537276136
          ],
          [
           110877.54768846315,
           104782.31070387337,
           98862.81382757184,
           93119.05705955852,
           87551.04039983342,
           82158.7638483965,
           76942.22740524782,
           71901.43107038733,
           67036.3748438151,
           62347.05872553104,
           57833.48271553519,
           53495.64681382758,
           49333.551020408166,
           45347.19533527698,
           41536.57975843399,
           37901.70428987923,
           34442.568929612666,
           31159.173677634317,
           28051.518533944196,
           25119.603498542274,
           22363.42857142858,
           19782.993752603084,
           17378.299042065813,
           15149.344439816745,
           13096.129945855895,
           11218.655560183255,
           9516.921282798841,
           7990.927113702627,
           6640.673052894629,
           5466.1591003748445,
           4467.385256143278,
           3644.35152019992,
           2997.0578925447744,
           2525.5043731778433,
           2229.6909620991255,
           2109.6176593086216,
           2165.28446480633,
           2396.6913785922525,
           2803.838400666388,
           3386.7255310287346,
           4145.352769679296,
           5079.720116618074,
           6189.82757184506,
           7475.675135360267,
           8937.262807163672,
           10574.590587255303,
           12387.658475635148,
           14376.466472303204,
           16541.01457725947,
           18881.302790503956
          ],
          [
           108881.0462307372,
           102838.78717201165,
           96972.26822157434,
           91281.48937942524,
           85766.45064556437,
           80427.15201999168,
           75263.5935027072,
           70275.77509371097,
           65463.696793002935,
           60827.3586005831,
           56366.760516451475,
           52081.90254060809,
           47972.7846730529,
           44039.40691378593,
           40281.76926280717,
           36699.87172011662,
           33293.71428571429,
           30063.296959600164,
           27008.619741774266,
           24129.68263223657,
           21426.4856309871,
           18899.028738025827,
           16547.311953352775,
           14371.335276967933,
           12371.098708871305,
           10546.60224906289,
           8897.845897542697,
           7424.829654310708,
           6127.553519366932,
           5006.01749271137,
           4060.221574344028,
           3290.1657642648925,
           2695.850062473971,
           2277.274468971263,
           2034.4389837567683,
           1967.3436068304873,
           2075.988338192419,
           2360.373177842565,
           2820.498125780923,
           3456.3631820074934,
           4267.968346522277,
           5255.313619325278,
           6418.399000416487,
           7757.224489795916,
           9271.790087463545,
           10962.095793419398,
           12828.141607663467,
           14869.927530195746,
           17087.453561016235,
           19480.719700124944
          ],
          [
           106905.36942940441,
           100916.08829654311,
           95102.54727197002,
           89464.74635568511,
           84002.68554768847,
           78716.36484798,
           73605.78425655977,
           68670.94377342775,
           63911.84339858394,
           59328.48313202833,
           54920.86297376093,
           50688.98292378176,
           46632.842982090806,
           42752.44314868805,
           39047.78342357351,
           35518.86380674719,
           32165.684298209082,
           28988.244897959186,
           25986.545605997504,
           23160.586422324035,
           20510.367346938783,
           18035.888379841737,
           15737.149521032912,
           13614.150770512291,
           11666.892128279887,
           9895.373594335695,
           8299.595168679723,
           6879.556851311958,
           5635.258642232406,
           4566.700541441068,
           3673.882548937947,
           2956.8046647230353,
           2415.466888796336,
           2049.869221157852,
           1860.0116618075808,
           1845.8942107455225,
           2007.5168679716776,
           2344.8796334860463,
           2857.9825072886288,
           3546.825489379421,
           4411.408579758429,
           5451.731778425654,
           6667.795085381086,
           8059.598500624738,
           9627.14202415659,
           11370.425655976669,
           13289.44939608496,
           15384.21324448146,
           17654.717201166175,
           20100.96126613911
          ],
          [
           104950.51728446482,
           99014.21407746771,
           93253.65097875886,
           87668.82798833819,
           82259.74510620575,
           77026.40233236151,
           71968.79966680548,
           67086.93710953768,
           62380.81466055811,
           57850.432319866726,
           53495.79008746355,
           49316.88796334861,
           45313.72594752186,
           41486.30403998335,
           37834.62224073303,
           34358.680549770936,
           31058.478967097042,
           27934.01749271137,
           24985.296126613917,
           22212.314868804664,
           19615.07371928364,
           17193.572678050816,
           14947.811745106212,
           12877.790920449814,
           10983.510204081635,
           9264.969596001665,
           7722.169096209918,
           6355.108704706376,
           5163.788421491046,
           4148.208246563932,
           3308.368179925034,
           2644.268221574346,
           2155.908371511871,
           1843.2886297376097,
           1706.408996251562,
           1745.269471053727,
           1959.8700541441058,
           2350.210745522698,
           2916.2915451895033,
           3658.112453144519,
           4575.67346938775,
           5668.974593919198,
           6938.015826738854,
           8382.797167846731,
           10003.318617242805,
           11799.580174927105,
           13771.58184089962,
           15919.323615160345,
           18242.805497709283,
           20742.02748854644
          ],
          [
           103016.48979591837,
           97133.16451478549,
           91425.57934194087,
           85893.73427738443,
           80537.62932111621,
           75357.2644731362,
           70352.6397334444,
           65523.75510204082,
           60870.610578925465,
           56393.2061640983,
           52091.54185755935,
           47965.617659308635,
           44015.43356934611,
           40240.989587671815,
           36642.28571428572,
           33219.32194918784,
           29972.098292378185,
           26900.614743856724,
           24004.8713036235,
           21284.867971678468,
           18740.604748021666,
           16372.081632653066,
           14179.298625572683,
           12162.255726780511,
           10320.95293627655,
           8655.390254060807,
           7165.567680133284,
           5851.485214493963,
           4713.14285714286,
           3750.540608079967,
           2963.6784673052935,
           2352.5564348188273,
           1917.1745106205758,
           1657.5326947105377,
           1573.630987088713,
           1665.4693877551013,
           1933.0478967097029,
           2376.3665139525183,
           2995.4252394835466,
           3790.2240733027857,
           4760.763015410241,
           5907.04206580591,
           7229.061224489789,
           8726.82049146189,
           10400.319866722186,
           12249.55935027071,
           14274.538942107449,
           16475.258642232395,
           18851.718450645556,
           21403.918367346938
          ],
          [
           101103.2869637651,
           95272.93960849644,
           89618.33236151605,
           84139.46522282384,
           78836.33819241985,
           73708.95127030404,
           68757.30445647647,
           63981.39775093712,
           59381.23115368598,
           54956.80466472304,
           50708.11828404831,
           46635.172011661816,
           42737.96584756352,
           39016.49979175345,
           35470.773844231575,
           32100.78800499793,
           28906.542274052485,
           25888.036651395254,
           23045.271137026248,
           20378.245730945444,
           17886.96043315286,
           15571.415243648484,
           13431.610162432327,
           11467.545189504377,
           9679.22032486464,
           8066.635568513118,
           6629.790920449819,
           5368.686380674722,
           4283.321949187841,
           3373.6976259891726,
           2639.8134110787205,
           2081.669304456479,
           1699.2653061224498,
           1492.6014160766351,
           1461.6776343190338,
           1606.4939608496452,
           1927.05039566847,
           2423.3469387755085,
           3095.3835901707607,
           3943.160349854222,
           4966.6772178259,
           6165.934194085794,
           7540.931278633897,
           9091.66847147022,
           10818.145772594738,
           12720.363182007484,
           14798.320699708449,
           17052.01832569762,
           19481.456059975004,
           22086.633902540605
          ],
          [
           99210.90878800498,
           93433.53935860057,
           87831.9100374844,
           82406.02082465639,
           77155.87172011663,
           72081.46272386504,
           67182.79383590171,
           62459.86505622657,
           57912.676384839666,
           53541.22782174095,
           49345.51936693044,
           45325.551020408166,
           41481.322782174095,
           37812.834652228245,
           34320.0866305706,
           31003.07871720117,
           27861.81091211995,
           24896.28321532695,
           22106.495626822165,
           19492.44814660558,
           17054.140774677224,
           14791.57351103707,
           12704.746355685138,
           10793.659308621409,
           9058.312369845899,
           7498.705539358598,
           6114.838817159522,
           4906.712203248649,
           3874.3256976259904,
           3017.6793002915456,
           2336.773011245317,
           1831.6068304872983,
           1502.180758017493,
           1348.4947938359019,
           1370.548937942524,
           1568.343190337358,
           1941.8775510204064,
           2491.1520199916686,
           3216.1665972511446,
           4116.9212827988285,
           5193.41607663473,
           6445.6509787588475,
           7873.625989171174,
           9477.34110787172,
           11256.796334860464,
           13211.991670137435,
           15342.927113702619,
           17649.602665556013,
           20132.018325697623,
           22790.174094127447
          ],
          [
           97339.35526863806,
           91614.96376509787,
           86066.31236984591,
           80693.40108288212,
           75496.22990420659,
           70474.79883381924,
           65629.10787172012,
           60959.15701790921,
           56464.94627238652,
           52146.47563515203,
           48003.74510620575,
           44036.7546855477,
           40245.50437317784,
           36629.99416909622,
           33190.224073302794,
           29926.194085797593,
           26837.904206580595,
           23925.35443565181,
           21188.54477301125,
           18627.475218658896,
           16242.145772594758,
           14032.556434818827,
           11998.707205331117,
           10140.598084131616,
           8458.229071220325,
           6951.600166597251,
           5620.711370262396,
           4465.5626822157465,
           3486.154102457311,
           2682.485630987089,
           2054.557267805084,
           1602.369012911288,
           1325.9208663057066,
           1225.2128279883384,
           1300.2448979591838,
           1551.017076218241,
           1977.5293627655121,
           2579.781757600998,
           3357.774260724696,
           4311.506872136604,
           5440.979591836728,
           6746.192419825069,
           8227.145356101617,
           9883.838400666387,
           11716.271553519353,
           13724.444814660546,
           15908.358184089953,
           18268.011661807574,
           20803.405247813404,
           23514.53894210745
          ],
          [
           95488.6264056643,
           89817.21282798832,
           84321.53935860058,
           79001.60599750103,
           73857.4127446897,
           68888.95960016659,
           64096.246563931694,
           59479.273635984995,
           55038.04081632654,
           50772.548104956266,
           46682.79550187421,
           42768.78300708039,
           39030.510620574765,
           35467.97834235736,
           32081.186172428155,
           28870.134110787178,
           25834.822157434402,
           22975.250312369848,
           20291.41857559351,
           17783.32694710537,
           15450.975426905463,
           13294.364014993753,
           11313.492711370265,
           9508.361516034987,
           7878.970428987923,
           6425.31945022907,
           5147.4085797584385,
           4045.2378175760127,
           3118.8071636818,
           2368.1166180758023,
           1793.16618075802,
           1393.9558517284474,
           1170.4856309870888,
           1122.755518533944,
           1250.7655143690129,
           1554.515618492293,
           2034.005830903788,
           2689.2361516034966,
           3520.2065805914185,
           4526.91711786755,
           5709.3677634318965,
           7067.558517284461,
           8601.489379425235,
           10311.160349854228,
           12196.571428571417,
           14257.722615576837,
           16494.613910870466,
           18907.24531445231,
           21495.616826322363,
           24259.728446480636
          ],
          [
           93658.72219908371,
           88040.28654727196,
           82597.59100374844,
           77330.6355685131,
           72239.42024156603,
           67323.94502290711,
           62584.20991253644,
           58020.21491045397,
           53631.96001665974,
           49419.44523115369,
           45382.67055393585,
           41521.63598500626,
           37836.34152436485,
           34326.78717201167,
           30992.972927946685,
           27834.898792169937,
           24852.56476468138,
           22045.970845481046,
           19415.11703456893,
           16960.003331945023,
           14680.629737609335,
           12576.996251561854,
           10649.102873802587,
           8896.949604331528,
           7320.536443148688,
           5919.863390254059,
           4694.930445647651,
           3645.7376093294483,
           2772.2848812994594,
           2074.572261557684,
           1552.599750104125,
           1206.3673469387763,
           1035.875052061641,
           1041.1228654727195,
           1222.1107871720117,
           1578.8388171595147,
           2111.3069554352332,
           2819.515201999165,
           3703.4635568513104,
           4763.152019991665,
           5998.580591420236,
           7409.749271137023,
           8996.658059142019,
           10759.306955435237,
           12697.695960016648,
           14811.825072886288,
           17101.694294044144,
           19567.30362349021,
           22208.653061224486,
           25025.742607246983
          ],
          [
           91849.64264889629,
           86284.18492294877,
           80894.46730528947,
           75680.48979591837,
           70642.2523948355,
           65779.75510204081,
           61092.99791753436,
           56581.98084131612,
           52246.703873386105,
           48087.167013744285,
           44103.37026239067,
           40295.313619325294,
           36662.99708454811,
           33206.42065805915,
           29925.584339858397,
           26820.488129945858,
           23891.13202832154,
           21137.516034985423,
           18559.640149937535,
           16157.504373177844,
           13931.108704706377,
           11880.453144523117,
           10005.537692628075,
           8306.362349021243,
           6782.927113702624,
           5435.231986672219,
           4263.276967930034,
           3267.0620574760546,
           2446.587255310288,
           1801.8525614327366,
           1332.8579758434003,
           1039.6034985422748,
           922.0891295293628,
           980.3148688046643,
           1214.28071636818,
           1623.9866722199063,
           2209.4327363598472,
           2970.618908788003,
           3907.545189504371,
           5020.211578508948,
           6308.618075801742,
           7772.764681382752,
           9412.65139525197,
           11228.27821740941,
           13219.645147855044,
           15386.75218658891,
           17729.599333610986,
           20248.186588921275,
           22942.513952519774,
           25812.581424406497
          ],
          [
           90061.38775510204,
           84548.90795501872,
           79212.16826322365,
           74051.16867971676,
           69065.90920449814,
           64256.389837567665,
           59622.61057892544,
           55164.57142857142,
           50882.27238650563,
           46775.71345272803,
           42844.89462723864,
           39089.81591003748,
           35510.477301124534,
           32106.8788004998,
           28879.02040816327,
           25826.90212411496,
           22950.523948354854,
           20249.885880882965,
           17724.9879216993,
           15375.830070803833,
           13202.41232819659,
           11204.734693877554,
           9382.797167846735,
           7736.599750104126,
           6266.14244064973,
           4971.425239483548,
           3852.448146605585,
           2909.211162015829,
           2141.7142857142867,
           1549.957517700958,
           1133.940857975845,
           893.6643065389426,
           829.127863390254,
           940.3315285297787,
           1227.2753019575175,
           1689.9591836734667,
           2328.3831736776315,
           3142.54727197001,
           4132.451478550602,
           5298.095793419402,
           6639.4802165764195,
           8156.604748021655,
           9849.469387755096,
           11718.07413577676,
           13762.41899208662,
           15982.503956684708,
           18378.32902957101,
           20949.894210745522,
           23697.199500208244,
           26620.244897959186
          ],
          [
           88293.95751770097,
           82834.45564348187,
           77550.69387755102,
           72442.67221990836,
           67510.39067055394,
           62753.84922948771,
           58173.04789670971,
           53767.98667221991,
           49538.66555601834,
           45485.08454810496,
           41607.243648479795,
           37905.14285714286,
           34378.78217409413,
           31028.161599333616,
           27853.28113286131,
           24854.14077467722,
           22030.740524781344,
           19383.080383173678,
           16911.16034985423,
           14614.980424822992,
           12494.540608079971,
           10549.840899625158,
           8780.881299458564,
           7187.661807580177,
           5770.182423990005,
           4528.443148688046,
           3462.443981674306,
           2572.1849229487734,
           1857.6659725114546,
           1318.8871303623494,
           955.848396501459,
           768.5497709287802,
           756.9912536443148,
           921.172844648063,
           1261.0945439400252,
           1776.7563515201973,
           2468.1582673885855,
           3335.3002915451875,
           4378.182423990003,
           5596.804664723026,
           6991.167013744266,
           8561.269471053725,
           10307.11203665139,
           12228.694710537278,
           14326.017492711358,
           16599.08038317367,
           19047.88338192419,
           21672.426488962927,
           24472.709704289875,
           27448.733027905044
          ],
          [
           86547.35193669306,
           81140.82798833819,
           75910.04414827155,
           70855.00041649313,
           65975.69679300292,
           61272.133277800924,
           56744.30987088713,
           52392.226572261556,
           48215.88338192421,
           44215.280299875056,
           40390.41732611412,
           36741.29446064141,
           33267.91170345689,
           29970.269054560606,
           26848.366513952522,
           23902.204081632655,
           21131.781757601006,
           18537.099541857555,
           16118.157434402336,
           13874.955435235323,
           11807.493544356523,
           9915.771761765933,
           8199.79008746356,
           6659.548521449398,
           5295.047063723448,
           4106.285714285714,
           3093.2644731361966,
           2255.9833402748873,
           1594.4423157017916,
           1108.6413994169097,
           798.5805914202427,
           664.2598917117868,
           705.6793002915449,
           922.8388171595163,
           1315.7384423157016,
           1884.378175760097,
           2628.758017492708,
           3548.877967513534,
           4644.738025822571,
           5916.338192419818,
           7363.6784673052825,
           8986.758850478962,
           10785.579341940851,
           12760.13994169096,
           14910.440649729264,
           17236.481466055797,
           19738.26239067055,
           22415.783423573503,
           25269.04456476467,
           28298.045814244062
          ],
          [
           84821.57101207829,
           79468.02498958766,
           74290.21907538526,
           69288.15326947105,
           64461.82757184507,
           59811.24198250728,
           55336.396501457726,
           51037.29112869638,
           46913.92586422325,
           42966.30070803831,
           39194.4156601416,
           35598.270720533124,
           32177.86588921283,
           28933.201166180763,
           25864.276551436902,
           22971.092044981262,
           20253.647646813828,
           17711.943356934615,
           15345.979175343611,
           13155.75510204082,
           11141.271137026244,
           9302.527280299877,
           7639.523531861729,
           6152.259891711789,
           4840.736359850063,
           3704.952936276551,
           2744.909620991257,
           1960.6064139941711,
           1352.0433152852988,
           919.22032486464,
           662.1374427321958,
           580.7946688879633,
           675.1920033319448,
           945.3294460641391,
           1391.2069970845482,
           2012.8246563931662,
           2810.1824239900006,
           3783.2802998750494,
           4932.118284048311,
           6256.696376509781,
           7757.014577259466,
           9433.072886297374,
           11284.87130362348,
           13312.409829237818,
           15515.688463140345,
           17894.707205331106,
           20449.466055810073,
           23179.965014577254,
           26086.204081632648,
           29168.183256976263
          ],
          [
           83116.61474385671,
           77816.04664723031,
           72691.21865889212,
           67742.13077884214,
           62968.78300708039,
           58371.175343606825,
           53949.30778842149,
           49703.18034152436,
           45632.79300291546,
           41738.145772594755,
           38019.238650562256,
           34476.071636818,
           31108.644731361932,
           27916.95793419409,
           24901.01124531445,
           22060.804664723037,
           19396.338192419826,
           16907.611828404828,
           14594.625572678055,
           12457.379425239484,
           10495.873386089133,
           8710.107455226991,
           7100.081632653066,
           5665.795918367348,
           4407.250312369846,
           3324.444814660557,
           2417.3794252394864,
           1686.0541441066237,
           1130.4689712619747,
           750.6239067055392,
           546.5189504373182,
           518.1541024573091,
           665.529362765514,
           988.6447313619318,
           1487.5002082465644,
           2162.0957934194053,
           3012.431486880463,
           4038.507288629735,
           5240.323198667221,
           6617.879216992913,
           8171.175343606823,
           9900.211578508952,
           11804.987921699285,
           13885.504373177844,
           16141.760932944591,
           18573.757600999576,
           21181.494377342766,
           23964.97126197417,
           26924.188254893787,
           30059.145356101624
          ],
          [
           81432.48313202834,
           76184.89296126613,
           71113.04289879218,
           66216.93294460641,
           61496.56309870889,
           56951.93336109954,
           52583.04373177842,
           48389.89421074552,
           44372.48479800085,
           40530.81549354436,
           36864.88629737609,
           33374.69720949605,
           30060.24822990421,
           26921.53935860059,
           23958.570595585174,
           21171.34194085798,
           18559.853394418995,
           16124.104956268222,
           13864.09662640567,
           11779.828404831322,
           9871.300291545194,
           8138.512286547273,
           6581.464389837572,
           5200.156601416079,
           3994.588921282799,
           2964.7613494377338,
           2110.673885880886,
           1432.3265306122464,
           929.7192836318205,
           602.8521449396085,
           451.72511453561043,
           476.33819241982474,
           676.6913785922527,
           1052.7846730528936,
           1604.6180758017492,
           2332.1915868388137,
           3235.5052061640945,
           4314.55893377759,
           5569.352769679297,
           6999.886713869213,
           8606.160766347348,
           10388.174927113698,
           12345.929196168256,
           14479.423573511036,
           16788.658059142006,
           19273.632653061213,
           21934.34735526863,
           24770.802165764257,
           27782.997084548093,
           30970.932111620157
          ],
          [
           79769.1761765931,
           74574.56393169511,
           69555.69179508538,
           64712.55976676385,
           60045.16784673055,
           55553.51603498543,
           51237.60433152853,
           47097.43273635985,
           43133.00124947939,
           39344.30987088714,
           35731.35860058309,
           32294.14743856727,
           29032.676384839655,
           25946.94543940026,
           23036.95460224907,
           20302.703873386094,
           17744.19325281133,
           15361.42274052478,
           13154.39233652645,
           11123.102040816328,
           9267.551853394423,
           7587.741774260727,
           6083.671803415247,
           4755.3419408579775,
           3602.752186588922,
           2625.9025406080796,
           1824.7930029154547,
           1199.4235735110385,
           749.7942523948361,
           475.9050395668473,
           377.75593502707216,
           455.34693877550956,
           708.6780508121609,
           1137.749271137025,
           1742.5605997501043,
           2523.112036651391,
           3479.4035818408956,
           4611.435235318614,
           5919.206997084546,
           7402.718867138684,
           9061.970845481039,
           10896.962932111615,
           12907.695127030398,
           15094.167430237401,
           17456.379841732596,
           19994.33236151602,
           22708.024989587666,
           25597.457725947515,
           28662.63057059558,
           31903.543523531855
          ],
          [
           78126.693877551,
           72985.05955851727,
           68019.16534777176,
           63229.01124531444,
           58614.59725114536,
           54175.92336526446,
           49912.9895876718,
           45825.79591836734,
           41914.34235735111,
           38178.628904623074,
           34618.65556018325,
           31234.422324031657,
           28025.929196168265,
           24993.17617659309,
           22136.163265306124,
           19454.890462307376,
           16949.357767596837,
           14619.565181174508,
           12465.512703040402,
           10487.200333194502,
           8684.628071636822,
           7057.795918367348,
           5606.703873386092,
           4331.351936693046,
           3231.7401082882134,
           2307.8683881715942,
           1559.7367763431926,
           987.3452728029995,
           590.6938775510207,
           369.78259058725513,
           324.61141191170316,
           455.18034152436405,
           761.4893794252388,
           1243.5385256143263,
           1901.327780091629,
           2734.857142857139,
           3744.126613910867,
           4929.136193252809,
           6289.885880882965,
           7826.3756768013245,
           9538.605581007905,
           11426.575593502705,
           13490.285714285708,
           15729.735943356936,
           18144.926280716354,
           20735.856726364007,
           23502.52728029987,
           26444.937942523942,
           29563.08871303623,
           32856.97959183674
          ],
          [
           76505.03623490212,
           71416.3798417326,
           66503.46355685132,
           61766.287380258225,
           57204.85131195336,
           52819.155351936686,
           48609.19950020825,
           44574.983756768015,
           40716.508121616,
           37033.77259475219,
           33526.77717617659,
           30195.52186588922,
           27040.006663890046,
           24060.2315701791,
           21256.19658475635,
           18627.90170762183,
           16175.346938775514,
           13898.532278217408,
           11797.457725947526,
           9872.123281965847,
           8122.52894627239,
           6548.67471886714,
           5150.560599750107,
           3928.1865889212845,
           2881.552686380675,
           2010.6588921282791,
           1315.5052061641004,
           796.091628488131,
           452.4181591003751,
           284.48479800083294,
           292.2915451895039,
           475.8384006663881,
           835.1253644314861,
           1370.1524364847965,
           2080.9196168263225,
           2967.4269054560555,
           4029.6743023740064,
           5267.6618075801725,
           6681.389421074549,
           8270.857142857134,
           10036.064972927938,
           11977.012911286958,
           14093.700957934185,
           16386.12911286964,
           18854.297376093276,
           21498.20574760515,
           24317.854227405238,
           27313.242815493537,
           30484.371511870046,
           33831.24031653478
          ],
          [
           74904.20324864639,
           69868.5247813411,
           65008.586422324035,
           60324.38817159516,
           55815.93002915452,
           51483.21199500207,
           47326.23406913786,
           43344.99625156185,
           39539.49854227406,
           35909.74094127447,
           32455.723448563094,
           29177.446064139946,
           26074.908788005,
           23148.111620158274,
           20397.05456059975,
           17821.73760932945,
           15422.160766347357,
           13198.324031653478,
           11150.227405247817,
           9277.870887130364,
           7581.254477301127,
           6060.378175760102,
           4715.241982507292,
           3545.845897542692,
           2552.1899208663062,
           1734.2740524781336,
           1092.098292378178,
           625.6626405664317,
           334.9670970428991,
           220.0116618075802,
           280.7963348604741,
           517.3211162015815,
           929.5860058309028,
           1517.5910037484368,
           2281.3361099541858,
           3220.8213244481417,
           4336.046647230316,
           5627.012078300704,
           7093.717617659307,
           8736.163265306111,
           10554.349021241142,
           12548.274885464387,
           14717.940857975835,
           17063.34693877551,
           19584.493127863374,
           22281.379425239476,
           25154.005830903785,
           28202.372344856303,
           31426.478967097035,
           34826.32569762599
          ],
          [
           73324.19491878385,
           68341.49437734277,
           63534.53394418993,
           58903.31361932527,
           54447.83340274886,
           50168.09329446063,
           46064.09329446063,
           42135.83340274885,
           38383.31361932529,
           34806.53394418992,
           31405.49437734277,
           28180.194918783847,
           25130.635568513117,
           22256.816326530618,
           19558.737192836314,
           17036.39816743024,
           14689.79925031237,
           12518.940441482713,
           10523.821740941275,
           8704.443148688046,
           7060.804664723036,
           5592.906289046232,
           4300.748021657645,
           3184.329862557269,
           2243.651811745106,
           1478.713869221157,
           889.5160349854242,
           476.05830903790144,
           238.34069137859228,
           176.36318200749676,
           290.1257809246138,
           579.6284881299447,
           1044.8713036234894,
           1685.8542274052468,
           2502.5772594752193,
           3495.0403998333986,
           4663.243648479796,
           6007.187005414408,
           7526.870470637234,
           9222.294044148264,
           11093.457725947514,
           13140.361516034982,
           15363.005414410656,
           17761.389421074553,
           20335.513536026643,
           23085.37775926696,
           26010.982090795496,
           29112.326530612238,
           32389.411078717196,
           35842.23573511037
          ],
          [
           71765.01124531445,
           66835.28862973761,
           62081.30612244899,
           57503.06372344856,
           53100.56143273637,
           48873.79925031237,
           44822.77717617659,
           40947.49521032903,
           37247.95335276969,
           33724.15160349855,
           30376.089962515616,
           27203.768429820913,
           24207.18700541441,
           21386.345689296133,
           18741.244481466056,
           16271.883381924203,
           13978.262390670556,
           11860.381507705122,
           9918.24073302791,
           8151.840066638901,
           6561.179508538113,
           5146.259058725533,
           3907.0787172011687,
           2843.638483965016,
           1955.9383590170764,
           1243.9783423573504,
           707.7584339858407,
           347.2786339025412,
           162.53894210745528,
           153.53935860058306,
           320.279883381923,
           662.7605164514771,
           1180.9812578092447,
           1874.9421074552256,
           2744.6430653894213,
           3790.0841316118235,
           5011.265306122444,
           6408.18658892128,
           7980.847980008326,
           9729.249479383581,
           11653.391087047054,
           13753.272802998745,
           16028.894627238642,
           18480.256559766764,
           21107.358600583073,
           23910.200749687618,
           26888.783007080376,
           30043.10537276134,
           33373.16784673052,
           36878.97042898792
          ],
          [
           70226.65222823825,
           65349.9075385256,
           60648.902957101214,
           56123.63848396501,
           51774.114119117046,
           47600.329862557264,
           43602.28571428571,
           39779.98167430237,
           36133.41774260726,
           32662.593919200342,
           29367.510204081627,
           26248.16659725115,
           23304.563098708873,
           20536.69970845482,
           17944.576426488966,
           15528.193252811332,
           13287.550187421908,
           11222.6472303207,
           9333.48438150771,
           7620.061640982924,
           6082.379008746359,
           4720.436484798002,
           3534.2340691378627,
           2523.7717617659323,
           1689.0495626822162,
           1030.0674718867135,
           546.8254893794267,
           239.32361516035044,
           107.56184922948778,
           151.54019158683877,
           371.2586422324017,
           766.7172011661789,
           1337.91586838817,
           2084.854643898374,
           3007.5335276967935,
           4105.952519783418,
           5380.111620158263,
           6830.010828821321,
           8455.650145772594,
           10257.02957101207,
           12234.149104539763,
           14387.008746355677,
           16715.6084964598,
           19219.948354852146,
           21900.028321532678,
           24755.84839650144,
           27787.408579758427,
           30994.708871303614,
           34377.74927113702,
           37936.529779258635
          ],
          [
           68709.11786755518,
           63885.35110370678,
           59237.32444814661,
           54765.03790087463,
           50468.49146189089,
           46347.685131195336,
           42402.618908788005,
           38633.29279466889,
           35039.70678883799,
           31621.860891295295,
           28379.75510204081,
           25313.389421074557,
           22422.763848396506,
           19707.878384006668,
           17168.73302790504,
           14805.327780091633,
           12617.662640566432,
           10605.737609329448,
           8769.552686380677,
           7109.107871720118,
           5624.403165347775,
           4315.438567263642,
           3182.214077467725,
           2224.7296959600185,
           1442.9854227405256,
           836.981257809246,
           406.7172011661821,
           152.1932528113291,
           73.40941274468972,
           170.36568096626394,
           443.06205747604986,
           891.4985422740504,
           1515.6751353602654,
           2315.591836734692,
           3291.2486463973346,
           4442.645564348182,
           5769.7825905872505,
           7272.659725114531,
           8951.276967930025,
           10805.634319033725,
           12835.731778425645,
           15041.569346105785,
           17423.14702207413,
           19980.464806330696,
           22713.52269887545,
           25622.32069970844,
           28706.85880882965,
           31967.137026239063,
           35403.155351936686,
           39014.91378592254
          ],
          [
           67212.40816326531,
           62441.61932528113,
           57846.57059558518,
           53427.261974177425,
           49183.693461057905,
           45115.86505622657,
           41223.77675968346,
           37507.42857142857,
           33966.820491461905,
           30601.95251978343,
           27412.824656393168,
           24399.436901291137,
           21561.7892544773,
           18899.88171595169,
           16413.714285714286,
           14103.286963765102,
           11968.599750104126,
           10009.652644731359,
           8226.445647646817,
           6618.978758850479,
           5187.25197834236,
           3931.26530612245,
           2851.018742190756,
           1946.512286547273,
           1217.7459391920033,
           664.7197001249474,
           287.4335693461067,
           85.8875468554771,
           60.08163265306113,
           210.01582673885878,
           535.6901291128678,
           1037.1045397750918,
           1714.2590587255297,
           2567.15368596418,
           3595.788421491046,
           4800.163265306117,
           6180.278217409407,
           7736.133277800913,
           9467.72844648063,
           11375.063723448555,
           13458.139108704696,
           15716.954602249056,
           18151.510204081627,
           20761.805914202414,
           23547.841732611392,
           26509.617659308606,
           29647.133694294032,
           32960.38983756767,
           36449.38608912952,
           40114.122448979586
          ],
          [
           65736.52311536859,
           61018.71220324864,
           56476.64139941691,
           52110.31070387338,
           47919.720116618075,
           43904.869637650976,
           40065.75926697209,
           36402.38900458142,
           32914.758850478975,
           29602.868804664722,
           26466.71886713869,
           23506.30903790088,
           20721.639316951274,
           18112.709704289886,
           15679.520199916702,
           13422.07080383174,
           11340.361516034987,
           9434.392336526447,
           7704.163265306124,
           6149.674302374012,
           4770.925447730116,
           3567.9167013744286,
           2540.6480633069577,
           1689.119533527698,
           1013.3311120366518,
           513.2827988338189,
           188.9745939192012,
           40.40649729279482,
           67.57850895460207,
           270.490628904623,
           649.1428571428551,
           1203.5351936693023,
           1933.6676384839634,
           2839.540191586837,
           3921.152852977926,
           5178.50562265722,
           6611.598500624734,
           8220.431486880461,
           10005.004581424404,
           11965.317784256547,
           14101.371095376915,
           16413.1645147855,
           18900.69804248229,
           21563.971678467307,
           24402.98542274051,
           27417.73927530195,
           30608.233236151595,
           33974.46730528946,
           37516.44148271553,
           41234.155768429824
          ],
          [
           64281.46272386505,
           59616.62973760931,
           55127.53685964181,
           50814.18408996251,
           46676.571428571435,
           42714.698875468544,
           38928.5664306539,
           35318.17409412745,
           31883.52186588922,
           28624.60974593919,
           25541.43773427738,
           22634.005830903792,
           19902.31403581841,
           17346.36234902125,
           14966.150770512286,
           12761.67930029155,
           10732.947938359019,
           8879.956684714703,
           7202.7055393586015,
           5701.194502290714,
           4375.423573511041,
           3225.392753019577,
           2251.102040816329,
           1452.5514369012924,
           829.7409412744694,
           382.6705539358599,
           111.34027488546512,
           15.750104123281996,
           95.9000416493125,
           351.79008746355663,
           783.4202415660116,
           1390.7905039566822,
           2173.9008746355667,
           3132.7513536026636,
           4267.341940857976,
           5577.672636401492,
           7063.743440233231,
           8725.554352353181,
           10563.105372761347,
           12576.396501457715,
           14765.427738442304,
           17130.199083715117,
           19670.71053727613,
           22386.962099125365,
           25278.953769262793,
           28346.685547688452,
           31590.157434402325,
           35009.36942940441,
           38604.3215326947,
           42375.01374427322
          ],
          [
           62847.226988754686,
           58235.37192836317,
           53799.2569762599,
           49538.882132444814,
           45454.24739691796,
           41545.352769679295,
           37812.19825072886,
           34254.78384006664,
           30873.10953769264,
           27667.175343606832,
           24636.981257809242,
           21782.52728029988,
           19103.813411078718,
           16600.83965014578,
           14273.60599750104,
           12122.112453144524,
           10146.35901707622,
           8346.345689296126,
           6722.072469804251,
           5273.539358600583,
           4000.7463556851335,
           2903.6934610578937,
           1982.3806747188692,
           1236.8079966680557,
           666.9754269054561,
           272.88296543107003,
           54.53061224489838,
           11.918367346938666,
           145.04623073719262,
           453.91420241566016,
           938.5222823823383,
           1598.8704706372323,
           2434.95876718034,
           3446.78717201166,
           4634.355685131196,
           5997.664306538936,
           7536.713036234896,
           9251.501874219073,
           11142.03082049146,
           13208.299875052053,
           15450.309037900864,
           17868.058309037893,
           20461.547688463128,
           23230.77717617659,
           26175.746772178238,
           29296.456476468124,
           32592.906289046223,
           36065.09620991253,
           39713.02623906705,
           43536.69637650979
          ],
          [
           61433.81591003749,
           56874.93877551019,
           52491.80174927114,
           48284.40483132028,
           44252.74802165765,
           40396.83132028322,
           36716.654727197,
           33212.218242399,
           29883.521865889223,
           26730.565597667643,
           23753.349437734272,
           20951.873386089137,
           18326.137442732197,
           15876.141607663478,
           13601.885880882965,
           11503.370262390674,
           9580.59475218659,
           7833.559350270722,
           6262.264056643067,
           4866.708871303624,
           3646.893794252397,
           2602.8188254893803,
           1734.483965014579,
           1041.8892128279892,
           525.0345689296129,
           183.92003331945006,
           18.54560599750132,
           28.911286963764855,
           215.01707621824204,
           576.8629737609328,
           1114.4489795918337,
           1827.7750937109513,
           2716.841316118282,
           3781.6476468138253,
           5022.194085797584,
           6438.480633069548,
           8030.507288629731,
           9798.27405247813,
           11741.780924614743,
           13861.027905039558,
           16156.01499375259,
           18626.742190753845,
           21273.209496043306,
           24095.416909620988,
           27093.364431486858,
           30267.052061640963,
           33616.479800083296,
           37141.64764681382,
           40842.55560183256,
           44719.20366513952
          ],
          [
           60041.22948771345,
           55535.33027905038,
           51205.17117867555,
           47050.752186588914,
           43072.07330279051,
           39269.13452728029,
           35641.93586005831,
           32190.477301124527,
           28914.758850478975,
           25814.780508121614,
           22890.542274052474,
           20142.044148271554,
           17569.286130778844,
           15172.268221574348,
           12950.990420658058,
           10905.45272802999,
           9035.655143690128,
           7341.597667638482,
           5823.280299875054,
           4480.703040399832,
           3313.8658892128296,
           2322.768846314036,
           1507.4119117034584,
           867.7950853810916,
           403.9183673469387,
           115.7817576009993,
           3.385256143273714,
           66.72886297376068,
           305.8125780924613,
           720.6364014993756,
           1311.2003331945,
           2077.5043731778396,
           3019.5485214493947,
           4137.332778009161,
           5430.857142857144,
           6900.12161599333,
           8545.126197417738,
           10365.870887130357,
           12362.355685131195,
           14534.58059142023,
           16882.545605997493,
           19406.25072886297,
           22105.695960016652,
           24980.88129945856,
           28031.806747188653,
           31258.472303206985,
           34660.87796751353,
           38239.023740108285,
           41992.90962099125,
           45922.535610162435
          ],
          [
           58669.46772178259,
           54216.54643898375,
           49939.36526447314,
           45837.92419825072,
           41912.22324031654,
           38162.262390670556,
           34588.041649312785,
           31189.561016243235,
           27966.820491461902,
           24919.820074968768,
           22048.559766763847,
           19353.039566847154,
           16833.259475218663,
           14489.21949187839,
           12320.919616826322,
           10328.359850062478,
           8511.54019158684,
           6870.460641399417,
           5405.121199500211,
           4115.521865889214,
           3001.6626405664338,
           2063.5435235318632,
           1301.1645147855083,
           714.5256143273646,
           303.62682215743473,
           68.46813827571842,
           9.049562682215608,
           125.37109537692564,
           417.4327363598493,
           885.2344856309867,
           1528.7763431903338,
           2348.058309037897,
           3343.080383173675,
           4513.842565597664,
           5860.344856309871,
           7382.587255310279,
           9080.56976259891,
           10954.292378175753,
           13003.755102040814,
           15228.957934194072,
           17629.900874635554,
           20206.58392336526,
           22959.007080383162,
           25887.170345689294,
           28991.07371928361,
           32270.71720116616,
           35726.10079133693,
           39357.2244897959,
           43164.0882965431,
           47146.69221157851
          ],
          [
           57318.53061224489,
           52918.587255310274,
           48694.384006663895,
           44645.92086630569,
           40773.19783423574,
           37076.214910453964,
           33554.97209496043,
           30209.4693877551,
           27039.70678883799,
           24045.68429820908,
           21227.40191586838,
           18584.859641815914,
           16118.057476051647,
           13826.995418575598,
           11711.673469387755,
           9772.091628488133,
           8008.249895876719,
           6420.1482715535185,
           5007.786755518536,
           3771.165347771762,
           2710.284048313205,
           1825.142857142858,
           1115.7417742607263,
           582.0807996668061,
           224.15993336109963,
           41.97917534360676,
           35.538525614327085,
           204.83798417326054,
           549.8775510204076,
           1070.6572261557683,
           1767.1770095793383,
           2639.4369012911257,
           3687.4369012911266,
           4911.17700957934,
           6310.6572261557685,
           7885.877551020401,
           9636.837984173255,
           11563.538525614324,
           13665.979175343604,
           15944.159933361087,
           18398.080799666794,
           21027.74177426072,
           23833.142857142848,
           26814.284048313202,
           29971.16534777174,
           33303.78675551852,
           36812.14827155351,
           40496.24989587671,
           44356.091628488124,
           48391.673469387766
          ],
          [
           55988.41815910037,
           51641.45272802997,
           47470.22740524782,
           43474.74219075384,
           39654.997084548115,
           36010.99208663056,
           32542.727197001248,
           29250.20241566014,
           26133.41774260725,
           23192.373177842564,
           20427.068721366093,
           17837.504373177842,
           15423.680133277801,
           13185.596001665976,
           11123.251978342356,
           9236.648063306957,
           7525.784256559766,
           5990.66055810079,
           4631.27696793003,
           3447.63348604748,
           2439.730112453146,
           1607.5668471470224,
           951.1436901291139,
           470.4606413994172,
           165.51770095793415,
           36.31486880466472,
           82.85214493960818,
           305.1295293627651,
           703.1470220741356,
           1276.90462307372,
           2026.4023323615136,
           2951.640149937523,
           4052.618075801748,
           5329.336109954185,
           6781.794252394837,
           8409.99250312369,
           10213.930862140769,
           12193.609329446064,
           14349.027905039566,
           16680.186588921275,
           19187.0853810912,
           21869.724281549352,
           24728.103290295705,
           27762.222407330282,
           30972.08163265304,
           34357.680966264044,
           37919.02040816326,
           41656.09995835068,
           45568.919616826315,
           49657.47938359018
          ],
          [
           54679.130362349024,
           50385.14285714285,
           46266.895460224914,
           42324.38817159517,
           38557.62099125365,
           34966.59391920033,
           31551.306955435237,
           28311.760099958352,
           25247.95335276969,
           22359.886713869222,
           19647.560183256974,
           17110.97376093295,
           14750.127446897128,
           12565.021241149527,
           10555.65514369013,
           8722.029154518954,
           7064.143273635987,
           5581.997501041233,
           4275.591836734697,
           3144.926280716369,
           2190.000832986258,
           1410.8154935443577,
           807.3702623906722,
           379.66513952519847,
           127.70012494793848,
           51.47521865889211,
           150.99042065805833,
           426.2457309454383,
           877.241149521032,
           1503.976676384839,
           2306.4523115368556,
           3284.668054977088,
           4438.623906705537,
           5768.319866722196,
           7273.755935027071,
           8954.93211162015,
           10811.84839650145,
           12844.504789670966,
           15052.901291128692,
           17437.037900874624,
           19996.91461890877,
           22732.531445231143,
           25643.888379841723,
           28730.985422740523,
           31993.822573927508,
           35432.39983340273,
           39046.71720116617,
           42836.774677217814,
           46802.572261557674,
           50944.109954185755
          ],
          [
           53390.66722199084,
           49149.65764264889,
           45084.38817159517,
           41194.85880882965,
           37481.06955435236,
           33943.02040816327,
           30580.71137026239,
           27394.142440649728,
           24383.313619325287,
           21548.224906289048,
           18888.876301541022,
           16405.26780508122,
           14097.399416909622,
           11965.271137026244,
           10008.88296543107,
           8228.234902124117,
           6623.326947105374,
           5194.159100374844,
           3940.7313619325296,
           2863.0437317784263,
           1961.0962099125381,
           1234.8887963348611,
           684.4214910453989,
           309.6942940441487,
           110.70720533111208,
           87.46022490628916,
           239.9533527696785,
           568.1865889212818,
           1072.1599333610989,
           1751.8733860891296,
           2607.3269471053686,
           3638.520616409826,
           4845.454394002497,
           6228.12827988338,
           7786.542274052479,
           9520.696376509779,
           11430.590587255303,
           13516.22490628904,
           15777.599333610993,
           18214.71386922115,
           20827.56851311952,
           23616.163265306117,
           26580.498125780916,
           29720.573094543943,
           33036.38817159515,
           36527.943356934586,
           40195.238650562256,
           44038.274052478126,
           48057.049562682216,
           52251.565181174505
          ],
          [
           52123.02873802582,
           47934.99708454809,
           43922.7055393586,
           40086.15410245731,
           36425.34277384423,
           32940.27155351936,
           29630.94044148271,
           26497.349437734272,
           23539.498542274057,
           20757.38775510204,
           18151.017076218235,
           15720.38650562266,
           13465.496043315285,
           11386.34568929613,
           9482.93544356518,
           7755.26530612245,
           6203.3352769679295,
           4827.145356101622,
           3626.6955435235327,
           2601.9858392336523,
           1753.0162432319878,
           1079.7867555185342,
           582.2973760932953,
           260.5481049562685,
           114.53894210745531,
           144.2698875468558,
           349.7409412744683,
           730.9521032902951,
           1287.9033735943356,
           2020.5947521865896,
           2929.0262390670523,
           4013.1978342357315,
           5273.109537692627,
           6708.761349437733,
           8320.153269471055,
           10107.28529779258,
           12070.157434402328,
           14208.769679300287,
           16523.122032486463,
           19013.214493960837,
           21679.04706372344,
           24520.61974177426,
           27537.93252811328,
           30730.985422740527,
           34099.77842565596,
           37644.31153685963,
           41364.58475635151,
           45260.598084131605,
           49332.35152019991,
           53579.845064556444
          ],
          [
           50876.21491045398,
           46741.16118284047,
           42781.847563515206,
           38998.274052478126,
           35390.44064972929,
           31958.347355268634,
           28701.99416909621,
           25621.381091211995,
           22716.508121616003,
           19987.375260308207,
           17433.982507288627,
           15056.329862557273,
           12854.417326114122,
           10828.24489795919,
           8977.812578092464,
           7303.120366513956,
           5804.168263223658,
           4480.956268221575,
           3333.484381507707,
           2361.75260308205,
           1565.7609329446084,
           945.5093710953778,
           500.9979175343617,
           232.226572261558,
           139.1953352769679,
           221.90420658059148,
           480.3531861724268,
           914.5422740524766,
           1524.4714702207402,
           2310.140774677217,
           3271.5501874219026,
           4408.699708454805,
           5721.589337775924,
           7210.219075385252,
           8874.588921282799,
           10714.698875468544,
           12730.548937942516,
           14922.139108704701,
           17289.469387755096,
           19832.539775093697,
           22551.35027072052,
           25445.90087463556,
           28516.191586838806,
           31762.22240733028,
           35183.99333610993,
           38781.50437317783,
           42554.75551853393,
           46503.746772178245,
           50628.478134110774,
           54928.94960433152
          ],
          [
           49650.225739275294,
           45568.14993752602,
           41661.814244064975,
           37931.21865889212,
           34376.363182007495,
           30997.247813411068,
           27793.872553102872,
           24766.23740108288,
           21914.34235735111,
           19238.18742190754,
           16737.772594752183,
           14413.09787588505,
           12264.163265306122,
           10290.968763015415,
           8493.514369012912,
           6871.800083298627,
           5425.825905872553,
           4155.591836734693,
           3061.0978758850492,
           2142.344023323615,
           1399.3302790503972,
           832.05664306539,
           440.52311536859713,
           224.7296959600169,
           184.67638483965018,
           320.36318200749724,
           631.7900874635556,
           1118.957101207829,
           1781.8642232403158,
           2620.5114535610164,
           3634.8987921699245,
           4825.026239067051,
           6190.8937942523935,
           7732.501457725945,
           9449.849229487714,
           11342.937109537685,
           13411.76509787588,
           15656.333194502284,
           18076.641399416905,
           20672.68971261973,
           23444.478134110777,
           26392.006663890046,
           29515.275301957507,
           32814.2840483132,
           36289.03290295708,
           39939.5218658892,
           43765.75093710953,
           47767.72011661807,
           51945.42940441482,
           56298.878800499806
          ],
          [
           48445.06122448979,
           44415.96334860474,
           40562.60558100791,
           36884.987921699285,
           33383.110370678885,
           30056.972927946685,
           26906.575593502705,
           23931.918367346938,
           21133.00124947939,
           18509.82423990004,
           16062.387338608907,
           13790.690545606,
           11694.733860891294,
           9774.517284464808,
           8030.040816326529,
           6461.30445647647,
           5068.308204914618,
           3851.0520616409813,
           2809.536026655561,
           1943.7600999583506,
           1253.7242815493555,
           739.4285714285716,
           400.87296959600224,
           238.05747605164544,
           250.9820907955021,
           439.64681382757254,
           804.0516451478541,
           1344.1965847563506,
           2060.081632653061,
           2951.706788837985,
           4019.072053311117,
           5262.177426072465,
           6681.022907122031,
           8275.608496459809,
           10045.9341940858,
           11991.999999999993,
           14113.80591420241,
           16411.351936693045,
           18884.63806747189,
           21533.664306538933,
           24358.430653894196,
           27358.93710953769,
           30535.18367346938,
           33887.1703456893,
           37414.89712619739,
           41118.36401499374,
           44997.5710120783,
           49052.51811745106,
           53283.20533111203,
           57689.63265306123
          ],
          [
           47260.72136609746,
           43284.60141607663,
           39484.22157434403,
           35859.58184089963,
           32410.682215743447,
           29137.522698875466,
           26040.10329029571,
           23118.423990004165,
           20372.48479800084,
           17802.285714285717,
           15407.826738858806,
           13189.10787172012,
           11146.12911286964,
           9278.890462307376,
           7587.39192003332,
           6071.6334860474835,
           4731.615160349855,
           3567.3369429404415,
           2578.7988338192436,
           1766.0008329862562,
           1128.942940441484,
           667.6251561849235,
           382.04748021657696,
           272.2099125364432,
           338.11245314452293,
           579.7551020408165,
           997.1378592253208,
           1590.2607246980403,
           2359.123698458974,
           3303.726780508121,
           4424.069970845476,
           5720.153269471048,
           7191.9766763848365,
           8839.540191586835,
           10662.843815077053,
           12661.887546855465,
           14836.671386922108,
           17187.195335276963,
           19713.45939192003,
           22415.463556851297,
           25293.207830070787,
           28346.692211578502,
           31575.916701374415,
           34980.88129945856,
           38561.586005830875,
           42318.03082049145,
           46250.21574344022,
           50358.1407746772,
           54641.8059142024,
           59101.211162015825
          ],
          [
           46097.2061640983,
           42174.06413994168,
           38426.6622240733,
           34855.00041649313,
           31459.078717201177,
           28238.897126197415,
           25194.45564348188,
           22325.75426905456,
           19632.79300291546,
           17115.571845064558,
           14774.09079550187,
           12608.34985422741,
           10618.34902124115,
           8804.08829654311,
           7165.5676801332775,
           5702.787172011664,
           4415.74677217826,
           3304.446480633069,
           2368.8862973760943,
           1609.0662224073303,
           1024.9862557267816,
           616.6463973344444,
           384.046647230321,
           327.1870054144108,
           446.0674718867139,
           740.6880466472309,
           1211.0487296959582,
           1857.1495210329015,
           2678.9904206580586,
           3676.5714285714284,
           4849.892544773006,
           6198.953769262804,
           7723.755102040814,
           9424.296543107035,
           11300.578092461476,
           13352.599750104115,
           15580.361516034976,
           17983.863390254057,
           20563.105372761347,
           23318.08746355684,
           26248.809662640553,
           29355.271970012487,
           32637.474385672627,
           36095.416909620995,
           39729.09954185753,
           43538.52228238232,
           47523.68513119532,
           51684.588088296536,
           56021.23115368596,
           60533.6143273636
          ],
          [
           44954.51561849229,
           41084.3515201999,
           37389.92753019575,
           33871.243648479795,
           30528.299875052064,
           27361.09620991253,
           24369.63265306122,
           21553.909204498123,
           18913.925864223245,
           16449.682632236567,
           14161.179508538105,
           12048.416493127865,
           10111.39358600583,
           8350.110787172012,
           6764.568096626404,
           5354.7655143690135,
           4120.703040399833,
           3062.380674718866,
           2179.7984173261148,
           1472.9562682215742,
           941.8542274052486,
           586.4922948771348,
           406.8704706372348,
           402.98875468554803,
           574.8471470220745,
           922.4456476468149,
           1445.7842565597655,
           2144.862973760932,
           3019.681799250312,
           4070.2407330279057,
           5296.539775093707,
           6698.578925447726,
           8276.358184089962,
           10029.877551020407,
           11959.13702623907,
           14064.136609745932,
           16344.876301541019,
           18801.35610162432,
           21433.576009995835,
           24241.53602665555,
           27225.236151603487,
           30384.676384839648,
           33719.85672636401,
           37230.7771761766,
           40917.437734277366,
           44779.83840066638,
           48817.9791753436,
           53031.86005830903,
           57421.48104956267,
           61986.84214910456
          ],
          [
           43832.64972927947,
           40015.463556851304,
           36374.01749271137,
           32908.31153685964,
           29618.345689296133,
           26504.11995002082,
           23565.634319033736,
           20802.88879633486,
           18215.883381924206,
           15804.618075801753,
           13569.092877967512,
           11509.307788421494,
           9625.262807163683,
           7916.95793419409,
           6384.393169512703,
           5027.568513119536,
           3846.4839650145777,
           2841.1395251978342,
           2011.5351936693057,
           1357.6709704289883,
           879.5468554768855,
           577.1628488129949,
           450.51895043731776,
           499.6151603498541,
           724.4514785506036,
           1125.0279050395673,
           1701.3444398167403,
           2453.40108288213,
           3381.1978342357334,
           4484.73469387755,
           5764.0116618075745,
           7219.028738025816,
           8849.785922532275,
           10656.283215326943,
           12638.520616409829,
           14796.498125780912,
           17130.215743440225,
           19639.673469387748,
           22324.871303623488,
           25185.809246147423,
           28222.487296959585,
           31434.90545605997,
           34823.06372344855,
           38386.96209912536,
           42126.60058309035,
           46041.979175343586,
           50133.09787588504,
           54399.95668471469,
           58842.55560183255,
           63460.89462723867
          ],
          [
           42731.6084964598,
           38967.400249895865,
           35378.93211162016,
           31966.20408163264,
           28729.216159933363,
           25667.96834652227,
           22782.46064139941,
           20072.69304456476,
           17538.66555601833,
           15180.378175760101,
           12997.830903790084,
           10991.023740108292,
           9159.956684714703,
           7504.629737609333,
           6025.04289879217,
           4721.1961682632245,
           3593.089546022491,
           2640.7230320699705,
           1864.0966264056653,
           1263.2103290295713,
           838.0641399416916,
           588.6580591420244,
           514.9920866305706,
           617.0662224073304,
           894.8804664723033,
           1348.4348188254903,
           1977.7292794668865,
           2782.7638483965,
           3763.5385256143263,
           4920.053311120367,
           6252.308204914612,
           7760.30320699708,
           9444.03831736776,
           11303.513536026654,
           13338.728862973761,
           15549.684298209071,
           17936.379841732607,
           20498.81549354435,
           23236.991253644315,
           26150.90712203247,
           29240.56309870886,
           32505.95918367347,
           35947.09537692627,
           39563.97167846731,
           43356.58808829652,
           47324.94460641398,
           51469.041232819654,
           55788.87796751353,
           60284.45481049562,
           64955.77176176594
          ],
          [
           41651.39192003331,
           37940.1615993336,
           34404.67138692211,
           31044.921282798827,
           27860.91128696377,
           24852.6413994169,
           22020.111620158263,
           19363.321949187834,
           16882.272386505625,
           14576.962932111619,
           12447.393586005826,
           10493.564348188256,
           8715.475218658892,
           7113.126197417745,
           5686.517284464806,
           4435.648479800084,
           3360.5197834235732,
           2461.131195335276,
           1737.482715535194,
           1189.5743440233236,
           817.4060807996674,
           620.9779258642235,
           600.289879216993,
           755.3419408579763,
           1086.1341107871726,
           1592.666389004583,
           2274.9387755102025,
           3132.951270304039,
           4166.703873386089,
           5376.196584756353,
           6761.429404414823,
           8322.402332361511,
           10059.115368596418,
           11971.568513119533,
           14059.761765930865,
           16323.695127030394,
           18763.368596418153,
           21378.78217409413,
           24169.935860058307,
           27136.829654310695,
           30279.463556851297,
           33597.83756768013,
           37091.95168679716,
           40761.805914202414,
           44607.40024989586,
           48628.734693877544,
           52825.80924614743,
           57198.623906705536,
           61747.178675551855,
           66471.4735526864
          ],
          [
           40592,
           36933.747605164506,
           33451.23531861725,
           30144.46314035818,
           27013.431070387345,
           24058.1391087047,
           21278.58725531029,
           18674.775510204083,
           16246.703873386095,
           13994.372344856312,
           11917.78092461474,
           10016.929612661395,
           8291.818408996252,
           6742.447313619328,
           5368.816326530612,
           4170.925447730115,
           3148.7746772178266,
           2302.3640149937523,
           1631.6934610578935,
           1136.763015410246,
           817.5726780508128,
           674.1224489795919,
           706.4123281965843,
           914.4423157017907,
           1298.21241149521,
           1857.7226155768435,
           2592.9729279466856,
           3503.963348604745,
           4590.693877551019,
           5853.164514785505,
           7291.375260308199,
           8905.32611411911,
           10695.017076218239,
           12660.448146605577,
           14801.619325281134,
           17118.530612244882,
           19611.182007496867,
           22279.573511037066,
           25123.705122865467,
           28143.576842982075,
           31339.188671386906,
           34710.54060807996,
           38257.63265306121,
           41980.464806330696,
           45879.03706788835,
           49953.34943773426,
           54203.40191586838,
           58629.1945022907,
           63230.72719700124,
           68008
          ]
         ]
        }
       ],
       "layout": {
        "autosize": false,
        "height": 500,
        "margin": {
         "b": 65,
         "l": 65,
         "r": 50,
         "t": 90
        },
        "scene": {
         "aspectmode": "auto",
         "aspectratio": {
          "x": 1,
          "y": 1,
          "z": 1
         },
         "camera": {
          "center": {
           "x": 0,
           "y": 0,
           "z": 0
          },
          "eye": {
           "x": 0.868490729893968,
           "y": 1.7677041597617216,
           "z": 0.899136171916885
          },
          "projection": {
           "type": "perspective"
          },
          "up": {
           "x": 0,
           "y": 0,
           "z": 1
          }
         }
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "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": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "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": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "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": "Loss function"
        },
        "width": 500
       }
      },
      "text/html": [
       "<div>                            <div id=\"e15ef3cb-811f-48b8-b89c-6fb6038eddb7\" class=\"plotly-graph-div\" style=\"height:500px; width:500px;\"></div>            <script type=\"text/javascript\">                require([\"plotly\"], function(Plotly) {                    window.PLOTLYENV=window.PLOTLYENV || {};                                    if (document.getElementById(\"e15ef3cb-811f-48b8-b89c-6fb6038eddb7\")) {                    Plotly.newPlot(                        \"e15ef3cb-811f-48b8-b89c-6fb6038eddb7\",                        [{\"colorscale\": [[0.0, \"rgb(214, 249, 207)\"], [0.09090909090909091, \"rgb(186, 228, 174)\"], [0.18181818181818182, \"rgb(156, 209, 143)\"], [0.2727272727272727, \"rgb(124, 191, 115)\"], [0.36363636363636365, \"rgb(85, 174, 91)\"], [0.45454545454545453, \"rgb(37, 157, 81)\"], [0.5454545454545454, \"rgb(7, 138, 78)\"], [0.6363636363636364, \"rgb(13, 117, 71)\"], [0.7272727272727273, \"rgb(23, 95, 61)\"], [0.8181818181818182, \"rgb(25, 75, 49)\"], [0.9090909090909091, \"rgb(23, 55, 35)\"], [1.0, \"rgb(17, 36, 20)\"]], \"contours\": {\"x\": {\"project\": {\"x\": true}, \"show\": true, \"usecolormap\": true}, \"y\": {\"project\": {\"y\": true}, \"show\": true, \"usecolormap\": true}, \"z\": {\"project\": {\"z\": true}, \"show\": true, \"usecolormap\": true}}, \"showscale\": false, \"type\": \"surface\", \"x\": [[-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0], [-4.0, -3.836734693877551, -3.673469387755102, -3.510204081632653, -3.3469387755102042, -3.183673469387755, -3.020408163265306, -2.857142857142857, -2.6938775510204085, -2.5306122448979593, -2.36734693877551, -2.2040816326530615, -2.0408163265306123, -1.8775510204081636, -1.7142857142857144, -1.5510204081632657, -1.3877551020408165, -1.2244897959183674, -1.0612244897959187, -0.8979591836734695, -0.7346938775510208, -0.5714285714285716, -0.4081632653061229, -0.24489795918367374, -0.08163265306122458, 0.08163265306122458, 0.24489795918367285, 0.408163265306122, 0.5714285714285712, 0.7346938775510203, 0.8979591836734686, 1.0612244897959178, 1.224489795918367, 1.387755102040816, 1.5510204081632653, 1.7142857142857135, 1.8775510204081627, 2.040816326530612, 2.204081632653061, 2.3673469387755093, 2.5306122448979584, 2.6938775510204076, 2.8571428571428568, 3.020408163265306, 3.183673469387754, 3.3469387755102034, 3.5102040816326525, 3.6734693877551017, 3.836734693877551, 4.0]], \"y\": [[-50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0, -50.0], [-47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939, -47.95918367346939], [-45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877, -45.91836734693877], [-43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816, -43.87755102040816], [-41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755, -41.83673469387755], [-39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694, -39.79591836734694], [-37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325, -37.755102040816325], [-35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715, -35.714285714285715], [-33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105, -33.673469387755105], [-31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488, -31.632653061224488], [-29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878, -29.591836734693878], [-27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264, -27.551020408163264], [-25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265, -25.51020408163265], [-23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204, -23.46938775510204], [-21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427, -21.428571428571427], [-19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817, -19.387755102040817], [-17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203, -17.346938775510203], [-15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593, -15.306122448979593], [-13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976, -13.265306122448976], [-11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366, -11.224489795918366], [-9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756, -9.183673469387756], [-7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139, -7.142857142857139], [-5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529, -5.102040816326529], [-3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187, -3.0612244897959187], [-1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015, -1.0204081632653015], [1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086, 1.0204081632653086], [3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187, 3.0612244897959187], [5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529, 5.102040816326529], [7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146, 7.142857142857146], [9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756, 9.183673469387756], [11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366, 11.224489795918366], [13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983, 13.265306122448983], [15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593, 15.306122448979593], [17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021, 17.34693877551021], [19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813, 19.387755102040813], [21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143, 21.42857142857143], [23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048, 23.469387755102048], [25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265, 25.51020408163265], [27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268, 27.551020408163268], [29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885, 29.591836734693885], [31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488, 31.632653061224488], [33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105, 33.673469387755105], [35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572, 35.71428571428572], [37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325, 37.755102040816325], [39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694, 39.79591836734694], [41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756, 41.83673469387756], [43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816, 43.87755102040816], [45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878, 45.91836734693878], [47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694, 47.9591836734694], [50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0, 50.0]], \"z\": [[116992.0, 110737.82923781755, 104659.39858392338, 98756.70803831736, 93029.7576009996, 87478.54727197, 82103.07705122865, 76903.3469387755, 71879.3569346106, 67031.10703873387, 62358.597251145344, 57861.827571845075, 53540.79800083299, 49395.508538109134, 45425.95918367347, 41632.14993752604, 38014.08079966681, 34571.75177009579, 31305.162848813, 28214.31403581841, 25299.205331112047, 22559.836734693883, 19996.20824656394, 17608.319866722202, 15396.171595168684, 13359.763431903371, 11499.095376926289, 9814.167430237405, 8304.979591836736, 6971.531861724282, 5813.8242399000455, 4831.856726364019, 4025.6293211162033, 3395.142024156603, 2940.3948354852146, 2661.387755102042, 2558.1207830070803, 2630.5939192003325, 2878.8071636817986, 3302.760516451476, 3902.4539775093676, 4677.887546855475, 5629.061224489792, 6755.975010412329, 8058.628904623064, 9537.022907122026, 11191.157017909201, 13021.031236984585, 15026.645564348182, 17208.0], [114933.02457309455, 108731.83173677634, 102706.37900874637, 96856.66638900459, 91182.69387755104, 85684.46147438567, 80361.96917950854, 75215.21699291962, 70244.20491461892, 65448.93294460643, 60829.40108288213, 56385.60932944607, 52117.55768429821, 48025.24614743858, 44108.67471886714, 40367.84339858394, 36802.75218658893, 33413.401082882134, 30199.790087463567, 27161.9192003332, 24299.788421491052, 21613.397750937114, 19102.747188671394, 16767.836734693883, 14608.666389004582, 12625.236151603498, 10817.546022490636, 9185.596001665977, 7729.386089129532, 6448.916284881301, 5344.186588921289, 4415.197001249483, 3661.9475218658918, 3084.4381507705134, 2682.668887963349, 2456.6397334443996, 2406.3506872136613, 2531.801749271137, 2832.9929196168255, 3309.924198250726, 3962.595585172841, 4791.007080383171, 5795.158683881711, 6975.05039566847, 8330.682215743429, 9862.054144106613, 11569.166180758011, 13452.01832569762, 15510.61057892544, 17744.94294044148], [112894.87380258227, 106746.65889212827, 100774.18408996251, 94977.44939608496, 89356.45481049563, 83911.20033319449, 78641.68596418158, 73547.91170345689, 68629.87755102041, 63887.583506872135, 59321.02957101207, 54930.21574344023, 50715.142024156594, 46675.80841316119, 42812.21491045398, 39124.36151603499, 35612.24822990421, 32275.875052061645, 29115.241982507294, 26130.34902124115, 23321.196168263228, 20687.783423573514, 18230.110787172016, 15948.178259058728, 13841.985839233654, 11911.533527696793, 10156.821324448152, 8577.849229487718, 7174.617242815495, 5947.125364431487, 4895.373594335699, 4019.3619325281156, 3319.0903790087477, 2794.5589337775928, 2445.7675968346516, 2272.716368179925, 2275.4052478134104, 2453.8342357351094, 2808.0033319450226, 3337.9125364431457, 4043.5618492294834, 4924.951270304039, 5982.080799666803, 7214.950437317785, 8623.560183256968, 10207.910037484377, 11967.999999999996, 13903.83007080383, 16015.400249895874, 18302.710537276136], [110877.54768846315, 104782.31070387337, 98862.81382757184, 93119.05705955852, 87551.04039983342, 82158.7638483965, 76942.22740524782, 71901.43107038733, 67036.3748438151, 62347.05872553104, 57833.48271553519, 53495.64681382758, 49333.551020408166, 45347.19533527698, 41536.57975843399, 37901.70428987923, 34442.568929612666, 31159.173677634317, 28051.518533944196, 25119.603498542274, 22363.42857142858, 19782.993752603084, 17378.299042065813, 15149.344439816745, 13096.129945855895, 11218.655560183255, 9516.921282798841, 7990.927113702627, 6640.673052894629, 5466.1591003748445, 4467.385256143278, 3644.35152019992, 2997.0578925447744, 2525.5043731778433, 2229.6909620991255, 2109.6176593086216, 2165.28446480633, 2396.6913785922525, 2803.838400666388, 3386.7255310287346, 4145.352769679296, 5079.720116618074, 6189.82757184506, 7475.675135360267, 8937.262807163672, 10574.590587255303, 12387.658475635148, 14376.466472303204, 16541.01457725947, 18881.302790503956], [108881.0462307372, 102838.78717201165, 96972.26822157434, 91281.48937942524, 85766.45064556437, 80427.15201999168, 75263.5935027072, 70275.77509371097, 65463.696793002935, 60827.3586005831, 56366.760516451475, 52081.90254060809, 47972.7846730529, 44039.40691378593, 40281.76926280717, 36699.87172011662, 33293.71428571429, 30063.296959600164, 27008.619741774266, 24129.68263223657, 21426.4856309871, 18899.028738025827, 16547.311953352775, 14371.335276967933, 12371.098708871305, 10546.60224906289, 8897.845897542697, 7424.829654310708, 6127.553519366932, 5006.01749271137, 4060.221574344028, 3290.1657642648925, 2695.850062473971, 2277.274468971263, 2034.4389837567683, 1967.3436068304873, 2075.988338192419, 2360.373177842565, 2820.498125780923, 3456.3631820074934, 4267.968346522277, 5255.313619325278, 6418.399000416487, 7757.224489795916, 9271.790087463545, 10962.095793419398, 12828.141607663467, 14869.927530195746, 17087.453561016235, 19480.719700124944], [106905.36942940441, 100916.08829654311, 95102.54727197002, 89464.74635568511, 84002.68554768847, 78716.36484798, 73605.78425655977, 68670.94377342775, 63911.84339858394, 59328.48313202833, 54920.86297376093, 50688.98292378176, 46632.842982090806, 42752.44314868805, 39047.78342357351, 35518.86380674719, 32165.684298209082, 28988.244897959186, 25986.545605997504, 23160.586422324035, 20510.367346938783, 18035.888379841737, 15737.149521032912, 13614.150770512291, 11666.892128279887, 9895.373594335695, 8299.595168679723, 6879.556851311958, 5635.258642232406, 4566.700541441068, 3673.882548937947, 2956.8046647230353, 2415.466888796336, 2049.869221157852, 1860.0116618075808, 1845.8942107455225, 2007.5168679716776, 2344.8796334860463, 2857.9825072886288, 3546.825489379421, 4411.408579758429, 5451.731778425654, 6667.795085381086, 8059.598500624738, 9627.14202415659, 11370.425655976669, 13289.44939608496, 15384.21324448146, 17654.717201166175, 20100.96126613911], [104950.51728446482, 99014.21407746771, 93253.65097875886, 87668.82798833819, 82259.74510620575, 77026.40233236151, 71968.79966680548, 67086.93710953768, 62380.81466055811, 57850.432319866726, 53495.79008746355, 49316.88796334861, 45313.72594752186, 41486.30403998335, 37834.62224073303, 34358.680549770936, 31058.478967097042, 27934.01749271137, 24985.296126613917, 22212.314868804664, 19615.07371928364, 17193.572678050816, 14947.811745106212, 12877.790920449814, 10983.510204081635, 9264.969596001665, 7722.169096209918, 6355.108704706376, 5163.788421491046, 4148.208246563932, 3308.368179925034, 2644.268221574346, 2155.908371511871, 1843.2886297376097, 1706.408996251562, 1745.269471053727, 1959.8700541441058, 2350.210745522698, 2916.2915451895033, 3658.112453144519, 4575.67346938775, 5668.974593919198, 6938.015826738854, 8382.797167846731, 10003.318617242805, 11799.580174927105, 13771.58184089962, 15919.323615160345, 18242.805497709283, 20742.02748854644], [103016.48979591837, 97133.16451478549, 91425.57934194087, 85893.73427738443, 80537.62932111621, 75357.2644731362, 70352.6397334444, 65523.75510204082, 60870.610578925465, 56393.2061640983, 52091.54185755935, 47965.617659308635, 44015.43356934611, 40240.989587671815, 36642.28571428572, 33219.32194918784, 29972.098292378185, 26900.614743856724, 24004.8713036235, 21284.867971678468, 18740.604748021666, 16372.081632653066, 14179.298625572683, 12162.255726780511, 10320.95293627655, 8655.390254060807, 7165.567680133284, 5851.485214493963, 4713.14285714286, 3750.540608079967, 2963.6784673052935, 2352.5564348188273, 1917.1745106205758, 1657.5326947105377, 1573.630987088713, 1665.4693877551013, 1933.0478967097029, 2376.3665139525183, 2995.4252394835466, 3790.2240733027857, 4760.763015410241, 5907.04206580591, 7229.061224489789, 8726.82049146189, 10400.319866722186, 12249.55935027071, 14274.538942107449, 16475.258642232395, 18851.718450645556, 21403.918367346938], [101103.2869637651, 95272.93960849644, 89618.33236151605, 84139.46522282384, 78836.33819241985, 73708.95127030404, 68757.30445647647, 63981.39775093712, 59381.23115368598, 54956.80466472304, 50708.11828404831, 46635.172011661816, 42737.96584756352, 39016.49979175345, 35470.773844231575, 32100.78800499793, 28906.542274052485, 25888.036651395254, 23045.271137026248, 20378.245730945444, 17886.96043315286, 15571.415243648484, 13431.610162432327, 11467.545189504377, 9679.22032486464, 8066.635568513118, 6629.790920449819, 5368.686380674722, 4283.321949187841, 3373.6976259891726, 2639.8134110787205, 2081.669304456479, 1699.2653061224498, 1492.6014160766351, 1461.6776343190338, 1606.4939608496452, 1927.05039566847, 2423.3469387755085, 3095.3835901707607, 3943.160349854222, 4966.6772178259, 6165.934194085794, 7540.931278633897, 9091.66847147022, 10818.145772594738, 12720.363182007484, 14798.320699708449, 17052.01832569762, 19481.456059975004, 22086.633902540605], [99210.90878800498, 93433.53935860057, 87831.9100374844, 82406.02082465639, 77155.87172011663, 72081.46272386504, 67182.79383590171, 62459.86505622657, 57912.676384839666, 53541.22782174095, 49345.51936693044, 45325.551020408166, 41481.322782174095, 37812.834652228245, 34320.0866305706, 31003.07871720117, 27861.81091211995, 24896.28321532695, 22106.495626822165, 19492.44814660558, 17054.140774677224, 14791.57351103707, 12704.746355685138, 10793.659308621409, 9058.312369845899, 7498.705539358598, 6114.838817159522, 4906.712203248649, 3874.3256976259904, 3017.6793002915456, 2336.773011245317, 1831.6068304872983, 1502.180758017493, 1348.4947938359019, 1370.548937942524, 1568.343190337358, 1941.8775510204064, 2491.1520199916686, 3216.1665972511446, 4116.9212827988285, 5193.41607663473, 6445.6509787588475, 7873.625989171174, 9477.34110787172, 11256.796334860464, 13211.991670137435, 15342.927113702619, 17649.602665556013, 20132.018325697623, 22790.174094127447], [97339.35526863806, 91614.96376509787, 86066.31236984591, 80693.40108288212, 75496.22990420659, 70474.79883381924, 65629.10787172012, 60959.15701790921, 56464.94627238652, 52146.47563515203, 48003.74510620575, 44036.7546855477, 40245.50437317784, 36629.99416909622, 33190.224073302794, 29926.194085797593, 26837.904206580595, 23925.35443565181, 21188.54477301125, 18627.475218658896, 16242.145772594758, 14032.556434818827, 11998.707205331117, 10140.598084131616, 8458.229071220325, 6951.600166597251, 5620.711370262396, 4465.5626822157465, 3486.154102457311, 2682.485630987089, 2054.557267805084, 1602.369012911288, 1325.9208663057066, 1225.2128279883384, 1300.2448979591838, 1551.017076218241, 1977.5293627655121, 2579.781757600998, 3357.774260724696, 4311.506872136604, 5440.979591836728, 6746.192419825069, 8227.145356101617, 9883.838400666387, 11716.271553519353, 13724.444814660546, 15908.358184089953, 18268.011661807574, 20803.405247813404, 23514.53894210745], [95488.6264056643, 89817.21282798832, 84321.53935860058, 79001.60599750103, 73857.4127446897, 68888.95960016659, 64096.246563931694, 59479.273635984995, 55038.04081632654, 50772.548104956266, 46682.79550187421, 42768.78300708039, 39030.510620574765, 35467.97834235736, 32081.186172428155, 28870.134110787178, 25834.822157434402, 22975.250312369848, 20291.41857559351, 17783.32694710537, 15450.975426905463, 13294.364014993753, 11313.492711370265, 9508.361516034987, 7878.970428987923, 6425.31945022907, 5147.4085797584385, 4045.2378175760127, 3118.8071636818, 2368.1166180758023, 1793.16618075802, 1393.9558517284474, 1170.4856309870888, 1122.755518533944, 1250.7655143690129, 1554.515618492293, 2034.005830903788, 2689.2361516034966, 3520.2065805914185, 4526.91711786755, 5709.3677634318965, 7067.558517284461, 8601.489379425235, 10311.160349854228, 12196.571428571417, 14257.722615576837, 16494.613910870466, 18907.24531445231, 21495.616826322363, 24259.728446480636], [93658.72219908371, 88040.28654727196, 82597.59100374844, 77330.6355685131, 72239.42024156603, 67323.94502290711, 62584.20991253644, 58020.21491045397, 53631.96001665974, 49419.44523115369, 45382.67055393585, 41521.63598500626, 37836.34152436485, 34326.78717201167, 30992.972927946685, 27834.898792169937, 24852.56476468138, 22045.970845481046, 19415.11703456893, 16960.003331945023, 14680.629737609335, 12576.996251561854, 10649.102873802587, 8896.949604331528, 7320.536443148688, 5919.863390254059, 4694.930445647651, 3645.7376093294483, 2772.2848812994594, 2074.572261557684, 1552.599750104125, 1206.3673469387763, 1035.875052061641, 1041.1228654727195, 1222.1107871720117, 1578.8388171595147, 2111.3069554352332, 2819.515201999165, 3703.4635568513104, 4763.152019991665, 5998.580591420236, 7409.749271137023, 8996.658059142019, 10759.306955435237, 12697.695960016648, 14811.825072886288, 17101.694294044144, 19567.30362349021, 22208.653061224486, 25025.742607246983], [91849.64264889629, 86284.18492294877, 80894.46730528947, 75680.48979591837, 70642.2523948355, 65779.75510204081, 61092.99791753436, 56581.98084131612, 52246.703873386105, 48087.167013744285, 44103.37026239067, 40295.313619325294, 36662.99708454811, 33206.42065805915, 29925.584339858397, 26820.488129945858, 23891.13202832154, 21137.516034985423, 18559.640149937535, 16157.504373177844, 13931.108704706377, 11880.453144523117, 10005.537692628075, 8306.362349021243, 6782.927113702624, 5435.231986672219, 4263.276967930034, 3267.0620574760546, 2446.587255310288, 1801.8525614327366, 1332.8579758434003, 1039.6034985422748, 922.0891295293628, 980.3148688046643, 1214.28071636818, 1623.9866722199063, 2209.4327363598472, 2970.618908788003, 3907.545189504371, 5020.211578508948, 6308.618075801742, 7772.764681382752, 9412.65139525197, 11228.27821740941, 13219.645147855044, 15386.75218658891, 17729.599333610986, 20248.186588921275, 22942.513952519774, 25812.581424406497], [90061.38775510204, 84548.90795501872, 79212.16826322365, 74051.16867971676, 69065.90920449814, 64256.389837567665, 59622.61057892544, 55164.57142857142, 50882.27238650563, 46775.71345272803, 42844.89462723864, 39089.81591003748, 35510.477301124534, 32106.8788004998, 28879.02040816327, 25826.90212411496, 22950.523948354854, 20249.885880882965, 17724.9879216993, 15375.830070803833, 13202.41232819659, 11204.734693877554, 9382.797167846735, 7736.599750104126, 6266.14244064973, 4971.425239483548, 3852.448146605585, 2909.211162015829, 2141.7142857142867, 1549.957517700958, 1133.940857975845, 893.6643065389426, 829.127863390254, 940.3315285297787, 1227.2753019575175, 1689.9591836734667, 2328.3831736776315, 3142.54727197001, 4132.451478550602, 5298.095793419402, 6639.4802165764195, 8156.604748021655, 9849.469387755096, 11718.07413577676, 13762.41899208662, 15982.503956684708, 18378.32902957101, 20949.894210745522, 23697.199500208244, 26620.244897959186], [88293.95751770097, 82834.45564348187, 77550.69387755102, 72442.67221990836, 67510.39067055394, 62753.84922948771, 58173.04789670971, 53767.98667221991, 49538.66555601834, 45485.08454810496, 41607.243648479795, 37905.14285714286, 34378.78217409413, 31028.161599333616, 27853.28113286131, 24854.14077467722, 22030.740524781344, 19383.080383173678, 16911.16034985423, 14614.980424822992, 12494.540608079971, 10549.840899625158, 8780.881299458564, 7187.661807580177, 5770.182423990005, 4528.443148688046, 3462.443981674306, 2572.1849229487734, 1857.6659725114546, 1318.8871303623494, 955.848396501459, 768.5497709287802, 756.9912536443148, 921.172844648063, 1261.0945439400252, 1776.7563515201973, 2468.1582673885855, 3335.3002915451875, 4378.182423990003, 5596.804664723026, 6991.167013744266, 8561.269471053725, 10307.11203665139, 12228.694710537278, 14326.017492711358, 16599.08038317367, 19047.88338192419, 21672.426488962927, 24472.709704289875, 27448.733027905044], [86547.35193669306, 81140.82798833819, 75910.04414827155, 70855.00041649313, 65975.69679300292, 61272.133277800924, 56744.30987088713, 52392.226572261556, 48215.88338192421, 44215.280299875056, 40390.41732611412, 36741.29446064141, 33267.91170345689, 29970.269054560606, 26848.366513952522, 23902.204081632655, 21131.781757601006, 18537.099541857555, 16118.157434402336, 13874.955435235323, 11807.493544356523, 9915.771761765933, 8199.79008746356, 6659.548521449398, 5295.047063723448, 4106.285714285714, 3093.2644731361966, 2255.9833402748873, 1594.4423157017916, 1108.6413994169097, 798.5805914202427, 664.2598917117868, 705.6793002915449, 922.8388171595163, 1315.7384423157016, 1884.378175760097, 2628.758017492708, 3548.877967513534, 4644.738025822571, 5916.338192419818, 7363.6784673052825, 8986.758850478962, 10785.579341940851, 12760.13994169096, 14910.440649729264, 17236.481466055797, 19738.26239067055, 22415.783423573503, 25269.04456476467, 28298.045814244062], [84821.57101207829, 79468.02498958766, 74290.21907538526, 69288.15326947105, 64461.82757184507, 59811.24198250728, 55336.396501457726, 51037.29112869638, 46913.92586422325, 42966.30070803831, 39194.4156601416, 35598.270720533124, 32177.86588921283, 28933.201166180763, 25864.276551436902, 22971.092044981262, 20253.647646813828, 17711.943356934615, 15345.979175343611, 13155.75510204082, 11141.271137026244, 9302.527280299877, 7639.523531861729, 6152.259891711789, 4840.736359850063, 3704.952936276551, 2744.909620991257, 1960.6064139941711, 1352.0433152852988, 919.22032486464, 662.1374427321958, 580.7946688879633, 675.1920033319448, 945.3294460641391, 1391.2069970845482, 2012.8246563931662, 2810.1824239900006, 3783.2802998750494, 4932.118284048311, 6256.696376509781, 7757.014577259466, 9433.072886297374, 11284.87130362348, 13312.409829237818, 15515.688463140345, 17894.707205331106, 20449.466055810073, 23179.965014577254, 26086.204081632648, 29168.183256976263], [83116.61474385671, 77816.04664723031, 72691.21865889212, 67742.13077884214, 62968.78300708039, 58371.175343606825, 53949.30778842149, 49703.18034152436, 45632.79300291546, 41738.145772594755, 38019.238650562256, 34476.071636818, 31108.644731361932, 27916.95793419409, 24901.01124531445, 22060.804664723037, 19396.338192419826, 16907.611828404828, 14594.625572678055, 12457.379425239484, 10495.873386089133, 8710.107455226991, 7100.081632653066, 5665.795918367348, 4407.250312369846, 3324.444814660557, 2417.3794252394864, 1686.0541441066237, 1130.4689712619747, 750.6239067055392, 546.5189504373182, 518.1541024573091, 665.529362765514, 988.6447313619318, 1487.5002082465644, 2162.0957934194053, 3012.431486880463, 4038.507288629735, 5240.323198667221, 6617.879216992913, 8171.175343606823, 9900.211578508952, 11804.987921699285, 13885.504373177844, 16141.760932944591, 18573.757600999576, 21181.494377342766, 23964.97126197417, 26924.188254893787, 30059.145356101624], [81432.48313202834, 76184.89296126613, 71113.04289879218, 66216.93294460641, 61496.56309870889, 56951.93336109954, 52583.04373177842, 48389.89421074552, 44372.48479800085, 40530.81549354436, 36864.88629737609, 33374.69720949605, 30060.24822990421, 26921.53935860059, 23958.570595585174, 21171.34194085798, 18559.853394418995, 16124.104956268222, 13864.09662640567, 11779.828404831322, 9871.300291545194, 8138.512286547273, 6581.464389837572, 5200.156601416079, 3994.588921282799, 2964.7613494377338, 2110.673885880886, 1432.3265306122464, 929.7192836318205, 602.8521449396085, 451.72511453561043, 476.33819241982474, 676.6913785922527, 1052.7846730528936, 1604.6180758017492, 2332.1915868388137, 3235.5052061640945, 4314.55893377759, 5569.352769679297, 6999.886713869213, 8606.160766347348, 10388.174927113698, 12345.929196168256, 14479.423573511036, 16788.658059142006, 19273.632653061213, 21934.34735526863, 24770.802165764257, 27782.997084548093, 30970.932111620157], [79769.1761765931, 74574.56393169511, 69555.69179508538, 64712.55976676385, 60045.16784673055, 55553.51603498543, 51237.60433152853, 47097.43273635985, 43133.00124947939, 39344.30987088714, 35731.35860058309, 32294.14743856727, 29032.676384839655, 25946.94543940026, 23036.95460224907, 20302.703873386094, 17744.19325281133, 15361.42274052478, 13154.39233652645, 11123.102040816328, 9267.551853394423, 7587.741774260727, 6083.671803415247, 4755.3419408579775, 3602.752186588922, 2625.9025406080796, 1824.7930029154547, 1199.4235735110385, 749.7942523948361, 475.9050395668473, 377.75593502707216, 455.34693877550956, 708.6780508121609, 1137.749271137025, 1742.5605997501043, 2523.112036651391, 3479.4035818408956, 4611.435235318614, 5919.206997084546, 7402.718867138684, 9061.970845481039, 10896.962932111615, 12907.695127030398, 15094.167430237401, 17456.379841732596, 19994.33236151602, 22708.024989587666, 25597.457725947515, 28662.63057059558, 31903.543523531855], [78126.693877551, 72985.05955851727, 68019.16534777176, 63229.01124531444, 58614.59725114536, 54175.92336526446, 49912.9895876718, 45825.79591836734, 41914.34235735111, 38178.628904623074, 34618.65556018325, 31234.422324031657, 28025.929196168265, 24993.17617659309, 22136.163265306124, 19454.890462307376, 16949.357767596837, 14619.565181174508, 12465.512703040402, 10487.200333194502, 8684.628071636822, 7057.795918367348, 5606.703873386092, 4331.351936693046, 3231.7401082882134, 2307.8683881715942, 1559.7367763431926, 987.3452728029995, 590.6938775510207, 369.78259058725513, 324.61141191170316, 455.18034152436405, 761.4893794252388, 1243.5385256143263, 1901.327780091629, 2734.857142857139, 3744.126613910867, 4929.136193252809, 6289.885880882965, 7826.3756768013245, 9538.605581007905, 11426.575593502705, 13490.285714285708, 15729.735943356936, 18144.926280716354, 20735.856726364007, 23502.52728029987, 26444.937942523942, 29563.08871303623, 32856.97959183674], [76505.03623490212, 71416.3798417326, 66503.46355685132, 61766.287380258225, 57204.85131195336, 52819.155351936686, 48609.19950020825, 44574.983756768015, 40716.508121616, 37033.77259475219, 33526.77717617659, 30195.52186588922, 27040.006663890046, 24060.2315701791, 21256.19658475635, 18627.90170762183, 16175.346938775514, 13898.532278217408, 11797.457725947526, 9872.123281965847, 8122.52894627239, 6548.67471886714, 5150.560599750107, 3928.1865889212845, 2881.552686380675, 2010.6588921282791, 1315.5052061641004, 796.091628488131, 452.4181591003751, 284.48479800083294, 292.2915451895039, 475.8384006663881, 835.1253644314861, 1370.1524364847965, 2080.9196168263225, 2967.4269054560555, 4029.6743023740064, 5267.6618075801725, 6681.389421074549, 8270.857142857134, 10036.064972927938, 11977.012911286958, 14093.700957934185, 16386.12911286964, 18854.297376093276, 21498.20574760515, 24317.854227405238, 27313.242815493537, 30484.371511870046, 33831.24031653478], [74904.20324864639, 69868.5247813411, 65008.586422324035, 60324.38817159516, 55815.93002915452, 51483.21199500207, 47326.23406913786, 43344.99625156185, 39539.49854227406, 35909.74094127447, 32455.723448563094, 29177.446064139946, 26074.908788005, 23148.111620158274, 20397.05456059975, 17821.73760932945, 15422.160766347357, 13198.324031653478, 11150.227405247817, 9277.870887130364, 7581.254477301127, 6060.378175760102, 4715.241982507292, 3545.845897542692, 2552.1899208663062, 1734.2740524781336, 1092.098292378178, 625.6626405664317, 334.9670970428991, 220.0116618075802, 280.7963348604741, 517.3211162015815, 929.5860058309028, 1517.5910037484368, 2281.3361099541858, 3220.8213244481417, 4336.046647230316, 5627.012078300704, 7093.717617659307, 8736.163265306111, 10554.349021241142, 12548.274885464387, 14717.940857975835, 17063.34693877551, 19584.493127863374, 22281.379425239476, 25154.005830903785, 28202.372344856303, 31426.478967097035, 34826.32569762599], [73324.19491878385, 68341.49437734277, 63534.53394418993, 58903.31361932527, 54447.83340274886, 50168.09329446063, 46064.09329446063, 42135.83340274885, 38383.31361932529, 34806.53394418992, 31405.49437734277, 28180.194918783847, 25130.635568513117, 22256.816326530618, 19558.737192836314, 17036.39816743024, 14689.79925031237, 12518.940441482713, 10523.821740941275, 8704.443148688046, 7060.804664723036, 5592.906289046232, 4300.748021657645, 3184.329862557269, 2243.651811745106, 1478.713869221157, 889.5160349854242, 476.05830903790144, 238.34069137859228, 176.36318200749676, 290.1257809246138, 579.6284881299447, 1044.8713036234894, 1685.8542274052468, 2502.5772594752193, 3495.0403998333986, 4663.243648479796, 6007.187005414408, 7526.870470637234, 9222.294044148264, 11093.457725947514, 13140.361516034982, 15363.005414410656, 17761.389421074553, 20335.513536026643, 23085.37775926696, 26010.982090795496, 29112.326530612238, 32389.411078717196, 35842.23573511037], [71765.01124531445, 66835.28862973761, 62081.30612244899, 57503.06372344856, 53100.56143273637, 48873.79925031237, 44822.77717617659, 40947.49521032903, 37247.95335276969, 33724.15160349855, 30376.089962515616, 27203.768429820913, 24207.18700541441, 21386.345689296133, 18741.244481466056, 16271.883381924203, 13978.262390670556, 11860.381507705122, 9918.24073302791, 8151.840066638901, 6561.179508538113, 5146.259058725533, 3907.0787172011687, 2843.638483965016, 1955.9383590170764, 1243.9783423573504, 707.7584339858407, 347.2786339025412, 162.53894210745528, 153.53935860058306, 320.279883381923, 662.7605164514771, 1180.9812578092447, 1874.9421074552256, 2744.6430653894213, 3790.0841316118235, 5011.265306122444, 6408.18658892128, 7980.847980008326, 9729.249479383581, 11653.391087047054, 13753.272802998745, 16028.894627238642, 18480.256559766764, 21107.358600583073, 23910.200749687618, 26888.783007080376, 30043.10537276134, 33373.16784673052, 36878.97042898792], [70226.65222823825, 65349.9075385256, 60648.902957101214, 56123.63848396501, 51774.114119117046, 47600.329862557264, 43602.28571428571, 39779.98167430237, 36133.41774260726, 32662.593919200342, 29367.510204081627, 26248.16659725115, 23304.563098708873, 20536.69970845482, 17944.576426488966, 15528.193252811332, 13287.550187421908, 11222.6472303207, 9333.48438150771, 7620.061640982924, 6082.379008746359, 4720.436484798002, 3534.2340691378627, 2523.7717617659323, 1689.0495626822162, 1030.0674718867135, 546.8254893794267, 239.32361516035044, 107.56184922948778, 151.54019158683877, 371.2586422324017, 766.7172011661789, 1337.91586838817, 2084.854643898374, 3007.5335276967935, 4105.952519783418, 5380.111620158263, 6830.010828821321, 8455.650145772594, 10257.02957101207, 12234.149104539763, 14387.008746355677, 16715.6084964598, 19219.948354852146, 21900.028321532678, 24755.84839650144, 27787.408579758427, 30994.708871303614, 34377.74927113702, 37936.529779258635], [68709.11786755518, 63885.35110370678, 59237.32444814661, 54765.03790087463, 50468.49146189089, 46347.685131195336, 42402.618908788005, 38633.29279466889, 35039.70678883799, 31621.860891295295, 28379.75510204081, 25313.389421074557, 22422.763848396506, 19707.878384006668, 17168.73302790504, 14805.327780091633, 12617.662640566432, 10605.737609329448, 8769.552686380677, 7109.107871720118, 5624.403165347775, 4315.438567263642, 3182.214077467725, 2224.7296959600185, 1442.9854227405256, 836.981257809246, 406.7172011661821, 152.1932528113291, 73.40941274468972, 170.36568096626394, 443.06205747604986, 891.4985422740504, 1515.6751353602654, 2315.591836734692, 3291.2486463973346, 4442.645564348182, 5769.7825905872505, 7272.659725114531, 8951.276967930025, 10805.634319033725, 12835.731778425645, 15041.569346105785, 17423.14702207413, 19980.464806330696, 22713.52269887545, 25622.32069970844, 28706.85880882965, 31967.137026239063, 35403.155351936686, 39014.91378592254], [67212.40816326531, 62441.61932528113, 57846.57059558518, 53427.261974177425, 49183.693461057905, 45115.86505622657, 41223.77675968346, 37507.42857142857, 33966.820491461905, 30601.95251978343, 27412.824656393168, 24399.436901291137, 21561.7892544773, 18899.88171595169, 16413.714285714286, 14103.286963765102, 11968.599750104126, 10009.652644731359, 8226.445647646817, 6618.978758850479, 5187.25197834236, 3931.26530612245, 2851.018742190756, 1946.512286547273, 1217.7459391920033, 664.7197001249474, 287.4335693461067, 85.8875468554771, 60.08163265306113, 210.01582673885878, 535.6901291128678, 1037.1045397750918, 1714.2590587255297, 2567.15368596418, 3595.788421491046, 4800.163265306117, 6180.278217409407, 7736.133277800913, 9467.72844648063, 11375.063723448555, 13458.139108704696, 15716.954602249056, 18151.510204081627, 20761.805914202414, 23547.841732611392, 26509.617659308606, 29647.133694294032, 32960.38983756767, 36449.38608912952, 40114.122448979586], [65736.52311536859, 61018.71220324864, 56476.64139941691, 52110.31070387338, 47919.720116618075, 43904.869637650976, 40065.75926697209, 36402.38900458142, 32914.758850478975, 29602.868804664722, 26466.71886713869, 23506.30903790088, 20721.639316951274, 18112.709704289886, 15679.520199916702, 13422.07080383174, 11340.361516034987, 9434.392336526447, 7704.163265306124, 6149.674302374012, 4770.925447730116, 3567.9167013744286, 2540.6480633069577, 1689.119533527698, 1013.3311120366518, 513.2827988338189, 188.9745939192012, 40.40649729279482, 67.57850895460207, 270.490628904623, 649.1428571428551, 1203.5351936693023, 1933.6676384839634, 2839.540191586837, 3921.152852977926, 5178.50562265722, 6611.598500624734, 8220.431486880461, 10005.004581424404, 11965.317784256547, 14101.371095376915, 16413.1645147855, 18900.69804248229, 21563.971678467307, 24402.98542274051, 27417.73927530195, 30608.233236151595, 33974.46730528946, 37516.44148271553, 41234.155768429824], [64281.46272386505, 59616.62973760931, 55127.53685964181, 50814.18408996251, 46676.571428571435, 42714.698875468544, 38928.5664306539, 35318.17409412745, 31883.52186588922, 28624.60974593919, 25541.43773427738, 22634.005830903792, 19902.31403581841, 17346.36234902125, 14966.150770512286, 12761.67930029155, 10732.947938359019, 8879.956684714703, 7202.7055393586015, 5701.194502290714, 4375.423573511041, 3225.392753019577, 2251.102040816329, 1452.5514369012924, 829.7409412744694, 382.6705539358599, 111.34027488546512, 15.750104123281996, 95.9000416493125, 351.79008746355663, 783.4202415660116, 1390.7905039566822, 2173.9008746355667, 3132.7513536026636, 4267.341940857976, 5577.672636401492, 7063.743440233231, 8725.554352353181, 10563.105372761347, 12576.396501457715, 14765.427738442304, 17130.199083715117, 19670.71053727613, 22386.962099125365, 25278.953769262793, 28346.685547688452, 31590.157434402325, 35009.36942940441, 38604.3215326947, 42375.01374427322], [62847.226988754686, 58235.37192836317, 53799.2569762599, 49538.882132444814, 45454.24739691796, 41545.352769679295, 37812.19825072886, 34254.78384006664, 30873.10953769264, 27667.175343606832, 24636.981257809242, 21782.52728029988, 19103.813411078718, 16600.83965014578, 14273.60599750104, 12122.112453144524, 10146.35901707622, 8346.345689296126, 6722.072469804251, 5273.539358600583, 4000.7463556851335, 2903.6934610578937, 1982.3806747188692, 1236.8079966680557, 666.9754269054561, 272.88296543107003, 54.53061224489838, 11.918367346938666, 145.04623073719262, 453.91420241566016, 938.5222823823383, 1598.8704706372323, 2434.95876718034, 3446.78717201166, 4634.355685131196, 5997.664306538936, 7536.713036234896, 9251.501874219073, 11142.03082049146, 13208.299875052053, 15450.309037900864, 17868.058309037893, 20461.547688463128, 23230.77717617659, 26175.746772178238, 29296.456476468124, 32592.906289046223, 36065.09620991253, 39713.02623906705, 43536.69637650979], [61433.81591003749, 56874.93877551019, 52491.80174927114, 48284.40483132028, 44252.74802165765, 40396.83132028322, 36716.654727197, 33212.218242399, 29883.521865889223, 26730.565597667643, 23753.349437734272, 20951.873386089137, 18326.137442732197, 15876.141607663478, 13601.885880882965, 11503.370262390674, 9580.59475218659, 7833.559350270722, 6262.264056643067, 4866.708871303624, 3646.893794252397, 2602.8188254893803, 1734.483965014579, 1041.8892128279892, 525.0345689296129, 183.92003331945006, 18.54560599750132, 28.911286963764855, 215.01707621824204, 576.8629737609328, 1114.4489795918337, 1827.7750937109513, 2716.841316118282, 3781.6476468138253, 5022.194085797584, 6438.480633069548, 8030.507288629731, 9798.27405247813, 11741.780924614743, 13861.027905039558, 16156.01499375259, 18626.742190753845, 21273.209496043306, 24095.416909620988, 27093.364431486858, 30267.052061640963, 33616.479800083296, 37141.64764681382, 40842.55560183256, 44719.20366513952], [60041.22948771345, 55535.33027905038, 51205.17117867555, 47050.752186588914, 43072.07330279051, 39269.13452728029, 35641.93586005831, 32190.477301124527, 28914.758850478975, 25814.780508121614, 22890.542274052474, 20142.044148271554, 17569.286130778844, 15172.268221574348, 12950.990420658058, 10905.45272802999, 9035.655143690128, 7341.597667638482, 5823.280299875054, 4480.703040399832, 3313.8658892128296, 2322.768846314036, 1507.4119117034584, 867.7950853810916, 403.9183673469387, 115.7817576009993, 3.385256143273714, 66.72886297376068, 305.8125780924613, 720.6364014993756, 1311.2003331945, 2077.5043731778396, 3019.5485214493947, 4137.332778009161, 5430.857142857144, 6900.12161599333, 8545.126197417738, 10365.870887130357, 12362.355685131195, 14534.58059142023, 16882.545605997493, 19406.25072886297, 22105.695960016652, 24980.88129945856, 28031.806747188653, 31258.472303206985, 34660.87796751353, 38239.023740108285, 41992.90962099125, 45922.535610162435], [58669.46772178259, 54216.54643898375, 49939.36526447314, 45837.92419825072, 41912.22324031654, 38162.262390670556, 34588.041649312785, 31189.561016243235, 27966.820491461902, 24919.820074968768, 22048.559766763847, 19353.039566847154, 16833.259475218663, 14489.21949187839, 12320.919616826322, 10328.359850062478, 8511.54019158684, 6870.460641399417, 5405.121199500211, 4115.521865889214, 3001.6626405664338, 2063.5435235318632, 1301.1645147855083, 714.5256143273646, 303.62682215743473, 68.46813827571842, 9.049562682215608, 125.37109537692564, 417.4327363598493, 885.2344856309867, 1528.7763431903338, 2348.058309037897, 3343.080383173675, 4513.842565597664, 5860.344856309871, 7382.587255310279, 9080.56976259891, 10954.292378175753, 13003.755102040814, 15228.957934194072, 17629.900874635554, 20206.58392336526, 22959.007080383162, 25887.170345689294, 28991.07371928361, 32270.71720116616, 35726.10079133693, 39357.2244897959, 43164.0882965431, 47146.69221157851], [57318.53061224489, 52918.587255310274, 48694.384006663895, 44645.92086630569, 40773.19783423574, 37076.214910453964, 33554.97209496043, 30209.4693877551, 27039.70678883799, 24045.68429820908, 21227.40191586838, 18584.859641815914, 16118.057476051647, 13826.995418575598, 11711.673469387755, 9772.091628488133, 8008.249895876719, 6420.1482715535185, 5007.786755518536, 3771.165347771762, 2710.284048313205, 1825.142857142858, 1115.7417742607263, 582.0807996668061, 224.15993336109963, 41.97917534360676, 35.538525614327085, 204.83798417326054, 549.8775510204076, 1070.6572261557683, 1767.1770095793383, 2639.4369012911257, 3687.4369012911266, 4911.17700957934, 6310.6572261557685, 7885.877551020401, 9636.837984173255, 11563.538525614324, 13665.979175343604, 15944.159933361087, 18398.080799666794, 21027.74177426072, 23833.142857142848, 26814.284048313202, 29971.16534777174, 33303.78675551852, 36812.14827155351, 40496.24989587671, 44356.091628488124, 48391.673469387766], [55988.41815910037, 51641.45272802997, 47470.22740524782, 43474.74219075384, 39654.997084548115, 36010.99208663056, 32542.727197001248, 29250.20241566014, 26133.41774260725, 23192.373177842564, 20427.068721366093, 17837.504373177842, 15423.680133277801, 13185.596001665976, 11123.251978342356, 9236.648063306957, 7525.784256559766, 5990.66055810079, 4631.27696793003, 3447.63348604748, 2439.730112453146, 1607.5668471470224, 951.1436901291139, 470.4606413994172, 165.51770095793415, 36.31486880466472, 82.85214493960818, 305.1295293627651, 703.1470220741356, 1276.90462307372, 2026.4023323615136, 2951.640149937523, 4052.618075801748, 5329.336109954185, 6781.794252394837, 8409.99250312369, 10213.930862140769, 12193.609329446064, 14349.027905039566, 16680.186588921275, 19187.0853810912, 21869.724281549352, 24728.103290295705, 27762.222407330282, 30972.08163265304, 34357.680966264044, 37919.02040816326, 41656.09995835068, 45568.919616826315, 49657.47938359018], [54679.130362349024, 50385.14285714285, 46266.895460224914, 42324.38817159517, 38557.62099125365, 34966.59391920033, 31551.306955435237, 28311.760099958352, 25247.95335276969, 22359.886713869222, 19647.560183256974, 17110.97376093295, 14750.127446897128, 12565.021241149527, 10555.65514369013, 8722.029154518954, 7064.143273635987, 5581.997501041233, 4275.591836734697, 3144.926280716369, 2190.000832986258, 1410.8154935443577, 807.3702623906722, 379.66513952519847, 127.70012494793848, 51.47521865889211, 150.99042065805833, 426.2457309454383, 877.241149521032, 1503.976676384839, 2306.4523115368556, 3284.668054977088, 4438.623906705537, 5768.319866722196, 7273.755935027071, 8954.93211162015, 10811.84839650145, 12844.504789670966, 15052.901291128692, 17437.037900874624, 19996.91461890877, 22732.531445231143, 25643.888379841723, 28730.985422740523, 31993.822573927508, 35432.39983340273, 39046.71720116617, 42836.774677217814, 46802.572261557674, 50944.109954185755], [53390.66722199084, 49149.65764264889, 45084.38817159517, 41194.85880882965, 37481.06955435236, 33943.02040816327, 30580.71137026239, 27394.142440649728, 24383.313619325287, 21548.224906289048, 18888.876301541022, 16405.26780508122, 14097.399416909622, 11965.271137026244, 10008.88296543107, 8228.234902124117, 6623.326947105374, 5194.159100374844, 3940.7313619325296, 2863.0437317784263, 1961.0962099125381, 1234.8887963348611, 684.4214910453989, 309.6942940441487, 110.70720533111208, 87.46022490628916, 239.9533527696785, 568.1865889212818, 1072.1599333610989, 1751.8733860891296, 2607.3269471053686, 3638.520616409826, 4845.454394002497, 6228.12827988338, 7786.542274052479, 9520.696376509779, 11430.590587255303, 13516.22490628904, 15777.599333610993, 18214.71386922115, 20827.56851311952, 23616.163265306117, 26580.498125780916, 29720.573094543943, 33036.38817159515, 36527.943356934586, 40195.238650562256, 44038.274052478126, 48057.049562682216, 52251.565181174505], [52123.02873802582, 47934.99708454809, 43922.7055393586, 40086.15410245731, 36425.34277384423, 32940.27155351936, 29630.94044148271, 26497.349437734272, 23539.498542274057, 20757.38775510204, 18151.017076218235, 15720.38650562266, 13465.496043315285, 11386.34568929613, 9482.93544356518, 7755.26530612245, 6203.3352769679295, 4827.145356101622, 3626.6955435235327, 2601.9858392336523, 1753.0162432319878, 1079.7867555185342, 582.2973760932953, 260.5481049562685, 114.53894210745531, 144.2698875468558, 349.7409412744683, 730.9521032902951, 1287.9033735943356, 2020.5947521865896, 2929.0262390670523, 4013.1978342357315, 5273.109537692627, 6708.761349437733, 8320.153269471055, 10107.28529779258, 12070.157434402328, 14208.769679300287, 16523.122032486463, 19013.214493960837, 21679.04706372344, 24520.61974177426, 27537.93252811328, 30730.985422740527, 34099.77842565596, 37644.31153685963, 41364.58475635151, 45260.598084131605, 49332.35152019991, 53579.845064556444], [50876.21491045398, 46741.16118284047, 42781.847563515206, 38998.274052478126, 35390.44064972929, 31958.347355268634, 28701.99416909621, 25621.381091211995, 22716.508121616003, 19987.375260308207, 17433.982507288627, 15056.329862557273, 12854.417326114122, 10828.24489795919, 8977.812578092464, 7303.120366513956, 5804.168263223658, 4480.956268221575, 3333.484381507707, 2361.75260308205, 1565.7609329446084, 945.5093710953778, 500.9979175343617, 232.226572261558, 139.1953352769679, 221.90420658059148, 480.3531861724268, 914.5422740524766, 1524.4714702207402, 2310.140774677217, 3271.5501874219026, 4408.699708454805, 5721.589337775924, 7210.219075385252, 8874.588921282799, 10714.698875468544, 12730.548937942516, 14922.139108704701, 17289.469387755096, 19832.539775093697, 22551.35027072052, 25445.90087463556, 28516.191586838806, 31762.22240733028, 35183.99333610993, 38781.50437317783, 42554.75551853393, 46503.746772178245, 50628.478134110774, 54928.94960433152], [49650.225739275294, 45568.14993752602, 41661.814244064975, 37931.21865889212, 34376.363182007495, 30997.247813411068, 27793.872553102872, 24766.23740108288, 21914.34235735111, 19238.18742190754, 16737.772594752183, 14413.09787588505, 12264.163265306122, 10290.968763015415, 8493.514369012912, 6871.800083298627, 5425.825905872553, 4155.591836734693, 3061.0978758850492, 2142.344023323615, 1399.3302790503972, 832.05664306539, 440.52311536859713, 224.7296959600169, 184.67638483965018, 320.36318200749724, 631.7900874635556, 1118.957101207829, 1781.8642232403158, 2620.5114535610164, 3634.8987921699245, 4825.026239067051, 6190.8937942523935, 7732.501457725945, 9449.849229487714, 11342.937109537685, 13411.76509787588, 15656.333194502284, 18076.641399416905, 20672.68971261973, 23444.478134110777, 26392.006663890046, 29515.275301957507, 32814.2840483132, 36289.03290295708, 39939.5218658892, 43765.75093710953, 47767.72011661807, 51945.42940441482, 56298.878800499806], [48445.06122448979, 44415.96334860474, 40562.60558100791, 36884.987921699285, 33383.110370678885, 30056.972927946685, 26906.575593502705, 23931.918367346938, 21133.00124947939, 18509.82423990004, 16062.387338608907, 13790.690545606, 11694.733860891294, 9774.517284464808, 8030.040816326529, 6461.30445647647, 5068.308204914618, 3851.0520616409813, 2809.536026655561, 1943.7600999583506, 1253.7242815493555, 739.4285714285716, 400.87296959600224, 238.05747605164544, 250.9820907955021, 439.64681382757254, 804.0516451478541, 1344.1965847563506, 2060.081632653061, 2951.706788837985, 4019.072053311117, 5262.177426072465, 6681.022907122031, 8275.608496459809, 10045.9341940858, 11991.999999999993, 14113.80591420241, 16411.351936693045, 18884.63806747189, 21533.664306538933, 24358.430653894196, 27358.93710953769, 30535.18367346938, 33887.1703456893, 37414.89712619739, 41118.36401499374, 44997.5710120783, 49052.51811745106, 53283.20533111203, 57689.63265306123], [47260.72136609746, 43284.60141607663, 39484.22157434403, 35859.58184089963, 32410.682215743447, 29137.522698875466, 26040.10329029571, 23118.423990004165, 20372.48479800084, 17802.285714285717, 15407.826738858806, 13189.10787172012, 11146.12911286964, 9278.890462307376, 7587.39192003332, 6071.6334860474835, 4731.615160349855, 3567.3369429404415, 2578.7988338192436, 1766.0008329862562, 1128.942940441484, 667.6251561849235, 382.04748021657696, 272.2099125364432, 338.11245314452293, 579.7551020408165, 997.1378592253208, 1590.2607246980403, 2359.123698458974, 3303.726780508121, 4424.069970845476, 5720.153269471048, 7191.9766763848365, 8839.540191586835, 10662.843815077053, 12661.887546855465, 14836.671386922108, 17187.195335276963, 19713.45939192003, 22415.463556851297, 25293.207830070787, 28346.692211578502, 31575.916701374415, 34980.88129945856, 38561.586005830875, 42318.03082049145, 46250.21574344022, 50358.1407746772, 54641.8059142024, 59101.211162015825], [46097.2061640983, 42174.06413994168, 38426.6622240733, 34855.00041649313, 31459.078717201177, 28238.897126197415, 25194.45564348188, 22325.75426905456, 19632.79300291546, 17115.571845064558, 14774.09079550187, 12608.34985422741, 10618.34902124115, 8804.08829654311, 7165.5676801332775, 5702.787172011664, 4415.74677217826, 3304.446480633069, 2368.8862973760943, 1609.0662224073303, 1024.9862557267816, 616.6463973344444, 384.046647230321, 327.1870054144108, 446.0674718867139, 740.6880466472309, 1211.0487296959582, 1857.1495210329015, 2678.9904206580586, 3676.5714285714284, 4849.892544773006, 6198.953769262804, 7723.755102040814, 9424.296543107035, 11300.578092461476, 13352.599750104115, 15580.361516034976, 17983.863390254057, 20563.105372761347, 23318.08746355684, 26248.809662640553, 29355.271970012487, 32637.474385672627, 36095.416909620995, 39729.09954185753, 43538.52228238232, 47523.68513119532, 51684.588088296536, 56021.23115368596, 60533.6143273636], [44954.51561849229, 41084.3515201999, 37389.92753019575, 33871.243648479795, 30528.299875052064, 27361.09620991253, 24369.63265306122, 21553.909204498123, 18913.925864223245, 16449.682632236567, 14161.179508538105, 12048.416493127865, 10111.39358600583, 8350.110787172012, 6764.568096626404, 5354.7655143690135, 4120.703040399833, 3062.380674718866, 2179.7984173261148, 1472.9562682215742, 941.8542274052486, 586.4922948771348, 406.8704706372348, 402.98875468554803, 574.8471470220745, 922.4456476468149, 1445.7842565597655, 2144.862973760932, 3019.681799250312, 4070.2407330279057, 5296.539775093707, 6698.578925447726, 8276.358184089962, 10029.877551020407, 11959.13702623907, 14064.136609745932, 16344.876301541019, 18801.35610162432, 21433.576009995835, 24241.53602665555, 27225.236151603487, 30384.676384839648, 33719.85672636401, 37230.7771761766, 40917.437734277366, 44779.83840066638, 48817.9791753436, 53031.86005830903, 57421.48104956267, 61986.84214910456], [43832.64972927947, 40015.463556851304, 36374.01749271137, 32908.31153685964, 29618.345689296133, 26504.11995002082, 23565.634319033736, 20802.88879633486, 18215.883381924206, 15804.618075801753, 13569.092877967512, 11509.307788421494, 9625.262807163683, 7916.95793419409, 6384.393169512703, 5027.568513119536, 3846.4839650145777, 2841.1395251978342, 2011.5351936693057, 1357.6709704289883, 879.5468554768855, 577.1628488129949, 450.51895043731776, 499.6151603498541, 724.4514785506036, 1125.0279050395673, 1701.3444398167403, 2453.40108288213, 3381.1978342357334, 4484.73469387755, 5764.0116618075745, 7219.028738025816, 8849.785922532275, 10656.283215326943, 12638.520616409829, 14796.498125780912, 17130.215743440225, 19639.673469387748, 22324.871303623488, 25185.809246147423, 28222.487296959585, 31434.90545605997, 34823.06372344855, 38386.96209912536, 42126.60058309035, 46041.979175343586, 50133.09787588504, 54399.95668471469, 58842.55560183255, 63460.89462723867], [42731.6084964598, 38967.400249895865, 35378.93211162016, 31966.20408163264, 28729.216159933363, 25667.96834652227, 22782.46064139941, 20072.69304456476, 17538.66555601833, 15180.378175760101, 12997.830903790084, 10991.023740108292, 9159.956684714703, 7504.629737609333, 6025.04289879217, 4721.1961682632245, 3593.089546022491, 2640.7230320699705, 1864.0966264056653, 1263.2103290295713, 838.0641399416916, 588.6580591420244, 514.9920866305706, 617.0662224073304, 894.8804664723033, 1348.4348188254903, 1977.7292794668865, 2782.7638483965, 3763.5385256143263, 4920.053311120367, 6252.308204914612, 7760.30320699708, 9444.03831736776, 11303.513536026654, 13338.728862973761, 15549.684298209071, 17936.379841732607, 20498.81549354435, 23236.991253644315, 26150.90712203247, 29240.56309870886, 32505.95918367347, 35947.09537692627, 39563.97167846731, 43356.58808829652, 47324.94460641398, 51469.041232819654, 55788.87796751353, 60284.45481049562, 64955.77176176594], [41651.39192003331, 37940.1615993336, 34404.67138692211, 31044.921282798827, 27860.91128696377, 24852.6413994169, 22020.111620158263, 19363.321949187834, 16882.272386505625, 14576.962932111619, 12447.393586005826, 10493.564348188256, 8715.475218658892, 7113.126197417745, 5686.517284464806, 4435.648479800084, 3360.5197834235732, 2461.131195335276, 1737.482715535194, 1189.5743440233236, 817.4060807996674, 620.9779258642235, 600.289879216993, 755.3419408579763, 1086.1341107871726, 1592.666389004583, 2274.9387755102025, 3132.951270304039, 4166.703873386089, 5376.196584756353, 6761.429404414823, 8322.402332361511, 10059.115368596418, 11971.568513119533, 14059.761765930865, 16323.695127030394, 18763.368596418153, 21378.78217409413, 24169.935860058307, 27136.829654310695, 30279.463556851297, 33597.83756768013, 37091.95168679716, 40761.805914202414, 44607.40024989586, 48628.734693877544, 52825.80924614743, 57198.623906705536, 61747.178675551855, 66471.4735526864], [40592.0, 36933.747605164506, 33451.23531861725, 30144.46314035818, 27013.431070387345, 24058.1391087047, 21278.58725531029, 18674.775510204083, 16246.703873386095, 13994.372344856312, 11917.78092461474, 10016.929612661395, 8291.818408996252, 6742.447313619328, 5368.816326530612, 4170.925447730115, 3148.7746772178266, 2302.3640149937523, 1631.6934610578935, 1136.763015410246, 817.5726780508128, 674.1224489795919, 706.4123281965843, 914.4423157017907, 1298.21241149521, 1857.7226155768435, 2592.9729279466856, 3503.963348604745, 4590.693877551019, 5853.164514785505, 7291.375260308199, 8905.32611411911, 10695.017076218239, 12660.448146605577, 14801.619325281134, 17118.530612244882, 19611.182007496867, 22279.573511037066, 25123.705122865467, 28143.576842982075, 31339.188671386906, 34710.54060807996, 38257.63265306121, 41980.464806330696, 45879.03706788835, 49953.34943773426, 54203.40191586838, 58629.1945022907, 63230.72719700124, 68008.0]]}],                        {\"autosize\": false, \"height\": 500, \"margin\": {\"b\": 65, \"l\": 65, \"r\": 50, \"t\": 90}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"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\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"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\": [[0.0, \"#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\"], [1.0, \"#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\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#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\"], [1.0, \"#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\": \"Loss function\"}, \"width\": 500},                        {\"responsive\": true}                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('e15ef3cb-811f-48b8-b89c-6fb6038eddb7');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
       "}}\n",
       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
       "}}\n",
       "\n",
       "                        })                };                });            </script>        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cs = 'algae'\n",
    "fig = go.Figure(data=[go.Surface(z=Js, x=W, y=W0,\n",
    "                                 contours = {\"x\": {\"show\": True},\n",
    "                                             \"y\": {\"show\": True}\n",
    "                                            },\n",
    "                                 showscale=False,\n",
    "                                 colorscale=cs\n",
    "                                )])\n",
    "fig.update_traces(contours_x=dict(show=True, usecolormap=True,project_x=True))\n",
    "fig.update_traces(contours_y=dict(show=True, usecolormap=True,project_y=True))\n",
    "fig.update_traces(contours_z=dict(show=True, usecolormap=True,project_z=True))\n",
    "fig.update_layout(title='Loss function', autosize=False,\n",
    "                  width=500, height=500,\n",
    "                  #scene = dict(zaxis=dict(range=[-3,3])),\n",
    "                  margin=dict(l=65, r=50, b=65, t=90))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def objfunction_l1(w,w0,X,y):\n",
    "    J = np.sum(np.abs(y - (w*X + w0)))\n",
    "    return J"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def objfunction_l0(w,w0,X,y):\n",
    "    J = len(np.where(y == (w*X + w0))[0])\n",
    "    return J"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Boston Housing Data\n",
    "\n",
    "| Num | Feature   | Description |\n",
    "| --- | --------- | ------------ | \n",
    "|1. | CRIM     |per capita crime rate by town |\n",
    "|2. |ZN        |proportion of residential land zoned for lots over 25,000 sq.ft.|\n",
    "|3. |INDUS     |proportion of non-retail business acres per town|\n",
    "|4. |CHAS      |Charles River dummy variable (= 1 if tract bounds river; 0 otherwise)|\n",
    "|5. |NOX       |nitric oxides concentration (parts per 10 million)|\n",
    "|6. |RM        |average number of rooms per dwelling|\n",
    "|7. |AGE       |proportion of owner-occupied units built prior to 1940|\n",
    "|8. |DIS       |weighted distances to five Boston employment centres|\n",
    "|9. |RAD       |index of accessibility to radial highways|\n",
    "|10. |TAX      |full-value property-tax rate per 10,000|\n",
    "|11. |PTRATIO  |pupil-teacher ratio by town|\n",
    "|12. |B        |$1000(Bk - 0.63)^2$ where Bk is the proportion of blacks by town|\n",
    "|13. |LSTAT    |\\% lower status of the population|\n",
    "|14. |MEDV     |Median value of owner-occupied homes in \\$1000's|"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>target</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1.0</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2.0</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3.0</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31   0.0  0.538  6.575  65.2  4.0900  1.0  296.0   \n",
       "1  0.02731   0.0   7.07   0.0  0.469  6.421  78.9  4.9671  2.0  242.0   \n",
       "2  0.02729   0.0   7.07   0.0  0.469  7.185  61.1  4.9671  2.0  242.0   \n",
       "3  0.03237   0.0   2.18   0.0  0.458  6.998  45.8  6.0622  3.0  222.0   \n",
       "4  0.06905   0.0   2.18   0.0  0.458  7.147  54.2  6.0622  3.0  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  target  \n",
       "0     15.3  396.90   4.98    24.0  \n",
       "1     17.8  396.90   9.14    21.6  \n",
       "2     17.8  392.83   4.03    34.7  \n",
       "3     18.7  394.63   2.94    33.4  \n",
       "4     18.7  396.90   5.33    36.2  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "boston_data = load_boston()\n",
    "df_boston = pd.DataFrame(boston_data.data,columns=boston_data.feature_names)\n",
    "df_boston['target'] = pd.Series(boston_data.target)\n",
    "df_boston.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fitting a linear regression model on Boston data set\n",
    "Which features to use?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "correlation_matrix = df_boston.corr().round(2)\n",
    "# annot = True to print the values inside the square\n",
    "fig = plt.figure(figsize=(12,12))\n",
    "ax = sns.heatmap(data=correlation_matrix, annot=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x7fbe57c31fd0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 2520x2520 with 210 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(df_boston, vars = df_boston.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generally, you might be tempted to use features that are strongly correlated with the target (correlation closer to +1 or -1), e.g., LSTAT, RM. For linear regression, that might be the case, however, linear correlation is not the only indicator. You could have combinations of seemingly uncorrelated features that could yield a good prediction for the target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LinearRegression(normalize=True)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = df_boston[df_boston.columns[:-1]]\n",
    "y = df_boston['target']\n",
    "\n",
    "lmodel = LinearRegression(normalize=True)\n",
    "lmodel.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.08011358e-01,  4.64204584e-02,  2.05586264e-02,  2.68673382e+00,\n",
       "       -1.77666112e+01,  3.80986521e+00,  6.92224640e-04, -1.47556685e+00,\n",
       "        3.06049479e-01, -1.23345939e-02, -9.52747232e-01,  9.31168327e-03,\n",
       "       -5.24758378e-01])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lmodel.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(df_boston.columns[:-1],lmodel.coef_)\n",
    "plt.xticks(rotation='vertical')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "36.45948838508987"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lmodel.intercept_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Importance of intercept\n",
    "What happens if out model did not have an intercept, i.e., we are forcing the hyper-plane to go through the origin?\n",
    "\n",
    "We are going to check if having an intercept impacts the accuracy of the model. This is where we introduce the notion of training error vs. generalization error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = model_selection.train_test_split(X, y, test_size = 0.2, random_state=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE on testing data with intercept is 4.5682920423032\n"
     ]
    }
   ],
   "source": [
    "lmodel = LinearRegression()\n",
    "lmodel.fit(X_train,y_train)\n",
    "\n",
    "y_test_predicted = lmodel.predict(X_test)\n",
    "rmse = (np.sqrt(mean_squared_error(y_test, y_test_predicted)))\n",
    "print('RMSE on testing data with intercept is {}'.format(rmse))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE on testing data without intercept is 4.77039479775582\n"
     ]
    }
   ],
   "source": [
    "lmodel = LinearRegression(fit_intercept=False)\n",
    "lmodel.fit(X_train,y_train)\n",
    "\n",
    "y_test_predicted = lmodel.predict(X_test)\n",
    "rmse = (np.sqrt(mean_squared_error(y_test, y_test_predicted)))\n",
    "print('RMSE on testing data without intercept is {}'.format(rmse))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having no intercept makes the model less accurate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Numerical instability"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1  3  4  7]\n",
      " [ 1  4  2  6]\n",
      " [ 1  8 -3  5]\n",
      " [ 1  4  7 11]\n",
      " [ 1  3  2  5]]\n",
      "[5 2 3 9 7]\n"
     ]
    }
   ],
   "source": [
    "X = np.array([[1,3,4,7],[1,4,2,6],[1,8,-3,5],[1,4,7,11],[1,3,2,5]])\n",
    "print(X)\n",
    "y = np.array([5,2,3,9,7])\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$X^\\top X$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  5,  22,  12,  34],\n",
       "       [ 22, 114,  30, 144],\n",
       "       [ 12,  30,  82, 112],\n",
       "       [ 34, 144, 112, 256]])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.dot(X.transpose(),X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "ename": "LinAlgError",
     "evalue": "Singular matrix",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mLinAlgError\u001b[0m                               Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-24-d210126cda0e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlinalg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtranspose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m<__array_function__ internals>\u001b[0m in \u001b[0;36minv\u001b[0;34m(*args, **kwargs)\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.6/site-packages/numpy/linalg/linalg.py\u001b[0m in \u001b[0;36minv\u001b[0;34m(a)\u001b[0m\n\u001b[1;32m    545\u001b[0m     \u001b[0msignature\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'D->D'\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misComplexType\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;34m'd->d'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    546\u001b[0m     \u001b[0mextobj\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_linalg_error_extobj\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0m_raise_linalgerror_singular\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 547\u001b[0;31m     \u001b[0mainv\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_umath_linalg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msignature\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msignature\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mextobj\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mextobj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    548\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0mwrap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mainv\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresult_t\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcopy\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    549\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.6/site-packages/numpy/linalg/linalg.py\u001b[0m in \u001b[0;36m_raise_linalgerror_singular\u001b[0;34m(err, flag)\u001b[0m\n\u001b[1;32m     95\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     96\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_raise_linalgerror_singular\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflag\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 97\u001b[0;31m     \u001b[0;32mraise\u001b[0m \u001b[0mLinAlgError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Singular matrix\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     98\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     99\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_raise_linalgerror_nonposdef\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0merr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflag\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mLinAlgError\u001b[0m: Singular matrix"
     ]
    }
   ],
   "source": [
    "np.linalg.inv(np.dot(X.transpose(),X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above experiment shows that if your data has redundancy (repeating values), the inverse of the $X^\\top X$ matrix will be unstable. However, if you use `sklearn` LinearRegression implementation, you will still see a valid solution (See below).\n",
    "\n",
    "> Why?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 2.19433198 -0.0242915   0.3562753   0.33198381]\n"
     ]
    }
   ],
   "source": [
    "lmodel = LinearRegression(fit_intercept=False)\n",
    "lmodel.fit(X,y)\n",
    "print(lmodel.coef_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gradient Descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>Gradient descent</b>, also known as <b>steepest descent</b>, is an optimization algorithm for finding the local minimum of a function. To find a local minimum, the function \"steps\" in the  direction of the negative of the gradient. <b>Gradient ascent</b> is the same as gradient descent, except that it steps in the direction of the positive of the gradient and therefore finds local maximums instead of minimums. The algorithm of gradient descent can be outlined as follows:\n",
    "\n",
    "&nbsp;&nbsp;&nbsp; 1: &nbsp; Choose initial guess ${\\bf w}^{(0)}$ <br>\n",
    "&nbsp;&nbsp;&nbsp;    2: &nbsp; <b>for</b> k = 0, 1, 2, ... <b>do</b> <br>\n",
    "&nbsp;&nbsp;&nbsp;    3:   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; $s_k$ = -$\\nabla f({\\bf w}^{(k)})$ <br>\n",
    "&nbsp;&nbsp;&nbsp;    4:   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ${\\bf w}^{(k+1)} = {\\bf w}^{(k)} + \\eta s_k$ <br>\n",
    "&nbsp;&nbsp;&nbsp;    5: &nbsp;  <b>end for</b>\n",
    "\n",
    "As a simple example, let's find a local minimum for the function $f(x) = x^3-2x^2+2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x):\n",
    "    return x**3-2*x**2+2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f_prime(x):\n",
    "    return 3*x**2-4*x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-1,2.5,1000)\n",
    "plt.plot(x,f(x))\n",
    "plt.xlim([-1,2.5])\n",
    "plt.ylim([0,3])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_old = 0\n",
    "x_new = 2 # The algorithm starts at x=2\n",
    "n_k = 0.1 # step size\n",
    "precision = 0.0001\n",
    "\n",
    "x_list, y_list = [x_new], [f(x_new)]\n",
    "while abs(x_new - x_old) > precision:\n",
    "    x_old = x_new\n",
    "    s_k = -f_prime(x_old)\n",
    "    x_new = x_old + n_k * s_k\n",
    "    x_list.append(x_new)\n",
    "    y_list.append(f(x_new))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Gradient descent')"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[10,6])\n",
    "plt.scatter(x_list,y_list,c=\"r\")\n",
    "plt.plot(x_list,y_list,c=\"r\")\n",
    "plt.plot(x,f(x), c=\"b\")\n",
    "plt.annotate(xy=(x_list[0],f(x_list[0])),\n",
    "             xytext=(x_list[0]+1,f(x_list[0])+1),\n",
    "             text='start',\n",
    "             arrowprops=dict(facecolor='green', shrink=0.05))\n",
    "plt.annotate(xy=(x_list[-1],f(x_list[-1])),\n",
    "             xytext=(x_list[-1]-1,f(x_list[-1])),\n",
    "             text='end',\n",
    "             arrowprops=dict(facecolor='red', shrink=0.05),)\n",
    "plt.xlim([-1,2.5])\n",
    "plt.ylim([0,3])\n",
    "plt.title(\"Gradient descent\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider another function:\n",
    "$$\n",
    "f(x,y) = 5\\cos(x - 2) + 5\\sin(x - 2y)\n",
    "$$\n",
    "The derivative of this function will be:\n",
    "$$\n",
    "\\nabla f = \\left[\\begin{array}{c}-5\\sin(x-2) + 5\\cos(x - 2y) \\\\ -10\\cos(x-2y) \\end{array}\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f2(x,y):\n",
    "    return 5*np.cos(x -2) + 5*np.sin(x - 2*y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f2_prime(x,y):\n",
    "    return np.array([-5*np.sin(x -2) + 5*np.cos(x - 2*y),-10*np.cos(x-2*y)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(-2, 2, 100)\n",
    "y = np.linspace(-2, 2, 100)\n",
    "\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = f2(X, Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "colorscale": [
          [
           0,
           "rgb(214, 249, 207)"
          ],
          [
           0.09090909090909091,
           "rgb(186, 228, 174)"
          ],
          [
           0.18181818181818182,
           "rgb(156, 209, 143)"
          ],
          [
           0.2727272727272727,
           "rgb(124, 191, 115)"
          ],
          [
           0.36363636363636365,
           "rgb(85, 174, 91)"
          ],
          [
           0.45454545454545453,
           "rgb(37, 157, 81)"
          ],
          [
           0.5454545454545454,
           "rgb(7, 138, 78)"
          ],
          [
           0.6363636363636364,
           "rgb(13, 117, 71)"
          ],
          [
           0.7272727272727273,
           "rgb(23, 95, 61)"
          ],
          [
           0.8181818181818182,
           "rgb(25, 75, 49)"
          ],
          [
           0.9090909090909091,
           "rgb(23, 55, 35)"
          ],
          [
           1,
           "rgb(17, 36, 20)"
          ]
         ],
         "contours": {
          "x": {
           "show": true
          },
          "y": {
           "show": true
          }
         },
         "showscale": false,
         "type": "surface",
         "x": [
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ]
         ],
         "y": [
          [
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2
          ],
          [
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596
          ],
          [
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191
          ],
          [
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879
          ],
          [
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385
          ],
          [
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798
          ],
          [
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576
          ],
          [
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171
          ],
          [
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767
          ],
          [
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362
          ],
          [
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596
          ],
          [
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556
          ],
          [
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151
          ],
          [
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747
          ],
          [
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343
          ],
          [
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394
          ],
          [
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534
          ],
          [
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131
          ],
          [
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727
          ],
          [
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323
          ],
          [
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918
          ],
          [
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514
          ],
          [
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112
          ],
          [
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705
          ],
          [
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303
          ],
          [
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898
          ],
          [
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494
          ],
          [
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909
          ],
          [
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685
          ],
          [
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283
          ],
          [
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878
          ],
          [
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474
          ],
          [
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707
          ],
          [
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665
          ],
          [
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261
          ],
          [
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856
          ],
          [
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454
          ],
          [
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505
          ],
          [
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453
          ],
          [
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241
          ],
          [
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365
          ],
          [
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432
          ],
          [
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303
          ],
          [
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254
          ],
          [
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221
          ],
          [
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166
          ],
          [
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121
          ],
          [
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077
          ],
          [
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055
          ],
          [
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011
          ],
          [
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332
          ],
          [
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996
          ],
          [
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122
          ],
          [
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144
          ],
          [
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821
          ],
          [
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232
          ],
          [
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263
          ],
          [
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032
          ],
          [
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434
          ],
          [
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841
          ],
          [
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243
          ],
          [
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465
          ],
          [
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052
          ],
          [
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459
          ],
          [
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861
          ],
          [
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263
          ],
          [
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667
          ],
          [
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072
          ],
          [
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478
          ],
          [
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881
          ],
          [
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287
          ],
          [
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869
          ],
          [
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092
          ],
          [
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498
          ],
          [
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901
          ],
          [
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307
          ],
          [
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071
          ],
          [
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112
          ],
          [
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518
          ],
          [
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192
          ],
          [
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327
          ],
          [
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273
          ],
          [
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136
          ],
          [
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538
          ],
          [
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394
          ],
          [
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347
          ],
          [
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475
          ],
          [
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156
          ],
          [
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558
          ],
          [
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965
          ],
          [
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367
          ],
          [
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677
          ],
          [
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176
          ],
          [
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578
          ],
          [
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985
          ],
          [
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387
          ],
          [
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879
          ],
          [
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196
          ],
          [
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598
          ],
          [
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2
          ]
         ],
         "z": [
          [
           1.2782690298103492,
           1.0403307992322688,
           0.8006944737173178,
           0.5597512031106624,
           0.3178942705374328,
           0.07551845046067385,
           -0.16698063569497235,
           -0.4092071653020328,
           -0.6507657606173796,
           -0.8912621341432607,
           -1.130303732208744,
           -1.36750037572111,
           -1.6024648970412811,
           -1.8348137719438,
           -2.0641677456297605,
           -2.290152451770913,
           -2.512399023574513,
           -2.730544695871444,
           -2.944233397244906,
           -3.153116331233097,
           -3.356852545657283,
           -3.555109489145895,
           -3.747563553946294,
           -3.9339006041381968,
           -4.113816488386546,
           -4.287017536396926,
           -4.453221038263113,
           -4.612155705924409,
           -4.763562115979482,
           -4.907193133133944,
           -5.042814313590509,
           -5.1702042877232515,
           -5.2891551214113655,
           -5.399472655442634,
           -5.500976822432602,
           -5.593501940742157,
           -5.6768969849137685,
           -5.751025832184972,
           -5.8157674846767105,
           -5.871016266893856,
           -5.916681998215575,
           -5.95269014009393,
           -5.97898191772051,
           -5.995514415962456,
           -6.002260649411296,
           -5.9992096064302824,
           -5.986366267128281,
           -5.963751595230923,
           -5.9314025038622615,
           -5.889371795292791,
           -5.837728074752187,
           -5.7765556384474115,
           -5.705954335969051,
           -5.626039407310344,
           -5.536941294765061,
           -5.438805430011201,
           -5.331791996728016,
           -5.2160756691339065,
           -5.091845326871917,
           -4.959303746708199,
           -4.8186672715467305,
           -4.670165457300484,
           -4.514040698195482,
           -4.350547831119332,
           -4.179953719660043,
           -4.0025368185140815,
           -3.818586718974693,
           -3.6284036762423395,
           -3.432298119328808,
           -3.230590144355004,
           -3.0236089920694265,
           -2.8116925104402313,
           -2.595186603197998,
           -2.374444665229392,
           -2.149827005743276,
           -1.9217002601507902,
           -1.6904367916194492,
           -1.4564140832779677,
           -1.220014122063998,
           -0.9816227752204614,
           -0.7416291604581455,
           -0.500425010812751,
           -0.25840403523297883,
           -0.015961275943426223,
           0.22650753636876608,
           0.46860662849103774,
           0.7099408306919379,
           0.9501162217426078,
           1.188740771900382,
           1.425424982805004,
           1.6597825232428942,
           1.8914308597418907,
           2.1199918809669978,
           2.3450925148980315,
           2.5663653377818605,
           2.7834491738650735,
           2.9959896849283196,
           3.203639948659988,
           3.4060610249251275,
           3.6029225090053707
          ],
          [
           1.4313901528325963,
           1.2084251911950812,
           0.9834877601273888,
           0.7569450169924328,
           0.5291667394468882,
           0.3005247218662692,
           0.07139216847820862,
           -0.15785691580552008,
           -0.3868483358639083,
           -0.6152083171520975,
           -0.8425641158002541,
           -1.0685446270301306,
           -1.2927809908961843,
           -1.5149071943625385,
           -1.7345606687330286,
           -1.9513828814591916,
           -2.165019921360178,
           -2.3751230762993707,
           -2.581349402374806,
           -2.7833622836942933,
           -2.9808319818215505,
           -3.173436173996524,
           -3.3608604792513592,
           -3.542798971563263,
           -3.718954679206656,
           -3.8890400694895613,
           -4.052777518082981,
           -4.2098997621772,
           -4.360150336725362,
           -4.50328399306225,
           -4.639067099214935,
           -4.767278021251935,
           -4.887707485048403,
           -5.000158917876829,
           -5.104448769265693,
           -5.200406810602379,
           -5.287876412991292,
           -5.366714802913603,
           -5.436793295271401,
           -5.497997503435794,
           -5.5502275259561396,
           -5.593398109625603,
           -5.627438788636956,
           -5.652293999601408,
           -5.667923172242727,
           -5.674300795618668,
           -5.671416459761586,
           -5.659274872670248,
           -5.637895852625123,
           -5.607314295839721,
           -5.5675801195007555,
           -5.518758180290066,
           -5.460928168521395,
           -5.394184478064702,
           -5.318636052270431,
           -5.234406206145142,
           -5.141632425068808,
           -5.040466140382351,
           -4.931072482211625,
           -4.8136300099313925,
           -4.6883304207092396,
           -4.555378236605072,
           -4.414990470737067,
           -4.267396273058869,
           -4.112836556326281,
           -3.9515636028639456,
           -3.783840652773888,
           -3.6099414742580653,
           -3.4301499167562706,
           -3.244759447628806,
           -3.0540726731401384,
           -2.858400844525481,
           -2.6580633499464685,
           -2.4533871931652316,
           -2.2447064597877993,
           -2.032361771948044,
           -1.816699732322311,
           -1.5980723583821885,
           -1.3768365078089273,
           -1.153353296007356,
           -0.9279875066700352,
           -0.7011069963538508,
           -0.473082094040814,
           -0.24428499666327674,
           -0.015089161580106314,
           0.21413130300447314,
           0.44300224868436544,
           0.6711500975607492,
           0.8982024520199818,
           1.1237887025849638,
           1.3475406328477977,
           1.569093020496342,
           1.7880842334535716,
           2.004156820156748,
           2.2169580930129094,
           2.42614070407823,
           2.631363212021753,
           2.832290639447902,
           3.0285950196681415,
           3.2199559320293685
          ],
          [
           1.553839783788327,
           1.3463231111174334,
           1.136608883149636,
           0.9250394089552452,
           0.7119600258569583,
           0.4977185357480396,
           0.282664637387664,
           0.06714935560007529,
           -0.14847553169072736,
           -0.3638580676555847,
           -0.5786466910467838,
           -0.7924908100389692,
           -1.0050413744876945,
           -1.2159514456715592,
           -1.4248767625879317,
           -1.6314763038779283,
           -1.835412844463446,
           -2.036353505987649,
           -2.233970300160473,
           -2.42794066412222,
           -2.6179479869514504,
           -2.80368212645772,
           -2.9848399154156247,
           -3.161125656413892,
           -3.332251604511721,
           -3.4979384369146294,
           -3.6579157089030905,
           -3.8119222952698344,
           -3.9597068165452303,
           -4.101028049315038,
           -4.235655319960813,
           -4.36336888118024,
           -4.483960270672829,
           -4.597232651405512,
           -4.70300113290273,
           -4.801093073036574,
           -4.891348359824379,
           -4.9736196727738236,
           -5.047772723348924,
           -5.1136864741644255,
           -5.17125333655083,
           -5.220379346167542,
           -5.260984316377522,
           -5.29300196913308,
           -5.316380043159172,
           -5.331080379257621,
           -5.337078982593017,
           -5.334366061858633,
           -5.32294604525843,
           -5.302837573279049,
           -5.274073468263618,
           -5.236700680836998,
           -5.190780213269964,
           -5.136387019907355,
           -5.073609884822775,
           -5.002551276899499,
           -4.9233271825741785,
           -4.836066916516292,
           -4.740912910552417,
           -4.638020481179837,
           -4.527557576048947,
           -4.4097044998282655,
           -4.284653619899576,
           -4.152609052363457,
           -4.013786328867864,
           -3.868412044803482,
           -3.7167234894401258,
           -3.5589682586079294,
           -3.3954038505554656,
           -3.226297245644532,
           -3.051924470567601,
           -2.8725701477992835,
           -2.6885270310171805,
           -2.5000955272504815,
           -2.3075832065362696,
           -2.1113042998838836,
           -1.9115791863668345,
           -1.7087338701794406,
           -1.5030994485117892,
           -1.2950115711115768,
           -1.0848098924149645,
           -0.8728375171407454,
           -0.6594404402527037,
           -0.44496698220437647,
           -0.22976722038794417,
           -0.014192417715377381,
           0.20140555073549304,
           0.4166747720741846,
           0.6312638700124094,
           0.8448225784031052,
           1.0570023129673976,
           1.2674567402763053,
           1.475842343058475,
           1.6818189809111992,
           1.8850504454994832,
           2.0852050093369465,
           2.2819559672528023,
           2.4749821696610588,
           2.663968546761575,
           2.848606622817283
          ],
          [
           1.6448187682206368,
           1.4531245829320731,
           1.2590585141053667,
           1.0629373288775956,
           0.8650811488792054,
           0.6658129277108502,
           0.4654579237977341,
           0.2643431694818448,
           0.06279693721872537,
           -0.13885179624999022,
           -0.3402738868736028,
           -0.5411405605424573,
           -0.7411239497342259,
           -0.9398976286803977,
           -1.1371371461794428,
           -1.3325205551869526,
           -1.525728938318351,
           -1.7164469284063877,
           -1.904363223263743,
           -2.089171093810501,
           -2.2705688847371177,
           -2.448260506885648,
           -2.621955920545529,
           -2.7913716088750897,
           -2.9562310406759886,
           -3.11626512176526,
           -3.2712126342081573,
           -3.4208206626949025,
           -3.564845007365342,
           -3.703050582407677,
           -3.8352117997806827,
           -3.9611129374330303,
           -4.080548491418711,
           -4.193323511333819,
           -4.299253918527156,
           -4.39816680656526,
           -4.489900723461422,
           -4.57430593520802,
           -4.651244670182014,
           -4.72059134402465,
           -4.782232764628355,
           -4.836068316896173,
           -4.882010126972215,
           -4.919983205675022,
           -4.9499255708997385,
           -4.971788348789294,
           -4.985535853509465,
           -4.991145645497588,
           -4.988608568089861,
           -4.977928762467437,
           -4.9591236608969265,
           -4.932223958276325,
           -4.897273562032828,
           -4.8543295204542884,
           -4.803461929571346,
           -4.744753818742154,
           -4.6783010151265225,
           -4.6042119872706495,
           -4.522607668057788,
           -4.433621257313778,
           -4.3373980043897395,
           -4.234094971076712,
           -4.123880775239283,
           -4.006935315586652,
           -3.8834494780303754,
           -3.753624824108071,
           -3.617673261981712,
           -3.4758167005474667,
           -3.3282866872217034,
           -3.175324029994397,
           -3.017178404366796,
           -2.8541079458150094,
           -2.686378828444643,
           -2.514264830524284,
           -2.3380468876069815,
           -2.1580126339691335,
           -1.9744559331153049,
           -1.7876763981152801,
           -1.5979789025563118,
           -1.4056730829088289,
           -1.2110728331178255,
           -1.0144957922449644,
           -0.816262825997633,
           -0.6166975029912702,
           -0.41612556659983113,
           -0.2148744032564771,
           -0.013272508072342148,
           0.18835105135433405,
           0.38966717206353696,
           0.5903472529165432,
           0.7900637309598251,
           0.9884906160944467,
           1.1853040231780776,
           1.3801827006911624,
           1.5728085551043898,
           1.7628671700914014,
           1.9500483197393796,
           2.1340464749197787,
           2.3145613019926277,
           2.4912981530304434
          ],
          [
           1.7037333414907416,
           1.5281325782238229,
           1.3500374985376764,
           1.1697388006922371,
           0.9875307798349362,
           0.8037108476332024,
           0.6185790468199812,
           0.4324375614446563,
           0.24559022362879812,
           0.05834201763178015,
           -0.12900141796414832,
           -0.31613428913686104,
           -0.5027511455610432,
           -0.6885473791838859,
           -0.8732197214259734,
           -1.0564667381957893,
           -1.2379893219098603,
           -1.4174911797154102,
           -1.5946793171186444,
           -1.7692645162292369,
           -1.9409618078403876,
           -2.109490936573928,
           -2.274576818331194,
           -2.435949989303016,
           -2.5933470458058907,
           -2.7465110742264542,
           -2.895192070372423,
           -3.039147347545533,
           -3.178141932670407,
           -3.3119489498327432,
           -3.4403499906007946,
           -3.5631354705256673,
           -3.6801049712385767,
           -3.7910675675866075,
           -3.8958421392730385,
           -3.9942576664935645,
           -4.086153509085845,
           -4.171379668736706,
           -4.249797033819054,
           -4.3212776064588425,
           -4.385704711461443,
           -4.442973186756398,
           -4.492989555049736,
           -4.535672176403652,
           -4.570951381494432,
           -4.598769585331235,
           -4.619081381250028,
           -4.63185361502926,
           -4.637065439006308,
           -4.634708346106388,
           -4.6247861837283555,
           -4.607315147464711,
           -4.582323754666135,
           -4.549852797893615,
           -4.509955278334208,
           -4.462696319289086,
           -4.408153059875093,
           -4.3464145291133045,
           -4.277581500610132,
           -4.201766328068135,
           -4.11909276189511,
           -4.029695747210651,
           -3.9337212035800757,
           -3.8313257868350976,
           -3.722676633370081,
           -3.607951087331265,
           -3.487336411144221,
           -3.361029479852055,
           -3.2292364597632894,
           -3.0921724719339334,
           -2.950061241033034,
           -2.8031347301648744,
           -2.651632762243838,
           -2.4958026285400097,
           -2.335898685034444,
           -2.172181937242936,
           -2.004919614186017,
           -1.83438473220053,
           -1.660855649304783,
           -1.4846156108446684,
           -1.305952287162349,
           -1.1251573040422183,
           -0.942525766700494,
           -0.7583557780954902,
           -0.5729479523447605,
           -0.3866049240433709,
           -0.19963085428423177,
           -0.012330934186765674,
           0.17498911325570177,
           0.36202353219669003,
           0.5484670330109527,
           0.7340152906078821,
           0.9183654411705025,
           1.1012165765093038,
           1.2822702352239892,
           1.461230889871361,
           1.637806429344283,
           1.81170863567423,
           1.9826536544792015,
           2.15036245828916
          ],
          [
           1.7301990039195645,
           1.5708575653111794,
           1.4089520718077813,
           1.244746795983986,
           1.0785097642672459,
           0.9105123194478439,
           0.741028677775712,
           0.5703354813670085,
           0.39871134665104524,
           0.22643640959459166,
           0.05379186844592265,
           -0.11894047525509155,
           -0.29147867665158866,
           -0.4635411077782896,
           -0.6348469172527906,
           -0.8051164886992765,
           -0.9740718971563909,
           -1.141437362724247,
           -1.3069397007101555,
           -1.4703087675382593,
           -1.631277901695289,
           -1.7895843589926637,
           -1.9449697414344622,
           -2.0971804189912957,
           -2.245967943591556,
           -2.391089454654382,
           -2.5323080755023253,
           -2.6693933000067274,
           -2.8021213688346727,
           -2.930275634683372,
           -3.0536469159058575,
           -3.1720338379507336,
           -3.2852431620586886,
           -3.3930901006792444,
           -3.495398619092904,
           -3.5920017227463528,
           -3.6827417298317253,
           -3.7674705286650085,
           -3.846049819443477,
           -3.9183513399875283,
           -3.9842570750984834,
           -4.04365944919059,
           -4.0964615018828265,
           -4.142577046263874,
           -4.181930809571952,
           -4.2144585560598635,
           -4.2401071918447215,
           -4.2588348515712005,
           -4.270610966746872,
           -4.275416315638061,
           -4.273243054644802,
           -4.264094731103664,
           -4.247986277497564,
           -4.224943987082,
           -4.195005470967515,
           -4.158219596728412,
           -4.114646408637954,
           -4.064357029660236,
           -4.0074335453587,
           -3.94396886991079,
           -3.8740665944474535,
           -3.7978408179650085,
           -3.715415961085446,
           -3.6269265629690364,
           -3.5325170617108737,
           -3.4323415585797097,
           -3.3265635664839266,
           -3.2153557430752486,
           -3.0988996089257985,
           -2.9773852512385215,
           -2.85101101357462,
           -2.7199831721044108,
           -2.584515598910076,
           -2.4448294128898747,
           -2.301152618833639,
           -2.1537197352586617,
           -2.0027714116134794,
           -1.8485540354743324,
           -1.691319330375495,
           -1.5313239449299183,
           -1.3688290339108202,
           -1.2040998319780578,
           -1.0374052207450175,
           -0.869017289892744,
           -0.6992108930476224,
           -0.5282631991475908,
           -0.3564532400291611,
           -0.18406145497365944,
           -0.011369232956187858,
           0.1613415466555903,
           0.3337889742031175,
           0.5056915698880315,
           0.67676874322163,
           0.8467412510227392,
           1.015331653216414,
           1.1822647656895025,
           1.347268109463883,
           1.5100723554541897,
           1.670411764084105,
           1.8280246190436111
          ],
          [
           1.7240430301838878,
           1.5810207041226345,
           1.4354177342366041,
           1.2874717830713425,
           1.1374243375373507,
           0.9855203147395928,
           0.8320076622080217,
           0.67713695318165,
           0.521160977606776,
           0.3643343295169439,
           0.20691299146816977,
           0.049153916707720846,
           -0.10868539024151769,
           -0.2663472938965201,
           -0.42357444834333613,
           -0.5801102172936812,
           -0.7356990929832081,
           -0.8900871132277342,
           -1.0430222759566843,
           -1.194254950547096,
           -1.3435382852868,
           -1.4906286103016861,
           -1.6352858352893653,
           -1.7772738414100315,
           -1.916360866694824,
           -2.0523198843426593,
           -2.1849289732879904,
           -2.3139716804346553,
           -2.4392373739645747,
           -2.560521587144568,
           -2.677626352070125,
           -2.7903605228013624,
           -2.8985400873637515,
           -3.0019884681043107,
           -3.1005368099130157,
           -3.1940242558389897,
           -3.282298209651593,
           -3.365214584917799,
           -3.4426380401893577,
           -3.5144421999158313,
           -3.5805098607229064,
           -3.6407331827192757,
           -3.695013865519864,
           -3.7432633086980687,
           -3.785402756405042,
           -3.821363425920086,
           -3.8510866199222415,
           -3.874523822299829,
           -3.891636777341563,
           -3.9023975521799996,
           -3.9067885823853667,
           -3.9048027006353356,
           -3.8964431484140105,
           -3.881723570720953,
           -3.860667993798944,
           -3.8333107859167974,
           -3.799696601271262,
           -3.7598803070995626,
           -3.713926894121562,
           -3.661911370457722,
           -3.6039186391960225,
           -3.540043359807663,
           -3.47038979363779,
           -3.395071633723394,
           -3.314211819216244,
           -3.22794233471365,
           -3.136403994824719,
           -3.0397462143236935,
           -2.9381267642655042,
           -2.8317115144617153,
           -2.720674162737129,
           -2.605195951408999,
           -2.48546537145166,
           -2.361677854829411,
           -2.234035455499877,
           -2.1027465196085267,
           -1.9680253454126744,
           -1.8300918334900582,
           -1.6891711278029575,
           -1.5454932482037207,
           -1.3992927149815322,
           -1.2508081660633077,
           -1.1002819674934887,
           -0.9479598178285835,
           -0.7940903470921459,
           -0.6389247109448446,
           -0.48271618073202305,
           -0.32571973007787935,
           -0.1681916187011172,
           -0.010388974131303463,
           0.14743062799122786,
           0.3050095843469318,
           0.46209068441379486,
           0.6184175303028887,
           0.7737349552675417,
           0.9277894402029379,
           1.0803295274563105,
           1.231106231272331,
           1.3798734442037048,
           1.5263883388235744
          ],
          [
           1.6853055965897483,
           1.5585556660166562,
           1.4292617605009275,
           1.2976349218827976,
           1.1638899999661736,
           1.0282453018269493,
           0.8909222354781265,
           0.7521449484733989,
           0.6121399620390857,
           0.4711358013315854,
           0.3293626224239006,
           0.18705183663007308,
           0.04443573278072943,
           -0.09825290193370773,
           -0.24078116193326515,
           -0.3829164034119108,
           -0.5244266240737536,
           -0.6650808418221388,
           -0.8046494717835033,
           -0.9429047010505833,
           -1.0796208605333288,
           -1.2145747933105229,
           -1.3475462188808756,
           -1.478318092719054,
           -1.606676960549727,
           -1.7324133067613978,
           -1.8553218963912586,
           -1.9752021101229325,
           -2.09185827175024,
           -2.2050999675724947,
           -2.314742357200025,
           -2.4206064752625585,
           -2.522519523528019,
           -2.6203151529549396,
           -2.7138337352180786,
           -2.802922623264056,
           -2.8874364004717026,
           -2.967237118010434,
           -3.0421945200092253,
           -3.1121862561686218,
           -3.1770980814687872,
           -3.2368240426475787,
           -3.2912666511442894,
           -3.3403370422267518,
           -3.3839551200420805,
           -3.422049688354281,
           -3.454558566755332,
           -3.4814286921600517,
           -3.502616205419086,
           -3.5180865229086304,
           -3.5278143929800576,
           -3.531783937177276,
           -3.529988676154575,
           -3.522431540252625,
           -3.5091248647153908,
           -3.490090369555751,
           -3.46535912410269,
           -3.434971496287948,
           -3.3989770867548694,
           -3.357434647897048,
           -3.310411987958884,
           -3.2579858603545953,
           -3.200241838386359,
           -3.1372741755660485,
           -3.069185651768588,
           -2.996087405468008,
           -2.9180987523300894,
           -2.835346990457634,
           -2.7479671926062967,
           -2.65610198571016,
           -2.5599013180768346,
           -2.4595222146321927,
           -2.355128520614169,
           -2.246890634133999,
           -2.134985228041461,
           -2.019594961548063,
           -1.9009081820789122,
           -1.7791186178399223,
           -1.6544250616021525,
           -1.5270310462194465,
           -1.3971445124089947,
           -1.26497746933711,
           -1.1307456485642007,
           -0.9946681519138334,
           -0.8569670938406162,
           -0.7178672388806842,
           -0.5775956347765465,
           -0.43638124187513316,
           -0.29445455940397913,
           -0.15204724923552337,
           -0.00939175775370149,
           0.13327906356003716,
           0.27573233820190524,
           0.417735544761789,
           0.5590568964597065,
           0.6994657194830873,
           0.8387328295074381,
           0.9766309057857665,
           1.1129348621961324,
           1.2474222146417158
          ],
          [
           1.614239518866062,
           1.5036090666684947,
           1.390524326906788,
           1.2751698837768184,
           1.157734026230497,
           1.0384084406384044,
           0.9173878979069494,
           0.7948699355607554,
           0.6710545353091906,
           0.5461437966233342,
           0.42034160685621114,
           0.2938533084447137,
           0.16688536373646023,
           0.039645017988644504,
           -0.08766003891101803,
           -0.2148220114490984,
           -0.34163333766368265,
           -0.4678870279403684,
           -0.5933770028740479,
           -0.717898429644988,
           -0.8412480563601479,
           -0.9632245438140101,
           -1.0836287941274052,
           -1.2022642757278907,
           -1.3189373441412373,
           -1.4334575580704185,
           -1.5456379902461617,
           -1.655295532541671,
           -1.762251194853508,
           -1.8663303972607732,
           -1.9673632549856923,
           -2.065184855690485,
           -2.159635528657919,
           -2.2505611054161356,
           -2.3378131713823462,
           -2.421249308114685,
           -2.5007333257767677,
           -2.5761354854355023,
           -2.647332710829335,
           -2.7142087892612565,
           -2.776654561288655,
           -2.834568098900369,
           -2.887854871890168,
           -2.936427902155057,
           -2.9802079056665054,
           -3.019123421882964,
           -3.0531109303923696,
           -3.0821149545942466,
           -3.106088152252174,
           -3.124991392768851,
           -3.1387938210575803,
           -3.147472907905905,
           -3.1510144867492658,
           -3.1494127767945646,
           -3.1426703924559556,
           -3.1307983390874226,
           -3.113815995019138,
           -3.091751079926901,
           -3.0646396095862984,
           -3.0325258370854336,
           -2.9954621805921913,
           -2.953509137793921,
           -2.9067351871492204,
           -2.8552166761129807,
           -2.799037696517157,
           -2.738289947310661,
           -2.6730725848824335,
           -2.6034920612119916,
           -2.529661950111667,
           -2.4517027618441007,
           -2.369741746417627,
           -2.2839126858806376,
           -2.1943556759538767,
           -2.101216897357193,
           -2.0046483772039703,
           -1.9048077408526511,
           -1.8018579546204965,
           -1.6959670597794587,
           -1.5873078982683904,
           -1.4760578305693106,
           -1.3623984462081897,
           -1.246515267352836,
           -1.1285974459916632,
           -1.0088374551876358,
           -0.8874307749113282,
           -0.764575572965934,
           -0.6404723815250168,
           -0.5153237698109727,
           -0.3893340134485026,
           -0.2627087610327772,
           -0.13565469845656342,
           -0.00837921154418364,
           0.11890995245697589,
           0.24600502397489432,
           0.37269855024781684,
           0.4987837339419876,
           0.6240547706996002,
           0.748307185065916,
           0.87133816424726,
           0.9929468891551485
          ],
          [
           1.511308602189739,
           1.4165395091986204,
           1.3194582491831017,
           1.2202232844286578,
           1.1189965926363574,
           1.0159434025324252,
           0.9112319241712727,
           0.8050330743722105,
           0.6975201977380134,
           0.5888687837106907,
           0.4792561801263151,
           0.36886130373646253,
           0.2578643481687708,
           0.14644648980328512,
           0.03478959204471277,
           -0.07692409152674706,
           -0.18851221464143553,
           -0.299792635977556,
           -0.41058371646397784,
           -0.5207046157632176,
           -0.6299755874506925,
           -0.7382182724084148,
           -0.8452559899542225,
           -0.950914026231378,
           -1.055019919387767,
           -1.157403741079257,
           -1.257898373837672,
           -1.3563397838506916,
           -1.4525672887084111,
           -1.54642381967951,
           -1.6377561780889591,
           -1.7264152853787635,
           -1.8122564264435863,
           -1.8951394858440622,
           -1.974929176512246,
           -2.051495260575881,
           -2.124712761941033,
           -2.194462170286129,
           -2.2606296361344,
           -2.3231071566863255,
           -2.3817927521087645,
           -2.4365906319930044,
           -2.487411351710038,
           -2.5341719584078453,
           -2.576796126412384,
           -2.6152142818112694,
           -2.649363716016795,
           -2.6791886881229297,
           -2.7046405158892144,
           -2.725677655203048,
           -2.742265767890668,
           -2.754377777766128,
           -2.7619939148267885,
           -2.7651017475231936,
           -2.763696203050646,
           -2.757779575629362,
           -2.747361522759702,
           -2.7324590494585728,
           -2.713096480502745,
           -2.6893054207243865,
           -2.6611247034236203,
           -2.6286003269823066,
           -2.591785379782528,
           -2.5507399535523065,
           -2.5055310452800184,
           -2.4562324478575928,
           -2.402924629631003,
           -2.345694603054645,
           -2.284635782664011,
           -2.2198478325984583,
           -2.1514365039229975,
           -2.079513462014578,
           -2.004196104294669,
           -1.9256073686056379,
           -1.8438755325436778,
           -1.759134004075845,
           -1.6715211037830056,
           -1.5811798390840477,
           -1.4882576708099746,
           -1.392906272508847,
           -1.2952812828744276,
           -1.1955420517027,
           -1.0938513797908582,
           -0.9903752532033616,
           -0.8852825723387907,
           -0.7787448762397364,
           -0.6709360625957288,
           -0.5620321038962226,
           -0.4522107601969729,
           -0.34165128896861674,
           -0.2305341525010869,
           -0.11904072334143567,
           -0.0073529882458860385,
           0.10434674887067352,
           0.2158761645028875,
           0.32705321315509295,
           0.4376964244877115,
           0.5476251995248163,
           0.6566601054394221,
           0.764623168435298
          ],
          [
           1.3771846142106523,
           1.2979152437876955,
           1.2165273325067796,
           1.1331537269587835,
           1.047930514912672,
           0.9609968031842646,
           0.8724944905771332,
           0.7825680362662322,
           0.6913642240023377,
           0.5990319225221459,
           0.505721842555138,
           0.41158629082381903,
           0.31677892143887476,
           0.22145448509503396,
           0.12576857647702244,
           0.02987738028789355,
           -0.06606258368570472,
           -0.16189471605520556,
           -0.2574625934417307,
           -0.35261022380040696,
           -0.4471823010406224,
           -0.5410244585266453,
           -0.6339835210447697,
           -0.7259077548257835,
           -0.816647115214586,
           -0.9060534915827452,
           -0.9939809490842033,
           -1.0802859668595302,
           -1.1648276722999222,
           -1.2474680709885342,
           -1.3280722719438636,
           -1.406508707797502,
           -1.4826493495468562,
           -1.5563699155323434,
           -1.6275500742979134,
           -1.6960736410038089,
           -1.7618287670709374,
           -1.8247081227473272,
           -1.8846090722986677,
           -1.9414338415369556,
           -1.9950896774138316,
           -2.0454889994180725,
           -2.0925495425301497,
           -2.1361944915004845,
           -2.176352606232254,
           -2.21295833806406,
           -2.245951936762678,
           -2.275279548051237,
           -2.3008933015136392,
           -2.3227513887317333,
           -2.340818131527711,
           -2.3550640402003244,
           -2.365465861659879,
           -2.3720066173834184,
           -2.374675631128171,
           -2.3734685463579934,
           -2.368387333354395,
           -2.359440286000515,
           -2.3466420082433115,
           -2.33001339025606,
           -2.309581574340069,
           -2.2853799106212613,
           -2.2574479026139582,
           -2.225831142740694,
           -2.1905812379133276,
           -2.151755725296921,
           -2.109417978393866,
           -2.0636371036015784,
           -2.0144878274125815,
           -1.9620503744411129,
           -1.9064103364753415,
           -1.8476585327689357,
           -1.7858908618000395,
           -1.7212081447395784,
           -1.6537159608844703,
           -1.5835244753242916,
           -1.510748259122713,
           -1.4355061023072415,
           -1.3579208199724855,
           -1.278119051813436,
           -1.1962310554160136,
           -1.1123904936422373,
           -1.026734216457096,
           -0.9394020375532266,
           -0.8505365061379857,
           -0.7602826742554623,
           -0.6687878600231913,
           -0.576201407170025,
           -0.4826744412676849,
           -0.3883596230538666,
           -0.2934108992495572,
           -0.19798325127727523,
           -0.10223244229040862,
           -0.00631476292657851,
           0.08961322380002645,
           0.18539493805087393,
           0.28087403874278394,
           0.3758946787379225,
           0.47030175922753514,
           0.5639411828942009
          ],
          [
           1.212742900831722,
           1.1485104590523791,
           1.082403344527692,
           1.0145294615478577,
           0.9449995982363482,
           0.8739272457143903,
           0.8014284128534479,
           0.7276214369180707,
           0.6526267904081973,
           0.5765668844161675,
           0.4995658688194613,
           0.4217494296352742,
           0.34324458386769763,
           0.26417947218239046,
           0.1846831497471273,
           0.10488537557964239,
           0.02491640074660495,
           -0.055093244240564054,
           -0.13501296248599992,
           -0.21471230387805473,
           -0.2940611780183753,
           -0.37293006656383376,
           -0.45119023463469876,
           -0.5287139409440131,
           -0.6053746463051315,
           -0.6810472201771489,
           -0.7556081449110206,
           -0.8289357173630183,
           -0.9009102475464528,
           -0.9714142539973709,
           -1.0403326555353747,
           -1.1075529591065245,
           -1.1729654434017576,
           -1.2364633379510792,
           -1.2979429974011834,
           -1.3573040706920887,
           -1.4144496648566025,
           -1.469286503175255,
           -1.5217250774285698,
           -1.57167979399815,
           -1.6190691135780972,
           -1.663815684268703,
           -1.7058464678352125,
           -1.745092858925551,
           -1.7814907970523657,
           -1.814980871156697,
           -1.8455084165825433,
           -1.8730236043040254,
           -1.89748152225952,
           -1.9188422486600363,
           -1.9370709171521339,
           -1.9521377737290078,
           -1.964018225296919,
           -1.972692879817613,
           -1.9781475779612592,
           -1.980373416218216,
           -1.9793667614319177,
           -1.9751292567291436,
           -1.9676678188380023,
           -1.9569946267980007,
           -1.9431271020806333,
           -1.926087880152933,
           -1.9059047735304055,
           -1.8826107263796468,
           -1.8562437607447562,
           -1.8268469144853061,
           -1.7944681710271733,
           -1.7591603810409042,
           -1.7209811761754432,
           -1.679992874988045,
           -1.6362623812239119,
           -1.5898610746115902,
           -1.5408646943523836,
           -1.489353215493936,
           -1.4354107183898406,
           -1.3791252514582304,
           -1.3205886874635056,
           -1.2598965735556864,
           -1.1971479753121912,
           -1.1324453150366298,
           -1.0658942045785227,
           -0.9976032729468254,
           -0.9276839889986821,
           -0.856250479492763,
           -0.7834193428042235,
           -0.7093094586053272,
           -0.6340417938223863,
           -0.5577392051857508,
           -0.48052623869514743,
           -0.402528926327669,
           -0.32387458032026917,
           -0.2446915853625251,
           -0.16510918903887983,
           -0.08525729086241807,
           -0.005266230244497017,
           0.07473342625362012,
           0.154611098039922,
           0.23423640363370257,
           0.3134793734826058,
           0.39221066210730626
          ],
          [
           1.019056673357238,
           0.9693002293858912,
           0.9179616311487617,
           0.8651246768125422,
           0.8108756102572614,
           0.7553029803034645,
           0.698497496177124,
           0.6405518794481964,
           0.5815607126845119,
           0.5216202850680061,
           0.4608284352253218,
           0.39928439152929585,
           0.33708861013202096,
           0.2743426109938456,
           0.21114881217595016,
           0.1476103626669989,
           0.0838309740167098,
           0.019914751051184787,
           -0.04403397805369025,
           -0.10791083206341323,
           -0.17161154706264448,
           -0.23503214664148153,
           -0.29806911161245164,
           -0.36061954898120163,
           -0.4225813598950605,
           -0.48385340629537943,
           -0.5443356760015661,
           -0.603929445957422,
           -0.66253744337327,
           -0.7200640045008582,
           -0.7764152307819034,
           -0.8314991421153612,
           -0.8852258269932687,
           -0.9375075892601017,
           -0.9882590912560847,
           -1.0373974931108245,
           -1.0848425879598707,
           -1.1305169328635323,
           -1.174345975214235,
           -1.2162581744260779,
           -1.2561851187079993,
           -1.2940616367298974,
           -1.3298259039994802,
           -1.3634195437761796,
           -1.3947877223574285,
           -1.4238792385817634,
           -1.4506466074026552,
           -1.4750461373966626,
           -1.4970380020793876,
           -1.5165863049128268,
           -1.5336591378980144,
           -1.548228633657313,
           -1.560271010921342,
           -1.5697666133462962,
           -1.5766999415982994,
           -1.5810596786524107,
           -1.582838708265006,
           -1.5820341265893663,
           -1.578647246915525,
           -1.5726835975266296,
           -1.5641529126753242,
           -1.5530691166948736,
           -1.53945030127097,
           -1.5233186959113185,
           -1.5047006316612035,
           -1.483626498124259,
           -1.4601306938586018,
           -1.4342515702292897,
           -1.4060313688087507,
           -1.375516152427371,
           -1.3427557299867736,
           -1.3078035751585224,
           -1.2707167391009526,
           -1.2315557573365905,
           -1.1903845509421846,
           -1.147270322212588,
           -1.1022834449688759,
           -1.055497349689627,
           -1.0069884036529837,
           -0.9568357862850747,
           -0.9051213599182284,
           -0.8519295361700192,
           -0.7973471381611912,
           -0.7414632587973511,
           -0.6843691153458078,
           -0.6261579005448636,
           -0.5669246304886242,
           -0.5067659895356158,
           -0.44578017249434243,
           -0.38406672434339484,
           -0.3217263777477317,
           -0.2588608886363275,
           -0.1955728701095918,
           -0.13196562494766795,
           -0.06814297699296823,
           -0.0042091016822194405,
           0.05973164399539854,
           0.12357489183644876,
           0.18721643277974387,
           0.25055238700308546
          ],
          [
           0.7973900042937418,
           0.7614541512389765,
           0.7242754036742776,
           0.6859144471460534,
           0.6464338968783303,
           0.6058981955681491,
           0.5643735081980372,
           0.5219276140372706,
           0.478629796008188,
           0.43455072759813174,
           0.38976235750163557,
           0.34433779218113436,
           0.29835117653788146,
           0.2518775728878673,
           0.2049928384402735,
           0.15777350147845404,
           0.11029663644553267,
           0.06263973813854129,
           0.014880595216414605,
           -0.03290283677166439,
           -0.0806325626303348,
           -0.12823067482684003,
           -0.17561948065672084,
           -0.2227216290588494,
           -0.2694602368728134,
           -0.31575901433256703,
           -0.3615423895914951,
           -0.40673563207565255,
           -0.4512649744638155,
           -0.4950577330952628,
           -0.5380424266087225,
           -0.5801488926188485,
           -0.6213084022397974,
           -0.6614537722689384,
           -0.7005194748475958,
           -0.738441744419847,
           -0.7751586818147738,
           -0.8106103552822708,
           -0.844738898317503,
           -0.877488604114355,
           -0.9088060164936644,
           -0.9386400171578253,
           -0.96694190912938,
           -0.9936654962373757,
           -1.0187671585216962,
           -1.042205923432392,
           -1.063943532707718,
           -1.0839445048217289,
           -1.1021761928994973,
           -1.1186088380054617,
           -1.133215617717882,
           -1.1459726899101013,
           -1.1568592316672226,
           -1.1658574732746014,
           -1.1729527272227225,
           -1.1781334121810938,
           -1.1813910719020462,
           -1.1827203890235611,
           -1.1821191937486129,
           -1.179588467386852,
           -1.175132340752847,
           -1.1687580874235024,
           -1.1604761118656608,
           -1.150299932453259,
           -1.1382461594017679,
           -1.1243344676559308,
           -1.1085875647750492,
           -1.0910311538682427,
           -1.0716938916401793,
           -1.0506073416157564,
           -1.027805922620081,
           -1.0033268525978483,
           -0.9772100878638139,
           -0.9494982578835227,
           -0.9202365956907537,
           -0.8894728640552425,
           -0.8572572775212199,
           -0.8236424204439845,
           -0.788683161158354,
           -0.7524365624190152,
           -0.7149617882590209,
           -0.6763200074184641,
           -0.6365742935008969,
           -0.5957895220205449,
           -0.5540322645083169,
           -0.5113706798494517,
           -0.46787440303020844,
           -0.4236144314751522,
           -0.37866300916058027,
           -0.3330935086932598,
           -0.2869803115469267,
           -0.24039868665205333,
           -0.19342466753705434,
           -0.14613492822147034,
           -0.09860665806368019,
           -0.05091743576746932,
           -0.0031451027530717823,
           0.04463236390060921,
           0.0923369787352204,
           0.13989087520583343
          ],
          [
           0.5491895775156279,
           0.5263287098734089,
           0.5026087346107815,
           0.47806836899913785,
           0.45274766940384703,
           0.42668796590166025,
           0.3999317948191061,
           0.3725228293019551,
           0.34450580802910125,
           0.315926462187206,
           0.28683144082531253,
           0.25726823471126004,
           0.22728509881419523,
           0.1969309735397058,
           0.166255404846134,
           0.13530846337247482,
           0.104140662709856,
           0.07280287694999643,
           0.04134625764523747,
           0.009822150315692113,
           -0.02171798936022995,
           -0.05322267953509119,
           -0.08464049622441028,
           -0.1159201572442079,
           -0.1470106059170826,
           -0.1778610944102148,
           -0.20842126656924798,
           -0.23864124011284016,
           -0.26847168805374455,
           -0.2978639192134924,
           -0.3267699576992671,
           -0.35514262121325313,
           -0.3829355980666165,
           -0.4101035227724257,
           -0.43660205009412456,
           -0.46238792742868373,
           -0.487419065406284,
           -0.5116546065912915,
           -0.5350549921724062,
           -0.5575820265330935,
           -0.5791989395969326,
           -0.5998704468461025,
           -0.6195628069150474,
           -0.6382438766653022,
           -0.655883163651596,
           -0.672451875893588,
           -0.6879229688719857,
           -0.7022711896723575,
           -0.7154731182045624,
           -0.7275072054305303,
           -0.7383538085379917,
           -0.7479952230027385,
           -0.7564157114870903,
           -0.7636015295273897,
           -0.7695409479686031,
           -0.774224272109399,
           -0.7776438575264693,
           -0.7797941225522442,
           -0.7806715573856532,
           -0.7802747298210468,
           -0.7786042875859349,
           -0.775662957283725,
           -0.7714555399431836,
           -0.7659889031818877,
           -0.7592719699964587,
           -0.7513157041978709,
           -0.7421330925156135,
           -0.7317391233999144,
           -0.7201507625566266,
           -0.7073869252547094,
           -0.6934684454515097,
           -0.6784180417862338,
           -0.6622602804971214,
           -0.6450215353228486,
           -0.626729944453615,
           -0.6074153646021747,
           -0.587109322269789,
           -0.5658449622866377,
           -0.5436569937106981,
           -0.5205816331733728,
           -0.4966565457643912,
           -0.47192078355240463,
           -0.4464147218416894,
           -0.4201799932689898,
           -0.39325941984802437,
           -0.36569694307264555,
           -0.3375375521927175,
           -0.3088272107797403,
           -0.2796127817021645,
           -0.24994195063279623,
           -0.21986314821316455,
           -0.18942547100191742,
           -0.15867860133624934,
           -0.12767272623719617,
           -0.09645845549114274,
           -0.06508673904127171,
           -0.03360878382378374,
           -0.002075970184640674,
           0.029460231986750074,
           0.060948347269993874
          ],
          [
           0.27607524663713257,
           0.26545842640560746,
           0.2544083078326693,
           0.2429429276335724,
           0.23108100034035184,
           0.21884188775474644,
           0.20624556734462374,
           0.1933125996354672,
           0.18006409465017192,
           0.1665216774518905,
           0.15270745284622578,
           0.13864396930033518,
           0.12435418213787308,
           0.10986141606983146,
           0.09518932712244865,
           0.08036186402431422,
           0.0654032291157165,
           0.0503378388440181,
           0.03519028390956169,
           0.019985289127147254,
           0.004747673068592917,
           -0.010497692447734686,
           -0.025725922954306313,
           -0.04091216195245906,
           -0.05603162148477292,
           -0.07105962259557508,
           -0.08597163561351717,
           -0.10074332019048882,
           -0.11535056503149832,
           -0.1297695272506818,
           -0.143976671289197,
           -0.15794880733148364,
           -0.17166312915716375,
           -0.1850972513668312,
           -0.1982292459209436,
           -0.21103767793217187,
           -0.22350164065281541,
           -0.23560078960012998,
           -0.24731537576391727,
           -0.25862627784211734,
           -0.26951503345183747,
           -0.27996386926484096,
           -0.2899557300183173,
           -0.2994743063535834,
           -0.3085040614372634,
           -0.31703025632151594,
           -0.3250389740018895,
           -0.3325171421335553,
           -0.33945255436883004,
           -0.3458338902811606,
           -0.3516507338430588,
           -0.356893590427807,
           -0.3615539023072021,
           -0.3656240626200291,
           -0.369097427788473,
           -0.3719683283621895,
           -0.37423207827235194,
           -0.37588498248055163,
           -0.37692434301007843,
           -0.37734846334973215,
           -0.3771566512229774,
           -0.37634921971792196,
           -0.37492748677627386,
           -0.37289377304211246,
           -0.37025139807398344,
           -0.3670046749265019,
           -0.36315890311030663,
           -0.3587203599418567,
           -0.35369629029719296,
           -0.3480948947863829,
           -0.34192531636795875,
           -0.3351976254251885,
           -0.3279228033285517,
           -0.32011272451123585,
           -0.3117801370869242,
           -0.30293864204150234,
           -0.29360267103265203,
           -0.28378746283357126,
           -0.27350903845926844,
           -0.26278417501602735,
           -0.2516303783167353,
           -0.2400658543067622,
           -0.22810947934706238,
           -0.21578076940293034,
           -0.20309984818881688,
           -0.19008741432109222,
           -0.17676470753242501,
           -0.1631534740029359,
           -0.1492759308646754,
           -0.1351547299373843,
           -0.12081292075475059,
           -0.10627391294145472,
           -0.09156143800248717,
           -0.07669951058706115,
           -0.06171238929033773,
           -0.04662453705699754,
           -0.03146058125124629,
           -0.016245273458443066,
           -0.0010034490839618826,
           0.014240013184743994
          ],
          [
           -0.020170536789528182,
           -0.019454157081782775,
           -0.01870602304582958,
           -0.017927355834232106,
           -0.01711942643776343,
           -0.016283553610821677,
           -0.015421101718873231,
           -0.01453347851144926,
           -0.013622132824313127,
           -0.012688552214598303,
           -0.01173426053270532,
           -0.010760815434982085,
           -0.009769805841215451,
           -0.008762849341094281,
           -0.007741589553875272,
           -0.006707693445560103,
           -0.005662848607969728,
           -0.004608760504143383,
           -0.0035471496845786987,
           -0.0024797489788319638,
           -0.0014083006670837506,
           -0.00033455363627954426,
           0.0007397394745174424,
           0.0018128251348974445,
           0.002882951785331933,
           0.003948372696174651,
           0.005007348818793389,
           0.006058151624152686,
           0.007099065924233372,
           0.008128392671671314,
           0.009144451733051007,
           0.01014558463132964,
           0.011130157252909001,
           0.012096562514940068,
           0.013043222988511793,
           0.013968593473424384,
           0.014871163520369102,
           0.015749459896384543,
           0.016602048989553975,
           0.017427539149047266,
           0.01822458295665408,
           0.018991879426138336,
           0.01972817612678135,
           0.02043227122768254,
           0.0211030154594698,
           0.0217393139902069,
           0.02234012821244713,
           0.022904477438519866,
           0.023431440501270107,
           0.02392015725764507,
           0.024369829992677783,
           0.024779724721566643,
           0.025149172387735064,
           0.025477569954906576,
           0.025764381391419677,
           0.026009138545175503,
           0.026211441907782462,
           0.026370961266662385,
           0.026487436244043205,
           0.026560676721964827,
           0.026590563152601776,
           0.026577046753397088,
           0.026520149586688135,
           0.026419964523694994,
           0.026276655092930534,
           0.026090455213277686,
           0.02586166881217289,
           0.025590669329516702,
           0.025277899108118174,
           0.02492386867167884,
           0.024529155891478638,
           0.02409440504314153,
           0.02362032575500317,
           0.023107691849812984,
           0.022557340081648558,
           0.02197016877011393,
           0.021347136334042283,
           0.02068925972710467,
           0.0199976127778716,
           0.019273324437042216,
           0.01851757693469569,
           0.017731603850584587,
           0.01691668810059621,
           0.0160741598427121,
           0.015205394305814579,
           0.014311809544969023,
           0.01339486412678248,
           0.012456054748620993,
           0.011496913795618902,
           0.010519006839421863,
           0.009523930082742105,
           0.0085133077539572,
           0.007488789455928568,
           0.006452047473403333,
           0.005404774043424432,
           0.0043486785931383665,
           0.003285484949559603,
           0.0022169285258311078,
           0.0011447534885755672,
           7.070991094160206e-05
          ],
          [
           -0.33761435625409186,
           -0.3265495889991916,
           -0.3149518064724868,
           -0.30283993932161923,
           -0.29023375731625967,
           -0.27715383707862395,
           -0.26362152849698584,
           -0.24965891987701472,
           -0.23528880188780832,
           -0.2205346303615121,
           -0.2054204880071886,
           -0.18997104510146912,
           -0.17421151922014477,
           -0.15816763407640977,
           -0.14186557753296203,
           -0.12533195885648585,
           -0.10859376528429188,
           -0.09167831797401771,
           -0.07461322740826404,
           -0.05742634832699256,
           -0.040145734261223254,
           -0.022799591742257874,
           -0.005416234261160113,
           0.011975963946352586,
           0.0293486142141548,
           0.046673359783531154,
           0.06392192208889735,
           0.08106614691590153,
           0.09807805035654305,
           0.11492986448631193,
           0.13159408268878092,
           0.1480435045536801,
           0.16425128027515612,
           0.1801909544777507,
           0.19583650939858188,
           0.21116240735519387,
           0.22614363242982183,
           0.24075573130197814,
           0.25497485316273494,
           0.2687777886455591,
           0.28214200771012266,
           0.29504569641729983,
           0.30746779253527023,
           0.3193880199186583,
           0.33078692160456535,
           0.3416458915714684,
           0.3519472051091772,
           0.3616740477502387,
           0.37081054271560276,
           0.37934177682971715,
           0.3872538248627735,
           0.3945337722603688,
           0.4011697362234674,
           0.407150885104276,
           0.4124674560863526,
           0.41711077112010697,
           0.4210732510876707,
           0.42434842817402296,
           0.4269309564241732,
           0.4288166204691744,
           0.430002342406719,
           0.43048618682508966,
           0.4302673639622629,
           0.42934623099500957,
           0.4277242914558881,
           0.4254041927790808,
           0.42238972197908264,
           0.41868579946929196,
           0.4142984710305935,
           0.4092348979430478,
           0.40350334529678555,
           0.39711316850119927,
           0.39007479801443656,
           0.38239972231813946,
           0.3741004691651999,
           0.3651905851311592,
           0.35568461350261193,
           0.3455980705387174,
           0.33494742014456236,
           0.3237500469977146,
           0.3120242281718326,
           0.29978910330365105,
           0.28706464335202586,
           0.27387161800005755,
           0.26023156175346873,
           0.24616673879061146,
           0.23170010662141216,
           0.21685527861468046,
           0.2016564854548264,
           0.1861285355909752,
           0.17029677474303462,
           0.15418704453076337,
           0.1378256402934177,
           0.12123926816881436,
           0.1044550015018384,
           0.08750023665360107,
           0.07040264828332088,
           0.053190144175966125,
           0.03589081968938057,
           0.018532911895215776
          ],
          [
           -0.6741844485249229,
           -0.653823643762633,
           -0.6323956259370522,
           -0.6099353712390299,
           -0.5864795407429182,
           -0.5620664205660124,
           -0.5367358593754838,
           -0.5105292033448179,
           -0.4834892286659218,
           -0.45566007172707934,
           -0.4270871570706847,
           -0.3978171232483838,
           -0.36789774669462894,
           -0.3373778637428977,
           -0.30630729091189224,
           -0.27473674359180134,
           -0.24271775326337952,
           -0.21030258338494345,
           -0.17754414408458796,
           -0.14449590579686689,
           -0.11121181198490859,
           -0.07774619109041936,
           -0.044153667855299616,
           -0.010489074159625744,
           0.023192640478478133,
           0.056836498594986296,
           0.09038758451772022,
           0.12379113400325803,
           0.1569926236266479,
           0.18993785977806077,
           0.2225730671210906,
           0.2548449763683216,
           0.2867009112308869,
           0.3180888744001029,
           0.348957632420829,
           0.3792567993180054,
           0.4089369188398928,
           0.4379495451837476,
           0.46624732207218944,
           0.4937840600511554,
           0.5205148118833054,
           0.5463959459138117,
           0.5713852172887415,
           0.5954418369098216,
           0.6185265380130542,
           0.6406016402624459,
           0.6616311112542759,
           0.6815806253315029,
           0.7004176196123346,
           0.71811134714144,
           0.7346329270771084,
           0.7499553918324426,
           0.7640537310935653,
           0.7769049326430799,
           0.788488019922087,
           0.7987840862694784,
           0.8077763257826058,
           0.8154500607489567,
           0.8217927656040637,
           0.8267940873765371,
           0.8304458625868513,
           0.8327421305723015,
           0.8336791432163824,
           0.8332553710667043,
           0.831471505831465,
           0.8283304592503976,
           0.8238373583420424,
           0.8179995370350972,
           0.8108265241975052,
           0.8023300280828253,
           0.7925239172192631,
           0.7814241977725704,
           0.7690489874197457,
           0.755418485776199,
           0.7405549414246355,
           0.7244826155994875,
           0.7072277425861646,
           0.6888184868997644,
           0.6692848973131338,
           0.6486588578093291,
           0.6269740355385252,
           0.6042658258643252,
           0.5805712945891641,
           0.5559291174531253,
           0.5303795170048997,
           0.5039641969479569,
           0.4767262740690681,
           0.4487102078603229,
           0.4199617279494561,
           0.39052775945703644,
           0.3604563464022421,
           0.3297965732823185,
           0.298598484953712,
           0.26691300494562054,
           0.2347918523393293,
           0.202287457349013,
           0.16945287574173662,
           0.13634170223642972,
           0.10300798302314274,
           0.06950612754535168
          ],
          [
           -1.0276842247907725,
           -0.9991404021582047,
           -0.9689657182078832,
           -0.9372094260024713,
           -0.9039233602074832,
           -0.869161852483423,
           -0.8329816428021424,
           -0.7954417868322063,
           -0.7566035595444198,
           -0.7165303551948825,
           -0.6752875838487986,
           -0.6329425646139515,
           -0.589564415758125,
           -0.5452239418898124,
           -0.4999935183863764,
           -0.45394697325829014,
           -0.40715946664230973,
           -0.35970736812025894,
           -0.3116681320636747,
           -0.26312017120779263,
           -0.21414272866123252,
           -0.16481574856029368,
           -0.11521974557898584,
           -0.06543567350778723,
           -0.01554479311566137,
           0.034371460489007966,
           0.08423161078204355,
           0.13395427281471317,
           0.18345828605547077,
           0.23266284686541727,
           0.28148764039119545,
           0.32985297166007044,
           0.3776798956631966,
           0.4248903462147444,
           0.4714072633765598,
           0.5171547192403576,
           0.5620580418621399,
           0.60604393714656,
           0.6490406084822604,
           0.6909778739329249,
           0.7317872807927599,
           0.771402217319408,
           0.8097580214619224,
           0.8467920864063343,
           0.8824439627665255,
           0.9166554572536092,
           0.9493707276627648,
           0.9805363740224804,
           1.0101015257574315,
           1.0380179247227015,
           1.0642400039738402,
           1.0887249621441628,
           1.1114328333079002,
           1.1323265522151533,
           1.1513720147921849,
           1.1685381338082823,
           1.1837968896183402,
           1.197123375898328,
           1.2084958402989985,
           1.2178957199514708,
           1.2253076717667417,
           1.2307195974796643,
           1.2341226633965146,
           1.235511314813916,
           1.2348832850855844,
           1.2322395993220925,
           1.2275845727176193,
           1.220925803506414,
           1.212274160560465,
           1.2016437656486305,
           1.1890519703861748,
           1.174519327912348,
           1.158069559342223,
           1.1397295150475701,
           1.1195291308299447,
           1.097501379057547,
           1.0736822148456002,
           1.0481105173680927,
           1.0208280263966865,
           0.9918792741703761,
           0.9613115127070966,
           0.9291746366759397,
           0.8955211019558567,
           0.8604058400137995,
           0.8238861682420384,
           0.7860216964010247,
           0.7468742293204991,
           0.7065076660176683,
           0.664987895397112,
           0.6223826887026789,
           0.5787615888968718,
           0.534195797148378,
           0.4887580566129195,
           0.44252253369717565,
           0.3955646969996236,
           0.34796119412581916,
           0.29978972657922753,
           0.25112892293184164,
           0.20205821048155848,
           0.15265768560581527
          ],
          [
           -1.3958066064633858,
           -1.3602461911910453,
           -1.3224654944737328,
           -1.2825261843980424,
           -1.240493452478315,
           -1.1964359072468644,
           -1.1504254622667074,
           -1.102537218749617,
           -1.0528493429710784,
           -1.001442938682271,
           -0.9484019147272957,
           -0.8938128480817547,
           -0.837764842536239,
           -0.7803493832553801,
           -0.7216601874498725,
           -0.6617930514052057,
           -0.6008456941167939,
           -0.5389175977867477,
           -0.4761098454426058,
           -0.4125249559431081,
           -0.3482667166403193,
           -0.28344001397121943,
           -0.21815066225530888,
           -0.15250523097766155,
           -0.0866108708393476,
           -0.02057513885915352,
           0.04549417718790405,
           0.11148923470873484,
           0.1773023123197941,
           0.2428259856768724,
           0.3079533028200183,
           0.37257795874742694,
           0.43659446893330145,
           0.49989834150649326,
           0.5623862478088695,
           0.6239561910549991,
           0.6845076728178707,
           0.7439418570689122,
           0.8021617315045075,
           0.8590722658957373,
           0.9145805672028309,
           0.9685960312011774,
           1.0210304903713778,
           1.0717983578119297,
           1.1208167669397064,
           1.168005706750122,
           1.213288152416236,
           1.2565901910136437,
           1.2978411421659213,
           1.3369736734136808,
           1.373923910118937,
           1.408631539725427,
           1.441039910204632,
           1.4710961225268748,
           1.4987511170065198,
           1.5239597533803557,
           1.546680884488438,
           1.5668774234371319,
           1.584516404134733,
           1.5995690351008423,
           1.6120107464616766,
           1.621821230054598,
           1.628984472576405,
           1.633488781721279,
           1.6353268052657168,
           1.6344955430693042,
           1.6309963519717388,
           1.6248349435781089,
           1.616021374936042,
           1.6045700321199474,
           1.5904996067491346,
           1.5738330654781532,
           1.554597612509135,
           1.5328246451873477,
           1.508549702752422,
           1.4818124083289181,
           1.4526564042509094,
           1.4211292808261526,
           1.387282498656122,
           1.3511713046387044,
           1.3128546417906493,
           1.2723950530369867,
           1.229858579124428,
           1.185314650825414,
           1.138835975608731,
           1.0904984189616989,
           1.0403808805576378,
           0.9885651654707361,
           0.935135850648543,
           0.8801801468600243,
           0.8237877563445277,
           0.7660507263940204,
           0.7070632991075492,
           0.6469217575632351,
           0.5857242686588311,
           0.5235707228773743,
           0.46056257123952005,
           0.3968026597086478,
           0.3323950613190494,
           0.2674449063012263
          ],
          [
           -1.7761490820798556,
           -1.734784292441776,
           -1.6905878761463462,
           -1.643631973430883,
           -1.5939932287441643,
           -1.5417526656424356,
           -1.4869955545375393,
           -1.4298112735130584,
           -1.3702931624356434,
           -1.3085383705996816,
           -1.2446476981539547,
           -1.1787254315691431,
           -1.110879173414736,
           -1.0412196667231832,
           -0.9698606142279864,
           -0.8969184927707721,
           -0.82251236318029,
           -0.7467636759336633,
           -0.6697960729170891,
           -0.5917351856095969,
           -0.5127084300192504,
           -0.4328447987065349,
           -0.3522746502343965,
           -0.2711294963885873,
           -0.18954178751567063,
           -0.10764469632902784,
           -0.025571900535782177,
           0.05654263536057336,
           0.1385648787256546,
           0.2203609475708932,
           0.30179732908434165,
           0.3827410975588821,
           0.4630601313621243,
           0.5426233285938498,
           0.6213008210789743,
           0.698964186346748,
           0.7754866572501813,
           0.8507433288835529,
           0.9246113624602383,
           0.9969701858180895,
           1.067701690225078,
           1.1366904231639898,
           1.203823776781448,
           1.2689921716937,
           1.3320892358491618,
           1.3930119781557173,
           1.451660956589417,
           1.5079404405101564,
           1.5617585669193916,
           1.6130274904048423,
           1.6616635265274269,
           1.7075872884164045,
           1.750723816349729,
           1.7910027001081381,
           1.8283581939032516,
           1.8627293236920772,
           1.894059986702773,
           1.9222990430092053,
           1.947400399004831,
           1.9693230826396462,
           1.9880313102974112,
           2.0034945452039694,
           2.01568754727134,
           2.024590414296213,
           2.030188614445607,
           2.032473009976667,
           2.031439872151871,
           2.0270908873253206,
           2.0194331541901613,
           2.008479172191642,
           1.9942468211247115,
           1.97675933194947,
           1.9560452488720947,
           1.9321383827531529,
           1.905077755919334,
           1.8749075384686957,
           1.8416769761733867,
           1.8054403100975238,
           1.7662566880614312,
           1.7241900680967643,
           1.6793091140500849,
           1.631687083505315,
           1.5814017082079808,
           1.528535067186461,
           1.473173452777302,
           1.4154072297733133,
           1.3553306879243303,
           1.2930418880314103,
           1.2286425018856817,
           1.1622376463130921,
           1.0939357115959587,
           1.0238481845513672,
           0.9520894665552051,
           0.8787766868088775,
           0.8040295111534608,
           0.7279699467434337,
           0.6507221428987275,
           0.5724121884602029,
           0.4931679059793419,
           0.4131186430780325
          ],
          [
           -2.166229387037448,
           -2.1203103229379114,
           -2.0709303517628137,
           -2.0181700746816116,
           -1.9621156104167758,
           -1.902858454675274,
           -1.8404953308033867,
           -1.7751280319086273,
           -1.706863254706473,
           -1.6358124253631212,
           -1.5620915176185184,
           -1.485820863486552,
           -1.4071249568413933,
           -1.3261322502105708,
           -1.2429749451064818,
           -1.1577887762385743,
           -1.0707127899584021,
           -0.9818891172992288,
           -0.8914627419805843,
           -0.7995812637565107,
           -0.7063946574937328,
           -0.6120550283730228,
           -0.5167163636133258,
           -0.4205342811239028,
           -0.3236657754947574,
           -0.2262689617399527,
           -0.12850281721210433,
           -0.03052692210930097,
           0.06749880100196926,
           0.1654143482227326,
           0.26305989549020214,
           0.36027605945290375,
           0.45690415762644854,
           0.5527864674053049,
           0.6477664835077972,
           0.7416891734341045,
           0.8344012305202853,
           0.9257513241753017,
           1.015590346892548,
           1.1037716576327292,
           1.1901513211808088,
           1.2745883430863412,
           1.356944899803695,
           1.4370865636565107,
           1.514882522259232,
           1.5902057920374868,
           1.6629334254988697,
           1.732946711915751,
           1.8001313710925726,
           1.8643777399013541,
           1.9255809512808955,
           1.983641105407566,
           2.038463432758218,
           2.0899584487991136,
           2.138042100048347,
           2.182635901273339,
           2.2236670635995033,
           2.261068613320924,
           2.2947795012191636,
           2.3247447022117185,
           2.350915305167507,
           2.3732485927427716,
           2.3917081111070724,
           2.406263729445582,
           2.41689168914054,
           2.4235746425515985,
           2.4263016813317595,
           2.425068354232681,
           2.4198766743702915,
           2.4107351159388517,
           2.3976586003788287,
           2.3806684720211626,
           2.3597924632476697,
           2.3350646492244675,
           2.3065253922822917,
           2.2742212760344986,
           2.238205029340296,
           2.198535440237299,
           2.1552772599839063,
           2.1085010973681335,
           2.058283303455392,
           2.0047058469633727,
           1.9478561804674144,
           1.8878270976547875,
           1.8247165818608533,
           1.7586276461343586,
           1.6896681650929,
           1.617950698843023,
           1.5435923092523725,
           1.4667143688737645,
           1.3874423628330956,
           1.3059056840044336,
           1.2222374218066347,
           1.136574144966223,
           1.0490556786011167,
           0.9598248759890762,
           0.8690273853933572,
           0.7768114123262624,
           0.6833274776385494,
           0.5887281718295876
          ],
          [
           -2.563501703828804,
           -2.514308188158642,
           -2.4610106567204104,
           -2.403696105177752,
           -2.342458086033248,
           -2.277396555926007,
           -2.208617712476002,
           -2.13623382094147,
           -2.0603630309723244,
           -1.9811291837586942,
           -1.898661609889352,
           -1.8130949182499956,
           -1.72456877630596,
           -1.6332276821279832,
           -1.5392207285331425,
           -1.4427013597259641,
           -1.343827120836901,
           -1.2427594007670333,
           -1.1396631687586996,
           -1.0347067051220789,
           -0.9280613265572297,
           -0.8199011065199393,
           -0.7104025910878109,
           -0.5997445107903916,
           -0.4881074888736885,
           -0.37567374647526997,
           -0.26262680519119286,
           -0.1491511875202267,
           -0.03543211567435467,
           0.07834479075285827,
           0.19199381776651592,
           0.30532946010474227,
           0.41816672403230815,
           0.5303214292993257,
           0.6416105097721205,
           0.7518523122455596,
           0.860866892949109,
           0.9684763112626582,
           1.0745049201626529,
           1.178779652924479,
           1.2811303056131194,
           1.3813898149009827,
           1.4793945307594258,
           1.5749844835788638,
           1.66800364528148,
           1.7583001840003,
           1.8457267119089424,
           1.9301405257975222,
           2.011403840002028,
           2.0893840113069504,
           2.16395375545408,
           2.2349913549040803,
           2.302380857511689,
           2.3660122657902782,
           2.4257817164568385,
           2.481591649964318,
           2.5333509697446015,
           2.58097519090219,
           2.624386578115897,
           2.6635142725234413,
           2.698294407381844,
           2.7286702123148467,
           2.7545921059771725,
           2.776017776984388,
           2.7929122529762767,
           2.8052479577009723,
           2.8130047560266966,
           2.816169986807617,
           2.814738483550184,
           2.8087125828462165,
           2.7981021205589633,
           2.7829244157683766,
           2.763204242501791,
           2.7389737892961645,
           2.710272606657871,
           2.6771475425058178,
           2.6396526657032586,
           2.5978491778031065,
           2.5518053131508207,
           2.501596227507913,
           2.4473038753778713,
           2.389016876234746,
           2.3268303698727255,
           2.2608458611128492,
           2.191171054120291,
           2.1179196766026887,
           2.041211294176455,
           1.9611711152040718,
           1.8779297864209452,
           1.7916231796853808,
           1.70239217019979,
           1.6103824065651096,
           1.5157440730437748,
           1.4186316444192926,
           1.3192036338525477,
           1.217622334146423,
           1.1140535528410167,
           1.0086663415719048,
           0.9016327201331809,
           0.7931273956956497
          ],
          [
           -2.965373277048362,
           -2.9142065030573545,
           -2.8582829735117623,
           -2.7976939703984782,
           -2.7325383909908396,
           -2.662922586422143,
           -2.5889601880924697,
           -2.5107719221921987,
           -2.4284854126449362,
           -2.3422349727915326,
           -2.252161386155199,
           -2.158411676645565,
           -2.0611388685767897,
           -1.960501736891422,
           -1.8566645479977062,
           -1.7497967916433734,
           -1.6400729042635582,
           -1.5276719842544204,
           -1.4127774996371958,
           -1.2955769885898811,
           -1.1762617533353423,
           -1.0550265478855048,
           -0.9320692601513061,
           -0.8075905889373054,
           -0.6817937163481718,
           -0.554883976141757,
           -0.4270685185701222,
           -0.2985559722555422,
           -0.16955610365344143,
           -0.04027947465806747,
           0.08906290109019288,
           0.21825990263486794,
           0.3471006463086228,
           0.4753748299511651,
           0.602873076177981,
           0.7293872741395813,
           0.8547109192134315,
           0.9786394500741133,
           1.1009705825914757,
           1.2215046400118355,
           1.3400448788832233,
           1.4563978101927315,
           1.5703735151917355,
           1.6817859553935044,
           1.7904532762372098,
           1.8961981039226505,
           1.9988478349311896,
           2.0982349177603328,
           2.194197126412098,
           2.28657782518872,
           2.3752262243635327,
           2.459997626309675,
           2.54075366168487,
           2.61736251528679,
           2.6896991412103066,
           2.7576454669554797,
           2.8210905861530904,
           2.879930939593166,
           2.9340704842609924,
           2.983420850104703,
           3.0279014842785736,
           3.0674397826265656,
           3.101971208191505,
           3.13143939655646,
           3.1557962478463724,
           3.175002005239774,
           3.189025319862429,
           3.1978433019569863,
           3.201441558245117,
           3.1998142154211484,
           3.1929639297388515,
           3.1809018826757374,
           3.1636477626819213,
           3.141229733043374,
           3.113684385911988,
           3.0810566825775103,
           3.0433998800788333,
           3.000775444274421,
           2.953252949513778,
           2.900909965073716,
           2.8438319285447813,
           2.7821120063745215,
           2.7158509417952006,
           2.645156890384218,
           2.570145243525598,
           2.4909384400607464,
           2.4076657664358883,
           2.3204631456723983,
           2.2294729155044966,
           2.134843596046426,
           2.0367296473683596,
           1.9352912173767223,
           1.8306938804104655,
           1.723108366979965,
           1.6127102850896846,
           1.4996798335994894,
           1.3842015080924441,
           1.2664637997292503,
           1.146658887580835,
           1.0249823249412895
          ],
          [
           -3.369221334734017,
           -3.317395373931921,
           -3.2601545467313224,
           -3.1975922852971923,
           -3.1298107077821937,
           -3.0569204516428714,
           -2.979040493050064,
           -2.896297952688337,
           -2.8088278882614057,
           -2.7167730740422633,
           -2.6202837678278126,
           -2.5195174656784056,
           -2.4146386448426393,
           -2.3058184952869936,
           -2.193234640268537,
           -2.077070846406815,
           -1.9575167237281237,
           -1.834767416171831,
           -1.7090232830638543,
           -1.5804895720772696,
           -1.4493760842138403,
           -1.315896831353308,
           -1.18026968692942,
           -1.0427160303028726,
           -0.9034603854116678,
           -0.7627300542886717,
           -0.6207547460446063,
           -0.4777662019220301,
           -0.33399781703237164,
           -0.18968425939338296,
           -0.045061086888893875,
           0.0996356372239422,
           0.24416972963229888,
           0.38830527248129076,
           0.5318069984542957,
           0.6744406747914198,
           0.815973485619292,
           0.956174411968135,
           1.094814608855799,
           1.2316677788232906,
           1.3665105413120462,
           1.499122797280088,
           1.6292880884618404,
           1.7567939506852532,
           1.8814322606695195,
           2.002999575737292,
           2.1212974658869204,
           2.236132837682685,
           2.347318249434345,
           2.4546722171515323,
           2.5580195107736037,
           2.657191440191445,
           2.7520261305943245,
           2.8423687866923855,
           2.92807194538349,
           3.0089957164519925,
           3.0850080109065603,
           3.155984756584329,
           3.221810100669482,
           3.2823765987956803,
           3.3375853904236705,
           3.3873463602078298,
           3.431578285088237,
           3.47020896686818,
           3.5031753500607072,
           3.5304236248118475,
           3.5519093147325265,
           3.56759734949579,
           3.5774621220808513,
           3.5814875305705196,
           3.5796670044337864,
           3.572003515250671,
           3.5585095718618116,
           3.539207199950737,
           3.5141279060921202,
           3.483312626324722,
           3.4468116593329525,
           3.404684584346116,
           3.357000163889355,
           3.303836231545033,
           3.245279564907741,
           3.1814257439403266,
           3.1123789949621123,
           3.038252020523996,
           2.9591658154480753,
           2.8752494693321173,
           2.7866399558411974,
           2.693481909130458,
           2.595927387763932,
           2.4941356265147543,
           2.3882727764519123,
           2.2785116337377693,
           2.165031357579037,
           2.0480171777915794,
           1.9276600924563771,
           1.8041565561601636,
           1.6777081593295828,
           1.548521299182318,
           1.416806842832266,
           1.2827797830986363
          ],
          [
           -3.7724102056085838,
           -3.7212434316175758,
           -3.6640026044169773,
           -3.600781156171759,
           -3.5316822810017543,
           -3.4568187665415855,
           -3.3763128098414183,
           -3.2902958179090653,
           -3.1989081932189998,
           -3.1022991045384014,
           -3.000626243444282,
           -2.8940555669291363,
           -2.782761026515253,
           -2.666924284319834,
           -2.546734416534387,
           -2.422387604802386,
           -2.2940868159989547,
           -2.1620414709352724,
           -2.0264671025284193,
           -1.8875850039946802,
           -1.7456218676404989,
           -1.6008094148406964,
           -1.4533840178079172,
           -1.3035863137706758,
           -1.1516608121897818,
           -0.9978554956542394,
           -0.8424214151081024,
           -0.6856122800689448,
           -0.5276840445068558,
           -0.36889448905987177,
           -0.20950280026782497,
           -0.04976914751137329,
           0.11004574165321213,
           0.269681007070365,
           0.42887608177797176,
           0.5873711173215455,
           0.7449074078956057,
           0.9012278126199735,
           1.0560771752616596,
           1.2092027407173123,
           1.3603545675763695,
           1.5092859360915432,
           1.6557537508906632,
           1.7995189377726097,
           1.9403468339396244,
           2.078007571029041,
           2.21227645031923,
           2.3429343094973265,
           2.469767880390076,
           2.5925701370738845,
           2.711140633795851,
           2.8252858321542567,
           2.9348194170043955,
           3.039562600574156,
           3.1393444142929443,
           3.234001987857588,
           3.3233808150797426,
           3.407335006080842,
           3.4857275254229525,
           3.5584304157868436,
           3.6253250068321603,
           3.6863021088988073,
           3.741262191233334,
           3.7901155444494443,
           3.832782426957439,
           3.869193195123569,
           3.8992884169468613,
           3.9230189690678636,
           3.9403461169509493,
           3.9512415781093235,
           3.955687568269521,
           3.9536768304000423,
           3.9452126465567465,
           3.9303088325256708,
           3.9089897152720106,
           3.881290093232085,
           3.847255179513085,
           3.8069405280933277,
           3.7604119431434744,
           3.7077453716167277,
           3.649026779283318,
           3.5843520104116435,
           3.513826631325072,
           3.437565758089801,
           3.3556938686149875,
           3.268344599471895,
           3.1756605277636747,
           3.0777929384018288,
           2.9749015771692413,
           2.867154389972814,
           2.754727248711348,
           2.6378036642060976,
           2.5165744866625896,
           2.3912375941526265,
           2.2619975696249486,
           2.129065366971778,
           1.9926579666962754,
           1.8529980217429922,
           1.7103134940694047,
           1.5648372825517045
          ],
          [
           -4.172308520507298,
           -4.123115004837136,
           -4.067191475291544,
           -4.004629213857414,
           -3.935530338687409,
           -3.8600076374161523,
           -3.7781843830609785,
           -3.6901941328077794,
           -3.5961805100103543,
           -3.49629696975913,
           -3.3907065484018766,
           -3.279581597425274,
           -3.1631035021317224,
           -3.041462385570565,
           -2.9148567982070004,
           -2.7834933938352266,
           -2.6475865922648043,
           -2.5073582293308436,
           -2.3630371947992512,
           -2.2148590587581216,
           -2.063065687105064,
           -1.907904846758107,
           -1.7496298012345761,
           -1.5884988972580643,
           -1.424775143068279,
           -1.2587257791220425,
           -1.0906218418862164,
           -0.9207377214345125,
           -0.7493507135703519,
           -0.5767405672067873,
           -0.40318902774230825,
           -0.2289793771778621,
           -0.05439597172571897,
           0.12027622233504953,
           0.294752093798885,
           0.4687468519106197,
           0.6419764912192827,
           0.8141582551500992,
           0.9850110975379733,
           1.1542561413691508,
           1.32161713398223,
           1.4868208979855648,
           1.6495977771549866,
           1.8096820765840649,
           1.9668124963684472,
           2.1207325581163974,
           2.271191023589335,
           2.4179423047890753,
           2.5607468648223866,
           2.699371608888525,
           2.8335902647515816,
           2.963183752076609,
           3.0879405400266426,
           3.2076569925369682,
           3.3221377007030153,
           3.4311958017393582,
           3.534653283989197,
           3.632341277486437,
           3.7241003295961352,
           3.8097806652833563,
           3.8892424315856307,
           3.9623559258899705,
           4.029001807641824,
           4.089071293140422,
           4.142466333102536,
           4.189099772704832,
           4.228895493843593,
           4.261788539379586,
           4.287725219165284,
           4.306663197681397,
           4.318571563139619,
           4.323430877938846,
           4.3212332103924815,
           4.311982147675042,
           4.295692789966946,
           4.272391725807019,
           4.242116988692976,
           4.204917995000691,
           4.160855463323607,
           4.11000131536394,
           4.052438558537437,
           3.9882611504833383,
           3.9175738457006495,
           3.840492024561118,
           3.7571415049779473,
           3.6676583370377003,
           3.572188580930587,
           3.4708880685416066,
           3.3639221490917186,
           3.2514654192441848,
           3.133701438116657,
           3.0108224276641575,
           2.8830289589220253,
           2.7505296246209547,
           2.6135406987085013,
           2.472285783332825,
           2.3269954438648464,
           2.1779068325546067,
           2.0252633014360972,
           1.8693140051123787
          ],
          [
           -4.566306385728026,
           -4.52038732162849,
           -4.467089790190258,
           -4.406500787076974,
           -4.338719209561976,
           -4.263855695101807,
           -4.182032440746633,
           -4.093383003682346,
           -3.9980520832299145,
           -3.896195284657844,
           -3.7879788651932307,
           -3.6735794626460025,
           -3.553183807089317,
           -3.4269884160667026,
           -3.29519927382347,
           -3.1580314950859574,
           -3.015708973937418,
           -2.8684640183636843,
           -2.7165369710651004,
           -2.560175817153693,
           -2.399635779375896,
           -2.2351789015215484,
           -2.067073620699141,
           -1.8955943291754749,
           -1.7210209264949379,
           -1.543638362609431,
           -1.3637361727647135,
           -1.1816080049023157,
           -0.9975511403484658,
           -0.8118660085723537,
           -0.6248556968058043,
           -0.4368254553247777,
           -0.24808219920020225,
           -0.058934007331439275,
           0.1303103804199539,
           0.3193420671753042,
           0.507852503240195,
           0.6955339897391735,
           0.8820801808616503,
           1.0671865838992765,
           1.2505510562585438,
           1.4318742986374033,
           1.610860343560847,
           1.7872170384780857,
           1.9606565226327706,
           2.1308956969278525,
           2.2976566860181578,
           2.460667291876432,
           2.6196614380924905,
           2.774379604180274,
           2.924569249183892,
           3.0699852238912504,
           3.2103901709823734,
           3.3455549124593196,
           3.4752588237252624,
           3.5992901937021706,
           3.717446570399268,
           3.8295350913682076,
           3.935372798505589,
           4.034786936688952,
           4.127615235758813,
           4.213706175386483,
           4.292919232395294,
           4.3651251101315856,
           4.430205949511025,
           4.488055521395809,
           4.5385793999886905,
           4.581695116960848,
           4.617332296062016,
           4.645432767993118,
           4.665950665353954,
           4.67885249751092,
           4.684117205262579,
           4.681736195213846,
           4.67171335380268,
           4.6540650409563895,
           4.62882006338791,
           4.5960196275756235,
           4.555717272503497,
           4.507978782271302,
           4.452882078717569,
           4.39051709423055,
           4.320985624954769,
           4.244401164632812,
           4.160888719353524,
           4.070584603509017,
           3.9736362172935467,
           3.8702018061074117,
           3.760450202258631,
           3.6445605493839626,
           3.5227220100391343,
           3.395133456935529,
           3.2620031483273344,
           3.1235483880790147,
           2.979995170967937,
           2.8315778138011534,
           2.6785385729484,
           2.5211272489156538,
           2.359600778604668,
           2.194222815923993
          ],
          [
           -4.951832416224162,
           -4.910467626586082,
           -4.8610876554109845,
           -4.803773103868326,
           -4.738617524460688,
           -4.6657272683213655,
           -4.585221311621198,
           -4.497231061367999,
           -4.401900140915567,
           -4.299384155532408,
           -4.189850438412789,
           -4.073477777544714,
           -3.950456123880669,
           -3.8209862812874293,
           -3.685279578781062,
           -3.5435575255820932,
           -3.396051449553885,
           -3.2430021196144128,
           -3.084659352737712,
           -2.921281606186531,
           -2.753135555641743,
           -2.5804956599171174,
           -2.403643712969971,
           -2.2228683839389145,
           -2.0384647459595016,
           -1.8507337945268398,
           -1.6599819561913707,
           -1.4665205883897032,
           -1.2706654712269612,
           -1.072736292040156,
           -0.8730561235839169,
           -0.6719508966903431,
           -0.46974886826369744,
           -0.2667800854783531,
           -0.06337584705452848,
           0.1401318375088163,
           0.3434107898612657,
           0.546129205003858,
           0.7479561928825635,
           0.9485623184883516,
           1.1476201395822216,
           1.344804741167529,
           1.5397942658371617,
           1.732270439129925,
           1.921919089038631,
           2.108430658821874,
           2.291500712282482,
           2.470830430687887,
           2.6461271005213134,
           2.8171045912676305,
           2.983483822453996,
           3.1449932191829992,
           3.301369155414683,
           3.45235638427396,
           3.597708454680993,
           3.737188113624521,
           3.8705676934215143,
           3.997629483331018,
           4.118166084915659,
           4.231980750570721,
           4.338887704668266,
           4.438712446792078,
           4.531292036568475,
           4.616475359628097,
           4.694123374264494,
           4.764109338386971,
           4.826319016397179,
           4.880650865651824,
           4.927016202207112,
           4.96533934557438,
           4.995557742250684,
           5.017622067822638,
           5.031496307476912,
           5.0371578147859175,
           5.034597348672776,
           5.023819088495192,
           5.0048406272236425,
           4.977692942724993,
           4.94242034719843,
           4.8990804148462335,
           4.847743887897458,
           4.78849456113791,
           4.721429145134898,
           4.6466571083800225,
           4.564300498607642,
           4.47449374358071,
           4.377383431669121,
           4.273128072578726,
           4.161897838621588,
           4.043874286949766,
           3.919250063206044,
           3.788228587075304,
           3.6510237202498095,
           3.5078594173503834,
           3.358969360373244,
           3.204596577259211,
           3.0449930452078333,
           2.8804192793839802,
           2.7111439076882196,
           2.5374432322850384
          ],
          [
           -5.326370517474893,
           -5.290810102202552,
           -5.246613685907123,
           -5.1938534088259205,
           -5.132615389681416,
           -5.062999585112719,
           -4.985119626519912,
           -4.899102634587559,
           -4.805089011790134,
           -4.7032322132180635,
           -4.593698496098444,
           -4.476666648419282,
           -4.352327697100229,
           -4.220884596186143,
           -4.082551895572417,
           -3.937555390802822,
           -3.7861317545114797,
           -3.628528150110551,
           -3.4650018283541817,
           -3.295819707437262,
           -3.1212579373143567,
           -2.941601448949958,
           -2.7571434892358204,
           -2.5681851423344852,
           -2.3750348382303326,
           -2.1780078492902812,
           -1.9774257756559361,
           -1.773616020307113,
           -1.5669112546536201,
           -1.3576488755275444,
           -1.146170454462415,
           -0.9328211801581463,
           -0.7179492950418109,
           -0.5019055268439203,
           -0.28504251611802456,
           -0.06771424063809839,
           0.14972456238678156,
           0.36691897533737006,
           0.5835144795036333,
           0.7991575337530352,
           1.013496151603134,
           1.2261804757566042,
           1.4368633491608378,
           1.6452008816600507,
           1.8508530113149457,
           2.0534840594737127,
           2.2527632786883416,
           2.4483653925819087,
           2.6399711267856367,
           2.8272677300790856,
           3.009949484882819,
           3.1877182062703557,
           3.360283728684788,
           3.527364379565709,
           3.688687439113303,
           3.8439895854391626,
           3.993017324377246,
           4.135527403253371,
           4.271287207937906,
           4.400075142533533,
           4.521680991078337,
           4.635906260673848,
           4.7425645054779295,
           4.841481631033693,
           4.9324961784376775,
           5.015459587883484,
           5.090236441150648,
           5.156704682642987,
           5.214755818615602,
           5.264295094265357,
           5.30524164839578,
           5.337528645403903,
           5.361103384373644,
           5.375927385097638,
           5.381976450887111,
           5.379240708067266,
           5.367724622093741,
           5.347446990263798,
           5.318440911034164,
           5.280753729995605,
           5.234446962592393,
           5.179596193712844,
           5.116290954314789,
           5.044634575287385,
           4.964744018787774,
           4.876749687327921,
           4.780795210923241,
           4.677037212650421,
           4.565645052997165,
           4.446800553421082,
           4.320697699569004,
           4.187542324641109,
           4.047551773416721,
           3.9009545474901612,
           3.747989932295721,
           3.588907606530582,
           3.4239672346131425,
           3.2534380428420397,
           3.077598379947655,
           2.8967352627533667
          ],
          [
           -5.687476306507733,
           -5.658932483875166,
           -5.621151787157853,
           -5.57419588444239,
           -5.518141420177554,
           -5.453079890070313,
           -5.37911749174064,
           -5.296374951378914,
           -5.204987326688848,
           -5.105103786437624,
           -4.99688736697301,
           -4.880514706104936,
           -4.756175754785884,
           -4.62407346706071,
           -4.484423468791976,
           -4.337453705701536,
           -4.183404071302833,
           -4.022526015331279,
           -3.8550821333117757,
           -3.6813457379334,
           -3.5016004129308262,
           -3.3161395502006887,
           -3.125265870908434,
           -2.929290931367326,
           -2.728534614496182,
           -2.523324607685853,
           -2.313995867926767,
           -2.1008900750705544,
           -1.8843550741181856,
           -1.664744307444955,
           -1.4424162378890735,
           -1.2177337636455348,
           -0.9910636259203089,
           -0.7627758103117235,
           -0.533242942896138,
           -0.3028396820036656,
           -0.07194210667671452,
           0.15907289719045536,
           0.38982825202914917,
           0.6199473040865473,
           0.8490544382242038,
           1.0767756910212878,
           1.302739361181751,
           1.526576616249125,
           1.7479220946386218,
           1.9664145020038384,
           2.1816972009646562,
           2.393418793233747,
           2.601233693191497,
           2.8048026919731073,
           3.0037935111471423,
           3.197881345081811,
           3.386749391113611,
           3.5700893666530655,
           3.7476020123834077,
           3.9189975807309114,
           4.083996308809556,
           4.242328875068012,
           4.393736838893637,
           4.537973062455885,
           4.674802114100584,
           4.80400065263666,
           4.9253577918880005,
           5.038675444915463,
           5.143768647347132,
           5.240465859289079,
           5.328609245323832,
           5.4080549321395,
           5.478673243369071,
           5.540348911256521,
           5.592981264804271,
           5.636484394094881,
           5.67078729051874,
           5.695833962678902,
           5.7115835277838425,
           5.718010278378986,
           5.715103724308076,
           5.702868609835871,
           5.681324905904262,
           5.6505077775344095,
           5.610467526428128,
           5.561269508862216,
           5.502994029009725,
           5.435736207862319,
           5.359605827967664,
           5.2747271542352845,
           5.181238731103373,
           5.0792931563976325,
           4.969056832251285,
           4.850709693492777,
           4.7244449139445805,
           4.590468591112426,
           4.448999409779681,
           4.300268285055966,
           4.144517985462633,
           3.98200273667036,
           3.8129878065356198,
           3.6377490721134107,
           3.4565725693529643,
           3.2697540262114266
          ],
          [
           -6.032793064903304,
           -6.012432260141015,
           -5.982257576190694,
           -5.942318266115003,
           -5.892679521428285,
           -5.833422365686783,
           -5.764643522236778,
           -5.686455256336508,
           -5.598985191909577,
           -5.502376103228977,
           -5.396785681871724,
           -5.282386279324497,
           -5.159364625660451,
           -5.027921524746365,
           -4.888271526477632,
           -4.740642576576103,
           -4.585275644522394,
           -4.422424330229994,
           -4.25235445010313,
           -4.075343603154129,
           -3.8916807178884203,
           -3.701665580696827,
           -3.5056083465249035,
           -3.3038290326180566,
           -3.0966569961687958,
           -2.8844303967186935,
           -2.6674956441926168,
           -2.446206833466126,
           -2.2209251663890166,
           -1.9920183622083965,
           -1.7598600573536385,
           -1.5248291955629454,
           -1.2873094093469675,
           -1.047688393799112,
           -0.8063572737746361,
           -0.5637099654714688,
           -0.32014253345482846,
           -0.07605254417511231,
           0.1681615829656531,
           0.4121012259396326,
           0.6553682107497196,
           0.8975654613547999,
           1.13829764780282,
           1.3771718315138095,
           1.613798106659535,
           1.8477902365929126,
           2.0787662842883323,
           2.306349235763873,
           2.530167615467811,
           2.749856092624946,
           2.965056077553003,
           3.1754163069758325,
           3.380593417377934,
           3.5802525054645207,
           3.7740676748122306,
           3.961722567818268,
           4.1429108820796605,
           4.317336870359761,
           4.484715823325947,
           4.6447745342705264,
           4.797251745056315,
           4.941898572559012,
           5.078478914910248,
           5.206769836878275,
           5.326561933757203,
           5.43765967317085,
           5.539881714233286,
           5.633061203545095,
           5.717046047542254,
           5.7916991607530335,
           5.856898689557741,
           5.912538211086043,
           5.95852690692723,
           5.994789711369879,
           6.021267433928939,
           6.03791685596025,
           6.044710801204808,
           6.041638180147592,
           6.028704008118597,
           6.005929397106483,
           5.973351521298225,
           5.931023556401019,
           5.879014592845459,
           5.8174095230116905,
           5.746308902662599,
           5.665828786810218,
           5.576100540283264,
           5.477270623304996,
           5.369500352431417,
           5.252965637239988,
           5.127856693198701,
           4.99437773118412,
           4.852746624155258,
           4.703194551527283,
           4.545965621825593,
           4.381316474236165,
           4.209515859702532,
           4.0308442022531885,
           3.8455931412754416,
           3.654065055482798
          ],
          [
           -6.360067119666746,
           -6.349002352411846,
           -6.327574334586265,
           -6.295818042380852,
           -6.253785310461126,
           -6.201544747359396,
           -6.1391816234875085,
           -6.066797731952978,
           -5.984511222405714,
           -5.892456408186572,
           -5.790783547092453,
           -5.679658596115851,
           -5.559262940559164,
           -5.429793097965925,
           -5.291460397352198,
           -5.144490634261757,
           -4.989123702208049,
           -4.82561320110456,
           -4.65422602332269,
           -4.475241918052843,
           -4.288953034679775,
           -4.095663445917555,
           -3.895688651482498,
           -3.6893550631141947,
           -3.4769994717852652,
           -3.2589684979694242,
           -3.0356180258652303,
           -2.8073126224989666,
           -2.574424942654866,
           -2.3373351206039676,
           -2.0964301496244704,
           -1.8521032503263868,
           -1.6047532288115325,
           -1.3547838257165226,
           -1.1026030572012946,
           -0.8486225489588572,
           -0.5932568643333256,
           -0.3369228276429155,
           -0.08003884381246085,
           0.17697578457406493,
           0.43370154168622355,
           0.6897193832078852,
           0.9446114203283367,
           1.1979616018473207,
           1.449356393280604,
           1.6983854518575972,
           1.9446422963092456,
           2.187724970352947,
           2.427236698791488,
           2.6627865351550715,
           2.8939899998293166,
           3.120469707627671,
           3.3418559837837947,
           3.5577874673585415,
           3.767911701076554,
           3.971885706629723,
           4.169376544508483,
           4.360061857447118,
           4.543630396596051,
           4.719782529562275,
           4.888230729488625,
           5.048700044373653,
           5.200928545865978,
           5.344667756800627,
           5.47968305677945,
           5.605754065133662,
           5.722675000643357,
           5.830255017426866,
           5.928318516451709,
           6.016705432158629,
           6.095271493730923,
           6.163888460582556,
           6.2224443316807,
           6.270843528361043,
           6.30900705033743,
           6.336872604651228,
           6.354394707349904,
           6.361544757728856,
           6.358311085015329,
           6.3446989674182035,
           6.32073062351256,
           6.286445175973093,
           6.241898587715557,
           6.187163570550494,
           6.122329466498334,
           6.047502101959589,
           5.962803614978198,
           5.86837225587993,
           5.764362161611308,
           5.650943104147352,
           5.528300213378833,
           5.396633674931333,
           5.256158403409378,
           5.107103691598978,
           4.9497128362011695,
           4.784242740707482,
           4.610963496065492,
           4.430157939818994,
           4.242121194442354,
           4.047160185622575
          ],
          [
           -6.667162551584156,
           -6.666446171876411,
           -6.654848389349706,
           -6.632388134651684,
           -6.599102068856697,
           -6.555044523625245,
           -6.50028741252035,
           -6.434920113625591,
           -6.3590493236564445,
           -6.272798883803041,
           -6.17630957758859,
           -6.069738901073445,
           -5.953260805779894,
           -5.827065414757279,
           -5.691358712250912,
           -5.546362207481318,
           -5.392312573082616,
           -5.229461258790215,
           -5.058074081008345,
           -4.8784307889274094,
           -4.6908246078993345,
           -4.49556176081627,
           -4.292960968273852,
           -4.083352928334923,
           -3.8670797767428597,
           -3.644494528465562,
           -3.4159605014817,
           -3.1818507237496974,
           -2.94254732432748,
           -2.6984409096368083,
           -2.4499299258903195,
           -2.197420008721958,
           -1.9413233210823644,
           -1.682057880479964,
           -1.4200468766658596,
           -1.1557179808762679,
           -0.8895026477599846,
           -0.6218354111303039,
           -0.35315317469095797,
           -0.08389449889373823,
           0.1855011149081096,
           0.4545939418423175,
           0.7229447512648406,
           0.9901155237004051,
           1.2556701658061207,
           1.5191752221911083,
           1.7802005829303145,
           2.0383201856176316,
           2.2931127108124003,
           2.5441622697441457,
           2.7910590831529936,
           3.0334001501577967,
           3.2707899060601084,
           3.502840868010381,
           3.7291742674824144,
           3.949420668523744,
           4.163220570772807,
           4.370224996258573,
           4.570096059024875,
           4.762507516649632,
           4.947145302758729,
           5.123708039665402,
           5.291907530298289,
           5.451469228615268,
           5.60213268773518,
           5.7436519850560135,
           5.875796123665604,
           5.998349409389679,
           6.11111180286178,
           6.213899246040399,
           6.306543962640378,
           6.3888947319881515,
           6.460817135853883,
           6.522193777857556,
           6.5729244750908995,
           6.612926421642391,
           6.642134323758394,
           6.660500506419833,
           6.667994991160426,
           6.664605544999468,
           6.650337700409292,
           6.625214746284815,
           6.589277689929892,
           6.542585190122567,
           6.485213461368431,
           6.417256149498393,
           6.338824178813933,
           6.2500455710293,
           6.151065236306242,
           6.042044736722286,
           5.9231620225587225,
           5.794611141838695,
           5.65660192358951,
           5.50935963534619,
           5.35312461545529,
           5.188151880779176,
           5.014710710441069,
           4.8330842062903105,
           4.643568830805314,
           4.44647392318838
          ],
          [
           -6.952075135071545,
           -6.96269195530307,
           -6.961943821267116,
           -6.949831954116249,
           -6.9263761236201375,
           -6.891614615896078,
           -6.845604170915921,
           -6.78841988989144,
           -6.720155112689286,
           -6.640921265475654,
           -6.550847678839322,
           -6.450081376689915,
           -6.3387868362760305,
           -6.217145719714874,
           -6.085356577471641,
           -5.943634524272672,
           -5.792210887981329,
           -5.631332832009775,
           -5.461262951882912,
           -5.282278846613064,
           -5.09467266558499,
           -4.898750631690836,
           -4.694832541493413,
           -4.483251243233638,
           -4.264352093534214,
           -4.03849239368629,
           -3.8060408064392943,
           -3.567376754245835,
           -3.3228897999439493,
           -3.072979010887539,
           -2.818052307562933,
           -2.5585257977547986,
           -2.2948230973482135,
           -2.027374638875535,
           -1.7566169689366915,
           -1.4829920356397093,
           -1.2069464672245496,
           -0.9289308430477154,
           -0.6493989581176169,
           -0.3688070823811267,
           -0.08761321597038751,
           0.19372365837451433,
           0.4747443244867262,
           0.7549900823348388,
           1.0340034967426246,
           1.3113291440441928,
           1.5865143554558312,
           1.8591099559511428,
           2.12867099743347,
           2.3947574850088293,
           2.656935095173906,
           2.914775884746871,
           3.1678589893837854,
           3.4157713105405065,
           3.658108189758728,
           3.8944740691755833,
           4.124483137178667,
           4.347759958152594,
           4.563940085289198,
           4.772670655461087,
           4.973610965187553,
           5.166433026752759,
           5.350822103568393,
           5.526477223907017,
           5.6931116721674915,
           5.850453456870655,
           5.998245754621335,
           6.136247329312029,
           6.264232925884027,
           6.381993638003212,
           6.489337249050449,
           6.586088545869922,
           6.672089604763337,
           6.747200049263151,
           6.811297279264082,
           6.864276671138904,
           6.906051748511864,
           6.936554323410995,
           6.955734607568916,
           6.963561293690445,
           6.960021606554388,
           6.945121323866077,
           6.918884766826624,
           6.881354760434289,
           6.832592563582766,
           6.772677769070467,
           6.701708173684031,
           6.619799618568105,
           6.527085800141977,
           6.423718051871656,
           6.309865097253658,
           6.185712774413629,
           6.051463732769401,
           5.907337102253552,
           5.753568135635422,
           5.590407824526388,
           5.418122489695188,
           5.236993346362005,
           5.0473160451808905,
           4.849400189659697
          ],
          [
           -7.212945418539347,
           -7.235806286181566,
           -7.246856404754503,
           -7.246077737542906,
           -7.233471555537546,
           -7.209058435360641,
           -7.17287822567936,
           -7.124989982162269,
           -7.0654718710848545,
           -6.994421041741503,
           -6.91195346787216,
           -6.818203758362525,
           -6.71332493752676,
           -6.597488195331341,
           -6.470882607967777,
           -6.333714829230264,
           -6.186208753202056,
           -6.028605148801127,
           -5.8611612667816235,
           -5.684150419832623,
           -5.497861536459554,
           -5.302598689376489,
           -5.098680599179065,
           -4.8864401141082014,
           -4.666223666753772,
           -4.438390708585002,
           -4.203313123230647,
           -3.9613746194665618,
           -3.7129701049015416,
           -3.458505041383675,
           -3.198394783179401,
           -2.933063899005527,
           -2.6629454790208253,
           -2.3884804279083736,
           -2.110116745202539,
           -1.8283087940352782,
           -1.5435165594953792,
           -1.2562048978111542,
           -0.9668427775821806,
           -0.6759025142985355,
           -0.3838589993970447,
           -0.09118892511287324,
           0.20162999360822997,
           0.4941197988670365,
           0.785803069964512,
           1.0762037026786273,
           1.364847686392336,
           1.651263877804229,
           1.9349847699589868,
           2.2155472553423423,
           2.4924933817949766,
           2.7653711000115555,
           3.0337350014046987,
           3.297147045129581,
           3.555177273082406,
           3.807404511705709,
           4.053417059454982,
           4.292813358804433,
           4.525202651695058,
           4.750205617355109,
           4.967454991451875,
           5.176596165564214,
           5.377287765997216,
           5.569202210994374,
           5.7520262454375946,
           5.925461452162403,
           6.089224739053645,
           6.243048801126671,
           6.386682556839757,
           6.519891557925562,
           6.642458372072696,
           6.7541829378327325,
           6.854882891173407,
           6.944393863144921,
           7.0225697481735345,
           7.089282942544498,
           7.144424552685045,
           7.187904572907508,
           7.219652032322385,
           7.239615110681607,
           7.247761222962877,
           7.244077072557054,
           7.2285686729717185,
           7.20126133801555,
           7.162199640479496,
           7.1114473393821855,
           7.049087275898364,
           6.975221238140177,
           6.889969795012073,
           6.793472099410459,
           6.68588566108939,
           6.567386089562998,
           6.4381668074643335,
           6.298438734828484,
           6.14842994481531,
           5.988385291433749,
           5.818566009875318,
           5.639249290109214,
           5.450727824435008,
           5.2533093297313895
          ],
          [
           -7.448070859904913,
           -7.48400671295968,
           -7.507726688222307,
           -7.519192068421404,
           -7.518384139024935,
           -7.5053042187873,
           -7.47997365759677,
           -7.4424338016268345,
           -7.392745925848296,
           -7.330991134012334,
           -7.257270226267731,
           -7.171703534628375,
           -7.0744307265596005,
           -6.965610577003954,
           -6.845420709218507,
           -6.714057304846733,
           -6.571734783698194,
           -6.418685453758721,
           -6.255159132002353,
           -6.081422736623976,
           -5.897759851358268,
           -5.704470262596049,
           -5.501869470053632,
           -5.290288171793857,
           -5.070071724439427,
           -4.8415795794595695,
           -4.605184696450206,
           -4.361272934365275,
           -4.110242421692895,
           -3.8525029066044034,
           -3.588475088136995,
           -3.318589929501665,
           -3.043287954637295,
           -2.7630185291591043,
           -2.4782391268751525,
           -2.189414583068119,
           -1.8970163357612289,
           -1.6015216562067258,
           -1.3034128698530116,
           -1.003176569061977,
           -0.7013028188616102,
           -0.398284357030283,
           -0.09461578981842855,
           0.20920721537964804,
           0.512688739086014,
           0.8153334192108241,
           1.1166472596142225,
           1.4161384364386618,
           1.7133181008954907,
           2.0077011771954276,
           2.2988071543204924,
           2.5861608703450676,
           2.8692932880257684,
           3.1477422603942653,
           3.4210532851033184,
           3.688780246294783,
           3.950486142778659,
           4.205743801334559,
           4.454136573971372,
           4.695259018006947,
           4.928717557857736,
           5.1541311274582355,
           5.371131792261539,
           5.579365349805829,
           5.778491907866417,
           5.9681864392497594,
           6.1481393123237496,
           6.3180567964184196,
           6.477661541272067,
           6.626693029740204,
           6.764908003028427,
           6.892080857755085,
           7.008004014195654,
           7.112488255107732,
           7.2053630345836055,
           7.286476756426269,
           7.3556970215945,
           7.412910844313103,
           7.458024836495567,
           7.490965360178119,
           7.511678647716347,
           7.520130889548216,
           7.516308289380209,
           7.500217086706527,
           7.471883546624593,
           7.43135391696345,
           7.378694352795096,
           7.313990808451897,
           7.237348897226408,
           7.148893718982533,
           7.048769655959488,
           6.937140137101802,
           6.814187371300068,
           6.680112049977856,
           6.535133019510245,
           6.379486924008683,
           6.213427819055209,
           6.037226757016578,
           5.85117134461514,
           5.655565273478602
          ],
          [
           -7.655916938051828,
           -7.705673382023176,
           -7.742852129587874,
           -7.767392495199518,
           -7.7792544224927385,
           -7.778418549665797,
           -7.7648862410841595,
           -7.738679585053493,
           -7.699841357765706,
           -7.648434953476899,
           -7.584544281031173,
           -7.508273626899207,
           -7.419747484955171,
           -7.319110353269804,
           -7.206526498251348,
           -7.082179686519346,
           -6.946272884948925,
           -6.799027929375191,
           -6.64068516249849,
           -6.47150304158157,
           -6.2917577165789975,
           -6.101742579387404,
           -5.901767784952345,
           -5.6921597450134165,
           -5.4732605953139934,
           -5.245427637145224,
           -5.009032754135862,
           -4.764461805239843,
           -4.512113994912456,
           -4.252401221503118,
           -3.9857474049283494,
           -3.7125877947223938,
           -3.433368259594889,
           -3.1485445596552424,
           -2.858581602491622,
           -2.5639526843188496,
           -2.2651387174338424,
           -1.9626274452395664,
           -1.6569126461188612,
           -1.3484933274575486,
           -1.0378729111324412,
           -0.7255584117937244,
           -0.41205960928299357,
           -0.09788821653776258,
           0.21644295565935545,
           0.5304208357234357,
           0.8435329287357245,
           1.1552681529708586,
           1.4651176741173768,
           1.77257573582986,
           2.0771404852569963,
           2.378314792198153,
           2.6756070605512843,
           2.9685320307277765,
           3.256611571724388,
           3.5393754615594677,
           3.816362154799571,
           4.087119535923633,
           4.351205657295049,
           4.608189460537073,
           4.85765148013405,
           5.099184528110074,
           5.3323943586674,
           5.5569003116998505,
           5.772335934130741,
           5.978349578061215,
           6.174604974752572,
           6.360781783505775,
           6.5365761145421715,
           6.701701025031952,
           6.855886987460737,
           6.998882329569726,
           7.130453645151385,
           7.250386175030084,
           7.358484157605853,
           7.45457114838908,
           7.538490308004571,
           7.610104658194873,
           7.6692973054050215,
           7.715971631583715,
           7.750051451889529,
           7.771481139044729,
           7.780225714133678,
           7.776270903697691,
           7.7596231630330825,
           7.730309665654428,
           7.688378258940192,
           7.633897386033161,
           7.56695597412314,
           7.487663289294253,
           7.396148758173823,
           7.292561756673876,
           7.177071366170166,
           7.049866097516659,
           6.911153583345979,
           6.761160239158054,
           6.600130893750143,
           6.4283283895915115,
           6.246033153795031,
           6.053542740385964
          ],
          [
           -7.835127167718316,
           -7.89935960949766,
           -7.9506982077347885,
           -7.989059164263013,
           -8.014379863858306,
           -8.02661897644391,
           -8.025756524551962,
           -8.01179391593199,
           -7.9847539412530955,
           -7.944680736903559,
           -7.891639712948583,
           -7.825717446363772,
           -7.747021539718613,
           -7.655680445540636,
           -7.551843256646919,
           -7.435679462785195,
           -7.307378673981765,
           -7.167150311047804,
           -7.0152232637492205,
           -6.85184551719804,
           -6.677283747075134,
           -6.491822884344998,
           -6.295765650173075,
           -6.0894320618047715,
           -5.873158910212707,
           -5.6472992103647845,
           -5.412221625010428,
           -5.168309862925497,
           -4.915962052598111,
           -4.655590092377684,
           -4.387618978147909,
           -4.112486109621108,
           -3.8306405763862434,
           -3.542542424875971,
           -3.248661907449216,
           -2.9494787148149877,
           -2.645481193050312,
           -2.337165546490297,
           -2.025035027791475,
           -1.7095991164903892,
           -1.3913726873982908,
           -1.070875170189296,
           -0.7486297015538255,
           -0.425162271301204,
           -0.10100086380520956,
           0.22332540380602506,
           0.547287145309066,
           0.8703555694834701,
           1.1920033432388797,
           1.5117054523620568,
           1.8289400584788824,
           2.1431893508325857,
           2.453940391487788,
           2.760685952580861,
           3.062925344249904,
           3.360165231892979,
           3.651920441420641,
           3.937714751188317,
           4.217081669315961,
           4.489565195126147,
           4.7547205634577265,
           5.0121149706402,
           5.261328280943713,
           5.501953712351689,
           5.733598500536601,
           5.955884539955235,
           6.168449001016896,
           6.37094492231723,
           6.563041776970994,
           6.744426012119309,
           6.914801560730842,
           7.073890324861475,
           7.2214326295836955,
           7.357187646844726,
           7.480933788561584,
           7.592469068311432,
           7.691611431026818,
           7.778199050157685,
           7.8520905918150925,
           7.913165445465484,
           7.961323920798984,
           7.9964874104503245,
           8.018598518306861,
           8.027621153194204,
           8.023540587786552,
           8.00636348264559,
           7.976117875348682,
           7.932853134724139,
           7.876639880268236,
           7.807569866875517,
           7.725755835070554,
           7.631331326985597,
           7.524450468384501,
           7.405287717088733,
           7.2740375782160775,
           7.130914286696858,
           6.976151457585878,
           6.810001704740882,
           6.632736228489965,
           6.444644372960898
          ],
          [
           -7.984531952453633,
           -8.06380132287659,
           -8.129908437401276,
           -8.182745391737496,
           -8.22222594200522,
           -8.248285645507407,
           -8.26088196591753,
           -8.259994342710105,
           -8.245624224720899,
           -8.217795067782056,
           -8.176552296435972,
           -8.121963229790431,
           -8.054116971636024,
           -7.9731242650052,
           -7.87911731141036,
           -7.772249555056028,
           -7.652695432377336,
           -7.520650087313653,
           -7.3763290527820615,
           -7.219967898870653,
           -7.051821848325865,
           -6.872165359961468,
           -6.6812916806692115,
           -6.479512366762366,
           -6.2671567754334365,
           -6.044571527156139,
           -5.812119939909142,
           -5.570181436145058,
           -5.3191509234726775,
           -5.059438150063339,
           -4.7914670358335645,
           -4.515674980495675,
           -4.232512149605803,
           -3.942440739774685,
           -3.6459342242405706,
           -3.3434765800357162,
           -3.0355614980079064,
           -2.722691576986435,
           -2.4053775034079443,
           -2.08413721774112,
           -1.7594950690709041,
           -1.4319809592221366,
           -1.1021294778196746,
           -0.7704790296967752,
           -0.43757095607604146,
           -0.10394865095741634,
           0.22984332584450096,
           0.5632601375660595,
           0.8957575598122207,
           1.2267928688746683,
           1.5558257276003853,
           1.8823190673647827,
           2.2057399647096743,
           2.5255605112152946,
           2.841258675186408,
           3.1523191537460633,
           3.458234213946157,
           3.7585045215218282,
           4.052639955937031,
           4.340160410390832,
           4.620596575478639,
           4.893490705229274,
           5.15839736426739,
           5.414884154881815,
           5.662532422812916,
           5.900937940607075,
           6.129711567422756,
           6.348479884211251,
           6.556885803235318,
           6.754589150930764,
           6.941267223159665,
           7.116615311948832,
           7.280347202853799,
           7.432195642136475,
           7.571912772993894,
           7.699270540126074,
           7.814061061982549,
           7.916096970080037,
           8.00521171483734,
           8.081259837428297,
           8.144117207209055,
           8.193681224332096,
           8.229870987216316,
           8.2526274245998,
           8.261913391959736,
           8.257713732142104,
           8.240035300102152,
           8.208906951715303,
           8.164379496676727,
           8.106525615566495,
           8.03543974121565,
           7.95123790456686,
           7.854057545281233,
           7.744057287400454,
           7.621416680430412,
           7.486335906268931,
           7.339035452455976,
           7.179755752279687,
           7.0087567923257,
           6.82631768811027
          ],
          [
           -8.103156217864559,
           -8.197925310855677,
           -8.279313222136594,
           -8.347187105116427,
           -8.401436171671708,
           -8.44197187298189,
           -8.468728044064445,
           -8.4816610117736,
           -8.480749666086465,
           -8.465995494560168,
           -8.437422579903775,
           -8.395077560668927,
           -8.339029555123412,
           -8.26937004843186,
           -8.18621274332777,
           -8.089693374520593,
           -7.979969487140778,
           -7.857220179584486,
           -7.721645811177632,
           -7.573467675136502,
           -7.412927637358706,
           -7.240287741634081,
           -7.055829781919943,
           -6.8598548423788355,
           -6.652682805929574,
           -6.434651832113733,
           -6.206117805129871,
           -5.967453752936412,
           -5.719049238371391,
           -5.461309723282899,
           -5.194655906708131,
           -4.919523038181329,
           -4.6363602072914585,
           -4.345629610649252,
           -4.04780579746013,
           -3.7433748949344303,
           -3.4328338147992605,
           -3.1166894422071634,
           -2.795457808365539,
           -2.4696632482372576,
           -2.139837544687374,
           -1.8065190604728674,
           -1.4702518594922882,
           -1.1315848187296158,
           -0.7910707323418906,
           -0.44926540935298753,
           -0.10672676642633094,
           0.23598608280261812,
           0.5783137403476557,
           0.9196974369572568,
           1.2595799441737263,
           1.5974064838773943,
           1.9326256338311771,
           2.264690227747491,
           2.593058248408294,
           2.917193712380497,
           3.2365675448826607,
           3.5506584433749127,
           3.858953728462547,
           4.160950180724343,
           4.456154862099709,
           4.7440859204939585,
           5.024273376288303,
           5.296259889470889,
           5.559601506136593,
           5.8138683831372004,
           6.05864548969907,
           6.293533284863091,
           6.518148369641178,
           6.732124112824785,
           6.935111249423988,
           7.126778450760287,
           7.306812865282623,
           7.474920629223831,
           7.630827346263999,
           7.774278535417823,
           7.905040046414859,
           8.022898441894679,
           8.12766134579307,
           8.219157757350649,
           8.297238330231302,
           8.361775616294908,
           8.412664273626387,
           8.449821238481569,
           8.47318586086919,
           8.482720003547698,
           8.478408104275335,
           8.460257201211814,
           8.428296921430196,
           8.382579432557659,
           8.323179357624142,
           8.250193653257838,
           8.16374145142633,
           8.063963864981718,
           7.951023757327144,
           7.825105476580653,
           7.686414554670311,
           7.53517737185176,
           7.371640787195798,
           7.196071735649073
          ],
          [
           -8.190225775334431,
           -8.300856227532,
           -8.397937487547518,
           -8.481311093095513,
           -8.550840956407024,
           -8.60641358636082,
           -8.647938273730931,
           -8.675347239248083,
           -8.688595744233378,
           -8.687662163623664,
           -8.672548021269339,
           -8.64327798744704,
           -8.599899838591213,
           -8.542484379310356,
           -8.471125326815157,
           -8.38593915794725,
           -8.287064919058187,
           -8.174663999049049,
           -8.048919865941073,
           -7.910037767407332,
           -7.758244395754275,
           -7.593787517899928,
           -7.4169355709527816,
           -7.227977224051447,
           -7.027220907180302,
           -6.8149943077302,
           -6.591643835626007,
           -6.357534057894004,
           -6.113047103592118,
           -5.858582040074252,
           -5.594554221606843,
           -5.321394611400887,
           -5.039549078166023,
           -4.7494776683349045,
           -4.451653855145783,
           -4.146563765808994,
           -3.8347053880188184,
           -3.5165877571058757,
           -3.1927301251568907,
           -2.863661113457984,
           -2.529917849644966,
           -2.192045090969003,
           -1.8505943351087557,
           -1.5061229199803443,
           -1.1591931140145022,
           -0.8103711983858259,
           -0.46022654269217833,
           -0.10933067559295084,
           0.24174364807682602,
           0.5924233821938181,
           0.9421361247091626,
           1.2903110519599854,
           1.63637985040452,
           1.9797776442601036,
           2.3199439175297982,
           2.6563234289126942,
           2.9883671181045486,
           3.315533002009347,
           3.6372870593990516,
           3.953104102577429,
           4.262468634625225,
           4.564875690827471,
           4.859831662909373,
           5.1468551047355735,
           5.425477518157505,
           5.695244117726275,
           5.955714573022748,
           6.206463727393217,
           6.447082291917493,
           6.677177513476624,
           6.896373815829849,
           7.104313412654308,
           7.300656891546946,
           7.485083768035286,
           7.657293008692822,
           7.817003522505179,
           7.963954619684963,
           8.097906437186426,
           8.21864033022538,
           8.325959229165289,
           8.419687961187034,
           8.499673536217259,
           8.565785396648632,
           8.61791563044438,
           8.65597914727926,
           8.679913817429469,
           8.689680573184788,
           8.68526347261741,
           8.666669725603377,
           8.63392968205417,
           8.58709678237761,
           8.526247470249,
           8.451481067834818,
           8.362919613672693,
           8.260707663472239,
           8.145012054161914,
           8.01602163156704,
           7.873946942163479,
           7.719019889410131,
           7.551493355221145
          ],
          [
           -8.245172374682593,
           -8.371922305255685,
           -8.485007045017392,
           -8.584242009771836,
           -8.669465221817948,
           -8.740537574339907,
           -8.797343058466247,
           -8.839788952627014,
           -8.867805973899866,
           -8.881348391098147,
           -8.880394099416254,
           -8.864944656510536,
           -8.835025279956781,
           -8.790684806088468,
           -8.731995610282961,
           -8.659053488825748,
           -8.571977502545575,
           -8.470909782475708,
           -8.356015297858482,
           -8.227481586871898,
           -8.085518450517718,
           -7.930357610170759,
           -7.762252329348352,
           -7.581477000317296,
           -7.388326696213143,
           -7.183116689402814,
           -6.966181936876737,
           -6.737876533510473,
           -6.4985731340882555,
           -6.248662345031846,
           -5.988552086827571,
           -5.718666928192242,
           -5.439447393064737,
           -5.151349241554465,
           -4.85484272602035,
           -4.55041182349465,
           -4.238553445704474,
           -3.919776627980442,
           -3.594601698376451,
           -3.2635594283566984,
           -2.9271901664363202,
           -2.586042956189732,
           -2.24067464006635,
           -1.8916489504764822,
           -1.5395355896309717,
           -1.1849092996365567,
           -0.8283489243647917,
           -0.4704364646257915,
           -0.11175612818902358,
           0.24710662379824644,
           0.6055660324383316,
           0.963036997196544,
           1.3189360309399545,
           1.672682212342693,
           2.0236981341031397,
           2.371410845425306,
           2.715252787226052,
           3.054662718541544,
           3.3890866326209377,
           3.7179786612118617,
           4.040801965561729,
           4.357029612680556,
           4.666145435434889,
           4.967644875069086,
           5.261035804778576,
           5.545839332990959,
           5.82159058504366,
           6.087839461982291,
           6.34415137524117,
           6.59010795600675,
           6.825307738106163,
           7.049366813306147,
           7.261919457952806,
           7.462618729929308,
           7.651137034957145,
           7.827166661316634,
           7.990420282113786,
           8.140631424273783,
           8.277554903495485,
           8.400967224457037,
           8.510666945619343,
           8.6064750080319,
           8.688235027604364,
           8.755813550366732,
           8.809100270301506,
           8.84800820939228,
           8.872473859594859,
           8.882457286499179,
           8.877942194512832,
           8.858935953459765,
           8.825469586550792,
           8.777597719745511,
           8.715398492588287,
           8.638973430663857,
           8.54844727988073,
           8.443967802852892,
           8.325705537712137,
           8.193853519744742,
           8.048626966306863,
           7.890262925532866
          ],
          [
           -8.267637412788572,
           -8.410659738849827,
           -8.539953644365553,
           -8.655308087495522,
           -8.756534779287822,
           -8.84346849101623,
           -8.915967323877172,
           -8.973912940606102,
           -9.017210758635184,
           -9.045790104477078,
           -9.059604329082742,
           -9.058630883985021,
           -9.042871358103696,
           -9.012351475151965,
           -8.967121051648528,
           -8.90725391560386,
           -8.832847786013378,
           -8.744024113354204,
           -8.64092788134587,
           -8.523727370298557,
           -8.392613882435127,
           -8.247801429635324,
           -8.089526384111794,
           -7.918047092588127,
           -7.733643454608714,
           -7.536616465668663,
           -7.327287725909578,
           -7.105998915183086,
           -6.873111235338987,
           -6.629004820648316,
           -6.374078117323709,
           -6.1087472331498365,
           -5.833445258285465,
           -5.548621558345818,
           -5.254741040919064,
           -4.9522833967142095,
           -4.64174231657904,
           -4.323624685666097,
           -3.9984497560621057,
           -3.6667482992312648,
           -3.3290617396558804,
           -2.985941271088446,
           -2.6379469568577045,
           -2.285646815697211,
           -1.929615894588566,
           -1.5704353301326945,
           -1.2086913999812612,
           -0.8449745658765222,
           -0.47987850986163694,
           -0.11399916523459419,
           0.252066256172482,
           0.6177202388009733,
           0.9823659386691235,
           1.3454081575792516,
           1.706254314638574,
           2.064315413507895,
           2.4190070037993925,
           2.7697501350541556,
           3.1159723017424406,
           3.4571083777440585,
           3.792601538783616,
           4.121904171314989,
           4.444478766371393,
           4.759798796922171,
           5.067349577304091,
           5.36662910332447,
           5.65714887166473,
           5.938434677246976,
           6.210027387262082,
           6.471483690595824,
           6.72237682142984,
           6.962297255836273,
           7.19085338022912,
           7.407672130581147,
           7.6123996013630055,
           7.804701623210656,
           7.984264308378109,
           8.150794563085238,
           8.304020565924308,
           8.443692211544395,
           8.569581518889448,
           8.681483003323649,
           8.779214012036675,
           8.862615022181373,
           8.931549901257238,
           8.985906129314632,
           9.025594982617106,
           9.050551678461991,
           9.060735480922903,
           9.056129767341535,
           9.036742055460248,
           9.002603991151108,
           8.95377129676147,
           8.89032368016037,
           8.812364704634199,
           8.720021619844054,
           8.613445154120626,
           8.492809268435721,
           8.358310872451959,
           8.21016950311413
          ],
          [
           -8.257474273977117,
           -8.416815712585501,
           -8.562418682471531,
           -8.694045521089663,
           -8.811481378635984,
           -8.914534568739915,
           -9.003036881347047,
           -9.076843857282423,
           -9.13583502404611,
           -9.179914092456166,
           -9.209009113818059,
           -9.22307259736395,
           -9.222081587770184,
           -9.20603770262645,
           -9.174967129795442,
           -9.128920584667357,
           -9.067973227378946,
           -8.99222454013232,
           -8.901798164813675,
           -8.796841701177055,
           -8.677526465922515,
           -8.544047213061983,
           -8.396621816029205,
           -8.235490912052693,
           -8.060917509372155,
           -7.873186557939494,
           -7.672604484305149,
           -7.459498691448936,
           -7.234217024371827,
           -6.997127202320929,
           -6.74861621857444,
           -6.489089708766306,
           -6.218971288781603,
           -5.938701863303413,
           -5.648738906139792,
           -5.3495557135055645,
           -5.041640631477754,
           -4.7254962588856575,
           -4.4016386269366725,
           -4.07059635691692,
           -3.7329097973415353,
           -3.389130141963012,
           -3.0398185300772647,
           -2.685545130595925,
           -2.32688821137992,
           -1.9644331953534233,
           -1.5987717049388555,
           -1.23050059637266,
           -0.8602209854781067,
           -0.4885372664853249,
           -0.11605612550013134,
           0.25661444976813264,
           0.6288661624032739,
           1.0000913991836804,
           1.369684222367743,
           1.737041358744454,
           2.101563184334827,
           2.462654703136745,
           2.8197265183157816,
           3.17219579425667,
           3.5194872079051187,
           3.8610338878471855,
           4.196278339593279,
           4.524673355556604,
           4.845682908240596,
           5.158783025177555,
           5.463462644190246,
           5.759224447580486,
           6.045585673883153,
           6.322078905860509,
           6.588252833450753,
           6.843672990425347,
           7.087922463552797,
           7.320602573111272,
           7.541333523639318,
           7.749755023862495,
           7.94552687478397,
           8.128329524979259,
           8.297864592188631,
           8.45385535035585,
           8.596047181318271,
           8.724207990411005,
           8.83812858530678,
           8.937623017473122,
           9.022528885689548,
           9.092707601129273,
           9.148044613572836,
           9.188449598384343,
           9.21385660394515,
           9.224224159304347,
           9.21953534187032,
           9.199797805032878,
           9.165043765670925,
           9.115329951565965,
           9.050737508807382,
           8.971371869340569,
           8.877362578874097,
           8.768863085426883,
           8.64605048886045,
           8.509125251805107
          ],
          [
           -8.21474928688976,
           -8.390350050156679,
           -8.552255543660078,
           -8.700201494825338,
           -8.833946416741963,
           -8.953272002334057,
           -9.057983480695208,
           -9.147909935006108,
           -9.222904581515984,
           -9.282845009132489,
           -9.327633379228985,
           -9.357196585343036,
           -9.3714863725055,
           -9.370479416005379,
           -9.35417735946193,
           -9.32260681214184,
           -9.27581930552586,
           -9.213891209195815,
           -9.136923606179241,
           -9.045042127955167,
           -8.93839674939032,
           -8.81716154394048,
           -8.681534399516593,
           -8.531736695479351,
           -8.368012941289566,
           -8.190630377404059,
           -7.99987853906859,
           -7.796068783719768,
           -7.579533782767398,
           -7.350626978586778,
           -7.109722007607281,
           -6.857212090438919,
           -6.593509390032334,
           -6.319044338919882,
           -6.03426493663593,
           -5.739636018463159,
           -5.435638496698483,
           -5.122768575677012,
           -4.801536941835386,
           -4.47246793013648,
           -4.136098668216102,
           -3.792978199648667,
           -3.4436665877629196,
           -3.088734001470492,
           -2.7287597845994807,
           -2.3643315102521374,
           -1.9960440217302098,
           -1.6244984615933888,
           -1.250301290435701,
           -0.8740632969814626,
           -0.49639860111660106,
           -0.11792365148259809,
           0.2607437807306605,
           0.6389856101508398,
           1.0161844461018934,
           1.3917246003488828,
           1.7649930920639962,
           2.1353806483733035,
           2.5022826988512166,
           2.8651003623392595,
           3.2232414244784597,
           3.576121304359797,
           3.923164008714782,
           4.2638030720888,
           4.597482481462482,
           4.9236575838119885,
           5.24179597512675,
           5.551378369433571,
           5.851899446408668,
           6.14286867619402,
           6.4238111200718215,
           6.694268205690031,
           6.953798475573709,
           7.2019783077003465,
           7.438402606962995,
           7.66268546639262,
           7.874460797060284,
           8.073382925631098,
           8.259127158594492,
           8.43139031224987,
           8.589891207582594,
           8.73437112922246,
           8.864594247735603,
           8.98034800456048,
           9.08144345895965,
           9.167715596421022,
           9.239023598005147,
           9.295251070198985,
           9.336306234900881,
           9.3621220792267,
           9.372656464892565,
           9.36789219699569,
           9.347837052080996,
           9.312523765447736,
           9.262009977716836,
           9.196378140746162,
           9.11573538304728,
           9.020213334923397,
           8.909967913613919,
           8.78517906879627
          ],
          [
           -8.13974129159801,
           -8.331435476886574,
           -8.50953055657272,
           -8.673735832396515,
           -8.823783277930508,
           -8.959427976069732,
           -9.080448518801187,
           -9.18664736860025,
           -9.277851180864143,
           -9.353911086856174,
           -9.414702936698859,
           -9.460127502019361,
           -9.490110637916425,
           -9.504603403984465,
           -9.503582144197246,
           -9.48704852552077,
           -9.455029535192349,
           -9.407577436670298,
           -9.344769684326156,
           -9.266708797018664,
           -9.173522190755886,
           -9.065361970718595,
           -8.942404682984396,
           -8.804851026357849,
           -8.652925524776954,
           -8.486876160830718,
           -8.306973970986,
           -8.113512603184333,
           -7.90680783753084,
           -7.68719707085761,
           -7.455038766002852,
           -7.210711866704768,
           -6.954615179065175,
           -6.687166720592495,
           -6.408803037886661,
           -6.1199784940796285,
           -5.82116452719462,
           -5.512848880634606,
           -5.195534807056116,
           -4.869740246927834,
           -4.535996983114816,
           -4.194849772868228,
           -3.846855458637486,
           -3.4925820591561467,
           -3.1326078422851356,
           -2.767520381126704,
           -2.39791559494977,
           -2.024396776492103,
           -1.6475736072270553,
           -1.2680611622021913,
           -0.8864789060741953,
           -0.503449681978736,
           -0.11959869488580921,
           0.26444750890010904,
           0.64806206442928,
           1.0306188113160422,
           1.4114933157981466,
           1.7900638899777324,
           2.1657126065803842,
           2.537826307575818,
           2.9057976050138947,
           3.2690258724423864,
           3.626918225288123,
           3.9788904886014116,
           4.324368150583984,
           4.662787300344185,
           4.993595548348636,
           5.316252928068005,
           5.630232777345173,
           5.935022598047104,
           6.230124892597338,
           6.5150579760235425,
           6.789356762194779,
           7.052573522965031,
           7.304278618983908,
           7.5440612009816945,
           7.7715298803839605,
           7.986313368161223,
           8.188061080870806,
           8.37644371290171,
           8.551153773988455,
           8.71190609111648,
           8.858438273999926,
           8.990511143371934,
           9.107909121388476,
           9.21044058350838,
           9.297938171275252,
           9.370259065490734,
           9.427285219333191,
           9.46892355104134,
           9.495106095848296,
           9.505790116918043,
           9.500958175103243,
           9.480618157410547,
           9.444803264126907,
           9.393571954627934,
           9.327007851956733,
           9.245219606328991,
           9.148340717787102,
           9.036529318292782
          ],
          [
           -8.032939819783369,
           -8.240456492454264,
           -8.434522561280971,
           -8.61482125912641,
           -8.78105829084315,
           -8.932962313640909,
           -9.07028537998973,
           -9.192803342335925,
           -9.300316218970123,
           -9.392648520450313,
           -9.469649536047019,
           -9.531193579743046,
           -9.577180195386298,
           -9.60753432066079,
           -9.622206409608172,
           -9.621172513499857,
           -9.604434319927663,
           -9.572019150049227,
           -9.523979913992644,
           -9.460395024493145,
           -9.3813682689028,
           -9.28702863978209,
           -9.17753012434996,
           -9.05305145313596,
           -8.913795808244757,
           -8.759990491709214,
           -8.591886554473387,
           -8.409758386610989,
           -8.213903269448249,
           -8.004640890322172,
           -7.7823128207662915,
           -7.5472819589755975,
           -7.2999319374607445,
           -7.040666496858344,
           -6.769908826919499,
           -6.48810087575224,
           -6.19570262844535,
           -5.893191356251073,
           -5.581060837552251,
           -5.259820551885427,
           -4.929994848335543,
           -4.592122089659579,
           -4.246753773536198,
           -3.8944536323757046,
           -3.5357967131596997,
           -3.171368438812357,
           -2.801763652635423,
           -2.4275856473666675,
           -2.049445180446613,
           -1.6679594771009034,
           -1.2837512228655474,
           -0.8974475471994626,
           -0.5096789998434015,
           -0.12107852159602661,
           0.26771958881281255,
           0.6560807100653137,
           1.0433709341255353,
           1.428958100944894,
           1.8122128303145373,
           2.192509549180249,
           2.569227512743065,
           2.941751817678947,
           3.3094744058235595,
           3.6717950566840027,
           4.0281223671573265,
           4.377874716856797,
           4.72048121747014,
           5.055382644600202,
           5.38203235056706,
           5.699897156681539,
           6.008458223533843,
           6.307211897876629,
           6.595670534720296,
           6.873363293298543,
           7.139836905604978,
           7.394656416246379,
           7.637405892404874,
           7.8676891027502975,
           8.085130164194483,
           8.289374155431835,
           8.48008769626477,
           8.65695949176832,
           8.819700840405787,
           8.968046105265955,
           9.101753147652797,
           9.220603722319833,
           9.324403833704075,
           9.41298405257809,
           9.486199792603294,
           9.54393154633309,
           9.586085080280606,
           9.612591588732682,
           9.623407806058975,
           9.618516077332899,
           9.597924387149153,
           9.561666346590744,
           9.509801138366804,
           9.442413420210762,
           9.359613186696555,
           9.261535589698376
          ],
          [
           -7.895041899861017,
           -8.118006861498532,
           -8.32772108946633,
           -8.5238422746941,
           -8.706050295551401,
           -8.874047740370804,
           -9.027560392902375,
           -9.166337679907102,
           -9.290153080158667,
           -9.39880449418599,
           -9.492114574152998,
           -9.569931013337186,
           -9.63212679473446,
           -9.678600398384475,
           -9.709275967078046,
           -9.72410343017618,
           -9.723058585338588,
           -9.706143138028315,
           -9.67338469872796,
           -9.624836737872076,
           -9.560578498569289,
           -9.480714867256573,
           -9.385376202496875,
           -9.274718122199456,
           -9.148921249610323,
           -9.008190918487328,
           -8.85275683794119,
           -8.682872717489488,
           -8.498815852935637,
           -8.300886673748831,
           -8.0894082526837,
           -7.864725778440163,
           -7.6272059922241855,
           -7.377236589129175,
           -7.115225585315072,
           -6.841600652018089,
           -6.55680841747819,
           -6.261313737923686,
           -5.955598938802982,
           -5.640163027501896,
           -5.315520878831681,
           -4.982202394617174,
           -4.640751638756926,
           -4.291725949167059,
           -3.935695028058414,
           -3.573240012031917,
           -3.204952523509989,
           -2.8314337050523224,
           -2.453293238132268,
           -2.0711483479754698,
           -1.6856227960851078,
           -1.2973458620981768,
           -0.9069513166347556,
           -0.5150763868167554,
           -0.12236071614478194,
           0.2705546795691758,
           0.6630284585090658,
           1.0544199996941632,
           1.4440904486419242,
           1.8314037601474082,
           2.2157277364772154,
           2.596435059283376,
           2.9729043135527284,
           3.3445210019205613,
           3.7106785476927615,
           4.070779284939387,
           4.4242354340434815,
           4.770470061112814,
           5.108918019688563,
           5.439026873213736,
           5.760257796755729,
           6.0720864565110615,
           6.3740038656568,
           6.665517215151628,
           6.946150678130495,
           7.215446186579891,
           7.472964179025944,
           7.718284318014982,
           7.951006176215396,
           8.17074989002091,
           8.377156779588447,
           8.569889934298446,
           8.748634762682101,
           8.913099505917796,
           9.063015714058658,
           9.198138684213855,
           9.318247859968398,
           9.423147191389546,
           9.512665455032117,
           9.586656533420445,
           9.64499965355071,
           9.687599584024431,
           9.714386790491282,
           9.72531754914754,
           9.720374018104884,
           9.699564266513097,
           9.66292226138905,
           9.610507812173573,
           9.542406473106626,
           9.458729403580147
          ],
          [
           -7.726947507898206,
           -7.964885738476286,
           -8.189823169543978,
           -8.401392643738369,
           -8.59924882373676,
           -8.783068755938494,
           -8.952552397610624,
           -9.107423106636997,
           -9.24742809307131,
           -9.372338831757167,
           -9.481951435341543,
           -9.576086987072863,
           -9.654591832840438,
           -9.717337831978615,
           -9.764222566426207,
           -9.795169507899866,
           -9.810128142808463,
           -9.809074054704638,
           -9.792008964138883,
           -9.758960725851164,
           -9.709983283304604,
           -9.645156580635504,
           -9.564586432163363,
           -9.468404349673941,
           -9.356767327757238,
           -9.229857587550825,
           -9.087882279306758,
           -8.9310731442676,
           -8.75968613640344,
           -8.574001004627329,
           -8.37432083617109,
           -8.160971561866821,
           -7.934301424141595,
           -7.69468040859374,
           -7.442499640078513,
           -7.17817074428892,
           -6.902125175873761,
           -6.614813514189536,
           -6.316704727835822,
           -6.008285409174509,
           -5.690058980082411,
           -5.362544870233643,
           -5.026277669253064,
           -4.681806254124654,
           -4.329692893279143,
           -3.970512328823271,
           -3.6048508384087032,
           -3.2333052782718825,
           -2.856482109006835,
           -2.4749964056611247,
           -2.0894708537707625,
           -1.7005347329727432,
           -1.308822889854316,
           -0.9149747017154696,
           -0.519633032936136,
           -0.12344318565155299,
           0.2729481535514713,
           0.6688939691980255,
           1.0637479730254542,
           1.4568656588966775,
           1.847605354804602,
           2.2353292702505354,
           2.619404537286879,
           2.9992042435249906,
           3.3741084554219305,
           3.7435052301759457,
           4.106791614578916,
           4.463374629195403,
           4.812672236261903,
           5.154114289726348,
           5.4871434658772325,
           5.811216173043258,
           6.125803438878686,
           6.430391773786061,
           6.724484009066998,
           7.007600108432976,
           7.279277951551459,
           7.539074088348494,
           7.786564462836465,
           8.021345105285594,
           8.243032791609359,
           8.45126566888752,
           8.645703846005777,
           8.826029948447921,
           8.991949636334972,
           9.143192084865694,
           9.279510426374259,
           9.400682153283567,
           9.50650948129644,
           9.596819672231902,
           9.671465315979534,
           9.730324571111787,
           9.773301363761387,
           9.80032554443929,
           9.811353002537196,
           9.806365738327738,
           9.78537189234478,
           9.748405732095925,
           9.695527596128873,
           9.62682379554296
          ],
          [
           -7.529753694016433,
           -7.782092452066213,
           -8.021728777581165,
           -8.248271520716122,
           -8.461350903814408,
           -8.660619124982762,
           -8.845750925795983,
           -9.016444122204687,
           -9.172420097779561,
           -9.31342425848706,
           -9.439226448254185,
           -9.54962132464404,
           -9.644428694028983,
           -9.723493805714291,
           -9.786687604532187,
           -9.833906941494007,
           -9.865074742156626,
           -9.880140132428323,
           -9.87907852160876,
           -9.861891642527489,
           -9.82860754871553,
           -9.779280568614592,
           -9.71399121689868,
           -9.632846063052872,
           -9.535977557423728,
           -9.423543815025308,
           -9.295728357453672,
           -9.152739813331099,
           -8.99481157776901,
           -8.822201431405444,
           -8.635191119638895,
           -8.43408589274532,
           -8.219214007628985,
           -7.9909261920204,
           -7.749595071995925,
           -7.495614563753487,
           -7.2293992306372035,
           -6.95138360646037,
           -6.662021486231396,
           -6.361785185440361,
           -6.051164769115253,
           -5.730667251906259,
           -5.400815770503797,
           -5.062148729741125,
           -4.715218923775282,
           -4.360592633780867,
           -3.9988487036294345,
           -3.630577595063239,
           -3.256380423905551,
           -2.876867978880687,
           -2.4926597246453315,
           -2.1043827906584003,
           -1.712670947539973,
           -1.3181635725900382,
           -0.9215046061556986,
           -0.5233415005502694,
           -0.12432416323988504,
           0.27489610397729447,
           0.6736676680678578,
           1.0713396284005374,
           1.4672628791881306,
           1.8607911689998025,
           2.251282155614263,
           2.6380984544921477,
           3.0206086791560787,
           3.3981884717803723,
           3.7702215223080824,
           4.1361005744319606,
           4.495228416797337,
           4.847018857808935,
           5.190897682450572,
           5.5263035895558685,
           5.852689108000187,
           6.169521490318257,
           6.476283582288884,
           6.772474667067408,
           7.0576112824879615,
           7.331228010201578,
           7.59287823536198,
           7.842134875619104,
           8.078591078230428,
           8.301860884152203,
           8.511579858026689,
           8.707405683036995,
           8.889018719658647,
           9.05612252739582,
           9.208444348650572,
           9.345735553935405,
           9.4677720477023,
           9.574354634125921,
           9.665309342243857,
           9.740487709923244,
           9.799767026190212,
           9.843050531526645,
           9.8702675758073,
           9.881373733619487,
           9.876350876777092,
           9.855207203910567,
           9.817977227084604,
           9.764721715465312
          ],
          [
           -7.3047474226108395,
           -7.570819983156761,
           -7.824534963699396,
           -8.06547823430605,
           -8.293256511851597,
           -8.507498001960514,
           -8.707853005873632,
           -8.893994491248957,
           -9.06561862596492,
           -9.222445274054753,
           -9.364218452962437,
           -9.490706751373935,
           -9.601703706941628,
           -9.697028143285468,
           -9.77652446572073,
           -9.840062915229682,
           -9.887539780262603,
           -9.918877566022463,
           -9.934025120956921,
           -9.932957720251173,
           -9.915677106185402,
           -9.882211485290913,
           -9.832615482309606,
           -9.766970051031958,
           -9.685382342159041,
           -9.58798552840424,
           -9.47493858712016,
           -9.346426040805582,
           -9.202657655915921,
           -9.043868100468938,
           -8.870316561004461,
           -8.682286319523433,
           -8.480084291096787,
           -8.264040522898895,
           -8.034507655483312,
           -7.791860347180144,
           -7.536494662554613,
           -7.268827425924933,
           -6.989295540994835,
           -6.69835527771119,
           -6.396481527510822,
           -6.084167028172106,
           -5.761921559536636,
           -5.430271111413736,
           -5.08975702502601,
           -4.740935109397335,
           -4.384374734125569,
           -4.020657900020831,
           -3.6503782891262775,
           -3.274140295672039,
           -2.8925580395440433,
           -2.506254363877958,
           -2.1158598184145374,
           -1.722011630275691,
           -1.3253526638413513,
           -0.9265303714248336,
           -0.5261957364594432,
           -0.1250022109214175,
           0.2763953512765057,
           0.6773417631798109,
           1.077182574230538,
           1.4752651385036668,
           1.8709396799977958,
           2.2635603532414192,
           2.6524862974834678,
           3.037082682747534,
           3.416721746042235,
           3.7907838160363907,
           4.158658324526508,
           4.519744803045495,
           4.873453862986008,
           5.219208157638459,
           5.55644332457353,
           5.88460890683087,
           6.2031692514103876,
           6.511604383599606,
           6.809410855709849,
           7.096102568836011,
           7.371211566298485,
           7.634288797472189,
           7.8849048507559445,
           8.122650654485716,
           8.34713814464776,
           8.558000898301678,
           8.754894731679562,
           8.937498261984894,
           9.105513431974249,
           9.258665996465531,
           9.396705969978616,
           9.519408034777761,
           9.626571908649717,
           9.718022671817263,
           9.793611052454533,
           9.8532136703381,
           9.896733238236123,
           9.924098720706844,
           9.935265450047197,
           9.930215199202316,
           9.908956211516914,
           9.871523187279951
          ],
          [
           -7.053397173114329,
           -7.33244717898358,
           -7.599528692293801,
           -7.854205765396598,
           -8.096062697969828,
           -8.324704715550446,
           -8.53975861391082,
           -8.74087336822671,
           -8.92772070604257,
           -9.099995643099021,
           -9.257416981147795,
           -9.399727766941623,
           -9.526695711649879,
           -9.638113570015364,
           -9.733799478633374,
           -9.813597252800859,
           -9.877376641451148,
           -9.92503353975814,
           -9.956490159062898,
           -9.971695153845312,
           -9.970623705533566,
           -9.953277563014598,
           -9.91968503977948,
           -9.869900967708281,
           -9.804006607569967,
           -9.722109516383323,
           -9.624343371855476,
           -9.51086775418451,
           -9.381867885582409,
           -9.237554327943421,
           -9.078162639151374,
           -8.903952988586926,
           -8.715209732462354,
           -8.512240949677008,
           -8.295377938951113,
           -8.06497467805864,
           -7.821407246042,
           -7.565073209351589,
           -7.296390972912244,
           -7.015799097175753,
           -6.723755582274262,
           -6.420737120442936,
           -6.107238317932206,
           -5.783770887679584,
           -5.4508628140588495,
           -5.109057491069946,
           -4.758912835376298,
           -4.401000375637299,
           -4.035904319622413,
           -3.6642206006296316,
           -3.2865559047647697,
           -2.9035266806693105,
           -2.5157581333132493,
           -2.1238832034952493,
           -1.7285415347159154,
           -1.3303784291104863,
           -0.9300437941450959,
           -0.5281910817959818,
           -0.12547622194305236,
           0.27744344828109896,
           0.679910257439186,
           1.08126727328294,
           1.4808593750402035,
           1.8780343227452838,
           2.272143821867,
           2.662544581496805,
           3.0485993643696236,
           3.4296780270035523,
           3.8051585482606596,
           4.174428044649926,
           4.536883770715178,
           4.89193410287502,
           5.238999505108966,
           5.577513474913461,
           5.906923467983731,
           6.226691800112219,
           6.536296524831354,
           6.8352322853682095,
           7.123011139520373,
           7.399163356106625,
           7.663238181692449,
           7.914804576338803,
           8.153451917173278,
           8.37879066863519,
           8.590453018300632,
           8.788093477249578,
           8.971389443995161,
           9.140041731054605,
           9.293775053302294,
           9.432338477307887,
           9.555505830926032,
           9.663076072469103,
           9.754873618860394,
           9.830748632232122,
           9.890577264500447,
           9.934261859518298,
           9.96173111247602,
           9.972940186289673,
           9.967870784787017,
           9.9465311825717
          ],
          [
           -6.777343356123163,
           -7.068529754230108,
           -7.348178442797287,
           -7.615832961223414,
           -7.87105642656423,
           -8.11343224664099,
           -8.342564800029049,
           -8.558080081816637,
           -8.759626314079757,
           -8.946874520076772,
           -9.119519061225443,
           -9.277278135985892,
           -9.419894239835235,
           -9.547134585583052,
           -9.658791483341624,
           -9.754682679530752,
           -9.834651654363793,
           -9.898567877329317,
           -9.946327020251443,
           -9.977851127580989,
           -9.993088743639543,
           -9.99201499660874,
           -9.97463163912764,
           -9.940967045431968,
           -9.891076165039841,
           -9.825040433059648,
           -9.742967637266403,
           -9.644991742163597,
           -9.531272670317726,
           -9.401996041322352,
           -9.257372868817864,
           -9.097639216061413,
           -8.92305581060927,
           -8.733907618740506,
           -8.53050338031668,
           -8.313175104836755,
           -8.082277529509804,
           -7.838187540230089,
           -7.581303556399634,
           -7.312044880602414,
           -7.030851014191675,
           -6.738180939907503,
           -6.434512372695648,
           -6.120340979950417,
           -5.796179572454423,
           -5.462557267335797,
           -5.120018624409141,
           -4.769122757309914,
           -4.410442420873146,
           -4.044563076246103,
           -3.6720819352609095,
           -3.293606985626907,
           -2.9097559985339805,
           -2.521155520286605,
           -2.1284398496146317,
           -1.7322500023300489,
           -1.3332326650196644,
           -0.932039139481639,
           -0.5293242796287094,
           -0.12574542259346977,
           0.2780386842196234,
           0.6813689583842237,
           1.0835870582488472,
           1.4840364575245526,
           1.8820635169094035,
           2.277018551000665,
           2.6682568887531524,
           3.0551399257528193,
           3.4370361665880447,
           3.8133222556170834,
           4.183383994449327,
           4.546617344479447,
           4.902429412838132,
           5.2502394201500175,
           5.589479648519164,
           5.9195963681948065,
           6.240050741404693,
           6.55031970188082,
           6.849896808641875,
           7.13829307263882,
           7.415037754914334,
           7.6796791349732345,
           7.9317852481097795,
           8.170944590488276,
           8.396766790826147,
           8.60888324758309,
           8.80694773061623,
           8.99063694631929,
           9.159651065323205,
           9.313714211896961,
           9.452574914249709,
           9.576006514999229,
           9.683807541136709,
           9.77580203288396,
           9.851839830906307,
           9.91179682141232,
           9.955575138740343,
           9.983103325101126,
           9.994336447215842,
           9.989256169659058
          ],
          [
           -6.478387607432188,
           -6.7807901378216195,
           -7.072124625806126,
           -7.351915536469946,
           -7.6197061770677195,
           -7.875059442467808,
           -8.117558528623455,
           -8.346807612907185,
           -8.562432500197987,
           -8.764081233666705,
           -8.951424669262632,
           -9.124157012963646,
           -9.281996319912885,
           -9.424684954627322,
           -9.551990011526984,
           -9.663703695098445,
           -9.759643659072044,
           -9.839653304059212,
           -9.903602033164088,
           -9.951385465152166,
           -9.982925604828088,
           -9.998170970344415,
           -9.99709667723362,
           -9.979704479026108,
           -9.946022764388003,
           -9.896106510783333,
           -9.830037194736276,
           -9.747922658839922,
           -9.649896935728652,
           -9.53612002930144,
           -9.406777653553178,
           -9.26208092944034,
           -9.102266040275756,
           -8.92759384621499,
           -8.738349458463595,
           -8.53484177390025,
           -8.31740297087537,
           -8.0863879670082,
           -7.842173839867435,
           -7.58515921148091,
           -7.315763597679061,
           -7.0344267233341595,
           -6.741607804613056,
           -6.43778479941498,
           -6.123453627217863,
           -5.7991273596066275,
           -5.46533538280471,
           -5.122622533575761,
           -4.771548209905985,
           -4.412685457918714,
           -4.046620036511639,
           -3.6739494612433745,
           -3.295282029030116,
           -2.911235825244198,
           -2.5224377148353585,
           -2.129522319121401,
           -1.7331309799183765,
           -1.333910712701197,
           -0.9325131505032738,
           -0.5295934802791225,
           -0.12580937346602927,
           0.2781800875096595,
           0.681715485029289,
           1.0841381426258407,
           1.4847912001180514,
           1.8830206857799385,
           2.2781765837955597,
           2.669613895256684,
           3.056693690971577,
           3.438784154366355,
           3.815261612776716,
           4.185511555446608,
           4.548929636572286,
           4.904922661754449,
           5.2529095562483334,
           5.592322313431367,
           5.92260692194013,
           6.24322426996341,
           6.553651025215217,
           6.853380489151433,
           7.141923424035839,
           7.418808851505432,
           7.683584821331667,
           7.935819149122709,
           8.175100121762652,
           8.401037169436176,
           8.613261503141747,
           8.811426716652802,
           8.995209351944276,
           9.164309427161646,
           9.318450926270621,
           9.457382249588303,
           9.580876624460387,
           9.688732475414085,
           9.780773753182622,
           9.856850222064159,
           9.916837705146204,
           9.960638286995149,
           9.988180473480163,
           9.999419308470511
          ],
          [
           -6.158481029850922,
           -6.47110623167652,
           -6.773168877115146,
           -7.064175920061453,
           -7.343652360076554,
           -7.611142017714336,
           -7.86620827912694,
           -8.108434808734001,
           -8.337426228792392,
           -8.552808764757248,
           -8.754230855380861,
           -8.941363726553574,
           -9.11390192795007,
           -9.271563831605073,
           -9.414092091604632,
           -9.541254064142713,
           -9.6528421872574,
           -9.7486743196269,
           -9.828594037872337,
           -9.89247089188206,
           -9.940200617740732,
           -9.971705307915592,
           -9.986933538422164,
           -9.985860452761784,
           -9.968487802493982,
           -9.934843944377473,
           -9.884983794084437,
           -9.818988736563607,
           -9.736966493198526,
           -9.639050945977763,
           -9.525401918964103,
           -9.39620491741943,
           -9.251670825011072,
           -9.09203555959392,
           -8.917559688130083,
           -8.728528001374734,
           -8.525249049022285,
           -8.308054636071699,
           -8.077299281233003,
           -7.833359638259024,
           -7.576633881146867,
           -7.307541054212659,
           -7.0265203881004465,
           -6.7340305828416405,
           -6.430549059135275,
           -6.116571179071194,
           -5.792609437568153,
           -5.459192625846596,
           -5.116864968301558,
           -4.766185234184565,
           -4.407725825544481,
           -4.042071842915989,
           -3.6698201302808484,
           -3.291578300860669,
           -2.9079637453314984,
           -2.5196026240789973,
           -2.1271288451391075,
           -1.7311830294925534,
           -1.33241146540199,
           -0.931465053498685,
           -0.528998244340598,
           -0.12566797017599762,
           0.27786742734363185,
           0.680949271751272,
           1.0829196268984889,
           1.483122370881222,
           1.8809042670042035,
           2.2756160300359527,
           2.6666133860139807,
           3.053258123870215,
           3.4349191371602443,
           3.8109734541958753,
           4.18080725489967,
           4.543816872721606,
           4.8994097799824825,
           5.247005555035795,
           5.586036829669296,
           5.915950215199968,
           6.236207205750651,
           6.54628505723402,
           6.845677640609178,
           7.1338962680180416,
           7.410470490453168,
           7.674948865654905,
           7.926899694984537,
           8.165911728070608,
           8.39159483407825,
           8.603580638505886,
           8.80152312446979,
           8.985099197495156,
           9.15400921289169,
           9.307977464852986,
           9.446752636481298,
           9.57010821000316,
           9.677842836506297,
           9.769780664594284,
           9.845771627422517,
           9.905691687646987,
           9.949443039886024,
           9.976954270364534
          ],
          [
           -5.819711459539203,
           -6.14149915477979,
           -6.4532622995338835,
           -6.754492013916358,
           -7.044696611385579,
           -7.323402401305848,
           -7.590154462135779,
           -7.844517383980532,
           -8.08607597929588,
           -8.314435960584067,
           -8.529224583975267,
           -8.730091257644121,
           -8.916708114068303,
           -9.088770545195002,
           -9.24599769964182,
           -9.388132941120464,
           -9.51494426733505,
           -9.62622468867117,
           -9.721792566057697,
           -9.801491907449751,
           -9.865192622448982,
           -9.912790734645487,
           -9.944208551334807,
           -9.959394790332961,
           -9.958324663682525,
           -9.94099991811315,
           -9.907448832190415,
           -9.857726170157747,
           -9.791913092546686,
           -9.710117023701446,
           -9.612471476433978,
           -9.499135834095753,
           -9.370295090421997,
           -9.226159547573006,
           -9.0669644728654,
           -8.892969714753665,
           -8.704459278688773,
           -8.501740863546182,
           -8.285145359379918,
           -8.05502630732252,
           -7.811759322512431,
           -7.555741480990771,
           -7.287390671568248,
           -7.007144913720136,
           -6.715461642622662,
           -6.4128169624978515,
           -6.099704869485562,
           -5.7766364453111585,
           -5.444139023064997,
           -5.102755326455395,
           -4.75304258394005,
           -4.395571619181838,
           -4.030925919313687,
           -3.6597006825332805,
           -3.2825018465822273,
           -2.899945099695465,
           -2.512654875635243,
           -2.1212633344501457,
           -1.7264093306227166,
           -1.328737370290037,
           -0.9288965592393098,
           -0.5275395433955556,
           -0.12532144353093244,
           0.27710121406561933,
           0.6790715692128362,
           1.0799335000066579,
           1.4790326937846454,
           1.8757177151372408,
           2.2693410692226283,
           2.6592602586494882,
           3.044838832202652,
           3.4254474236997394,
           3.8004647792832023,
           4.169278771470877,
           4.531287398309871,
           4.8858997660029555,
           5.232537053403449,
           5.570633456804398,
           5.8996371134798204,
           6.21901100247058,
           6.528233821144614,
           6.826800836100633,
           7.114224707026511,
           7.390036282167518,
           7.6537853641060405,
           7.905041444602805,
           8.143394407300137,
           8.368455197140321,
           8.579856455406295,
           8.777253119348243,
           8.960322985417207,
           9.128767235186498,
           9.282310923102369,
           9.420703425267845,
           9.54371884852721,
           9.651156399183359,
           9.742840710746194,
           9.818622130177113,
           9.878376962162339,
           9.922007671016372
          ],
          [
           -5.464289839967131,
           -5.794120052565458,
           -6.114492729222165,
           -6.424884937019628,
           -6.724790033804316,
           -7.013718495160752,
           -7.291198713444802,
           -7.556777767572044,
           -7.810022162304717,
           -8.050518535830598,
           -8.277874334478755,
           -8.49171845347094,
           -8.691701842662708,
           -8.87749807628555,
           -9.048803885760051,
           -9.205339654710397,
           -9.34684987537224,
           -9.473103565648923,
           -9.583894646135345,
           -9.67904227649402,
           -9.758391150634342,
           -9.821811750213179,
           -9.869200556043058,
           -9.900480217062857,
           -9.91559967659517,
           -9.914534255684327,
           -9.897285693378961,
           -9.863882143893424,
           -9.814378130652665,
           -9.748854457295586,
           -9.66741807578214,
           -9.570201911819439,
           -9.457364647891872,
           -9.32909046424933,
           -9.185588738276325,
           -9.027093702732751,
           -8.853864063424087,
           -8.66618257692511,
           -8.464355589046406,
           -8.248712534797003,
           -8.019605400659346,
           -7.777408150054266,
           -7.522516112933815,
           -7.255345340498248,
           -6.976331926090463,
           -6.685931293376347,
           -6.384617452972949,
           -6.072882228737815,
           -5.751234454982406,
           -5.420199145919959,
           -5.08031663870349,
           -4.732141711452667,
           -4.376242677709256,
           -4.013200458799128,
           -3.6436076356150657,
           -3.2680674813680763,
           -2.887192976885972,
           -2.501605810066613,
           -2.1119353611188525,
           -1.7188176752476292,
           -1.3228944244600365,
           -0.9248118601869078,
           -0.5252197584296444,
           -0.12477035915393875,
           0.27588269833827195,
           0.6760854423210052,
           1.0751846360989927,
           1.4725288442626765,
           1.8674694960030702,
           2.2593619437507764,
           2.6475665154113,
           3.031449558479013,
           3.41038447432561,
           3.783752740974742,
           4.150944922693403,
           4.511361664752227,
           4.864414671730838,
           5.209527667771559,
           5.546137337213972,
           5.873694244075011,
           6.191663728873785,
           6.4995267813371935,
           6.796780887561948,
           7.082940850250109,
           7.357539580679384,
           7.620128861115418,
           7.870280076421642,
           8.107584913672518,
           8.331656028628183,
           8.542127677982677,
           8.738656316353712,
           8.920921157039585,
           9.088624695627885,
           9.241493195601358,
           9.379277135148282,
           9.501751614448043,
           9.608716722767106,
           9.699997864766189,
           9.775446045486017,
           9.834938113546498
          ],
          [
           -5.094535792428325,
           -5.431236057695358,
           -5.7590711096500895,
           -6.077505834805291,
           -6.386020463492594,
           -6.684111418264019,
           -6.971292135863537,
           -7.247093861426945,
           -7.511066413613738,
           -7.762778919422106,
           -8.001820517487591,
           -8.227801028717469,
           -8.440351593166193,
           -8.639125272112366,
           -8.823797614354454,
           -8.99406718580094,
           -9.149656061490468,
           -9.290310279238852,
           -9.415800254172533,
           -9.52592115347177,
           -9.62049323071199,
           -9.699362119257447,
           -9.762399084228417,
           -9.809501232630545,
           -9.840591681303419,
           -9.855619682414222,
           -9.854560706291604,
           -9.8374164814646,
           -9.80421499184121,
           -9.755010431031263,
           -9.689883113888119,
           -9.608939345413578,
           -9.512311247240033,
           -9.400156541973015,
           -9.272658295746199,
           -9.130024619409074,
           -8.972488328835015,
           -8.800306564904197,
           -8.613760373781721,
           -8.413154248175934,
           -8.198815630325834,
           -7.971094377528751,
           -7.73036219108073,
           -7.477012009561746,
           -7.211457367456031,
           -6.934131720154463,
           -6.645487736440755,
           -6.345996559616314,
           -6.036147038469796,
           -5.716444929346618,
           -5.387412070620902,
           -5.049585530917234,
           -4.7035167324727,
           -4.349770551069962,
           -3.9889243940106383,
           -3.6215672576339273,
           -3.2482987659188147,
           -2.8697281917392283,
           -2.486473462369585,
           -2.0991601508641007,
           -1.7084204549561761,
           -1.3148921651445042,
           -0.9192176236503754,
           -0.5220426759452951,
           -0.12401561656044435,
           0.27421386910144263,
           0.6719957652244241,
           1.0686807865770194,
           1.463621438317413,
           1.8561730728762076,
           2.245694942191738,
           2.631551243580297,
           3.0131121575342537,
           3.3897548757540106,
           3.760864617735807,
           4.125835634256087,
           4.484072196114366,
           4.834989566520827,
           5.178014955541357,
           5.512588455042168,
           5.838163952607934,
           6.15421002294162,
           6.460210795291115,
           6.755666795486666,
           7.0400957612148165,
           7.313033429198006,
           7.574034292994981,
           7.822672330185128,
           8.058541697749684,
           8.281257394514872,
           8.490455889575596,
           8.685795715674017,
           8.866958026564388,
           9.03364711745444,
           9.185590907673795,
           9.322541384781555,
           9.444275009388175,
           9.550593080030872,
           9.641322057506928,
           9.716313848135572
          ],
          [
           -4.712862477278955,
           -5.055215493859626,
           -5.389317062111287,
           -5.7146218399351945,
           -6.030598843920522,
           -6.336732316049686,
           -6.6325225655518185,
           -6.917486784530215,
           -7.191159836032477,
           -7.453095013277011,
           -7.702864768796614,
           -7.94006141230898,
           -8.164297776175031,
           -8.375207847358897,
           -8.572447364857943,
           -8.755694381627759,
           -8.924649790084873,
           -9.0790378103294,
           -9.218606440290763,
           -9.343127867061703,
           -9.452398838749177,
           -9.5462409962352,
           -9.624501164306064,
           -9.687051601674815,
           -9.73379020948878,
           -9.764640697981912,
           -9.779552710999855,
           -9.778501908194496,
           -9.761490004753853,
           -9.72854476860244,
           -9.679719975076662,
           -9.615095319149255,
           -9.534776285346013,
           -9.438893975567154,
           -9.32760489509436,
           -9.20109069713276,
           -9.059557886304887,
           -8.903237481580522,
           -8.732384639192645,
           -8.54727823615502,
           -8.34822041506115,
           -8.135536090907681,
           -7.909572420747217,
           -7.670698237036229,
           -7.419303445602946,
           -7.155798389217956,
           -6.88061317780632,
           -6.594196986394426,
           -6.297017321937597,
           -5.989559260225115,
           -5.672324654108289,
           -5.345831314343891,
           -5.010612164390109,
           -4.667214370534524,
           -4.316198448774078,
           -3.9581373499047565,
           -3.5936155243143837,
           -3.223227968005076,
           -2.847579251402424,
           -2.467282532536712,
           -2.082958556206905,
           -1.6952346407609717,
           -1.304743654146511,
           -0.9121229809028873,
           -0.518013481781171,
           -0.12305844768990926,
           0.2720974503257121,
           0.6668092133574612,
           1.0604325674428488,
           1.452325015190555,
           1.841846884506085,
           2.2283623727057322,
           2.6112405843146957,
           2.9898565608552987,
           3.363592300944455,
           3.731837769035361,
           4.093991891156774,
           4.449463536024691,
           4.7976724799248895,
           5.13805035379144,
           5.470041570935322,
           5.793104233908782,
           6.106711019025267,
           6.410350037091097,
           6.703525668943987,
           6.985759374434567,
           7.256590473530418,
           7.515576898267719,
           7.762295914323027,
           7.996344811027486,
           8.217341558697102,
           8.424925432206214,
           8.618757599786276,
           8.798521676088875,
           8.963924238610302,
           9.11469530663464,
           9.250588781913692,
           9.371382850364384,
           9.476880344127999,
           9.566909063400256
          ],
          [
           -4.32176084470402,
           -4.6685124191646885,
           -5.0076437469619135,
           -5.338601276099459,
           -5.660844796381716,
           -5.973848321179586,
           -6.2771009459797416,
           -6.570107682315879,
           -6.852390265720754,
           -7.123487936380277,
           -7.382958191215348,
           -7.630377506163882,
           -7.865342027484052,
           -8.087468230950405,
           -8.296393547866778,
           -8.491776956874286,
           -8.673299540588358,
           -8.840665006156215,
           -8.993600168885166,
           -9.131855398152247,
           -9.255205024867404,
           -9.363447709825127,
           -9.456406772343254,
           -9.533930478652566,
           -9.595892289566427,
           -9.64219106702618,
           -9.672751239185214,
           -9.687522923762184,
           -9.686482009462104,
           -9.669630195332335,
           -9.636994987989306,
           -9.588629656720432,
           -9.524613146534556,
           -9.445049949302831,
           -9.350069933200338,
           -9.2398281307269,
           -9.11450448565305,
           -8.974303559304207,
           -8.819454196662521,
           -8.650209152831344,
           -8.466844680472077,
           -8.26966007888677,
           -8.058977205482535,
           -7.83513995041516,
           -7.598513675269434,
           -7.3494846166924415,
           -7.088459255953236,
           -6.815863655457925,
           -6.532142763303167,
           -6.23775968700323,
           -5.9331949375760935,
           -5.61894564522239,
           -5.295524747877499,
           -4.963460153961185,
           -4.623293880691491,
           -4.275581169369324,
           -3.9208895790778264,
           -3.55979806027591,
           -3.192896009797997,
           -2.820782308802563,
           -2.4440643452397475,
           -2.063357022433587,
           -1.6792817553972434,
           -1.2924654565193592,
           -0.9035395122773107,
           -0.5131387526475057,
           -0.1219004148950189,
           0.2695368965661049,
           0.6605342525441326,
           1.0504534419709923,
           1.4386580136315161,
           1.8245143150200753,
           2.2073925266290386,
           2.5866676899807297,
           2.9617207277248925,
           3.3319394541366445,
           3.6967195743654173,
           4.05546567080396,
           4.407592174967293,
           4.7525243232953,
           5.089699095318851,
           5.418566132658048,
           5.738588637352652,
           6.049244248058254,
           6.350025892678135,
           6.640442616038994,
           6.920020381259584,
           7.188302843504276,
           7.44485209485846,
           7.689249379110073,
           7.921095775270441,
           8.140012848718825,
           8.345643268907777,
           8.53765139262107,
           8.715723811832186,
           8.879569865269072,
           9.028922112850195,
           9.163536772217467,
           9.283194116653513,
           9.387698833733767
          ],
          [
           -3.923783377796659,
           -4.2736506099848,
           -4.6165421143869825,
           -4.951898201404525,
           -5.279171481232346,
           -5.597827757343854,
           -5.90734689844094,
           -6.207223687445782,
           -6.496968646148682,
           -6.776108834165944,
           -7.044188620903629,
           -7.300770429267152,
           -7.54543544990279,
           -7.77778432480531,
           -7.997437799175802,
           -8.2040373404658,
           -8.397245723597196,
           -8.576747581402746,
           -8.742249919388655,
           -8.893482593979066,
           -9.03019875346181,
           -9.152175240915675,
           -9.259212958461482,
           -9.351137192242497,
           -9.427797897603615,
           -9.489069944003933,
           -9.534853319262862,
           -9.565073292806455,
           -9.579680537647462,
           -9.578651210900027,
           -9.561986992697555,
           -9.529715083450327,
           -9.4818881594472,
           -9.418584286874008,
           -9.339906794388884,
           -9.245984104462575,
           -9.136969523759028,
           -9.013040992898347,
           -8.874400796010683,
           -8.72127523055503,
           -8.55391423794195,
           -8.37259099556309,
           -8.177601470893459,
           -7.9692639383942465,
           -7.747918460004749,
           -7.513926330071371,
           -7.267669485619723,
           -7.009549882932406,
           -6.73998884145008,
           -6.459426356066725,
           -6.168320378941659,
           -5.867146072000502,
           -5.5563950313453,
           -5.2365744848396805,
           -4.908206464178877,
           -4.571826952795981,
           -4.227985010995235,
           -3.8772418797404726,
           -3.520170064561436,
           -3.1573524010733927,
           -2.7893811036353164,
           -2.4168567986994347,
           -2.0403875444300823,
           -1.6605878381919705,
           -1.2780776135280396,
           -0.8934812282639732,
           -0.5074264453911546,
           -0.12054340839148736,
           0.2665363873234059,
           0.6531811251796404,
           1.0387596987328043,
           1.4226427418005172,
           1.804203655754474,
           2.182819632295077,
           2.55787267003924,
           2.92875058326208,
           3.2948480011458594,
           3.655567355905248,
           4.010319858175942,
           4.358526458074573,
           4.699618790361258,
           5.033040102161913,
           5.358246161736185,
           5.674706146807525,
           5.981903511005524,
           6.279336827006155,
           6.5665206049937375,
           6.842986085108707,
           7.1082820025876305,
           7.361975324346634,
           7.603651955805877,
           7.832917416801415,
           8.04939748548112,
           8.252738809133684,
           8.44260948095369,
           8.61869958180127,
           8.780721686072082,
           8.928411330851901,
           9.061527447590018,
           9.179852755586852
          ],
          [
           -3.521527434049445,
           -3.8732070898046658,
           -4.218564647479617,
           -4.557036392224632,
           -4.888069848657411,
           -5.211124682648917,
           -5.525673583291566,
           -5.831203123610045,
           -6.127214598609877,
           -6.413224839295845,
           -6.688767001331554,
           -6.953391327052815,
           -7.206665879591068,
           -7.448177247908577,
           -7.677531221594537,
           -7.894353434320699,
           -8.098289974906217,
           -8.289007964994255,
           -8.46619610239749,
           -8.629565169225593,
           -8.778848503965296,
           -8.913802436742492,
           -9.034206687055885,
           -9.13986472333304,
           -9.230604083721843,
           -9.306276657593862,
           -9.366758927300049,
           -9.411952169784206,
           -9.44178261772511,
           -9.456201579944294,
           -9.455185520882914,
           -9.438736099018016,
           -9.40688016415545,
           -9.359669713603903,
           -9.297181807301527,
           -9.219518442033753,
           -9.126806384947573,
           -9.019196966634023,
           -8.89686583411666,
           -8.76001266414917,
           -8.608860837290111,
           -8.443657073286776,
           -8.264671028363335,
           -8.07219485507057,
           -7.866542725415675,
           -7.64805031805046,
           -7.417074270355039,
           -7.173991596311337,
           -6.919199071116569,
           -6.65311258354121,
           -6.3761664570885745,
           -6.088812741064,
           -5.791520472710869,
           -5.484774911617796,
           -5.169076747646682,
           -4.84494128367448,
           -4.5128975944826255,
           -4.1734876631671325,
           -3.8272654964788484,
           -3.47479622053796,
           -3.116655158398759,
           -2.7534268909702684,
           -2.3857043028256553,
           -2.0140876144578215,
           -1.639183402560882,
           -1.2616036099365882,
           -0.8819645466418871,
           -0.5008858840079591,
           -0.11898964317273375,
           0.26310082022204395,
           0.6447618335120733,
           1.0253704250091609,
           1.4043053408557578,
           1.7809480590755147,
           2.154683799164671,
           2.524902525576423,
           2.8909999434602023,
           3.252378485030679,
           3.608448284956379,
           3.9586281431758574,
           4.3023464735699015,
           4.639042236941182,
           4.968165856778588,
           5.289180116311385,
           5.601561035389053,
           5.904798725755422,
           6.198398223321122,
           6.481880296075865,
           6.754782226321779,
           7.016658565951062,
           7.267081863535044,
           7.505643362037972,
           7.731953666016553,
           7.945643377216271,
           8.146363697527029,
           8.33378699831388,
           8.507607355193585,
           8.667541047384098,
           8.813327020811904,
           8.944727314221284
          ],
          [
           -3.1176182939777526,
           -3.469795310550549,
           -3.8163087037324077,
           -4.156592872044503,
           -4.49009238175005,
           -4.816262873469028,
           -5.1345719507166345,
           -5.4445000489151125,
           -5.745541283460507,
           -6.0372042754601125,
           -6.319012953792752,
           -6.590507332182718,
           -6.851244260018996,
           -7.1007981456942435,
           -7.338761651282818,
           -7.564746357423969,
           -7.778383397324955,
           -7.9793240588491585,
           -8.167240353706514,
           -8.341825552817106,
           -8.502794686974134,
           -8.649885011989022,
           -8.782856437559374,
           -8.90149191915986,
           -9.00559781231625,
           -9.09500418868441,
           -9.16956511341828,
           -9.229158883374135,
           -9.2736882257623,
           -9.303080456922046,
           -9.317287600960563,
           -9.316286468062284,
           -9.30007869234081,
           -9.268690729171594,
           -9.222173812009778,
           -9.160603868763648,
           -9.084081397860217,
           -8.9927313042052,
           -8.886702695305205,
           -8.766168637884846,
           -8.63132587539609,
           -8.482394506880917,
           -8.319617627711494,
           -8.143260932794256,
           -7.953612282885549,
           -7.7509812347267815,
           -7.535698535765964,
           -7.308115584290425,
           -7.068603855851883,
           -6.8175542969201395,
           -6.555376686755062,
           -6.282498968538483,
           -5.999366550857782,
           -5.7064415806812905,
           -5.404202189012247,
           -5.093141710452592,
           -4.773767877950427,
           -4.446601994045628,
           -4.112178079966235,
           -3.771042003964617,
           -3.4237505903161685,
           -3.070870710434831,
           -2.7129783575890944,
           -2.350657706728651,
           -1.984500160956451,
           -1.6151033862024355,
           -1.243070335674726,
           -0.86900826568057,
           -0.4935277444234627,
           -0.11724165539442355,
           0.2592358030159376,
           0.6352901200515686,
           1.0103074756350312,
           1.3836757422841628,
           1.754785484265959,
           2.123030952356865,
           2.4878110725856377,
           2.8485304273450263,
           3.2046002272707264,
           3.555439272301293,
           3.900474900350344,
           4.23914392204247,
           4.570893539987235,
           4.895182251090659,
           5.21148073043146,
           5.5192726952592865,
           5.818055747704654,
           6.1073421948251365,
           6.386659844649167,
           6.655552776918222,
           6.913582087269196,
           7.160326603642403,
           7.395383573745724,
           7.618369322452831,
           7.828919878062466,
           8.02669156639647,
           8.211361571766925,
           8.38262846389671,
           8.540212689933407,
           8.683857030753483
          ],
          [
           -2.714692027506438,
           -3.066048096174974,
           -3.412399563660715,
           -3.7531810927903857,
           -4.0878364380028405,
           -4.4158193532888985,
           -4.736594483809274,
           -5.049638239735224,
           -5.354439650885575,
           -5.650501200765179,
           -5.937339638643382,
           -6.214486768346986,
           -6.481490212480194,
           -6.737914150824147,
           -6.983340031710745,
           -7.217367255209636,
           -7.439613827013236,
           -7.649716981952428,
           -7.847333776125253,
           -8.03214164667201,
           -8.203838938283159,
           -8.362145395580534,
           -8.506802620568212,
           -8.63757449440639,
           -8.754247562819739,
           -8.856631384511228,
           -8.944558842012686,
           -9.017886414464682,
           -9.07649441188053,
           -9.120287170511977,
           -9.149193208997751,
           -9.163165345040039,
           -9.16218077241846,
           -9.146241098215864,
           -9.115372340195137,
           -9.06962488433134,
           -9.009073402568468,
           -8.933816730935096,
           -8.84397770821785,
           -8.739702975456023,
           -8.621162736584635,
           -8.488550480616592,
           -8.342082665817472,
           -8.181998366388395,
           -8.00855888223371,
           -7.822047312450467,
           -7.622768093235838,
           -7.411046500966746,
           -7.187228121262809,
           -6.951678284899225,
           -6.704781471490377,
           -6.446940681917412,
           -6.17857678052427,
           -5.900127808155773,
           -5.612048267159161,
           -5.314808379516086,
           -5.008893319315993,
           -4.69480242082374,
           -4.3730483634340365,
           -4.044156334843112,
           -3.708663173803555,
           -3.3671164938614884,
           -3.0200737895065033,
           -2.668101526193215,
           -2.3117742157198906,
           -1.9516734784732652,
           -1.5883870940702949,
           -1.2225080419464178,
           -0.8546335334563011,
           -0.4853640370670349,
           -0.11530229823479088,
           0.2549476444351011,
           0.6247814451388956,
           0.9935954373265705,
           1.3607876190452324,
           1.7257586355655128,
           2.087912757686926,
           2.4466588541254684,
           2.801411356396162,
           3.15159121461564,
           3.4966268426646914,
           3.8359550511679057,
           4.169021966767677,
           4.495283936191947,
           4.814208413640108,
           5.12527483003856,
           5.427975442747062,
           5.721816164329001,
           6.0063173690327005,
           6.281014675667494,
           6.545459705596585,
           6.799220814609564,
           7.041883797479876,
           7.273052564057262,
           7.492349785791637,
           7.6994175116330315,
           7.893917752302363,
           8.075533031979301,
           8.24396690650675,
           8.398944447266095
          ],
          [
           -2.3153782899406306,
           -2.6646004598120117,
           -3.009473297189396,
           -3.349433878414806,
           -3.6839272979311435,
           -4.012407574034777,
           -4.33433854006206,
           -4.64919471955509,
           -4.956462183978211,
           -5.255639391585286,
           -5.546238006068446,
           -5.827783693652049,
           -6.09981689733082,
           -6.36189358698841,
           -6.613585984171939,
           -6.854483260339537,
           -7.084192207441161,
           -7.302337879738092,
           -7.50856420581353,
           -7.702534569775276,
           -7.883932360701893,
           -8.052461489435435,
           -8.207846871877233,
           -8.3498348779979,
           -8.478193745828573,
           -8.592713959757756,
           -8.693208592516172,
           -8.779513610291499,
           -8.851488140474935,
           -8.909014701602523,
           -8.95199939511598,
           -8.980372058629966,
           -8.994086380455645,
           -8.993119975193615,
           -8.977474420272785,
           -8.947175253375608,
           -8.902271930753825,
           -8.842837746502784,
           -8.768969712926099,
           -8.680788402185918,
           -8.578437749497278,
           -8.462084818187769,
           -8.331919527006018,
           -8.188154340124072,
           -8.031023920339688,
           -7.860784746044608,
           -7.677714692584,
           -7.482112578690433,
           -7.274297678732683,
           -7.05460920157555,
           -6.823405736901304,
           -6.5810646698965005,
           -6.327981565259586,
           -6.064569521534704,
           -5.79125849682565,
           -5.508494606990571,
           -5.216739397462909,
           -4.916469089887238,
           -4.6081738047996055,
           -4.292356761621228,
           -3.96953345727136,
           -3.6402308247399873,
           -3.3049863729938935,
           -2.9643473096198756,
           -2.618869647637303,
           -2.2691172979378322,
           -1.915661148833738,
           -1.5590781342172515,
           -1.199950291851874,
           -0.8388638133328858,
           -0.47640808726763373,
           -0.11317473723751403,
           0.25024334388816305,
           0.6132529617100988,
           0.9752615885490927,
           1.3356783306079163,
           1.6939148924661949,
           2.049386537334112,
           2.4015130414974455,
           2.749719641396078,
           3.0934379717901224,
           3.4321069934822486,
           3.7651739090820207,
           4.092095065317378,
           4.412336840420545,
           4.7253765151398435,
           5.030703125955705,
           5.327818299108269,
           5.616237064075103,
           5.895488645171354,
           6.165117229980114,
           6.424682713358831,
           6.6737614158072605,
           6.911946775024419,
           7.138850009525786,
           7.354100753237459,
           7.557347660031529,
           7.748258977215858,
           7.926523087042183,
           8.091849015348682
          ],
          [
           -1.9222831598008552,
           -2.268072406645102,
           -2.610159559623593,
           -2.947986242051849,
           -3.281001031459829,
           -3.6086603596592015,
           -3.9304293999903677,
           -4.245782940300972,
           -4.554206240231,
           -4.855195871405157,
           -5.148260539161086,
           -5.432921884472161,
           -5.708715264755889,
           -5.975190512293477,
           -6.23191266902257,
           -6.478462696503804,
           -6.714438159902359,
           -6.939453884867996,
           -7.153142586241458,
           -7.355155467560943,
           -7.545162790390174,
           -7.722854412538705,
           -7.887940294295971,
           -8.040150971852805,
           -8.179237997137598,
           -8.304974343349269,
           -8.41715477552501,
           -8.51559618553803,
           -8.600137890978422,
           -8.67064189742934,
           -8.726993123710386,
           -8.769099589720513,
           -8.796892566573877,
           -8.810326688783544,
           -8.809380028309974,
           -8.794054130353361,
           -8.764374010831474,
           -8.720388115547054,
           -8.662168241111459,
           -8.589809417753608,
           -8.503429754205529,
           -8.403170244917664,
           -8.289194539918661,
           -8.161688677695249,
           -8.020860781528233,
           -7.866940719780283,
           -7.700179730689978,
           -7.520850012284573,
           -7.329244278080845,
           -7.125675279299234,
           -6.910475294371177,
           -6.683995586572823,
           -6.446605830670511,
           -6.198693509513791,
           -5.9406632815609655,
           -5.672936320369501,
           -5.395949627129397,
           -5.110155317361721,
           -4.816019882946518,
           -4.5140234306847224,
           -4.204658898636926,
           -3.8884312515180994,
           -3.565856656461695,
           -3.237461640498371,
           -2.9037822311246897,
           -2.56536308136449,
           -2.222756580751147,
           -1.8765219536818143,
           -1.5272243466153137,
           -1.1754339056037155,
           -0.8217248456632027,
           -0.46667451350336187,
           -0.1108624451446758,
           0.24513058003748744,
           0.6007234872983638,
           0.9553358549914488,
           1.3083888619700592,
           1.6593062323765198,
           2.007515176276719,
           2.352447324604726,
           2.6935396568914105,
           3.0302354202626907,
           3.361985038207456,
           3.688247007631725,
           4.008488782734893,
           4.32218764426528,
           4.628831552736147,
           4.927919984209558,
           5.218964747283751,
           5.501490779950627,
           5.775036925022521,
           6.0391566828626955,
           6.293418940190794,
           6.53740867377369,
           6.770727627853175,
           6.99299496420462,
           7.2038478837656825,
           7.402942218820289,
           7.5899529947713535,
           7.764574960585243
          ],
          [
           -1.537972130529482,
           -1.8790518347226226,
           -2.2170644294838135,
           -2.5514581888849346,
           -2.8816872938940215,
           -3.20721272329624,
           -3.5275031335190485,
           -3.8420357259253937,
           -4.150297100159303,
           -4.451784092151035,
           -4.746004595413871,
           -5.032478364292026,
           -5.310737797848524,
           -5.580328703113585,
           -5.840811036447634,
           -6.091759621808867,
           -6.332764844752985,
           -6.563433321032259,
           -6.783388538702653,
           -6.9922714726908435,
           -7.189741170818099,
           -7.375475310324369,
           -7.549170723984249,
           -7.710543894956071,
           -7.859331419556332,
           -7.995290437204169,
           -8.11819902683403,
           -8.227856569129537,
           -8.324084073987258,
           -8.406724472675869,
           -8.475642874213872,
           -8.53072678554733,
           -8.57188629516828,
           -8.59905421987409,
           -8.6121862144282,
           -8.611260843943288,
           -8.59627961886866,
           -8.567266992524806,
           -8.524270321189107,
           -8.467359786797877,
           -8.396628282390887,
           -8.312191260485355,
           -8.214186544626912,
           -8.102774104425142,
           -7.9781357944408775,
           -7.84047505735146,
           -7.690016591878523,
           -7.527005986020249,
           -7.351709316186822,
           -7.164412712893375,
           -6.965421893719339,
           -6.755061664296509,
           -6.533675388140386,
           -6.301624426190115,
           -6.059287546971892,
           -5.807060308348589,
           -5.545354411864714,
           -5.274597030740652,
           -4.995230112613008,
           -4.7077096581592075,
           -4.412504976783842,
           -4.110097920581597,
           -3.800982097827264,
           -3.4856620672764866,
           -3.1646525145924946,
           -2.8384774122429883,
           -2.5076691642385374,
           -2.1727677371084746,
           -1.834319778532726,
           -1.4928777250682828,
           -1.1489989004266459,
           -0.8032446057741955,
           -0.45617920354024877,
           -0.1083691962283635,
           0.23961769826552137,
           0.5872134733188337,
           0.9338507607193267,
           1.278963756760048,
           1.6219891457805793,
           1.9623670196471295,
           2.2995417916706797,
           2.6329631034713343,
           2.96208672330874,
           3.2863754344121627,
           3.605299911860324,
           3.9183395865796222,
           4.22498349505049,
           4.524731113334989,
           4.817093174064189,
           5.101592465051911,
           5.377764608231165,
           5.645158817641965,
           5.9033386352331965,
           6.151882643277551,
           6.390385152236703,
           6.618456862953887,
           6.835725502093067,
           7.0418364297874465,
           7.236453218505502,
           7.4192582021896705
          ],
          [
           -1.1649533670714245,
           -1.5000776453173157,
           -1.8327534002124444,
           -2.1624376169624595,
           -2.4885921637542463,
           -2.81068467012933,
           -3.1281893959532456,
           -3.4405880895624357,
           -3.747370833687989,
           -4.04803687777546,
           -4.342095455342179,
           -4.629066585037909,
           -4.908481854101314,
           -5.179885182933455,
           -5.442833569540273,
           -5.696897812628978,
           -5.941663212178054,
           -6.176730246337327,
           -6.401715223553283,
           -6.616250908855111,
           -6.819987123279297,
           -7.012591315454272,
           -7.193749104412177,
           -7.363164792741738,
           -7.520561849244613,
           -7.665683360307439,
           -7.798292449252767,
           -7.918172662984443,
           -8.025128325296281,
           -8.11898485626738,
           -8.19958905722271,
           -8.26680936079386,
           -8.32053604567177,
           -8.360681415700908,
           -8.387179943022607,
           -8.399988375033836,
           -8.399085804986893,
           -8.384473706114735,
           -8.356175929226294,
           -8.31423866377563,
           -8.258730362468535,
           -8.189741629529625,
           -8.10738507281227,
           -8.011795119992833,
           -7.903127799149127,
           -7.781560484081355,
           -7.6472916047911665,
           -7.5005403235914265,
           -7.341546177375367,
           -7.17056868662905,
           -6.987886931825317,
           -6.793799097890648,
           -6.588621987488547,
           -6.372690503913799,
           -6.1463571044417655,
           -5.909991225024911,
           -5.663978677275638,
           -5.4087210187197385,
           -5.144634897348323,
           -4.872151371538137,
           -4.591715206450329,
           -4.30378414805608,
           -4.008828175974177,
           -3.707328736339981,
           -3.39977795595806,
           -3.0866778390211005,
           -2.7685394477063383,
           -2.4458820679869704,
           -2.119232362020113,
           -1.78912350849494,
           -1.4560943323440547,
           -1.1206884252387583,
           -0.783453258303688,
           -0.4449392884991932,
           -0.1056990601300476,
           0.23371369705298584,
           0.5727449716864879,
           0.9108413750874371,
           1.2474510445298503,
           1.582024544030662,
           1.9140157611745439,
           2.242882798513742,
           2.5680888580880135,
           2.889103117620811,
           3.2054015969616123,
           3.5164680133600643,
           3.8217946241759257,
           4.120883055649336,
           4.413245116378536,
           4.698403594177347,
           4.975893035011607,
           5.245260502743252,
           5.506066318441844,
           5.757884778056824,
           6.000304847279111,
           6.232930832457751,
           6.455383026476599,
           6.667298328536718,
           6.86833083683289,
           7.058152413156831
          ],
          [
           -0.805661336603094,
           -1.1336231730578783,
           -1.4597346367543826,
           -1.7834634275571484,
           -2.104281134482873,
           -2.4216640982068505,
           -2.735094265813466,
           -3.044060036395522,
           -3.3480570961221816,
           -3.6465892414124985,
           -3.93916918887086,
           -4.22531937066233,
           -4.504572714029617,
           -4.776473403679333,
           -5.040577625793059,
           -5.2964542924488445,
           -5.543685745270689,
           -5.781868437157434,
           -6.0106135909783465,
           -6.229547834160174,
           -6.438313808129923,
           -6.636570751618535,
           -6.823995056873371,
           -7.000280797871638,
           -7.165140229672536,
           -7.318304258093102,
           -7.459522878941046,
           -7.588565586087709,
           -7.705221747715015,
           -7.809300950122281,
           -7.90063330853173,
           -7.979069744385368,
           -8.044482228680604,
           -8.096763990947435,
           -8.135829693526091,
           -8.161615570860652,
           -8.174079533581295,
           -8.17320123720528,
           -8.158982115344521,
           -8.131445377365557,
           -8.090635970505723,
           -8.036620506507376,
           -7.969487152889918,
           -7.889345489037101,
           -7.796326327334485,
           -7.690581499649046,
           -7.572283609499417,
           -7.44162575032132,
           -7.29882119028801,
           -7.144103024200227,
           -6.977723793013862,
           -6.799955071626325,
           -6.611087025594525,
           -6.4114279375079395,
           -6.201303703789927,
           -5.981057302748597,
           -5.751048234745514,
           -5.5116519353960625,
           -5.263259162759249,
           -5.006275359517225,
           -4.741119991185646,
           -4.468225861435011,
           -4.1880384056406665,
           -3.901014963814466,
           -3.6076240341049757,
           -3.3083445080845975,
           -3.0036648890719073,
           -2.694082494765086,
           -2.3801026454879177,
           -2.0622378393734384,
           -1.741006915831445,
           -1.4169342086654186,
           -1.0905486902211003,
           -0.7623831079637604,
           -0.43297311489349033,
           -0.10285639521784784,
           0.2274282132909149,
           0.5573415988215857,
           0.8863452554970079,
           1.213902162358047,
           1.5394776599238114,
           1.8625403228972703,
           2.1825628275918736,
           2.499022812663214,
           2.8114037317408815,
           3.119195696568708,
           3.4218963092772094,
           3.7190114824297735,
           4.010056245503968,
           4.29455553649169,
           4.57204497732595,
           4.842071631868684,
           5.104194745222282,
           5.357986463158108,
           5.603032530487754,
           5.838932967237021,
           6.065302721519003,
           6.281772298040578,
           6.487988361216419,
           6.683614311906098
          ],
          [
           -0.4624409202420492,
           -0.7820800439743274,
           -1.1004426062860566,
           -1.4170089552977152,
           -1.7312623710248154,
           -2.0426899088015436,
           -2.350783236542097,
           -2.6550394644730466,
           -2.954961965982406,
           -3.2500611882455885,
           -3.539855451305057,
           -3.823871734299372,
           -4.101646447558302,
           -4.372726189303759,
           -4.6366684857213665,
           -4.893042513194727,
           -5.141429801523479,
           -5.381424916977304,
           -5.6126361240709866,
           -5.834686024980285,
           -6.047212175554991,
           -6.249867676923603,
           -6.442321741724001,
           -6.624260234035906,
           -6.7953861821337345,
           -6.955420263223006,
           -7.104101259368973,
           -7.241186483873376,
           -7.366452177403296,
           -7.479693873225552,
           -7.5807267309504685,
           -7.669385838240274,
           -7.7455264799896275,
           -7.809024374538947,
           -7.859775876534931,
           -7.897698146107183,
           -7.922729284084783,
           -7.934828433032099,
           -7.933975843938929,
           -7.920172908456104,
           -7.893442156623953,
           -7.853827220097305,
           -7.801392760927107,
           -7.736224366014854,
           -7.658428407412135,
           -7.568131868693314,
           -7.465482137684776,
           -7.350646765889012,
           -7.223813194996261,
           -7.085188450930122,
           -6.934998805926505,
           -6.773489409197502,
           -6.60092388678307,
           -6.417583911243615,
           -6.223768741895905,
           -6.019794736342737,
           -5.805994834093674,
           -5.582718013119747,
           -5.350328720229123,
           -5.1092062761935475,
           -4.859744256596571,
           -4.6023498494140975,
           -4.337443190375981,
           -4.065456677193395,
           -3.7868342637714627,
           -3.50203073555908,
           -3.2115109672188202,
           -2.9157491638285804,
           -2.615228086853483,
           -2.310438266151551,
           -2.0018771992992463,
           -1.6900485395439144,
           -1.375461273708487,
           -1.0586288913904176,
           -0.7400685468108996,
           -0.42030021468241063,
           -0.09984584147252429,
           0.22077150655075561,
           0.541028497101439,
           0.8604023860921997,
           1.1783718708909725,
           1.4944179412246594,
           1.8080247263411446,
           2.118680337046747,
           2.425877701244746,
           2.7291153916111157,
           3.0278984440564827,
           3.3217391656384216,
           3.6101579306052556,
           3.8926839632721317,
           4.168856106451385,
           4.438223574183032,
           4.700346687536629,
           4.954797592283543,
           5.201160957268196,
           5.439034652338308,
           5.66803040472765,
           5.887774432819851,
           6.097908056258826,
           6.298088281409963
          ],
          [
           -0.13753210943043648,
           -0.44774256680575775,
           -0.7572221899250113,
           -1.0654658262141643,
           -1.371970340556489,
           -1.6762354365421102,
           -1.9777644730840396,
           -2.2760652750677397,
           -2.5706509367110373,
           -2.8610406163231135,
           -3.1467603211652815,
           -3.4273436811324625,
           -3.7023327099924996,
           -3.9712785529408006,
           -4.233742219250052,
           -4.489295298819152,
           -4.737520661451787,
           -4.978013137723186,
           -5.210380180323776,
           -5.434242504800156,
           -5.649234708647631,
           -5.8550058677437145,
           -6.05122010914907,
           -6.237557159340973,
           -6.4137128669843655,
           -6.579399699387274,
           -6.734347211830171,
           -6.878302489003279,
           -7.011030557831225,
           -7.1323147710112185,
           -7.24195716063875,
           -7.339778761343544,
           -7.425619902408366,
           -7.499340468393852,
           -7.560820127843955,
           -7.6099585296986945,
           -7.646675467093621,
           -7.67091100827863,
           -7.682625594442417,
           -7.681800104282924,
           -7.66843588521836,
           -7.642554751187852,
           -7.6041989470453375,
           -7.553431079604785,
           -7.4903340154493225,
           -7.4150107456710685,
           -7.327584217762425,
           -7.22819713493328,
           -7.117011723181621,
           -6.9942094664978125,
           -6.8599908106347565,
           -6.714574835927398,
           -6.5581988996957135,
           -6.391118248814792,
           -6.21360560308445,
           -6.025950710078413,
           -5.828459872199653,
           -5.621455446713886,
           -5.405275319577283,
           -5.180272353917233,
           -4.946813814066444,
           -4.70528076609042,
           -4.456067455786906,
           -4.199580665172482,
           -3.936239048506778,
           -3.666472448938009,
           -3.390721196885308,
           -3.109435391303063,
           -2.823074165000397,
           -2.5321049352150453,
           -2.237002640664812,
           -1.9382489663220266,
           -1.6363315571762884,
           -1.331743222268913,
           -1.0249811302982863,
           -0.7165459981090678,
           -0.40694127338993313,
           -0.09667231291380718,
           0.21375444233799934,
           0.52383229382137,
           0.8330551124954035,
           1.1409181649588116,
           1.4469189373083062,
           1.7505579553741355,
           2.051339599994017,
           2.3487729159946484,
           2.6423724135603472,
           2.9316588606808294,
           3.2161600653845293,
           3.49541164648078,
           3.7689577915526735,
           4.036352000963474,
           4.297157816662065,
           4.5509495345978905,
           4.797312899582543,
           5.0358457814637445,
           5.2661588315080925,
           5.4878761179211395,
           5.700635739467474,
           5.904090416189236
          ],
          [
           0.16694461313023945,
           -0.13279275943906343,
           -0.43231337911339507,
           -0.7311283490455907,
           -1.02874992419544,
           -1.3246923074585553,
           -1.618472442615709,
           -1.9096108028083023,
           -2.1976321732529756,
           -2.482066426917802,
           -2.7624492918939083,
           -3.038323109209983,
           -3.30923757985272,
           -3.574750499773887,
           -3.834428481684245,
           -4.08784766245619,
           -4.334594394980467,
           -4.574265923347608,
           -4.806471040252079,
           -5.030830725546034,
           -5.246978764900416,
           -5.45456234756358,
           -5.653242642241705,
           -5.84269535016108,
           -6.022611234409429,
           -6.192696624692337,
           -6.352673896680797,
           -6.5022819251675426,
           -6.641276510292419,
           -6.769430776141118,
           -6.886535541066673,
           -6.992399659129207,
           -7.086850332096644,
           -7.169733391497118,
           -7.24091355026269,
           -7.300274623553596,
           -7.347719718402642,
           -7.383171391870137,
           -7.406571777451252,
           -7.417882679529452,
           -7.417085635721845,
           -7.404181947014669,
           -7.379192675639741,
           -7.342158610695329,
           -7.293140201567551,
           -7.232217459260996,
           -7.1594898257996125,
           -7.075076011911031,
           -6.979113803259269,
           -6.871759835542081,
           -6.753189338820114,
           -6.623595851495088,
           -6.483190904403964,
           -6.332203675544687,
           -6.170880615997094,
           -5.99948504764959,
           -5.818296733388197,
           -5.627611420449563,
           -5.427740357683262,
           -5.219009787511373,
           -5.001760413414606,
           -4.776346843814106,
           -4.543137013256781,
           -4.3025115818488056,
           -4.054863313917705,
           -3.8005964369170977,
           -3.5401259816206245,
           -3.273877104681994,
           -3.002284394666886,
           -2.7257911626895304,
           -2.4448487188117283,
           -2.1599156353855244,
           -1.8714569985418574,
           -1.5799436490470287,
           -1.2858514137660912,
           -0.9896603289875667,
           -0.6918538568773234,
           -0.3929180963404675,
           -0.09334098957941306,
           0.20638847435680274,
           0.5057810577319604,
           0.8043480726879779,
           1.1016021789127333,
           1.3970581791082846,
           1.6902338109611748,
           1.980650534322033,
           2.2678343123096147,
           2.5513163850643577,
           2.8306340348883894,
           3.105331341523183,
           3.3749599263319423,
           3.639079684172117,
           3.8972595017633487,
           4.149077961378328,
           4.394124028707974,
           4.631997723778087,
           4.862310773822435,
           5.0846872470465705,
           5.298764166247912,
           5.50419210129052
          ],
          [
           0.44900211258330547,
           0.1607138917980735,
           -0.1278366565527227,
           -0.41617854167890034,
           -0.7038411133838274,
           -0.990354830289986,
           -1.2752520262546643,
           -1.5580676737247514,
           -1.838340142784649,
           -2.1156119546583687,
           -2.389430528435851,
           -2.659348919804676,
           -2.924926550581351,
           -3.1857299278514115,
           -3.4413333515444693,
           -3.6913196092892804,
           -3.9352806574146646,
           -4.17281828698465,
           -4.403544773780765,
           -4.627083511170459,
           -4.843069624828724,
           -5.051150568309462,
           -5.250986698494495,
           -5.44225182998095,
           -5.624633767502068,
           -5.797834815512449,
           -5.961572264105866,
           -6.11557885047261,
           -6.2596031951430495,
           -6.393410212305386,
           -6.516781493527871,
           -6.62951566425911,
           -6.731428712524571,
           -6.822354289282785,
           -6.902143979950971,
           -6.970667546656866,
           -7.0278131408213795,
           -7.0734874857250425,
           -7.107616028760276,
           -7.130143063120963,
           -7.141031818730683,
           -7.1402645222612,
           -7.127842426143229,
           -7.103785806522147,
           -7.068133930161958,
           -7.020944990351543,
           -6.962296011917843,
           -6.892282725500962,
           -6.811019411296456,
           -6.7186387125198355,
           -6.615291418897763,
           -6.501146220539357,
           -6.376389432589323,
           -6.241224691112378,
           -6.095872620705345,
           -5.940570474379485,
           -5.775571746300841,
           -5.60114575802074,
           -5.4175772188718065,
           -5.225165761247049,
           -5.024225451520584,
           -4.815084277408245,
           -4.598083612604942,
           -4.373577659572491,
           -4.141932871387578,
           -3.90352735359342,
           -3.6587502470315494,
           -3.4080010926610806,
           -3.1516891794022013,
           -2.8902328760684597,
           -2.624058948478216,
           -2.353601862860007,
           -2.0793030766887703,
           -1.801610318110523,
           -1.5209768551316567,
           -1.2378607557656789,
           -0.9527241403451248,
           -0.6660324272189633,
           -0.37825357306679974,
           -0.08985730906985445,
           0.19868562581455151,
           0.48690425322341513,
           0.7743281241492936,
           1.0604880868374549,
           1.3449170525656058,
           1.6271507580561853,
           1.9067285232767759,
           2.1831940033917463,
           2.4560959336376604,
           2.724988865906716,
           2.989433895835807,
           3.2489993792145246,
           3.5032616365426223,
           3.7518056445869763,
           3.9942257138092625,
           4.2301261505585295,
           4.459121902947871,
           4.680839189360918,
           4.894916108562259,
           5.101003230415955
          ],
          [
           0.706799570740654,
           0.4308618470495045,
           0.15422084290034643,
           -0.1226718904417603,
           -0.39936439082315145,
           -0.6754050229232922,
           -0.9503432154430476,
           -1.2237301965561778,
           -1.4951197264236002,
           -1.7640688255748138,
           -2.0301384979675205,
           -2.2928944475452386,
           -2.551907787123289,
           -2.8067557384461006,
           -3.057022322273096,
           -3.302299037366801,
           -3.542185527274885,
           -3.776290233817736,
           -4.004231036214957,
           -4.225635874807497,
           -4.440143358357405,
           -4.647403353933884,
           -4.847077558422798,
           -5.0388400507268285,
           -5.222377823754854,
           -5.397391295332314,
           -5.563594797198501,
           -5.720717041292717,
           -5.868501562568113,
           -6.006707137610448,
           -6.1351081783784975,
           -6.253495100423374,
           -6.361674664985765,
           -6.459470294412686,
           -6.546722360378894,
           -6.6232884444425295,
           -6.689043570509657,
           -6.743880408828309,
           -6.78770945117901,
           -6.820459156975865,
           -6.842076070039704,
           -6.852524905852707,
           -6.851788609152065,
           -6.839868381768675,
           -6.816783680665441,
           -6.782572186178359,
           -6.737289740512247,
           -6.681010256591508,
           -6.613825597414685,
           -6.535845426109763,
           -6.44719702693495,
           -6.348025097517108,
           -6.238491512666971,
           -6.118775060156645,
           -5.9890711488907025,
           -5.849591489947175,
           -5.700563751009091,
           -5.5422311847506345,
           -5.374852231784449,
           -5.198700098818226,
           -5.014062312709129,
           -4.821240251143922,
           -4.62054865071092,
           -4.412315093166631,
           -4.196879470735739,
           -3.974593431317105,
           -3.7458198045014246,
           -3.5109320093374046,
           -3.270313444813128,
           -3.024356864047548,
           -2.7734637332135326,
           -2.518043576238938,
           -2.25851330635526,
           -1.995296545585008,
           -1.7288229332785723,
           -1.4595274248291767,
           -1.1878495817106938,
           -0.914232853997079,
           -0.6391238565346047,
           -0.3629716399483529,
           -0.08622695767283872,
           0.19065846979675483,
           0.46723269223188124,
           0.7430442673728876,
           1.017642997802163,
           1.2905806657853516,
           1.561411764881203,
           1.8296942271258954,
           2.094990144604818,
           2.3568664842341005,
           2.6148957945850744,
           2.868656903598053,
           3.1177356060464825,
           3.3617253396293796,
           3.6002278485885313,
           3.8328538337671727,
           4.0592235880491545,
           4.2789676161413555,
           4.491727237687691,
           4.697155172730298
          ],
          [
           0.9386544999862934,
           0.6758880144971604,
           0.41201830105769055,
           0.14747606480966757,
           -0.11730689137008543,
           -0.38189837168615526,
           -0.6458664928823756,
           -0.9087803891894874,
           -1.1702109156119875,
           -1.4297313484062446,
           -1.6869180816064757,
           -1.9413513184616877,
           -2.192615756654963,
           -2.440301266186667,
           -2.684003558815039,
           -2.923324847961494,
           -3.157874498003516,
           -3.3872696618952607,
           -3.611135906075182,
           -3.829107821640587,
           -4.040829620791602,
           -4.245955717570926,
           -4.444151291951483,
           -4.635092836351253,
           -4.818468683683162,
           -4.993979516078197,
           -5.161338853451292,
           -5.320273521112587,
           -5.470524095660753,
           -5.61184532843056,
           -5.744006545803566,
           -5.866792025728441,
           -5.980001349836396,
           -6.0834497305769535,
           -6.176968312840092,
           -6.260404449572433,
           -6.3336219509375855,
           -6.396501306613976,
           -6.448939880867291,
           -6.490852080079135,
           -6.522169492458442,
           -6.542840999707613,
           -6.552832860461089,
           -6.552128765360187,
           -6.540729863674281,
           -6.518654761424891,
           -6.485939491015735,
           -6.442637452418325,
           -6.3888193260090915,
           -6.32457295720031,
           -6.250003213053181,
           -6.165231811107039,
           -6.070397120704159,
           -5.965653937134398,
           -5.851173228968351,
           -5.727141858991444,
           -5.593762279194451,
           -5.451252200318326,
           -5.2998442364927,
           -5.139785525548121,
           -4.971337325621772,
           -4.794774588715099,
           -4.610385511899465,
           -4.418471066902307,
           -4.2193445088417185,
           -4.013330864911246,
           -3.800766403849585,
           -3.581998087061089,
           -3.3573830022830013,
           -3.1272877807238704,
           -2.8920879986244574,
           -2.6521675642180247,
           -2.4079180910905746,
           -2.1597382589639373,
           -1.9080331629450593,
           -1.6532136523036591,
           -1.3956956598576067,
           -1.1358995230605733,
           -0.8742492979001701,
           -0.6111720667264655,
           -0.3470972411406401,
           -0.08245586108174097,
           0.18232010874449456,
           0.44679848394623045,
           0.7105475658847538,
           0.9731368463207888,
           1.2341377101177637,
           1.4931241348550657,
           1.749673386209249,
           2.0033667079682527,
           2.2537900055522355,
           2.500534521925442,
           2.7431975047957535,
           2.9813828640129123,
           3.214701818092396,
           3.4427735288095804,
           3.6652257228284277,
           3.8816952993500036,
           4.091828922788979,
           4.29528359951074
          ],
          [
           1.1430537238523528,
           0.8941932569917901,
           0.643873230303333,
           0.3925022322573235,
           0.14049056678726002,
           -0.11175041643472561,
           -0.3638089934293096,
           -0.6152737379523505,
           -0.8657341930513152,
           -1.1147815410395538,
           -1.362009270794863,
           -1.607013841293118,
           -1.8493953402939178,
           -2.0887581371031163,
           -2.3247115283467124,
           -2.5568703757020605,
           -2.784855734545458,
           -3.0082954724899538,
           -3.2268248768038132,
           -3.440087249718112,
           -3.6477344906518265,
           -3.849427664404016,
           -4.044837554385681,
           -4.233645199988296,
           -4.415542417211848,
           -4.590232301702622,
           -4.757429713379599,
           -4.91686174185847,
           -5.068268151913543,
           -5.2114018082504305,
           -5.346029078896205,
           -5.471930216548553,
           -5.588899717261464,
           -5.69674665588202,
           -5.795294997690723,
           -5.884383885736701,
           -5.963867903398784,
           -6.033617311743879,
           -6.09351826129522,
           -6.143472977864802,
           -6.183399922146723,
           -6.213233922810883,
           -6.232926282879827,
           -6.242444859215093,
           -6.241774114983304,
           -6.230915145016402,
           -6.209885674024573,
           -6.178720027664857,
           -6.137469076512579,
           -6.086200153027129,
           -6.024996941647586,
           -5.953959342197586,
           -5.87320330682239,
           -5.782860650724329,
           -5.6830788370055405,
           -5.574020735969198,
           -5.4558643592721,
           -5.328802569362595,
           -5.19304276467806,
           -5.048806541115812,
           -4.8963293303300235,
           -4.735860015444995,
           -4.5676605248121085,
           -4.392005404473484,
           -4.209181370030263,
           -4.019486838646921,
           -3.8232314419555635,
           -3.6207355206552285,
           -3.412329601631162,
           -3.1983538584475557,
           -2.9791575560943317,
           -2.755098480894347,
           -2.5265423565014995,
           -2.293862246943024,
           -2.057437947680375,
           -1.8176553656825885,
           -1.5749058895240946,
           -1.3295857505350557,
           -1.082095376047084,
           -0.8328387357899598,
           -0.5822226825062056,
           -0.3306562878598531,
           -0.07855017472330772,
           0.1736841530677351,
           0.4256349823973671,
           0.6768910628941316,
           0.9270422782003549,
           1.175680315390502,
           1.4223993314458094,
           1.666796615697423,
           1.9084732471566666,
           2.147034745659594,
           2.382091715762915,
           2.613260482340301,
           2.8401637168416674,
           3.062431053193113,
           3.2796996923322923,
           3.4916149943924113,
           3.6978310575682523,
           3.8980112827193882
          ],
          [
           1.3186632526039097,
           1.0843528286509976,
           0.8482724541693942,
           0.610807474751955,
           0.37234549603290246,
           0.13327575101293299,
           -0.10601153527196105,
           -0.34512578270091954,
           -0.5836766935982456,
           -0.8212748898024138,
           -1.057532548234187,
           -1.2920640339264238,
           -1.5244865294823016,
           -1.7544206599345427,
           -1.9814911119856635,
           -2.2053272466185057,
           -2.425563704077128,
           -2.6418410002305164,
           -2.8538061133457515,
           -3.0611130603128007,
           -3.2634234613804534,
           -3.4604070924815367,
           -3.651742424245901,
           -3.837117146821382,
           -4.01622867964604,
           -4.18878466533966,
           -4.35450344690828,
           -4.513114527482891,
           -4.664359011841846,
           -4.807990028996309,
           -4.943773135148991,
           -5.071486696368418,
           -5.190922250354099,
           -5.301884846702127,
           -5.404193365115787,
           -5.497680811041763,
           -5.5821945882494095,
           -5.657596747908142,
           -5.723764213756414,
           -5.780588982994702,
           -5.827978302574648,
           -5.865854820596546,
           -5.894156712568105,
           -5.912837782318359,
           -5.921867537402039,
           -5.921231238871303,
           -5.910929925333594,
           -5.890980411256365,
           -5.861415259521415,
           -5.822282728273658,
           -5.773646692151072,
           -5.715586538024401,
           -5.648197035416794,
           -5.571588181814874,
           -5.485885023123769,
           -5.391227449559125,
           -5.287769967309287,
           -5.175681446340346,
           -5.0551448447557075,
           -4.92635691016008,
           -4.789527858515381,
           -4.644881031012685,
           -4.492652529520359,
           -4.333090831203379,
           -4.166456382942906,
           -3.9930211762180985,
           -3.8130683031441084,
           -3.626891494390905,
           -3.434794639737141,
           -3.237091292041696,
           -3.0341041554424932,
           -2.826164558618033,
           -2.6136119139713747,
           -2.396793163619348,
           -2.1760622130913014,
           -1.951779353661677,
           -1.724310674259411,
           -1.4940274639139868,
           -1.2613056057135728,
           -1.0265249632644449,
           -0.790068760653122,
           -0.552322956923351,
           -0.31367561608887584,
           -0.07451627371038061,
           0.16476469892956214,
           0.4037767320156327,
           0.6421296947129647,
           0.8794345319638412,
           1.115303899528397,
           1.3493527962328562,
           1.5811991923932234,
           1.8104646533887605,
           2.036774957367342,
           2.25976070607445,
           2.4790579278088245,
           2.694308671520498,
           2.90516159108156,
           3.1112725187759396,
           3.3123050270721124,
           3.5079309777617915
          ],
          [
           1.464336989380714,
           1.24512567331129,
           1.0238819829209476,
           0.8009670464111607,
           0.5767447198989619,
           0.35158099350756,
           0.12584339397367827,
           -0.10009961525326361,
           -0.32587923544090014,
           -0.5511269345509842,
           -0.7754750487811211,
           -0.9985573826892868,
           -1.2200098069216292,
           -1.4394708525678523,
           -1.6565823011740508,
           -1.8709897694499364,
           -2.082343287716083,
           -2.2902978711469655,
           -2.494514082877425,
           -2.6946585880533673,
           -2.890404697922396,
           -3.0814329030762297,
           -3.267431394974532,
           -3.4480965748989068,
           -3.6231335495062647,
           -3.7922566121727503,
           -3.955189709342477,
           -4.111666891119933,
           -4.261432745370532,
           -4.4042428146207335,
           -4.539863995077298,
           -4.668074917114301,
           -4.788666306606889,
           -4.901441326521998,
           -5.006215898208426,
           -5.102819001861875,
           -5.1910929556744785,
           -5.27089367321321,
           -5.342090898607045,
           -5.40456841915897,
           -5.458224255035845,
           -5.502970825726449,
           -5.538735092996032,
           -5.565458680104026,
           -5.58309796709032,
           -5.591624161974573,
           -5.591023347752333,
           -5.58129650511127,
           -5.562459510830438,
           -5.534543111865169,
           -5.49759287515991,
           -5.451669113270933,
           -5.396846785920282,
           -5.333215377641692,
           -5.260878751718175,
           -5.179954980649672,
           -5.090576153427517,
           -4.992888159930277,
           -4.887050452792896,
           -4.773235787137834,
           -4.65162993859303,
           -4.522431400056954,
           -4.385851057705718,
           -4.24211184677107,
           -4.091448387651157,
           -3.9341066029479936,
           -3.770343316056752,
           -3.6004258319620823,
           -3.424631500925686,
           -3.243247265777372,
           -3.0565691935484716,
           -2.8649019922121726,
           -2.6685585133195353,
           -2.4678592413430334,
           -2.263131770561175,
           -2.054710270337999,
           -1.8429349396703358,
           -1.6281514518930735,
           -1.4107103904488882,
           -1.1909666766433742,
           -0.96927899031961,
           -0.7460091843978334,
           -0.5215216942357896,
           -0.2961829427738749,
           -0.07036074243600332,
           0.15557630523752053,
           0.38125941124516327,
           0.6063202010853459,
           0.8303913160410104,
           1.053107012806199,
           1.2741037604758145,
           1.4930208339241977,
           1.7095009026039025,
           1.9231906138036203,
           2.1337411694132555,
           2.34080889525465,
           2.544055802048721,
           2.7431501371033282,
           2.9377669258213834,
           3.1275885021453242
          ],
          [
           1.579124210076126,
           1.3754625241487828,
           1.1695557196977537,
           0.961739891071455,
           0.7523542486505188,
           0.5417405651667675,
           0.3302426178397395,
           0.11820562724136785,
           -0.0940243061952577,
           -0.30610076710332557,
           -0.5176775906237725,
           -0.7284094274378559,
           -0.9379523074685601,
           -1.1459642013307123,
           -1.3521055786133749,
           -1.5560399620832426,
           -1.7574344769044665,
           -1.9559603939783918,
           -2.151293666516376,
           -2.3431154589698124,
           -2.5311126674540656,
           -2.7149784308167924,
           -2.89441263151647,
           -3.0691223854935954,
           -3.2388225202348915,
           -3.403236040250271,
           -3.5620945792026975,
           -3.7151388379530195,
           -3.8621190078047243,
           -4.002795178257772,
           -4.13693772860598,
           -4.264327702738722,
           -4.384757166535192,
           -4.498029547267876,
           -4.603959954461212,
           -4.702375481681741,
           -4.793115488767113,
           -4.876031864033317,
           -4.950989266032108,
           -5.017865344464033,
           -5.076550939886472,
           -5.126950261890713,
           -5.168981045457226,
           -5.202574685233926,
           -5.227676347518244,
           -5.244245059760236,
           -5.252253777440609,
           -5.2516894282145365,
           -5.242552933249173,
           -5.22485920572007,
           -5.198637126468931,
           -5.163929496862441,
           -5.120792968929117,
           -5.06929795288822,
           -5.00952850222166,
           -4.941582176476489,
           -4.865569882021921,
           -4.781615691020821,
           -4.689856638911124,
           -4.590442500727761,
           -4.483535546630217,
           -4.369310277034705,
           -4.247953137783366,
           -4.119662215815338,
           -3.984646915836515,
           -3.843127618515683,
           -3.695335320765002,
           -3.5415112586919766,
           -3.3819065138383295,
           -3.216781603348549,
           -3.0464060547370164,
           -2.8710579659478492,
           -2.6910235514255136,
           -2.5065966749371738,
           -2.3180783699093364,
           -2.1257763480616854,
           -1.930004497140211,
           -1.7310823685693975,
           -1.5293346558598149,
           -1.3250906646224627,
           -1.1186837750549263,
           -0.9104508977767645,
           -0.7007319239022785,
           -0.48986917024835996,
           -0.2782068205829189,
           -0.06609036382597733,
           0.14613396987959426,
           0.3581197743072302,
           0.5695210325732054,
           0.7799926819277001,
           0.9891911769884243,
           1.1967750504975374,
           1.4024054706864901,
           1.605746794339053,
           1.8064671146498124,
           2.0042388029838163,
           2.198739043653148,
           2.3896503608374773,
           2.576661136788541,
           2.7594661204727093
          ],
          [
           1.6622757681365896,
           1.4745127516071967,
           1.2843429403931657,
           1.0920767419089459,
           0.8980279854273232,
           0.7025134098270618,
           0.5058521465912946,
           0.30836519890057357,
           0.11037491767080176,
           -0.08779552460869855,
           -0.28582266137813317,
           -0.48338325999019993,
           -0.680154849311216,
           -0.8758162460792844,
           -1.0700480791603089,
           -1.2625333108461056,
           -1.4529577543437942,
           -1.6410105866117015,
           -1.8263848557047635,
           -2.0087779818012432,
           -2.1878922510930208,
           -2.3634353017332415,
           -2.535120601048144,
           -2.702667913234162,
           -2.865803756776834,
           -3.024261850844964,
           -3.1777835499313283,
           -3.326118266030544,
           -3.4690238776649487,
           -3.606267125090862,
           -3.7376239910401767,
           -3.862880066375764,
           -3.981830900063878,
           -4.094282332892301,
           -4.200050814389519,
           -4.298963702427623,
           -4.390859545019904,
           -4.475588343853187,
           -4.553011799124748,
           -4.623003535284144,
           -4.68544930731154,
           -4.74024718719578,
           -4.787307730307857,
           -4.8265541213981935,
           -4.8579222999794425,
           -4.8813610648901395,
           -4.896832157868538,
           -4.9043103260002034,
           -4.903783362937454,
           -4.89525212882334,
           -4.878730548887669,
           -4.854245590717346,
           -4.821837220238141,
           -4.781558336479732,
           -4.733474685230499,
           -4.67766475172302,
           -4.614219632525409,
           -4.54324288684764,
           -4.46485036750553,
           -4.379170031818308,
           -4.286341732748448,
           -4.186516990624636,
           -4.079858745820554,
           -3.966541092793092,
           -3.846748995914164,
           -3.7206779875599523,
           -3.5885338489503615,
           -3.450532274259668,
           -3.3068985185465807,
           -3.157867030078444,
           -3.00368106764966,
           -2.8445923035190264,
           -2.6808604126140585,
           -2.5127526486728495,
           -2.3405434080153147,
           -2.164513781655825,
           -1.9849510964883716,
           -1.802148446293082,
           -1.6164042133296883,
           -1.4280215812987849,
           -1.2373080404658512,
           -1.0445748857558512,
           -0.8501367086375939,
           -0.6543108836272893,
           -0.45741705024940593,
           -0.2597765913004597,
           -0.061712108267318655,
           0.13645310524373588,
           0.33439559120763995,
           0.531792255149588,
           0.7283208935206229,
           0.9236607196190416,
           1.1174928871991034,
           1.309501010912396,
           1.4993716827324035,
           1.6867949835192535,
           1.8714649888897088,
           2.0530802685666476,
           2.231344378392972,
           2.405966344206862
          ],
          [
           1.7132489837867246,
           1.541629914940959,
           1.3674944984536301,
           1.1911269693673607,
           1.0128152061227351,
           0.8328502606645536,
           0.6515258833681008,
           0.46913804356086786,
           0.28598444642235865,
           0.10236404705050894,
           -0.08142343751207193,
           -0.2650780174955685,
           -0.4482999200655735,
           -0.6307900786316258,
           -0.8122506210029603,
           -0.992385355594676,
           -1.170900254890725,
           -1.3475039353745615,
           -1.5219081331440876,
           -1.6938281744345494,
           -1.862983440281404,
           -2.029097824564668,
           -2.191900184687095,
           -2.351124784150607,
           -2.5065117263085037,
           -2.6578073785855265,
           -2.8047647864732665,
           -2.947144076625233,
           -3.0847128483935755,
           -3.2172465531683825,
           -3.344528860900397,
           -3.4663520132088506,
           -3.5825171624980707,
           -3.6928346965293395,
           -3.7971245479182008,
           -3.8952164880520446,
           -3.9869504049482067,
           -4.072176564599065,
           -4.150755855377533,
           -4.22256001510401,
           -4.287471840404175,
           -4.345385378015887,
           -4.396206097732921,
           -4.4398510467032555,
           -4.476248984830068,
           -4.505340501054404,
           -4.527078110329732,
           -4.541426331130104,
           -4.548361743365378,
           -4.547873026609003,
           -4.539960978575946,
           -4.524638513820612,
           -4.501930642656875,
           -4.4718744303346325,
           -4.4345189365395195,
           -4.389925135314527,
           -4.338165815534245,
           -4.279325462094167,
           -4.213500118009015,
           -4.140797227645125,
           -4.061335461342851,
           -3.9752445217151804,
           -3.8826649319387823,
           -3.7837478063830194,
           -3.6786546039513515,
           -3.5675568645377043,
           -3.4506359290280093,
           -3.328082643303935,
           -3.2000970467319383,
           -3.0668880456461336,
           -2.92867307235791,
           -2.7856777302489206,
           -2.638135425526701,
           -2.4862869862440267,
           -2.3303802692038595,
           -2.1706697553915015,
           -2.00741613459435,
           -1.8408858798872223,
           -1.6713508126778498,
           -1.4990876590224702,
           -1.3243775979357264,
           -1.1475058024321751,
           -0.9687609740485206,
           -0.7884348716063778,
           -0.6068218349847232,
           -0.4242183046793908,
           -0.24092233793380835,
           -0.05723312223074917,
           0.12654951306072437,
           0.3101255860860901,
           0.4931954521550539,
           0.6754602928409259,
           0.8566226037312985,
           1.0363866800338974,
           1.2144590992450133,
           1.3905492000925932,
           1.5643695569722964,
           1.7356364491020804,
           1.9040703236295293,
           2.0693962519360283
          ],
          [
           1.7317111857709988,
           1.576375981141764,
           1.4184677141037643,
           1.258244132701122,
           1.0959667641831987,
           0.9319004881229667,
           0.7663131040635109,
           0.5994748943983588,
           0.43165818319916305,
           0.26313689171080323,
           0.09418609123948318,
           -0.07491844583636276,
           -0.24390069619951227,
           -0.41248483613699705,
           -0.580395691757321,
           -0.7473591881470174,
           -0.9131027967333809,
           -1.0773559801231336,
           -1.2398506336910216,
           -1.4003215231974124,
           -1.5585067177207321,
           -1.7141480171979775,
           -1.8669913738754826,
           -2.016787306982038,
           -2.163291309947459,
           -2.3062642495019756,
           -2.4454727560049405,
           -2.5806896043657996,
           -2.7116940849355182,
           -2.8382723637630756,
           -2.960217831629028,
           -3.077331441286375,
           -3.189422032358295,
           -3.2963066433624295,
           -3.397810810352398,
           -3.4937688516890866,
           -3.584024138476892,
           -3.668429350223491,
           -3.7468467153058413,
           -3.8191482358498927,
           -3.8852158966569657,
           -3.944941857835757,
           -3.9982286308255603,
           -4.044989237523367,
           -4.085147352255137,
           -4.11863742635947,
           -4.1454047951803625,
           -4.165405767294371,
           -4.178607695826576,
           -4.1849890317389065,
           -4.184539359003875,
           -4.177259411606279,
           -4.163161072345156,
           -4.142267353437903,
           -4.114612358958257,
           -4.080241229169433,
           -4.039210066843268,
           -3.99158584568568,
           -3.9374463010178538,
           -3.876879802891656,
           -3.8099852118463384,
           -3.7368717175419985,
           -3.6576586605331887,
           -3.5724753374735667,
           -3.481460790069582,
           -3.3847635781276333,
           -3.282541537065198,
           -3.174961520281688,
           -3.062199126809587,
           -2.944438414690403,
           -2.8218716005432696,
           -2.694698745816612,
           -2.5631274302349523,
           -2.427372412973922,
           -2.287655282116503,
           -2.1442040929626787,
           -1.9972529957828948,
           -1.847041853622898,
           -1.6938158507838281,
           -1.5378250926166106,
           -1.379324197283887,
           -1.2185718801558596,
           -1.055830531518394,
           -0.8913657882827,
           -0.725446100395648,
           -0.5583422926584776,
           -0.39032712266912295,
           -0.2216748356096785,
           -0.05266071660576266,
           0.1164393586116077,
           0.285349374008141,
           0.4537936237774316,
           0.621497162365733,
           0.7881862532557848,
           0.9535888157772119,
           1.1174348692140974,
           1.2794569734849097,
           1.4393906656754232,
           1.59697489171212,
           1.751952432471465
          ],
          [
           1.7175418824971964,
           1.5785241837143014,
           1.4369299160880384,
           1.292990198901927,
           1.1469399798333337,
           0.9990176514567288,
           0.8494646621239745,
           0.6985251218567727,
           0.5464454038945741,
           0.39347374254829237,
           0.23985982801628758,
           0.08585439882392976,
           -0.06829116744795893,
           -0.22232526447779133,
           -0.3759964678912615,
           -0.5290539456523904,
           -0.6812478674877385,
           -0.8323298126754777,
           -0.9820531755336761,
           -1.1301735679459828,
           -1.276449218267666,
           -1.4206413659608406,
           -1.5625146513148103,
           -1.7018374996153471,
           -1.8383824991358462,
           -1.971926772333406,
           -2.1022523396438952,
           -2.2291464752822487,
           -2.3524020544671917,
           -2.471817891503642,
           -2.5871990681709707,
           -2.698357251881068,
           -2.8051110030869264,
           -2.9072860714399544,
           -3.0047156802126223,
           -3.097240798522177,
           -3.184710400911089,
           -3.266981713860533,
           -3.3439204488345267,
           -3.4154010214743176,
           -3.481306756585273,
           -3.54153007858164,
           -3.595972687078351,
           -3.6445457173432376,
           -3.6871698853477763,
           -3.7237756171795824,
           -3.7543031626054306,
           -3.7787026925994383,
           -3.7969343806772065,
           -3.8089684679031746,
           -3.8147853114650725,
           -3.8143754167361834,
           -3.8077394527730846,
           -3.79488825122357,
           -3.775842788646538,
           -3.7506341522727027,
           -3.719303489262007,
           -3.6819019395405848,
           -3.6384905523268776,
           -3.589140186483167,
           -3.533931394855177,
           -3.47295429278853,
           -3.406308411036677,
           -3.3341025333003858,
           -3.2564545186639875,
           -3.1734911092181806,
           -3.0853477231834283,
           -2.992168233871619,
           -2.8941047348467763,
           -2.7913172916681566,
           -2.683973680620919,
           -2.572249114860881,
           -2.4563259584203117,
           -2.336393428541612,
           -2.212647286824754,
           -2.0852895196925747,
           -1.9545280086955383,
           -1.8205761911940752,
           -1.683652711972373,
           -1.5439810663522864,
           -1.4017892353898653,
           -1.257309313749999,
           -1.1107771308665546,
           -0.9624318660063853,
           -0.8125156578655215,
           -0.6612732093347997,
           -0.5089513880800478,
           -0.35579882358876525,
           -0.20206550134107815,
           -0.04800235476732162,
           0.10613914434165306,
           0.2601073963029492,
           0.41365108421881924,
           0.5665195841922905,
           0.7184633744116464,
           0.8692344424359852,
           1.0185866900171083,
           1.1662763347969278,
           1.3120623082247334,
           1.4557066490448078
          ],
          [
           1.6708335484119456,
           1.5480605026435894,
           1.422760612814236,
           1.2951384014744645,
           1.165402181817608,
           1.0337637176575347,
           0.9004378777741096,
           0.7656422851905349,
           0.6295969619550386,
           0.4925239700067081,
           0.3546470487116995,
           0.21619124966142245,
           0.07738256932884724,
           -0.06155241981749704,
           -0.20038693913970462,
           -0.3388943739931829,
           -0.4768486436216772,
           -0.6140245701808462,
           -0.7501982462880337,
           -0.8851474004983242,
           -1.0186517601103176,
           -1.1504934107094096,
           -1.2804571518617411,
           -1.408330848378207,
           -1.5339057765751702,
           -1.6569769649667117,
           -1.777343528832279,
           -1.894808998113675,
           -2.009181638106143,
           -2.1202747624200873,
           -2.22790703770264,
           -2.3319027796216307,
           -2.4320922396288647,
           -2.528311882034643,
           -2.620404650941249,
           -2.7082202265996975,
           -2.7916152707713096,
           -2.8704536606936193,
           -2.9446067112687193,
           -3.013953385111356,
           -3.078380490113954,
           -3.137782864206061,
           -3.192063547006654,
           -3.241133938089116,
           -3.2849139416005624,
           -3.3233320969994478,
           -3.356325695698066,
           -3.3838408834195457,
           -3.405832748102271,
           -3.4222653932082374,
           -3.4331119963156986,
           -3.438354852900447,
           -3.437985405234279,
           -3.43200425635347,
           -3.420421169074463,
           -3.403255050058366,
           -3.3805339189502837,
           -3.352294862643851,
           -3.318583974745612,
           -3.2794562803380685,
           -3.2349756461641976,
           -3.1852146763800384,
           -3.130254594045512,
           -3.0701851085469145,
           -3.005104269167473,
           -2.9351183050449974,
           -2.860341451777832,
           -2.7808957649621635,
           -2.696910920965005,
           -2.608524005258084,
           -2.515879288658106,
           -2.419127991838632,
           -2.3184280384979594,
           -2.2139437975858804,
           -2.105845815010112,
           -1.9943105352602641,
           -1.8795200134037886,
           -1.7616616179239695,
           -1.6409277248850165,
           -1.5175154039234635,
           -1.3916260965784102,
           -1.2634652874856758,
           -1.1332421689725338,
           -1.0011692996005257,
           -0.867462257213683,
           -0.7323392870584859,
           -0.596020945549923,
           -0.45872974026508917,
           -0.3206897667520048,
           -0.18212634274641015,
           -0.04326564039366332,
           0.09566568292401811,
           0.23444085455233044,
           0.3728333567178055,
           0.51061729626473,
           0.6475677733724874,
           0.7834612486515393,
           0.9180759080188121,
           1.0511920247569284,
           1.1825923181663094
          ],
          [
           1.591891020476107,
           1.485183755895119,
           1.3760522787289862,
           1.2646747204037525,
           1.1512328785438055,
           1.0359119202300713,
           0.9189000797583837,
           0.8003883513913399,
           0.6805701776051736,
           0.5596411333404703,
           0.4377986067721631,
           0.3152414771198364,
           0.19216979002425916,
           0.06878443101999387,
           -0.054713202362900226,
           -0.1781215293328886,
           -0.3012391148701239,
           -0.4238649985216405,
           -0.5457990224219742,
           -0.6668421580036972,
           -0.7867968308646782,
           -0.9054672432617537,
           -1.022659693704397,
           -1.1381828931267775,
           -1.2518482771221042,
           -1.3634703137295747,
           -1.4728668062716066,
           -1.5798591907469848,
           -1.6842728272945302,
           -1.785937285251518,
           -1.8846866213415954,
           -1.9803596505380798,
           -2.072800209160538,
           -2.1618574097752097,
           -2.247385887483192,
           -2.3292460371943906,
           -2.4073042414999404,
           -2.4814330887711438,
           -2.5515115811289437,
           -2.617425331944446,
           -2.679066752548151,
           -2.736335227843103,
           -2.789137280535339,
           -2.837386723713541,
           -2.88100480152887,
           -2.919920317745331,
           -2.9540697519508563,
           -2.9833973632394155,
           -3.00785528119491,
           -3.0274035840283493,
           -3.0420103637407676,
           -3.051651778205514,
           -3.0563120900849094,
           -3.0559836925177377,
           -3.0506671215356613,
           -3.0403710551882694,
           -3.025112299378212,
           -3.004915760429518,
           -2.9798144044338932,
           -2.9498492034413384,
           -2.9150690685829352,
           -2.8755307702349433,
           -2.831298845354536,
           -2.7824454921384256,
           -2.7290504521763115,
           -2.6712008802915284,
           -2.60899120228132,
           -2.5425229607889817,
           -2.4719046495594106,
           -2.397251536348631,
           -2.3186854747763364,
           -2.236334705428563,
           -2.150333646535148,
           -2.060822674563634,
           -1.9679478950877605,
           -1.8718609043045333,
           -1.772718541589148,
           -1.6706826334916607,
           -1.5659197295932676,
           -1.4586008306533587,
           -1.3489011094910537,
           -1.236999625056853,
           -1.1230790301610787,
           -1.0073252733362015,
           -0.8899272953196613,
           -0.7710767206526254,
           -0.6509675448980836,
           -0.5297958179887745,
           -0.4077593242218782,
           -0.2850572594227323,
           -0.16188990580458817,
           -0.03845830505506864,
           0.08503606981701495,
           0.20839164333887616,
           0.33140706659824204,
           0.453881545898005,
           0.5756151705046264,
           0.6964092389553178,
           0.816066583391363,
           0.9343918913881968
          ],
          [
           1.4812295086788532,
           1.3903043018505947,
           1.2971097507931466,
           1.2017979736552813,
           1.1045245444585547,
           1.0054482391593593,
           0.9047307764845813,
           0.8025365539638774,
           0.6990323795894477,
           0.5943871995412762,
           0.4887718224222981,
           0.3823586404535986,
           0.27532134808472364,
           0.16783465847840873,
           0.06007401833251169,
           -0.047784678495396804,
           -0.15556537809331772,
           -0.2630921538613462,
           -0.3701894936704173,
           -0.4766825863444897,
           -0.582397606998617,
           -0.6871620007671222,
           -0.7908047644587546,
           -0.8931567256791189,
           -0.9940508189647557,
           -1.0933223584781437,
           -1.1908093068185375,
           -1.2863525395098447,
           -1.3797961047338543,
           -1.4709874778848242,
           -1.5597778105299787,
           -1.6460221733695062,
           -1.7295797927994894,
           -1.8103142806916548,
           -1.8880938570148613,
           -1.9627915649349532,
           -2.0342854780418786,
           -2.102458899365833,
           -2.1672005518575705,
           -2.2284047600219665,
           -2.285971622408371,
           -2.3398071746761895,
           -2.389823542969532,
           -2.4359390873505795,
           -2.4780785350575507,
           -2.516173103369751,
           -2.5501606118791593,
           -2.579985583985294,
           -2.6055993374476962,
           -2.6269600638482147,
           -2.6440328968334024,
           -2.6567899690256214,
           -2.665210457509973,
           -2.6692806178228006,
           -2.6689938063862875,
           -2.664350491352533,
           -2.655358251839406,
           -2.6420317655594183,
           -2.624392784861817,
           -2.6024701012270017,
           -2.5762994982712133,
           -2.5459236933382097,
           -2.5113922677732705,
           -2.472761585993327,
           -2.430094703485332,
           -2.383461263883036,
           -2.3329373852901556,
           -2.2786055360355095,
           -2.220554400062896,
           -2.1588787321754475,
           -2.09367920337074,
           -2.0250622365191076,
           -1.9531398326533758,
           -1.8780293881535615,
           -1.799853503124948,
           -1.7187397812822844,
           -1.6348206216667958,
           -1.548233002535928,
           -1.4591182577786252,
           -1.367621846221048,
           -1.273893114199304,
           -1.1780850517867472,
           -1.0803540430737222,
           -0.9808596109073786,
           -0.8797641565082062,
           -0.7772326943883021,
           -0.673432583004062,
           -0.5685332515829149,
           -0.4627059235700397,
           -0.35612333714641853,
           -0.2489594632744634,
           -0.14138922173139257,
           -0.033588195593911685,
           0.07426765535978763,
           0.18200228186292566,
           0.2894398325190739,
           0.3964049408381367,
           0.5027230114808328,
           0.6082205052444474,
           0.7127252223246998
          ],
          [
           1.3395712335746333,
           1.2640413611477337,
           1.1864482389958928,
           1.1069185196107578,
           1.025582016522716,
           0.9425714924108881,
           0.8580224423993306,
           0.7720728728931654,
           0.6848630763156454,
           0.5965354021138127,
           0.5072340244065723,
           0.4171047066544036,
           0.32629456373485777,
           0.23495182181217,
           0.14322557639297528,
           0.05126554896301627,
           -0.0407781573979058,
           -0.1327553030238553,
           -0.22451575689361292,
           -0.3159097416841954,
           -0.40678807824706187,
           -0.4970024291079165,
           -0.5864055405926933,
           -0.6748514831844918,
           -0.7621958897191163,
           -0.8482961910304878,
           -0.9330118486611934,
           -1.0162045842584169,
           -1.0977386052807883,
           -1.1774808266476873,
           -1.2553010879693067,
           -1.3310723660028159,
           -1.4046709819878767,
           -1.4759768035230856,
           -1.5448734406538165,
           -1.6112484358514023,
           -1.6749934475735526,
           -1.7360044271063995,
           -1.7941817883995133,
           -1.8494305706166596,
           -1.9016605931370023,
           -1.950786602753714,
           -1.9967284128297564,
           -2.0394110341836695,
           -2.078764797491748,
           -2.114725467006794,
           -2.1472343454078446,
           -2.1762383696097194,
           -2.2016901973760037,
           -2.2235482845940977,
           -2.241776953086193,
           -2.2563464488454916,
           -2.2672329906026127,
           -2.274418808642912,
           -2.277892173811356,
           -2.2776474166576,
           -2.2736849366900365,
           -2.2660112017236855,
           -2.2546387373230155,
           -2.2395861063569056,
           -2.220877878699141,
           -2.1985445911238766,
           -2.1726226974615517,
           -2.143154509096597,
           -2.11018812590407,
           -2.0737773577379413,
           -2.0339816365991794,
           -1.9908659196270215,
           -1.9445005830717346,
           -1.8949613074219789,
           -1.8423289538742282,
           -1.7866894323459257,
           -1.7281335612477822,
           -1.6667569192441087,
           -1.6026596892431786,
           -1.5359464948722152,
           -1.4667262297039843,
           -1.395111879513681,
           -1.321220337856274,
           -1.2451722152653173,
           -1.1670916423846633,
           -1.0871060673544384,
           -1.0053460477819733,
           -0.9219450376372738,
           -0.8370391694208497,
           -0.7507670319594792,
           -0.6632694441926068,
           -0.5746892253185907,
           -0.48517096167601803,
           -0.39486077074055803,
           -0.303906062622624,
           -0.21245529945507702,
           -0.12065775306378512,
           -0.028663261316534516,
           0.06337801645200081,
           0.15531584453998715,
           0.2470001561028221,
           0.33828129810190344,
           0.42901027557796034,
           0.5190389948502174
          ],
          [
           1.1678407127877377,
           1.1072189754028043,
           1.0447899638916702,
           0.980655578907895,
           0.9149205047254623,
           0.8476920383663638,
           0.779079914463491,
           0.7091961261446942,
           0.6381547422303946,
           0.5660717210431008,
           0.4930647211327699,
           0.41925290922694103,
           0.34475676571913194,
           0.2696978880129759,
           0.1941987920431103,
           0.11838271229677844,
           0.04237340066255868,
           -0.033705075565440445,
           -0.109728536198201,
           -0.1855728908467036,
           -0.2611143414702557,
           -0.3362295844476222,
           -0.41079601184113645,
           -0.48469191152528435,
           -0.5577966658530551,
           -0.6299909485358564,
           -0.7011569194155509,
           -0.7711784168107583,
           -0.8399411471234397,
           -0.9073328713962576,
           -0.9732435885162376,
           -1.0375657147656758,
           -1.1001942594272007,
           -1.1610269961563917,
           -1.2199646298421998,
           -1.2769109586828287,
           -1.3317730312125033,
           -1.3844612980228446,
           -1.4348897579311828,
           -1.4829760983572222,
           -1.5286418296789406,
           -1.5718124133484028,
           -1.6124173835583833,
           -1.65039046226119,
           -1.6856696673519682,
           -1.71819741383988,
           -1.7479206078420373,
           -1.7747907332467572,
           -1.7987639309046846,
           -1.8198010702185183,
           -1.8378678130144959,
           -1.8529346695913698,
           -1.8649770468553988,
           -1.8739752884627778,
           -1.879914706903991,
           -1.8827856074777074,
           -1.8825833041151006,
           -1.8793081270287484,
           -1.8729654221736411,
           -1.8635655425211692,
           -1.851123831160335,
           -1.8356605962537769,
           -1.8172010778894756,
           -1.7957754068822602,
           -1.7714185555923478,
           -1.7441702808412074,
           -1.7140750590179141,
           -1.6811820134819224,
           -1.6455448343807553,
           -1.6072216910134864,
           -1.5662751368830636,
           -1.5227720075924536,
           -1.4767833117512668,
           -1.428384115070925,
           -1.3776534178375814,
           -1.3246740259627598,
           -1.269532415822212,
           -1.2123185931036091,
           -1.1531259458934615,
           -1.0920510922430693,
           -1.0291937224623111,
           -0.9646564363987058,
           -0.898544575967331,
           -0.8309660532049632,
           -0.7620311741290999,
           -0.6918524586893735,
           -0.6205444571052494,
           -0.5482235628897678,
           -0.4750078228645629,
           -0.4010167444762347,
           -0.3263711007286023,
           -0.2511927330492174,
           -0.1756043524119466,
           -0.09972933904021986,
           -0.023691541017874407,
           0.05238492786366322,
           0.12837589069189548,
           0.2041573101228149,
           0.2796054908426431,
           0.35459728147128633
          ],
          [
           0.9671587272466398,
           0.9208606291909147,
           0.8730594431047791,
           0.8238331931629674,
           0.7732622296212424,
           0.7214290976635036,
           0.6684184026662381,
           0.6143166721001707,
           0.5592122142945559,
           0.5031949742946296,
           0.4463563870475191,
           0.38878922815622907,
           0.33058746244532955,
           0.27184609058551246,
           0.21266099402738448,
           0.15312877849758433,
           0.09334661631269281,
           0.03341208776832083,
           -0.026576978137737406,
           -0.08652266338829051,
           -0.14632712077484555,
           -0.20589273361013127,
           -0.26512227506433383,
           -0.32391906686499006,
           -0.3821871371015,
           -0.43983137687665064,
           -0.4967576955494897,
           -0.5528731743161295,
           -0.6080862178778004,
           -0.662306703948599,
           -0.7154461303588922,
           -0.767417759514248,
           -0.8181367599741347,
           -0.8675203449192548,
           -0.9154879072815278,
           -0.9619611513161384,
           -1.006864220400891,
           -1.050123820854275,
           -1.091669341570138,
           -1.1314329692736713,
           -1.1693497992106145,
           -1.2053579410889697,
           -1.2393986201003258,
           -1.2714162728558833,
           -1.3013586380805993,
           -1.3291768419174046,
           -1.354825477702262,
           -1.3782626800798476,
           -1.3994501933388817,
           -1.4183534338555608,
           -1.4349415465431812,
           -1.449187455215795,
           -1.4610679067837062,
           -1.4705635092086604,
           -1.4776587631567815,
           -1.4823420872975777,
           -1.48460583720774,
           -1.48444631784886,
           -1.4818637895987097,
           -1.4768624678262363,
           -1.4694505160109654,
           -1.4596400324180443,
           -1.447447030350674,
           -1.432891412012164,
           -1.4159969360202758,
           -1.3967911786268743,
           -1.3753054887061953,
           -1.3515749365851928,
           -1.3256382567994929,
           -1.2975377848683913,
           -1.2673193881920874,
           -1.2350323911839656,
           -1.2007294947601057,
           -1.1644666903174565,
           -1.1263031683410696,
           -1.086301221789578,
           -1.0445261444166185,
           -1.0010461241941564,
           -0.955932132011692,
           -0.9092578058329983,
           -0.8610993304994996,
           -0.8115353133764587,
           -0.7606466560449796,
           -0.7085164222492324,
           -0.6552297023144584,
           -0.6008734742570647,
           -0.5455364618135006,
           -0.48930898961966296,
           -0.4322828357772064,
           -0.37455108204741183,
           -0.3162079619171472,
           -0.2573487067848932,
           -0.19806939051792494,
           -0.13846677263436025,
           -0.078638140366035,
           -0.01868114986002123,
           0.04130633322202204,
           0.10122639344649276,
           0.16098122543171822,
           0.22047329349219957
          ],
          [
           0.7388350065267892,
           0.7061825703830795,
           0.6723774575636794,
           0.6374748469510778,
           0.6015317088343486,
           0.5646067119185743,
           0.5267601275620182,
           0.4880537313973097,
           0.4485507024973039,
           0.408315520250107,
           0.36741385911168045,
           0.32591248140775875,
           0.28387912836007967,
           0.2413824095148005,
           0.19849169075358208,
           0.1552769810701209,
           0.11180881829696698,
           0.06815815396912583,
           0.02439623751239761,
           -0.019405500054528346,
           -0.06317556271438196,
           -0.10684250615171731,
           -0.15033505436892192,
           -0.19358221602750092,
           -0.2365134003246956,
           -0.2790585322163581,
           -0.32114816679793634,
           -0.36271360265692376,
           -0.4036869940117409,
           -0.444001461453972,
           -0.4835912011132528,
           -0.522391592066592,
           -0.5603393018167893,
           -0.5973723896678251,
           -0.6334304078284618,
           -0.6684545000790014,
           -0.7023874978402187,
           -0.7351740134875846,
           -0.7667605307585252,
           -0.7970954921051017,
           -0.8261293828495693,
           -0.8538148120054188,
           -0.8801065896319993,
           -0.9049618005964497,
           -0.9283398746225417,
           -0.9502026525120977,
           -0.970514448430893,
           -0.9892421081573723,
           -1.0063550631991063,
           -1.021825380688651,
           -1.0356278089773783,
           -1.0477398188528375,
           -1.0581416403123916,
           -1.0668162948330857,
           -1.073749623085089,
           -1.0789303080434602,
           -1.0823498934605305,
           -1.08400279766873,
           -1.0838863226913493,
           -1.082000658646348,
           -1.078348883436034,
           -1.0729369577231114,
           -1.0657737152013045,
           -1.0568708481764317,
           -1.0462428884814736,
           -1.0339071837567781,
           -1.0198838691341232,
           -1.0041958343708597,
           -0.986868686487774,
           -0.9679307079716613,
           -0.9474128106108259,
           -0.9253484850388705,
           -0.9017737460691295,
           -0.8767270739089676,
           -0.8502493513499081,
           -0.8223837970361094,
           -0.7931758949201066,
           -0.7626733200209745,
           -0.7309258606060975,
           -0.6979853369235456,
           -0.6639055166177301,
           -0.6287420269663895,
           -0.592552264082169,
           -0.5553952992269862,
           -0.5173317823921071,
           -0.4784238433013339,
           -0.43873498999885996,
           -0.3983300051873533,
           -0.35727484048545755,
           -0.31563650877730787,
           -0.27348297482979067,
           -0.23088304435607032,
           -0.1879062517064698,
           -0.14462274637003603,
           -0.10110317847201333,
           -0.05741858345416073,
           -0.013640266126138556,
           0.030160315722807418,
           0.07391166796184478,
           0.11754237681587743
          ],
          [
           0.48435968104022153,
           0.4645858724342071,
           0.4440537368438262,
           0.42279678814323995,
           0.40084972329324886,
           0.37824836570668285,
           0.35502960677512263,
           0.3312313456523803,
           0.3068924273930822,
           0.28205257954724505,
           0.25675234731442664,
           0.2310330273632344,
           0.2049366004242401,
           0.1785056627663293,
           0.15178335666833132,
           0.12481329999940893,
           0.09763951502316459,
           0.07030635654166328,
           0.042858439496671785,
           0.015340566146277546,
           -0.012202347064246943,
           -0.039725342817955145,
           -0.06718349630845744,
           -0.09453198856908518,
           -0.12172617962928367,
           -0.14872168137886543,
           -0.17547443002113017,
           -0.20194075799662947,
           -0.22807746526018402,
           -0.2538418897947645,
           -0.2791919772471916,
           -0.30408634957196057,
           -0.3284843725711468,
           -0.35234622222016654,
           -0.37563294967111327,
           -0.39830654482757044,
           -0.4203299983871496,
           -0.44166736225044456,
           -0.4622838081978493,
           -0.48214568473840735,
           -0.501220572037953,
           -0.5194773348368451,
           -0.5368861732709505,
           -0.5534186715128948,
           -0.5690478441542113,
           -0.5837481802526603,
           -0.5974956849728312,
           -0.6102679187520612,
           -0.6220440339277331,
           -0.6328048087661715,
           -0.6425326788375985,
           -0.6512117656859235,
           -0.6588279027465841,
           -0.6653686584701237,
           -0.6708233566137698,
           -0.6751830936678811,
           -0.6784407533888334,
           -0.6805910184146083,
           -0.6816303789441351,
           -0.6815571384662136,
           -0.680371416528669,
           -0.6780751485432188,
           -0.6746720826263685,
           -0.6701677734814945,
           -0.6645695733321,
           -0.6578866199210416,
           -0.6501298215953175,
           -0.64131183950076,
           -0.6314470669156989,
           -0.6205516057573246,
           -0.6086432402991031,
           -0.5957414081421368,
           -0.581867168487864,
           -0.567043167763869,
           -0.5512936026589288,
           -0.5346441806276179,
           -0.517122077928942,
           -0.4987558952675024,
           -0.479575611109583,
           -0.45961253275036196,
           -0.43889924521213386,
           -0.4174695580569341,
           -0.3953584502003977,
           -0.3726020128169134,
           -0.3492373904292947,
           -0.325302720279085,
           -0.30083707007650773,
           -0.2758803742316216,
           -0.25047336867081516,
           -0.2246575243449973,
           -0.19847497953804094,
           -0.17196847108596458,
           -0.1451812646191133,
           -0.11815708394121316,
           -0.09094003966055819,
           -0.0635745571898374,
           -0.036105304232116886,
           -0.008577117871332973,
           0.0189650686136833,
           0.046476299092192086
          ],
          [
           0.20539355685836602,
           0.19764729042663465,
           0.18957841135726428,
           0.18120009019437022,
           0.17252600257339834,
           0.16357030689884944,
           0.15434762123402468,
           0.1448729994404907,
           0.13516190660618843,
           0.1252301938023157,
           0.11509407221020673,
           0.10477008666037335,
           0.0942750886269863,
           0.08362620872180582,
           0.07284082873249265,
           0.06193655325093772,
           0.05093118093791471,
           0.03984267547095133,
           0.028689136222869394,
           0.017488768718814107,
           0.00625985492002723,
           -0.004979276617150141,
           -0.016210280658323306,
           -0.027414825235323015,
           -0.03857462156882008,
           -0.04967145392045147,
           -0.06068720932571825,
           -0.07160390715913856,
           -0.08240372848337962,
           -0.09306904513447023,
           -0.10358244849563647,
           -0.11392677791275485,
           -0.12408514870508736,
           -0.13404097972553952,
           -0.14377802042547394,
           -0.1532803773799145,
           -0.16253254022980546,
           -0.1715194069990167,
           -0.1802263087447833,
           -0.18863903350127043,
           -0.19674384947728063,
           -0.2045275274701548,
           -0.21197736245933774,
           -0.2190811943443256,
           -0.22582742779316645,
           -0.2322050511691094,
           -0.23820365450450476,
           -0.2438134464926276,
           -0.2490252704696756,
           -0.2538306193608646,
           -0.2582216495662295,
           -0.26219119376344824,
           -0.26573277260680883,
           -0.2688406053032142,
           -0.2715096190479668,
           -0.27373545730492355,
           -0.2755144869175188,
           -0.27684380403903364,
           -0.2777212388724426,
           -0.2781453592120964,
           -0.2781154727814594,
           -0.27763162836308874,
           -0.2766946157190079,
           -0.27530596430160625,
           -0.2734679407571685,
           -0.27118354522610866,
           -0.2684565064459479,
           -0.2652912756650274,
           -0.2616930193768967,
           -0.25766761088722845,
           -0.253221620727031,
           -0.24836230592780373,
           -0.24309759817614518,
           -0.2374360908671389,
           -0.2313870250776664,
           -0.22496027448252276,
           -0.21816632923796586,
           -0.21101627885901442,
           -0.20352179411842153,
           -0.19569510799689338,
           -0.187548995715622,
           -0.17909675388375224,
           -0.17035217879480324,
           -0.16132954390746068,
           -0.1520435765475252,
           -0.14250943386901582,
           -0.13274267811369622,
           -0.12275925120937536,
           -0.11257544874846381,
           -0.1022078933892665,
           -0.09167350772340033,
           -0.0809894866536558,
           -0.07017326932736445,
           -0.059242510671108306,
           -0.04821505257320169,
           -0.03710889476101453,
           -0.025942165420661745,
           -0.014733091607008753,
           -0.0034999694922950297,
           0.007738865498051695
          ],
          [
           -0.09624272336167428,
           -0.09289102945376859,
           -0.08938771282459435,
           -0.08573849181320492,
           -0.08194932291316936,
           -0.07802639105002296,
           -0.0739760994858285,
           -0.06980505936734716,
           -0.0655200789349113,
           -0.0611281524095757,
           -0.056636448576688814,
           -0.052052299084556,
           -0.04738318647723627,
           -0.042636731981057,
           -0.03782068306476116,
           -0.03294290079358664,
           -0.028011346997924846,
           -0.023034071277519885,
           -0.018019197862381375,
           -0.01297491235189785,
           -0.007909448353775161,
           -0.0028310740446126914,
           0.0022519213259508675,
           0.007331240965482877,
           0.01239859408131494,
           0.017445709413310695,
           0.02246434873474623,
           0.027446320299276294,
           0.032383492212032294,
           0.03726780570302157,
           0.0420912882811697,
           0.04684606674753944,
           0.05152438004646953,
           0.05611859193366797,
           0.0606212034405873,
           0.06502486511471695,
           0.06932238901583698,
           0.0735067604486419,
           0.07757114941256527,
           0.08150892175016056,
           0.0853136499757885,
           0.08897912376698525,
           0.09249936010133819,
           0.09586861302236827,
           0.09908138301845026,
           0.10213242599946426,
           0.10501676185654407,
           0.1077296825909273,
           0.11026675999865487,
           0.1126238528985728,
           0.11479711389183223,
           0.1167829956418629,
           0.11857825666456434,
           0.12017996661926555,
           0.12158551109181293,
           0.12279259586199043,
           0.12379925064828867,
           0.12460383232392835,
           0.12520502759887642,
           0.12560185516348282,
           0.1257936672902376,
           0.1257801508910329,
           0.12556132802820613,
           0.12513755587852815,
           0.1245095261501965,
           0.123678263953784,
           0.12264512612898804,
           0.12141179902990995,
           0.11998029577247693,
           0.11835295294850812,
           0.11653242681177467,
           0.11452168894229597,
           0.1123240213959309,
           0.10994301134719775,
           0.10738254523405555,
           0.10464680241421087,
           0.10174024834329964,
           0.09866762728608469,
           0.09543395457255777,
           0.09204450841159906,
           0.0885048212755426,
           0.0848206708697199,
           0.08099807070171128,
           0.07704326026572295,
           0.07296269485807194,
           0.06876303504043957,
           0.06445113576807593,
           0.06003403520069739,
           0.05551894321434858,
           0.05091322963298239,
           0.0462244121989519,
           0.041460144302076785,
           0.03662820248727794,
           0.031736473761202255,
           0.02679294271854804,
           0.02180567850909121,
           0.016782821666695646,
           0.011732570821814114,
           0.006663169319160112,
           0.0015828917623759153
          ],
          [
           -0.418580562607223,
           -0.405132919848862,
           -0.39102399304463464,
           -0.3762768116936055,
           -0.3609154470950249,
           -0.3449649730575981,
           -0.32845142497239355,
           -0.3114017573162169,
           -0.2938437996547618,
           -0.2758062112174091,
           -0.25731843411778677,
           -0.23841064529644562,
           -0.21911370726412738,
           -0.19945911772598457,
           -0.17947895816898107,
           -0.1592058414964468,
           -0.13867285879517866,
           -0.11791352532204336,
           -0.09696172579822004,
           -0.07585165910036906,
           -0.05461778243902593,
           -0.03329475511532465,
           -0.011917381947851524,
           0.009479443538019439,
           0.030860796065589113,
           0.0521917756141157,
           0.07343756438488036,
           0.09456348363303757,
           0.11553505027249589,
           0.13631803316143465,
           0.15687850897657984,
           0.17718291758503035,
           0.19719811682327393,
           0.21689143659396226,
           0.2362307321921424,
           0.25518443677392266,
           0.2737216128818982,
           0.2918120029432707,
           0.3094260786582046,
           0.3265350891978165,
           0.3431111081331326,
           0.3591270790184131,
           0.3745568595544042,
           0.3893752642595052,
           0.4035581055791222,
           0.4170822333661546,
           0.4299255726681568,
           0.4420671597594965,
           0.4534871763596997,
           0.4641669819821237,
           0.47408914436015825,
           0.4832374679012965,
           0.49159702012262185,
           0.49915415602457225,
           0.5058965403631819,
           0.5118131677844657,
           0.5168943807880639,
           0.5211318854908379,
           0.5245187651646794,
           0.5270494915264403,
           0.5287199337615522,
           0.5295273652666077,
           0.5294704680998987,
           0.5285493351326455,
           0.526765469897406,
           0.524121784133914,
           0.5206225930363486,
           0.5162736082097982,
           0.5110819283474084,
           0.505056027643441,
           0.4982057419611443,
           0.49054225277802854,
           0.4820780689347326,
           0.4728270062172939,
           0.4628041648061276,
           0.452025904628544,
           0.4405098186550185,
           0.4282747041828143,
           0.41534053215382016,
           0.40172841455669417,
           0.3874605699665188,
           0.3725602872782079,
           0.35705188769287277,
           0.3409606850191915,
           0.3243129443545838,
           0.3071358392136214,
           0.2894574071736695,
           0.2713065041101501,
           0.25271275709611807,
           0.2337065160430516,
           0.2143188041617634,
           0.1945812673243239,
           0.17452612240962928,
           0.15418610471693306,
           0.13359441453318865,
           0.1127846629414,
           0.09179081695844449,
           0.07064714409191897,
           0.049388156406516615,
           0.028048554191198782
          ],
          [
           -0.759516257348503,
           -0.7370405673622846,
           -0.7133618322901798,
           -0.6885187020886989,
           -0.6625517273150616,
           -0.6355032929379956,
           -0.6074175491542491,
           -0.5783403393237894,
           -0.5483191251413264,
           -0.5174029091662815,
           -0.4856421548376373,
           -0.4530887041042808,
           -0.4197956928052271,
           -0.3858174639378742,
           -0.35120947895587484,
           -0.31602822724137614,
           -0.2803311338993977,
           -0.2441764660249044,
           -0.20762323759547208,
           -0.17073111314489164,
           -0.1335603103748646,
           -0.09617150186379497,
           -0.058625716033101405,
           -0.020984237532692518,
           0.016691492791786722,
           0.05433997818665315,
           0.09189976636915453,
           0.12930954983384257,
           0.1665082659226309,
           0.2034351964951968,
           0.24003006703704344,
           0.2762331450434443,
           0.31198533751868496,
           0.3472282874314514,
           0.3819044689689468,
           0.4159572814342152,
           0.44933114163345156,
           0.4819715746024764,
           0.5138253025242641,
           0.5448403316924462,
           0.574966037378775,
           0.604153246466069,
           0.6323543177117497,
           0.6595232195109348,
           0.6856156050321882,
           0.7105888846032915,
           0.7344022952288292,
           0.7570169671261873,
           0.7783959871713124,
           0.7985044591506933,
           0.8173095607212035,
           0.8347805969848479,
           0.8508890505909483,
           0.8656086282840059,
           0.8789153038212396,
           0.8907873571897726,
           0.9012054100594329,
           0.9101524574133132,
           0.9176138953044547,
           0.9235775446933501,
           0.9280336713273553,
           0.9309750016295653,
           0.9323967345712133,
           0.9322965495082202,
           0.9306746099690987,
           0.9275335633880313,
           0.9228785367835581,
           0.9167171283899282,
           0.909059395254769,
           0.8999178368233293,
           0.8893073745360758,
           0.8772453274729615,
           0.8637513840841022,
           0.8488475700530262,
           0.8325582123449298,
           0.8149098994986397,
           0.7959314382270906,
           0.7756538063971474,
           0.754110102465539,
           0.7313354914534242,
           0.7073671475477803,
           0.682244193423303,
           0.6560076363838485,
           0.6287003014276804,
           0.6003667613457453,
           0.57105326396709,
           0.5408076566701814,
           0.5096793082833311,
           0.47771902850171255,
           0.4449789849525043,
           0.4115126180435329,
           0.3773745537343931,
           0.3426205143724399,
           0.3073072277391793,
           0.2714923344555391,
           0.2352342938971308,
           0.1985922887730851,
           0.16162612852422864,
           0.12439615169826546,
           0.08696312746130364
          ],
          [
           -1.1168247271353464,
           -1.0864478121312393,
           -1.0542975270314634,
           -1.020426349602125,
           -0.9848895665606139,
           -0.9477451833330921,
           -0.9090538293742894,
           -0.8688786592041926,
           -0.827285249323185,
           -0.7843414911738567,
           -0.740117480324205,
           -0.6946854020531532,
           -0.6481194135250803,
           -0.600495522745712,
           -0.5518914644969746,
           -0.5023865734532675,
           -0.45206165468629234,
           -0.40099885176983374,
           -0.34928151269969376,
           -0.29699405384775357,
           -0.2442218221721184,
           -0.19105095590831933,
           -0.13756824396894096,
           -0.08386098428116373,
           -0.030016841293464047,
           0.023876297115941192,
           0.07773046309535214,
           0.13145775240638002,
           0.18497046790690508,
           0.2381812626960027,
           0.29100328268717846,
           0.3433503083772065,
           0.39513689557914944,
           0.44627851488986714,
           0.4966916896643587,
           0.5462941322717079,
           0.5950048784102577,
           0.6427444192627707,
           0.689434831275821,
           0.7349999033516537,
           0.7793652612448363,
           0.8224584889607005,
           0.8642092469573921,
           0.9045493869585934,
           0.9434130631895368,
           0.9807368398547225,
           1.0164597946818987,
           1.0505236183633273,
           1.0828727097319883,
           1.1134542665173877,
           1.1422183715328198,
           1.1691180741534206,
           1.1941094669519972,
           1.2171517573675608,
           1.2382073342895696,
           1.25724182944921,
           1.2742241735174946,
           1.2891266468186244,
           1.301924924575828,
           1.3125981166158296,
           1.321128801467135,
           1.3275030547964792,
           1.3317104721370208,
           1.3337441858711823,
           1.3336008764404177,
           1.3312807777636104,
           1.3267876768552551,
           1.3201289076440499,
           1.311315339001983,
           1.3003613570034638,
           1.2872848414434408,
           1.272107136652854,
           1.2548530166590381,
           1.2355506447479634,
           1.2142315274943034,
           1.1909304633343762,
           1.1656854857658963,
           1.1385378012672471,
           1.1095317220376142,
           1.078714593667761,
           1.0461367178595031,
           1.0118512703200366,
           0.9759142139651145,
           0.9383842075727791,
           0.8993225100367246,
           0.8587928803755815,
           0.816861473661346,
           0.7735967330368023,
           0.7290692779982271,
           0.6833517891256888,
           0.6365188894491292,
           0.5886470226438485,
           0.5398143282542112,
           0.49010051414925204,
           0.4395867264183524,
           0.3883554169193797,
           0.33649020869543733,
           0.28407575947996033,
           0.23119762351290785,
           0.1779421118936142
          ],
          [
           -1.4881740363474323,
           -1.451074285037802,
           -1.4116059968183068,
           -1.3698335943710762,
           -1.325825261301894,
           -1.2796528308465183,
           -1.231391668619838,
           -1.181120549599286,
           -1.1289215295432218,
           -1.0748798110542541,
           -1.0190836045060605,
           -0.9616239840607257,
           -0.9025947390116422,
           -0.8420922206945818,
           -0.7802151852168251,
           -0.717064632261101,
           -0.6527436402273921,
           -0.5873571979817234,
           -0.5210120334865875,
           -0.4538164395926829,
           -0.3858800972763383,
           -0.31731389661118037,
           -0.24822975576619477,
           -0.1787404383256863,
           -0.10895936922930272,
           -0.03900044963252913,
           0.031022129010102262,
           0.10099407133566807,
           0.1708011646331027,
           0.24032946526853927,
           0.30946548467145263,
           0.3780963745780115,
           0.44611011122928446,
           0.5133956782236293,
           0.5798432477248223,
           0.6453443597301218,
           0.7097920991056696,
           0.7730812701002616,
           0.8351085680526253,
           0.8957727480119462,
           0.9549747899963896,
           1.0126180606199062,
           1.0686084708234516,
           1.1228546294532205,
           1.175267992435176,
           1.2257630073023784,
           1.2742572528392442,
           1.320671573614757,
           1.3649302091850544,
           1.4069609177545246,
           1.4466950940934922,
           1.4840678815201114,
           1.5190182777636099,
           1.55148923453613,
           1.581427750650615,
           1.608784958532761,
           1.633516203985821,
           1.6555811190780578,
           1.6749436880338853,
           1.6915723060211365,
           1.705439830738504,
           1.7165236267189545,
           1.724805602276796,
           1.7302722390380918,
           1.7329146140062206,
           1.732728414126568,
           1.7297139433265698,
           1.7238761220196246,
           1.7152244790736755,
           1.703773136257581,
           1.6895407851906503,
           1.6725506568329842,
           1.6528304835663987,
           1.6304124539278515,
           1.6053331600692349,
           1.5776335380293092,
           1.547358800915266,
           1.5145583651029797,
           1.4792857695764163,
           1.441598588537857,
           1.4015583374315752,
           1.3592303725343697,
           1.3146837842768333,
           1.2679912844695092,
           1.219229087617987,
           1.1684767865206767,
           1.1158172223523222,
           1.0613363494452912,
           1.0051230949893886,
           0.9472692138791574,
           0.887869138945641,
           0.8270198268170303,
           0.7648205996598056,
           0.7013729830587048,
           0.6367805403001219,
           0.5711487033294489,
           0.5045846006582488,
           0.43719688250220656,
           0.3690955434352592,
           0.300391742849345
          ],
          [
           -1.8711406133234303,
           -1.828540290294784,
           -1.7829553060303884,
           -1.734460067277639,
           -1.6831337310887333,
           -1.6290600756154654,
           -1.5723273633611181,
           -1.5130281971127086,
           -1.4512593687887705,
           -1.3871217014493507,
           -1.3207198847260972,
           -1.2521623039411258,
           -1.1815608631935008,
           -1.1090308027021543,
           -1.0346905107033897,
           -0.9586613302099734,
           -0.8810673609472399,
           -0.8020352567895586,
           -0.7216940190276846,
           -0.6401747858045699,
           -0.5576106180632321,
           -0.47413628235610794,
           -0.3898880308704138,
           -0.30500337902854824,
           -0.21962088102655475,
           -0.1338799036770526,
           -0.047920398925737295,
           0.03811732458719774,
           0.1240928305478528,
           0.2098657841978273,
           0.29529618139765024,
           0.38024457715054893,
           0.46457231321355863,
           0.5481417444244343,
           0.6308164633749573,
           0.7124615230638831,
           0.7929436571661324,
           0.8721314975586756,
           0.9498957887480364,
           1.026109598849437,
           1.1006485267731958,
           1.1733909052801987,
           1.2442179995750067,
           1.313014201112428,
           1.3796672163012356,
           1.444068249797008,
           1.506112182084884,
           1.565697741062411,
           1.6227276673423998,
           1.677108873005952,
           1.7287525935465586,
           1.7775745327572483,
           1.8234950003242822,
           1.8664390419028207,
           1.9063365614622276,
           1.9431224357013306,
           1.9767366203468664,
           2.007124248161609,
           2.0342357185022117,
           2.05802677828057,
           2.0784585941965616,
           2.0954978161242614,
           2.109116631548165,
           2.1192928109605673,
           2.126009744145996,
           2.1292564672934775,
           2.129027680892373,
           2.1253237583825824,
           2.11815074554499,
           2.1075203506331555,
           2.093449925262343,
           2.075962436087101,
           2.0550864273136082,
           2.0308559741079817,
           2.0033106269765955,
           1.9724953472091973,
           1.9384604334901974,
           1.9012614397979126,
           1.8609590847257858,
           1.8176191523735894,
           1.771312384970377,
           1.7221143674044654,
           1.670105403848905,
           1.6153703866838418,
           1.5579986579297058,
           1.4980838634174063,
           1.4357237999335837,
           1.3710202555903868,
           1.3040788436803643,
           1.2350088302876459,
           1.1639229559368025,
           1.090937251570499,
           1.0161708491563175,
           0.9397457872318857,
           0.8617868117057155,
           0.7824211722389016,
           0.7017784145400183,
           0.6199901689122767,
           0.5371899353980698,
           0.45351286587159123
          ]
         ]
        }
       ],
       "layout": {
        "autosize": false,
        "height": 500,
        "margin": {
         "b": 65,
         "l": 65,
         "r": 50,
         "t": 90
        },
        "scene": {
         "aspectmode": "auto",
         "aspectratio": {
          "x": 1,
          "y": 1,
          "z": 1
         }
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "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": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "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": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "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": "Loss function"
        },
        "width": 500
       }
      },
      "text/html": [
       "<div>                            <div id=\"975eda48-1bb4-4ee2-b7a1-de06351ec1a0\" class=\"plotly-graph-div\" style=\"height:500px; width:500px;\"></div>            <script type=\"text/javascript\">                require([\"plotly\"], function(Plotly) {                    window.PLOTLYENV=window.PLOTLYENV || {};                                    if (document.getElementById(\"975eda48-1bb4-4ee2-b7a1-de06351ec1a0\")) {                    Plotly.newPlot(                        \"975eda48-1bb4-4ee2-b7a1-de06351ec1a0\",                        [{\"colorscale\": [[0.0, \"rgb(214, 249, 207)\"], [0.09090909090909091, \"rgb(186, 228, 174)\"], [0.18181818181818182, \"rgb(156, 209, 143)\"], [0.2727272727272727, \"rgb(124, 191, 115)\"], [0.36363636363636365, \"rgb(85, 174, 91)\"], [0.45454545454545453, \"rgb(37, 157, 81)\"], [0.5454545454545454, \"rgb(7, 138, 78)\"], [0.6363636363636364, \"rgb(13, 117, 71)\"], [0.7272727272727273, \"rgb(23, 95, 61)\"], [0.8181818181818182, \"rgb(25, 75, 49)\"], [0.9090909090909091, \"rgb(23, 55, 35)\"], [1.0, \"rgb(17, 36, 20)\"]], \"contours\": {\"x\": {\"show\": true}, \"y\": {\"show\": true}}, \"showscale\": false, \"type\": \"surface\", \"x\": [[-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0]], \"y\": [[-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, -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, -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], [-1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596], [-1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191], [-1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879], [-1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385], [-1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798], [-1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576], [-1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171], [-1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767], [-1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362], [-1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596], [-1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556], [-1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151], [-1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747], [-1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343], [-1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394], [-1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534], [-1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131], [-1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727], [-1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323], [-1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918], [-1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514], [-1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112], [-1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705], [-1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303], [-0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898], [-0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494], [-0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909], [-0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685], [-0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283], [-0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878], [-0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474], [-0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707], [-0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665], [-0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261], [-0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856], [-0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454], [-0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505], [-0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453], [-0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241], [-0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365], [-0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432], [-0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303], [-0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254], [-0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221], [-0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166], [-0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121], [-0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077], [-0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055], [-0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011], [0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332], [0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996], [0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122], [0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144], [0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821], [0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232], [0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263], [0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032], [0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434], [0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841], [0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243], [0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465], [0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052], [0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459], [0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861], [0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263], [0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667], [0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072], [0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478], [0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881], [0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287], [0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869], [0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092], [0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498], [0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901], [1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307], [1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071], [1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112], [1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518], [1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192], [1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327], [1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273], [1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136], [1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538], [1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394], [1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347], [1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475], [1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156], [1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558], [1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965], [1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367], [1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677], [1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176], [1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578], [1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985], [1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387], [1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879], [1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196], [1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598], [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, 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, 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]], \"z\": [[1.2782690298103492, 1.0403307992322688, 0.8006944737173178, 0.5597512031106624, 0.3178942705374328, 0.07551845046067385, -0.16698063569497235, -0.4092071653020328, -0.6507657606173796, -0.8912621341432607, -1.130303732208744, -1.36750037572111, -1.6024648970412811, -1.8348137719438, -2.0641677456297605, -2.290152451770913, -2.512399023574513, -2.730544695871444, -2.944233397244906, -3.153116331233097, -3.356852545657283, -3.555109489145895, -3.747563553946294, -3.9339006041381968, -4.113816488386546, -4.287017536396926, -4.453221038263113, -4.612155705924409, -4.763562115979482, -4.907193133133944, -5.042814313590509, -5.1702042877232515, -5.2891551214113655, -5.399472655442634, -5.500976822432602, -5.593501940742157, -5.6768969849137685, -5.751025832184972, -5.8157674846767105, -5.871016266893856, -5.916681998215575, -5.95269014009393, -5.97898191772051, -5.995514415962456, -6.002260649411296, -5.9992096064302824, -5.986366267128281, -5.963751595230923, -5.9314025038622615, -5.889371795292791, -5.837728074752187, -5.7765556384474115, -5.705954335969051, -5.626039407310344, -5.536941294765061, -5.438805430011201, -5.331791996728016, -5.2160756691339065, -5.091845326871917, -4.959303746708199, -4.8186672715467305, -4.670165457300484, -4.514040698195482, -4.350547831119332, -4.179953719660043, -4.0025368185140815, -3.818586718974693, -3.6284036762423395, -3.432298119328808, -3.230590144355004, -3.0236089920694265, -2.8116925104402313, -2.595186603197998, -2.374444665229392, -2.149827005743276, -1.9217002601507902, -1.6904367916194492, -1.4564140832779677, -1.220014122063998, -0.9816227752204614, -0.7416291604581455, -0.500425010812751, -0.25840403523297883, -0.015961275943426223, 0.22650753636876608, 0.46860662849103774, 0.7099408306919379, 0.9501162217426078, 1.188740771900382, 1.425424982805004, 1.6597825232428942, 1.8914308597418907, 2.1199918809669978, 2.3450925148980315, 2.5663653377818605, 2.7834491738650735, 2.9959896849283196, 3.203639948659988, 3.4060610249251275, 3.6029225090053707], [1.4313901528325963, 1.2084251911950812, 0.9834877601273888, 0.7569450169924328, 0.5291667394468882, 0.3005247218662692, 0.07139216847820862, -0.15785691580552008, -0.3868483358639083, -0.6152083171520975, -0.8425641158002541, -1.0685446270301306, -1.2927809908961843, -1.5149071943625385, -1.7345606687330286, -1.9513828814591916, -2.165019921360178, -2.3751230762993707, -2.581349402374806, -2.7833622836942933, -2.9808319818215505, -3.173436173996524, -3.3608604792513592, -3.542798971563263, -3.718954679206656, -3.8890400694895613, -4.052777518082981, -4.2098997621772, -4.360150336725362, -4.50328399306225, -4.639067099214935, -4.767278021251935, -4.887707485048403, -5.000158917876829, -5.104448769265693, -5.200406810602379, -5.287876412991292, -5.366714802913603, -5.436793295271401, -5.497997503435794, -5.5502275259561396, -5.593398109625603, -5.627438788636956, -5.652293999601408, -5.667923172242727, -5.674300795618668, -5.671416459761586, -5.659274872670248, -5.637895852625123, -5.607314295839721, -5.5675801195007555, -5.518758180290066, -5.460928168521395, -5.394184478064702, -5.318636052270431, -5.234406206145142, -5.141632425068808, -5.040466140382351, -4.931072482211625, -4.8136300099313925, -4.6883304207092396, -4.555378236605072, -4.414990470737067, -4.267396273058869, -4.112836556326281, -3.9515636028639456, -3.783840652773888, -3.6099414742580653, -3.4301499167562706, -3.244759447628806, -3.0540726731401384, -2.858400844525481, -2.6580633499464685, -2.4533871931652316, -2.2447064597877993, -2.032361771948044, -1.816699732322311, -1.5980723583821885, -1.3768365078089273, -1.153353296007356, -0.9279875066700352, -0.7011069963538508, -0.473082094040814, -0.24428499666327674, -0.015089161580106314, 0.21413130300447314, 0.44300224868436544, 0.6711500975607492, 0.8982024520199818, 1.1237887025849638, 1.3475406328477977, 1.569093020496342, 1.7880842334535716, 2.004156820156748, 2.2169580930129094, 2.42614070407823, 2.631363212021753, 2.832290639447902, 3.0285950196681415, 3.2199559320293685], [1.553839783788327, 1.3463231111174334, 1.136608883149636, 0.9250394089552452, 0.7119600258569583, 0.4977185357480396, 0.282664637387664, 0.06714935560007529, -0.14847553169072736, -0.3638580676555847, -0.5786466910467838, -0.7924908100389692, -1.0050413744876945, -1.2159514456715592, -1.4248767625879317, -1.6314763038779283, -1.835412844463446, -2.036353505987649, -2.233970300160473, -2.42794066412222, -2.6179479869514504, -2.80368212645772, -2.9848399154156247, -3.161125656413892, -3.332251604511721, -3.4979384369146294, -3.6579157089030905, -3.8119222952698344, -3.9597068165452303, -4.101028049315038, -4.235655319960813, -4.36336888118024, -4.483960270672829, -4.597232651405512, -4.70300113290273, -4.801093073036574, -4.891348359824379, -4.9736196727738236, -5.047772723348924, -5.1136864741644255, -5.17125333655083, -5.220379346167542, -5.260984316377522, -5.29300196913308, -5.316380043159172, -5.331080379257621, -5.337078982593017, -5.334366061858633, -5.32294604525843, -5.302837573279049, -5.274073468263618, -5.236700680836998, -5.190780213269964, -5.136387019907355, -5.073609884822775, -5.002551276899499, -4.9233271825741785, -4.836066916516292, -4.740912910552417, -4.638020481179837, -4.527557576048947, -4.4097044998282655, -4.284653619899576, -4.152609052363457, -4.013786328867864, -3.868412044803482, -3.7167234894401258, -3.5589682586079294, -3.3954038505554656, -3.226297245644532, -3.051924470567601, -2.8725701477992835, -2.6885270310171805, -2.5000955272504815, -2.3075832065362696, -2.1113042998838836, -1.9115791863668345, -1.7087338701794406, -1.5030994485117892, -1.2950115711115768, -1.0848098924149645, -0.8728375171407454, -0.6594404402527037, -0.44496698220437647, -0.22976722038794417, -0.014192417715377381, 0.20140555073549304, 0.4166747720741846, 0.6312638700124094, 0.8448225784031052, 1.0570023129673976, 1.2674567402763053, 1.475842343058475, 1.6818189809111992, 1.8850504454994832, 2.0852050093369465, 2.2819559672528023, 2.4749821696610588, 2.663968546761575, 2.848606622817283], [1.6448187682206368, 1.4531245829320731, 1.2590585141053667, 1.0629373288775956, 0.8650811488792054, 0.6658129277108502, 0.4654579237977341, 0.2643431694818448, 0.06279693721872537, -0.13885179624999022, -0.3402738868736028, -0.5411405605424573, -0.7411239497342259, -0.9398976286803977, -1.1371371461794428, -1.3325205551869526, -1.525728938318351, -1.7164469284063877, -1.904363223263743, -2.089171093810501, -2.2705688847371177, -2.448260506885648, -2.621955920545529, -2.7913716088750897, -2.9562310406759886, -3.11626512176526, -3.2712126342081573, -3.4208206626949025, -3.564845007365342, -3.703050582407677, -3.8352117997806827, -3.9611129374330303, -4.080548491418711, -4.193323511333819, -4.299253918527156, -4.39816680656526, -4.489900723461422, -4.57430593520802, -4.651244670182014, -4.72059134402465, -4.782232764628355, -4.836068316896173, -4.882010126972215, -4.919983205675022, -4.9499255708997385, -4.971788348789294, -4.985535853509465, -4.991145645497588, -4.988608568089861, -4.977928762467437, -4.9591236608969265, -4.932223958276325, -4.897273562032828, -4.8543295204542884, -4.803461929571346, -4.744753818742154, -4.6783010151265225, -4.6042119872706495, -4.522607668057788, -4.433621257313778, -4.3373980043897395, -4.234094971076712, -4.123880775239283, -4.006935315586652, -3.8834494780303754, -3.753624824108071, -3.617673261981712, -3.4758167005474667, -3.3282866872217034, -3.175324029994397, -3.017178404366796, -2.8541079458150094, -2.686378828444643, -2.514264830524284, -2.3380468876069815, -2.1580126339691335, -1.9744559331153049, -1.7876763981152801, -1.5979789025563118, -1.4056730829088289, -1.2110728331178255, -1.0144957922449644, -0.816262825997633, -0.6166975029912702, -0.41612556659983113, -0.2148744032564771, -0.013272508072342148, 0.18835105135433405, 0.38966717206353696, 0.5903472529165432, 0.7900637309598251, 0.9884906160944467, 1.1853040231780776, 1.3801827006911624, 1.5728085551043898, 1.7628671700914014, 1.9500483197393796, 2.1340464749197787, 2.3145613019926277, 2.4912981530304434], [1.7037333414907416, 1.5281325782238229, 1.3500374985376764, 1.1697388006922371, 0.9875307798349362, 0.8037108476332024, 0.6185790468199812, 0.4324375614446563, 0.24559022362879812, 0.05834201763178015, -0.12900141796414832, -0.31613428913686104, -0.5027511455610432, -0.6885473791838859, -0.8732197214259734, -1.0564667381957893, -1.2379893219098603, -1.4174911797154102, -1.5946793171186444, -1.7692645162292369, -1.9409618078403876, -2.109490936573928, -2.274576818331194, -2.435949989303016, -2.5933470458058907, -2.7465110742264542, -2.895192070372423, -3.039147347545533, -3.178141932670407, -3.3119489498327432, -3.4403499906007946, -3.5631354705256673, -3.6801049712385767, -3.7910675675866075, -3.8958421392730385, -3.9942576664935645, -4.086153509085845, -4.171379668736706, -4.249797033819054, -4.3212776064588425, -4.385704711461443, -4.442973186756398, -4.492989555049736, -4.535672176403652, -4.570951381494432, -4.598769585331235, -4.619081381250028, -4.63185361502926, -4.637065439006308, -4.634708346106388, -4.6247861837283555, -4.607315147464711, -4.582323754666135, -4.549852797893615, -4.509955278334208, -4.462696319289086, -4.408153059875093, -4.3464145291133045, -4.277581500610132, -4.201766328068135, -4.11909276189511, -4.029695747210651, -3.9337212035800757, -3.8313257868350976, -3.722676633370081, -3.607951087331265, -3.487336411144221, -3.361029479852055, -3.2292364597632894, -3.0921724719339334, -2.950061241033034, -2.8031347301648744, -2.651632762243838, -2.4958026285400097, -2.335898685034444, -2.172181937242936, -2.004919614186017, -1.83438473220053, -1.660855649304783, -1.4846156108446684, -1.305952287162349, -1.1251573040422183, -0.942525766700494, -0.7583557780954902, -0.5729479523447605, -0.3866049240433709, -0.19963085428423177, -0.012330934186765674, 0.17498911325570177, 0.36202353219669003, 0.5484670330109527, 0.7340152906078821, 0.9183654411705025, 1.1012165765093038, 1.2822702352239892, 1.461230889871361, 1.637806429344283, 1.81170863567423, 1.9826536544792015, 2.15036245828916], [1.7301990039195645, 1.5708575653111794, 1.4089520718077813, 1.244746795983986, 1.0785097642672459, 0.9105123194478439, 0.741028677775712, 0.5703354813670085, 0.39871134665104524, 0.22643640959459166, 0.05379186844592265, -0.11894047525509155, -0.29147867665158866, -0.4635411077782896, -0.6348469172527906, -0.8051164886992765, -0.9740718971563909, -1.141437362724247, -1.3069397007101555, -1.4703087675382593, -1.631277901695289, -1.7895843589926637, -1.9449697414344622, -2.0971804189912957, -2.245967943591556, -2.391089454654382, -2.5323080755023253, -2.6693933000067274, -2.8021213688346727, -2.930275634683372, -3.0536469159058575, -3.1720338379507336, -3.2852431620586886, -3.3930901006792444, -3.495398619092904, -3.5920017227463528, -3.6827417298317253, -3.7674705286650085, -3.846049819443477, -3.9183513399875283, -3.9842570750984834, -4.04365944919059, -4.0964615018828265, -4.142577046263874, -4.181930809571952, -4.2144585560598635, -4.2401071918447215, -4.2588348515712005, -4.270610966746872, -4.275416315638061, -4.273243054644802, -4.264094731103664, -4.247986277497564, -4.224943987082, -4.195005470967515, -4.158219596728412, -4.114646408637954, -4.064357029660236, -4.0074335453587, -3.94396886991079, -3.8740665944474535, -3.7978408179650085, -3.715415961085446, -3.6269265629690364, -3.5325170617108737, -3.4323415585797097, -3.3265635664839266, -3.2153557430752486, -3.0988996089257985, -2.9773852512385215, -2.85101101357462, -2.7199831721044108, -2.584515598910076, -2.4448294128898747, -2.301152618833639, -2.1537197352586617, -2.0027714116134794, -1.8485540354743324, -1.691319330375495, -1.5313239449299183, -1.3688290339108202, -1.2040998319780578, -1.0374052207450175, -0.869017289892744, -0.6992108930476224, -0.5282631991475908, -0.3564532400291611, -0.18406145497365944, -0.011369232956187858, 0.1613415466555903, 0.3337889742031175, 0.5056915698880315, 0.67676874322163, 0.8467412510227392, 1.015331653216414, 1.1822647656895025, 1.347268109463883, 1.5100723554541897, 1.670411764084105, 1.8280246190436111], [1.7240430301838878, 1.5810207041226345, 1.4354177342366041, 1.2874717830713425, 1.1374243375373507, 0.9855203147395928, 0.8320076622080217, 0.67713695318165, 0.521160977606776, 0.3643343295169439, 0.20691299146816977, 0.049153916707720846, -0.10868539024151769, -0.2663472938965201, -0.42357444834333613, -0.5801102172936812, -0.7356990929832081, -0.8900871132277342, -1.0430222759566843, -1.194254950547096, -1.3435382852868, -1.4906286103016861, -1.6352858352893653, -1.7772738414100315, -1.916360866694824, -2.0523198843426593, -2.1849289732879904, -2.3139716804346553, -2.4392373739645747, -2.560521587144568, -2.677626352070125, -2.7903605228013624, -2.8985400873637515, -3.0019884681043107, -3.1005368099130157, -3.1940242558389897, -3.282298209651593, -3.365214584917799, -3.4426380401893577, -3.5144421999158313, -3.5805098607229064, -3.6407331827192757, -3.695013865519864, -3.7432633086980687, -3.785402756405042, -3.821363425920086, -3.8510866199222415, -3.874523822299829, -3.891636777341563, -3.9023975521799996, -3.9067885823853667, -3.9048027006353356, -3.8964431484140105, -3.881723570720953, -3.860667993798944, -3.8333107859167974, -3.799696601271262, -3.7598803070995626, -3.713926894121562, -3.661911370457722, -3.6039186391960225, -3.540043359807663, -3.47038979363779, -3.395071633723394, -3.314211819216244, -3.22794233471365, -3.136403994824719, -3.0397462143236935, -2.9381267642655042, -2.8317115144617153, -2.720674162737129, -2.605195951408999, -2.48546537145166, -2.361677854829411, -2.234035455499877, -2.1027465196085267, -1.9680253454126744, -1.8300918334900582, -1.6891711278029575, -1.5454932482037207, -1.3992927149815322, -1.2508081660633077, -1.1002819674934887, -0.9479598178285835, -0.7940903470921459, -0.6389247109448446, -0.48271618073202305, -0.32571973007787935, -0.1681916187011172, -0.010388974131303463, 0.14743062799122786, 0.3050095843469318, 0.46209068441379486, 0.6184175303028887, 0.7737349552675417, 0.9277894402029379, 1.0803295274563105, 1.231106231272331, 1.3798734442037048, 1.5263883388235744], [1.6853055965897483, 1.5585556660166562, 1.4292617605009275, 1.2976349218827976, 1.1638899999661736, 1.0282453018269493, 0.8909222354781265, 0.7521449484733989, 0.6121399620390857, 0.4711358013315854, 0.3293626224239006, 0.18705183663007308, 0.04443573278072943, -0.09825290193370773, -0.24078116193326515, -0.3829164034119108, -0.5244266240737536, -0.6650808418221388, -0.8046494717835033, -0.9429047010505833, -1.0796208605333288, -1.2145747933105229, -1.3475462188808756, -1.478318092719054, -1.606676960549727, -1.7324133067613978, -1.8553218963912586, -1.9752021101229325, -2.09185827175024, -2.2050999675724947, -2.314742357200025, -2.4206064752625585, -2.522519523528019, -2.6203151529549396, -2.7138337352180786, -2.802922623264056, -2.8874364004717026, -2.967237118010434, -3.0421945200092253, -3.1121862561686218, -3.1770980814687872, -3.2368240426475787, -3.2912666511442894, -3.3403370422267518, -3.3839551200420805, -3.422049688354281, -3.454558566755332, -3.4814286921600517, -3.502616205419086, -3.5180865229086304, -3.5278143929800576, -3.531783937177276, -3.529988676154575, -3.522431540252625, -3.5091248647153908, -3.490090369555751, -3.46535912410269, -3.434971496287948, -3.3989770867548694, -3.357434647897048, -3.310411987958884, -3.2579858603545953, -3.200241838386359, -3.1372741755660485, -3.069185651768588, -2.996087405468008, -2.9180987523300894, -2.835346990457634, -2.7479671926062967, -2.65610198571016, -2.5599013180768346, -2.4595222146321927, -2.355128520614169, -2.246890634133999, -2.134985228041461, -2.019594961548063, -1.9009081820789122, -1.7791186178399223, -1.6544250616021525, -1.5270310462194465, -1.3971445124089947, -1.26497746933711, -1.1307456485642007, -0.9946681519138334, -0.8569670938406162, -0.7178672388806842, -0.5775956347765465, -0.43638124187513316, -0.29445455940397913, -0.15204724923552337, -0.00939175775370149, 0.13327906356003716, 0.27573233820190524, 0.417735544761789, 0.5590568964597065, 0.6994657194830873, 0.8387328295074381, 0.9766309057857665, 1.1129348621961324, 1.2474222146417158], [1.614239518866062, 1.5036090666684947, 1.390524326906788, 1.2751698837768184, 1.157734026230497, 1.0384084406384044, 0.9173878979069494, 0.7948699355607554, 0.6710545353091906, 0.5461437966233342, 0.42034160685621114, 0.2938533084447137, 0.16688536373646023, 0.039645017988644504, -0.08766003891101803, -0.2148220114490984, -0.34163333766368265, -0.4678870279403684, -0.5933770028740479, -0.717898429644988, -0.8412480563601479, -0.9632245438140101, -1.0836287941274052, -1.2022642757278907, -1.3189373441412373, -1.4334575580704185, -1.5456379902461617, -1.655295532541671, -1.762251194853508, -1.8663303972607732, -1.9673632549856923, -2.065184855690485, -2.159635528657919, -2.2505611054161356, -2.3378131713823462, -2.421249308114685, -2.5007333257767677, -2.5761354854355023, -2.647332710829335, -2.7142087892612565, -2.776654561288655, -2.834568098900369, -2.887854871890168, -2.936427902155057, -2.9802079056665054, -3.019123421882964, -3.0531109303923696, -3.0821149545942466, -3.106088152252174, -3.124991392768851, -3.1387938210575803, -3.147472907905905, -3.1510144867492658, -3.1494127767945646, -3.1426703924559556, -3.1307983390874226, -3.113815995019138, -3.091751079926901, -3.0646396095862984, -3.0325258370854336, -2.9954621805921913, -2.953509137793921, -2.9067351871492204, -2.8552166761129807, -2.799037696517157, -2.738289947310661, -2.6730725848824335, -2.6034920612119916, -2.529661950111667, -2.4517027618441007, -2.369741746417627, -2.2839126858806376, -2.1943556759538767, -2.101216897357193, -2.0046483772039703, -1.9048077408526511, -1.8018579546204965, -1.6959670597794587, -1.5873078982683904, -1.4760578305693106, -1.3623984462081897, -1.246515267352836, -1.1285974459916632, -1.0088374551876358, -0.8874307749113282, -0.764575572965934, -0.6404723815250168, -0.5153237698109727, -0.3893340134485026, -0.2627087610327772, -0.13565469845656342, -0.00837921154418364, 0.11890995245697589, 0.24600502397489432, 0.37269855024781684, 0.4987837339419876, 0.6240547706996002, 0.748307185065916, 0.87133816424726, 0.9929468891551485], [1.511308602189739, 1.4165395091986204, 1.3194582491831017, 1.2202232844286578, 1.1189965926363574, 1.0159434025324252, 0.9112319241712727, 0.8050330743722105, 0.6975201977380134, 0.5888687837106907, 0.4792561801263151, 0.36886130373646253, 0.2578643481687708, 0.14644648980328512, 0.03478959204471277, -0.07692409152674706, -0.18851221464143553, -0.299792635977556, -0.41058371646397784, -0.5207046157632176, -0.6299755874506925, -0.7382182724084148, -0.8452559899542225, -0.950914026231378, -1.055019919387767, -1.157403741079257, -1.257898373837672, -1.3563397838506916, -1.4525672887084111, -1.54642381967951, -1.6377561780889591, -1.7264152853787635, -1.8122564264435863, -1.8951394858440622, -1.974929176512246, -2.051495260575881, -2.124712761941033, -2.194462170286129, -2.2606296361344, -2.3231071566863255, -2.3817927521087645, -2.4365906319930044, -2.487411351710038, -2.5341719584078453, -2.576796126412384, -2.6152142818112694, -2.649363716016795, -2.6791886881229297, -2.7046405158892144, -2.725677655203048, -2.742265767890668, -2.754377777766128, -2.7619939148267885, -2.7651017475231936, -2.763696203050646, -2.757779575629362, -2.747361522759702, -2.7324590494585728, -2.713096480502745, -2.6893054207243865, -2.6611247034236203, -2.6286003269823066, -2.591785379782528, -2.5507399535523065, -2.5055310452800184, -2.4562324478575928, -2.402924629631003, -2.345694603054645, -2.284635782664011, -2.2198478325984583, -2.1514365039229975, -2.079513462014578, -2.004196104294669, -1.9256073686056379, -1.8438755325436778, -1.759134004075845, -1.6715211037830056, -1.5811798390840477, -1.4882576708099746, -1.392906272508847, -1.2952812828744276, -1.1955420517027, -1.0938513797908582, -0.9903752532033616, -0.8852825723387907, -0.7787448762397364, -0.6709360625957288, -0.5620321038962226, -0.4522107601969729, -0.34165128896861674, -0.2305341525010869, -0.11904072334143567, -0.0073529882458860385, 0.10434674887067352, 0.2158761645028875, 0.32705321315509295, 0.4376964244877115, 0.5476251995248163, 0.6566601054394221, 0.764623168435298], [1.3771846142106523, 1.2979152437876955, 1.2165273325067796, 1.1331537269587835, 1.047930514912672, 0.9609968031842646, 0.8724944905771332, 0.7825680362662322, 0.6913642240023377, 0.5990319225221459, 0.505721842555138, 0.41158629082381903, 0.31677892143887476, 0.22145448509503396, 0.12576857647702244, 0.02987738028789355, -0.06606258368570472, -0.16189471605520556, -0.2574625934417307, -0.35261022380040696, -0.4471823010406224, -0.5410244585266453, -0.6339835210447697, -0.7259077548257835, -0.816647115214586, -0.9060534915827452, -0.9939809490842033, -1.0802859668595302, -1.1648276722999222, -1.2474680709885342, -1.3280722719438636, -1.406508707797502, -1.4826493495468562, -1.5563699155323434, -1.6275500742979134, -1.6960736410038089, -1.7618287670709374, -1.8247081227473272, -1.8846090722986677, -1.9414338415369556, -1.9950896774138316, -2.0454889994180725, -2.0925495425301497, -2.1361944915004845, -2.176352606232254, -2.21295833806406, -2.245951936762678, -2.275279548051237, -2.3008933015136392, -2.3227513887317333, -2.340818131527711, -2.3550640402003244, -2.365465861659879, -2.3720066173834184, -2.374675631128171, -2.3734685463579934, -2.368387333354395, -2.359440286000515, -2.3466420082433115, -2.33001339025606, -2.309581574340069, -2.2853799106212613, -2.2574479026139582, -2.225831142740694, -2.1905812379133276, -2.151755725296921, -2.109417978393866, -2.0636371036015784, -2.0144878274125815, -1.9620503744411129, -1.9064103364753415, -1.8476585327689357, -1.7858908618000395, -1.7212081447395784, -1.6537159608844703, -1.5835244753242916, -1.510748259122713, -1.4355061023072415, -1.3579208199724855, -1.278119051813436, -1.1962310554160136, -1.1123904936422373, -1.026734216457096, -0.9394020375532266, -0.8505365061379857, -0.7602826742554623, -0.6687878600231913, -0.576201407170025, -0.4826744412676849, -0.3883596230538666, -0.2934108992495572, -0.19798325127727523, -0.10223244229040862, -0.00631476292657851, 0.08961322380002645, 0.18539493805087393, 0.28087403874278394, 0.3758946787379225, 0.47030175922753514, 0.5639411828942009], [1.212742900831722, 1.1485104590523791, 1.082403344527692, 1.0145294615478577, 0.9449995982363482, 0.8739272457143903, 0.8014284128534479, 0.7276214369180707, 0.6526267904081973, 0.5765668844161675, 0.4995658688194613, 0.4217494296352742, 0.34324458386769763, 0.26417947218239046, 0.1846831497471273, 0.10488537557964239, 0.02491640074660495, -0.055093244240564054, -0.13501296248599992, -0.21471230387805473, -0.2940611780183753, -0.37293006656383376, -0.45119023463469876, -0.5287139409440131, -0.6053746463051315, -0.6810472201771489, -0.7556081449110206, -0.8289357173630183, -0.9009102475464528, -0.9714142539973709, -1.0403326555353747, -1.1075529591065245, -1.1729654434017576, -1.2364633379510792, -1.2979429974011834, -1.3573040706920887, -1.4144496648566025, -1.469286503175255, -1.5217250774285698, -1.57167979399815, -1.6190691135780972, -1.663815684268703, -1.7058464678352125, -1.745092858925551, -1.7814907970523657, -1.814980871156697, -1.8455084165825433, -1.8730236043040254, -1.89748152225952, -1.9188422486600363, -1.9370709171521339, -1.9521377737290078, -1.964018225296919, -1.972692879817613, -1.9781475779612592, -1.980373416218216, -1.9793667614319177, -1.9751292567291436, -1.9676678188380023, -1.9569946267980007, -1.9431271020806333, -1.926087880152933, -1.9059047735304055, -1.8826107263796468, -1.8562437607447562, -1.8268469144853061, -1.7944681710271733, -1.7591603810409042, -1.7209811761754432, -1.679992874988045, -1.6362623812239119, -1.5898610746115902, -1.5408646943523836, -1.489353215493936, -1.4354107183898406, -1.3791252514582304, -1.3205886874635056, -1.2598965735556864, -1.1971479753121912, -1.1324453150366298, -1.0658942045785227, -0.9976032729468254, -0.9276839889986821, -0.856250479492763, -0.7834193428042235, -0.7093094586053272, -0.6340417938223863, -0.5577392051857508, -0.48052623869514743, -0.402528926327669, -0.32387458032026917, -0.2446915853625251, -0.16510918903887983, -0.08525729086241807, -0.005266230244497017, 0.07473342625362012, 0.154611098039922, 0.23423640363370257, 0.3134793734826058, 0.39221066210730626], [1.019056673357238, 0.9693002293858912, 0.9179616311487617, 0.8651246768125422, 0.8108756102572614, 0.7553029803034645, 0.698497496177124, 0.6405518794481964, 0.5815607126845119, 0.5216202850680061, 0.4608284352253218, 0.39928439152929585, 0.33708861013202096, 0.2743426109938456, 0.21114881217595016, 0.1476103626669989, 0.0838309740167098, 0.019914751051184787, -0.04403397805369025, -0.10791083206341323, -0.17161154706264448, -0.23503214664148153, -0.29806911161245164, -0.36061954898120163, -0.4225813598950605, -0.48385340629537943, -0.5443356760015661, -0.603929445957422, -0.66253744337327, -0.7200640045008582, -0.7764152307819034, -0.8314991421153612, -0.8852258269932687, -0.9375075892601017, -0.9882590912560847, -1.0373974931108245, -1.0848425879598707, -1.1305169328635323, -1.174345975214235, -1.2162581744260779, -1.2561851187079993, -1.2940616367298974, -1.3298259039994802, -1.3634195437761796, -1.3947877223574285, -1.4238792385817634, -1.4506466074026552, -1.4750461373966626, -1.4970380020793876, -1.5165863049128268, -1.5336591378980144, -1.548228633657313, -1.560271010921342, -1.5697666133462962, -1.5766999415982994, -1.5810596786524107, -1.582838708265006, -1.5820341265893663, -1.578647246915525, -1.5726835975266296, -1.5641529126753242, -1.5530691166948736, -1.53945030127097, -1.5233186959113185, -1.5047006316612035, -1.483626498124259, -1.4601306938586018, -1.4342515702292897, -1.4060313688087507, -1.375516152427371, -1.3427557299867736, -1.3078035751585224, -1.2707167391009526, -1.2315557573365905, -1.1903845509421846, -1.147270322212588, -1.1022834449688759, -1.055497349689627, -1.0069884036529837, -0.9568357862850747, -0.9051213599182284, -0.8519295361700192, -0.7973471381611912, -0.7414632587973511, -0.6843691153458078, -0.6261579005448636, -0.5669246304886242, -0.5067659895356158, -0.44578017249434243, -0.38406672434339484, -0.3217263777477317, -0.2588608886363275, -0.1955728701095918, -0.13196562494766795, -0.06814297699296823, -0.0042091016822194405, 0.05973164399539854, 0.12357489183644876, 0.18721643277974387, 0.25055238700308546], [0.7973900042937418, 0.7614541512389765, 0.7242754036742776, 0.6859144471460534, 0.6464338968783303, 0.6058981955681491, 0.5643735081980372, 0.5219276140372706, 0.478629796008188, 0.43455072759813174, 0.38976235750163557, 0.34433779218113436, 0.29835117653788146, 0.2518775728878673, 0.2049928384402735, 0.15777350147845404, 0.11029663644553267, 0.06263973813854129, 0.014880595216414605, -0.03290283677166439, -0.0806325626303348, -0.12823067482684003, -0.17561948065672084, -0.2227216290588494, -0.2694602368728134, -0.31575901433256703, -0.3615423895914951, -0.40673563207565255, -0.4512649744638155, -0.4950577330952628, -0.5380424266087225, -0.5801488926188485, -0.6213084022397974, -0.6614537722689384, -0.7005194748475958, -0.738441744419847, -0.7751586818147738, -0.8106103552822708, -0.844738898317503, -0.877488604114355, -0.9088060164936644, -0.9386400171578253, -0.96694190912938, -0.9936654962373757, -1.0187671585216962, -1.042205923432392, -1.063943532707718, -1.0839445048217289, -1.1021761928994973, -1.1186088380054617, -1.133215617717882, -1.1459726899101013, -1.1568592316672226, -1.1658574732746014, -1.1729527272227225, -1.1781334121810938, -1.1813910719020462, -1.1827203890235611, -1.1821191937486129, -1.179588467386852, -1.175132340752847, -1.1687580874235024, -1.1604761118656608, -1.150299932453259, -1.1382461594017679, -1.1243344676559308, -1.1085875647750492, -1.0910311538682427, -1.0716938916401793, -1.0506073416157564, -1.027805922620081, -1.0033268525978483, -0.9772100878638139, -0.9494982578835227, -0.9202365956907537, -0.8894728640552425, -0.8572572775212199, -0.8236424204439845, -0.788683161158354, -0.7524365624190152, -0.7149617882590209, -0.6763200074184641, -0.6365742935008969, -0.5957895220205449, -0.5540322645083169, -0.5113706798494517, -0.46787440303020844, -0.4236144314751522, -0.37866300916058027, -0.3330935086932598, -0.2869803115469267, -0.24039868665205333, -0.19342466753705434, -0.14613492822147034, -0.09860665806368019, -0.05091743576746932, -0.0031451027530717823, 0.04463236390060921, 0.0923369787352204, 0.13989087520583343], [0.5491895775156279, 0.5263287098734089, 0.5026087346107815, 0.47806836899913785, 0.45274766940384703, 0.42668796590166025, 0.3999317948191061, 0.3725228293019551, 0.34450580802910125, 0.315926462187206, 0.28683144082531253, 0.25726823471126004, 0.22728509881419523, 0.1969309735397058, 0.166255404846134, 0.13530846337247482, 0.104140662709856, 0.07280287694999643, 0.04134625764523747, 0.009822150315692113, -0.02171798936022995, -0.05322267953509119, -0.08464049622441028, -0.1159201572442079, -0.1470106059170826, -0.1778610944102148, -0.20842126656924798, -0.23864124011284016, -0.26847168805374455, -0.2978639192134924, -0.3267699576992671, -0.35514262121325313, -0.3829355980666165, -0.4101035227724257, -0.43660205009412456, -0.46238792742868373, -0.487419065406284, -0.5116546065912915, -0.5350549921724062, -0.5575820265330935, -0.5791989395969326, -0.5998704468461025, -0.6195628069150474, -0.6382438766653022, -0.655883163651596, -0.672451875893588, -0.6879229688719857, -0.7022711896723575, -0.7154731182045624, -0.7275072054305303, -0.7383538085379917, -0.7479952230027385, -0.7564157114870903, -0.7636015295273897, -0.7695409479686031, -0.774224272109399, -0.7776438575264693, -0.7797941225522442, -0.7806715573856532, -0.7802747298210468, -0.7786042875859349, -0.775662957283725, -0.7714555399431836, -0.7659889031818877, -0.7592719699964587, -0.7513157041978709, -0.7421330925156135, -0.7317391233999144, -0.7201507625566266, -0.7073869252547094, -0.6934684454515097, -0.6784180417862338, -0.6622602804971214, -0.6450215353228486, -0.626729944453615, -0.6074153646021747, -0.587109322269789, -0.5658449622866377, -0.5436569937106981, -0.5205816331733728, -0.4966565457643912, -0.47192078355240463, -0.4464147218416894, -0.4201799932689898, -0.39325941984802437, -0.36569694307264555, -0.3375375521927175, -0.3088272107797403, -0.2796127817021645, -0.24994195063279623, -0.21986314821316455, -0.18942547100191742, -0.15867860133624934, -0.12767272623719617, -0.09645845549114274, -0.06508673904127171, -0.03360878382378374, -0.002075970184640674, 0.029460231986750074, 0.060948347269993874], [0.27607524663713257, 0.26545842640560746, 0.2544083078326693, 0.2429429276335724, 0.23108100034035184, 0.21884188775474644, 0.20624556734462374, 0.1933125996354672, 0.18006409465017192, 0.1665216774518905, 0.15270745284622578, 0.13864396930033518, 0.12435418213787308, 0.10986141606983146, 0.09518932712244865, 0.08036186402431422, 0.0654032291157165, 0.0503378388440181, 0.03519028390956169, 0.019985289127147254, 0.004747673068592917, -0.010497692447734686, -0.025725922954306313, -0.04091216195245906, -0.05603162148477292, -0.07105962259557508, -0.08597163561351717, -0.10074332019048882, -0.11535056503149832, -0.1297695272506818, -0.143976671289197, -0.15794880733148364, -0.17166312915716375, -0.1850972513668312, -0.1982292459209436, -0.21103767793217187, -0.22350164065281541, -0.23560078960012998, -0.24731537576391727, -0.25862627784211734, -0.26951503345183747, -0.27996386926484096, -0.2899557300183173, -0.2994743063535834, -0.3085040614372634, -0.31703025632151594, -0.3250389740018895, -0.3325171421335553, -0.33945255436883004, -0.3458338902811606, -0.3516507338430588, -0.356893590427807, -0.3615539023072021, -0.3656240626200291, -0.369097427788473, -0.3719683283621895, -0.37423207827235194, -0.37588498248055163, -0.37692434301007843, -0.37734846334973215, -0.3771566512229774, -0.37634921971792196, -0.37492748677627386, -0.37289377304211246, -0.37025139807398344, -0.3670046749265019, -0.36315890311030663, -0.3587203599418567, -0.35369629029719296, -0.3480948947863829, -0.34192531636795875, -0.3351976254251885, -0.3279228033285517, -0.32011272451123585, -0.3117801370869242, -0.30293864204150234, -0.29360267103265203, -0.28378746283357126, -0.27350903845926844, -0.26278417501602735, -0.2516303783167353, -0.2400658543067622, -0.22810947934706238, -0.21578076940293034, -0.20309984818881688, -0.19008741432109222, -0.17676470753242501, -0.1631534740029359, -0.1492759308646754, -0.1351547299373843, -0.12081292075475059, -0.10627391294145472, -0.09156143800248717, -0.07669951058706115, -0.06171238929033773, -0.04662453705699754, -0.03146058125124629, -0.016245273458443066, -0.0010034490839618826, 0.014240013184743994], [-0.020170536789528182, -0.019454157081782775, -0.01870602304582958, -0.017927355834232106, -0.01711942643776343, -0.016283553610821677, -0.015421101718873231, -0.01453347851144926, -0.013622132824313127, -0.012688552214598303, -0.01173426053270532, -0.010760815434982085, -0.009769805841215451, -0.008762849341094281, -0.007741589553875272, -0.006707693445560103, -0.005662848607969728, -0.004608760504143383, -0.0035471496845786987, -0.0024797489788319638, -0.0014083006670837506, -0.00033455363627954426, 0.0007397394745174424, 0.0018128251348974445, 0.002882951785331933, 0.003948372696174651, 0.005007348818793389, 0.006058151624152686, 0.007099065924233372, 0.008128392671671314, 0.009144451733051007, 0.01014558463132964, 0.011130157252909001, 0.012096562514940068, 0.013043222988511793, 0.013968593473424384, 0.014871163520369102, 0.015749459896384543, 0.016602048989553975, 0.017427539149047266, 0.01822458295665408, 0.018991879426138336, 0.01972817612678135, 0.02043227122768254, 0.0211030154594698, 0.0217393139902069, 0.02234012821244713, 0.022904477438519866, 0.023431440501270107, 0.02392015725764507, 0.024369829992677783, 0.024779724721566643, 0.025149172387735064, 0.025477569954906576, 0.025764381391419677, 0.026009138545175503, 0.026211441907782462, 0.026370961266662385, 0.026487436244043205, 0.026560676721964827, 0.026590563152601776, 0.026577046753397088, 0.026520149586688135, 0.026419964523694994, 0.026276655092930534, 0.026090455213277686, 0.02586166881217289, 0.025590669329516702, 0.025277899108118174, 0.02492386867167884, 0.024529155891478638, 0.02409440504314153, 0.02362032575500317, 0.023107691849812984, 0.022557340081648558, 0.02197016877011393, 0.021347136334042283, 0.02068925972710467, 0.0199976127778716, 0.019273324437042216, 0.01851757693469569, 0.017731603850584587, 0.01691668810059621, 0.0160741598427121, 0.015205394305814579, 0.014311809544969023, 0.01339486412678248, 0.012456054748620993, 0.011496913795618902, 0.010519006839421863, 0.009523930082742105, 0.0085133077539572, 0.007488789455928568, 0.006452047473403333, 0.005404774043424432, 0.0043486785931383665, 0.003285484949559603, 0.0022169285258311078, 0.0011447534885755672, 7.070991094160206e-05], [-0.33761435625409186, -0.3265495889991916, -0.3149518064724868, -0.30283993932161923, -0.29023375731625967, -0.27715383707862395, -0.26362152849698584, -0.24965891987701472, -0.23528880188780832, -0.2205346303615121, -0.2054204880071886, -0.18997104510146912, -0.17421151922014477, -0.15816763407640977, -0.14186557753296203, -0.12533195885648585, -0.10859376528429188, -0.09167831797401771, -0.07461322740826404, -0.05742634832699256, -0.040145734261223254, -0.022799591742257874, -0.005416234261160113, 0.011975963946352586, 0.0293486142141548, 0.046673359783531154, 0.06392192208889735, 0.08106614691590153, 0.09807805035654305, 0.11492986448631193, 0.13159408268878092, 0.1480435045536801, 0.16425128027515612, 0.1801909544777507, 0.19583650939858188, 0.21116240735519387, 0.22614363242982183, 0.24075573130197814, 0.25497485316273494, 0.2687777886455591, 0.28214200771012266, 0.29504569641729983, 0.30746779253527023, 0.3193880199186583, 0.33078692160456535, 0.3416458915714684, 0.3519472051091772, 0.3616740477502387, 0.37081054271560276, 0.37934177682971715, 0.3872538248627735, 0.3945337722603688, 0.4011697362234674, 0.407150885104276, 0.4124674560863526, 0.41711077112010697, 0.4210732510876707, 0.42434842817402296, 0.4269309564241732, 0.4288166204691744, 0.430002342406719, 0.43048618682508966, 0.4302673639622629, 0.42934623099500957, 0.4277242914558881, 0.4254041927790808, 0.42238972197908264, 0.41868579946929196, 0.4142984710305935, 0.4092348979430478, 0.40350334529678555, 0.39711316850119927, 0.39007479801443656, 0.38239972231813946, 0.3741004691651999, 0.3651905851311592, 0.35568461350261193, 0.3455980705387174, 0.33494742014456236, 0.3237500469977146, 0.3120242281718326, 0.29978910330365105, 0.28706464335202586, 0.27387161800005755, 0.26023156175346873, 0.24616673879061146, 0.23170010662141216, 0.21685527861468046, 0.2016564854548264, 0.1861285355909752, 0.17029677474303462, 0.15418704453076337, 0.1378256402934177, 0.12123926816881436, 0.1044550015018384, 0.08750023665360107, 0.07040264828332088, 0.053190144175966125, 0.03589081968938057, 0.018532911895215776], [-0.6741844485249229, -0.653823643762633, -0.6323956259370522, -0.6099353712390299, -0.5864795407429182, -0.5620664205660124, -0.5367358593754838, -0.5105292033448179, -0.4834892286659218, -0.45566007172707934, -0.4270871570706847, -0.3978171232483838, -0.36789774669462894, -0.3373778637428977, -0.30630729091189224, -0.27473674359180134, -0.24271775326337952, -0.21030258338494345, -0.17754414408458796, -0.14449590579686689, -0.11121181198490859, -0.07774619109041936, -0.044153667855299616, -0.010489074159625744, 0.023192640478478133, 0.056836498594986296, 0.09038758451772022, 0.12379113400325803, 0.1569926236266479, 0.18993785977806077, 0.2225730671210906, 0.2548449763683216, 0.2867009112308869, 0.3180888744001029, 0.348957632420829, 0.3792567993180054, 0.4089369188398928, 0.4379495451837476, 0.46624732207218944, 0.4937840600511554, 0.5205148118833054, 0.5463959459138117, 0.5713852172887415, 0.5954418369098216, 0.6185265380130542, 0.6406016402624459, 0.6616311112542759, 0.6815806253315029, 0.7004176196123346, 0.71811134714144, 0.7346329270771084, 0.7499553918324426, 0.7640537310935653, 0.7769049326430799, 0.788488019922087, 0.7987840862694784, 0.8077763257826058, 0.8154500607489567, 0.8217927656040637, 0.8267940873765371, 0.8304458625868513, 0.8327421305723015, 0.8336791432163824, 0.8332553710667043, 0.831471505831465, 0.8283304592503976, 0.8238373583420424, 0.8179995370350972, 0.8108265241975052, 0.8023300280828253, 0.7925239172192631, 0.7814241977725704, 0.7690489874197457, 0.755418485776199, 0.7405549414246355, 0.7244826155994875, 0.7072277425861646, 0.6888184868997644, 0.6692848973131338, 0.6486588578093291, 0.6269740355385252, 0.6042658258643252, 0.5805712945891641, 0.5559291174531253, 0.5303795170048997, 0.5039641969479569, 0.4767262740690681, 0.4487102078603229, 0.4199617279494561, 0.39052775945703644, 0.3604563464022421, 0.3297965732823185, 0.298598484953712, 0.26691300494562054, 0.2347918523393293, 0.202287457349013, 0.16945287574173662, 0.13634170223642972, 0.10300798302314274, 0.06950612754535168], [-1.0276842247907725, -0.9991404021582047, -0.9689657182078832, -0.9372094260024713, -0.9039233602074832, -0.869161852483423, -0.8329816428021424, -0.7954417868322063, -0.7566035595444198, -0.7165303551948825, -0.6752875838487986, -0.6329425646139515, -0.589564415758125, -0.5452239418898124, -0.4999935183863764, -0.45394697325829014, -0.40715946664230973, -0.35970736812025894, -0.3116681320636747, -0.26312017120779263, -0.21414272866123252, -0.16481574856029368, -0.11521974557898584, -0.06543567350778723, -0.01554479311566137, 0.034371460489007966, 0.08423161078204355, 0.13395427281471317, 0.18345828605547077, 0.23266284686541727, 0.28148764039119545, 0.32985297166007044, 0.3776798956631966, 0.4248903462147444, 0.4714072633765598, 0.5171547192403576, 0.5620580418621399, 0.60604393714656, 0.6490406084822604, 0.6909778739329249, 0.7317872807927599, 0.771402217319408, 0.8097580214619224, 0.8467920864063343, 0.8824439627665255, 0.9166554572536092, 0.9493707276627648, 0.9805363740224804, 1.0101015257574315, 1.0380179247227015, 1.0642400039738402, 1.0887249621441628, 1.1114328333079002, 1.1323265522151533, 1.1513720147921849, 1.1685381338082823, 1.1837968896183402, 1.197123375898328, 1.2084958402989985, 1.2178957199514708, 1.2253076717667417, 1.2307195974796643, 1.2341226633965146, 1.235511314813916, 1.2348832850855844, 1.2322395993220925, 1.2275845727176193, 1.220925803506414, 1.212274160560465, 1.2016437656486305, 1.1890519703861748, 1.174519327912348, 1.158069559342223, 1.1397295150475701, 1.1195291308299447, 1.097501379057547, 1.0736822148456002, 1.0481105173680927, 1.0208280263966865, 0.9918792741703761, 0.9613115127070966, 0.9291746366759397, 0.8955211019558567, 0.8604058400137995, 0.8238861682420384, 0.7860216964010247, 0.7468742293204991, 0.7065076660176683, 0.664987895397112, 0.6223826887026789, 0.5787615888968718, 0.534195797148378, 0.4887580566129195, 0.44252253369717565, 0.3955646969996236, 0.34796119412581916, 0.29978972657922753, 0.25112892293184164, 0.20205821048155848, 0.15265768560581527], [-1.3958066064633858, -1.3602461911910453, -1.3224654944737328, -1.2825261843980424, -1.240493452478315, -1.1964359072468644, -1.1504254622667074, -1.102537218749617, -1.0528493429710784, -1.001442938682271, -0.9484019147272957, -0.8938128480817547, -0.837764842536239, -0.7803493832553801, -0.7216601874498725, -0.6617930514052057, -0.6008456941167939, -0.5389175977867477, -0.4761098454426058, -0.4125249559431081, -0.3482667166403193, -0.28344001397121943, -0.21815066225530888, -0.15250523097766155, -0.0866108708393476, -0.02057513885915352, 0.04549417718790405, 0.11148923470873484, 0.1773023123197941, 0.2428259856768724, 0.3079533028200183, 0.37257795874742694, 0.43659446893330145, 0.49989834150649326, 0.5623862478088695, 0.6239561910549991, 0.6845076728178707, 0.7439418570689122, 0.8021617315045075, 0.8590722658957373, 0.9145805672028309, 0.9685960312011774, 1.0210304903713778, 1.0717983578119297, 1.1208167669397064, 1.168005706750122, 1.213288152416236, 1.2565901910136437, 1.2978411421659213, 1.3369736734136808, 1.373923910118937, 1.408631539725427, 1.441039910204632, 1.4710961225268748, 1.4987511170065198, 1.5239597533803557, 1.546680884488438, 1.5668774234371319, 1.584516404134733, 1.5995690351008423, 1.6120107464616766, 1.621821230054598, 1.628984472576405, 1.633488781721279, 1.6353268052657168, 1.6344955430693042, 1.6309963519717388, 1.6248349435781089, 1.616021374936042, 1.6045700321199474, 1.5904996067491346, 1.5738330654781532, 1.554597612509135, 1.5328246451873477, 1.508549702752422, 1.4818124083289181, 1.4526564042509094, 1.4211292808261526, 1.387282498656122, 1.3511713046387044, 1.3128546417906493, 1.2723950530369867, 1.229858579124428, 1.185314650825414, 1.138835975608731, 1.0904984189616989, 1.0403808805576378, 0.9885651654707361, 0.935135850648543, 0.8801801468600243, 0.8237877563445277, 0.7660507263940204, 0.7070632991075492, 0.6469217575632351, 0.5857242686588311, 0.5235707228773743, 0.46056257123952005, 0.3968026597086478, 0.3323950613190494, 0.2674449063012263], [-1.7761490820798556, -1.734784292441776, -1.6905878761463462, -1.643631973430883, -1.5939932287441643, -1.5417526656424356, -1.4869955545375393, -1.4298112735130584, -1.3702931624356434, -1.3085383705996816, -1.2446476981539547, -1.1787254315691431, -1.110879173414736, -1.0412196667231832, -0.9698606142279864, -0.8969184927707721, -0.82251236318029, -0.7467636759336633, -0.6697960729170891, -0.5917351856095969, -0.5127084300192504, -0.4328447987065349, -0.3522746502343965, -0.2711294963885873, -0.18954178751567063, -0.10764469632902784, -0.025571900535782177, 0.05654263536057336, 0.1385648787256546, 0.2203609475708932, 0.30179732908434165, 0.3827410975588821, 0.4630601313621243, 0.5426233285938498, 0.6213008210789743, 0.698964186346748, 0.7754866572501813, 0.8507433288835529, 0.9246113624602383, 0.9969701858180895, 1.067701690225078, 1.1366904231639898, 1.203823776781448, 1.2689921716937, 1.3320892358491618, 1.3930119781557173, 1.451660956589417, 1.5079404405101564, 1.5617585669193916, 1.6130274904048423, 1.6616635265274269, 1.7075872884164045, 1.750723816349729, 1.7910027001081381, 1.8283581939032516, 1.8627293236920772, 1.894059986702773, 1.9222990430092053, 1.947400399004831, 1.9693230826396462, 1.9880313102974112, 2.0034945452039694, 2.01568754727134, 2.024590414296213, 2.030188614445607, 2.032473009976667, 2.031439872151871, 2.0270908873253206, 2.0194331541901613, 2.008479172191642, 1.9942468211247115, 1.97675933194947, 1.9560452488720947, 1.9321383827531529, 1.905077755919334, 1.8749075384686957, 1.8416769761733867, 1.8054403100975238, 1.7662566880614312, 1.7241900680967643, 1.6793091140500849, 1.631687083505315, 1.5814017082079808, 1.528535067186461, 1.473173452777302, 1.4154072297733133, 1.3553306879243303, 1.2930418880314103, 1.2286425018856817, 1.1622376463130921, 1.0939357115959587, 1.0238481845513672, 0.9520894665552051, 0.8787766868088775, 0.8040295111534608, 0.7279699467434337, 0.6507221428987275, 0.5724121884602029, 0.4931679059793419, 0.4131186430780325], [-2.166229387037448, -2.1203103229379114, -2.0709303517628137, -2.0181700746816116, -1.9621156104167758, -1.902858454675274, -1.8404953308033867, -1.7751280319086273, -1.706863254706473, -1.6358124253631212, -1.5620915176185184, -1.485820863486552, -1.4071249568413933, -1.3261322502105708, -1.2429749451064818, -1.1577887762385743, -1.0707127899584021, -0.9818891172992288, -0.8914627419805843, -0.7995812637565107, -0.7063946574937328, -0.6120550283730228, -0.5167163636133258, -0.4205342811239028, -0.3236657754947574, -0.2262689617399527, -0.12850281721210433, -0.03052692210930097, 0.06749880100196926, 0.1654143482227326, 0.26305989549020214, 0.36027605945290375, 0.45690415762644854, 0.5527864674053049, 0.6477664835077972, 0.7416891734341045, 0.8344012305202853, 0.9257513241753017, 1.015590346892548, 1.1037716576327292, 1.1901513211808088, 1.2745883430863412, 1.356944899803695, 1.4370865636565107, 1.514882522259232, 1.5902057920374868, 1.6629334254988697, 1.732946711915751, 1.8001313710925726, 1.8643777399013541, 1.9255809512808955, 1.983641105407566, 2.038463432758218, 2.0899584487991136, 2.138042100048347, 2.182635901273339, 2.2236670635995033, 2.261068613320924, 2.2947795012191636, 2.3247447022117185, 2.350915305167507, 2.3732485927427716, 2.3917081111070724, 2.406263729445582, 2.41689168914054, 2.4235746425515985, 2.4263016813317595, 2.425068354232681, 2.4198766743702915, 2.4107351159388517, 2.3976586003788287, 2.3806684720211626, 2.3597924632476697, 2.3350646492244675, 2.3065253922822917, 2.2742212760344986, 2.238205029340296, 2.198535440237299, 2.1552772599839063, 2.1085010973681335, 2.058283303455392, 2.0047058469633727, 1.9478561804674144, 1.8878270976547875, 1.8247165818608533, 1.7586276461343586, 1.6896681650929, 1.617950698843023, 1.5435923092523725, 1.4667143688737645, 1.3874423628330956, 1.3059056840044336, 1.2222374218066347, 1.136574144966223, 1.0490556786011167, 0.9598248759890762, 0.8690273853933572, 0.7768114123262624, 0.6833274776385494, 0.5887281718295876], [-2.563501703828804, -2.514308188158642, -2.4610106567204104, -2.403696105177752, -2.342458086033248, -2.277396555926007, -2.208617712476002, -2.13623382094147, -2.0603630309723244, -1.9811291837586942, -1.898661609889352, -1.8130949182499956, -1.72456877630596, -1.6332276821279832, -1.5392207285331425, -1.4427013597259641, -1.343827120836901, -1.2427594007670333, -1.1396631687586996, -1.0347067051220789, -0.9280613265572297, -0.8199011065199393, -0.7104025910878109, -0.5997445107903916, -0.4881074888736885, -0.37567374647526997, -0.26262680519119286, -0.1491511875202267, -0.03543211567435467, 0.07834479075285827, 0.19199381776651592, 0.30532946010474227, 0.41816672403230815, 0.5303214292993257, 0.6416105097721205, 0.7518523122455596, 0.860866892949109, 0.9684763112626582, 1.0745049201626529, 1.178779652924479, 1.2811303056131194, 1.3813898149009827, 1.4793945307594258, 1.5749844835788638, 1.66800364528148, 1.7583001840003, 1.8457267119089424, 1.9301405257975222, 2.011403840002028, 2.0893840113069504, 2.16395375545408, 2.2349913549040803, 2.302380857511689, 2.3660122657902782, 2.4257817164568385, 2.481591649964318, 2.5333509697446015, 2.58097519090219, 2.624386578115897, 2.6635142725234413, 2.698294407381844, 2.7286702123148467, 2.7545921059771725, 2.776017776984388, 2.7929122529762767, 2.8052479577009723, 2.8130047560266966, 2.816169986807617, 2.814738483550184, 2.8087125828462165, 2.7981021205589633, 2.7829244157683766, 2.763204242501791, 2.7389737892961645, 2.710272606657871, 2.6771475425058178, 2.6396526657032586, 2.5978491778031065, 2.5518053131508207, 2.501596227507913, 2.4473038753778713, 2.389016876234746, 2.3268303698727255, 2.2608458611128492, 2.191171054120291, 2.1179196766026887, 2.041211294176455, 1.9611711152040718, 1.8779297864209452, 1.7916231796853808, 1.70239217019979, 1.6103824065651096, 1.5157440730437748, 1.4186316444192926, 1.3192036338525477, 1.217622334146423, 1.1140535528410167, 1.0086663415719048, 0.9016327201331809, 0.7931273956956497], [-2.965373277048362, -2.9142065030573545, -2.8582829735117623, -2.7976939703984782, -2.7325383909908396, -2.662922586422143, -2.5889601880924697, -2.5107719221921987, -2.4284854126449362, -2.3422349727915326, -2.252161386155199, -2.158411676645565, -2.0611388685767897, -1.960501736891422, -1.8566645479977062, -1.7497967916433734, -1.6400729042635582, -1.5276719842544204, -1.4127774996371958, -1.2955769885898811, -1.1762617533353423, -1.0550265478855048, -0.9320692601513061, -0.8075905889373054, -0.6817937163481718, -0.554883976141757, -0.4270685185701222, -0.2985559722555422, -0.16955610365344143, -0.04027947465806747, 0.08906290109019288, 0.21825990263486794, 0.3471006463086228, 0.4753748299511651, 0.602873076177981, 0.7293872741395813, 0.8547109192134315, 0.9786394500741133, 1.1009705825914757, 1.2215046400118355, 1.3400448788832233, 1.4563978101927315, 1.5703735151917355, 1.6817859553935044, 1.7904532762372098, 1.8961981039226505, 1.9988478349311896, 2.0982349177603328, 2.194197126412098, 2.28657782518872, 2.3752262243635327, 2.459997626309675, 2.54075366168487, 2.61736251528679, 2.6896991412103066, 2.7576454669554797, 2.8210905861530904, 2.879930939593166, 2.9340704842609924, 2.983420850104703, 3.0279014842785736, 3.0674397826265656, 3.101971208191505, 3.13143939655646, 3.1557962478463724, 3.175002005239774, 3.189025319862429, 3.1978433019569863, 3.201441558245117, 3.1998142154211484, 3.1929639297388515, 3.1809018826757374, 3.1636477626819213, 3.141229733043374, 3.113684385911988, 3.0810566825775103, 3.0433998800788333, 3.000775444274421, 2.953252949513778, 2.900909965073716, 2.8438319285447813, 2.7821120063745215, 2.7158509417952006, 2.645156890384218, 2.570145243525598, 2.4909384400607464, 2.4076657664358883, 2.3204631456723983, 2.2294729155044966, 2.134843596046426, 2.0367296473683596, 1.9352912173767223, 1.8306938804104655, 1.723108366979965, 1.6127102850896846, 1.4996798335994894, 1.3842015080924441, 1.2664637997292503, 1.146658887580835, 1.0249823249412895], [-3.369221334734017, -3.317395373931921, -3.2601545467313224, -3.1975922852971923, -3.1298107077821937, -3.0569204516428714, -2.979040493050064, -2.896297952688337, -2.8088278882614057, -2.7167730740422633, -2.6202837678278126, -2.5195174656784056, -2.4146386448426393, -2.3058184952869936, -2.193234640268537, -2.077070846406815, -1.9575167237281237, -1.834767416171831, -1.7090232830638543, -1.5804895720772696, -1.4493760842138403, -1.315896831353308, -1.18026968692942, -1.0427160303028726, -0.9034603854116678, -0.7627300542886717, -0.6207547460446063, -0.4777662019220301, -0.33399781703237164, -0.18968425939338296, -0.045061086888893875, 0.0996356372239422, 0.24416972963229888, 0.38830527248129076, 0.5318069984542957, 0.6744406747914198, 0.815973485619292, 0.956174411968135, 1.094814608855799, 1.2316677788232906, 1.3665105413120462, 1.499122797280088, 1.6292880884618404, 1.7567939506852532, 1.8814322606695195, 2.002999575737292, 2.1212974658869204, 2.236132837682685, 2.347318249434345, 2.4546722171515323, 2.5580195107736037, 2.657191440191445, 2.7520261305943245, 2.8423687866923855, 2.92807194538349, 3.0089957164519925, 3.0850080109065603, 3.155984756584329, 3.221810100669482, 3.2823765987956803, 3.3375853904236705, 3.3873463602078298, 3.431578285088237, 3.47020896686818, 3.5031753500607072, 3.5304236248118475, 3.5519093147325265, 3.56759734949579, 3.5774621220808513, 3.5814875305705196, 3.5796670044337864, 3.572003515250671, 3.5585095718618116, 3.539207199950737, 3.5141279060921202, 3.483312626324722, 3.4468116593329525, 3.404684584346116, 3.357000163889355, 3.303836231545033, 3.245279564907741, 3.1814257439403266, 3.1123789949621123, 3.038252020523996, 2.9591658154480753, 2.8752494693321173, 2.7866399558411974, 2.693481909130458, 2.595927387763932, 2.4941356265147543, 2.3882727764519123, 2.2785116337377693, 2.165031357579037, 2.0480171777915794, 1.9276600924563771, 1.8041565561601636, 1.6777081593295828, 1.548521299182318, 1.416806842832266, 1.2827797830986363], [-3.7724102056085838, -3.7212434316175758, -3.6640026044169773, -3.600781156171759, -3.5316822810017543, -3.4568187665415855, -3.3763128098414183, -3.2902958179090653, -3.1989081932189998, -3.1022991045384014, -3.000626243444282, -2.8940555669291363, -2.782761026515253, -2.666924284319834, -2.546734416534387, -2.422387604802386, -2.2940868159989547, -2.1620414709352724, -2.0264671025284193, -1.8875850039946802, -1.7456218676404989, -1.6008094148406964, -1.4533840178079172, -1.3035863137706758, -1.1516608121897818, -0.9978554956542394, -0.8424214151081024, -0.6856122800689448, -0.5276840445068558, -0.36889448905987177, -0.20950280026782497, -0.04976914751137329, 0.11004574165321213, 0.269681007070365, 0.42887608177797176, 0.5873711173215455, 0.7449074078956057, 0.9012278126199735, 1.0560771752616596, 1.2092027407173123, 1.3603545675763695, 1.5092859360915432, 1.6557537508906632, 1.7995189377726097, 1.9403468339396244, 2.078007571029041, 2.21227645031923, 2.3429343094973265, 2.469767880390076, 2.5925701370738845, 2.711140633795851, 2.8252858321542567, 2.9348194170043955, 3.039562600574156, 3.1393444142929443, 3.234001987857588, 3.3233808150797426, 3.407335006080842, 3.4857275254229525, 3.5584304157868436, 3.6253250068321603, 3.6863021088988073, 3.741262191233334, 3.7901155444494443, 3.832782426957439, 3.869193195123569, 3.8992884169468613, 3.9230189690678636, 3.9403461169509493, 3.9512415781093235, 3.955687568269521, 3.9536768304000423, 3.9452126465567465, 3.9303088325256708, 3.9089897152720106, 3.881290093232085, 3.847255179513085, 3.8069405280933277, 3.7604119431434744, 3.7077453716167277, 3.649026779283318, 3.5843520104116435, 3.513826631325072, 3.437565758089801, 3.3556938686149875, 3.268344599471895, 3.1756605277636747, 3.0777929384018288, 2.9749015771692413, 2.867154389972814, 2.754727248711348, 2.6378036642060976, 2.5165744866625896, 2.3912375941526265, 2.2619975696249486, 2.129065366971778, 1.9926579666962754, 1.8529980217429922, 1.7103134940694047, 1.5648372825517045], [-4.172308520507298, -4.123115004837136, -4.067191475291544, -4.004629213857414, -3.935530338687409, -3.8600076374161523, -3.7781843830609785, -3.6901941328077794, -3.5961805100103543, -3.49629696975913, -3.3907065484018766, -3.279581597425274, -3.1631035021317224, -3.041462385570565, -2.9148567982070004, -2.7834933938352266, -2.6475865922648043, -2.5073582293308436, -2.3630371947992512, -2.2148590587581216, -2.063065687105064, -1.907904846758107, -1.7496298012345761, -1.5884988972580643, -1.424775143068279, -1.2587257791220425, -1.0906218418862164, -0.9207377214345125, -0.7493507135703519, -0.5767405672067873, -0.40318902774230825, -0.2289793771778621, -0.05439597172571897, 0.12027622233504953, 0.294752093798885, 0.4687468519106197, 0.6419764912192827, 0.8141582551500992, 0.9850110975379733, 1.1542561413691508, 1.32161713398223, 1.4868208979855648, 1.6495977771549866, 1.8096820765840649, 1.9668124963684472, 2.1207325581163974, 2.271191023589335, 2.4179423047890753, 2.5607468648223866, 2.699371608888525, 2.8335902647515816, 2.963183752076609, 3.0879405400266426, 3.2076569925369682, 3.3221377007030153, 3.4311958017393582, 3.534653283989197, 3.632341277486437, 3.7241003295961352, 3.8097806652833563, 3.8892424315856307, 3.9623559258899705, 4.029001807641824, 4.089071293140422, 4.142466333102536, 4.189099772704832, 4.228895493843593, 4.261788539379586, 4.287725219165284, 4.306663197681397, 4.318571563139619, 4.323430877938846, 4.3212332103924815, 4.311982147675042, 4.295692789966946, 4.272391725807019, 4.242116988692976, 4.204917995000691, 4.160855463323607, 4.11000131536394, 4.052438558537437, 3.9882611504833383, 3.9175738457006495, 3.840492024561118, 3.7571415049779473, 3.6676583370377003, 3.572188580930587, 3.4708880685416066, 3.3639221490917186, 3.2514654192441848, 3.133701438116657, 3.0108224276641575, 2.8830289589220253, 2.7505296246209547, 2.6135406987085013, 2.472285783332825, 2.3269954438648464, 2.1779068325546067, 2.0252633014360972, 1.8693140051123787], [-4.566306385728026, -4.52038732162849, -4.467089790190258, -4.406500787076974, -4.338719209561976, -4.263855695101807, -4.182032440746633, -4.093383003682346, -3.9980520832299145, -3.896195284657844, -3.7879788651932307, -3.6735794626460025, -3.553183807089317, -3.4269884160667026, -3.29519927382347, -3.1580314950859574, -3.015708973937418, -2.8684640183636843, -2.7165369710651004, -2.560175817153693, -2.399635779375896, -2.2351789015215484, -2.067073620699141, -1.8955943291754749, -1.7210209264949379, -1.543638362609431, -1.3637361727647135, -1.1816080049023157, -0.9975511403484658, -0.8118660085723537, -0.6248556968058043, -0.4368254553247777, -0.24808219920020225, -0.058934007331439275, 0.1303103804199539, 0.3193420671753042, 0.507852503240195, 0.6955339897391735, 0.8820801808616503, 1.0671865838992765, 1.2505510562585438, 1.4318742986374033, 1.610860343560847, 1.7872170384780857, 1.9606565226327706, 2.1308956969278525, 2.2976566860181578, 2.460667291876432, 2.6196614380924905, 2.774379604180274, 2.924569249183892, 3.0699852238912504, 3.2103901709823734, 3.3455549124593196, 3.4752588237252624, 3.5992901937021706, 3.717446570399268, 3.8295350913682076, 3.935372798505589, 4.034786936688952, 4.127615235758813, 4.213706175386483, 4.292919232395294, 4.3651251101315856, 4.430205949511025, 4.488055521395809, 4.5385793999886905, 4.581695116960848, 4.617332296062016, 4.645432767993118, 4.665950665353954, 4.67885249751092, 4.684117205262579, 4.681736195213846, 4.67171335380268, 4.6540650409563895, 4.62882006338791, 4.5960196275756235, 4.555717272503497, 4.507978782271302, 4.452882078717569, 4.39051709423055, 4.320985624954769, 4.244401164632812, 4.160888719353524, 4.070584603509017, 3.9736362172935467, 3.8702018061074117, 3.760450202258631, 3.6445605493839626, 3.5227220100391343, 3.395133456935529, 3.2620031483273344, 3.1235483880790147, 2.979995170967937, 2.8315778138011534, 2.6785385729484, 2.5211272489156538, 2.359600778604668, 2.194222815923993], [-4.951832416224162, -4.910467626586082, -4.8610876554109845, -4.803773103868326, -4.738617524460688, -4.6657272683213655, -4.585221311621198, -4.497231061367999, -4.401900140915567, -4.299384155532408, -4.189850438412789, -4.073477777544714, -3.950456123880669, -3.8209862812874293, -3.685279578781062, -3.5435575255820932, -3.396051449553885, -3.2430021196144128, -3.084659352737712, -2.921281606186531, -2.753135555641743, -2.5804956599171174, -2.403643712969971, -2.2228683839389145, -2.0384647459595016, -1.8507337945268398, -1.6599819561913707, -1.4665205883897032, -1.2706654712269612, -1.072736292040156, -0.8730561235839169, -0.6719508966903431, -0.46974886826369744, -0.2667800854783531, -0.06337584705452848, 0.1401318375088163, 0.3434107898612657, 0.546129205003858, 0.7479561928825635, 0.9485623184883516, 1.1476201395822216, 1.344804741167529, 1.5397942658371617, 1.732270439129925, 1.921919089038631, 2.108430658821874, 2.291500712282482, 2.470830430687887, 2.6461271005213134, 2.8171045912676305, 2.983483822453996, 3.1449932191829992, 3.301369155414683, 3.45235638427396, 3.597708454680993, 3.737188113624521, 3.8705676934215143, 3.997629483331018, 4.118166084915659, 4.231980750570721, 4.338887704668266, 4.438712446792078, 4.531292036568475, 4.616475359628097, 4.694123374264494, 4.764109338386971, 4.826319016397179, 4.880650865651824, 4.927016202207112, 4.96533934557438, 4.995557742250684, 5.017622067822638, 5.031496307476912, 5.0371578147859175, 5.034597348672776, 5.023819088495192, 5.0048406272236425, 4.977692942724993, 4.94242034719843, 4.8990804148462335, 4.847743887897458, 4.78849456113791, 4.721429145134898, 4.6466571083800225, 4.564300498607642, 4.47449374358071, 4.377383431669121, 4.273128072578726, 4.161897838621588, 4.043874286949766, 3.919250063206044, 3.788228587075304, 3.6510237202498095, 3.5078594173503834, 3.358969360373244, 3.204596577259211, 3.0449930452078333, 2.8804192793839802, 2.7111439076882196, 2.5374432322850384], [-5.326370517474893, -5.290810102202552, -5.246613685907123, -5.1938534088259205, -5.132615389681416, -5.062999585112719, -4.985119626519912, -4.899102634587559, -4.805089011790134, -4.7032322132180635, -4.593698496098444, -4.476666648419282, -4.352327697100229, -4.220884596186143, -4.082551895572417, -3.937555390802822, -3.7861317545114797, -3.628528150110551, -3.4650018283541817, -3.295819707437262, -3.1212579373143567, -2.941601448949958, -2.7571434892358204, -2.5681851423344852, -2.3750348382303326, -2.1780078492902812, -1.9774257756559361, -1.773616020307113, -1.5669112546536201, -1.3576488755275444, -1.146170454462415, -0.9328211801581463, -0.7179492950418109, -0.5019055268439203, -0.28504251611802456, -0.06771424063809839, 0.14972456238678156, 0.36691897533737006, 0.5835144795036333, 0.7991575337530352, 1.013496151603134, 1.2261804757566042, 1.4368633491608378, 1.6452008816600507, 1.8508530113149457, 2.0534840594737127, 2.2527632786883416, 2.4483653925819087, 2.6399711267856367, 2.8272677300790856, 3.009949484882819, 3.1877182062703557, 3.360283728684788, 3.527364379565709, 3.688687439113303, 3.8439895854391626, 3.993017324377246, 4.135527403253371, 4.271287207937906, 4.400075142533533, 4.521680991078337, 4.635906260673848, 4.7425645054779295, 4.841481631033693, 4.9324961784376775, 5.015459587883484, 5.090236441150648, 5.156704682642987, 5.214755818615602, 5.264295094265357, 5.30524164839578, 5.337528645403903, 5.361103384373644, 5.375927385097638, 5.381976450887111, 5.379240708067266, 5.367724622093741, 5.347446990263798, 5.318440911034164, 5.280753729995605, 5.234446962592393, 5.179596193712844, 5.116290954314789, 5.044634575287385, 4.964744018787774, 4.876749687327921, 4.780795210923241, 4.677037212650421, 4.565645052997165, 4.446800553421082, 4.320697699569004, 4.187542324641109, 4.047551773416721, 3.9009545474901612, 3.747989932295721, 3.588907606530582, 3.4239672346131425, 3.2534380428420397, 3.077598379947655, 2.8967352627533667], [-5.687476306507733, -5.658932483875166, -5.621151787157853, -5.57419588444239, -5.518141420177554, -5.453079890070313, -5.37911749174064, -5.296374951378914, -5.204987326688848, -5.105103786437624, -4.99688736697301, -4.880514706104936, -4.756175754785884, -4.62407346706071, -4.484423468791976, -4.337453705701536, -4.183404071302833, -4.022526015331279, -3.8550821333117757, -3.6813457379334, -3.5016004129308262, -3.3161395502006887, -3.125265870908434, -2.929290931367326, -2.728534614496182, -2.523324607685853, -2.313995867926767, -2.1008900750705544, -1.8843550741181856, -1.664744307444955, -1.4424162378890735, -1.2177337636455348, -0.9910636259203089, -0.7627758103117235, -0.533242942896138, -0.3028396820036656, -0.07194210667671452, 0.15907289719045536, 0.38982825202914917, 0.6199473040865473, 0.8490544382242038, 1.0767756910212878, 1.302739361181751, 1.526576616249125, 1.7479220946386218, 1.9664145020038384, 2.1816972009646562, 2.393418793233747, 2.601233693191497, 2.8048026919731073, 3.0037935111471423, 3.197881345081811, 3.386749391113611, 3.5700893666530655, 3.7476020123834077, 3.9189975807309114, 4.083996308809556, 4.242328875068012, 4.393736838893637, 4.537973062455885, 4.674802114100584, 4.80400065263666, 4.9253577918880005, 5.038675444915463, 5.143768647347132, 5.240465859289079, 5.328609245323832, 5.4080549321395, 5.478673243369071, 5.540348911256521, 5.592981264804271, 5.636484394094881, 5.67078729051874, 5.695833962678902, 5.7115835277838425, 5.718010278378986, 5.715103724308076, 5.702868609835871, 5.681324905904262, 5.6505077775344095, 5.610467526428128, 5.561269508862216, 5.502994029009725, 5.435736207862319, 5.359605827967664, 5.2747271542352845, 5.181238731103373, 5.0792931563976325, 4.969056832251285, 4.850709693492777, 4.7244449139445805, 4.590468591112426, 4.448999409779681, 4.300268285055966, 4.144517985462633, 3.98200273667036, 3.8129878065356198, 3.6377490721134107, 3.4565725693529643, 3.2697540262114266], [-6.032793064903304, -6.012432260141015, -5.982257576190694, -5.942318266115003, -5.892679521428285, -5.833422365686783, -5.764643522236778, -5.686455256336508, -5.598985191909577, -5.502376103228977, -5.396785681871724, -5.282386279324497, -5.159364625660451, -5.027921524746365, -4.888271526477632, -4.740642576576103, -4.585275644522394, -4.422424330229994, -4.25235445010313, -4.075343603154129, -3.8916807178884203, -3.701665580696827, -3.5056083465249035, -3.3038290326180566, -3.0966569961687958, -2.8844303967186935, -2.6674956441926168, -2.446206833466126, -2.2209251663890166, -1.9920183622083965, -1.7598600573536385, -1.5248291955629454, -1.2873094093469675, -1.047688393799112, -0.8063572737746361, -0.5637099654714688, -0.32014253345482846, -0.07605254417511231, 0.1681615829656531, 0.4121012259396326, 0.6553682107497196, 0.8975654613547999, 1.13829764780282, 1.3771718315138095, 1.613798106659535, 1.8477902365929126, 2.0787662842883323, 2.306349235763873, 2.530167615467811, 2.749856092624946, 2.965056077553003, 3.1754163069758325, 3.380593417377934, 3.5802525054645207, 3.7740676748122306, 3.961722567818268, 4.1429108820796605, 4.317336870359761, 4.484715823325947, 4.6447745342705264, 4.797251745056315, 4.941898572559012, 5.078478914910248, 5.206769836878275, 5.326561933757203, 5.43765967317085, 5.539881714233286, 5.633061203545095, 5.717046047542254, 5.7916991607530335, 5.856898689557741, 5.912538211086043, 5.95852690692723, 5.994789711369879, 6.021267433928939, 6.03791685596025, 6.044710801204808, 6.041638180147592, 6.028704008118597, 6.005929397106483, 5.973351521298225, 5.931023556401019, 5.879014592845459, 5.8174095230116905, 5.746308902662599, 5.665828786810218, 5.576100540283264, 5.477270623304996, 5.369500352431417, 5.252965637239988, 5.127856693198701, 4.99437773118412, 4.852746624155258, 4.703194551527283, 4.545965621825593, 4.381316474236165, 4.209515859702532, 4.0308442022531885, 3.8455931412754416, 3.654065055482798], [-6.360067119666746, -6.349002352411846, -6.327574334586265, -6.295818042380852, -6.253785310461126, -6.201544747359396, -6.1391816234875085, -6.066797731952978, -5.984511222405714, -5.892456408186572, -5.790783547092453, -5.679658596115851, -5.559262940559164, -5.429793097965925, -5.291460397352198, -5.144490634261757, -4.989123702208049, -4.82561320110456, -4.65422602332269, -4.475241918052843, -4.288953034679775, -4.095663445917555, -3.895688651482498, -3.6893550631141947, -3.4769994717852652, -3.2589684979694242, -3.0356180258652303, -2.8073126224989666, -2.574424942654866, -2.3373351206039676, -2.0964301496244704, -1.8521032503263868, -1.6047532288115325, -1.3547838257165226, -1.1026030572012946, -0.8486225489588572, -0.5932568643333256, -0.3369228276429155, -0.08003884381246085, 0.17697578457406493, 0.43370154168622355, 0.6897193832078852, 0.9446114203283367, 1.1979616018473207, 1.449356393280604, 1.6983854518575972, 1.9446422963092456, 2.187724970352947, 2.427236698791488, 2.6627865351550715, 2.8939899998293166, 3.120469707627671, 3.3418559837837947, 3.5577874673585415, 3.767911701076554, 3.971885706629723, 4.169376544508483, 4.360061857447118, 4.543630396596051, 4.719782529562275, 4.888230729488625, 5.048700044373653, 5.200928545865978, 5.344667756800627, 5.47968305677945, 5.605754065133662, 5.722675000643357, 5.830255017426866, 5.928318516451709, 6.016705432158629, 6.095271493730923, 6.163888460582556, 6.2224443316807, 6.270843528361043, 6.30900705033743, 6.336872604651228, 6.354394707349904, 6.361544757728856, 6.358311085015329, 6.3446989674182035, 6.32073062351256, 6.286445175973093, 6.241898587715557, 6.187163570550494, 6.122329466498334, 6.047502101959589, 5.962803614978198, 5.86837225587993, 5.764362161611308, 5.650943104147352, 5.528300213378833, 5.396633674931333, 5.256158403409378, 5.107103691598978, 4.9497128362011695, 4.784242740707482, 4.610963496065492, 4.430157939818994, 4.242121194442354, 4.047160185622575], [-6.667162551584156, -6.666446171876411, -6.654848389349706, -6.632388134651684, -6.599102068856697, -6.555044523625245, -6.50028741252035, -6.434920113625591, -6.3590493236564445, -6.272798883803041, -6.17630957758859, -6.069738901073445, -5.953260805779894, -5.827065414757279, -5.691358712250912, -5.546362207481318, -5.392312573082616, -5.229461258790215, -5.058074081008345, -4.8784307889274094, -4.6908246078993345, -4.49556176081627, -4.292960968273852, -4.083352928334923, -3.8670797767428597, -3.644494528465562, -3.4159605014817, -3.1818507237496974, -2.94254732432748, -2.6984409096368083, -2.4499299258903195, -2.197420008721958, -1.9413233210823644, -1.682057880479964, -1.4200468766658596, -1.1557179808762679, -0.8895026477599846, -0.6218354111303039, -0.35315317469095797, -0.08389449889373823, 0.1855011149081096, 0.4545939418423175, 0.7229447512648406, 0.9901155237004051, 1.2556701658061207, 1.5191752221911083, 1.7802005829303145, 2.0383201856176316, 2.2931127108124003, 2.5441622697441457, 2.7910590831529936, 3.0334001501577967, 3.2707899060601084, 3.502840868010381, 3.7291742674824144, 3.949420668523744, 4.163220570772807, 4.370224996258573, 4.570096059024875, 4.762507516649632, 4.947145302758729, 5.123708039665402, 5.291907530298289, 5.451469228615268, 5.60213268773518, 5.7436519850560135, 5.875796123665604, 5.998349409389679, 6.11111180286178, 6.213899246040399, 6.306543962640378, 6.3888947319881515, 6.460817135853883, 6.522193777857556, 6.5729244750908995, 6.612926421642391, 6.642134323758394, 6.660500506419833, 6.667994991160426, 6.664605544999468, 6.650337700409292, 6.625214746284815, 6.589277689929892, 6.542585190122567, 6.485213461368431, 6.417256149498393, 6.338824178813933, 6.2500455710293, 6.151065236306242, 6.042044736722286, 5.9231620225587225, 5.794611141838695, 5.65660192358951, 5.50935963534619, 5.35312461545529, 5.188151880779176, 5.014710710441069, 4.8330842062903105, 4.643568830805314, 4.44647392318838], [-6.952075135071545, -6.96269195530307, -6.961943821267116, -6.949831954116249, -6.9263761236201375, -6.891614615896078, -6.845604170915921, -6.78841988989144, -6.720155112689286, -6.640921265475654, -6.550847678839322, -6.450081376689915, -6.3387868362760305, -6.217145719714874, -6.085356577471641, -5.943634524272672, -5.792210887981329, -5.631332832009775, -5.461262951882912, -5.282278846613064, -5.09467266558499, -4.898750631690836, -4.694832541493413, -4.483251243233638, -4.264352093534214, -4.03849239368629, -3.8060408064392943, -3.567376754245835, -3.3228897999439493, -3.072979010887539, -2.818052307562933, -2.5585257977547986, -2.2948230973482135, -2.027374638875535, -1.7566169689366915, -1.4829920356397093, -1.2069464672245496, -0.9289308430477154, -0.6493989581176169, -0.3688070823811267, -0.08761321597038751, 0.19372365837451433, 0.4747443244867262, 0.7549900823348388, 1.0340034967426246, 1.3113291440441928, 1.5865143554558312, 1.8591099559511428, 2.12867099743347, 2.3947574850088293, 2.656935095173906, 2.914775884746871, 3.1678589893837854, 3.4157713105405065, 3.658108189758728, 3.8944740691755833, 4.124483137178667, 4.347759958152594, 4.563940085289198, 4.772670655461087, 4.973610965187553, 5.166433026752759, 5.350822103568393, 5.526477223907017, 5.6931116721674915, 5.850453456870655, 5.998245754621335, 6.136247329312029, 6.264232925884027, 6.381993638003212, 6.489337249050449, 6.586088545869922, 6.672089604763337, 6.747200049263151, 6.811297279264082, 6.864276671138904, 6.906051748511864, 6.936554323410995, 6.955734607568916, 6.963561293690445, 6.960021606554388, 6.945121323866077, 6.918884766826624, 6.881354760434289, 6.832592563582766, 6.772677769070467, 6.701708173684031, 6.619799618568105, 6.527085800141977, 6.423718051871656, 6.309865097253658, 6.185712774413629, 6.051463732769401, 5.907337102253552, 5.753568135635422, 5.590407824526388, 5.418122489695188, 5.236993346362005, 5.0473160451808905, 4.849400189659697], [-7.212945418539347, -7.235806286181566, -7.246856404754503, -7.246077737542906, -7.233471555537546, -7.209058435360641, -7.17287822567936, -7.124989982162269, -7.0654718710848545, -6.994421041741503, -6.91195346787216, -6.818203758362525, -6.71332493752676, -6.597488195331341, -6.470882607967777, -6.333714829230264, -6.186208753202056, -6.028605148801127, -5.8611612667816235, -5.684150419832623, -5.497861536459554, -5.302598689376489, -5.098680599179065, -4.8864401141082014, -4.666223666753772, -4.438390708585002, -4.203313123230647, -3.9613746194665618, -3.7129701049015416, -3.458505041383675, -3.198394783179401, -2.933063899005527, -2.6629454790208253, -2.3884804279083736, -2.110116745202539, -1.8283087940352782, -1.5435165594953792, -1.2562048978111542, -0.9668427775821806, -0.6759025142985355, -0.3838589993970447, -0.09118892511287324, 0.20162999360822997, 0.4941197988670365, 0.785803069964512, 1.0762037026786273, 1.364847686392336, 1.651263877804229, 1.9349847699589868, 2.2155472553423423, 2.4924933817949766, 2.7653711000115555, 3.0337350014046987, 3.297147045129581, 3.555177273082406, 3.807404511705709, 4.053417059454982, 4.292813358804433, 4.525202651695058, 4.750205617355109, 4.967454991451875, 5.176596165564214, 5.377287765997216, 5.569202210994374, 5.7520262454375946, 5.925461452162403, 6.089224739053645, 6.243048801126671, 6.386682556839757, 6.519891557925562, 6.642458372072696, 6.7541829378327325, 6.854882891173407, 6.944393863144921, 7.0225697481735345, 7.089282942544498, 7.144424552685045, 7.187904572907508, 7.219652032322385, 7.239615110681607, 7.247761222962877, 7.244077072557054, 7.2285686729717185, 7.20126133801555, 7.162199640479496, 7.1114473393821855, 7.049087275898364, 6.975221238140177, 6.889969795012073, 6.793472099410459, 6.68588566108939, 6.567386089562998, 6.4381668074643335, 6.298438734828484, 6.14842994481531, 5.988385291433749, 5.818566009875318, 5.639249290109214, 5.450727824435008, 5.2533093297313895], [-7.448070859904913, -7.48400671295968, -7.507726688222307, -7.519192068421404, -7.518384139024935, -7.5053042187873, -7.47997365759677, -7.4424338016268345, -7.392745925848296, -7.330991134012334, -7.257270226267731, -7.171703534628375, -7.0744307265596005, -6.965610577003954, -6.845420709218507, -6.714057304846733, -6.571734783698194, -6.418685453758721, -6.255159132002353, -6.081422736623976, -5.897759851358268, -5.704470262596049, -5.501869470053632, -5.290288171793857, -5.070071724439427, -4.8415795794595695, -4.605184696450206, -4.361272934365275, -4.110242421692895, -3.8525029066044034, -3.588475088136995, -3.318589929501665, -3.043287954637295, -2.7630185291591043, -2.4782391268751525, -2.189414583068119, -1.8970163357612289, -1.6015216562067258, -1.3034128698530116, -1.003176569061977, -0.7013028188616102, -0.398284357030283, -0.09461578981842855, 0.20920721537964804, 0.512688739086014, 0.8153334192108241, 1.1166472596142225, 1.4161384364386618, 1.7133181008954907, 2.0077011771954276, 2.2988071543204924, 2.5861608703450676, 2.8692932880257684, 3.1477422603942653, 3.4210532851033184, 3.688780246294783, 3.950486142778659, 4.205743801334559, 4.454136573971372, 4.695259018006947, 4.928717557857736, 5.1541311274582355, 5.371131792261539, 5.579365349805829, 5.778491907866417, 5.9681864392497594, 6.1481393123237496, 6.3180567964184196, 6.477661541272067, 6.626693029740204, 6.764908003028427, 6.892080857755085, 7.008004014195654, 7.112488255107732, 7.2053630345836055, 7.286476756426269, 7.3556970215945, 7.412910844313103, 7.458024836495567, 7.490965360178119, 7.511678647716347, 7.520130889548216, 7.516308289380209, 7.500217086706527, 7.471883546624593, 7.43135391696345, 7.378694352795096, 7.313990808451897, 7.237348897226408, 7.148893718982533, 7.048769655959488, 6.937140137101802, 6.814187371300068, 6.680112049977856, 6.535133019510245, 6.379486924008683, 6.213427819055209, 6.037226757016578, 5.85117134461514, 5.655565273478602], [-7.655916938051828, -7.705673382023176, -7.742852129587874, -7.767392495199518, -7.7792544224927385, -7.778418549665797, -7.7648862410841595, -7.738679585053493, -7.699841357765706, -7.648434953476899, -7.584544281031173, -7.508273626899207, -7.419747484955171, -7.319110353269804, -7.206526498251348, -7.082179686519346, -6.946272884948925, -6.799027929375191, -6.64068516249849, -6.47150304158157, -6.2917577165789975, -6.101742579387404, -5.901767784952345, -5.6921597450134165, -5.4732605953139934, -5.245427637145224, -5.009032754135862, -4.764461805239843, -4.512113994912456, -4.252401221503118, -3.9857474049283494, -3.7125877947223938, -3.433368259594889, -3.1485445596552424, -2.858581602491622, -2.5639526843188496, -2.2651387174338424, -1.9626274452395664, -1.6569126461188612, -1.3484933274575486, -1.0378729111324412, -0.7255584117937244, -0.41205960928299357, -0.09788821653776258, 0.21644295565935545, 0.5304208357234357, 0.8435329287357245, 1.1552681529708586, 1.4651176741173768, 1.77257573582986, 2.0771404852569963, 2.378314792198153, 2.6756070605512843, 2.9685320307277765, 3.256611571724388, 3.5393754615594677, 3.816362154799571, 4.087119535923633, 4.351205657295049, 4.608189460537073, 4.85765148013405, 5.099184528110074, 5.3323943586674, 5.5569003116998505, 5.772335934130741, 5.978349578061215, 6.174604974752572, 6.360781783505775, 6.5365761145421715, 6.701701025031952, 6.855886987460737, 6.998882329569726, 7.130453645151385, 7.250386175030084, 7.358484157605853, 7.45457114838908, 7.538490308004571, 7.610104658194873, 7.6692973054050215, 7.715971631583715, 7.750051451889529, 7.771481139044729, 7.780225714133678, 7.776270903697691, 7.7596231630330825, 7.730309665654428, 7.688378258940192, 7.633897386033161, 7.56695597412314, 7.487663289294253, 7.396148758173823, 7.292561756673876, 7.177071366170166, 7.049866097516659, 6.911153583345979, 6.761160239158054, 6.600130893750143, 6.4283283895915115, 6.246033153795031, 6.053542740385964], [-7.835127167718316, -7.89935960949766, -7.9506982077347885, -7.989059164263013, -8.014379863858306, -8.02661897644391, -8.025756524551962, -8.01179391593199, -7.9847539412530955, -7.944680736903559, -7.891639712948583, -7.825717446363772, -7.747021539718613, -7.655680445540636, -7.551843256646919, -7.435679462785195, -7.307378673981765, -7.167150311047804, -7.0152232637492205, -6.85184551719804, -6.677283747075134, -6.491822884344998, -6.295765650173075, -6.0894320618047715, -5.873158910212707, -5.6472992103647845, -5.412221625010428, -5.168309862925497, -4.915962052598111, -4.655590092377684, -4.387618978147909, -4.112486109621108, -3.8306405763862434, -3.542542424875971, -3.248661907449216, -2.9494787148149877, -2.645481193050312, -2.337165546490297, -2.025035027791475, -1.7095991164903892, -1.3913726873982908, -1.070875170189296, -0.7486297015538255, -0.425162271301204, -0.10100086380520956, 0.22332540380602506, 0.547287145309066, 0.8703555694834701, 1.1920033432388797, 1.5117054523620568, 1.8289400584788824, 2.1431893508325857, 2.453940391487788, 2.760685952580861, 3.062925344249904, 3.360165231892979, 3.651920441420641, 3.937714751188317, 4.217081669315961, 4.489565195126147, 4.7547205634577265, 5.0121149706402, 5.261328280943713, 5.501953712351689, 5.733598500536601, 5.955884539955235, 6.168449001016896, 6.37094492231723, 6.563041776970994, 6.744426012119309, 6.914801560730842, 7.073890324861475, 7.2214326295836955, 7.357187646844726, 7.480933788561584, 7.592469068311432, 7.691611431026818, 7.778199050157685, 7.8520905918150925, 7.913165445465484, 7.961323920798984, 7.9964874104503245, 8.018598518306861, 8.027621153194204, 8.023540587786552, 8.00636348264559, 7.976117875348682, 7.932853134724139, 7.876639880268236, 7.807569866875517, 7.725755835070554, 7.631331326985597, 7.524450468384501, 7.405287717088733, 7.2740375782160775, 7.130914286696858, 6.976151457585878, 6.810001704740882, 6.632736228489965, 6.444644372960898], [-7.984531952453633, -8.06380132287659, -8.129908437401276, -8.182745391737496, -8.22222594200522, -8.248285645507407, -8.26088196591753, -8.259994342710105, -8.245624224720899, -8.217795067782056, -8.176552296435972, -8.121963229790431, -8.054116971636024, -7.9731242650052, -7.87911731141036, -7.772249555056028, -7.652695432377336, -7.520650087313653, -7.3763290527820615, -7.219967898870653, -7.051821848325865, -6.872165359961468, -6.6812916806692115, -6.479512366762366, -6.2671567754334365, -6.044571527156139, -5.812119939909142, -5.570181436145058, -5.3191509234726775, -5.059438150063339, -4.7914670358335645, -4.515674980495675, -4.232512149605803, -3.942440739774685, -3.6459342242405706, -3.3434765800357162, -3.0355614980079064, -2.722691576986435, -2.4053775034079443, -2.08413721774112, -1.7594950690709041, -1.4319809592221366, -1.1021294778196746, -0.7704790296967752, -0.43757095607604146, -0.10394865095741634, 0.22984332584450096, 0.5632601375660595, 0.8957575598122207, 1.2267928688746683, 1.5558257276003853, 1.8823190673647827, 2.2057399647096743, 2.5255605112152946, 2.841258675186408, 3.1523191537460633, 3.458234213946157, 3.7585045215218282, 4.052639955937031, 4.340160410390832, 4.620596575478639, 4.893490705229274, 5.15839736426739, 5.414884154881815, 5.662532422812916, 5.900937940607075, 6.129711567422756, 6.348479884211251, 6.556885803235318, 6.754589150930764, 6.941267223159665, 7.116615311948832, 7.280347202853799, 7.432195642136475, 7.571912772993894, 7.699270540126074, 7.814061061982549, 7.916096970080037, 8.00521171483734, 8.081259837428297, 8.144117207209055, 8.193681224332096, 8.229870987216316, 8.2526274245998, 8.261913391959736, 8.257713732142104, 8.240035300102152, 8.208906951715303, 8.164379496676727, 8.106525615566495, 8.03543974121565, 7.95123790456686, 7.854057545281233, 7.744057287400454, 7.621416680430412, 7.486335906268931, 7.339035452455976, 7.179755752279687, 7.0087567923257, 6.82631768811027], [-8.103156217864559, -8.197925310855677, -8.279313222136594, -8.347187105116427, -8.401436171671708, -8.44197187298189, -8.468728044064445, -8.4816610117736, -8.480749666086465, -8.465995494560168, -8.437422579903775, -8.395077560668927, -8.339029555123412, -8.26937004843186, -8.18621274332777, -8.089693374520593, -7.979969487140778, -7.857220179584486, -7.721645811177632, -7.573467675136502, -7.412927637358706, -7.240287741634081, -7.055829781919943, -6.8598548423788355, -6.652682805929574, -6.434651832113733, -6.206117805129871, -5.967453752936412, -5.719049238371391, -5.461309723282899, -5.194655906708131, -4.919523038181329, -4.6363602072914585, -4.345629610649252, -4.04780579746013, -3.7433748949344303, -3.4328338147992605, -3.1166894422071634, -2.795457808365539, -2.4696632482372576, -2.139837544687374, -1.8065190604728674, -1.4702518594922882, -1.1315848187296158, -0.7910707323418906, -0.44926540935298753, -0.10672676642633094, 0.23598608280261812, 0.5783137403476557, 0.9196974369572568, 1.2595799441737263, 1.5974064838773943, 1.9326256338311771, 2.264690227747491, 2.593058248408294, 2.917193712380497, 3.2365675448826607, 3.5506584433749127, 3.858953728462547, 4.160950180724343, 4.456154862099709, 4.7440859204939585, 5.024273376288303, 5.296259889470889, 5.559601506136593, 5.8138683831372004, 6.05864548969907, 6.293533284863091, 6.518148369641178, 6.732124112824785, 6.935111249423988, 7.126778450760287, 7.306812865282623, 7.474920629223831, 7.630827346263999, 7.774278535417823, 7.905040046414859, 8.022898441894679, 8.12766134579307, 8.219157757350649, 8.297238330231302, 8.361775616294908, 8.412664273626387, 8.449821238481569, 8.47318586086919, 8.482720003547698, 8.478408104275335, 8.460257201211814, 8.428296921430196, 8.382579432557659, 8.323179357624142, 8.250193653257838, 8.16374145142633, 8.063963864981718, 7.951023757327144, 7.825105476580653, 7.686414554670311, 7.53517737185176, 7.371640787195798, 7.196071735649073], [-8.190225775334431, -8.300856227532, -8.397937487547518, -8.481311093095513, -8.550840956407024, -8.60641358636082, -8.647938273730931, -8.675347239248083, -8.688595744233378, -8.687662163623664, -8.672548021269339, -8.64327798744704, -8.599899838591213, -8.542484379310356, -8.471125326815157, -8.38593915794725, -8.287064919058187, -8.174663999049049, -8.048919865941073, -7.910037767407332, -7.758244395754275, -7.593787517899928, -7.4169355709527816, -7.227977224051447, -7.027220907180302, -6.8149943077302, -6.591643835626007, -6.357534057894004, -6.113047103592118, -5.858582040074252, -5.594554221606843, -5.321394611400887, -5.039549078166023, -4.7494776683349045, -4.451653855145783, -4.146563765808994, -3.8347053880188184, -3.5165877571058757, -3.1927301251568907, -2.863661113457984, -2.529917849644966, -2.192045090969003, -1.8505943351087557, -1.5061229199803443, -1.1591931140145022, -0.8103711983858259, -0.46022654269217833, -0.10933067559295084, 0.24174364807682602, 0.5924233821938181, 0.9421361247091626, 1.2903110519599854, 1.63637985040452, 1.9797776442601036, 2.3199439175297982, 2.6563234289126942, 2.9883671181045486, 3.315533002009347, 3.6372870593990516, 3.953104102577429, 4.262468634625225, 4.564875690827471, 4.859831662909373, 5.1468551047355735, 5.425477518157505, 5.695244117726275, 5.955714573022748, 6.206463727393217, 6.447082291917493, 6.677177513476624, 6.896373815829849, 7.104313412654308, 7.300656891546946, 7.485083768035286, 7.657293008692822, 7.817003522505179, 7.963954619684963, 8.097906437186426, 8.21864033022538, 8.325959229165289, 8.419687961187034, 8.499673536217259, 8.565785396648632, 8.61791563044438, 8.65597914727926, 8.679913817429469, 8.689680573184788, 8.68526347261741, 8.666669725603377, 8.63392968205417, 8.58709678237761, 8.526247470249, 8.451481067834818, 8.362919613672693, 8.260707663472239, 8.145012054161914, 8.01602163156704, 7.873946942163479, 7.719019889410131, 7.551493355221145], [-8.245172374682593, -8.371922305255685, -8.485007045017392, -8.584242009771836, -8.669465221817948, -8.740537574339907, -8.797343058466247, -8.839788952627014, -8.867805973899866, -8.881348391098147, -8.880394099416254, -8.864944656510536, -8.835025279956781, -8.790684806088468, -8.731995610282961, -8.659053488825748, -8.571977502545575, -8.470909782475708, -8.356015297858482, -8.227481586871898, -8.085518450517718, -7.930357610170759, -7.762252329348352, -7.581477000317296, -7.388326696213143, -7.183116689402814, -6.966181936876737, -6.737876533510473, -6.4985731340882555, -6.248662345031846, -5.988552086827571, -5.718666928192242, -5.439447393064737, -5.151349241554465, -4.85484272602035, -4.55041182349465, -4.238553445704474, -3.919776627980442, -3.594601698376451, -3.2635594283566984, -2.9271901664363202, -2.586042956189732, -2.24067464006635, -1.8916489504764822, -1.5395355896309717, -1.1849092996365567, -0.8283489243647917, -0.4704364646257915, -0.11175612818902358, 0.24710662379824644, 0.6055660324383316, 0.963036997196544, 1.3189360309399545, 1.672682212342693, 2.0236981341031397, 2.371410845425306, 2.715252787226052, 3.054662718541544, 3.3890866326209377, 3.7179786612118617, 4.040801965561729, 4.357029612680556, 4.666145435434889, 4.967644875069086, 5.261035804778576, 5.545839332990959, 5.82159058504366, 6.087839461982291, 6.34415137524117, 6.59010795600675, 6.825307738106163, 7.049366813306147, 7.261919457952806, 7.462618729929308, 7.651137034957145, 7.827166661316634, 7.990420282113786, 8.140631424273783, 8.277554903495485, 8.400967224457037, 8.510666945619343, 8.6064750080319, 8.688235027604364, 8.755813550366732, 8.809100270301506, 8.84800820939228, 8.872473859594859, 8.882457286499179, 8.877942194512832, 8.858935953459765, 8.825469586550792, 8.777597719745511, 8.715398492588287, 8.638973430663857, 8.54844727988073, 8.443967802852892, 8.325705537712137, 8.193853519744742, 8.048626966306863, 7.890262925532866], [-8.267637412788572, -8.410659738849827, -8.539953644365553, -8.655308087495522, -8.756534779287822, -8.84346849101623, -8.915967323877172, -8.973912940606102, -9.017210758635184, -9.045790104477078, -9.059604329082742, -9.058630883985021, -9.042871358103696, -9.012351475151965, -8.967121051648528, -8.90725391560386, -8.832847786013378, -8.744024113354204, -8.64092788134587, -8.523727370298557, -8.392613882435127, -8.247801429635324, -8.089526384111794, -7.918047092588127, -7.733643454608714, -7.536616465668663, -7.327287725909578, -7.105998915183086, -6.873111235338987, -6.629004820648316, -6.374078117323709, -6.1087472331498365, -5.833445258285465, -5.548621558345818, -5.254741040919064, -4.9522833967142095, -4.64174231657904, -4.323624685666097, -3.9984497560621057, -3.6667482992312648, -3.3290617396558804, -2.985941271088446, -2.6379469568577045, -2.285646815697211, -1.929615894588566, -1.5704353301326945, -1.2086913999812612, -0.8449745658765222, -0.47987850986163694, -0.11399916523459419, 0.252066256172482, 0.6177202388009733, 0.9823659386691235, 1.3454081575792516, 1.706254314638574, 2.064315413507895, 2.4190070037993925, 2.7697501350541556, 3.1159723017424406, 3.4571083777440585, 3.792601538783616, 4.121904171314989, 4.444478766371393, 4.759798796922171, 5.067349577304091, 5.36662910332447, 5.65714887166473, 5.938434677246976, 6.210027387262082, 6.471483690595824, 6.72237682142984, 6.962297255836273, 7.19085338022912, 7.407672130581147, 7.6123996013630055, 7.804701623210656, 7.984264308378109, 8.150794563085238, 8.304020565924308, 8.443692211544395, 8.569581518889448, 8.681483003323649, 8.779214012036675, 8.862615022181373, 8.931549901257238, 8.985906129314632, 9.025594982617106, 9.050551678461991, 9.060735480922903, 9.056129767341535, 9.036742055460248, 9.002603991151108, 8.95377129676147, 8.89032368016037, 8.812364704634199, 8.720021619844054, 8.613445154120626, 8.492809268435721, 8.358310872451959, 8.21016950311413], [-8.257474273977117, -8.416815712585501, -8.562418682471531, -8.694045521089663, -8.811481378635984, -8.914534568739915, -9.003036881347047, -9.076843857282423, -9.13583502404611, -9.179914092456166, -9.209009113818059, -9.22307259736395, -9.222081587770184, -9.20603770262645, -9.174967129795442, -9.128920584667357, -9.067973227378946, -8.99222454013232, -8.901798164813675, -8.796841701177055, -8.677526465922515, -8.544047213061983, -8.396621816029205, -8.235490912052693, -8.060917509372155, -7.873186557939494, -7.672604484305149, -7.459498691448936, -7.234217024371827, -6.997127202320929, -6.74861621857444, -6.489089708766306, -6.218971288781603, -5.938701863303413, -5.648738906139792, -5.3495557135055645, -5.041640631477754, -4.7254962588856575, -4.4016386269366725, -4.07059635691692, -3.7329097973415353, -3.389130141963012, -3.0398185300772647, -2.685545130595925, -2.32688821137992, -1.9644331953534233, -1.5987717049388555, -1.23050059637266, -0.8602209854781067, -0.4885372664853249, -0.11605612550013134, 0.25661444976813264, 0.6288661624032739, 1.0000913991836804, 1.369684222367743, 1.737041358744454, 2.101563184334827, 2.462654703136745, 2.8197265183157816, 3.17219579425667, 3.5194872079051187, 3.8610338878471855, 4.196278339593279, 4.524673355556604, 4.845682908240596, 5.158783025177555, 5.463462644190246, 5.759224447580486, 6.045585673883153, 6.322078905860509, 6.588252833450753, 6.843672990425347, 7.087922463552797, 7.320602573111272, 7.541333523639318, 7.749755023862495, 7.94552687478397, 8.128329524979259, 8.297864592188631, 8.45385535035585, 8.596047181318271, 8.724207990411005, 8.83812858530678, 8.937623017473122, 9.022528885689548, 9.092707601129273, 9.148044613572836, 9.188449598384343, 9.21385660394515, 9.224224159304347, 9.21953534187032, 9.199797805032878, 9.165043765670925, 9.115329951565965, 9.050737508807382, 8.971371869340569, 8.877362578874097, 8.768863085426883, 8.64605048886045, 8.509125251805107], [-8.21474928688976, -8.390350050156679, -8.552255543660078, -8.700201494825338, -8.833946416741963, -8.953272002334057, -9.057983480695208, -9.147909935006108, -9.222904581515984, -9.282845009132489, -9.327633379228985, -9.357196585343036, -9.3714863725055, -9.370479416005379, -9.35417735946193, -9.32260681214184, -9.27581930552586, -9.213891209195815, -9.136923606179241, -9.045042127955167, -8.93839674939032, -8.81716154394048, -8.681534399516593, -8.531736695479351, -8.368012941289566, -8.190630377404059, -7.99987853906859, -7.796068783719768, -7.579533782767398, -7.350626978586778, -7.109722007607281, -6.857212090438919, -6.593509390032334, -6.319044338919882, -6.03426493663593, -5.739636018463159, -5.435638496698483, -5.122768575677012, -4.801536941835386, -4.47246793013648, -4.136098668216102, -3.792978199648667, -3.4436665877629196, -3.088734001470492, -2.7287597845994807, -2.3643315102521374, -1.9960440217302098, -1.6244984615933888, -1.250301290435701, -0.8740632969814626, -0.49639860111660106, -0.11792365148259809, 0.2607437807306605, 0.6389856101508398, 1.0161844461018934, 1.3917246003488828, 1.7649930920639962, 2.1353806483733035, 2.5022826988512166, 2.8651003623392595, 3.2232414244784597, 3.576121304359797, 3.923164008714782, 4.2638030720888, 4.597482481462482, 4.9236575838119885, 5.24179597512675, 5.551378369433571, 5.851899446408668, 6.14286867619402, 6.4238111200718215, 6.694268205690031, 6.953798475573709, 7.2019783077003465, 7.438402606962995, 7.66268546639262, 7.874460797060284, 8.073382925631098, 8.259127158594492, 8.43139031224987, 8.589891207582594, 8.73437112922246, 8.864594247735603, 8.98034800456048, 9.08144345895965, 9.167715596421022, 9.239023598005147, 9.295251070198985, 9.336306234900881, 9.3621220792267, 9.372656464892565, 9.36789219699569, 9.347837052080996, 9.312523765447736, 9.262009977716836, 9.196378140746162, 9.11573538304728, 9.020213334923397, 8.909967913613919, 8.78517906879627], [-8.13974129159801, -8.331435476886574, -8.50953055657272, -8.673735832396515, -8.823783277930508, -8.959427976069732, -9.080448518801187, -9.18664736860025, -9.277851180864143, -9.353911086856174, -9.414702936698859, -9.460127502019361, -9.490110637916425, -9.504603403984465, -9.503582144197246, -9.48704852552077, -9.455029535192349, -9.407577436670298, -9.344769684326156, -9.266708797018664, -9.173522190755886, -9.065361970718595, -8.942404682984396, -8.804851026357849, -8.652925524776954, -8.486876160830718, -8.306973970986, -8.113512603184333, -7.90680783753084, -7.68719707085761, -7.455038766002852, -7.210711866704768, -6.954615179065175, -6.687166720592495, -6.408803037886661, -6.1199784940796285, -5.82116452719462, -5.512848880634606, -5.195534807056116, -4.869740246927834, -4.535996983114816, -4.194849772868228, -3.846855458637486, -3.4925820591561467, -3.1326078422851356, -2.767520381126704, -2.39791559494977, -2.024396776492103, -1.6475736072270553, -1.2680611622021913, -0.8864789060741953, -0.503449681978736, -0.11959869488580921, 0.26444750890010904, 0.64806206442928, 1.0306188113160422, 1.4114933157981466, 1.7900638899777324, 2.1657126065803842, 2.537826307575818, 2.9057976050138947, 3.2690258724423864, 3.626918225288123, 3.9788904886014116, 4.324368150583984, 4.662787300344185, 4.993595548348636, 5.316252928068005, 5.630232777345173, 5.935022598047104, 6.230124892597338, 6.5150579760235425, 6.789356762194779, 7.052573522965031, 7.304278618983908, 7.5440612009816945, 7.7715298803839605, 7.986313368161223, 8.188061080870806, 8.37644371290171, 8.551153773988455, 8.71190609111648, 8.858438273999926, 8.990511143371934, 9.107909121388476, 9.21044058350838, 9.297938171275252, 9.370259065490734, 9.427285219333191, 9.46892355104134, 9.495106095848296, 9.505790116918043, 9.500958175103243, 9.480618157410547, 9.444803264126907, 9.393571954627934, 9.327007851956733, 9.245219606328991, 9.148340717787102, 9.036529318292782], [-8.032939819783369, -8.240456492454264, -8.434522561280971, -8.61482125912641, -8.78105829084315, -8.932962313640909, -9.07028537998973, -9.192803342335925, -9.300316218970123, -9.392648520450313, -9.469649536047019, -9.531193579743046, -9.577180195386298, -9.60753432066079, -9.622206409608172, -9.621172513499857, -9.604434319927663, -9.572019150049227, -9.523979913992644, -9.460395024493145, -9.3813682689028, -9.28702863978209, -9.17753012434996, -9.05305145313596, -8.913795808244757, -8.759990491709214, -8.591886554473387, -8.409758386610989, -8.213903269448249, -8.004640890322172, -7.7823128207662915, -7.5472819589755975, -7.2999319374607445, -7.040666496858344, -6.769908826919499, -6.48810087575224, -6.19570262844535, -5.893191356251073, -5.581060837552251, -5.259820551885427, -4.929994848335543, -4.592122089659579, -4.246753773536198, -3.8944536323757046, -3.5357967131596997, -3.171368438812357, -2.801763652635423, -2.4275856473666675, -2.049445180446613, -1.6679594771009034, -1.2837512228655474, -0.8974475471994626, -0.5096789998434015, -0.12107852159602661, 0.26771958881281255, 0.6560807100653137, 1.0433709341255353, 1.428958100944894, 1.8122128303145373, 2.192509549180249, 2.569227512743065, 2.941751817678947, 3.3094744058235595, 3.6717950566840027, 4.0281223671573265, 4.377874716856797, 4.72048121747014, 5.055382644600202, 5.38203235056706, 5.699897156681539, 6.008458223533843, 6.307211897876629, 6.595670534720296, 6.873363293298543, 7.139836905604978, 7.394656416246379, 7.637405892404874, 7.8676891027502975, 8.085130164194483, 8.289374155431835, 8.48008769626477, 8.65695949176832, 8.819700840405787, 8.968046105265955, 9.101753147652797, 9.220603722319833, 9.324403833704075, 9.41298405257809, 9.486199792603294, 9.54393154633309, 9.586085080280606, 9.612591588732682, 9.623407806058975, 9.618516077332899, 9.597924387149153, 9.561666346590744, 9.509801138366804, 9.442413420210762, 9.359613186696555, 9.261535589698376], [-7.895041899861017, -8.118006861498532, -8.32772108946633, -8.5238422746941, -8.706050295551401, -8.874047740370804, -9.027560392902375, -9.166337679907102, -9.290153080158667, -9.39880449418599, -9.492114574152998, -9.569931013337186, -9.63212679473446, -9.678600398384475, -9.709275967078046, -9.72410343017618, -9.723058585338588, -9.706143138028315, -9.67338469872796, -9.624836737872076, -9.560578498569289, -9.480714867256573, -9.385376202496875, -9.274718122199456, -9.148921249610323, -9.008190918487328, -8.85275683794119, -8.682872717489488, -8.498815852935637, -8.300886673748831, -8.0894082526837, -7.864725778440163, -7.6272059922241855, -7.377236589129175, -7.115225585315072, -6.841600652018089, -6.55680841747819, -6.261313737923686, -5.955598938802982, -5.640163027501896, -5.315520878831681, -4.982202394617174, -4.640751638756926, -4.291725949167059, -3.935695028058414, -3.573240012031917, -3.204952523509989, -2.8314337050523224, -2.453293238132268, -2.0711483479754698, -1.6856227960851078, -1.2973458620981768, -0.9069513166347556, -0.5150763868167554, -0.12236071614478194, 0.2705546795691758, 0.6630284585090658, 1.0544199996941632, 1.4440904486419242, 1.8314037601474082, 2.2157277364772154, 2.596435059283376, 2.9729043135527284, 3.3445210019205613, 3.7106785476927615, 4.070779284939387, 4.4242354340434815, 4.770470061112814, 5.108918019688563, 5.439026873213736, 5.760257796755729, 6.0720864565110615, 6.3740038656568, 6.665517215151628, 6.946150678130495, 7.215446186579891, 7.472964179025944, 7.718284318014982, 7.951006176215396, 8.17074989002091, 8.377156779588447, 8.569889934298446, 8.748634762682101, 8.913099505917796, 9.063015714058658, 9.198138684213855, 9.318247859968398, 9.423147191389546, 9.512665455032117, 9.586656533420445, 9.64499965355071, 9.687599584024431, 9.714386790491282, 9.72531754914754, 9.720374018104884, 9.699564266513097, 9.66292226138905, 9.610507812173573, 9.542406473106626, 9.458729403580147], [-7.726947507898206, -7.964885738476286, -8.189823169543978, -8.401392643738369, -8.59924882373676, -8.783068755938494, -8.952552397610624, -9.107423106636997, -9.24742809307131, -9.372338831757167, -9.481951435341543, -9.576086987072863, -9.654591832840438, -9.717337831978615, -9.764222566426207, -9.795169507899866, -9.810128142808463, -9.809074054704638, -9.792008964138883, -9.758960725851164, -9.709983283304604, -9.645156580635504, -9.564586432163363, -9.468404349673941, -9.356767327757238, -9.229857587550825, -9.087882279306758, -8.9310731442676, -8.75968613640344, -8.574001004627329, -8.37432083617109, -8.160971561866821, -7.934301424141595, -7.69468040859374, -7.442499640078513, -7.17817074428892, -6.902125175873761, -6.614813514189536, -6.316704727835822, -6.008285409174509, -5.690058980082411, -5.362544870233643, -5.026277669253064, -4.681806254124654, -4.329692893279143, -3.970512328823271, -3.6048508384087032, -3.2333052782718825, -2.856482109006835, -2.4749964056611247, -2.0894708537707625, -1.7005347329727432, -1.308822889854316, -0.9149747017154696, -0.519633032936136, -0.12344318565155299, 0.2729481535514713, 0.6688939691980255, 1.0637479730254542, 1.4568656588966775, 1.847605354804602, 2.2353292702505354, 2.619404537286879, 2.9992042435249906, 3.3741084554219305, 3.7435052301759457, 4.106791614578916, 4.463374629195403, 4.812672236261903, 5.154114289726348, 5.4871434658772325, 5.811216173043258, 6.125803438878686, 6.430391773786061, 6.724484009066998, 7.007600108432976, 7.279277951551459, 7.539074088348494, 7.786564462836465, 8.021345105285594, 8.243032791609359, 8.45126566888752, 8.645703846005777, 8.826029948447921, 8.991949636334972, 9.143192084865694, 9.279510426374259, 9.400682153283567, 9.50650948129644, 9.596819672231902, 9.671465315979534, 9.730324571111787, 9.773301363761387, 9.80032554443929, 9.811353002537196, 9.806365738327738, 9.78537189234478, 9.748405732095925, 9.695527596128873, 9.62682379554296], [-7.529753694016433, -7.782092452066213, -8.021728777581165, -8.248271520716122, -8.461350903814408, -8.660619124982762, -8.845750925795983, -9.016444122204687, -9.172420097779561, -9.31342425848706, -9.439226448254185, -9.54962132464404, -9.644428694028983, -9.723493805714291, -9.786687604532187, -9.833906941494007, -9.865074742156626, -9.880140132428323, -9.87907852160876, -9.861891642527489, -9.82860754871553, -9.779280568614592, -9.71399121689868, -9.632846063052872, -9.535977557423728, -9.423543815025308, -9.295728357453672, -9.152739813331099, -8.99481157776901, -8.822201431405444, -8.635191119638895, -8.43408589274532, -8.219214007628985, -7.9909261920204, -7.749595071995925, -7.495614563753487, -7.2293992306372035, -6.95138360646037, -6.662021486231396, -6.361785185440361, -6.051164769115253, -5.730667251906259, -5.400815770503797, -5.062148729741125, -4.715218923775282, -4.360592633780867, -3.9988487036294345, -3.630577595063239, -3.256380423905551, -2.876867978880687, -2.4926597246453315, -2.1043827906584003, -1.712670947539973, -1.3181635725900382, -0.9215046061556986, -0.5233415005502694, -0.12432416323988504, 0.27489610397729447, 0.6736676680678578, 1.0713396284005374, 1.4672628791881306, 1.8607911689998025, 2.251282155614263, 2.6380984544921477, 3.0206086791560787, 3.3981884717803723, 3.7702215223080824, 4.1361005744319606, 4.495228416797337, 4.847018857808935, 5.190897682450572, 5.5263035895558685, 5.852689108000187, 6.169521490318257, 6.476283582288884, 6.772474667067408, 7.0576112824879615, 7.331228010201578, 7.59287823536198, 7.842134875619104, 8.078591078230428, 8.301860884152203, 8.511579858026689, 8.707405683036995, 8.889018719658647, 9.05612252739582, 9.208444348650572, 9.345735553935405, 9.4677720477023, 9.574354634125921, 9.665309342243857, 9.740487709923244, 9.799767026190212, 9.843050531526645, 9.8702675758073, 9.881373733619487, 9.876350876777092, 9.855207203910567, 9.817977227084604, 9.764721715465312], [-7.3047474226108395, -7.570819983156761, -7.824534963699396, -8.06547823430605, -8.293256511851597, -8.507498001960514, -8.707853005873632, -8.893994491248957, -9.06561862596492, -9.222445274054753, -9.364218452962437, -9.490706751373935, -9.601703706941628, -9.697028143285468, -9.77652446572073, -9.840062915229682, -9.887539780262603, -9.918877566022463, -9.934025120956921, -9.932957720251173, -9.915677106185402, -9.882211485290913, -9.832615482309606, -9.766970051031958, -9.685382342159041, -9.58798552840424, -9.47493858712016, -9.346426040805582, -9.202657655915921, -9.043868100468938, -8.870316561004461, -8.682286319523433, -8.480084291096787, -8.264040522898895, -8.034507655483312, -7.791860347180144, -7.536494662554613, -7.268827425924933, -6.989295540994835, -6.69835527771119, -6.396481527510822, -6.084167028172106, -5.761921559536636, -5.430271111413736, -5.08975702502601, -4.740935109397335, -4.384374734125569, -4.020657900020831, -3.6503782891262775, -3.274140295672039, -2.8925580395440433, -2.506254363877958, -2.1158598184145374, -1.722011630275691, -1.3253526638413513, -0.9265303714248336, -0.5261957364594432, -0.1250022109214175, 0.2763953512765057, 0.6773417631798109, 1.077182574230538, 1.4752651385036668, 1.8709396799977958, 2.2635603532414192, 2.6524862974834678, 3.037082682747534, 3.416721746042235, 3.7907838160363907, 4.158658324526508, 4.519744803045495, 4.873453862986008, 5.219208157638459, 5.55644332457353, 5.88460890683087, 6.2031692514103876, 6.511604383599606, 6.809410855709849, 7.096102568836011, 7.371211566298485, 7.634288797472189, 7.8849048507559445, 8.122650654485716, 8.34713814464776, 8.558000898301678, 8.754894731679562, 8.937498261984894, 9.105513431974249, 9.258665996465531, 9.396705969978616, 9.519408034777761, 9.626571908649717, 9.718022671817263, 9.793611052454533, 9.8532136703381, 9.896733238236123, 9.924098720706844, 9.935265450047197, 9.930215199202316, 9.908956211516914, 9.871523187279951], [-7.053397173114329, -7.33244717898358, -7.599528692293801, -7.854205765396598, -8.096062697969828, -8.324704715550446, -8.53975861391082, -8.74087336822671, -8.92772070604257, -9.099995643099021, -9.257416981147795, -9.399727766941623, -9.526695711649879, -9.638113570015364, -9.733799478633374, -9.813597252800859, -9.877376641451148, -9.92503353975814, -9.956490159062898, -9.971695153845312, -9.970623705533566, -9.953277563014598, -9.91968503977948, -9.869900967708281, -9.804006607569967, -9.722109516383323, -9.624343371855476, -9.51086775418451, -9.381867885582409, -9.237554327943421, -9.078162639151374, -8.903952988586926, -8.715209732462354, -8.512240949677008, -8.295377938951113, -8.06497467805864, -7.821407246042, -7.565073209351589, -7.296390972912244, -7.015799097175753, -6.723755582274262, -6.420737120442936, -6.107238317932206, -5.783770887679584, -5.4508628140588495, -5.109057491069946, -4.758912835376298, -4.401000375637299, -4.035904319622413, -3.6642206006296316, -3.2865559047647697, -2.9035266806693105, -2.5157581333132493, -2.1238832034952493, -1.7285415347159154, -1.3303784291104863, -0.9300437941450959, -0.5281910817959818, -0.12547622194305236, 0.27744344828109896, 0.679910257439186, 1.08126727328294, 1.4808593750402035, 1.8780343227452838, 2.272143821867, 2.662544581496805, 3.0485993643696236, 3.4296780270035523, 3.8051585482606596, 4.174428044649926, 4.536883770715178, 4.89193410287502, 5.238999505108966, 5.577513474913461, 5.906923467983731, 6.226691800112219, 6.536296524831354, 6.8352322853682095, 7.123011139520373, 7.399163356106625, 7.663238181692449, 7.914804576338803, 8.153451917173278, 8.37879066863519, 8.590453018300632, 8.788093477249578, 8.971389443995161, 9.140041731054605, 9.293775053302294, 9.432338477307887, 9.555505830926032, 9.663076072469103, 9.754873618860394, 9.830748632232122, 9.890577264500447, 9.934261859518298, 9.96173111247602, 9.972940186289673, 9.967870784787017, 9.9465311825717], [-6.777343356123163, -7.068529754230108, -7.348178442797287, -7.615832961223414, -7.87105642656423, -8.11343224664099, -8.342564800029049, -8.558080081816637, -8.759626314079757, -8.946874520076772, -9.119519061225443, -9.277278135985892, -9.419894239835235, -9.547134585583052, -9.658791483341624, -9.754682679530752, -9.834651654363793, -9.898567877329317, -9.946327020251443, -9.977851127580989, -9.993088743639543, -9.99201499660874, -9.97463163912764, -9.940967045431968, -9.891076165039841, -9.825040433059648, -9.742967637266403, -9.644991742163597, -9.531272670317726, -9.401996041322352, -9.257372868817864, -9.097639216061413, -8.92305581060927, -8.733907618740506, -8.53050338031668, -8.313175104836755, -8.082277529509804, -7.838187540230089, -7.581303556399634, -7.312044880602414, -7.030851014191675, -6.738180939907503, -6.434512372695648, -6.120340979950417, -5.796179572454423, -5.462557267335797, -5.120018624409141, -4.769122757309914, -4.410442420873146, -4.044563076246103, -3.6720819352609095, -3.293606985626907, -2.9097559985339805, -2.521155520286605, -2.1284398496146317, -1.7322500023300489, -1.3332326650196644, -0.932039139481639, -0.5293242796287094, -0.12574542259346977, 0.2780386842196234, 0.6813689583842237, 1.0835870582488472, 1.4840364575245526, 1.8820635169094035, 2.277018551000665, 2.6682568887531524, 3.0551399257528193, 3.4370361665880447, 3.8133222556170834, 4.183383994449327, 4.546617344479447, 4.902429412838132, 5.2502394201500175, 5.589479648519164, 5.9195963681948065, 6.240050741404693, 6.55031970188082, 6.849896808641875, 7.13829307263882, 7.415037754914334, 7.6796791349732345, 7.9317852481097795, 8.170944590488276, 8.396766790826147, 8.60888324758309, 8.80694773061623, 8.99063694631929, 9.159651065323205, 9.313714211896961, 9.452574914249709, 9.576006514999229, 9.683807541136709, 9.77580203288396, 9.851839830906307, 9.91179682141232, 9.955575138740343, 9.983103325101126, 9.994336447215842, 9.989256169659058], [-6.478387607432188, -6.7807901378216195, -7.072124625806126, -7.351915536469946, -7.6197061770677195, -7.875059442467808, -8.117558528623455, -8.346807612907185, -8.562432500197987, -8.764081233666705, -8.951424669262632, -9.124157012963646, -9.281996319912885, -9.424684954627322, -9.551990011526984, -9.663703695098445, -9.759643659072044, -9.839653304059212, -9.903602033164088, -9.951385465152166, -9.982925604828088, -9.998170970344415, -9.99709667723362, -9.979704479026108, -9.946022764388003, -9.896106510783333, -9.830037194736276, -9.747922658839922, -9.649896935728652, -9.53612002930144, -9.406777653553178, -9.26208092944034, -9.102266040275756, -8.92759384621499, -8.738349458463595, -8.53484177390025, -8.31740297087537, -8.0863879670082, -7.842173839867435, -7.58515921148091, -7.315763597679061, -7.0344267233341595, -6.741607804613056, -6.43778479941498, -6.123453627217863, -5.7991273596066275, -5.46533538280471, -5.122622533575761, -4.771548209905985, -4.412685457918714, -4.046620036511639, -3.6739494612433745, -3.295282029030116, -2.911235825244198, -2.5224377148353585, -2.129522319121401, -1.7331309799183765, -1.333910712701197, -0.9325131505032738, -0.5295934802791225, -0.12580937346602927, 0.2781800875096595, 0.681715485029289, 1.0841381426258407, 1.4847912001180514, 1.8830206857799385, 2.2781765837955597, 2.669613895256684, 3.056693690971577, 3.438784154366355, 3.815261612776716, 4.185511555446608, 4.548929636572286, 4.904922661754449, 5.2529095562483334, 5.592322313431367, 5.92260692194013, 6.24322426996341, 6.553651025215217, 6.853380489151433, 7.141923424035839, 7.418808851505432, 7.683584821331667, 7.935819149122709, 8.175100121762652, 8.401037169436176, 8.613261503141747, 8.811426716652802, 8.995209351944276, 9.164309427161646, 9.318450926270621, 9.457382249588303, 9.580876624460387, 9.688732475414085, 9.780773753182622, 9.856850222064159, 9.916837705146204, 9.960638286995149, 9.988180473480163, 9.999419308470511], [-6.158481029850922, -6.47110623167652, -6.773168877115146, -7.064175920061453, -7.343652360076554, -7.611142017714336, -7.86620827912694, -8.108434808734001, -8.337426228792392, -8.552808764757248, -8.754230855380861, -8.941363726553574, -9.11390192795007, -9.271563831605073, -9.414092091604632, -9.541254064142713, -9.6528421872574, -9.7486743196269, -9.828594037872337, -9.89247089188206, -9.940200617740732, -9.971705307915592, -9.986933538422164, -9.985860452761784, -9.968487802493982, -9.934843944377473, -9.884983794084437, -9.818988736563607, -9.736966493198526, -9.639050945977763, -9.525401918964103, -9.39620491741943, -9.251670825011072, -9.09203555959392, -8.917559688130083, -8.728528001374734, -8.525249049022285, -8.308054636071699, -8.077299281233003, -7.833359638259024, -7.576633881146867, -7.307541054212659, -7.0265203881004465, -6.7340305828416405, -6.430549059135275, -6.116571179071194, -5.792609437568153, -5.459192625846596, -5.116864968301558, -4.766185234184565, -4.407725825544481, -4.042071842915989, -3.6698201302808484, -3.291578300860669, -2.9079637453314984, -2.5196026240789973, -2.1271288451391075, -1.7311830294925534, -1.33241146540199, -0.931465053498685, -0.528998244340598, -0.12566797017599762, 0.27786742734363185, 0.680949271751272, 1.0829196268984889, 1.483122370881222, 1.8809042670042035, 2.2756160300359527, 2.6666133860139807, 3.053258123870215, 3.4349191371602443, 3.8109734541958753, 4.18080725489967, 4.543816872721606, 4.8994097799824825, 5.247005555035795, 5.586036829669296, 5.915950215199968, 6.236207205750651, 6.54628505723402, 6.845677640609178, 7.1338962680180416, 7.410470490453168, 7.674948865654905, 7.926899694984537, 8.165911728070608, 8.39159483407825, 8.603580638505886, 8.80152312446979, 8.985099197495156, 9.15400921289169, 9.307977464852986, 9.446752636481298, 9.57010821000316, 9.677842836506297, 9.769780664594284, 9.845771627422517, 9.905691687646987, 9.949443039886024, 9.976954270364534], [-5.819711459539203, -6.14149915477979, -6.4532622995338835, -6.754492013916358, -7.044696611385579, -7.323402401305848, -7.590154462135779, -7.844517383980532, -8.08607597929588, -8.314435960584067, -8.529224583975267, -8.730091257644121, -8.916708114068303, -9.088770545195002, -9.24599769964182, -9.388132941120464, -9.51494426733505, -9.62622468867117, -9.721792566057697, -9.801491907449751, -9.865192622448982, -9.912790734645487, -9.944208551334807, -9.959394790332961, -9.958324663682525, -9.94099991811315, -9.907448832190415, -9.857726170157747, -9.791913092546686, -9.710117023701446, -9.612471476433978, -9.499135834095753, -9.370295090421997, -9.226159547573006, -9.0669644728654, -8.892969714753665, -8.704459278688773, -8.501740863546182, -8.285145359379918, -8.05502630732252, -7.811759322512431, -7.555741480990771, -7.287390671568248, -7.007144913720136, -6.715461642622662, -6.4128169624978515, -6.099704869485562, -5.7766364453111585, -5.444139023064997, -5.102755326455395, -4.75304258394005, -4.395571619181838, -4.030925919313687, -3.6597006825332805, -3.2825018465822273, -2.899945099695465, -2.512654875635243, -2.1212633344501457, -1.7264093306227166, -1.328737370290037, -0.9288965592393098, -0.5275395433955556, -0.12532144353093244, 0.27710121406561933, 0.6790715692128362, 1.0799335000066579, 1.4790326937846454, 1.8757177151372408, 2.2693410692226283, 2.6592602586494882, 3.044838832202652, 3.4254474236997394, 3.8004647792832023, 4.169278771470877, 4.531287398309871, 4.8858997660029555, 5.232537053403449, 5.570633456804398, 5.8996371134798204, 6.21901100247058, 6.528233821144614, 6.826800836100633, 7.114224707026511, 7.390036282167518, 7.6537853641060405, 7.905041444602805, 8.143394407300137, 8.368455197140321, 8.579856455406295, 8.777253119348243, 8.960322985417207, 9.128767235186498, 9.282310923102369, 9.420703425267845, 9.54371884852721, 9.651156399183359, 9.742840710746194, 9.818622130177113, 9.878376962162339, 9.922007671016372], [-5.464289839967131, -5.794120052565458, -6.114492729222165, -6.424884937019628, -6.724790033804316, -7.013718495160752, -7.291198713444802, -7.556777767572044, -7.810022162304717, -8.050518535830598, -8.277874334478755, -8.49171845347094, -8.691701842662708, -8.87749807628555, -9.048803885760051, -9.205339654710397, -9.34684987537224, -9.473103565648923, -9.583894646135345, -9.67904227649402, -9.758391150634342, -9.821811750213179, -9.869200556043058, -9.900480217062857, -9.91559967659517, -9.914534255684327, -9.897285693378961, -9.863882143893424, -9.814378130652665, -9.748854457295586, -9.66741807578214, -9.570201911819439, -9.457364647891872, -9.32909046424933, -9.185588738276325, -9.027093702732751, -8.853864063424087, -8.66618257692511, -8.464355589046406, -8.248712534797003, -8.019605400659346, -7.777408150054266, -7.522516112933815, -7.255345340498248, -6.976331926090463, -6.685931293376347, -6.384617452972949, -6.072882228737815, -5.751234454982406, -5.420199145919959, -5.08031663870349, -4.732141711452667, -4.376242677709256, -4.013200458799128, -3.6436076356150657, -3.2680674813680763, -2.887192976885972, -2.501605810066613, -2.1119353611188525, -1.7188176752476292, -1.3228944244600365, -0.9248118601869078, -0.5252197584296444, -0.12477035915393875, 0.27588269833827195, 0.6760854423210052, 1.0751846360989927, 1.4725288442626765, 1.8674694960030702, 2.2593619437507764, 2.6475665154113, 3.031449558479013, 3.41038447432561, 3.783752740974742, 4.150944922693403, 4.511361664752227, 4.864414671730838, 5.209527667771559, 5.546137337213972, 5.873694244075011, 6.191663728873785, 6.4995267813371935, 6.796780887561948, 7.082940850250109, 7.357539580679384, 7.620128861115418, 7.870280076421642, 8.107584913672518, 8.331656028628183, 8.542127677982677, 8.738656316353712, 8.920921157039585, 9.088624695627885, 9.241493195601358, 9.379277135148282, 9.501751614448043, 9.608716722767106, 9.699997864766189, 9.775446045486017, 9.834938113546498], [-5.094535792428325, -5.431236057695358, -5.7590711096500895, -6.077505834805291, -6.386020463492594, -6.684111418264019, -6.971292135863537, -7.247093861426945, -7.511066413613738, -7.762778919422106, -8.001820517487591, -8.227801028717469, -8.440351593166193, -8.639125272112366, -8.823797614354454, -8.99406718580094, -9.149656061490468, -9.290310279238852, -9.415800254172533, -9.52592115347177, -9.62049323071199, -9.699362119257447, -9.762399084228417, -9.809501232630545, -9.840591681303419, -9.855619682414222, -9.854560706291604, -9.8374164814646, -9.80421499184121, -9.755010431031263, -9.689883113888119, -9.608939345413578, -9.512311247240033, -9.400156541973015, -9.272658295746199, -9.130024619409074, -8.972488328835015, -8.800306564904197, -8.613760373781721, -8.413154248175934, -8.198815630325834, -7.971094377528751, -7.73036219108073, -7.477012009561746, -7.211457367456031, -6.934131720154463, -6.645487736440755, -6.345996559616314, -6.036147038469796, -5.716444929346618, -5.387412070620902, -5.049585530917234, -4.7035167324727, -4.349770551069962, -3.9889243940106383, -3.6215672576339273, -3.2482987659188147, -2.8697281917392283, -2.486473462369585, -2.0991601508641007, -1.7084204549561761, -1.3148921651445042, -0.9192176236503754, -0.5220426759452951, -0.12401561656044435, 0.27421386910144263, 0.6719957652244241, 1.0686807865770194, 1.463621438317413, 1.8561730728762076, 2.245694942191738, 2.631551243580297, 3.0131121575342537, 3.3897548757540106, 3.760864617735807, 4.125835634256087, 4.484072196114366, 4.834989566520827, 5.178014955541357, 5.512588455042168, 5.838163952607934, 6.15421002294162, 6.460210795291115, 6.755666795486666, 7.0400957612148165, 7.313033429198006, 7.574034292994981, 7.822672330185128, 8.058541697749684, 8.281257394514872, 8.490455889575596, 8.685795715674017, 8.866958026564388, 9.03364711745444, 9.185590907673795, 9.322541384781555, 9.444275009388175, 9.550593080030872, 9.641322057506928, 9.716313848135572], [-4.712862477278955, -5.055215493859626, -5.389317062111287, -5.7146218399351945, -6.030598843920522, -6.336732316049686, -6.6325225655518185, -6.917486784530215, -7.191159836032477, -7.453095013277011, -7.702864768796614, -7.94006141230898, -8.164297776175031, -8.375207847358897, -8.572447364857943, -8.755694381627759, -8.924649790084873, -9.0790378103294, -9.218606440290763, -9.343127867061703, -9.452398838749177, -9.5462409962352, -9.624501164306064, -9.687051601674815, -9.73379020948878, -9.764640697981912, -9.779552710999855, -9.778501908194496, -9.761490004753853, -9.72854476860244, -9.679719975076662, -9.615095319149255, -9.534776285346013, -9.438893975567154, -9.32760489509436, -9.20109069713276, -9.059557886304887, -8.903237481580522, -8.732384639192645, -8.54727823615502, -8.34822041506115, -8.135536090907681, -7.909572420747217, -7.670698237036229, -7.419303445602946, -7.155798389217956, -6.88061317780632, -6.594196986394426, -6.297017321937597, -5.989559260225115, -5.672324654108289, -5.345831314343891, -5.010612164390109, -4.667214370534524, -4.316198448774078, -3.9581373499047565, -3.5936155243143837, -3.223227968005076, -2.847579251402424, -2.467282532536712, -2.082958556206905, -1.6952346407609717, -1.304743654146511, -0.9121229809028873, -0.518013481781171, -0.12305844768990926, 0.2720974503257121, 0.6668092133574612, 1.0604325674428488, 1.452325015190555, 1.841846884506085, 2.2283623727057322, 2.6112405843146957, 2.9898565608552987, 3.363592300944455, 3.731837769035361, 4.093991891156774, 4.449463536024691, 4.7976724799248895, 5.13805035379144, 5.470041570935322, 5.793104233908782, 6.106711019025267, 6.410350037091097, 6.703525668943987, 6.985759374434567, 7.256590473530418, 7.515576898267719, 7.762295914323027, 7.996344811027486, 8.217341558697102, 8.424925432206214, 8.618757599786276, 8.798521676088875, 8.963924238610302, 9.11469530663464, 9.250588781913692, 9.371382850364384, 9.476880344127999, 9.566909063400256], [-4.32176084470402, -4.6685124191646885, -5.0076437469619135, -5.338601276099459, -5.660844796381716, -5.973848321179586, -6.2771009459797416, -6.570107682315879, -6.852390265720754, -7.123487936380277, -7.382958191215348, -7.630377506163882, -7.865342027484052, -8.087468230950405, -8.296393547866778, -8.491776956874286, -8.673299540588358, -8.840665006156215, -8.993600168885166, -9.131855398152247, -9.255205024867404, -9.363447709825127, -9.456406772343254, -9.533930478652566, -9.595892289566427, -9.64219106702618, -9.672751239185214, -9.687522923762184, -9.686482009462104, -9.669630195332335, -9.636994987989306, -9.588629656720432, -9.524613146534556, -9.445049949302831, -9.350069933200338, -9.2398281307269, -9.11450448565305, -8.974303559304207, -8.819454196662521, -8.650209152831344, -8.466844680472077, -8.26966007888677, -8.058977205482535, -7.83513995041516, -7.598513675269434, -7.3494846166924415, -7.088459255953236, -6.815863655457925, -6.532142763303167, -6.23775968700323, -5.9331949375760935, -5.61894564522239, -5.295524747877499, -4.963460153961185, -4.623293880691491, -4.275581169369324, -3.9208895790778264, -3.55979806027591, -3.192896009797997, -2.820782308802563, -2.4440643452397475, -2.063357022433587, -1.6792817553972434, -1.2924654565193592, -0.9035395122773107, -0.5131387526475057, -0.1219004148950189, 0.2695368965661049, 0.6605342525441326, 1.0504534419709923, 1.4386580136315161, 1.8245143150200753, 2.2073925266290386, 2.5866676899807297, 2.9617207277248925, 3.3319394541366445, 3.6967195743654173, 4.05546567080396, 4.407592174967293, 4.7525243232953, 5.089699095318851, 5.418566132658048, 5.738588637352652, 6.049244248058254, 6.350025892678135, 6.640442616038994, 6.920020381259584, 7.188302843504276, 7.44485209485846, 7.689249379110073, 7.921095775270441, 8.140012848718825, 8.345643268907777, 8.53765139262107, 8.715723811832186, 8.879569865269072, 9.028922112850195, 9.163536772217467, 9.283194116653513, 9.387698833733767], [-3.923783377796659, -4.2736506099848, -4.6165421143869825, -4.951898201404525, -5.279171481232346, -5.597827757343854, -5.90734689844094, -6.207223687445782, -6.496968646148682, -6.776108834165944, -7.044188620903629, -7.300770429267152, -7.54543544990279, -7.77778432480531, -7.997437799175802, -8.2040373404658, -8.397245723597196, -8.576747581402746, -8.742249919388655, -8.893482593979066, -9.03019875346181, -9.152175240915675, -9.259212958461482, -9.351137192242497, -9.427797897603615, -9.489069944003933, -9.534853319262862, -9.565073292806455, -9.579680537647462, -9.578651210900027, -9.561986992697555, -9.529715083450327, -9.4818881594472, -9.418584286874008, -9.339906794388884, -9.245984104462575, -9.136969523759028, -9.013040992898347, -8.874400796010683, -8.72127523055503, -8.55391423794195, -8.37259099556309, -8.177601470893459, -7.9692639383942465, -7.747918460004749, -7.513926330071371, -7.267669485619723, -7.009549882932406, -6.73998884145008, -6.459426356066725, -6.168320378941659, -5.867146072000502, -5.5563950313453, -5.2365744848396805, -4.908206464178877, -4.571826952795981, -4.227985010995235, -3.8772418797404726, -3.520170064561436, -3.1573524010733927, -2.7893811036353164, -2.4168567986994347, -2.0403875444300823, -1.6605878381919705, -1.2780776135280396, -0.8934812282639732, -0.5074264453911546, -0.12054340839148736, 0.2665363873234059, 0.6531811251796404, 1.0387596987328043, 1.4226427418005172, 1.804203655754474, 2.182819632295077, 2.55787267003924, 2.92875058326208, 3.2948480011458594, 3.655567355905248, 4.010319858175942, 4.358526458074573, 4.699618790361258, 5.033040102161913, 5.358246161736185, 5.674706146807525, 5.981903511005524, 6.279336827006155, 6.5665206049937375, 6.842986085108707, 7.1082820025876305, 7.361975324346634, 7.603651955805877, 7.832917416801415, 8.04939748548112, 8.252738809133684, 8.44260948095369, 8.61869958180127, 8.780721686072082, 8.928411330851901, 9.061527447590018, 9.179852755586852], [-3.521527434049445, -3.8732070898046658, -4.218564647479617, -4.557036392224632, -4.888069848657411, -5.211124682648917, -5.525673583291566, -5.831203123610045, -6.127214598609877, -6.413224839295845, -6.688767001331554, -6.953391327052815, -7.206665879591068, -7.448177247908577, -7.677531221594537, -7.894353434320699, -8.098289974906217, -8.289007964994255, -8.46619610239749, -8.629565169225593, -8.778848503965296, -8.913802436742492, -9.034206687055885, -9.13986472333304, -9.230604083721843, -9.306276657593862, -9.366758927300049, -9.411952169784206, -9.44178261772511, -9.456201579944294, -9.455185520882914, -9.438736099018016, -9.40688016415545, -9.359669713603903, -9.297181807301527, -9.219518442033753, -9.126806384947573, -9.019196966634023, -8.89686583411666, -8.76001266414917, -8.608860837290111, -8.443657073286776, -8.264671028363335, -8.07219485507057, -7.866542725415675, -7.64805031805046, -7.417074270355039, -7.173991596311337, -6.919199071116569, -6.65311258354121, -6.3761664570885745, -6.088812741064, -5.791520472710869, -5.484774911617796, -5.169076747646682, -4.84494128367448, -4.5128975944826255, -4.1734876631671325, -3.8272654964788484, -3.47479622053796, -3.116655158398759, -2.7534268909702684, -2.3857043028256553, -2.0140876144578215, -1.639183402560882, -1.2616036099365882, -0.8819645466418871, -0.5008858840079591, -0.11898964317273375, 0.26310082022204395, 0.6447618335120733, 1.0253704250091609, 1.4043053408557578, 1.7809480590755147, 2.154683799164671, 2.524902525576423, 2.8909999434602023, 3.252378485030679, 3.608448284956379, 3.9586281431758574, 4.3023464735699015, 4.639042236941182, 4.968165856778588, 5.289180116311385, 5.601561035389053, 5.904798725755422, 6.198398223321122, 6.481880296075865, 6.754782226321779, 7.016658565951062, 7.267081863535044, 7.505643362037972, 7.731953666016553, 7.945643377216271, 8.146363697527029, 8.33378699831388, 8.507607355193585, 8.667541047384098, 8.813327020811904, 8.944727314221284], [-3.1176182939777526, -3.469795310550549, -3.8163087037324077, -4.156592872044503, -4.49009238175005, -4.816262873469028, -5.1345719507166345, -5.4445000489151125, -5.745541283460507, -6.0372042754601125, -6.319012953792752, -6.590507332182718, -6.851244260018996, -7.1007981456942435, -7.338761651282818, -7.564746357423969, -7.778383397324955, -7.9793240588491585, -8.167240353706514, -8.341825552817106, -8.502794686974134, -8.649885011989022, -8.782856437559374, -8.90149191915986, -9.00559781231625, -9.09500418868441, -9.16956511341828, -9.229158883374135, -9.2736882257623, -9.303080456922046, -9.317287600960563, -9.316286468062284, -9.30007869234081, -9.268690729171594, -9.222173812009778, -9.160603868763648, -9.084081397860217, -8.9927313042052, -8.886702695305205, -8.766168637884846, -8.63132587539609, -8.482394506880917, -8.319617627711494, -8.143260932794256, -7.953612282885549, -7.7509812347267815, -7.535698535765964, -7.308115584290425, -7.068603855851883, -6.8175542969201395, -6.555376686755062, -6.282498968538483, -5.999366550857782, -5.7064415806812905, -5.404202189012247, -5.093141710452592, -4.773767877950427, -4.446601994045628, -4.112178079966235, -3.771042003964617, -3.4237505903161685, -3.070870710434831, -2.7129783575890944, -2.350657706728651, -1.984500160956451, -1.6151033862024355, -1.243070335674726, -0.86900826568057, -0.4935277444234627, -0.11724165539442355, 0.2592358030159376, 0.6352901200515686, 1.0103074756350312, 1.3836757422841628, 1.754785484265959, 2.123030952356865, 2.4878110725856377, 2.8485304273450263, 3.2046002272707264, 3.555439272301293, 3.900474900350344, 4.23914392204247, 4.570893539987235, 4.895182251090659, 5.21148073043146, 5.5192726952592865, 5.818055747704654, 6.1073421948251365, 6.386659844649167, 6.655552776918222, 6.913582087269196, 7.160326603642403, 7.395383573745724, 7.618369322452831, 7.828919878062466, 8.02669156639647, 8.211361571766925, 8.38262846389671, 8.540212689933407, 8.683857030753483], [-2.714692027506438, -3.066048096174974, -3.412399563660715, -3.7531810927903857, -4.0878364380028405, -4.4158193532888985, -4.736594483809274, -5.049638239735224, -5.354439650885575, -5.650501200765179, -5.937339638643382, -6.214486768346986, -6.481490212480194, -6.737914150824147, -6.983340031710745, -7.217367255209636, -7.439613827013236, -7.649716981952428, -7.847333776125253, -8.03214164667201, -8.203838938283159, -8.362145395580534, -8.506802620568212, -8.63757449440639, -8.754247562819739, -8.856631384511228, -8.944558842012686, -9.017886414464682, -9.07649441188053, -9.120287170511977, -9.149193208997751, -9.163165345040039, -9.16218077241846, -9.146241098215864, -9.115372340195137, -9.06962488433134, -9.009073402568468, -8.933816730935096, -8.84397770821785, -8.739702975456023, -8.621162736584635, -8.488550480616592, -8.342082665817472, -8.181998366388395, -8.00855888223371, -7.822047312450467, -7.622768093235838, -7.411046500966746, -7.187228121262809, -6.951678284899225, -6.704781471490377, -6.446940681917412, -6.17857678052427, -5.900127808155773, -5.612048267159161, -5.314808379516086, -5.008893319315993, -4.69480242082374, -4.3730483634340365, -4.044156334843112, -3.708663173803555, -3.3671164938614884, -3.0200737895065033, -2.668101526193215, -2.3117742157198906, -1.9516734784732652, -1.5883870940702949, -1.2225080419464178, -0.8546335334563011, -0.4853640370670349, -0.11530229823479088, 0.2549476444351011, 0.6247814451388956, 0.9935954373265705, 1.3607876190452324, 1.7257586355655128, 2.087912757686926, 2.4466588541254684, 2.801411356396162, 3.15159121461564, 3.4966268426646914, 3.8359550511679057, 4.169021966767677, 4.495283936191947, 4.814208413640108, 5.12527483003856, 5.427975442747062, 5.721816164329001, 6.0063173690327005, 6.281014675667494, 6.545459705596585, 6.799220814609564, 7.041883797479876, 7.273052564057262, 7.492349785791637, 7.6994175116330315, 7.893917752302363, 8.075533031979301, 8.24396690650675, 8.398944447266095], [-2.3153782899406306, -2.6646004598120117, -3.009473297189396, -3.349433878414806, -3.6839272979311435, -4.012407574034777, -4.33433854006206, -4.64919471955509, -4.956462183978211, -5.255639391585286, -5.546238006068446, -5.827783693652049, -6.09981689733082, -6.36189358698841, -6.613585984171939, -6.854483260339537, -7.084192207441161, -7.302337879738092, -7.50856420581353, -7.702534569775276, -7.883932360701893, -8.052461489435435, -8.207846871877233, -8.3498348779979, -8.478193745828573, -8.592713959757756, -8.693208592516172, -8.779513610291499, -8.851488140474935, -8.909014701602523, -8.95199939511598, -8.980372058629966, -8.994086380455645, -8.993119975193615, -8.977474420272785, -8.947175253375608, -8.902271930753825, -8.842837746502784, -8.768969712926099, -8.680788402185918, -8.578437749497278, -8.462084818187769, -8.331919527006018, -8.188154340124072, -8.031023920339688, -7.860784746044608, -7.677714692584, -7.482112578690433, -7.274297678732683, -7.05460920157555, -6.823405736901304, -6.5810646698965005, -6.327981565259586, -6.064569521534704, -5.79125849682565, -5.508494606990571, -5.216739397462909, -4.916469089887238, -4.6081738047996055, -4.292356761621228, -3.96953345727136, -3.6402308247399873, -3.3049863729938935, -2.9643473096198756, -2.618869647637303, -2.2691172979378322, -1.915661148833738, -1.5590781342172515, -1.199950291851874, -0.8388638133328858, -0.47640808726763373, -0.11317473723751403, 0.25024334388816305, 0.6132529617100988, 0.9752615885490927, 1.3356783306079163, 1.6939148924661949, 2.049386537334112, 2.4015130414974455, 2.749719641396078, 3.0934379717901224, 3.4321069934822486, 3.7651739090820207, 4.092095065317378, 4.412336840420545, 4.7253765151398435, 5.030703125955705, 5.327818299108269, 5.616237064075103, 5.895488645171354, 6.165117229980114, 6.424682713358831, 6.6737614158072605, 6.911946775024419, 7.138850009525786, 7.354100753237459, 7.557347660031529, 7.748258977215858, 7.926523087042183, 8.091849015348682], [-1.9222831598008552, -2.268072406645102, -2.610159559623593, -2.947986242051849, -3.281001031459829, -3.6086603596592015, -3.9304293999903677, -4.245782940300972, -4.554206240231, -4.855195871405157, -5.148260539161086, -5.432921884472161, -5.708715264755889, -5.975190512293477, -6.23191266902257, -6.478462696503804, -6.714438159902359, -6.939453884867996, -7.153142586241458, -7.355155467560943, -7.545162790390174, -7.722854412538705, -7.887940294295971, -8.040150971852805, -8.179237997137598, -8.304974343349269, -8.41715477552501, -8.51559618553803, -8.600137890978422, -8.67064189742934, -8.726993123710386, -8.769099589720513, -8.796892566573877, -8.810326688783544, -8.809380028309974, -8.794054130353361, -8.764374010831474, -8.720388115547054, -8.662168241111459, -8.589809417753608, -8.503429754205529, -8.403170244917664, -8.289194539918661, -8.161688677695249, -8.020860781528233, -7.866940719780283, -7.700179730689978, -7.520850012284573, -7.329244278080845, -7.125675279299234, -6.910475294371177, -6.683995586572823, -6.446605830670511, -6.198693509513791, -5.9406632815609655, -5.672936320369501, -5.395949627129397, -5.110155317361721, -4.816019882946518, -4.5140234306847224, -4.204658898636926, -3.8884312515180994, -3.565856656461695, -3.237461640498371, -2.9037822311246897, -2.56536308136449, -2.222756580751147, -1.8765219536818143, -1.5272243466153137, -1.1754339056037155, -0.8217248456632027, -0.46667451350336187, -0.1108624451446758, 0.24513058003748744, 0.6007234872983638, 0.9553358549914488, 1.3083888619700592, 1.6593062323765198, 2.007515176276719, 2.352447324604726, 2.6935396568914105, 3.0302354202626907, 3.361985038207456, 3.688247007631725, 4.008488782734893, 4.32218764426528, 4.628831552736147, 4.927919984209558, 5.218964747283751, 5.501490779950627, 5.775036925022521, 6.0391566828626955, 6.293418940190794, 6.53740867377369, 6.770727627853175, 6.99299496420462, 7.2038478837656825, 7.402942218820289, 7.5899529947713535, 7.764574960585243], [-1.537972130529482, -1.8790518347226226, -2.2170644294838135, -2.5514581888849346, -2.8816872938940215, -3.20721272329624, -3.5275031335190485, -3.8420357259253937, -4.150297100159303, -4.451784092151035, -4.746004595413871, -5.032478364292026, -5.310737797848524, -5.580328703113585, -5.840811036447634, -6.091759621808867, -6.332764844752985, -6.563433321032259, -6.783388538702653, -6.9922714726908435, -7.189741170818099, -7.375475310324369, -7.549170723984249, -7.710543894956071, -7.859331419556332, -7.995290437204169, -8.11819902683403, -8.227856569129537, -8.324084073987258, -8.406724472675869, -8.475642874213872, -8.53072678554733, -8.57188629516828, -8.59905421987409, -8.6121862144282, -8.611260843943288, -8.59627961886866, -8.567266992524806, -8.524270321189107, -8.467359786797877, -8.396628282390887, -8.312191260485355, -8.214186544626912, -8.102774104425142, -7.9781357944408775, -7.84047505735146, -7.690016591878523, -7.527005986020249, -7.351709316186822, -7.164412712893375, -6.965421893719339, -6.755061664296509, -6.533675388140386, -6.301624426190115, -6.059287546971892, -5.807060308348589, -5.545354411864714, -5.274597030740652, -4.995230112613008, -4.7077096581592075, -4.412504976783842, -4.110097920581597, -3.800982097827264, -3.4856620672764866, -3.1646525145924946, -2.8384774122429883, -2.5076691642385374, -2.1727677371084746, -1.834319778532726, -1.4928777250682828, -1.1489989004266459, -0.8032446057741955, -0.45617920354024877, -0.1083691962283635, 0.23961769826552137, 0.5872134733188337, 0.9338507607193267, 1.278963756760048, 1.6219891457805793, 1.9623670196471295, 2.2995417916706797, 2.6329631034713343, 2.96208672330874, 3.2863754344121627, 3.605299911860324, 3.9183395865796222, 4.22498349505049, 4.524731113334989, 4.817093174064189, 5.101592465051911, 5.377764608231165, 5.645158817641965, 5.9033386352331965, 6.151882643277551, 6.390385152236703, 6.618456862953887, 6.835725502093067, 7.0418364297874465, 7.236453218505502, 7.4192582021896705], [-1.1649533670714245, -1.5000776453173157, -1.8327534002124444, -2.1624376169624595, -2.4885921637542463, -2.81068467012933, -3.1281893959532456, -3.4405880895624357, -3.747370833687989, -4.04803687777546, -4.342095455342179, -4.629066585037909, -4.908481854101314, -5.179885182933455, -5.442833569540273, -5.696897812628978, -5.941663212178054, -6.176730246337327, -6.401715223553283, -6.616250908855111, -6.819987123279297, -7.012591315454272, -7.193749104412177, -7.363164792741738, -7.520561849244613, -7.665683360307439, -7.798292449252767, -7.918172662984443, -8.025128325296281, -8.11898485626738, -8.19958905722271, -8.26680936079386, -8.32053604567177, -8.360681415700908, -8.387179943022607, -8.399988375033836, -8.399085804986893, -8.384473706114735, -8.356175929226294, -8.31423866377563, -8.258730362468535, -8.189741629529625, -8.10738507281227, -8.011795119992833, -7.903127799149127, -7.781560484081355, -7.6472916047911665, -7.5005403235914265, -7.341546177375367, -7.17056868662905, -6.987886931825317, -6.793799097890648, -6.588621987488547, -6.372690503913799, -6.1463571044417655, -5.909991225024911, -5.663978677275638, -5.4087210187197385, -5.144634897348323, -4.872151371538137, -4.591715206450329, -4.30378414805608, -4.008828175974177, -3.707328736339981, -3.39977795595806, -3.0866778390211005, -2.7685394477063383, -2.4458820679869704, -2.119232362020113, -1.78912350849494, -1.4560943323440547, -1.1206884252387583, -0.783453258303688, -0.4449392884991932, -0.1056990601300476, 0.23371369705298584, 0.5727449716864879, 0.9108413750874371, 1.2474510445298503, 1.582024544030662, 1.9140157611745439, 2.242882798513742, 2.5680888580880135, 2.889103117620811, 3.2054015969616123, 3.5164680133600643, 3.8217946241759257, 4.120883055649336, 4.413245116378536, 4.698403594177347, 4.975893035011607, 5.245260502743252, 5.506066318441844, 5.757884778056824, 6.000304847279111, 6.232930832457751, 6.455383026476599, 6.667298328536718, 6.86833083683289, 7.058152413156831], [-0.805661336603094, -1.1336231730578783, -1.4597346367543826, -1.7834634275571484, -2.104281134482873, -2.4216640982068505, -2.735094265813466, -3.044060036395522, -3.3480570961221816, -3.6465892414124985, -3.93916918887086, -4.22531937066233, -4.504572714029617, -4.776473403679333, -5.040577625793059, -5.2964542924488445, -5.543685745270689, -5.781868437157434, -6.0106135909783465, -6.229547834160174, -6.438313808129923, -6.636570751618535, -6.823995056873371, -7.000280797871638, -7.165140229672536, -7.318304258093102, -7.459522878941046, -7.588565586087709, -7.705221747715015, -7.809300950122281, -7.90063330853173, -7.979069744385368, -8.044482228680604, -8.096763990947435, -8.135829693526091, -8.161615570860652, -8.174079533581295, -8.17320123720528, -8.158982115344521, -8.131445377365557, -8.090635970505723, -8.036620506507376, -7.969487152889918, -7.889345489037101, -7.796326327334485, -7.690581499649046, -7.572283609499417, -7.44162575032132, -7.29882119028801, -7.144103024200227, -6.977723793013862, -6.799955071626325, -6.611087025594525, -6.4114279375079395, -6.201303703789927, -5.981057302748597, -5.751048234745514, -5.5116519353960625, -5.263259162759249, -5.006275359517225, -4.741119991185646, -4.468225861435011, -4.1880384056406665, -3.901014963814466, -3.6076240341049757, -3.3083445080845975, -3.0036648890719073, -2.694082494765086, -2.3801026454879177, -2.0622378393734384, -1.741006915831445, -1.4169342086654186, -1.0905486902211003, -0.7623831079637604, -0.43297311489349033, -0.10285639521784784, 0.2274282132909149, 0.5573415988215857, 0.8863452554970079, 1.213902162358047, 1.5394776599238114, 1.8625403228972703, 2.1825628275918736, 2.499022812663214, 2.8114037317408815, 3.119195696568708, 3.4218963092772094, 3.7190114824297735, 4.010056245503968, 4.29455553649169, 4.57204497732595, 4.842071631868684, 5.104194745222282, 5.357986463158108, 5.603032530487754, 5.838932967237021, 6.065302721519003, 6.281772298040578, 6.487988361216419, 6.683614311906098], [-0.4624409202420492, -0.7820800439743274, -1.1004426062860566, -1.4170089552977152, -1.7312623710248154, -2.0426899088015436, -2.350783236542097, -2.6550394644730466, -2.954961965982406, -3.2500611882455885, -3.539855451305057, -3.823871734299372, -4.101646447558302, -4.372726189303759, -4.6366684857213665, -4.893042513194727, -5.141429801523479, -5.381424916977304, -5.6126361240709866, -5.834686024980285, -6.047212175554991, -6.249867676923603, -6.442321741724001, -6.624260234035906, -6.7953861821337345, -6.955420263223006, -7.104101259368973, -7.241186483873376, -7.366452177403296, -7.479693873225552, -7.5807267309504685, -7.669385838240274, -7.7455264799896275, -7.809024374538947, -7.859775876534931, -7.897698146107183, -7.922729284084783, -7.934828433032099, -7.933975843938929, -7.920172908456104, -7.893442156623953, -7.853827220097305, -7.801392760927107, -7.736224366014854, -7.658428407412135, -7.568131868693314, -7.465482137684776, -7.350646765889012, -7.223813194996261, -7.085188450930122, -6.934998805926505, -6.773489409197502, -6.60092388678307, -6.417583911243615, -6.223768741895905, -6.019794736342737, -5.805994834093674, -5.582718013119747, -5.350328720229123, -5.1092062761935475, -4.859744256596571, -4.6023498494140975, -4.337443190375981, -4.065456677193395, -3.7868342637714627, -3.50203073555908, -3.2115109672188202, -2.9157491638285804, -2.615228086853483, -2.310438266151551, -2.0018771992992463, -1.6900485395439144, -1.375461273708487, -1.0586288913904176, -0.7400685468108996, -0.42030021468241063, -0.09984584147252429, 0.22077150655075561, 0.541028497101439, 0.8604023860921997, 1.1783718708909725, 1.4944179412246594, 1.8080247263411446, 2.118680337046747, 2.425877701244746, 2.7291153916111157, 3.0278984440564827, 3.3217391656384216, 3.6101579306052556, 3.8926839632721317, 4.168856106451385, 4.438223574183032, 4.700346687536629, 4.954797592283543, 5.201160957268196, 5.439034652338308, 5.66803040472765, 5.887774432819851, 6.097908056258826, 6.298088281409963], [-0.13753210943043648, -0.44774256680575775, -0.7572221899250113, -1.0654658262141643, -1.371970340556489, -1.6762354365421102, -1.9777644730840396, -2.2760652750677397, -2.5706509367110373, -2.8610406163231135, -3.1467603211652815, -3.4273436811324625, -3.7023327099924996, -3.9712785529408006, -4.233742219250052, -4.489295298819152, -4.737520661451787, -4.978013137723186, -5.210380180323776, -5.434242504800156, -5.649234708647631, -5.8550058677437145, -6.05122010914907, -6.237557159340973, -6.4137128669843655, -6.579399699387274, -6.734347211830171, -6.878302489003279, -7.011030557831225, -7.1323147710112185, -7.24195716063875, -7.339778761343544, -7.425619902408366, -7.499340468393852, -7.560820127843955, -7.6099585296986945, -7.646675467093621, -7.67091100827863, -7.682625594442417, -7.681800104282924, -7.66843588521836, -7.642554751187852, -7.6041989470453375, -7.553431079604785, -7.4903340154493225, -7.4150107456710685, -7.327584217762425, -7.22819713493328, -7.117011723181621, -6.9942094664978125, -6.8599908106347565, -6.714574835927398, -6.5581988996957135, -6.391118248814792, -6.21360560308445, -6.025950710078413, -5.828459872199653, -5.621455446713886, -5.405275319577283, -5.180272353917233, -4.946813814066444, -4.70528076609042, -4.456067455786906, -4.199580665172482, -3.936239048506778, -3.666472448938009, -3.390721196885308, -3.109435391303063, -2.823074165000397, -2.5321049352150453, -2.237002640664812, -1.9382489663220266, -1.6363315571762884, -1.331743222268913, -1.0249811302982863, -0.7165459981090678, -0.40694127338993313, -0.09667231291380718, 0.21375444233799934, 0.52383229382137, 0.8330551124954035, 1.1409181649588116, 1.4469189373083062, 1.7505579553741355, 2.051339599994017, 2.3487729159946484, 2.6423724135603472, 2.9316588606808294, 3.2161600653845293, 3.49541164648078, 3.7689577915526735, 4.036352000963474, 4.297157816662065, 4.5509495345978905, 4.797312899582543, 5.0358457814637445, 5.2661588315080925, 5.4878761179211395, 5.700635739467474, 5.904090416189236], [0.16694461313023945, -0.13279275943906343, -0.43231337911339507, -0.7311283490455907, -1.02874992419544, -1.3246923074585553, -1.618472442615709, -1.9096108028083023, -2.1976321732529756, -2.482066426917802, -2.7624492918939083, -3.038323109209983, -3.30923757985272, -3.574750499773887, -3.834428481684245, -4.08784766245619, -4.334594394980467, -4.574265923347608, -4.806471040252079, -5.030830725546034, -5.246978764900416, -5.45456234756358, -5.653242642241705, -5.84269535016108, -6.022611234409429, -6.192696624692337, -6.352673896680797, -6.5022819251675426, -6.641276510292419, -6.769430776141118, -6.886535541066673, -6.992399659129207, -7.086850332096644, -7.169733391497118, -7.24091355026269, -7.300274623553596, -7.347719718402642, -7.383171391870137, -7.406571777451252, -7.417882679529452, -7.417085635721845, -7.404181947014669, -7.379192675639741, -7.342158610695329, -7.293140201567551, -7.232217459260996, -7.1594898257996125, -7.075076011911031, -6.979113803259269, -6.871759835542081, -6.753189338820114, -6.623595851495088, -6.483190904403964, -6.332203675544687, -6.170880615997094, -5.99948504764959, -5.818296733388197, -5.627611420449563, -5.427740357683262, -5.219009787511373, -5.001760413414606, -4.776346843814106, -4.543137013256781, -4.3025115818488056, -4.054863313917705, -3.8005964369170977, -3.5401259816206245, -3.273877104681994, -3.002284394666886, -2.7257911626895304, -2.4448487188117283, -2.1599156353855244, -1.8714569985418574, -1.5799436490470287, -1.2858514137660912, -0.9896603289875667, -0.6918538568773234, -0.3929180963404675, -0.09334098957941306, 0.20638847435680274, 0.5057810577319604, 0.8043480726879779, 1.1016021789127333, 1.3970581791082846, 1.6902338109611748, 1.980650534322033, 2.2678343123096147, 2.5513163850643577, 2.8306340348883894, 3.105331341523183, 3.3749599263319423, 3.639079684172117, 3.8972595017633487, 4.149077961378328, 4.394124028707974, 4.631997723778087, 4.862310773822435, 5.0846872470465705, 5.298764166247912, 5.50419210129052], [0.44900211258330547, 0.1607138917980735, -0.1278366565527227, -0.41617854167890034, -0.7038411133838274, -0.990354830289986, -1.2752520262546643, -1.5580676737247514, -1.838340142784649, -2.1156119546583687, -2.389430528435851, -2.659348919804676, -2.924926550581351, -3.1857299278514115, -3.4413333515444693, -3.6913196092892804, -3.9352806574146646, -4.17281828698465, -4.403544773780765, -4.627083511170459, -4.843069624828724, -5.051150568309462, -5.250986698494495, -5.44225182998095, -5.624633767502068, -5.797834815512449, -5.961572264105866, -6.11557885047261, -6.2596031951430495, -6.393410212305386, -6.516781493527871, -6.62951566425911, -6.731428712524571, -6.822354289282785, -6.902143979950971, -6.970667546656866, -7.0278131408213795, -7.0734874857250425, -7.107616028760276, -7.130143063120963, -7.141031818730683, -7.1402645222612, -7.127842426143229, -7.103785806522147, -7.068133930161958, -7.020944990351543, -6.962296011917843, -6.892282725500962, -6.811019411296456, -6.7186387125198355, -6.615291418897763, -6.501146220539357, -6.376389432589323, -6.241224691112378, -6.095872620705345, -5.940570474379485, -5.775571746300841, -5.60114575802074, -5.4175772188718065, -5.225165761247049, -5.024225451520584, -4.815084277408245, -4.598083612604942, -4.373577659572491, -4.141932871387578, -3.90352735359342, -3.6587502470315494, -3.4080010926610806, -3.1516891794022013, -2.8902328760684597, -2.624058948478216, -2.353601862860007, -2.0793030766887703, -1.801610318110523, -1.5209768551316567, -1.2378607557656789, -0.9527241403451248, -0.6660324272189633, -0.37825357306679974, -0.08985730906985445, 0.19868562581455151, 0.48690425322341513, 0.7743281241492936, 1.0604880868374549, 1.3449170525656058, 1.6271507580561853, 1.9067285232767759, 2.1831940033917463, 2.4560959336376604, 2.724988865906716, 2.989433895835807, 3.2489993792145246, 3.5032616365426223, 3.7518056445869763, 3.9942257138092625, 4.2301261505585295, 4.459121902947871, 4.680839189360918, 4.894916108562259, 5.101003230415955], [0.706799570740654, 0.4308618470495045, 0.15422084290034643, -0.1226718904417603, -0.39936439082315145, -0.6754050229232922, -0.9503432154430476, -1.2237301965561778, -1.4951197264236002, -1.7640688255748138, -2.0301384979675205, -2.2928944475452386, -2.551907787123289, -2.8067557384461006, -3.057022322273096, -3.302299037366801, -3.542185527274885, -3.776290233817736, -4.004231036214957, -4.225635874807497, -4.440143358357405, -4.647403353933884, -4.847077558422798, -5.0388400507268285, -5.222377823754854, -5.397391295332314, -5.563594797198501, -5.720717041292717, -5.868501562568113, -6.006707137610448, -6.1351081783784975, -6.253495100423374, -6.361674664985765, -6.459470294412686, -6.546722360378894, -6.6232884444425295, -6.689043570509657, -6.743880408828309, -6.78770945117901, -6.820459156975865, -6.842076070039704, -6.852524905852707, -6.851788609152065, -6.839868381768675, -6.816783680665441, -6.782572186178359, -6.737289740512247, -6.681010256591508, -6.613825597414685, -6.535845426109763, -6.44719702693495, -6.348025097517108, -6.238491512666971, -6.118775060156645, -5.9890711488907025, -5.849591489947175, -5.700563751009091, -5.5422311847506345, -5.374852231784449, -5.198700098818226, -5.014062312709129, -4.821240251143922, -4.62054865071092, -4.412315093166631, -4.196879470735739, -3.974593431317105, -3.7458198045014246, -3.5109320093374046, -3.270313444813128, -3.024356864047548, -2.7734637332135326, -2.518043576238938, -2.25851330635526, -1.995296545585008, -1.7288229332785723, -1.4595274248291767, -1.1878495817106938, -0.914232853997079, -0.6391238565346047, -0.3629716399483529, -0.08622695767283872, 0.19065846979675483, 0.46723269223188124, 0.7430442673728876, 1.017642997802163, 1.2905806657853516, 1.561411764881203, 1.8296942271258954, 2.094990144604818, 2.3568664842341005, 2.6148957945850744, 2.868656903598053, 3.1177356060464825, 3.3617253396293796, 3.6002278485885313, 3.8328538337671727, 4.0592235880491545, 4.2789676161413555, 4.491727237687691, 4.697155172730298], [0.9386544999862934, 0.6758880144971604, 0.41201830105769055, 0.14747606480966757, -0.11730689137008543, -0.38189837168615526, -0.6458664928823756, -0.9087803891894874, -1.1702109156119875, -1.4297313484062446, -1.6869180816064757, -1.9413513184616877, -2.192615756654963, -2.440301266186667, -2.684003558815039, -2.923324847961494, -3.157874498003516, -3.3872696618952607, -3.611135906075182, -3.829107821640587, -4.040829620791602, -4.245955717570926, -4.444151291951483, -4.635092836351253, -4.818468683683162, -4.993979516078197, -5.161338853451292, -5.320273521112587, -5.470524095660753, -5.61184532843056, -5.744006545803566, -5.866792025728441, -5.980001349836396, -6.0834497305769535, -6.176968312840092, -6.260404449572433, -6.3336219509375855, -6.396501306613976, -6.448939880867291, -6.490852080079135, -6.522169492458442, -6.542840999707613, -6.552832860461089, -6.552128765360187, -6.540729863674281, -6.518654761424891, -6.485939491015735, -6.442637452418325, -6.3888193260090915, -6.32457295720031, -6.250003213053181, -6.165231811107039, -6.070397120704159, -5.965653937134398, -5.851173228968351, -5.727141858991444, -5.593762279194451, -5.451252200318326, -5.2998442364927, -5.139785525548121, -4.971337325621772, -4.794774588715099, -4.610385511899465, -4.418471066902307, -4.2193445088417185, -4.013330864911246, -3.800766403849585, -3.581998087061089, -3.3573830022830013, -3.1272877807238704, -2.8920879986244574, -2.6521675642180247, -2.4079180910905746, -2.1597382589639373, -1.9080331629450593, -1.6532136523036591, -1.3956956598576067, -1.1358995230605733, -0.8742492979001701, -0.6111720667264655, -0.3470972411406401, -0.08245586108174097, 0.18232010874449456, 0.44679848394623045, 0.7105475658847538, 0.9731368463207888, 1.2341377101177637, 1.4931241348550657, 1.749673386209249, 2.0033667079682527, 2.2537900055522355, 2.500534521925442, 2.7431975047957535, 2.9813828640129123, 3.214701818092396, 3.4427735288095804, 3.6652257228284277, 3.8816952993500036, 4.091828922788979, 4.29528359951074], [1.1430537238523528, 0.8941932569917901, 0.643873230303333, 0.3925022322573235, 0.14049056678726002, -0.11175041643472561, -0.3638089934293096, -0.6152737379523505, -0.8657341930513152, -1.1147815410395538, -1.362009270794863, -1.607013841293118, -1.8493953402939178, -2.0887581371031163, -2.3247115283467124, -2.5568703757020605, -2.784855734545458, -3.0082954724899538, -3.2268248768038132, -3.440087249718112, -3.6477344906518265, -3.849427664404016, -4.044837554385681, -4.233645199988296, -4.415542417211848, -4.590232301702622, -4.757429713379599, -4.91686174185847, -5.068268151913543, -5.2114018082504305, -5.346029078896205, -5.471930216548553, -5.588899717261464, -5.69674665588202, -5.795294997690723, -5.884383885736701, -5.963867903398784, -6.033617311743879, -6.09351826129522, -6.143472977864802, -6.183399922146723, -6.213233922810883, -6.232926282879827, -6.242444859215093, -6.241774114983304, -6.230915145016402, -6.209885674024573, -6.178720027664857, -6.137469076512579, -6.086200153027129, -6.024996941647586, -5.953959342197586, -5.87320330682239, -5.782860650724329, -5.6830788370055405, -5.574020735969198, -5.4558643592721, -5.328802569362595, -5.19304276467806, -5.048806541115812, -4.8963293303300235, -4.735860015444995, -4.5676605248121085, -4.392005404473484, -4.209181370030263, -4.019486838646921, -3.8232314419555635, -3.6207355206552285, -3.412329601631162, -3.1983538584475557, -2.9791575560943317, -2.755098480894347, -2.5265423565014995, -2.293862246943024, -2.057437947680375, -1.8176553656825885, -1.5749058895240946, -1.3295857505350557, -1.082095376047084, -0.8328387357899598, -0.5822226825062056, -0.3306562878598531, -0.07855017472330772, 0.1736841530677351, 0.4256349823973671, 0.6768910628941316, 0.9270422782003549, 1.175680315390502, 1.4223993314458094, 1.666796615697423, 1.9084732471566666, 2.147034745659594, 2.382091715762915, 2.613260482340301, 2.8401637168416674, 3.062431053193113, 3.2796996923322923, 3.4916149943924113, 3.6978310575682523, 3.8980112827193882], [1.3186632526039097, 1.0843528286509976, 0.8482724541693942, 0.610807474751955, 0.37234549603290246, 0.13327575101293299, -0.10601153527196105, -0.34512578270091954, -0.5836766935982456, -0.8212748898024138, -1.057532548234187, -1.2920640339264238, -1.5244865294823016, -1.7544206599345427, -1.9814911119856635, -2.2053272466185057, -2.425563704077128, -2.6418410002305164, -2.8538061133457515, -3.0611130603128007, -3.2634234613804534, -3.4604070924815367, -3.651742424245901, -3.837117146821382, -4.01622867964604, -4.18878466533966, -4.35450344690828, -4.513114527482891, -4.664359011841846, -4.807990028996309, -4.943773135148991, -5.071486696368418, -5.190922250354099, -5.301884846702127, -5.404193365115787, -5.497680811041763, -5.5821945882494095, -5.657596747908142, -5.723764213756414, -5.780588982994702, -5.827978302574648, -5.865854820596546, -5.894156712568105, -5.912837782318359, -5.921867537402039, -5.921231238871303, -5.910929925333594, -5.890980411256365, -5.861415259521415, -5.822282728273658, -5.773646692151072, -5.715586538024401, -5.648197035416794, -5.571588181814874, -5.485885023123769, -5.391227449559125, -5.287769967309287, -5.175681446340346, -5.0551448447557075, -4.92635691016008, -4.789527858515381, -4.644881031012685, -4.492652529520359, -4.333090831203379, -4.166456382942906, -3.9930211762180985, -3.8130683031441084, -3.626891494390905, -3.434794639737141, -3.237091292041696, -3.0341041554424932, -2.826164558618033, -2.6136119139713747, -2.396793163619348, -2.1760622130913014, -1.951779353661677, -1.724310674259411, -1.4940274639139868, -1.2613056057135728, -1.0265249632644449, -0.790068760653122, -0.552322956923351, -0.31367561608887584, -0.07451627371038061, 0.16476469892956214, 0.4037767320156327, 0.6421296947129647, 0.8794345319638412, 1.115303899528397, 1.3493527962328562, 1.5811991923932234, 1.8104646533887605, 2.036774957367342, 2.25976070607445, 2.4790579278088245, 2.694308671520498, 2.90516159108156, 3.1112725187759396, 3.3123050270721124, 3.5079309777617915], [1.464336989380714, 1.24512567331129, 1.0238819829209476, 0.8009670464111607, 0.5767447198989619, 0.35158099350756, 0.12584339397367827, -0.10009961525326361, -0.32587923544090014, -0.5511269345509842, -0.7754750487811211, -0.9985573826892868, -1.2200098069216292, -1.4394708525678523, -1.6565823011740508, -1.8709897694499364, -2.082343287716083, -2.2902978711469655, -2.494514082877425, -2.6946585880533673, -2.890404697922396, -3.0814329030762297, -3.267431394974532, -3.4480965748989068, -3.6231335495062647, -3.7922566121727503, -3.955189709342477, -4.111666891119933, -4.261432745370532, -4.4042428146207335, -4.539863995077298, -4.668074917114301, -4.788666306606889, -4.901441326521998, -5.006215898208426, -5.102819001861875, -5.1910929556744785, -5.27089367321321, -5.342090898607045, -5.40456841915897, -5.458224255035845, -5.502970825726449, -5.538735092996032, -5.565458680104026, -5.58309796709032, -5.591624161974573, -5.591023347752333, -5.58129650511127, -5.562459510830438, -5.534543111865169, -5.49759287515991, -5.451669113270933, -5.396846785920282, -5.333215377641692, -5.260878751718175, -5.179954980649672, -5.090576153427517, -4.992888159930277, -4.887050452792896, -4.773235787137834, -4.65162993859303, -4.522431400056954, -4.385851057705718, -4.24211184677107, -4.091448387651157, -3.9341066029479936, -3.770343316056752, -3.6004258319620823, -3.424631500925686, -3.243247265777372, -3.0565691935484716, -2.8649019922121726, -2.6685585133195353, -2.4678592413430334, -2.263131770561175, -2.054710270337999, -1.8429349396703358, -1.6281514518930735, -1.4107103904488882, -1.1909666766433742, -0.96927899031961, -0.7460091843978334, -0.5215216942357896, -0.2961829427738749, -0.07036074243600332, 0.15557630523752053, 0.38125941124516327, 0.6063202010853459, 0.8303913160410104, 1.053107012806199, 1.2741037604758145, 1.4930208339241977, 1.7095009026039025, 1.9231906138036203, 2.1337411694132555, 2.34080889525465, 2.544055802048721, 2.7431501371033282, 2.9377669258213834, 3.1275885021453242], [1.579124210076126, 1.3754625241487828, 1.1695557196977537, 0.961739891071455, 0.7523542486505188, 0.5417405651667675, 0.3302426178397395, 0.11820562724136785, -0.0940243061952577, -0.30610076710332557, -0.5176775906237725, -0.7284094274378559, -0.9379523074685601, -1.1459642013307123, -1.3521055786133749, -1.5560399620832426, -1.7574344769044665, -1.9559603939783918, -2.151293666516376, -2.3431154589698124, -2.5311126674540656, -2.7149784308167924, -2.89441263151647, -3.0691223854935954, -3.2388225202348915, -3.403236040250271, -3.5620945792026975, -3.7151388379530195, -3.8621190078047243, -4.002795178257772, -4.13693772860598, -4.264327702738722, -4.384757166535192, -4.498029547267876, -4.603959954461212, -4.702375481681741, -4.793115488767113, -4.876031864033317, -4.950989266032108, -5.017865344464033, -5.076550939886472, -5.126950261890713, -5.168981045457226, -5.202574685233926, -5.227676347518244, -5.244245059760236, -5.252253777440609, -5.2516894282145365, -5.242552933249173, -5.22485920572007, -5.198637126468931, -5.163929496862441, -5.120792968929117, -5.06929795288822, -5.00952850222166, -4.941582176476489, -4.865569882021921, -4.781615691020821, -4.689856638911124, -4.590442500727761, -4.483535546630217, -4.369310277034705, -4.247953137783366, -4.119662215815338, -3.984646915836515, -3.843127618515683, -3.695335320765002, -3.5415112586919766, -3.3819065138383295, -3.216781603348549, -3.0464060547370164, -2.8710579659478492, -2.6910235514255136, -2.5065966749371738, -2.3180783699093364, -2.1257763480616854, -1.930004497140211, -1.7310823685693975, -1.5293346558598149, -1.3250906646224627, -1.1186837750549263, -0.9104508977767645, -0.7007319239022785, -0.48986917024835996, -0.2782068205829189, -0.06609036382597733, 0.14613396987959426, 0.3581197743072302, 0.5695210325732054, 0.7799926819277001, 0.9891911769884243, 1.1967750504975374, 1.4024054706864901, 1.605746794339053, 1.8064671146498124, 2.0042388029838163, 2.198739043653148, 2.3896503608374773, 2.576661136788541, 2.7594661204727093], [1.6622757681365896, 1.4745127516071967, 1.2843429403931657, 1.0920767419089459, 0.8980279854273232, 0.7025134098270618, 0.5058521465912946, 0.30836519890057357, 0.11037491767080176, -0.08779552460869855, -0.28582266137813317, -0.48338325999019993, -0.680154849311216, -0.8758162460792844, -1.0700480791603089, -1.2625333108461056, -1.4529577543437942, -1.6410105866117015, -1.8263848557047635, -2.0087779818012432, -2.1878922510930208, -2.3634353017332415, -2.535120601048144, -2.702667913234162, -2.865803756776834, -3.024261850844964, -3.1777835499313283, -3.326118266030544, -3.4690238776649487, -3.606267125090862, -3.7376239910401767, -3.862880066375764, -3.981830900063878, -4.094282332892301, -4.200050814389519, -4.298963702427623, -4.390859545019904, -4.475588343853187, -4.553011799124748, -4.623003535284144, -4.68544930731154, -4.74024718719578, -4.787307730307857, -4.8265541213981935, -4.8579222999794425, -4.8813610648901395, -4.896832157868538, -4.9043103260002034, -4.903783362937454, -4.89525212882334, -4.878730548887669, -4.854245590717346, -4.821837220238141, -4.781558336479732, -4.733474685230499, -4.67766475172302, -4.614219632525409, -4.54324288684764, -4.46485036750553, -4.379170031818308, -4.286341732748448, -4.186516990624636, -4.079858745820554, -3.966541092793092, -3.846748995914164, -3.7206779875599523, -3.5885338489503615, -3.450532274259668, -3.3068985185465807, -3.157867030078444, -3.00368106764966, -2.8445923035190264, -2.6808604126140585, -2.5127526486728495, -2.3405434080153147, -2.164513781655825, -1.9849510964883716, -1.802148446293082, -1.6164042133296883, -1.4280215812987849, -1.2373080404658512, -1.0445748857558512, -0.8501367086375939, -0.6543108836272893, -0.45741705024940593, -0.2597765913004597, -0.061712108267318655, 0.13645310524373588, 0.33439559120763995, 0.531792255149588, 0.7283208935206229, 0.9236607196190416, 1.1174928871991034, 1.309501010912396, 1.4993716827324035, 1.6867949835192535, 1.8714649888897088, 2.0530802685666476, 2.231344378392972, 2.405966344206862], [1.7132489837867246, 1.541629914940959, 1.3674944984536301, 1.1911269693673607, 1.0128152061227351, 0.8328502606645536, 0.6515258833681008, 0.46913804356086786, 0.28598444642235865, 0.10236404705050894, -0.08142343751207193, -0.2650780174955685, -0.4482999200655735, -0.6307900786316258, -0.8122506210029603, -0.992385355594676, -1.170900254890725, -1.3475039353745615, -1.5219081331440876, -1.6938281744345494, -1.862983440281404, -2.029097824564668, -2.191900184687095, -2.351124784150607, -2.5065117263085037, -2.6578073785855265, -2.8047647864732665, -2.947144076625233, -3.0847128483935755, -3.2172465531683825, -3.344528860900397, -3.4663520132088506, -3.5825171624980707, -3.6928346965293395, -3.7971245479182008, -3.8952164880520446, -3.9869504049482067, -4.072176564599065, -4.150755855377533, -4.22256001510401, -4.287471840404175, -4.345385378015887, -4.396206097732921, -4.4398510467032555, -4.476248984830068, -4.505340501054404, -4.527078110329732, -4.541426331130104, -4.548361743365378, -4.547873026609003, -4.539960978575946, -4.524638513820612, -4.501930642656875, -4.4718744303346325, -4.4345189365395195, -4.389925135314527, -4.338165815534245, -4.279325462094167, -4.213500118009015, -4.140797227645125, -4.061335461342851, -3.9752445217151804, -3.8826649319387823, -3.7837478063830194, -3.6786546039513515, -3.5675568645377043, -3.4506359290280093, -3.328082643303935, -3.2000970467319383, -3.0668880456461336, -2.92867307235791, -2.7856777302489206, -2.638135425526701, -2.4862869862440267, -2.3303802692038595, -2.1706697553915015, -2.00741613459435, -1.8408858798872223, -1.6713508126778498, -1.4990876590224702, -1.3243775979357264, -1.1475058024321751, -0.9687609740485206, -0.7884348716063778, -0.6068218349847232, -0.4242183046793908, -0.24092233793380835, -0.05723312223074917, 0.12654951306072437, 0.3101255860860901, 0.4931954521550539, 0.6754602928409259, 0.8566226037312985, 1.0363866800338974, 1.2144590992450133, 1.3905492000925932, 1.5643695569722964, 1.7356364491020804, 1.9040703236295293, 2.0693962519360283], [1.7317111857709988, 1.576375981141764, 1.4184677141037643, 1.258244132701122, 1.0959667641831987, 0.9319004881229667, 0.7663131040635109, 0.5994748943983588, 0.43165818319916305, 0.26313689171080323, 0.09418609123948318, -0.07491844583636276, -0.24390069619951227, -0.41248483613699705, -0.580395691757321, -0.7473591881470174, -0.9131027967333809, -1.0773559801231336, -1.2398506336910216, -1.4003215231974124, -1.5585067177207321, -1.7141480171979775, -1.8669913738754826, -2.016787306982038, -2.163291309947459, -2.3062642495019756, -2.4454727560049405, -2.5806896043657996, -2.7116940849355182, -2.8382723637630756, -2.960217831629028, -3.077331441286375, -3.189422032358295, -3.2963066433624295, -3.397810810352398, -3.4937688516890866, -3.584024138476892, -3.668429350223491, -3.7468467153058413, -3.8191482358498927, -3.8852158966569657, -3.944941857835757, -3.9982286308255603, -4.044989237523367, -4.085147352255137, -4.11863742635947, -4.1454047951803625, -4.165405767294371, -4.178607695826576, -4.1849890317389065, -4.184539359003875, -4.177259411606279, -4.163161072345156, -4.142267353437903, -4.114612358958257, -4.080241229169433, -4.039210066843268, -3.99158584568568, -3.9374463010178538, -3.876879802891656, -3.8099852118463384, -3.7368717175419985, -3.6576586605331887, -3.5724753374735667, -3.481460790069582, -3.3847635781276333, -3.282541537065198, -3.174961520281688, -3.062199126809587, -2.944438414690403, -2.8218716005432696, -2.694698745816612, -2.5631274302349523, -2.427372412973922, -2.287655282116503, -2.1442040929626787, -1.9972529957828948, -1.847041853622898, -1.6938158507838281, -1.5378250926166106, -1.379324197283887, -1.2185718801558596, -1.055830531518394, -0.8913657882827, -0.725446100395648, -0.5583422926584776, -0.39032712266912295, -0.2216748356096785, -0.05266071660576266, 0.1164393586116077, 0.285349374008141, 0.4537936237774316, 0.621497162365733, 0.7881862532557848, 0.9535888157772119, 1.1174348692140974, 1.2794569734849097, 1.4393906656754232, 1.59697489171212, 1.751952432471465], [1.7175418824971964, 1.5785241837143014, 1.4369299160880384, 1.292990198901927, 1.1469399798333337, 0.9990176514567288, 0.8494646621239745, 0.6985251218567727, 0.5464454038945741, 0.39347374254829237, 0.23985982801628758, 0.08585439882392976, -0.06829116744795893, -0.22232526447779133, -0.3759964678912615, -0.5290539456523904, -0.6812478674877385, -0.8323298126754777, -0.9820531755336761, -1.1301735679459828, -1.276449218267666, -1.4206413659608406, -1.5625146513148103, -1.7018374996153471, -1.8383824991358462, -1.971926772333406, -2.1022523396438952, -2.2291464752822487, -2.3524020544671917, -2.471817891503642, -2.5871990681709707, -2.698357251881068, -2.8051110030869264, -2.9072860714399544, -3.0047156802126223, -3.097240798522177, -3.184710400911089, -3.266981713860533, -3.3439204488345267, -3.4154010214743176, -3.481306756585273, -3.54153007858164, -3.595972687078351, -3.6445457173432376, -3.6871698853477763, -3.7237756171795824, -3.7543031626054306, -3.7787026925994383, -3.7969343806772065, -3.8089684679031746, -3.8147853114650725, -3.8143754167361834, -3.8077394527730846, -3.79488825122357, -3.775842788646538, -3.7506341522727027, -3.719303489262007, -3.6819019395405848, -3.6384905523268776, -3.589140186483167, -3.533931394855177, -3.47295429278853, -3.406308411036677, -3.3341025333003858, -3.2564545186639875, -3.1734911092181806, -3.0853477231834283, -2.992168233871619, -2.8941047348467763, -2.7913172916681566, -2.683973680620919, -2.572249114860881, -2.4563259584203117, -2.336393428541612, -2.212647286824754, -2.0852895196925747, -1.9545280086955383, -1.8205761911940752, -1.683652711972373, -1.5439810663522864, -1.4017892353898653, -1.257309313749999, -1.1107771308665546, -0.9624318660063853, -0.8125156578655215, -0.6612732093347997, -0.5089513880800478, -0.35579882358876525, -0.20206550134107815, -0.04800235476732162, 0.10613914434165306, 0.2601073963029492, 0.41365108421881924, 0.5665195841922905, 0.7184633744116464, 0.8692344424359852, 1.0185866900171083, 1.1662763347969278, 1.3120623082247334, 1.4557066490448078], [1.6708335484119456, 1.5480605026435894, 1.422760612814236, 1.2951384014744645, 1.165402181817608, 1.0337637176575347, 0.9004378777741096, 0.7656422851905349, 0.6295969619550386, 0.4925239700067081, 0.3546470487116995, 0.21619124966142245, 0.07738256932884724, -0.06155241981749704, -0.20038693913970462, -0.3388943739931829, -0.4768486436216772, -0.6140245701808462, -0.7501982462880337, -0.8851474004983242, -1.0186517601103176, -1.1504934107094096, -1.2804571518617411, -1.408330848378207, -1.5339057765751702, -1.6569769649667117, -1.777343528832279, -1.894808998113675, -2.009181638106143, -2.1202747624200873, -2.22790703770264, -2.3319027796216307, -2.4320922396288647, -2.528311882034643, -2.620404650941249, -2.7082202265996975, -2.7916152707713096, -2.8704536606936193, -2.9446067112687193, -3.013953385111356, -3.078380490113954, -3.137782864206061, -3.192063547006654, -3.241133938089116, -3.2849139416005624, -3.3233320969994478, -3.356325695698066, -3.3838408834195457, -3.405832748102271, -3.4222653932082374, -3.4331119963156986, -3.438354852900447, -3.437985405234279, -3.43200425635347, -3.420421169074463, -3.403255050058366, -3.3805339189502837, -3.352294862643851, -3.318583974745612, -3.2794562803380685, -3.2349756461641976, -3.1852146763800384, -3.130254594045512, -3.0701851085469145, -3.005104269167473, -2.9351183050449974, -2.860341451777832, -2.7808957649621635, -2.696910920965005, -2.608524005258084, -2.515879288658106, -2.419127991838632, -2.3184280384979594, -2.2139437975858804, -2.105845815010112, -1.9943105352602641, -1.8795200134037886, -1.7616616179239695, -1.6409277248850165, -1.5175154039234635, -1.3916260965784102, -1.2634652874856758, -1.1332421689725338, -1.0011692996005257, -0.867462257213683, -0.7323392870584859, -0.596020945549923, -0.45872974026508917, -0.3206897667520048, -0.18212634274641015, -0.04326564039366332, 0.09566568292401811, 0.23444085455233044, 0.3728333567178055, 0.51061729626473, 0.6475677733724874, 0.7834612486515393, 0.9180759080188121, 1.0511920247569284, 1.1825923181663094], [1.591891020476107, 1.485183755895119, 1.3760522787289862, 1.2646747204037525, 1.1512328785438055, 1.0359119202300713, 0.9189000797583837, 0.8003883513913399, 0.6805701776051736, 0.5596411333404703, 0.4377986067721631, 0.3152414771198364, 0.19216979002425916, 0.06878443101999387, -0.054713202362900226, -0.1781215293328886, -0.3012391148701239, -0.4238649985216405, -0.5457990224219742, -0.6668421580036972, -0.7867968308646782, -0.9054672432617537, -1.022659693704397, -1.1381828931267775, -1.2518482771221042, -1.3634703137295747, -1.4728668062716066, -1.5798591907469848, -1.6842728272945302, -1.785937285251518, -1.8846866213415954, -1.9803596505380798, -2.072800209160538, -2.1618574097752097, -2.247385887483192, -2.3292460371943906, -2.4073042414999404, -2.4814330887711438, -2.5515115811289437, -2.617425331944446, -2.679066752548151, -2.736335227843103, -2.789137280535339, -2.837386723713541, -2.88100480152887, -2.919920317745331, -2.9540697519508563, -2.9833973632394155, -3.00785528119491, -3.0274035840283493, -3.0420103637407676, -3.051651778205514, -3.0563120900849094, -3.0559836925177377, -3.0506671215356613, -3.0403710551882694, -3.025112299378212, -3.004915760429518, -2.9798144044338932, -2.9498492034413384, -2.9150690685829352, -2.8755307702349433, -2.831298845354536, -2.7824454921384256, -2.7290504521763115, -2.6712008802915284, -2.60899120228132, -2.5425229607889817, -2.4719046495594106, -2.397251536348631, -2.3186854747763364, -2.236334705428563, -2.150333646535148, -2.060822674563634, -1.9679478950877605, -1.8718609043045333, -1.772718541589148, -1.6706826334916607, -1.5659197295932676, -1.4586008306533587, -1.3489011094910537, -1.236999625056853, -1.1230790301610787, -1.0073252733362015, -0.8899272953196613, -0.7710767206526254, -0.6509675448980836, -0.5297958179887745, -0.4077593242218782, -0.2850572594227323, -0.16188990580458817, -0.03845830505506864, 0.08503606981701495, 0.20839164333887616, 0.33140706659824204, 0.453881545898005, 0.5756151705046264, 0.6964092389553178, 0.816066583391363, 0.9343918913881968], [1.4812295086788532, 1.3903043018505947, 1.2971097507931466, 1.2017979736552813, 1.1045245444585547, 1.0054482391593593, 0.9047307764845813, 0.8025365539638774, 0.6990323795894477, 0.5943871995412762, 0.4887718224222981, 0.3823586404535986, 0.27532134808472364, 0.16783465847840873, 0.06007401833251169, -0.047784678495396804, -0.15556537809331772, -0.2630921538613462, -0.3701894936704173, -0.4766825863444897, -0.582397606998617, -0.6871620007671222, -0.7908047644587546, -0.8931567256791189, -0.9940508189647557, -1.0933223584781437, -1.1908093068185375, -1.2863525395098447, -1.3797961047338543, -1.4709874778848242, -1.5597778105299787, -1.6460221733695062, -1.7295797927994894, -1.8103142806916548, -1.8880938570148613, -1.9627915649349532, -2.0342854780418786, -2.102458899365833, -2.1672005518575705, -2.2284047600219665, -2.285971622408371, -2.3398071746761895, -2.389823542969532, -2.4359390873505795, -2.4780785350575507, -2.516173103369751, -2.5501606118791593, -2.579985583985294, -2.6055993374476962, -2.6269600638482147, -2.6440328968334024, -2.6567899690256214, -2.665210457509973, -2.6692806178228006, -2.6689938063862875, -2.664350491352533, -2.655358251839406, -2.6420317655594183, -2.624392784861817, -2.6024701012270017, -2.5762994982712133, -2.5459236933382097, -2.5113922677732705, -2.472761585993327, -2.430094703485332, -2.383461263883036, -2.3329373852901556, -2.2786055360355095, -2.220554400062896, -2.1588787321754475, -2.09367920337074, -2.0250622365191076, -1.9531398326533758, -1.8780293881535615, -1.799853503124948, -1.7187397812822844, -1.6348206216667958, -1.548233002535928, -1.4591182577786252, -1.367621846221048, -1.273893114199304, -1.1780850517867472, -1.0803540430737222, -0.9808596109073786, -0.8797641565082062, -0.7772326943883021, -0.673432583004062, -0.5685332515829149, -0.4627059235700397, -0.35612333714641853, -0.2489594632744634, -0.14138922173139257, -0.033588195593911685, 0.07426765535978763, 0.18200228186292566, 0.2894398325190739, 0.3964049408381367, 0.5027230114808328, 0.6082205052444474, 0.7127252223246998], [1.3395712335746333, 1.2640413611477337, 1.1864482389958928, 1.1069185196107578, 1.025582016522716, 0.9425714924108881, 0.8580224423993306, 0.7720728728931654, 0.6848630763156454, 0.5965354021138127, 0.5072340244065723, 0.4171047066544036, 0.32629456373485777, 0.23495182181217, 0.14322557639297528, 0.05126554896301627, -0.0407781573979058, -0.1327553030238553, -0.22451575689361292, -0.3159097416841954, -0.40678807824706187, -0.4970024291079165, -0.5864055405926933, -0.6748514831844918, -0.7621958897191163, -0.8482961910304878, -0.9330118486611934, -1.0162045842584169, -1.0977386052807883, -1.1774808266476873, -1.2553010879693067, -1.3310723660028159, -1.4046709819878767, -1.4759768035230856, -1.5448734406538165, -1.6112484358514023, -1.6749934475735526, -1.7360044271063995, -1.7941817883995133, -1.8494305706166596, -1.9016605931370023, -1.950786602753714, -1.9967284128297564, -2.0394110341836695, -2.078764797491748, -2.114725467006794, -2.1472343454078446, -2.1762383696097194, -2.2016901973760037, -2.2235482845940977, -2.241776953086193, -2.2563464488454916, -2.2672329906026127, -2.274418808642912, -2.277892173811356, -2.2776474166576, -2.2736849366900365, -2.2660112017236855, -2.2546387373230155, -2.2395861063569056, -2.220877878699141, -2.1985445911238766, -2.1726226974615517, -2.143154509096597, -2.11018812590407, -2.0737773577379413, -2.0339816365991794, -1.9908659196270215, -1.9445005830717346, -1.8949613074219789, -1.8423289538742282, -1.7866894323459257, -1.7281335612477822, -1.6667569192441087, -1.6026596892431786, -1.5359464948722152, -1.4667262297039843, -1.395111879513681, -1.321220337856274, -1.2451722152653173, -1.1670916423846633, -1.0871060673544384, -1.0053460477819733, -0.9219450376372738, -0.8370391694208497, -0.7507670319594792, -0.6632694441926068, -0.5746892253185907, -0.48517096167601803, -0.39486077074055803, -0.303906062622624, -0.21245529945507702, -0.12065775306378512, -0.028663261316534516, 0.06337801645200081, 0.15531584453998715, 0.2470001561028221, 0.33828129810190344, 0.42901027557796034, 0.5190389948502174], [1.1678407127877377, 1.1072189754028043, 1.0447899638916702, 0.980655578907895, 0.9149205047254623, 0.8476920383663638, 0.779079914463491, 0.7091961261446942, 0.6381547422303946, 0.5660717210431008, 0.4930647211327699, 0.41925290922694103, 0.34475676571913194, 0.2696978880129759, 0.1941987920431103, 0.11838271229677844, 0.04237340066255868, -0.033705075565440445, -0.109728536198201, -0.1855728908467036, -0.2611143414702557, -0.3362295844476222, -0.41079601184113645, -0.48469191152528435, -0.5577966658530551, -0.6299909485358564, -0.7011569194155509, -0.7711784168107583, -0.8399411471234397, -0.9073328713962576, -0.9732435885162376, -1.0375657147656758, -1.1001942594272007, -1.1610269961563917, -1.2199646298421998, -1.2769109586828287, -1.3317730312125033, -1.3844612980228446, -1.4348897579311828, -1.4829760983572222, -1.5286418296789406, -1.5718124133484028, -1.6124173835583833, -1.65039046226119, -1.6856696673519682, -1.71819741383988, -1.7479206078420373, -1.7747907332467572, -1.7987639309046846, -1.8198010702185183, -1.8378678130144959, -1.8529346695913698, -1.8649770468553988, -1.8739752884627778, -1.879914706903991, -1.8827856074777074, -1.8825833041151006, -1.8793081270287484, -1.8729654221736411, -1.8635655425211692, -1.851123831160335, -1.8356605962537769, -1.8172010778894756, -1.7957754068822602, -1.7714185555923478, -1.7441702808412074, -1.7140750590179141, -1.6811820134819224, -1.6455448343807553, -1.6072216910134864, -1.5662751368830636, -1.5227720075924536, -1.4767833117512668, -1.428384115070925, -1.3776534178375814, -1.3246740259627598, -1.269532415822212, -1.2123185931036091, -1.1531259458934615, -1.0920510922430693, -1.0291937224623111, -0.9646564363987058, -0.898544575967331, -0.8309660532049632, -0.7620311741290999, -0.6918524586893735, -0.6205444571052494, -0.5482235628897678, -0.4750078228645629, -0.4010167444762347, -0.3263711007286023, -0.2511927330492174, -0.1756043524119466, -0.09972933904021986, -0.023691541017874407, 0.05238492786366322, 0.12837589069189548, 0.2041573101228149, 0.2796054908426431, 0.35459728147128633], [0.9671587272466398, 0.9208606291909147, 0.8730594431047791, 0.8238331931629674, 0.7732622296212424, 0.7214290976635036, 0.6684184026662381, 0.6143166721001707, 0.5592122142945559, 0.5031949742946296, 0.4463563870475191, 0.38878922815622907, 0.33058746244532955, 0.27184609058551246, 0.21266099402738448, 0.15312877849758433, 0.09334661631269281, 0.03341208776832083, -0.026576978137737406, -0.08652266338829051, -0.14632712077484555, -0.20589273361013127, -0.26512227506433383, -0.32391906686499006, -0.3821871371015, -0.43983137687665064, -0.4967576955494897, -0.5528731743161295, -0.6080862178778004, -0.662306703948599, -0.7154461303588922, -0.767417759514248, -0.8181367599741347, -0.8675203449192548, -0.9154879072815278, -0.9619611513161384, -1.006864220400891, -1.050123820854275, -1.091669341570138, -1.1314329692736713, -1.1693497992106145, -1.2053579410889697, -1.2393986201003258, -1.2714162728558833, -1.3013586380805993, -1.3291768419174046, -1.354825477702262, -1.3782626800798476, -1.3994501933388817, -1.4183534338555608, -1.4349415465431812, -1.449187455215795, -1.4610679067837062, -1.4705635092086604, -1.4776587631567815, -1.4823420872975777, -1.48460583720774, -1.48444631784886, -1.4818637895987097, -1.4768624678262363, -1.4694505160109654, -1.4596400324180443, -1.447447030350674, -1.432891412012164, -1.4159969360202758, -1.3967911786268743, -1.3753054887061953, -1.3515749365851928, -1.3256382567994929, -1.2975377848683913, -1.2673193881920874, -1.2350323911839656, -1.2007294947601057, -1.1644666903174565, -1.1263031683410696, -1.086301221789578, -1.0445261444166185, -1.0010461241941564, -0.955932132011692, -0.9092578058329983, -0.8610993304994996, -0.8115353133764587, -0.7606466560449796, -0.7085164222492324, -0.6552297023144584, -0.6008734742570647, -0.5455364618135006, -0.48930898961966296, -0.4322828357772064, -0.37455108204741183, -0.3162079619171472, -0.2573487067848932, -0.19806939051792494, -0.13846677263436025, -0.078638140366035, -0.01868114986002123, 0.04130633322202204, 0.10122639344649276, 0.16098122543171822, 0.22047329349219957], [0.7388350065267892, 0.7061825703830795, 0.6723774575636794, 0.6374748469510778, 0.6015317088343486, 0.5646067119185743, 0.5267601275620182, 0.4880537313973097, 0.4485507024973039, 0.408315520250107, 0.36741385911168045, 0.32591248140775875, 0.28387912836007967, 0.2413824095148005, 0.19849169075358208, 0.1552769810701209, 0.11180881829696698, 0.06815815396912583, 0.02439623751239761, -0.019405500054528346, -0.06317556271438196, -0.10684250615171731, -0.15033505436892192, -0.19358221602750092, -0.2365134003246956, -0.2790585322163581, -0.32114816679793634, -0.36271360265692376, -0.4036869940117409, -0.444001461453972, -0.4835912011132528, -0.522391592066592, -0.5603393018167893, -0.5973723896678251, -0.6334304078284618, -0.6684545000790014, -0.7023874978402187, -0.7351740134875846, -0.7667605307585252, -0.7970954921051017, -0.8261293828495693, -0.8538148120054188, -0.8801065896319993, -0.9049618005964497, -0.9283398746225417, -0.9502026525120977, -0.970514448430893, -0.9892421081573723, -1.0063550631991063, -1.021825380688651, -1.0356278089773783, -1.0477398188528375, -1.0581416403123916, -1.0668162948330857, -1.073749623085089, -1.0789303080434602, -1.0823498934605305, -1.08400279766873, -1.0838863226913493, -1.082000658646348, -1.078348883436034, -1.0729369577231114, -1.0657737152013045, -1.0568708481764317, -1.0462428884814736, -1.0339071837567781, -1.0198838691341232, -1.0041958343708597, -0.986868686487774, -0.9679307079716613, -0.9474128106108259, -0.9253484850388705, -0.9017737460691295, -0.8767270739089676, -0.8502493513499081, -0.8223837970361094, -0.7931758949201066, -0.7626733200209745, -0.7309258606060975, -0.6979853369235456, -0.6639055166177301, -0.6287420269663895, -0.592552264082169, -0.5553952992269862, -0.5173317823921071, -0.4784238433013339, -0.43873498999885996, -0.3983300051873533, -0.35727484048545755, -0.31563650877730787, -0.27348297482979067, -0.23088304435607032, -0.1879062517064698, -0.14462274637003603, -0.10110317847201333, -0.05741858345416073, -0.013640266126138556, 0.030160315722807418, 0.07391166796184478, 0.11754237681587743], [0.48435968104022153, 0.4645858724342071, 0.4440537368438262, 0.42279678814323995, 0.40084972329324886, 0.37824836570668285, 0.35502960677512263, 0.3312313456523803, 0.3068924273930822, 0.28205257954724505, 0.25675234731442664, 0.2310330273632344, 0.2049366004242401, 0.1785056627663293, 0.15178335666833132, 0.12481329999940893, 0.09763951502316459, 0.07030635654166328, 0.042858439496671785, 0.015340566146277546, -0.012202347064246943, -0.039725342817955145, -0.06718349630845744, -0.09453198856908518, -0.12172617962928367, -0.14872168137886543, -0.17547443002113017, -0.20194075799662947, -0.22807746526018402, -0.2538418897947645, -0.2791919772471916, -0.30408634957196057, -0.3284843725711468, -0.35234622222016654, -0.37563294967111327, -0.39830654482757044, -0.4203299983871496, -0.44166736225044456, -0.4622838081978493, -0.48214568473840735, -0.501220572037953, -0.5194773348368451, -0.5368861732709505, -0.5534186715128948, -0.5690478441542113, -0.5837481802526603, -0.5974956849728312, -0.6102679187520612, -0.6220440339277331, -0.6328048087661715, -0.6425326788375985, -0.6512117656859235, -0.6588279027465841, -0.6653686584701237, -0.6708233566137698, -0.6751830936678811, -0.6784407533888334, -0.6805910184146083, -0.6816303789441351, -0.6815571384662136, -0.680371416528669, -0.6780751485432188, -0.6746720826263685, -0.6701677734814945, -0.6645695733321, -0.6578866199210416, -0.6501298215953175, -0.64131183950076, -0.6314470669156989, -0.6205516057573246, -0.6086432402991031, -0.5957414081421368, -0.581867168487864, -0.567043167763869, -0.5512936026589288, -0.5346441806276179, -0.517122077928942, -0.4987558952675024, -0.479575611109583, -0.45961253275036196, -0.43889924521213386, -0.4174695580569341, -0.3953584502003977, -0.3726020128169134, -0.3492373904292947, -0.325302720279085, -0.30083707007650773, -0.2758803742316216, -0.25047336867081516, -0.2246575243449973, -0.19847497953804094, -0.17196847108596458, -0.1451812646191133, -0.11815708394121316, -0.09094003966055819, -0.0635745571898374, -0.036105304232116886, -0.008577117871332973, 0.0189650686136833, 0.046476299092192086], [0.20539355685836602, 0.19764729042663465, 0.18957841135726428, 0.18120009019437022, 0.17252600257339834, 0.16357030689884944, 0.15434762123402468, 0.1448729994404907, 0.13516190660618843, 0.1252301938023157, 0.11509407221020673, 0.10477008666037335, 0.0942750886269863, 0.08362620872180582, 0.07284082873249265, 0.06193655325093772, 0.05093118093791471, 0.03984267547095133, 0.028689136222869394, 0.017488768718814107, 0.00625985492002723, -0.004979276617150141, -0.016210280658323306, -0.027414825235323015, -0.03857462156882008, -0.04967145392045147, -0.06068720932571825, -0.07160390715913856, -0.08240372848337962, -0.09306904513447023, -0.10358244849563647, -0.11392677791275485, -0.12408514870508736, -0.13404097972553952, -0.14377802042547394, -0.1532803773799145, -0.16253254022980546, -0.1715194069990167, -0.1802263087447833, -0.18863903350127043, -0.19674384947728063, -0.2045275274701548, -0.21197736245933774, -0.2190811943443256, -0.22582742779316645, -0.2322050511691094, -0.23820365450450476, -0.2438134464926276, -0.2490252704696756, -0.2538306193608646, -0.2582216495662295, -0.26219119376344824, -0.26573277260680883, -0.2688406053032142, -0.2715096190479668, -0.27373545730492355, -0.2755144869175188, -0.27684380403903364, -0.2777212388724426, -0.2781453592120964, -0.2781154727814594, -0.27763162836308874, -0.2766946157190079, -0.27530596430160625, -0.2734679407571685, -0.27118354522610866, -0.2684565064459479, -0.2652912756650274, -0.2616930193768967, -0.25766761088722845, -0.253221620727031, -0.24836230592780373, -0.24309759817614518, -0.2374360908671389, -0.2313870250776664, -0.22496027448252276, -0.21816632923796586, -0.21101627885901442, -0.20352179411842153, -0.19569510799689338, -0.187548995715622, -0.17909675388375224, -0.17035217879480324, -0.16132954390746068, -0.1520435765475252, -0.14250943386901582, -0.13274267811369622, -0.12275925120937536, -0.11257544874846381, -0.1022078933892665, -0.09167350772340033, -0.0809894866536558, -0.07017326932736445, -0.059242510671108306, -0.04821505257320169, -0.03710889476101453, -0.025942165420661745, -0.014733091607008753, -0.0034999694922950297, 0.007738865498051695], [-0.09624272336167428, -0.09289102945376859, -0.08938771282459435, -0.08573849181320492, -0.08194932291316936, -0.07802639105002296, -0.0739760994858285, -0.06980505936734716, -0.0655200789349113, -0.0611281524095757, -0.056636448576688814, -0.052052299084556, -0.04738318647723627, -0.042636731981057, -0.03782068306476116, -0.03294290079358664, -0.028011346997924846, -0.023034071277519885, -0.018019197862381375, -0.01297491235189785, -0.007909448353775161, -0.0028310740446126914, 0.0022519213259508675, 0.007331240965482877, 0.01239859408131494, 0.017445709413310695, 0.02246434873474623, 0.027446320299276294, 0.032383492212032294, 0.03726780570302157, 0.0420912882811697, 0.04684606674753944, 0.05152438004646953, 0.05611859193366797, 0.0606212034405873, 0.06502486511471695, 0.06932238901583698, 0.0735067604486419, 0.07757114941256527, 0.08150892175016056, 0.0853136499757885, 0.08897912376698525, 0.09249936010133819, 0.09586861302236827, 0.09908138301845026, 0.10213242599946426, 0.10501676185654407, 0.1077296825909273, 0.11026675999865487, 0.1126238528985728, 0.11479711389183223, 0.1167829956418629, 0.11857825666456434, 0.12017996661926555, 0.12158551109181293, 0.12279259586199043, 0.12379925064828867, 0.12460383232392835, 0.12520502759887642, 0.12560185516348282, 0.1257936672902376, 0.1257801508910329, 0.12556132802820613, 0.12513755587852815, 0.1245095261501965, 0.123678263953784, 0.12264512612898804, 0.12141179902990995, 0.11998029577247693, 0.11835295294850812, 0.11653242681177467, 0.11452168894229597, 0.1123240213959309, 0.10994301134719775, 0.10738254523405555, 0.10464680241421087, 0.10174024834329964, 0.09866762728608469, 0.09543395457255777, 0.09204450841159906, 0.0885048212755426, 0.0848206708697199, 0.08099807070171128, 0.07704326026572295, 0.07296269485807194, 0.06876303504043957, 0.06445113576807593, 0.06003403520069739, 0.05551894321434858, 0.05091322963298239, 0.0462244121989519, 0.041460144302076785, 0.03662820248727794, 0.031736473761202255, 0.02679294271854804, 0.02180567850909121, 0.016782821666695646, 0.011732570821814114, 0.006663169319160112, 0.0015828917623759153], [-0.418580562607223, -0.405132919848862, -0.39102399304463464, -0.3762768116936055, -0.3609154470950249, -0.3449649730575981, -0.32845142497239355, -0.3114017573162169, -0.2938437996547618, -0.2758062112174091, -0.25731843411778677, -0.23841064529644562, -0.21911370726412738, -0.19945911772598457, -0.17947895816898107, -0.1592058414964468, -0.13867285879517866, -0.11791352532204336, -0.09696172579822004, -0.07585165910036906, -0.05461778243902593, -0.03329475511532465, -0.011917381947851524, 0.009479443538019439, 0.030860796065589113, 0.0521917756141157, 0.07343756438488036, 0.09456348363303757, 0.11553505027249589, 0.13631803316143465, 0.15687850897657984, 0.17718291758503035, 0.19719811682327393, 0.21689143659396226, 0.2362307321921424, 0.25518443677392266, 0.2737216128818982, 0.2918120029432707, 0.3094260786582046, 0.3265350891978165, 0.3431111081331326, 0.3591270790184131, 0.3745568595544042, 0.3893752642595052, 0.4035581055791222, 0.4170822333661546, 0.4299255726681568, 0.4420671597594965, 0.4534871763596997, 0.4641669819821237, 0.47408914436015825, 0.4832374679012965, 0.49159702012262185, 0.49915415602457225, 0.5058965403631819, 0.5118131677844657, 0.5168943807880639, 0.5211318854908379, 0.5245187651646794, 0.5270494915264403, 0.5287199337615522, 0.5295273652666077, 0.5294704680998987, 0.5285493351326455, 0.526765469897406, 0.524121784133914, 0.5206225930363486, 0.5162736082097982, 0.5110819283474084, 0.505056027643441, 0.4982057419611443, 0.49054225277802854, 0.4820780689347326, 0.4728270062172939, 0.4628041648061276, 0.452025904628544, 0.4405098186550185, 0.4282747041828143, 0.41534053215382016, 0.40172841455669417, 0.3874605699665188, 0.3725602872782079, 0.35705188769287277, 0.3409606850191915, 0.3243129443545838, 0.3071358392136214, 0.2894574071736695, 0.2713065041101501, 0.25271275709611807, 0.2337065160430516, 0.2143188041617634, 0.1945812673243239, 0.17452612240962928, 0.15418610471693306, 0.13359441453318865, 0.1127846629414, 0.09179081695844449, 0.07064714409191897, 0.049388156406516615, 0.028048554191198782], [-0.759516257348503, -0.7370405673622846, -0.7133618322901798, -0.6885187020886989, -0.6625517273150616, -0.6355032929379956, -0.6074175491542491, -0.5783403393237894, -0.5483191251413264, -0.5174029091662815, -0.4856421548376373, -0.4530887041042808, -0.4197956928052271, -0.3858174639378742, -0.35120947895587484, -0.31602822724137614, -0.2803311338993977, -0.2441764660249044, -0.20762323759547208, -0.17073111314489164, -0.1335603103748646, -0.09617150186379497, -0.058625716033101405, -0.020984237532692518, 0.016691492791786722, 0.05433997818665315, 0.09189976636915453, 0.12930954983384257, 0.1665082659226309, 0.2034351964951968, 0.24003006703704344, 0.2762331450434443, 0.31198533751868496, 0.3472282874314514, 0.3819044689689468, 0.4159572814342152, 0.44933114163345156, 0.4819715746024764, 0.5138253025242641, 0.5448403316924462, 0.574966037378775, 0.604153246466069, 0.6323543177117497, 0.6595232195109348, 0.6856156050321882, 0.7105888846032915, 0.7344022952288292, 0.7570169671261873, 0.7783959871713124, 0.7985044591506933, 0.8173095607212035, 0.8347805969848479, 0.8508890505909483, 0.8656086282840059, 0.8789153038212396, 0.8907873571897726, 0.9012054100594329, 0.9101524574133132, 0.9176138953044547, 0.9235775446933501, 0.9280336713273553, 0.9309750016295653, 0.9323967345712133, 0.9322965495082202, 0.9306746099690987, 0.9275335633880313, 0.9228785367835581, 0.9167171283899282, 0.909059395254769, 0.8999178368233293, 0.8893073745360758, 0.8772453274729615, 0.8637513840841022, 0.8488475700530262, 0.8325582123449298, 0.8149098994986397, 0.7959314382270906, 0.7756538063971474, 0.754110102465539, 0.7313354914534242, 0.7073671475477803, 0.682244193423303, 0.6560076363838485, 0.6287003014276804, 0.6003667613457453, 0.57105326396709, 0.5408076566701814, 0.5096793082833311, 0.47771902850171255, 0.4449789849525043, 0.4115126180435329, 0.3773745537343931, 0.3426205143724399, 0.3073072277391793, 0.2714923344555391, 0.2352342938971308, 0.1985922887730851, 0.16162612852422864, 0.12439615169826546, 0.08696312746130364], [-1.1168247271353464, -1.0864478121312393, -1.0542975270314634, -1.020426349602125, -0.9848895665606139, -0.9477451833330921, -0.9090538293742894, -0.8688786592041926, -0.827285249323185, -0.7843414911738567, -0.740117480324205, -0.6946854020531532, -0.6481194135250803, -0.600495522745712, -0.5518914644969746, -0.5023865734532675, -0.45206165468629234, -0.40099885176983374, -0.34928151269969376, -0.29699405384775357, -0.2442218221721184, -0.19105095590831933, -0.13756824396894096, -0.08386098428116373, -0.030016841293464047, 0.023876297115941192, 0.07773046309535214, 0.13145775240638002, 0.18497046790690508, 0.2381812626960027, 0.29100328268717846, 0.3433503083772065, 0.39513689557914944, 0.44627851488986714, 0.4966916896643587, 0.5462941322717079, 0.5950048784102577, 0.6427444192627707, 0.689434831275821, 0.7349999033516537, 0.7793652612448363, 0.8224584889607005, 0.8642092469573921, 0.9045493869585934, 0.9434130631895368, 0.9807368398547225, 1.0164597946818987, 1.0505236183633273, 1.0828727097319883, 1.1134542665173877, 1.1422183715328198, 1.1691180741534206, 1.1941094669519972, 1.2171517573675608, 1.2382073342895696, 1.25724182944921, 1.2742241735174946, 1.2891266468186244, 1.301924924575828, 1.3125981166158296, 1.321128801467135, 1.3275030547964792, 1.3317104721370208, 1.3337441858711823, 1.3336008764404177, 1.3312807777636104, 1.3267876768552551, 1.3201289076440499, 1.311315339001983, 1.3003613570034638, 1.2872848414434408, 1.272107136652854, 1.2548530166590381, 1.2355506447479634, 1.2142315274943034, 1.1909304633343762, 1.1656854857658963, 1.1385378012672471, 1.1095317220376142, 1.078714593667761, 1.0461367178595031, 1.0118512703200366, 0.9759142139651145, 0.9383842075727791, 0.8993225100367246, 0.8587928803755815, 0.816861473661346, 0.7735967330368023, 0.7290692779982271, 0.6833517891256888, 0.6365188894491292, 0.5886470226438485, 0.5398143282542112, 0.49010051414925204, 0.4395867264183524, 0.3883554169193797, 0.33649020869543733, 0.28407575947996033, 0.23119762351290785, 0.1779421118936142], [-1.4881740363474323, -1.451074285037802, -1.4116059968183068, -1.3698335943710762, -1.325825261301894, -1.2796528308465183, -1.231391668619838, -1.181120549599286, -1.1289215295432218, -1.0748798110542541, -1.0190836045060605, -0.9616239840607257, -0.9025947390116422, -0.8420922206945818, -0.7802151852168251, -0.717064632261101, -0.6527436402273921, -0.5873571979817234, -0.5210120334865875, -0.4538164395926829, -0.3858800972763383, -0.31731389661118037, -0.24822975576619477, -0.1787404383256863, -0.10895936922930272, -0.03900044963252913, 0.031022129010102262, 0.10099407133566807, 0.1708011646331027, 0.24032946526853927, 0.30946548467145263, 0.3780963745780115, 0.44611011122928446, 0.5133956782236293, 0.5798432477248223, 0.6453443597301218, 0.7097920991056696, 0.7730812701002616, 0.8351085680526253, 0.8957727480119462, 0.9549747899963896, 1.0126180606199062, 1.0686084708234516, 1.1228546294532205, 1.175267992435176, 1.2257630073023784, 1.2742572528392442, 1.320671573614757, 1.3649302091850544, 1.4069609177545246, 1.4466950940934922, 1.4840678815201114, 1.5190182777636099, 1.55148923453613, 1.581427750650615, 1.608784958532761, 1.633516203985821, 1.6555811190780578, 1.6749436880338853, 1.6915723060211365, 1.705439830738504, 1.7165236267189545, 1.724805602276796, 1.7302722390380918, 1.7329146140062206, 1.732728414126568, 1.7297139433265698, 1.7238761220196246, 1.7152244790736755, 1.703773136257581, 1.6895407851906503, 1.6725506568329842, 1.6528304835663987, 1.6304124539278515, 1.6053331600692349, 1.5776335380293092, 1.547358800915266, 1.5145583651029797, 1.4792857695764163, 1.441598588537857, 1.4015583374315752, 1.3592303725343697, 1.3146837842768333, 1.2679912844695092, 1.219229087617987, 1.1684767865206767, 1.1158172223523222, 1.0613363494452912, 1.0051230949893886, 0.9472692138791574, 0.887869138945641, 0.8270198268170303, 0.7648205996598056, 0.7013729830587048, 0.6367805403001219, 0.5711487033294489, 0.5045846006582488, 0.43719688250220656, 0.3690955434352592, 0.300391742849345], [-1.8711406133234303, -1.828540290294784, -1.7829553060303884, -1.734460067277639, -1.6831337310887333, -1.6290600756154654, -1.5723273633611181, -1.5130281971127086, -1.4512593687887705, -1.3871217014493507, -1.3207198847260972, -1.2521623039411258, -1.1815608631935008, -1.1090308027021543, -1.0346905107033897, -0.9586613302099734, -0.8810673609472399, -0.8020352567895586, -0.7216940190276846, -0.6401747858045699, -0.5576106180632321, -0.47413628235610794, -0.3898880308704138, -0.30500337902854824, -0.21962088102655475, -0.1338799036770526, -0.047920398925737295, 0.03811732458719774, 0.1240928305478528, 0.2098657841978273, 0.29529618139765024, 0.38024457715054893, 0.46457231321355863, 0.5481417444244343, 0.6308164633749573, 0.7124615230638831, 0.7929436571661324, 0.8721314975586756, 0.9498957887480364, 1.026109598849437, 1.1006485267731958, 1.1733909052801987, 1.2442179995750067, 1.313014201112428, 1.3796672163012356, 1.444068249797008, 1.506112182084884, 1.565697741062411, 1.6227276673423998, 1.677108873005952, 1.7287525935465586, 1.7775745327572483, 1.8234950003242822, 1.8664390419028207, 1.9063365614622276, 1.9431224357013306, 1.9767366203468664, 2.007124248161609, 2.0342357185022117, 2.05802677828057, 2.0784585941965616, 2.0954978161242614, 2.109116631548165, 2.1192928109605673, 2.126009744145996, 2.1292564672934775, 2.129027680892373, 2.1253237583825824, 2.11815074554499, 2.1075203506331555, 2.093449925262343, 2.075962436087101, 2.0550864273136082, 2.0308559741079817, 2.0033106269765955, 1.9724953472091973, 1.9384604334901974, 1.9012614397979126, 1.8609590847257858, 1.8176191523735894, 1.771312384970377, 1.7221143674044654, 1.670105403848905, 1.6153703866838418, 1.5579986579297058, 1.4980838634174063, 1.4357237999335837, 1.3710202555903868, 1.3040788436803643, 1.2350088302876459, 1.1639229559368025, 1.090937251570499, 1.0161708491563175, 0.9397457872318857, 0.8617868117057155, 0.7824211722389016, 0.7017784145400183, 0.6199901689122767, 0.5371899353980698, 0.45351286587159123]]}],                        {\"autosize\": false, \"height\": 500, \"margin\": {\"b\": 65, \"l\": 65, \"r\": 50, \"t\": 90}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"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\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"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\": [[0.0, \"#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\"], [1.0, \"#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\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#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\"], [1.0, \"#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\": \"Loss function\"}, \"width\": 500},                        {\"responsive\": true}                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('975eda48-1bb4-4ee2-b7a1-de06351ec1a0');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
       "}}\n",
       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
       "}}\n",
       "\n",
       "                        })                };                });            </script>        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cs = 'algae'\n",
    "fig = go.Figure(data=[go.Surface(z=Z, x=X, y=Y,\n",
    "                                 contours = {\"x\": {\"show\": True},\n",
    "                                             \"y\": {\"show\": True}\n",
    "                                            },\n",
    "                                 showscale=False,\n",
    "                                 colorscale=cs\n",
    "                                )])\n",
    "fig.update_layout(title='Loss function', autosize=False,\n",
    "                  width=500, height=500,\n",
    "                  margin=dict(l=65, r=50, b=65, t=90))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_old = np.array([0,0])\n",
    "x_new = np.array([1,1]) \n",
    "n_k = 0.01 # step size\n",
    "precision = 0.0001\n",
    "\n",
    "x_list, y_list = [x_new], [f2(x_new[0],x_new[1])]\n",
    "while np.sum(np.abs(x_new - x_old)) > precision:\n",
    "    x_old = x_new\n",
    "    s_k = -f2_prime(x_old[0],x_old[1])\n",
    "    x_new = x_old + n_k * s_k\n",
    "    x_list.append(x_new)\n",
    "    y_list.append(f2(x_new[0],x_new[1]))\n",
    "x_list = np.array(x_list)\n",
    "y_list = np.array(y_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "colorscale": [
          [
           0,
           "rgb(214, 249, 207)"
          ],
          [
           0.09090909090909091,
           "rgb(186, 228, 174)"
          ],
          [
           0.18181818181818182,
           "rgb(156, 209, 143)"
          ],
          [
           0.2727272727272727,
           "rgb(124, 191, 115)"
          ],
          [
           0.36363636363636365,
           "rgb(85, 174, 91)"
          ],
          [
           0.45454545454545453,
           "rgb(37, 157, 81)"
          ],
          [
           0.5454545454545454,
           "rgb(7, 138, 78)"
          ],
          [
           0.6363636363636364,
           "rgb(13, 117, 71)"
          ],
          [
           0.7272727272727273,
           "rgb(23, 95, 61)"
          ],
          [
           0.8181818181818182,
           "rgb(25, 75, 49)"
          ],
          [
           0.9090909090909091,
           "rgb(23, 55, 35)"
          ],
          [
           1,
           "rgb(17, 36, 20)"
          ]
         ],
         "contours": {
          "x": {
           "show": true
          },
          "y": {
           "show": true
          }
         },
         "opacity": 0.75,
         "showscale": false,
         "type": "surface",
         "x": [
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ],
          [
           -2,
           -1.9595959595959596,
           -1.9191919191919191,
           -1.878787878787879,
           -1.8383838383838385,
           -1.797979797979798,
           -1.7575757575757576,
           -1.7171717171717171,
           -1.6767676767676767,
           -1.6363636363636362,
           -1.595959595959596,
           -1.5555555555555556,
           -1.5151515151515151,
           -1.4747474747474747,
           -1.4343434343434343,
           -1.393939393939394,
           -1.3535353535353534,
           -1.3131313131313131,
           -1.2727272727272727,
           -1.2323232323232323,
           -1.1919191919191918,
           -1.1515151515151514,
           -1.1111111111111112,
           -1.0707070707070705,
           -1.0303030303030303,
           -0.9898989898989898,
           -0.9494949494949494,
           -0.909090909090909,
           -0.8686868686868685,
           -0.8282828282828283,
           -0.7878787878787878,
           -0.7474747474747474,
           -0.707070707070707,
           -0.6666666666666665,
           -0.6262626262626261,
           -0.5858585858585856,
           -0.5454545454545454,
           -0.505050505050505,
           -0.46464646464646453,
           -0.4242424242424241,
           -0.38383838383838365,
           -0.3434343434343432,
           -0.303030303030303,
           -0.26262626262626254,
           -0.2222222222222221,
           -0.18181818181818166,
           -0.14141414141414121,
           -0.10101010101010077,
           -0.06060606060606055,
           -0.02020202020202011,
           0.020202020202020332,
           0.060606060606060996,
           0.10101010101010122,
           0.14141414141414144,
           0.1818181818181821,
           0.22222222222222232,
           0.262626262626263,
           0.3030303030303032,
           0.3434343434343434,
           0.3838383838383841,
           0.4242424242424243,
           0.464646464646465,
           0.5050505050505052,
           0.5454545454545459,
           0.5858585858585861,
           0.6262626262626263,
           0.666666666666667,
           0.7070707070707072,
           0.7474747474747478,
           0.7878787878787881,
           0.8282828282828287,
           0.868686868686869,
           0.9090909090909092,
           0.9494949494949498,
           0.9898989898989901,
           1.0303030303030307,
           1.070707070707071,
           1.1111111111111112,
           1.1515151515151518,
           1.191919191919192,
           1.2323232323232327,
           1.272727272727273,
           1.3131313131313136,
           1.3535353535353538,
           1.393939393939394,
           1.4343434343434347,
           1.474747474747475,
           1.5151515151515156,
           1.5555555555555558,
           1.5959595959595965,
           1.6363636363636367,
           1.676767676767677,
           1.7171717171717176,
           1.7575757575757578,
           1.7979797979797985,
           1.8383838383838387,
           1.878787878787879,
           1.9191919191919196,
           1.9595959595959598,
           2
          ]
         ],
         "y": [
          [
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2,
           -2
          ],
          [
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596,
           -1.9595959595959596
          ],
          [
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191,
           -1.9191919191919191
          ],
          [
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879,
           -1.878787878787879
          ],
          [
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385,
           -1.8383838383838385
          ],
          [
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798,
           -1.797979797979798
          ],
          [
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576,
           -1.7575757575757576
          ],
          [
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171,
           -1.7171717171717171
          ],
          [
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767,
           -1.6767676767676767
          ],
          [
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362,
           -1.6363636363636362
          ],
          [
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596,
           -1.595959595959596
          ],
          [
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556,
           -1.5555555555555556
          ],
          [
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151,
           -1.5151515151515151
          ],
          [
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747,
           -1.4747474747474747
          ],
          [
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343,
           -1.4343434343434343
          ],
          [
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394,
           -1.393939393939394
          ],
          [
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534,
           -1.3535353535353534
          ],
          [
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131,
           -1.3131313131313131
          ],
          [
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727,
           -1.2727272727272727
          ],
          [
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323,
           -1.2323232323232323
          ],
          [
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918,
           -1.1919191919191918
          ],
          [
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514,
           -1.1515151515151514
          ],
          [
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112,
           -1.1111111111111112
          ],
          [
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705,
           -1.0707070707070705
          ],
          [
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303,
           -1.0303030303030303
          ],
          [
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898,
           -0.9898989898989898
          ],
          [
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494,
           -0.9494949494949494
          ],
          [
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909,
           -0.909090909090909
          ],
          [
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685,
           -0.8686868686868685
          ],
          [
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283,
           -0.8282828282828283
          ],
          [
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878,
           -0.7878787878787878
          ],
          [
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474,
           -0.7474747474747474
          ],
          [
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707,
           -0.707070707070707
          ],
          [
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665,
           -0.6666666666666665
          ],
          [
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261,
           -0.6262626262626261
          ],
          [
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856,
           -0.5858585858585856
          ],
          [
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454,
           -0.5454545454545454
          ],
          [
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505,
           -0.505050505050505
          ],
          [
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453,
           -0.46464646464646453
          ],
          [
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241,
           -0.4242424242424241
          ],
          [
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365,
           -0.38383838383838365
          ],
          [
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432,
           -0.3434343434343432
          ],
          [
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303,
           -0.303030303030303
          ],
          [
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254,
           -0.26262626262626254
          ],
          [
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221,
           -0.2222222222222221
          ],
          [
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166,
           -0.18181818181818166
          ],
          [
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121,
           -0.14141414141414121
          ],
          [
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077,
           -0.10101010101010077
          ],
          [
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055,
           -0.06060606060606055
          ],
          [
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011,
           -0.02020202020202011
          ],
          [
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332,
           0.020202020202020332
          ],
          [
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996,
           0.060606060606060996
          ],
          [
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122,
           0.10101010101010122
          ],
          [
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144,
           0.14141414141414144
          ],
          [
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821,
           0.1818181818181821
          ],
          [
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232,
           0.22222222222222232
          ],
          [
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263,
           0.262626262626263
          ],
          [
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032,
           0.3030303030303032
          ],
          [
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434,
           0.3434343434343434
          ],
          [
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841,
           0.3838383838383841
          ],
          [
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243,
           0.4242424242424243
          ],
          [
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465,
           0.464646464646465
          ],
          [
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052,
           0.5050505050505052
          ],
          [
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459,
           0.5454545454545459
          ],
          [
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861,
           0.5858585858585861
          ],
          [
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263,
           0.6262626262626263
          ],
          [
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667,
           0.666666666666667
          ],
          [
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072,
           0.7070707070707072
          ],
          [
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478,
           0.7474747474747478
          ],
          [
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881,
           0.7878787878787881
          ],
          [
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287,
           0.8282828282828287
          ],
          [
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869,
           0.868686868686869
          ],
          [
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092,
           0.9090909090909092
          ],
          [
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498,
           0.9494949494949498
          ],
          [
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901,
           0.9898989898989901
          ],
          [
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307,
           1.0303030303030307
          ],
          [
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071,
           1.070707070707071
          ],
          [
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112,
           1.1111111111111112
          ],
          [
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518,
           1.1515151515151518
          ],
          [
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192,
           1.191919191919192
          ],
          [
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327,
           1.2323232323232327
          ],
          [
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273,
           1.272727272727273
          ],
          [
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136,
           1.3131313131313136
          ],
          [
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538,
           1.3535353535353538
          ],
          [
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394,
           1.393939393939394
          ],
          [
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347,
           1.4343434343434347
          ],
          [
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475,
           1.474747474747475
          ],
          [
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156,
           1.5151515151515156
          ],
          [
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558,
           1.5555555555555558
          ],
          [
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965,
           1.5959595959595965
          ],
          [
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367,
           1.6363636363636367
          ],
          [
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677,
           1.676767676767677
          ],
          [
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176,
           1.7171717171717176
          ],
          [
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578,
           1.7575757575757578
          ],
          [
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985,
           1.7979797979797985
          ],
          [
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387,
           1.8383838383838387
          ],
          [
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879,
           1.878787878787879
          ],
          [
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196,
           1.9191919191919196
          ],
          [
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598,
           1.9595959595959598
          ],
          [
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2,
           2
          ]
         ],
         "z": [
          [
           1.2782690298103492,
           1.0403307992322688,
           0.8006944737173178,
           0.5597512031106624,
           0.3178942705374328,
           0.07551845046067385,
           -0.16698063569497235,
           -0.4092071653020328,
           -0.6507657606173796,
           -0.8912621341432607,
           -1.130303732208744,
           -1.36750037572111,
           -1.6024648970412811,
           -1.8348137719438,
           -2.0641677456297605,
           -2.290152451770913,
           -2.512399023574513,
           -2.730544695871444,
           -2.944233397244906,
           -3.153116331233097,
           -3.356852545657283,
           -3.555109489145895,
           -3.747563553946294,
           -3.9339006041381968,
           -4.113816488386546,
           -4.287017536396926,
           -4.453221038263113,
           -4.612155705924409,
           -4.763562115979482,
           -4.907193133133944,
           -5.042814313590509,
           -5.1702042877232515,
           -5.2891551214113655,
           -5.399472655442634,
           -5.500976822432602,
           -5.593501940742157,
           -5.6768969849137685,
           -5.751025832184972,
           -5.8157674846767105,
           -5.871016266893856,
           -5.916681998215575,
           -5.95269014009393,
           -5.97898191772051,
           -5.995514415962456,
           -6.002260649411296,
           -5.9992096064302824,
           -5.986366267128281,
           -5.963751595230923,
           -5.9314025038622615,
           -5.889371795292791,
           -5.837728074752187,
           -5.7765556384474115,
           -5.705954335969051,
           -5.626039407310344,
           -5.536941294765061,
           -5.438805430011201,
           -5.331791996728016,
           -5.2160756691339065,
           -5.091845326871917,
           -4.959303746708199,
           -4.8186672715467305,
           -4.670165457300484,
           -4.514040698195482,
           -4.350547831119332,
           -4.179953719660043,
           -4.0025368185140815,
           -3.818586718974693,
           -3.6284036762423395,
           -3.432298119328808,
           -3.230590144355004,
           -3.0236089920694265,
           -2.8116925104402313,
           -2.595186603197998,
           -2.374444665229392,
           -2.149827005743276,
           -1.9217002601507902,
           -1.6904367916194492,
           -1.4564140832779677,
           -1.220014122063998,
           -0.9816227752204614,
           -0.7416291604581455,
           -0.500425010812751,
           -0.25840403523297883,
           -0.015961275943426223,
           0.22650753636876608,
           0.46860662849103774,
           0.7099408306919379,
           0.9501162217426078,
           1.188740771900382,
           1.425424982805004,
           1.6597825232428942,
           1.8914308597418907,
           2.1199918809669978,
           2.3450925148980315,
           2.5663653377818605,
           2.7834491738650735,
           2.9959896849283196,
           3.203639948659988,
           3.4060610249251275,
           3.6029225090053707
          ],
          [
           1.4313901528325963,
           1.2084251911950812,
           0.9834877601273888,
           0.7569450169924328,
           0.5291667394468882,
           0.3005247218662692,
           0.07139216847820862,
           -0.15785691580552008,
           -0.3868483358639083,
           -0.6152083171520975,
           -0.8425641158002541,
           -1.0685446270301306,
           -1.2927809908961843,
           -1.5149071943625385,
           -1.7345606687330286,
           -1.9513828814591916,
           -2.165019921360178,
           -2.3751230762993707,
           -2.581349402374806,
           -2.7833622836942933,
           -2.9808319818215505,
           -3.173436173996524,
           -3.3608604792513592,
           -3.542798971563263,
           -3.718954679206656,
           -3.8890400694895613,
           -4.052777518082981,
           -4.2098997621772,
           -4.360150336725362,
           -4.50328399306225,
           -4.639067099214935,
           -4.767278021251935,
           -4.887707485048403,
           -5.000158917876829,
           -5.104448769265693,
           -5.200406810602379,
           -5.287876412991292,
           -5.366714802913603,
           -5.436793295271401,
           -5.497997503435794,
           -5.5502275259561396,
           -5.593398109625603,
           -5.627438788636956,
           -5.652293999601408,
           -5.667923172242727,
           -5.674300795618668,
           -5.671416459761586,
           -5.659274872670248,
           -5.637895852625123,
           -5.607314295839721,
           -5.5675801195007555,
           -5.518758180290066,
           -5.460928168521395,
           -5.394184478064702,
           -5.318636052270431,
           -5.234406206145142,
           -5.141632425068808,
           -5.040466140382351,
           -4.931072482211625,
           -4.8136300099313925,
           -4.6883304207092396,
           -4.555378236605072,
           -4.414990470737067,
           -4.267396273058869,
           -4.112836556326281,
           -3.9515636028639456,
           -3.783840652773888,
           -3.6099414742580653,
           -3.4301499167562706,
           -3.244759447628806,
           -3.0540726731401384,
           -2.858400844525481,
           -2.6580633499464685,
           -2.4533871931652316,
           -2.2447064597877993,
           -2.032361771948044,
           -1.816699732322311,
           -1.5980723583821885,
           -1.3768365078089273,
           -1.153353296007356,
           -0.9279875066700352,
           -0.7011069963538508,
           -0.473082094040814,
           -0.24428499666327674,
           -0.015089161580106314,
           0.21413130300447314,
           0.44300224868436544,
           0.6711500975607492,
           0.8982024520199818,
           1.1237887025849638,
           1.3475406328477977,
           1.569093020496342,
           1.7880842334535716,
           2.004156820156748,
           2.2169580930129094,
           2.42614070407823,
           2.631363212021753,
           2.832290639447902,
           3.0285950196681415,
           3.2199559320293685
          ],
          [
           1.553839783788327,
           1.3463231111174334,
           1.136608883149636,
           0.9250394089552452,
           0.7119600258569583,
           0.4977185357480396,
           0.282664637387664,
           0.06714935560007529,
           -0.14847553169072736,
           -0.3638580676555847,
           -0.5786466910467838,
           -0.7924908100389692,
           -1.0050413744876945,
           -1.2159514456715592,
           -1.4248767625879317,
           -1.6314763038779283,
           -1.835412844463446,
           -2.036353505987649,
           -2.233970300160473,
           -2.42794066412222,
           -2.6179479869514504,
           -2.80368212645772,
           -2.9848399154156247,
           -3.161125656413892,
           -3.332251604511721,
           -3.4979384369146294,
           -3.6579157089030905,
           -3.8119222952698344,
           -3.9597068165452303,
           -4.101028049315038,
           -4.235655319960813,
           -4.36336888118024,
           -4.483960270672829,
           -4.597232651405512,
           -4.70300113290273,
           -4.801093073036574,
           -4.891348359824379,
           -4.9736196727738236,
           -5.047772723348924,
           -5.1136864741644255,
           -5.17125333655083,
           -5.220379346167542,
           -5.260984316377522,
           -5.29300196913308,
           -5.316380043159172,
           -5.331080379257621,
           -5.337078982593017,
           -5.334366061858633,
           -5.32294604525843,
           -5.302837573279049,
           -5.274073468263618,
           -5.236700680836998,
           -5.190780213269964,
           -5.136387019907355,
           -5.073609884822775,
           -5.002551276899499,
           -4.9233271825741785,
           -4.836066916516292,
           -4.740912910552417,
           -4.638020481179837,
           -4.527557576048947,
           -4.4097044998282655,
           -4.284653619899576,
           -4.152609052363457,
           -4.013786328867864,
           -3.868412044803482,
           -3.7167234894401258,
           -3.5589682586079294,
           -3.3954038505554656,
           -3.226297245644532,
           -3.051924470567601,
           -2.8725701477992835,
           -2.6885270310171805,
           -2.5000955272504815,
           -2.3075832065362696,
           -2.1113042998838836,
           -1.9115791863668345,
           -1.7087338701794406,
           -1.5030994485117892,
           -1.2950115711115768,
           -1.0848098924149645,
           -0.8728375171407454,
           -0.6594404402527037,
           -0.44496698220437647,
           -0.22976722038794417,
           -0.014192417715377381,
           0.20140555073549304,
           0.4166747720741846,
           0.6312638700124094,
           0.8448225784031052,
           1.0570023129673976,
           1.2674567402763053,
           1.475842343058475,
           1.6818189809111992,
           1.8850504454994832,
           2.0852050093369465,
           2.2819559672528023,
           2.4749821696610588,
           2.663968546761575,
           2.848606622817283
          ],
          [
           1.6448187682206368,
           1.4531245829320731,
           1.2590585141053667,
           1.0629373288775956,
           0.8650811488792054,
           0.6658129277108502,
           0.4654579237977341,
           0.2643431694818448,
           0.06279693721872537,
           -0.13885179624999022,
           -0.3402738868736028,
           -0.5411405605424573,
           -0.7411239497342259,
           -0.9398976286803977,
           -1.1371371461794428,
           -1.3325205551869526,
           -1.525728938318351,
           -1.7164469284063877,
           -1.904363223263743,
           -2.089171093810501,
           -2.2705688847371177,
           -2.448260506885648,
           -2.621955920545529,
           -2.7913716088750897,
           -2.9562310406759886,
           -3.11626512176526,
           -3.2712126342081573,
           -3.4208206626949025,
           -3.564845007365342,
           -3.703050582407677,
           -3.8352117997806827,
           -3.9611129374330303,
           -4.080548491418711,
           -4.193323511333819,
           -4.299253918527156,
           -4.39816680656526,
           -4.489900723461422,
           -4.57430593520802,
           -4.651244670182014,
           -4.72059134402465,
           -4.782232764628355,
           -4.836068316896173,
           -4.882010126972215,
           -4.919983205675022,
           -4.9499255708997385,
           -4.971788348789294,
           -4.985535853509465,
           -4.991145645497588,
           -4.988608568089861,
           -4.977928762467437,
           -4.9591236608969265,
           -4.932223958276325,
           -4.897273562032828,
           -4.8543295204542884,
           -4.803461929571346,
           -4.744753818742154,
           -4.6783010151265225,
           -4.6042119872706495,
           -4.522607668057788,
           -4.433621257313778,
           -4.3373980043897395,
           -4.234094971076712,
           -4.123880775239283,
           -4.006935315586652,
           -3.8834494780303754,
           -3.753624824108071,
           -3.617673261981712,
           -3.4758167005474667,
           -3.3282866872217034,
           -3.175324029994397,
           -3.017178404366796,
           -2.8541079458150094,
           -2.686378828444643,
           -2.514264830524284,
           -2.3380468876069815,
           -2.1580126339691335,
           -1.9744559331153049,
           -1.7876763981152801,
           -1.5979789025563118,
           -1.4056730829088289,
           -1.2110728331178255,
           -1.0144957922449644,
           -0.816262825997633,
           -0.6166975029912702,
           -0.41612556659983113,
           -0.2148744032564771,
           -0.013272508072342148,
           0.18835105135433405,
           0.38966717206353696,
           0.5903472529165432,
           0.7900637309598251,
           0.9884906160944467,
           1.1853040231780776,
           1.3801827006911624,
           1.5728085551043898,
           1.7628671700914014,
           1.9500483197393796,
           2.1340464749197787,
           2.3145613019926277,
           2.4912981530304434
          ],
          [
           1.7037333414907416,
           1.5281325782238229,
           1.3500374985376764,
           1.1697388006922371,
           0.9875307798349362,
           0.8037108476332024,
           0.6185790468199812,
           0.4324375614446563,
           0.24559022362879812,
           0.05834201763178015,
           -0.12900141796414832,
           -0.31613428913686104,
           -0.5027511455610432,
           -0.6885473791838859,
           -0.8732197214259734,
           -1.0564667381957893,
           -1.2379893219098603,
           -1.4174911797154102,
           -1.5946793171186444,
           -1.7692645162292369,
           -1.9409618078403876,
           -2.109490936573928,
           -2.274576818331194,
           -2.435949989303016,
           -2.5933470458058907,
           -2.7465110742264542,
           -2.895192070372423,
           -3.039147347545533,
           -3.178141932670407,
           -3.3119489498327432,
           -3.4403499906007946,
           -3.5631354705256673,
           -3.6801049712385767,
           -3.7910675675866075,
           -3.8958421392730385,
           -3.9942576664935645,
           -4.086153509085845,
           -4.171379668736706,
           -4.249797033819054,
           -4.3212776064588425,
           -4.385704711461443,
           -4.442973186756398,
           -4.492989555049736,
           -4.535672176403652,
           -4.570951381494432,
           -4.598769585331235,
           -4.619081381250028,
           -4.63185361502926,
           -4.637065439006308,
           -4.634708346106388,
           -4.6247861837283555,
           -4.607315147464711,
           -4.582323754666135,
           -4.549852797893615,
           -4.509955278334208,
           -4.462696319289086,
           -4.408153059875093,
           -4.3464145291133045,
           -4.277581500610132,
           -4.201766328068135,
           -4.11909276189511,
           -4.029695747210651,
           -3.9337212035800757,
           -3.8313257868350976,
           -3.722676633370081,
           -3.607951087331265,
           -3.487336411144221,
           -3.361029479852055,
           -3.2292364597632894,
           -3.0921724719339334,
           -2.950061241033034,
           -2.8031347301648744,
           -2.651632762243838,
           -2.4958026285400097,
           -2.335898685034444,
           -2.172181937242936,
           -2.004919614186017,
           -1.83438473220053,
           -1.660855649304783,
           -1.4846156108446684,
           -1.305952287162349,
           -1.1251573040422183,
           -0.942525766700494,
           -0.7583557780954902,
           -0.5729479523447605,
           -0.3866049240433709,
           -0.19963085428423177,
           -0.012330934186765674,
           0.17498911325570177,
           0.36202353219669003,
           0.5484670330109527,
           0.7340152906078821,
           0.9183654411705025,
           1.1012165765093038,
           1.2822702352239892,
           1.461230889871361,
           1.637806429344283,
           1.81170863567423,
           1.9826536544792015,
           2.15036245828916
          ],
          [
           1.7301990039195645,
           1.5708575653111794,
           1.4089520718077813,
           1.244746795983986,
           1.0785097642672459,
           0.9105123194478439,
           0.741028677775712,
           0.5703354813670085,
           0.39871134665104524,
           0.22643640959459166,
           0.05379186844592265,
           -0.11894047525509155,
           -0.29147867665158866,
           -0.4635411077782896,
           -0.6348469172527906,
           -0.8051164886992765,
           -0.9740718971563909,
           -1.141437362724247,
           -1.3069397007101555,
           -1.4703087675382593,
           -1.631277901695289,
           -1.7895843589926637,
           -1.9449697414344622,
           -2.0971804189912957,
           -2.245967943591556,
           -2.391089454654382,
           -2.5323080755023253,
           -2.6693933000067274,
           -2.8021213688346727,
           -2.930275634683372,
           -3.0536469159058575,
           -3.1720338379507336,
           -3.2852431620586886,
           -3.3930901006792444,
           -3.495398619092904,
           -3.5920017227463528,
           -3.6827417298317253,
           -3.7674705286650085,
           -3.846049819443477,
           -3.9183513399875283,
           -3.9842570750984834,
           -4.04365944919059,
           -4.0964615018828265,
           -4.142577046263874,
           -4.181930809571952,
           -4.2144585560598635,
           -4.2401071918447215,
           -4.2588348515712005,
           -4.270610966746872,
           -4.275416315638061,
           -4.273243054644802,
           -4.264094731103664,
           -4.247986277497564,
           -4.224943987082,
           -4.195005470967515,
           -4.158219596728412,
           -4.114646408637954,
           -4.064357029660236,
           -4.0074335453587,
           -3.94396886991079,
           -3.8740665944474535,
           -3.7978408179650085,
           -3.715415961085446,
           -3.6269265629690364,
           -3.5325170617108737,
           -3.4323415585797097,
           -3.3265635664839266,
           -3.2153557430752486,
           -3.0988996089257985,
           -2.9773852512385215,
           -2.85101101357462,
           -2.7199831721044108,
           -2.584515598910076,
           -2.4448294128898747,
           -2.301152618833639,
           -2.1537197352586617,
           -2.0027714116134794,
           -1.8485540354743324,
           -1.691319330375495,
           -1.5313239449299183,
           -1.3688290339108202,
           -1.2040998319780578,
           -1.0374052207450175,
           -0.869017289892744,
           -0.6992108930476224,
           -0.5282631991475908,
           -0.3564532400291611,
           -0.18406145497365944,
           -0.011369232956187858,
           0.1613415466555903,
           0.3337889742031175,
           0.5056915698880315,
           0.67676874322163,
           0.8467412510227392,
           1.015331653216414,
           1.1822647656895025,
           1.347268109463883,
           1.5100723554541897,
           1.670411764084105,
           1.8280246190436111
          ],
          [
           1.7240430301838878,
           1.5810207041226345,
           1.4354177342366041,
           1.2874717830713425,
           1.1374243375373507,
           0.9855203147395928,
           0.8320076622080217,
           0.67713695318165,
           0.521160977606776,
           0.3643343295169439,
           0.20691299146816977,
           0.049153916707720846,
           -0.10868539024151769,
           -0.2663472938965201,
           -0.42357444834333613,
           -0.5801102172936812,
           -0.7356990929832081,
           -0.8900871132277342,
           -1.0430222759566843,
           -1.194254950547096,
           -1.3435382852868,
           -1.4906286103016861,
           -1.6352858352893653,
           -1.7772738414100315,
           -1.916360866694824,
           -2.0523198843426593,
           -2.1849289732879904,
           -2.3139716804346553,
           -2.4392373739645747,
           -2.560521587144568,
           -2.677626352070125,
           -2.7903605228013624,
           -2.8985400873637515,
           -3.0019884681043107,
           -3.1005368099130157,
           -3.1940242558389897,
           -3.282298209651593,
           -3.365214584917799,
           -3.4426380401893577,
           -3.5144421999158313,
           -3.5805098607229064,
           -3.6407331827192757,
           -3.695013865519864,
           -3.7432633086980687,
           -3.785402756405042,
           -3.821363425920086,
           -3.8510866199222415,
           -3.874523822299829,
           -3.891636777341563,
           -3.9023975521799996,
           -3.9067885823853667,
           -3.9048027006353356,
           -3.8964431484140105,
           -3.881723570720953,
           -3.860667993798944,
           -3.8333107859167974,
           -3.799696601271262,
           -3.7598803070995626,
           -3.713926894121562,
           -3.661911370457722,
           -3.6039186391960225,
           -3.540043359807663,
           -3.47038979363779,
           -3.395071633723394,
           -3.314211819216244,
           -3.22794233471365,
           -3.136403994824719,
           -3.0397462143236935,
           -2.9381267642655042,
           -2.8317115144617153,
           -2.720674162737129,
           -2.605195951408999,
           -2.48546537145166,
           -2.361677854829411,
           -2.234035455499877,
           -2.1027465196085267,
           -1.9680253454126744,
           -1.8300918334900582,
           -1.6891711278029575,
           -1.5454932482037207,
           -1.3992927149815322,
           -1.2508081660633077,
           -1.1002819674934887,
           -0.9479598178285835,
           -0.7940903470921459,
           -0.6389247109448446,
           -0.48271618073202305,
           -0.32571973007787935,
           -0.1681916187011172,
           -0.010388974131303463,
           0.14743062799122786,
           0.3050095843469318,
           0.46209068441379486,
           0.6184175303028887,
           0.7737349552675417,
           0.9277894402029379,
           1.0803295274563105,
           1.231106231272331,
           1.3798734442037048,
           1.5263883388235744
          ],
          [
           1.6853055965897483,
           1.5585556660166562,
           1.4292617605009275,
           1.2976349218827976,
           1.1638899999661736,
           1.0282453018269493,
           0.8909222354781265,
           0.7521449484733989,
           0.6121399620390857,
           0.4711358013315854,
           0.3293626224239006,
           0.18705183663007308,
           0.04443573278072943,
           -0.09825290193370773,
           -0.24078116193326515,
           -0.3829164034119108,
           -0.5244266240737536,
           -0.6650808418221388,
           -0.8046494717835033,
           -0.9429047010505833,
           -1.0796208605333288,
           -1.2145747933105229,
           -1.3475462188808756,
           -1.478318092719054,
           -1.606676960549727,
           -1.7324133067613978,
           -1.8553218963912586,
           -1.9752021101229325,
           -2.09185827175024,
           -2.2050999675724947,
           -2.314742357200025,
           -2.4206064752625585,
           -2.522519523528019,
           -2.6203151529549396,
           -2.7138337352180786,
           -2.802922623264056,
           -2.8874364004717026,
           -2.967237118010434,
           -3.0421945200092253,
           -3.1121862561686218,
           -3.1770980814687872,
           -3.2368240426475787,
           -3.2912666511442894,
           -3.3403370422267518,
           -3.3839551200420805,
           -3.422049688354281,
           -3.454558566755332,
           -3.4814286921600517,
           -3.502616205419086,
           -3.5180865229086304,
           -3.5278143929800576,
           -3.531783937177276,
           -3.529988676154575,
           -3.522431540252625,
           -3.5091248647153908,
           -3.490090369555751,
           -3.46535912410269,
           -3.434971496287948,
           -3.3989770867548694,
           -3.357434647897048,
           -3.310411987958884,
           -3.2579858603545953,
           -3.200241838386359,
           -3.1372741755660485,
           -3.069185651768588,
           -2.996087405468008,
           -2.9180987523300894,
           -2.835346990457634,
           -2.7479671926062967,
           -2.65610198571016,
           -2.5599013180768346,
           -2.4595222146321927,
           -2.355128520614169,
           -2.246890634133999,
           -2.134985228041461,
           -2.019594961548063,
           -1.9009081820789122,
           -1.7791186178399223,
           -1.6544250616021525,
           -1.5270310462194465,
           -1.3971445124089947,
           -1.26497746933711,
           -1.1307456485642007,
           -0.9946681519138334,
           -0.8569670938406162,
           -0.7178672388806842,
           -0.5775956347765465,
           -0.43638124187513316,
           -0.29445455940397913,
           -0.15204724923552337,
           -0.00939175775370149,
           0.13327906356003716,
           0.27573233820190524,
           0.417735544761789,
           0.5590568964597065,
           0.6994657194830873,
           0.8387328295074381,
           0.9766309057857665,
           1.1129348621961324,
           1.2474222146417158
          ],
          [
           1.614239518866062,
           1.5036090666684947,
           1.390524326906788,
           1.2751698837768184,
           1.157734026230497,
           1.0384084406384044,
           0.9173878979069494,
           0.7948699355607554,
           0.6710545353091906,
           0.5461437966233342,
           0.42034160685621114,
           0.2938533084447137,
           0.16688536373646023,
           0.039645017988644504,
           -0.08766003891101803,
           -0.2148220114490984,
           -0.34163333766368265,
           -0.4678870279403684,
           -0.5933770028740479,
           -0.717898429644988,
           -0.8412480563601479,
           -0.9632245438140101,
           -1.0836287941274052,
           -1.2022642757278907,
           -1.3189373441412373,
           -1.4334575580704185,
           -1.5456379902461617,
           -1.655295532541671,
           -1.762251194853508,
           -1.8663303972607732,
           -1.9673632549856923,
           -2.065184855690485,
           -2.159635528657919,
           -2.2505611054161356,
           -2.3378131713823462,
           -2.421249308114685,
           -2.5007333257767677,
           -2.5761354854355023,
           -2.647332710829335,
           -2.7142087892612565,
           -2.776654561288655,
           -2.834568098900369,
           -2.887854871890168,
           -2.936427902155057,
           -2.9802079056665054,
           -3.019123421882964,
           -3.0531109303923696,
           -3.0821149545942466,
           -3.106088152252174,
           -3.124991392768851,
           -3.1387938210575803,
           -3.147472907905905,
           -3.1510144867492658,
           -3.1494127767945646,
           -3.1426703924559556,
           -3.1307983390874226,
           -3.113815995019138,
           -3.091751079926901,
           -3.0646396095862984,
           -3.0325258370854336,
           -2.9954621805921913,
           -2.953509137793921,
           -2.9067351871492204,
           -2.8552166761129807,
           -2.799037696517157,
           -2.738289947310661,
           -2.6730725848824335,
           -2.6034920612119916,
           -2.529661950111667,
           -2.4517027618441007,
           -2.369741746417627,
           -2.2839126858806376,
           -2.1943556759538767,
           -2.101216897357193,
           -2.0046483772039703,
           -1.9048077408526511,
           -1.8018579546204965,
           -1.6959670597794587,
           -1.5873078982683904,
           -1.4760578305693106,
           -1.3623984462081897,
           -1.246515267352836,
           -1.1285974459916632,
           -1.0088374551876358,
           -0.8874307749113282,
           -0.764575572965934,
           -0.6404723815250168,
           -0.5153237698109727,
           -0.3893340134485026,
           -0.2627087610327772,
           -0.13565469845656342,
           -0.00837921154418364,
           0.11890995245697589,
           0.24600502397489432,
           0.37269855024781684,
           0.4987837339419876,
           0.6240547706996002,
           0.748307185065916,
           0.87133816424726,
           0.9929468891551485
          ],
          [
           1.511308602189739,
           1.4165395091986204,
           1.3194582491831017,
           1.2202232844286578,
           1.1189965926363574,
           1.0159434025324252,
           0.9112319241712727,
           0.8050330743722105,
           0.6975201977380134,
           0.5888687837106907,
           0.4792561801263151,
           0.36886130373646253,
           0.2578643481687708,
           0.14644648980328512,
           0.03478959204471277,
           -0.07692409152674706,
           -0.18851221464143553,
           -0.299792635977556,
           -0.41058371646397784,
           -0.5207046157632176,
           -0.6299755874506925,
           -0.7382182724084148,
           -0.8452559899542225,
           -0.950914026231378,
           -1.055019919387767,
           -1.157403741079257,
           -1.257898373837672,
           -1.3563397838506916,
           -1.4525672887084111,
           -1.54642381967951,
           -1.6377561780889591,
           -1.7264152853787635,
           -1.8122564264435863,
           -1.8951394858440622,
           -1.974929176512246,
           -2.051495260575881,
           -2.124712761941033,
           -2.194462170286129,
           -2.2606296361344,
           -2.3231071566863255,
           -2.3817927521087645,
           -2.4365906319930044,
           -2.487411351710038,
           -2.5341719584078453,
           -2.576796126412384,
           -2.6152142818112694,
           -2.649363716016795,
           -2.6791886881229297,
           -2.7046405158892144,
           -2.725677655203048,
           -2.742265767890668,
           -2.754377777766128,
           -2.7619939148267885,
           -2.7651017475231936,
           -2.763696203050646,
           -2.757779575629362,
           -2.747361522759702,
           -2.7324590494585728,
           -2.713096480502745,
           -2.6893054207243865,
           -2.6611247034236203,
           -2.6286003269823066,
           -2.591785379782528,
           -2.5507399535523065,
           -2.5055310452800184,
           -2.4562324478575928,
           -2.402924629631003,
           -2.345694603054645,
           -2.284635782664011,
           -2.2198478325984583,
           -2.1514365039229975,
           -2.079513462014578,
           -2.004196104294669,
           -1.9256073686056379,
           -1.8438755325436778,
           -1.759134004075845,
           -1.6715211037830056,
           -1.5811798390840477,
           -1.4882576708099746,
           -1.392906272508847,
           -1.2952812828744276,
           -1.1955420517027,
           -1.0938513797908582,
           -0.9903752532033616,
           -0.8852825723387907,
           -0.7787448762397364,
           -0.6709360625957288,
           -0.5620321038962226,
           -0.4522107601969729,
           -0.34165128896861674,
           -0.2305341525010869,
           -0.11904072334143567,
           -0.0073529882458860385,
           0.10434674887067352,
           0.2158761645028875,
           0.32705321315509295,
           0.4376964244877115,
           0.5476251995248163,
           0.6566601054394221,
           0.764623168435298
          ],
          [
           1.3771846142106523,
           1.2979152437876955,
           1.2165273325067796,
           1.1331537269587835,
           1.047930514912672,
           0.9609968031842646,
           0.8724944905771332,
           0.7825680362662322,
           0.6913642240023377,
           0.5990319225221459,
           0.505721842555138,
           0.41158629082381903,
           0.31677892143887476,
           0.22145448509503396,
           0.12576857647702244,
           0.02987738028789355,
           -0.06606258368570472,
           -0.16189471605520556,
           -0.2574625934417307,
           -0.35261022380040696,
           -0.4471823010406224,
           -0.5410244585266453,
           -0.6339835210447697,
           -0.7259077548257835,
           -0.816647115214586,
           -0.9060534915827452,
           -0.9939809490842033,
           -1.0802859668595302,
           -1.1648276722999222,
           -1.2474680709885342,
           -1.3280722719438636,
           -1.406508707797502,
           -1.4826493495468562,
           -1.5563699155323434,
           -1.6275500742979134,
           -1.6960736410038089,
           -1.7618287670709374,
           -1.8247081227473272,
           -1.8846090722986677,
           -1.9414338415369556,
           -1.9950896774138316,
           -2.0454889994180725,
           -2.0925495425301497,
           -2.1361944915004845,
           -2.176352606232254,
           -2.21295833806406,
           -2.245951936762678,
           -2.275279548051237,
           -2.3008933015136392,
           -2.3227513887317333,
           -2.340818131527711,
           -2.3550640402003244,
           -2.365465861659879,
           -2.3720066173834184,
           -2.374675631128171,
           -2.3734685463579934,
           -2.368387333354395,
           -2.359440286000515,
           -2.3466420082433115,
           -2.33001339025606,
           -2.309581574340069,
           -2.2853799106212613,
           -2.2574479026139582,
           -2.225831142740694,
           -2.1905812379133276,
           -2.151755725296921,
           -2.109417978393866,
           -2.0636371036015784,
           -2.0144878274125815,
           -1.9620503744411129,
           -1.9064103364753415,
           -1.8476585327689357,
           -1.7858908618000395,
           -1.7212081447395784,
           -1.6537159608844703,
           -1.5835244753242916,
           -1.510748259122713,
           -1.4355061023072415,
           -1.3579208199724855,
           -1.278119051813436,
           -1.1962310554160136,
           -1.1123904936422373,
           -1.026734216457096,
           -0.9394020375532266,
           -0.8505365061379857,
           -0.7602826742554623,
           -0.6687878600231913,
           -0.576201407170025,
           -0.4826744412676849,
           -0.3883596230538666,
           -0.2934108992495572,
           -0.19798325127727523,
           -0.10223244229040862,
           -0.00631476292657851,
           0.08961322380002645,
           0.18539493805087393,
           0.28087403874278394,
           0.3758946787379225,
           0.47030175922753514,
           0.5639411828942009
          ],
          [
           1.212742900831722,
           1.1485104590523791,
           1.082403344527692,
           1.0145294615478577,
           0.9449995982363482,
           0.8739272457143903,
           0.8014284128534479,
           0.7276214369180707,
           0.6526267904081973,
           0.5765668844161675,
           0.4995658688194613,
           0.4217494296352742,
           0.34324458386769763,
           0.26417947218239046,
           0.1846831497471273,
           0.10488537557964239,
           0.02491640074660495,
           -0.055093244240564054,
           -0.13501296248599992,
           -0.21471230387805473,
           -0.2940611780183753,
           -0.37293006656383376,
           -0.45119023463469876,
           -0.5287139409440131,
           -0.6053746463051315,
           -0.6810472201771489,
           -0.7556081449110206,
           -0.8289357173630183,
           -0.9009102475464528,
           -0.9714142539973709,
           -1.0403326555353747,
           -1.1075529591065245,
           -1.1729654434017576,
           -1.2364633379510792,
           -1.2979429974011834,
           -1.3573040706920887,
           -1.4144496648566025,
           -1.469286503175255,
           -1.5217250774285698,
           -1.57167979399815,
           -1.6190691135780972,
           -1.663815684268703,
           -1.7058464678352125,
           -1.745092858925551,
           -1.7814907970523657,
           -1.814980871156697,
           -1.8455084165825433,
           -1.8730236043040254,
           -1.89748152225952,
           -1.9188422486600363,
           -1.9370709171521339,
           -1.9521377737290078,
           -1.964018225296919,
           -1.972692879817613,
           -1.9781475779612592,
           -1.980373416218216,
           -1.9793667614319177,
           -1.9751292567291436,
           -1.9676678188380023,
           -1.9569946267980007,
           -1.9431271020806333,
           -1.926087880152933,
           -1.9059047735304055,
           -1.8826107263796468,
           -1.8562437607447562,
           -1.8268469144853061,
           -1.7944681710271733,
           -1.7591603810409042,
           -1.7209811761754432,
           -1.679992874988045,
           -1.6362623812239119,
           -1.5898610746115902,
           -1.5408646943523836,
           -1.489353215493936,
           -1.4354107183898406,
           -1.3791252514582304,
           -1.3205886874635056,
           -1.2598965735556864,
           -1.1971479753121912,
           -1.1324453150366298,
           -1.0658942045785227,
           -0.9976032729468254,
           -0.9276839889986821,
           -0.856250479492763,
           -0.7834193428042235,
           -0.7093094586053272,
           -0.6340417938223863,
           -0.5577392051857508,
           -0.48052623869514743,
           -0.402528926327669,
           -0.32387458032026917,
           -0.2446915853625251,
           -0.16510918903887983,
           -0.08525729086241807,
           -0.005266230244497017,
           0.07473342625362012,
           0.154611098039922,
           0.23423640363370257,
           0.3134793734826058,
           0.39221066210730626
          ],
          [
           1.019056673357238,
           0.9693002293858912,
           0.9179616311487617,
           0.8651246768125422,
           0.8108756102572614,
           0.7553029803034645,
           0.698497496177124,
           0.6405518794481964,
           0.5815607126845119,
           0.5216202850680061,
           0.4608284352253218,
           0.39928439152929585,
           0.33708861013202096,
           0.2743426109938456,
           0.21114881217595016,
           0.1476103626669989,
           0.0838309740167098,
           0.019914751051184787,
           -0.04403397805369025,
           -0.10791083206341323,
           -0.17161154706264448,
           -0.23503214664148153,
           -0.29806911161245164,
           -0.36061954898120163,
           -0.4225813598950605,
           -0.48385340629537943,
           -0.5443356760015661,
           -0.603929445957422,
           -0.66253744337327,
           -0.7200640045008582,
           -0.7764152307819034,
           -0.8314991421153612,
           -0.8852258269932687,
           -0.9375075892601017,
           -0.9882590912560847,
           -1.0373974931108245,
           -1.0848425879598707,
           -1.1305169328635323,
           -1.174345975214235,
           -1.2162581744260779,
           -1.2561851187079993,
           -1.2940616367298974,
           -1.3298259039994802,
           -1.3634195437761796,
           -1.3947877223574285,
           -1.4238792385817634,
           -1.4506466074026552,
           -1.4750461373966626,
           -1.4970380020793876,
           -1.5165863049128268,
           -1.5336591378980144,
           -1.548228633657313,
           -1.560271010921342,
           -1.5697666133462962,
           -1.5766999415982994,
           -1.5810596786524107,
           -1.582838708265006,
           -1.5820341265893663,
           -1.578647246915525,
           -1.5726835975266296,
           -1.5641529126753242,
           -1.5530691166948736,
           -1.53945030127097,
           -1.5233186959113185,
           -1.5047006316612035,
           -1.483626498124259,
           -1.4601306938586018,
           -1.4342515702292897,
           -1.4060313688087507,
           -1.375516152427371,
           -1.3427557299867736,
           -1.3078035751585224,
           -1.2707167391009526,
           -1.2315557573365905,
           -1.1903845509421846,
           -1.147270322212588,
           -1.1022834449688759,
           -1.055497349689627,
           -1.0069884036529837,
           -0.9568357862850747,
           -0.9051213599182284,
           -0.8519295361700192,
           -0.7973471381611912,
           -0.7414632587973511,
           -0.6843691153458078,
           -0.6261579005448636,
           -0.5669246304886242,
           -0.5067659895356158,
           -0.44578017249434243,
           -0.38406672434339484,
           -0.3217263777477317,
           -0.2588608886363275,
           -0.1955728701095918,
           -0.13196562494766795,
           -0.06814297699296823,
           -0.0042091016822194405,
           0.05973164399539854,
           0.12357489183644876,
           0.18721643277974387,
           0.25055238700308546
          ],
          [
           0.7973900042937418,
           0.7614541512389765,
           0.7242754036742776,
           0.6859144471460534,
           0.6464338968783303,
           0.6058981955681491,
           0.5643735081980372,
           0.5219276140372706,
           0.478629796008188,
           0.43455072759813174,
           0.38976235750163557,
           0.34433779218113436,
           0.29835117653788146,
           0.2518775728878673,
           0.2049928384402735,
           0.15777350147845404,
           0.11029663644553267,
           0.06263973813854129,
           0.014880595216414605,
           -0.03290283677166439,
           -0.0806325626303348,
           -0.12823067482684003,
           -0.17561948065672084,
           -0.2227216290588494,
           -0.2694602368728134,
           -0.31575901433256703,
           -0.3615423895914951,
           -0.40673563207565255,
           -0.4512649744638155,
           -0.4950577330952628,
           -0.5380424266087225,
           -0.5801488926188485,
           -0.6213084022397974,
           -0.6614537722689384,
           -0.7005194748475958,
           -0.738441744419847,
           -0.7751586818147738,
           -0.8106103552822708,
           -0.844738898317503,
           -0.877488604114355,
           -0.9088060164936644,
           -0.9386400171578253,
           -0.96694190912938,
           -0.9936654962373757,
           -1.0187671585216962,
           -1.042205923432392,
           -1.063943532707718,
           -1.0839445048217289,
           -1.1021761928994973,
           -1.1186088380054617,
           -1.133215617717882,
           -1.1459726899101013,
           -1.1568592316672226,
           -1.1658574732746014,
           -1.1729527272227225,
           -1.1781334121810938,
           -1.1813910719020462,
           -1.1827203890235611,
           -1.1821191937486129,
           -1.179588467386852,
           -1.175132340752847,
           -1.1687580874235024,
           -1.1604761118656608,
           -1.150299932453259,
           -1.1382461594017679,
           -1.1243344676559308,
           -1.1085875647750492,
           -1.0910311538682427,
           -1.0716938916401793,
           -1.0506073416157564,
           -1.027805922620081,
           -1.0033268525978483,
           -0.9772100878638139,
           -0.9494982578835227,
           -0.9202365956907537,
           -0.8894728640552425,
           -0.8572572775212199,
           -0.8236424204439845,
           -0.788683161158354,
           -0.7524365624190152,
           -0.7149617882590209,
           -0.6763200074184641,
           -0.6365742935008969,
           -0.5957895220205449,
           -0.5540322645083169,
           -0.5113706798494517,
           -0.46787440303020844,
           -0.4236144314751522,
           -0.37866300916058027,
           -0.3330935086932598,
           -0.2869803115469267,
           -0.24039868665205333,
           -0.19342466753705434,
           -0.14613492822147034,
           -0.09860665806368019,
           -0.05091743576746932,
           -0.0031451027530717823,
           0.04463236390060921,
           0.0923369787352204,
           0.13989087520583343
          ],
          [
           0.5491895775156279,
           0.5263287098734089,
           0.5026087346107815,
           0.47806836899913785,
           0.45274766940384703,
           0.42668796590166025,
           0.3999317948191061,
           0.3725228293019551,
           0.34450580802910125,
           0.315926462187206,
           0.28683144082531253,
           0.25726823471126004,
           0.22728509881419523,
           0.1969309735397058,
           0.166255404846134,
           0.13530846337247482,
           0.104140662709856,
           0.07280287694999643,
           0.04134625764523747,
           0.009822150315692113,
           -0.02171798936022995,
           -0.05322267953509119,
           -0.08464049622441028,
           -0.1159201572442079,
           -0.1470106059170826,
           -0.1778610944102148,
           -0.20842126656924798,
           -0.23864124011284016,
           -0.26847168805374455,
           -0.2978639192134924,
           -0.3267699576992671,
           -0.35514262121325313,
           -0.3829355980666165,
           -0.4101035227724257,
           -0.43660205009412456,
           -0.46238792742868373,
           -0.487419065406284,
           -0.5116546065912915,
           -0.5350549921724062,
           -0.5575820265330935,
           -0.5791989395969326,
           -0.5998704468461025,
           -0.6195628069150474,
           -0.6382438766653022,
           -0.655883163651596,
           -0.672451875893588,
           -0.6879229688719857,
           -0.7022711896723575,
           -0.7154731182045624,
           -0.7275072054305303,
           -0.7383538085379917,
           -0.7479952230027385,
           -0.7564157114870903,
           -0.7636015295273897,
           -0.7695409479686031,
           -0.774224272109399,
           -0.7776438575264693,
           -0.7797941225522442,
           -0.7806715573856532,
           -0.7802747298210468,
           -0.7786042875859349,
           -0.775662957283725,
           -0.7714555399431836,
           -0.7659889031818877,
           -0.7592719699964587,
           -0.7513157041978709,
           -0.7421330925156135,
           -0.7317391233999144,
           -0.7201507625566266,
           -0.7073869252547094,
           -0.6934684454515097,
           -0.6784180417862338,
           -0.6622602804971214,
           -0.6450215353228486,
           -0.626729944453615,
           -0.6074153646021747,
           -0.587109322269789,
           -0.5658449622866377,
           -0.5436569937106981,
           -0.5205816331733728,
           -0.4966565457643912,
           -0.47192078355240463,
           -0.4464147218416894,
           -0.4201799932689898,
           -0.39325941984802437,
           -0.36569694307264555,
           -0.3375375521927175,
           -0.3088272107797403,
           -0.2796127817021645,
           -0.24994195063279623,
           -0.21986314821316455,
           -0.18942547100191742,
           -0.15867860133624934,
           -0.12767272623719617,
           -0.09645845549114274,
           -0.06508673904127171,
           -0.03360878382378374,
           -0.002075970184640674,
           0.029460231986750074,
           0.060948347269993874
          ],
          [
           0.27607524663713257,
           0.26545842640560746,
           0.2544083078326693,
           0.2429429276335724,
           0.23108100034035184,
           0.21884188775474644,
           0.20624556734462374,
           0.1933125996354672,
           0.18006409465017192,
           0.1665216774518905,
           0.15270745284622578,
           0.13864396930033518,
           0.12435418213787308,
           0.10986141606983146,
           0.09518932712244865,
           0.08036186402431422,
           0.0654032291157165,
           0.0503378388440181,
           0.03519028390956169,
           0.019985289127147254,
           0.004747673068592917,
           -0.010497692447734686,
           -0.025725922954306313,
           -0.04091216195245906,
           -0.05603162148477292,
           -0.07105962259557508,
           -0.08597163561351717,
           -0.10074332019048882,
           -0.11535056503149832,
           -0.1297695272506818,
           -0.143976671289197,
           -0.15794880733148364,
           -0.17166312915716375,
           -0.1850972513668312,
           -0.1982292459209436,
           -0.21103767793217187,
           -0.22350164065281541,
           -0.23560078960012998,
           -0.24731537576391727,
           -0.25862627784211734,
           -0.26951503345183747,
           -0.27996386926484096,
           -0.2899557300183173,
           -0.2994743063535834,
           -0.3085040614372634,
           -0.31703025632151594,
           -0.3250389740018895,
           -0.3325171421335553,
           -0.33945255436883004,
           -0.3458338902811606,
           -0.3516507338430588,
           -0.356893590427807,
           -0.3615539023072021,
           -0.3656240626200291,
           -0.369097427788473,
           -0.3719683283621895,
           -0.37423207827235194,
           -0.37588498248055163,
           -0.37692434301007843,
           -0.37734846334973215,
           -0.3771566512229774,
           -0.37634921971792196,
           -0.37492748677627386,
           -0.37289377304211246,
           -0.37025139807398344,
           -0.3670046749265019,
           -0.36315890311030663,
           -0.3587203599418567,
           -0.35369629029719296,
           -0.3480948947863829,
           -0.34192531636795875,
           -0.3351976254251885,
           -0.3279228033285517,
           -0.32011272451123585,
           -0.3117801370869242,
           -0.30293864204150234,
           -0.29360267103265203,
           -0.28378746283357126,
           -0.27350903845926844,
           -0.26278417501602735,
           -0.2516303783167353,
           -0.2400658543067622,
           -0.22810947934706238,
           -0.21578076940293034,
           -0.20309984818881688,
           -0.19008741432109222,
           -0.17676470753242501,
           -0.1631534740029359,
           -0.1492759308646754,
           -0.1351547299373843,
           -0.12081292075475059,
           -0.10627391294145472,
           -0.09156143800248717,
           -0.07669951058706115,
           -0.06171238929033773,
           -0.04662453705699754,
           -0.03146058125124629,
           -0.016245273458443066,
           -0.0010034490839618826,
           0.014240013184743994
          ],
          [
           -0.020170536789528182,
           -0.019454157081782775,
           -0.01870602304582958,
           -0.017927355834232106,
           -0.01711942643776343,
           -0.016283553610821677,
           -0.015421101718873231,
           -0.01453347851144926,
           -0.013622132824313127,
           -0.012688552214598303,
           -0.01173426053270532,
           -0.010760815434982085,
           -0.009769805841215451,
           -0.008762849341094281,
           -0.007741589553875272,
           -0.006707693445560103,
           -0.005662848607969728,
           -0.004608760504143383,
           -0.0035471496845786987,
           -0.0024797489788319638,
           -0.0014083006670837506,
           -0.00033455363627954426,
           0.0007397394745174424,
           0.0018128251348974445,
           0.002882951785331933,
           0.003948372696174651,
           0.005007348818793389,
           0.006058151624152686,
           0.007099065924233372,
           0.008128392671671314,
           0.009144451733051007,
           0.01014558463132964,
           0.011130157252909001,
           0.012096562514940068,
           0.013043222988511793,
           0.013968593473424384,
           0.014871163520369102,
           0.015749459896384543,
           0.016602048989553975,
           0.017427539149047266,
           0.01822458295665408,
           0.018991879426138336,
           0.01972817612678135,
           0.02043227122768254,
           0.0211030154594698,
           0.0217393139902069,
           0.02234012821244713,
           0.022904477438519866,
           0.023431440501270107,
           0.02392015725764507,
           0.024369829992677783,
           0.024779724721566643,
           0.025149172387735064,
           0.025477569954906576,
           0.025764381391419677,
           0.026009138545175503,
           0.026211441907782462,
           0.026370961266662385,
           0.026487436244043205,
           0.026560676721964827,
           0.026590563152601776,
           0.026577046753397088,
           0.026520149586688135,
           0.026419964523694994,
           0.026276655092930534,
           0.026090455213277686,
           0.02586166881217289,
           0.025590669329516702,
           0.025277899108118174,
           0.02492386867167884,
           0.024529155891478638,
           0.02409440504314153,
           0.02362032575500317,
           0.023107691849812984,
           0.022557340081648558,
           0.02197016877011393,
           0.021347136334042283,
           0.02068925972710467,
           0.0199976127778716,
           0.019273324437042216,
           0.01851757693469569,
           0.017731603850584587,
           0.01691668810059621,
           0.0160741598427121,
           0.015205394305814579,
           0.014311809544969023,
           0.01339486412678248,
           0.012456054748620993,
           0.011496913795618902,
           0.010519006839421863,
           0.009523930082742105,
           0.0085133077539572,
           0.007488789455928568,
           0.006452047473403333,
           0.005404774043424432,
           0.0043486785931383665,
           0.003285484949559603,
           0.0022169285258311078,
           0.0011447534885755672,
           7.070991094160206e-05
          ],
          [
           -0.33761435625409186,
           -0.3265495889991916,
           -0.3149518064724868,
           -0.30283993932161923,
           -0.29023375731625967,
           -0.27715383707862395,
           -0.26362152849698584,
           -0.24965891987701472,
           -0.23528880188780832,
           -0.2205346303615121,
           -0.2054204880071886,
           -0.18997104510146912,
           -0.17421151922014477,
           -0.15816763407640977,
           -0.14186557753296203,
           -0.12533195885648585,
           -0.10859376528429188,
           -0.09167831797401771,
           -0.07461322740826404,
           -0.05742634832699256,
           -0.040145734261223254,
           -0.022799591742257874,
           -0.005416234261160113,
           0.011975963946352586,
           0.0293486142141548,
           0.046673359783531154,
           0.06392192208889735,
           0.08106614691590153,
           0.09807805035654305,
           0.11492986448631193,
           0.13159408268878092,
           0.1480435045536801,
           0.16425128027515612,
           0.1801909544777507,
           0.19583650939858188,
           0.21116240735519387,
           0.22614363242982183,
           0.24075573130197814,
           0.25497485316273494,
           0.2687777886455591,
           0.28214200771012266,
           0.29504569641729983,
           0.30746779253527023,
           0.3193880199186583,
           0.33078692160456535,
           0.3416458915714684,
           0.3519472051091772,
           0.3616740477502387,
           0.37081054271560276,
           0.37934177682971715,
           0.3872538248627735,
           0.3945337722603688,
           0.4011697362234674,
           0.407150885104276,
           0.4124674560863526,
           0.41711077112010697,
           0.4210732510876707,
           0.42434842817402296,
           0.4269309564241732,
           0.4288166204691744,
           0.430002342406719,
           0.43048618682508966,
           0.4302673639622629,
           0.42934623099500957,
           0.4277242914558881,
           0.4254041927790808,
           0.42238972197908264,
           0.41868579946929196,
           0.4142984710305935,
           0.4092348979430478,
           0.40350334529678555,
           0.39711316850119927,
           0.39007479801443656,
           0.38239972231813946,
           0.3741004691651999,
           0.3651905851311592,
           0.35568461350261193,
           0.3455980705387174,
           0.33494742014456236,
           0.3237500469977146,
           0.3120242281718326,
           0.29978910330365105,
           0.28706464335202586,
           0.27387161800005755,
           0.26023156175346873,
           0.24616673879061146,
           0.23170010662141216,
           0.21685527861468046,
           0.2016564854548264,
           0.1861285355909752,
           0.17029677474303462,
           0.15418704453076337,
           0.1378256402934177,
           0.12123926816881436,
           0.1044550015018384,
           0.08750023665360107,
           0.07040264828332088,
           0.053190144175966125,
           0.03589081968938057,
           0.018532911895215776
          ],
          [
           -0.6741844485249229,
           -0.653823643762633,
           -0.6323956259370522,
           -0.6099353712390299,
           -0.5864795407429182,
           -0.5620664205660124,
           -0.5367358593754838,
           -0.5105292033448179,
           -0.4834892286659218,
           -0.45566007172707934,
           -0.4270871570706847,
           -0.3978171232483838,
           -0.36789774669462894,
           -0.3373778637428977,
           -0.30630729091189224,
           -0.27473674359180134,
           -0.24271775326337952,
           -0.21030258338494345,
           -0.17754414408458796,
           -0.14449590579686689,
           -0.11121181198490859,
           -0.07774619109041936,
           -0.044153667855299616,
           -0.010489074159625744,
           0.023192640478478133,
           0.056836498594986296,
           0.09038758451772022,
           0.12379113400325803,
           0.1569926236266479,
           0.18993785977806077,
           0.2225730671210906,
           0.2548449763683216,
           0.2867009112308869,
           0.3180888744001029,
           0.348957632420829,
           0.3792567993180054,
           0.4089369188398928,
           0.4379495451837476,
           0.46624732207218944,
           0.4937840600511554,
           0.5205148118833054,
           0.5463959459138117,
           0.5713852172887415,
           0.5954418369098216,
           0.6185265380130542,
           0.6406016402624459,
           0.6616311112542759,
           0.6815806253315029,
           0.7004176196123346,
           0.71811134714144,
           0.7346329270771084,
           0.7499553918324426,
           0.7640537310935653,
           0.7769049326430799,
           0.788488019922087,
           0.7987840862694784,
           0.8077763257826058,
           0.8154500607489567,
           0.8217927656040637,
           0.8267940873765371,
           0.8304458625868513,
           0.8327421305723015,
           0.8336791432163824,
           0.8332553710667043,
           0.831471505831465,
           0.8283304592503976,
           0.8238373583420424,
           0.8179995370350972,
           0.8108265241975052,
           0.8023300280828253,
           0.7925239172192631,
           0.7814241977725704,
           0.7690489874197457,
           0.755418485776199,
           0.7405549414246355,
           0.7244826155994875,
           0.7072277425861646,
           0.6888184868997644,
           0.6692848973131338,
           0.6486588578093291,
           0.6269740355385252,
           0.6042658258643252,
           0.5805712945891641,
           0.5559291174531253,
           0.5303795170048997,
           0.5039641969479569,
           0.4767262740690681,
           0.4487102078603229,
           0.4199617279494561,
           0.39052775945703644,
           0.3604563464022421,
           0.3297965732823185,
           0.298598484953712,
           0.26691300494562054,
           0.2347918523393293,
           0.202287457349013,
           0.16945287574173662,
           0.13634170223642972,
           0.10300798302314274,
           0.06950612754535168
          ],
          [
           -1.0276842247907725,
           -0.9991404021582047,
           -0.9689657182078832,
           -0.9372094260024713,
           -0.9039233602074832,
           -0.869161852483423,
           -0.8329816428021424,
           -0.7954417868322063,
           -0.7566035595444198,
           -0.7165303551948825,
           -0.6752875838487986,
           -0.6329425646139515,
           -0.589564415758125,
           -0.5452239418898124,
           -0.4999935183863764,
           -0.45394697325829014,
           -0.40715946664230973,
           -0.35970736812025894,
           -0.3116681320636747,
           -0.26312017120779263,
           -0.21414272866123252,
           -0.16481574856029368,
           -0.11521974557898584,
           -0.06543567350778723,
           -0.01554479311566137,
           0.034371460489007966,
           0.08423161078204355,
           0.13395427281471317,
           0.18345828605547077,
           0.23266284686541727,
           0.28148764039119545,
           0.32985297166007044,
           0.3776798956631966,
           0.4248903462147444,
           0.4714072633765598,
           0.5171547192403576,
           0.5620580418621399,
           0.60604393714656,
           0.6490406084822604,
           0.6909778739329249,
           0.7317872807927599,
           0.771402217319408,
           0.8097580214619224,
           0.8467920864063343,
           0.8824439627665255,
           0.9166554572536092,
           0.9493707276627648,
           0.9805363740224804,
           1.0101015257574315,
           1.0380179247227015,
           1.0642400039738402,
           1.0887249621441628,
           1.1114328333079002,
           1.1323265522151533,
           1.1513720147921849,
           1.1685381338082823,
           1.1837968896183402,
           1.197123375898328,
           1.2084958402989985,
           1.2178957199514708,
           1.2253076717667417,
           1.2307195974796643,
           1.2341226633965146,
           1.235511314813916,
           1.2348832850855844,
           1.2322395993220925,
           1.2275845727176193,
           1.220925803506414,
           1.212274160560465,
           1.2016437656486305,
           1.1890519703861748,
           1.174519327912348,
           1.158069559342223,
           1.1397295150475701,
           1.1195291308299447,
           1.097501379057547,
           1.0736822148456002,
           1.0481105173680927,
           1.0208280263966865,
           0.9918792741703761,
           0.9613115127070966,
           0.9291746366759397,
           0.8955211019558567,
           0.8604058400137995,
           0.8238861682420384,
           0.7860216964010247,
           0.7468742293204991,
           0.7065076660176683,
           0.664987895397112,
           0.6223826887026789,
           0.5787615888968718,
           0.534195797148378,
           0.4887580566129195,
           0.44252253369717565,
           0.3955646969996236,
           0.34796119412581916,
           0.29978972657922753,
           0.25112892293184164,
           0.20205821048155848,
           0.15265768560581527
          ],
          [
           -1.3958066064633858,
           -1.3602461911910453,
           -1.3224654944737328,
           -1.2825261843980424,
           -1.240493452478315,
           -1.1964359072468644,
           -1.1504254622667074,
           -1.102537218749617,
           -1.0528493429710784,
           -1.001442938682271,
           -0.9484019147272957,
           -0.8938128480817547,
           -0.837764842536239,
           -0.7803493832553801,
           -0.7216601874498725,
           -0.6617930514052057,
           -0.6008456941167939,
           -0.5389175977867477,
           -0.4761098454426058,
           -0.4125249559431081,
           -0.3482667166403193,
           -0.28344001397121943,
           -0.21815066225530888,
           -0.15250523097766155,
           -0.0866108708393476,
           -0.02057513885915352,
           0.04549417718790405,
           0.11148923470873484,
           0.1773023123197941,
           0.2428259856768724,
           0.3079533028200183,
           0.37257795874742694,
           0.43659446893330145,
           0.49989834150649326,
           0.5623862478088695,
           0.6239561910549991,
           0.6845076728178707,
           0.7439418570689122,
           0.8021617315045075,
           0.8590722658957373,
           0.9145805672028309,
           0.9685960312011774,
           1.0210304903713778,
           1.0717983578119297,
           1.1208167669397064,
           1.168005706750122,
           1.213288152416236,
           1.2565901910136437,
           1.2978411421659213,
           1.3369736734136808,
           1.373923910118937,
           1.408631539725427,
           1.441039910204632,
           1.4710961225268748,
           1.4987511170065198,
           1.5239597533803557,
           1.546680884488438,
           1.5668774234371319,
           1.584516404134733,
           1.5995690351008423,
           1.6120107464616766,
           1.621821230054598,
           1.628984472576405,
           1.633488781721279,
           1.6353268052657168,
           1.6344955430693042,
           1.6309963519717388,
           1.6248349435781089,
           1.616021374936042,
           1.6045700321199474,
           1.5904996067491346,
           1.5738330654781532,
           1.554597612509135,
           1.5328246451873477,
           1.508549702752422,
           1.4818124083289181,
           1.4526564042509094,
           1.4211292808261526,
           1.387282498656122,
           1.3511713046387044,
           1.3128546417906493,
           1.2723950530369867,
           1.229858579124428,
           1.185314650825414,
           1.138835975608731,
           1.0904984189616989,
           1.0403808805576378,
           0.9885651654707361,
           0.935135850648543,
           0.8801801468600243,
           0.8237877563445277,
           0.7660507263940204,
           0.7070632991075492,
           0.6469217575632351,
           0.5857242686588311,
           0.5235707228773743,
           0.46056257123952005,
           0.3968026597086478,
           0.3323950613190494,
           0.2674449063012263
          ],
          [
           -1.7761490820798556,
           -1.734784292441776,
           -1.6905878761463462,
           -1.643631973430883,
           -1.5939932287441643,
           -1.5417526656424356,
           -1.4869955545375393,
           -1.4298112735130584,
           -1.3702931624356434,
           -1.3085383705996816,
           -1.2446476981539547,
           -1.1787254315691431,
           -1.110879173414736,
           -1.0412196667231832,
           -0.9698606142279864,
           -0.8969184927707721,
           -0.82251236318029,
           -0.7467636759336633,
           -0.6697960729170891,
           -0.5917351856095969,
           -0.5127084300192504,
           -0.4328447987065349,
           -0.3522746502343965,
           -0.2711294963885873,
           -0.18954178751567063,
           -0.10764469632902784,
           -0.025571900535782177,
           0.05654263536057336,
           0.1385648787256546,
           0.2203609475708932,
           0.30179732908434165,
           0.3827410975588821,
           0.4630601313621243,
           0.5426233285938498,
           0.6213008210789743,
           0.698964186346748,
           0.7754866572501813,
           0.8507433288835529,
           0.9246113624602383,
           0.9969701858180895,
           1.067701690225078,
           1.1366904231639898,
           1.203823776781448,
           1.2689921716937,
           1.3320892358491618,
           1.3930119781557173,
           1.451660956589417,
           1.5079404405101564,
           1.5617585669193916,
           1.6130274904048423,
           1.6616635265274269,
           1.7075872884164045,
           1.750723816349729,
           1.7910027001081381,
           1.8283581939032516,
           1.8627293236920772,
           1.894059986702773,
           1.9222990430092053,
           1.947400399004831,
           1.9693230826396462,
           1.9880313102974112,
           2.0034945452039694,
           2.01568754727134,
           2.024590414296213,
           2.030188614445607,
           2.032473009976667,
           2.031439872151871,
           2.0270908873253206,
           2.0194331541901613,
           2.008479172191642,
           1.9942468211247115,
           1.97675933194947,
           1.9560452488720947,
           1.9321383827531529,
           1.905077755919334,
           1.8749075384686957,
           1.8416769761733867,
           1.8054403100975238,
           1.7662566880614312,
           1.7241900680967643,
           1.6793091140500849,
           1.631687083505315,
           1.5814017082079808,
           1.528535067186461,
           1.473173452777302,
           1.4154072297733133,
           1.3553306879243303,
           1.2930418880314103,
           1.2286425018856817,
           1.1622376463130921,
           1.0939357115959587,
           1.0238481845513672,
           0.9520894665552051,
           0.8787766868088775,
           0.8040295111534608,
           0.7279699467434337,
           0.6507221428987275,
           0.5724121884602029,
           0.4931679059793419,
           0.4131186430780325
          ],
          [
           -2.166229387037448,
           -2.1203103229379114,
           -2.0709303517628137,
           -2.0181700746816116,
           -1.9621156104167758,
           -1.902858454675274,
           -1.8404953308033867,
           -1.7751280319086273,
           -1.706863254706473,
           -1.6358124253631212,
           -1.5620915176185184,
           -1.485820863486552,
           -1.4071249568413933,
           -1.3261322502105708,
           -1.2429749451064818,
           -1.1577887762385743,
           -1.0707127899584021,
           -0.9818891172992288,
           -0.8914627419805843,
           -0.7995812637565107,
           -0.7063946574937328,
           -0.6120550283730228,
           -0.5167163636133258,
           -0.4205342811239028,
           -0.3236657754947574,
           -0.2262689617399527,
           -0.12850281721210433,
           -0.03052692210930097,
           0.06749880100196926,
           0.1654143482227326,
           0.26305989549020214,
           0.36027605945290375,
           0.45690415762644854,
           0.5527864674053049,
           0.6477664835077972,
           0.7416891734341045,
           0.8344012305202853,
           0.9257513241753017,
           1.015590346892548,
           1.1037716576327292,
           1.1901513211808088,
           1.2745883430863412,
           1.356944899803695,
           1.4370865636565107,
           1.514882522259232,
           1.5902057920374868,
           1.6629334254988697,
           1.732946711915751,
           1.8001313710925726,
           1.8643777399013541,
           1.9255809512808955,
           1.983641105407566,
           2.038463432758218,
           2.0899584487991136,
           2.138042100048347,
           2.182635901273339,
           2.2236670635995033,
           2.261068613320924,
           2.2947795012191636,
           2.3247447022117185,
           2.350915305167507,
           2.3732485927427716,
           2.3917081111070724,
           2.406263729445582,
           2.41689168914054,
           2.4235746425515985,
           2.4263016813317595,
           2.425068354232681,
           2.4198766743702915,
           2.4107351159388517,
           2.3976586003788287,
           2.3806684720211626,
           2.3597924632476697,
           2.3350646492244675,
           2.3065253922822917,
           2.2742212760344986,
           2.238205029340296,
           2.198535440237299,
           2.1552772599839063,
           2.1085010973681335,
           2.058283303455392,
           2.0047058469633727,
           1.9478561804674144,
           1.8878270976547875,
           1.8247165818608533,
           1.7586276461343586,
           1.6896681650929,
           1.617950698843023,
           1.5435923092523725,
           1.4667143688737645,
           1.3874423628330956,
           1.3059056840044336,
           1.2222374218066347,
           1.136574144966223,
           1.0490556786011167,
           0.9598248759890762,
           0.8690273853933572,
           0.7768114123262624,
           0.6833274776385494,
           0.5887281718295876
          ],
          [
           -2.563501703828804,
           -2.514308188158642,
           -2.4610106567204104,
           -2.403696105177752,
           -2.342458086033248,
           -2.277396555926007,
           -2.208617712476002,
           -2.13623382094147,
           -2.0603630309723244,
           -1.9811291837586942,
           -1.898661609889352,
           -1.8130949182499956,
           -1.72456877630596,
           -1.6332276821279832,
           -1.5392207285331425,
           -1.4427013597259641,
           -1.343827120836901,
           -1.2427594007670333,
           -1.1396631687586996,
           -1.0347067051220789,
           -0.9280613265572297,
           -0.8199011065199393,
           -0.7104025910878109,
           -0.5997445107903916,
           -0.4881074888736885,
           -0.37567374647526997,
           -0.26262680519119286,
           -0.1491511875202267,
           -0.03543211567435467,
           0.07834479075285827,
           0.19199381776651592,
           0.30532946010474227,
           0.41816672403230815,
           0.5303214292993257,
           0.6416105097721205,
           0.7518523122455596,
           0.860866892949109,
           0.9684763112626582,
           1.0745049201626529,
           1.178779652924479,
           1.2811303056131194,
           1.3813898149009827,
           1.4793945307594258,
           1.5749844835788638,
           1.66800364528148,
           1.7583001840003,
           1.8457267119089424,
           1.9301405257975222,
           2.011403840002028,
           2.0893840113069504,
           2.16395375545408,
           2.2349913549040803,
           2.302380857511689,
           2.3660122657902782,
           2.4257817164568385,
           2.481591649964318,
           2.5333509697446015,
           2.58097519090219,
           2.624386578115897,
           2.6635142725234413,
           2.698294407381844,
           2.7286702123148467,
           2.7545921059771725,
           2.776017776984388,
           2.7929122529762767,
           2.8052479577009723,
           2.8130047560266966,
           2.816169986807617,
           2.814738483550184,
           2.8087125828462165,
           2.7981021205589633,
           2.7829244157683766,
           2.763204242501791,
           2.7389737892961645,
           2.710272606657871,
           2.6771475425058178,
           2.6396526657032586,
           2.5978491778031065,
           2.5518053131508207,
           2.501596227507913,
           2.4473038753778713,
           2.389016876234746,
           2.3268303698727255,
           2.2608458611128492,
           2.191171054120291,
           2.1179196766026887,
           2.041211294176455,
           1.9611711152040718,
           1.8779297864209452,
           1.7916231796853808,
           1.70239217019979,
           1.6103824065651096,
           1.5157440730437748,
           1.4186316444192926,
           1.3192036338525477,
           1.217622334146423,
           1.1140535528410167,
           1.0086663415719048,
           0.9016327201331809,
           0.7931273956956497
          ],
          [
           -2.965373277048362,
           -2.9142065030573545,
           -2.8582829735117623,
           -2.7976939703984782,
           -2.7325383909908396,
           -2.662922586422143,
           -2.5889601880924697,
           -2.5107719221921987,
           -2.4284854126449362,
           -2.3422349727915326,
           -2.252161386155199,
           -2.158411676645565,
           -2.0611388685767897,
           -1.960501736891422,
           -1.8566645479977062,
           -1.7497967916433734,
           -1.6400729042635582,
           -1.5276719842544204,
           -1.4127774996371958,
           -1.2955769885898811,
           -1.1762617533353423,
           -1.0550265478855048,
           -0.9320692601513061,
           -0.8075905889373054,
           -0.6817937163481718,
           -0.554883976141757,
           -0.4270685185701222,
           -0.2985559722555422,
           -0.16955610365344143,
           -0.04027947465806747,
           0.08906290109019288,
           0.21825990263486794,
           0.3471006463086228,
           0.4753748299511651,
           0.602873076177981,
           0.7293872741395813,
           0.8547109192134315,
           0.9786394500741133,
           1.1009705825914757,
           1.2215046400118355,
           1.3400448788832233,
           1.4563978101927315,
           1.5703735151917355,
           1.6817859553935044,
           1.7904532762372098,
           1.8961981039226505,
           1.9988478349311896,
           2.0982349177603328,
           2.194197126412098,
           2.28657782518872,
           2.3752262243635327,
           2.459997626309675,
           2.54075366168487,
           2.61736251528679,
           2.6896991412103066,
           2.7576454669554797,
           2.8210905861530904,
           2.879930939593166,
           2.9340704842609924,
           2.983420850104703,
           3.0279014842785736,
           3.0674397826265656,
           3.101971208191505,
           3.13143939655646,
           3.1557962478463724,
           3.175002005239774,
           3.189025319862429,
           3.1978433019569863,
           3.201441558245117,
           3.1998142154211484,
           3.1929639297388515,
           3.1809018826757374,
           3.1636477626819213,
           3.141229733043374,
           3.113684385911988,
           3.0810566825775103,
           3.0433998800788333,
           3.000775444274421,
           2.953252949513778,
           2.900909965073716,
           2.8438319285447813,
           2.7821120063745215,
           2.7158509417952006,
           2.645156890384218,
           2.570145243525598,
           2.4909384400607464,
           2.4076657664358883,
           2.3204631456723983,
           2.2294729155044966,
           2.134843596046426,
           2.0367296473683596,
           1.9352912173767223,
           1.8306938804104655,
           1.723108366979965,
           1.6127102850896846,
           1.4996798335994894,
           1.3842015080924441,
           1.2664637997292503,
           1.146658887580835,
           1.0249823249412895
          ],
          [
           -3.369221334734017,
           -3.317395373931921,
           -3.2601545467313224,
           -3.1975922852971923,
           -3.1298107077821937,
           -3.0569204516428714,
           -2.979040493050064,
           -2.896297952688337,
           -2.8088278882614057,
           -2.7167730740422633,
           -2.6202837678278126,
           -2.5195174656784056,
           -2.4146386448426393,
           -2.3058184952869936,
           -2.193234640268537,
           -2.077070846406815,
           -1.9575167237281237,
           -1.834767416171831,
           -1.7090232830638543,
           -1.5804895720772696,
           -1.4493760842138403,
           -1.315896831353308,
           -1.18026968692942,
           -1.0427160303028726,
           -0.9034603854116678,
           -0.7627300542886717,
           -0.6207547460446063,
           -0.4777662019220301,
           -0.33399781703237164,
           -0.18968425939338296,
           -0.045061086888893875,
           0.0996356372239422,
           0.24416972963229888,
           0.38830527248129076,
           0.5318069984542957,
           0.6744406747914198,
           0.815973485619292,
           0.956174411968135,
           1.094814608855799,
           1.2316677788232906,
           1.3665105413120462,
           1.499122797280088,
           1.6292880884618404,
           1.7567939506852532,
           1.8814322606695195,
           2.002999575737292,
           2.1212974658869204,
           2.236132837682685,
           2.347318249434345,
           2.4546722171515323,
           2.5580195107736037,
           2.657191440191445,
           2.7520261305943245,
           2.8423687866923855,
           2.92807194538349,
           3.0089957164519925,
           3.0850080109065603,
           3.155984756584329,
           3.221810100669482,
           3.2823765987956803,
           3.3375853904236705,
           3.3873463602078298,
           3.431578285088237,
           3.47020896686818,
           3.5031753500607072,
           3.5304236248118475,
           3.5519093147325265,
           3.56759734949579,
           3.5774621220808513,
           3.5814875305705196,
           3.5796670044337864,
           3.572003515250671,
           3.5585095718618116,
           3.539207199950737,
           3.5141279060921202,
           3.483312626324722,
           3.4468116593329525,
           3.404684584346116,
           3.357000163889355,
           3.303836231545033,
           3.245279564907741,
           3.1814257439403266,
           3.1123789949621123,
           3.038252020523996,
           2.9591658154480753,
           2.8752494693321173,
           2.7866399558411974,
           2.693481909130458,
           2.595927387763932,
           2.4941356265147543,
           2.3882727764519123,
           2.2785116337377693,
           2.165031357579037,
           2.0480171777915794,
           1.9276600924563771,
           1.8041565561601636,
           1.6777081593295828,
           1.548521299182318,
           1.416806842832266,
           1.2827797830986363
          ],
          [
           -3.7724102056085838,
           -3.7212434316175758,
           -3.6640026044169773,
           -3.600781156171759,
           -3.5316822810017543,
           -3.4568187665415855,
           -3.3763128098414183,
           -3.2902958179090653,
           -3.1989081932189998,
           -3.1022991045384014,
           -3.000626243444282,
           -2.8940555669291363,
           -2.782761026515253,
           -2.666924284319834,
           -2.546734416534387,
           -2.422387604802386,
           -2.2940868159989547,
           -2.1620414709352724,
           -2.0264671025284193,
           -1.8875850039946802,
           -1.7456218676404989,
           -1.6008094148406964,
           -1.4533840178079172,
           -1.3035863137706758,
           -1.1516608121897818,
           -0.9978554956542394,
           -0.8424214151081024,
           -0.6856122800689448,
           -0.5276840445068558,
           -0.36889448905987177,
           -0.20950280026782497,
           -0.04976914751137329,
           0.11004574165321213,
           0.269681007070365,
           0.42887608177797176,
           0.5873711173215455,
           0.7449074078956057,
           0.9012278126199735,
           1.0560771752616596,
           1.2092027407173123,
           1.3603545675763695,
           1.5092859360915432,
           1.6557537508906632,
           1.7995189377726097,
           1.9403468339396244,
           2.078007571029041,
           2.21227645031923,
           2.3429343094973265,
           2.469767880390076,
           2.5925701370738845,
           2.711140633795851,
           2.8252858321542567,
           2.9348194170043955,
           3.039562600574156,
           3.1393444142929443,
           3.234001987857588,
           3.3233808150797426,
           3.407335006080842,
           3.4857275254229525,
           3.5584304157868436,
           3.6253250068321603,
           3.6863021088988073,
           3.741262191233334,
           3.7901155444494443,
           3.832782426957439,
           3.869193195123569,
           3.8992884169468613,
           3.9230189690678636,
           3.9403461169509493,
           3.9512415781093235,
           3.955687568269521,
           3.9536768304000423,
           3.9452126465567465,
           3.9303088325256708,
           3.9089897152720106,
           3.881290093232085,
           3.847255179513085,
           3.8069405280933277,
           3.7604119431434744,
           3.7077453716167277,
           3.649026779283318,
           3.5843520104116435,
           3.513826631325072,
           3.437565758089801,
           3.3556938686149875,
           3.268344599471895,
           3.1756605277636747,
           3.0777929384018288,
           2.9749015771692413,
           2.867154389972814,
           2.754727248711348,
           2.6378036642060976,
           2.5165744866625896,
           2.3912375941526265,
           2.2619975696249486,
           2.129065366971778,
           1.9926579666962754,
           1.8529980217429922,
           1.7103134940694047,
           1.5648372825517045
          ],
          [
           -4.172308520507298,
           -4.123115004837136,
           -4.067191475291544,
           -4.004629213857414,
           -3.935530338687409,
           -3.8600076374161523,
           -3.7781843830609785,
           -3.6901941328077794,
           -3.5961805100103543,
           -3.49629696975913,
           -3.3907065484018766,
           -3.279581597425274,
           -3.1631035021317224,
           -3.041462385570565,
           -2.9148567982070004,
           -2.7834933938352266,
           -2.6475865922648043,
           -2.5073582293308436,
           -2.3630371947992512,
           -2.2148590587581216,
           -2.063065687105064,
           -1.907904846758107,
           -1.7496298012345761,
           -1.5884988972580643,
           -1.424775143068279,
           -1.2587257791220425,
           -1.0906218418862164,
           -0.9207377214345125,
           -0.7493507135703519,
           -0.5767405672067873,
           -0.40318902774230825,
           -0.2289793771778621,
           -0.05439597172571897,
           0.12027622233504953,
           0.294752093798885,
           0.4687468519106197,
           0.6419764912192827,
           0.8141582551500992,
           0.9850110975379733,
           1.1542561413691508,
           1.32161713398223,
           1.4868208979855648,
           1.6495977771549866,
           1.8096820765840649,
           1.9668124963684472,
           2.1207325581163974,
           2.271191023589335,
           2.4179423047890753,
           2.5607468648223866,
           2.699371608888525,
           2.8335902647515816,
           2.963183752076609,
           3.0879405400266426,
           3.2076569925369682,
           3.3221377007030153,
           3.4311958017393582,
           3.534653283989197,
           3.632341277486437,
           3.7241003295961352,
           3.8097806652833563,
           3.8892424315856307,
           3.9623559258899705,
           4.029001807641824,
           4.089071293140422,
           4.142466333102536,
           4.189099772704832,
           4.228895493843593,
           4.261788539379586,
           4.287725219165284,
           4.306663197681397,
           4.318571563139619,
           4.323430877938846,
           4.3212332103924815,
           4.311982147675042,
           4.295692789966946,
           4.272391725807019,
           4.242116988692976,
           4.204917995000691,
           4.160855463323607,
           4.11000131536394,
           4.052438558537437,
           3.9882611504833383,
           3.9175738457006495,
           3.840492024561118,
           3.7571415049779473,
           3.6676583370377003,
           3.572188580930587,
           3.4708880685416066,
           3.3639221490917186,
           3.2514654192441848,
           3.133701438116657,
           3.0108224276641575,
           2.8830289589220253,
           2.7505296246209547,
           2.6135406987085013,
           2.472285783332825,
           2.3269954438648464,
           2.1779068325546067,
           2.0252633014360972,
           1.8693140051123787
          ],
          [
           -4.566306385728026,
           -4.52038732162849,
           -4.467089790190258,
           -4.406500787076974,
           -4.338719209561976,
           -4.263855695101807,
           -4.182032440746633,
           -4.093383003682346,
           -3.9980520832299145,
           -3.896195284657844,
           -3.7879788651932307,
           -3.6735794626460025,
           -3.553183807089317,
           -3.4269884160667026,
           -3.29519927382347,
           -3.1580314950859574,
           -3.015708973937418,
           -2.8684640183636843,
           -2.7165369710651004,
           -2.560175817153693,
           -2.399635779375896,
           -2.2351789015215484,
           -2.067073620699141,
           -1.8955943291754749,
           -1.7210209264949379,
           -1.543638362609431,
           -1.3637361727647135,
           -1.1816080049023157,
           -0.9975511403484658,
           -0.8118660085723537,
           -0.6248556968058043,
           -0.4368254553247777,
           -0.24808219920020225,
           -0.058934007331439275,
           0.1303103804199539,
           0.3193420671753042,
           0.507852503240195,
           0.6955339897391735,
           0.8820801808616503,
           1.0671865838992765,
           1.2505510562585438,
           1.4318742986374033,
           1.610860343560847,
           1.7872170384780857,
           1.9606565226327706,
           2.1308956969278525,
           2.2976566860181578,
           2.460667291876432,
           2.6196614380924905,
           2.774379604180274,
           2.924569249183892,
           3.0699852238912504,
           3.2103901709823734,
           3.3455549124593196,
           3.4752588237252624,
           3.5992901937021706,
           3.717446570399268,
           3.8295350913682076,
           3.935372798505589,
           4.034786936688952,
           4.127615235758813,
           4.213706175386483,
           4.292919232395294,
           4.3651251101315856,
           4.430205949511025,
           4.488055521395809,
           4.5385793999886905,
           4.581695116960848,
           4.617332296062016,
           4.645432767993118,
           4.665950665353954,
           4.67885249751092,
           4.684117205262579,
           4.681736195213846,
           4.67171335380268,
           4.6540650409563895,
           4.62882006338791,
           4.5960196275756235,
           4.555717272503497,
           4.507978782271302,
           4.452882078717569,
           4.39051709423055,
           4.320985624954769,
           4.244401164632812,
           4.160888719353524,
           4.070584603509017,
           3.9736362172935467,
           3.8702018061074117,
           3.760450202258631,
           3.6445605493839626,
           3.5227220100391343,
           3.395133456935529,
           3.2620031483273344,
           3.1235483880790147,
           2.979995170967937,
           2.8315778138011534,
           2.6785385729484,
           2.5211272489156538,
           2.359600778604668,
           2.194222815923993
          ],
          [
           -4.951832416224162,
           -4.910467626586082,
           -4.8610876554109845,
           -4.803773103868326,
           -4.738617524460688,
           -4.6657272683213655,
           -4.585221311621198,
           -4.497231061367999,
           -4.401900140915567,
           -4.299384155532408,
           -4.189850438412789,
           -4.073477777544714,
           -3.950456123880669,
           -3.8209862812874293,
           -3.685279578781062,
           -3.5435575255820932,
           -3.396051449553885,
           -3.2430021196144128,
           -3.084659352737712,
           -2.921281606186531,
           -2.753135555641743,
           -2.5804956599171174,
           -2.403643712969971,
           -2.2228683839389145,
           -2.0384647459595016,
           -1.8507337945268398,
           -1.6599819561913707,
           -1.4665205883897032,
           -1.2706654712269612,
           -1.072736292040156,
           -0.8730561235839169,
           -0.6719508966903431,
           -0.46974886826369744,
           -0.2667800854783531,
           -0.06337584705452848,
           0.1401318375088163,
           0.3434107898612657,
           0.546129205003858,
           0.7479561928825635,
           0.9485623184883516,
           1.1476201395822216,
           1.344804741167529,
           1.5397942658371617,
           1.732270439129925,
           1.921919089038631,
           2.108430658821874,
           2.291500712282482,
           2.470830430687887,
           2.6461271005213134,
           2.8171045912676305,
           2.983483822453996,
           3.1449932191829992,
           3.301369155414683,
           3.45235638427396,
           3.597708454680993,
           3.737188113624521,
           3.8705676934215143,
           3.997629483331018,
           4.118166084915659,
           4.231980750570721,
           4.338887704668266,
           4.438712446792078,
           4.531292036568475,
           4.616475359628097,
           4.694123374264494,
           4.764109338386971,
           4.826319016397179,
           4.880650865651824,
           4.927016202207112,
           4.96533934557438,
           4.995557742250684,
           5.017622067822638,
           5.031496307476912,
           5.0371578147859175,
           5.034597348672776,
           5.023819088495192,
           5.0048406272236425,
           4.977692942724993,
           4.94242034719843,
           4.8990804148462335,
           4.847743887897458,
           4.78849456113791,
           4.721429145134898,
           4.6466571083800225,
           4.564300498607642,
           4.47449374358071,
           4.377383431669121,
           4.273128072578726,
           4.161897838621588,
           4.043874286949766,
           3.919250063206044,
           3.788228587075304,
           3.6510237202498095,
           3.5078594173503834,
           3.358969360373244,
           3.204596577259211,
           3.0449930452078333,
           2.8804192793839802,
           2.7111439076882196,
           2.5374432322850384
          ],
          [
           -5.326370517474893,
           -5.290810102202552,
           -5.246613685907123,
           -5.1938534088259205,
           -5.132615389681416,
           -5.062999585112719,
           -4.985119626519912,
           -4.899102634587559,
           -4.805089011790134,
           -4.7032322132180635,
           -4.593698496098444,
           -4.476666648419282,
           -4.352327697100229,
           -4.220884596186143,
           -4.082551895572417,
           -3.937555390802822,
           -3.7861317545114797,
           -3.628528150110551,
           -3.4650018283541817,
           -3.295819707437262,
           -3.1212579373143567,
           -2.941601448949958,
           -2.7571434892358204,
           -2.5681851423344852,
           -2.3750348382303326,
           -2.1780078492902812,
           -1.9774257756559361,
           -1.773616020307113,
           -1.5669112546536201,
           -1.3576488755275444,
           -1.146170454462415,
           -0.9328211801581463,
           -0.7179492950418109,
           -0.5019055268439203,
           -0.28504251611802456,
           -0.06771424063809839,
           0.14972456238678156,
           0.36691897533737006,
           0.5835144795036333,
           0.7991575337530352,
           1.013496151603134,
           1.2261804757566042,
           1.4368633491608378,
           1.6452008816600507,
           1.8508530113149457,
           2.0534840594737127,
           2.2527632786883416,
           2.4483653925819087,
           2.6399711267856367,
           2.8272677300790856,
           3.009949484882819,
           3.1877182062703557,
           3.360283728684788,
           3.527364379565709,
           3.688687439113303,
           3.8439895854391626,
           3.993017324377246,
           4.135527403253371,
           4.271287207937906,
           4.400075142533533,
           4.521680991078337,
           4.635906260673848,
           4.7425645054779295,
           4.841481631033693,
           4.9324961784376775,
           5.015459587883484,
           5.090236441150648,
           5.156704682642987,
           5.214755818615602,
           5.264295094265357,
           5.30524164839578,
           5.337528645403903,
           5.361103384373644,
           5.375927385097638,
           5.381976450887111,
           5.379240708067266,
           5.367724622093741,
           5.347446990263798,
           5.318440911034164,
           5.280753729995605,
           5.234446962592393,
           5.179596193712844,
           5.116290954314789,
           5.044634575287385,
           4.964744018787774,
           4.876749687327921,
           4.780795210923241,
           4.677037212650421,
           4.565645052997165,
           4.446800553421082,
           4.320697699569004,
           4.187542324641109,
           4.047551773416721,
           3.9009545474901612,
           3.747989932295721,
           3.588907606530582,
           3.4239672346131425,
           3.2534380428420397,
           3.077598379947655,
           2.8967352627533667
          ],
          [
           -5.687476306507733,
           -5.658932483875166,
           -5.621151787157853,
           -5.57419588444239,
           -5.518141420177554,
           -5.453079890070313,
           -5.37911749174064,
           -5.296374951378914,
           -5.204987326688848,
           -5.105103786437624,
           -4.99688736697301,
           -4.880514706104936,
           -4.756175754785884,
           -4.62407346706071,
           -4.484423468791976,
           -4.337453705701536,
           -4.183404071302833,
           -4.022526015331279,
           -3.8550821333117757,
           -3.6813457379334,
           -3.5016004129308262,
           -3.3161395502006887,
           -3.125265870908434,
           -2.929290931367326,
           -2.728534614496182,
           -2.523324607685853,
           -2.313995867926767,
           -2.1008900750705544,
           -1.8843550741181856,
           -1.664744307444955,
           -1.4424162378890735,
           -1.2177337636455348,
           -0.9910636259203089,
           -0.7627758103117235,
           -0.533242942896138,
           -0.3028396820036656,
           -0.07194210667671452,
           0.15907289719045536,
           0.38982825202914917,
           0.6199473040865473,
           0.8490544382242038,
           1.0767756910212878,
           1.302739361181751,
           1.526576616249125,
           1.7479220946386218,
           1.9664145020038384,
           2.1816972009646562,
           2.393418793233747,
           2.601233693191497,
           2.8048026919731073,
           3.0037935111471423,
           3.197881345081811,
           3.386749391113611,
           3.5700893666530655,
           3.7476020123834077,
           3.9189975807309114,
           4.083996308809556,
           4.242328875068012,
           4.393736838893637,
           4.537973062455885,
           4.674802114100584,
           4.80400065263666,
           4.9253577918880005,
           5.038675444915463,
           5.143768647347132,
           5.240465859289079,
           5.328609245323832,
           5.4080549321395,
           5.478673243369071,
           5.540348911256521,
           5.592981264804271,
           5.636484394094881,
           5.67078729051874,
           5.695833962678902,
           5.7115835277838425,
           5.718010278378986,
           5.715103724308076,
           5.702868609835871,
           5.681324905904262,
           5.6505077775344095,
           5.610467526428128,
           5.561269508862216,
           5.502994029009725,
           5.435736207862319,
           5.359605827967664,
           5.2747271542352845,
           5.181238731103373,
           5.0792931563976325,
           4.969056832251285,
           4.850709693492777,
           4.7244449139445805,
           4.590468591112426,
           4.448999409779681,
           4.300268285055966,
           4.144517985462633,
           3.98200273667036,
           3.8129878065356198,
           3.6377490721134107,
           3.4565725693529643,
           3.2697540262114266
          ],
          [
           -6.032793064903304,
           -6.012432260141015,
           -5.982257576190694,
           -5.942318266115003,
           -5.892679521428285,
           -5.833422365686783,
           -5.764643522236778,
           -5.686455256336508,
           -5.598985191909577,
           -5.502376103228977,
           -5.396785681871724,
           -5.282386279324497,
           -5.159364625660451,
           -5.027921524746365,
           -4.888271526477632,
           -4.740642576576103,
           -4.585275644522394,
           -4.422424330229994,
           -4.25235445010313,
           -4.075343603154129,
           -3.8916807178884203,
           -3.701665580696827,
           -3.5056083465249035,
           -3.3038290326180566,
           -3.0966569961687958,
           -2.8844303967186935,
           -2.6674956441926168,
           -2.446206833466126,
           -2.2209251663890166,
           -1.9920183622083965,
           -1.7598600573536385,
           -1.5248291955629454,
           -1.2873094093469675,
           -1.047688393799112,
           -0.8063572737746361,
           -0.5637099654714688,
           -0.32014253345482846,
           -0.07605254417511231,
           0.1681615829656531,
           0.4121012259396326,
           0.6553682107497196,
           0.8975654613547999,
           1.13829764780282,
           1.3771718315138095,
           1.613798106659535,
           1.8477902365929126,
           2.0787662842883323,
           2.306349235763873,
           2.530167615467811,
           2.749856092624946,
           2.965056077553003,
           3.1754163069758325,
           3.380593417377934,
           3.5802525054645207,
           3.7740676748122306,
           3.961722567818268,
           4.1429108820796605,
           4.317336870359761,
           4.484715823325947,
           4.6447745342705264,
           4.797251745056315,
           4.941898572559012,
           5.078478914910248,
           5.206769836878275,
           5.326561933757203,
           5.43765967317085,
           5.539881714233286,
           5.633061203545095,
           5.717046047542254,
           5.7916991607530335,
           5.856898689557741,
           5.912538211086043,
           5.95852690692723,
           5.994789711369879,
           6.021267433928939,
           6.03791685596025,
           6.044710801204808,
           6.041638180147592,
           6.028704008118597,
           6.005929397106483,
           5.973351521298225,
           5.931023556401019,
           5.879014592845459,
           5.8174095230116905,
           5.746308902662599,
           5.665828786810218,
           5.576100540283264,
           5.477270623304996,
           5.369500352431417,
           5.252965637239988,
           5.127856693198701,
           4.99437773118412,
           4.852746624155258,
           4.703194551527283,
           4.545965621825593,
           4.381316474236165,
           4.209515859702532,
           4.0308442022531885,
           3.8455931412754416,
           3.654065055482798
          ],
          [
           -6.360067119666746,
           -6.349002352411846,
           -6.327574334586265,
           -6.295818042380852,
           -6.253785310461126,
           -6.201544747359396,
           -6.1391816234875085,
           -6.066797731952978,
           -5.984511222405714,
           -5.892456408186572,
           -5.790783547092453,
           -5.679658596115851,
           -5.559262940559164,
           -5.429793097965925,
           -5.291460397352198,
           -5.144490634261757,
           -4.989123702208049,
           -4.82561320110456,
           -4.65422602332269,
           -4.475241918052843,
           -4.288953034679775,
           -4.095663445917555,
           -3.895688651482498,
           -3.6893550631141947,
           -3.4769994717852652,
           -3.2589684979694242,
           -3.0356180258652303,
           -2.8073126224989666,
           -2.574424942654866,
           -2.3373351206039676,
           -2.0964301496244704,
           -1.8521032503263868,
           -1.6047532288115325,
           -1.3547838257165226,
           -1.1026030572012946,
           -0.8486225489588572,
           -0.5932568643333256,
           -0.3369228276429155,
           -0.08003884381246085,
           0.17697578457406493,
           0.43370154168622355,
           0.6897193832078852,
           0.9446114203283367,
           1.1979616018473207,
           1.449356393280604,
           1.6983854518575972,
           1.9446422963092456,
           2.187724970352947,
           2.427236698791488,
           2.6627865351550715,
           2.8939899998293166,
           3.120469707627671,
           3.3418559837837947,
           3.5577874673585415,
           3.767911701076554,
           3.971885706629723,
           4.169376544508483,
           4.360061857447118,
           4.543630396596051,
           4.719782529562275,
           4.888230729488625,
           5.048700044373653,
           5.200928545865978,
           5.344667756800627,
           5.47968305677945,
           5.605754065133662,
           5.722675000643357,
           5.830255017426866,
           5.928318516451709,
           6.016705432158629,
           6.095271493730923,
           6.163888460582556,
           6.2224443316807,
           6.270843528361043,
           6.30900705033743,
           6.336872604651228,
           6.354394707349904,
           6.361544757728856,
           6.358311085015329,
           6.3446989674182035,
           6.32073062351256,
           6.286445175973093,
           6.241898587715557,
           6.187163570550494,
           6.122329466498334,
           6.047502101959589,
           5.962803614978198,
           5.86837225587993,
           5.764362161611308,
           5.650943104147352,
           5.528300213378833,
           5.396633674931333,
           5.256158403409378,
           5.107103691598978,
           4.9497128362011695,
           4.784242740707482,
           4.610963496065492,
           4.430157939818994,
           4.242121194442354,
           4.047160185622575
          ],
          [
           -6.667162551584156,
           -6.666446171876411,
           -6.654848389349706,
           -6.632388134651684,
           -6.599102068856697,
           -6.555044523625245,
           -6.50028741252035,
           -6.434920113625591,
           -6.3590493236564445,
           -6.272798883803041,
           -6.17630957758859,
           -6.069738901073445,
           -5.953260805779894,
           -5.827065414757279,
           -5.691358712250912,
           -5.546362207481318,
           -5.392312573082616,
           -5.229461258790215,
           -5.058074081008345,
           -4.8784307889274094,
           -4.6908246078993345,
           -4.49556176081627,
           -4.292960968273852,
           -4.083352928334923,
           -3.8670797767428597,
           -3.644494528465562,
           -3.4159605014817,
           -3.1818507237496974,
           -2.94254732432748,
           -2.6984409096368083,
           -2.4499299258903195,
           -2.197420008721958,
           -1.9413233210823644,
           -1.682057880479964,
           -1.4200468766658596,
           -1.1557179808762679,
           -0.8895026477599846,
           -0.6218354111303039,
           -0.35315317469095797,
           -0.08389449889373823,
           0.1855011149081096,
           0.4545939418423175,
           0.7229447512648406,
           0.9901155237004051,
           1.2556701658061207,
           1.5191752221911083,
           1.7802005829303145,
           2.0383201856176316,
           2.2931127108124003,
           2.5441622697441457,
           2.7910590831529936,
           3.0334001501577967,
           3.2707899060601084,
           3.502840868010381,
           3.7291742674824144,
           3.949420668523744,
           4.163220570772807,
           4.370224996258573,
           4.570096059024875,
           4.762507516649632,
           4.947145302758729,
           5.123708039665402,
           5.291907530298289,
           5.451469228615268,
           5.60213268773518,
           5.7436519850560135,
           5.875796123665604,
           5.998349409389679,
           6.11111180286178,
           6.213899246040399,
           6.306543962640378,
           6.3888947319881515,
           6.460817135853883,
           6.522193777857556,
           6.5729244750908995,
           6.612926421642391,
           6.642134323758394,
           6.660500506419833,
           6.667994991160426,
           6.664605544999468,
           6.650337700409292,
           6.625214746284815,
           6.589277689929892,
           6.542585190122567,
           6.485213461368431,
           6.417256149498393,
           6.338824178813933,
           6.2500455710293,
           6.151065236306242,
           6.042044736722286,
           5.9231620225587225,
           5.794611141838695,
           5.65660192358951,
           5.50935963534619,
           5.35312461545529,
           5.188151880779176,
           5.014710710441069,
           4.8330842062903105,
           4.643568830805314,
           4.44647392318838
          ],
          [
           -6.952075135071545,
           -6.96269195530307,
           -6.961943821267116,
           -6.949831954116249,
           -6.9263761236201375,
           -6.891614615896078,
           -6.845604170915921,
           -6.78841988989144,
           -6.720155112689286,
           -6.640921265475654,
           -6.550847678839322,
           -6.450081376689915,
           -6.3387868362760305,
           -6.217145719714874,
           -6.085356577471641,
           -5.943634524272672,
           -5.792210887981329,
           -5.631332832009775,
           -5.461262951882912,
           -5.282278846613064,
           -5.09467266558499,
           -4.898750631690836,
           -4.694832541493413,
           -4.483251243233638,
           -4.264352093534214,
           -4.03849239368629,
           -3.8060408064392943,
           -3.567376754245835,
           -3.3228897999439493,
           -3.072979010887539,
           -2.818052307562933,
           -2.5585257977547986,
           -2.2948230973482135,
           -2.027374638875535,
           -1.7566169689366915,
           -1.4829920356397093,
           -1.2069464672245496,
           -0.9289308430477154,
           -0.6493989581176169,
           -0.3688070823811267,
           -0.08761321597038751,
           0.19372365837451433,
           0.4747443244867262,
           0.7549900823348388,
           1.0340034967426246,
           1.3113291440441928,
           1.5865143554558312,
           1.8591099559511428,
           2.12867099743347,
           2.3947574850088293,
           2.656935095173906,
           2.914775884746871,
           3.1678589893837854,
           3.4157713105405065,
           3.658108189758728,
           3.8944740691755833,
           4.124483137178667,
           4.347759958152594,
           4.563940085289198,
           4.772670655461087,
           4.973610965187553,
           5.166433026752759,
           5.350822103568393,
           5.526477223907017,
           5.6931116721674915,
           5.850453456870655,
           5.998245754621335,
           6.136247329312029,
           6.264232925884027,
           6.381993638003212,
           6.489337249050449,
           6.586088545869922,
           6.672089604763337,
           6.747200049263151,
           6.811297279264082,
           6.864276671138904,
           6.906051748511864,
           6.936554323410995,
           6.955734607568916,
           6.963561293690445,
           6.960021606554388,
           6.945121323866077,
           6.918884766826624,
           6.881354760434289,
           6.832592563582766,
           6.772677769070467,
           6.701708173684031,
           6.619799618568105,
           6.527085800141977,
           6.423718051871656,
           6.309865097253658,
           6.185712774413629,
           6.051463732769401,
           5.907337102253552,
           5.753568135635422,
           5.590407824526388,
           5.418122489695188,
           5.236993346362005,
           5.0473160451808905,
           4.849400189659697
          ],
          [
           -7.212945418539347,
           -7.235806286181566,
           -7.246856404754503,
           -7.246077737542906,
           -7.233471555537546,
           -7.209058435360641,
           -7.17287822567936,
           -7.124989982162269,
           -7.0654718710848545,
           -6.994421041741503,
           -6.91195346787216,
           -6.818203758362525,
           -6.71332493752676,
           -6.597488195331341,
           -6.470882607967777,
           -6.333714829230264,
           -6.186208753202056,
           -6.028605148801127,
           -5.8611612667816235,
           -5.684150419832623,
           -5.497861536459554,
           -5.302598689376489,
           -5.098680599179065,
           -4.8864401141082014,
           -4.666223666753772,
           -4.438390708585002,
           -4.203313123230647,
           -3.9613746194665618,
           -3.7129701049015416,
           -3.458505041383675,
           -3.198394783179401,
           -2.933063899005527,
           -2.6629454790208253,
           -2.3884804279083736,
           -2.110116745202539,
           -1.8283087940352782,
           -1.5435165594953792,
           -1.2562048978111542,
           -0.9668427775821806,
           -0.6759025142985355,
           -0.3838589993970447,
           -0.09118892511287324,
           0.20162999360822997,
           0.4941197988670365,
           0.785803069964512,
           1.0762037026786273,
           1.364847686392336,
           1.651263877804229,
           1.9349847699589868,
           2.2155472553423423,
           2.4924933817949766,
           2.7653711000115555,
           3.0337350014046987,
           3.297147045129581,
           3.555177273082406,
           3.807404511705709,
           4.053417059454982,
           4.292813358804433,
           4.525202651695058,
           4.750205617355109,
           4.967454991451875,
           5.176596165564214,
           5.377287765997216,
           5.569202210994374,
           5.7520262454375946,
           5.925461452162403,
           6.089224739053645,
           6.243048801126671,
           6.386682556839757,
           6.519891557925562,
           6.642458372072696,
           6.7541829378327325,
           6.854882891173407,
           6.944393863144921,
           7.0225697481735345,
           7.089282942544498,
           7.144424552685045,
           7.187904572907508,
           7.219652032322385,
           7.239615110681607,
           7.247761222962877,
           7.244077072557054,
           7.2285686729717185,
           7.20126133801555,
           7.162199640479496,
           7.1114473393821855,
           7.049087275898364,
           6.975221238140177,
           6.889969795012073,
           6.793472099410459,
           6.68588566108939,
           6.567386089562998,
           6.4381668074643335,
           6.298438734828484,
           6.14842994481531,
           5.988385291433749,
           5.818566009875318,
           5.639249290109214,
           5.450727824435008,
           5.2533093297313895
          ],
          [
           -7.448070859904913,
           -7.48400671295968,
           -7.507726688222307,
           -7.519192068421404,
           -7.518384139024935,
           -7.5053042187873,
           -7.47997365759677,
           -7.4424338016268345,
           -7.392745925848296,
           -7.330991134012334,
           -7.257270226267731,
           -7.171703534628375,
           -7.0744307265596005,
           -6.965610577003954,
           -6.845420709218507,
           -6.714057304846733,
           -6.571734783698194,
           -6.418685453758721,
           -6.255159132002353,
           -6.081422736623976,
           -5.897759851358268,
           -5.704470262596049,
           -5.501869470053632,
           -5.290288171793857,
           -5.070071724439427,
           -4.8415795794595695,
           -4.605184696450206,
           -4.361272934365275,
           -4.110242421692895,
           -3.8525029066044034,
           -3.588475088136995,
           -3.318589929501665,
           -3.043287954637295,
           -2.7630185291591043,
           -2.4782391268751525,
           -2.189414583068119,
           -1.8970163357612289,
           -1.6015216562067258,
           -1.3034128698530116,
           -1.003176569061977,
           -0.7013028188616102,
           -0.398284357030283,
           -0.09461578981842855,
           0.20920721537964804,
           0.512688739086014,
           0.8153334192108241,
           1.1166472596142225,
           1.4161384364386618,
           1.7133181008954907,
           2.0077011771954276,
           2.2988071543204924,
           2.5861608703450676,
           2.8692932880257684,
           3.1477422603942653,
           3.4210532851033184,
           3.688780246294783,
           3.950486142778659,
           4.205743801334559,
           4.454136573971372,
           4.695259018006947,
           4.928717557857736,
           5.1541311274582355,
           5.371131792261539,
           5.579365349805829,
           5.778491907866417,
           5.9681864392497594,
           6.1481393123237496,
           6.3180567964184196,
           6.477661541272067,
           6.626693029740204,
           6.764908003028427,
           6.892080857755085,
           7.008004014195654,
           7.112488255107732,
           7.2053630345836055,
           7.286476756426269,
           7.3556970215945,
           7.412910844313103,
           7.458024836495567,
           7.490965360178119,
           7.511678647716347,
           7.520130889548216,
           7.516308289380209,
           7.500217086706527,
           7.471883546624593,
           7.43135391696345,
           7.378694352795096,
           7.313990808451897,
           7.237348897226408,
           7.148893718982533,
           7.048769655959488,
           6.937140137101802,
           6.814187371300068,
           6.680112049977856,
           6.535133019510245,
           6.379486924008683,
           6.213427819055209,
           6.037226757016578,
           5.85117134461514,
           5.655565273478602
          ],
          [
           -7.655916938051828,
           -7.705673382023176,
           -7.742852129587874,
           -7.767392495199518,
           -7.7792544224927385,
           -7.778418549665797,
           -7.7648862410841595,
           -7.738679585053493,
           -7.699841357765706,
           -7.648434953476899,
           -7.584544281031173,
           -7.508273626899207,
           -7.419747484955171,
           -7.319110353269804,
           -7.206526498251348,
           -7.082179686519346,
           -6.946272884948925,
           -6.799027929375191,
           -6.64068516249849,
           -6.47150304158157,
           -6.2917577165789975,
           -6.101742579387404,
           -5.901767784952345,
           -5.6921597450134165,
           -5.4732605953139934,
           -5.245427637145224,
           -5.009032754135862,
           -4.764461805239843,
           -4.512113994912456,
           -4.252401221503118,
           -3.9857474049283494,
           -3.7125877947223938,
           -3.433368259594889,
           -3.1485445596552424,
           -2.858581602491622,
           -2.5639526843188496,
           -2.2651387174338424,
           -1.9626274452395664,
           -1.6569126461188612,
           -1.3484933274575486,
           -1.0378729111324412,
           -0.7255584117937244,
           -0.41205960928299357,
           -0.09788821653776258,
           0.21644295565935545,
           0.5304208357234357,
           0.8435329287357245,
           1.1552681529708586,
           1.4651176741173768,
           1.77257573582986,
           2.0771404852569963,
           2.378314792198153,
           2.6756070605512843,
           2.9685320307277765,
           3.256611571724388,
           3.5393754615594677,
           3.816362154799571,
           4.087119535923633,
           4.351205657295049,
           4.608189460537073,
           4.85765148013405,
           5.099184528110074,
           5.3323943586674,
           5.5569003116998505,
           5.772335934130741,
           5.978349578061215,
           6.174604974752572,
           6.360781783505775,
           6.5365761145421715,
           6.701701025031952,
           6.855886987460737,
           6.998882329569726,
           7.130453645151385,
           7.250386175030084,
           7.358484157605853,
           7.45457114838908,
           7.538490308004571,
           7.610104658194873,
           7.6692973054050215,
           7.715971631583715,
           7.750051451889529,
           7.771481139044729,
           7.780225714133678,
           7.776270903697691,
           7.7596231630330825,
           7.730309665654428,
           7.688378258940192,
           7.633897386033161,
           7.56695597412314,
           7.487663289294253,
           7.396148758173823,
           7.292561756673876,
           7.177071366170166,
           7.049866097516659,
           6.911153583345979,
           6.761160239158054,
           6.600130893750143,
           6.4283283895915115,
           6.246033153795031,
           6.053542740385964
          ],
          [
           -7.835127167718316,
           -7.89935960949766,
           -7.9506982077347885,
           -7.989059164263013,
           -8.014379863858306,
           -8.02661897644391,
           -8.025756524551962,
           -8.01179391593199,
           -7.9847539412530955,
           -7.944680736903559,
           -7.891639712948583,
           -7.825717446363772,
           -7.747021539718613,
           -7.655680445540636,
           -7.551843256646919,
           -7.435679462785195,
           -7.307378673981765,
           -7.167150311047804,
           -7.0152232637492205,
           -6.85184551719804,
           -6.677283747075134,
           -6.491822884344998,
           -6.295765650173075,
           -6.0894320618047715,
           -5.873158910212707,
           -5.6472992103647845,
           -5.412221625010428,
           -5.168309862925497,
           -4.915962052598111,
           -4.655590092377684,
           -4.387618978147909,
           -4.112486109621108,
           -3.8306405763862434,
           -3.542542424875971,
           -3.248661907449216,
           -2.9494787148149877,
           -2.645481193050312,
           -2.337165546490297,
           -2.025035027791475,
           -1.7095991164903892,
           -1.3913726873982908,
           -1.070875170189296,
           -0.7486297015538255,
           -0.425162271301204,
           -0.10100086380520956,
           0.22332540380602506,
           0.547287145309066,
           0.8703555694834701,
           1.1920033432388797,
           1.5117054523620568,
           1.8289400584788824,
           2.1431893508325857,
           2.453940391487788,
           2.760685952580861,
           3.062925344249904,
           3.360165231892979,
           3.651920441420641,
           3.937714751188317,
           4.217081669315961,
           4.489565195126147,
           4.7547205634577265,
           5.0121149706402,
           5.261328280943713,
           5.501953712351689,
           5.733598500536601,
           5.955884539955235,
           6.168449001016896,
           6.37094492231723,
           6.563041776970994,
           6.744426012119309,
           6.914801560730842,
           7.073890324861475,
           7.2214326295836955,
           7.357187646844726,
           7.480933788561584,
           7.592469068311432,
           7.691611431026818,
           7.778199050157685,
           7.8520905918150925,
           7.913165445465484,
           7.961323920798984,
           7.9964874104503245,
           8.018598518306861,
           8.027621153194204,
           8.023540587786552,
           8.00636348264559,
           7.976117875348682,
           7.932853134724139,
           7.876639880268236,
           7.807569866875517,
           7.725755835070554,
           7.631331326985597,
           7.524450468384501,
           7.405287717088733,
           7.2740375782160775,
           7.130914286696858,
           6.976151457585878,
           6.810001704740882,
           6.632736228489965,
           6.444644372960898
          ],
          [
           -7.984531952453633,
           -8.06380132287659,
           -8.129908437401276,
           -8.182745391737496,
           -8.22222594200522,
           -8.248285645507407,
           -8.26088196591753,
           -8.259994342710105,
           -8.245624224720899,
           -8.217795067782056,
           -8.176552296435972,
           -8.121963229790431,
           -8.054116971636024,
           -7.9731242650052,
           -7.87911731141036,
           -7.772249555056028,
           -7.652695432377336,
           -7.520650087313653,
           -7.3763290527820615,
           -7.219967898870653,
           -7.051821848325865,
           -6.872165359961468,
           -6.6812916806692115,
           -6.479512366762366,
           -6.2671567754334365,
           -6.044571527156139,
           -5.812119939909142,
           -5.570181436145058,
           -5.3191509234726775,
           -5.059438150063339,
           -4.7914670358335645,
           -4.515674980495675,
           -4.232512149605803,
           -3.942440739774685,
           -3.6459342242405706,
           -3.3434765800357162,
           -3.0355614980079064,
           -2.722691576986435,
           -2.4053775034079443,
           -2.08413721774112,
           -1.7594950690709041,
           -1.4319809592221366,
           -1.1021294778196746,
           -0.7704790296967752,
           -0.43757095607604146,
           -0.10394865095741634,
           0.22984332584450096,
           0.5632601375660595,
           0.8957575598122207,
           1.2267928688746683,
           1.5558257276003853,
           1.8823190673647827,
           2.2057399647096743,
           2.5255605112152946,
           2.841258675186408,
           3.1523191537460633,
           3.458234213946157,
           3.7585045215218282,
           4.052639955937031,
           4.340160410390832,
           4.620596575478639,
           4.893490705229274,
           5.15839736426739,
           5.414884154881815,
           5.662532422812916,
           5.900937940607075,
           6.129711567422756,
           6.348479884211251,
           6.556885803235318,
           6.754589150930764,
           6.941267223159665,
           7.116615311948832,
           7.280347202853799,
           7.432195642136475,
           7.571912772993894,
           7.699270540126074,
           7.814061061982549,
           7.916096970080037,
           8.00521171483734,
           8.081259837428297,
           8.144117207209055,
           8.193681224332096,
           8.229870987216316,
           8.2526274245998,
           8.261913391959736,
           8.257713732142104,
           8.240035300102152,
           8.208906951715303,
           8.164379496676727,
           8.106525615566495,
           8.03543974121565,
           7.95123790456686,
           7.854057545281233,
           7.744057287400454,
           7.621416680430412,
           7.486335906268931,
           7.339035452455976,
           7.179755752279687,
           7.0087567923257,
           6.82631768811027
          ],
          [
           -8.103156217864559,
           -8.197925310855677,
           -8.279313222136594,
           -8.347187105116427,
           -8.401436171671708,
           -8.44197187298189,
           -8.468728044064445,
           -8.4816610117736,
           -8.480749666086465,
           -8.465995494560168,
           -8.437422579903775,
           -8.395077560668927,
           -8.339029555123412,
           -8.26937004843186,
           -8.18621274332777,
           -8.089693374520593,
           -7.979969487140778,
           -7.857220179584486,
           -7.721645811177632,
           -7.573467675136502,
           -7.412927637358706,
           -7.240287741634081,
           -7.055829781919943,
           -6.8598548423788355,
           -6.652682805929574,
           -6.434651832113733,
           -6.206117805129871,
           -5.967453752936412,
           -5.719049238371391,
           -5.461309723282899,
           -5.194655906708131,
           -4.919523038181329,
           -4.6363602072914585,
           -4.345629610649252,
           -4.04780579746013,
           -3.7433748949344303,
           -3.4328338147992605,
           -3.1166894422071634,
           -2.795457808365539,
           -2.4696632482372576,
           -2.139837544687374,
           -1.8065190604728674,
           -1.4702518594922882,
           -1.1315848187296158,
           -0.7910707323418906,
           -0.44926540935298753,
           -0.10672676642633094,
           0.23598608280261812,
           0.5783137403476557,
           0.9196974369572568,
           1.2595799441737263,
           1.5974064838773943,
           1.9326256338311771,
           2.264690227747491,
           2.593058248408294,
           2.917193712380497,
           3.2365675448826607,
           3.5506584433749127,
           3.858953728462547,
           4.160950180724343,
           4.456154862099709,
           4.7440859204939585,
           5.024273376288303,
           5.296259889470889,
           5.559601506136593,
           5.8138683831372004,
           6.05864548969907,
           6.293533284863091,
           6.518148369641178,
           6.732124112824785,
           6.935111249423988,
           7.126778450760287,
           7.306812865282623,
           7.474920629223831,
           7.630827346263999,
           7.774278535417823,
           7.905040046414859,
           8.022898441894679,
           8.12766134579307,
           8.219157757350649,
           8.297238330231302,
           8.361775616294908,
           8.412664273626387,
           8.449821238481569,
           8.47318586086919,
           8.482720003547698,
           8.478408104275335,
           8.460257201211814,
           8.428296921430196,
           8.382579432557659,
           8.323179357624142,
           8.250193653257838,
           8.16374145142633,
           8.063963864981718,
           7.951023757327144,
           7.825105476580653,
           7.686414554670311,
           7.53517737185176,
           7.371640787195798,
           7.196071735649073
          ],
          [
           -8.190225775334431,
           -8.300856227532,
           -8.397937487547518,
           -8.481311093095513,
           -8.550840956407024,
           -8.60641358636082,
           -8.647938273730931,
           -8.675347239248083,
           -8.688595744233378,
           -8.687662163623664,
           -8.672548021269339,
           -8.64327798744704,
           -8.599899838591213,
           -8.542484379310356,
           -8.471125326815157,
           -8.38593915794725,
           -8.287064919058187,
           -8.174663999049049,
           -8.048919865941073,
           -7.910037767407332,
           -7.758244395754275,
           -7.593787517899928,
           -7.4169355709527816,
           -7.227977224051447,
           -7.027220907180302,
           -6.8149943077302,
           -6.591643835626007,
           -6.357534057894004,
           -6.113047103592118,
           -5.858582040074252,
           -5.594554221606843,
           -5.321394611400887,
           -5.039549078166023,
           -4.7494776683349045,
           -4.451653855145783,
           -4.146563765808994,
           -3.8347053880188184,
           -3.5165877571058757,
           -3.1927301251568907,
           -2.863661113457984,
           -2.529917849644966,
           -2.192045090969003,
           -1.8505943351087557,
           -1.5061229199803443,
           -1.1591931140145022,
           -0.8103711983858259,
           -0.46022654269217833,
           -0.10933067559295084,
           0.24174364807682602,
           0.5924233821938181,
           0.9421361247091626,
           1.2903110519599854,
           1.63637985040452,
           1.9797776442601036,
           2.3199439175297982,
           2.6563234289126942,
           2.9883671181045486,
           3.315533002009347,
           3.6372870593990516,
           3.953104102577429,
           4.262468634625225,
           4.564875690827471,
           4.859831662909373,
           5.1468551047355735,
           5.425477518157505,
           5.695244117726275,
           5.955714573022748,
           6.206463727393217,
           6.447082291917493,
           6.677177513476624,
           6.896373815829849,
           7.104313412654308,
           7.300656891546946,
           7.485083768035286,
           7.657293008692822,
           7.817003522505179,
           7.963954619684963,
           8.097906437186426,
           8.21864033022538,
           8.325959229165289,
           8.419687961187034,
           8.499673536217259,
           8.565785396648632,
           8.61791563044438,
           8.65597914727926,
           8.679913817429469,
           8.689680573184788,
           8.68526347261741,
           8.666669725603377,
           8.63392968205417,
           8.58709678237761,
           8.526247470249,
           8.451481067834818,
           8.362919613672693,
           8.260707663472239,
           8.145012054161914,
           8.01602163156704,
           7.873946942163479,
           7.719019889410131,
           7.551493355221145
          ],
          [
           -8.245172374682593,
           -8.371922305255685,
           -8.485007045017392,
           -8.584242009771836,
           -8.669465221817948,
           -8.740537574339907,
           -8.797343058466247,
           -8.839788952627014,
           -8.867805973899866,
           -8.881348391098147,
           -8.880394099416254,
           -8.864944656510536,
           -8.835025279956781,
           -8.790684806088468,
           -8.731995610282961,
           -8.659053488825748,
           -8.571977502545575,
           -8.470909782475708,
           -8.356015297858482,
           -8.227481586871898,
           -8.085518450517718,
           -7.930357610170759,
           -7.762252329348352,
           -7.581477000317296,
           -7.388326696213143,
           -7.183116689402814,
           -6.966181936876737,
           -6.737876533510473,
           -6.4985731340882555,
           -6.248662345031846,
           -5.988552086827571,
           -5.718666928192242,
           -5.439447393064737,
           -5.151349241554465,
           -4.85484272602035,
           -4.55041182349465,
           -4.238553445704474,
           -3.919776627980442,
           -3.594601698376451,
           -3.2635594283566984,
           -2.9271901664363202,
           -2.586042956189732,
           -2.24067464006635,
           -1.8916489504764822,
           -1.5395355896309717,
           -1.1849092996365567,
           -0.8283489243647917,
           -0.4704364646257915,
           -0.11175612818902358,
           0.24710662379824644,
           0.6055660324383316,
           0.963036997196544,
           1.3189360309399545,
           1.672682212342693,
           2.0236981341031397,
           2.371410845425306,
           2.715252787226052,
           3.054662718541544,
           3.3890866326209377,
           3.7179786612118617,
           4.040801965561729,
           4.357029612680556,
           4.666145435434889,
           4.967644875069086,
           5.261035804778576,
           5.545839332990959,
           5.82159058504366,
           6.087839461982291,
           6.34415137524117,
           6.59010795600675,
           6.825307738106163,
           7.049366813306147,
           7.261919457952806,
           7.462618729929308,
           7.651137034957145,
           7.827166661316634,
           7.990420282113786,
           8.140631424273783,
           8.277554903495485,
           8.400967224457037,
           8.510666945619343,
           8.6064750080319,
           8.688235027604364,
           8.755813550366732,
           8.809100270301506,
           8.84800820939228,
           8.872473859594859,
           8.882457286499179,
           8.877942194512832,
           8.858935953459765,
           8.825469586550792,
           8.777597719745511,
           8.715398492588287,
           8.638973430663857,
           8.54844727988073,
           8.443967802852892,
           8.325705537712137,
           8.193853519744742,
           8.048626966306863,
           7.890262925532866
          ],
          [
           -8.267637412788572,
           -8.410659738849827,
           -8.539953644365553,
           -8.655308087495522,
           -8.756534779287822,
           -8.84346849101623,
           -8.915967323877172,
           -8.973912940606102,
           -9.017210758635184,
           -9.045790104477078,
           -9.059604329082742,
           -9.058630883985021,
           -9.042871358103696,
           -9.012351475151965,
           -8.967121051648528,
           -8.90725391560386,
           -8.832847786013378,
           -8.744024113354204,
           -8.64092788134587,
           -8.523727370298557,
           -8.392613882435127,
           -8.247801429635324,
           -8.089526384111794,
           -7.918047092588127,
           -7.733643454608714,
           -7.536616465668663,
           -7.327287725909578,
           -7.105998915183086,
           -6.873111235338987,
           -6.629004820648316,
           -6.374078117323709,
           -6.1087472331498365,
           -5.833445258285465,
           -5.548621558345818,
           -5.254741040919064,
           -4.9522833967142095,
           -4.64174231657904,
           -4.323624685666097,
           -3.9984497560621057,
           -3.6667482992312648,
           -3.3290617396558804,
           -2.985941271088446,
           -2.6379469568577045,
           -2.285646815697211,
           -1.929615894588566,
           -1.5704353301326945,
           -1.2086913999812612,
           -0.8449745658765222,
           -0.47987850986163694,
           -0.11399916523459419,
           0.252066256172482,
           0.6177202388009733,
           0.9823659386691235,
           1.3454081575792516,
           1.706254314638574,
           2.064315413507895,
           2.4190070037993925,
           2.7697501350541556,
           3.1159723017424406,
           3.4571083777440585,
           3.792601538783616,
           4.121904171314989,
           4.444478766371393,
           4.759798796922171,
           5.067349577304091,
           5.36662910332447,
           5.65714887166473,
           5.938434677246976,
           6.210027387262082,
           6.471483690595824,
           6.72237682142984,
           6.962297255836273,
           7.19085338022912,
           7.407672130581147,
           7.6123996013630055,
           7.804701623210656,
           7.984264308378109,
           8.150794563085238,
           8.304020565924308,
           8.443692211544395,
           8.569581518889448,
           8.681483003323649,
           8.779214012036675,
           8.862615022181373,
           8.931549901257238,
           8.985906129314632,
           9.025594982617106,
           9.050551678461991,
           9.060735480922903,
           9.056129767341535,
           9.036742055460248,
           9.002603991151108,
           8.95377129676147,
           8.89032368016037,
           8.812364704634199,
           8.720021619844054,
           8.613445154120626,
           8.492809268435721,
           8.358310872451959,
           8.21016950311413
          ],
          [
           -8.257474273977117,
           -8.416815712585501,
           -8.562418682471531,
           -8.694045521089663,
           -8.811481378635984,
           -8.914534568739915,
           -9.003036881347047,
           -9.076843857282423,
           -9.13583502404611,
           -9.179914092456166,
           -9.209009113818059,
           -9.22307259736395,
           -9.222081587770184,
           -9.20603770262645,
           -9.174967129795442,
           -9.128920584667357,
           -9.067973227378946,
           -8.99222454013232,
           -8.901798164813675,
           -8.796841701177055,
           -8.677526465922515,
           -8.544047213061983,
           -8.396621816029205,
           -8.235490912052693,
           -8.060917509372155,
           -7.873186557939494,
           -7.672604484305149,
           -7.459498691448936,
           -7.234217024371827,
           -6.997127202320929,
           -6.74861621857444,
           -6.489089708766306,
           -6.218971288781603,
           -5.938701863303413,
           -5.648738906139792,
           -5.3495557135055645,
           -5.041640631477754,
           -4.7254962588856575,
           -4.4016386269366725,
           -4.07059635691692,
           -3.7329097973415353,
           -3.389130141963012,
           -3.0398185300772647,
           -2.685545130595925,
           -2.32688821137992,
           -1.9644331953534233,
           -1.5987717049388555,
           -1.23050059637266,
           -0.8602209854781067,
           -0.4885372664853249,
           -0.11605612550013134,
           0.25661444976813264,
           0.6288661624032739,
           1.0000913991836804,
           1.369684222367743,
           1.737041358744454,
           2.101563184334827,
           2.462654703136745,
           2.8197265183157816,
           3.17219579425667,
           3.5194872079051187,
           3.8610338878471855,
           4.196278339593279,
           4.524673355556604,
           4.845682908240596,
           5.158783025177555,
           5.463462644190246,
           5.759224447580486,
           6.045585673883153,
           6.322078905860509,
           6.588252833450753,
           6.843672990425347,
           7.087922463552797,
           7.320602573111272,
           7.541333523639318,
           7.749755023862495,
           7.94552687478397,
           8.128329524979259,
           8.297864592188631,
           8.45385535035585,
           8.596047181318271,
           8.724207990411005,
           8.83812858530678,
           8.937623017473122,
           9.022528885689548,
           9.092707601129273,
           9.148044613572836,
           9.188449598384343,
           9.21385660394515,
           9.224224159304347,
           9.21953534187032,
           9.199797805032878,
           9.165043765670925,
           9.115329951565965,
           9.050737508807382,
           8.971371869340569,
           8.877362578874097,
           8.768863085426883,
           8.64605048886045,
           8.509125251805107
          ],
          [
           -8.21474928688976,
           -8.390350050156679,
           -8.552255543660078,
           -8.700201494825338,
           -8.833946416741963,
           -8.953272002334057,
           -9.057983480695208,
           -9.147909935006108,
           -9.222904581515984,
           -9.282845009132489,
           -9.327633379228985,
           -9.357196585343036,
           -9.3714863725055,
           -9.370479416005379,
           -9.35417735946193,
           -9.32260681214184,
           -9.27581930552586,
           -9.213891209195815,
           -9.136923606179241,
           -9.045042127955167,
           -8.93839674939032,
           -8.81716154394048,
           -8.681534399516593,
           -8.531736695479351,
           -8.368012941289566,
           -8.190630377404059,
           -7.99987853906859,
           -7.796068783719768,
           -7.579533782767398,
           -7.350626978586778,
           -7.109722007607281,
           -6.857212090438919,
           -6.593509390032334,
           -6.319044338919882,
           -6.03426493663593,
           -5.739636018463159,
           -5.435638496698483,
           -5.122768575677012,
           -4.801536941835386,
           -4.47246793013648,
           -4.136098668216102,
           -3.792978199648667,
           -3.4436665877629196,
           -3.088734001470492,
           -2.7287597845994807,
           -2.3643315102521374,
           -1.9960440217302098,
           -1.6244984615933888,
           -1.250301290435701,
           -0.8740632969814626,
           -0.49639860111660106,
           -0.11792365148259809,
           0.2607437807306605,
           0.6389856101508398,
           1.0161844461018934,
           1.3917246003488828,
           1.7649930920639962,
           2.1353806483733035,
           2.5022826988512166,
           2.8651003623392595,
           3.2232414244784597,
           3.576121304359797,
           3.923164008714782,
           4.2638030720888,
           4.597482481462482,
           4.9236575838119885,
           5.24179597512675,
           5.551378369433571,
           5.851899446408668,
           6.14286867619402,
           6.4238111200718215,
           6.694268205690031,
           6.953798475573709,
           7.2019783077003465,
           7.438402606962995,
           7.66268546639262,
           7.874460797060284,
           8.073382925631098,
           8.259127158594492,
           8.43139031224987,
           8.589891207582594,
           8.73437112922246,
           8.864594247735603,
           8.98034800456048,
           9.08144345895965,
           9.167715596421022,
           9.239023598005147,
           9.295251070198985,
           9.336306234900881,
           9.3621220792267,
           9.372656464892565,
           9.36789219699569,
           9.347837052080996,
           9.312523765447736,
           9.262009977716836,
           9.196378140746162,
           9.11573538304728,
           9.020213334923397,
           8.909967913613919,
           8.78517906879627
          ],
          [
           -8.13974129159801,
           -8.331435476886574,
           -8.50953055657272,
           -8.673735832396515,
           -8.823783277930508,
           -8.959427976069732,
           -9.080448518801187,
           -9.18664736860025,
           -9.277851180864143,
           -9.353911086856174,
           -9.414702936698859,
           -9.460127502019361,
           -9.490110637916425,
           -9.504603403984465,
           -9.503582144197246,
           -9.48704852552077,
           -9.455029535192349,
           -9.407577436670298,
           -9.344769684326156,
           -9.266708797018664,
           -9.173522190755886,
           -9.065361970718595,
           -8.942404682984396,
           -8.804851026357849,
           -8.652925524776954,
           -8.486876160830718,
           -8.306973970986,
           -8.113512603184333,
           -7.90680783753084,
           -7.68719707085761,
           -7.455038766002852,
           -7.210711866704768,
           -6.954615179065175,
           -6.687166720592495,
           -6.408803037886661,
           -6.1199784940796285,
           -5.82116452719462,
           -5.512848880634606,
           -5.195534807056116,
           -4.869740246927834,
           -4.535996983114816,
           -4.194849772868228,
           -3.846855458637486,
           -3.4925820591561467,
           -3.1326078422851356,
           -2.767520381126704,
           -2.39791559494977,
           -2.024396776492103,
           -1.6475736072270553,
           -1.2680611622021913,
           -0.8864789060741953,
           -0.503449681978736,
           -0.11959869488580921,
           0.26444750890010904,
           0.64806206442928,
           1.0306188113160422,
           1.4114933157981466,
           1.7900638899777324,
           2.1657126065803842,
           2.537826307575818,
           2.9057976050138947,
           3.2690258724423864,
           3.626918225288123,
           3.9788904886014116,
           4.324368150583984,
           4.662787300344185,
           4.993595548348636,
           5.316252928068005,
           5.630232777345173,
           5.935022598047104,
           6.230124892597338,
           6.5150579760235425,
           6.789356762194779,
           7.052573522965031,
           7.304278618983908,
           7.5440612009816945,
           7.7715298803839605,
           7.986313368161223,
           8.188061080870806,
           8.37644371290171,
           8.551153773988455,
           8.71190609111648,
           8.858438273999926,
           8.990511143371934,
           9.107909121388476,
           9.21044058350838,
           9.297938171275252,
           9.370259065490734,
           9.427285219333191,
           9.46892355104134,
           9.495106095848296,
           9.505790116918043,
           9.500958175103243,
           9.480618157410547,
           9.444803264126907,
           9.393571954627934,
           9.327007851956733,
           9.245219606328991,
           9.148340717787102,
           9.036529318292782
          ],
          [
           -8.032939819783369,
           -8.240456492454264,
           -8.434522561280971,
           -8.61482125912641,
           -8.78105829084315,
           -8.932962313640909,
           -9.07028537998973,
           -9.192803342335925,
           -9.300316218970123,
           -9.392648520450313,
           -9.469649536047019,
           -9.531193579743046,
           -9.577180195386298,
           -9.60753432066079,
           -9.622206409608172,
           -9.621172513499857,
           -9.604434319927663,
           -9.572019150049227,
           -9.523979913992644,
           -9.460395024493145,
           -9.3813682689028,
           -9.28702863978209,
           -9.17753012434996,
           -9.05305145313596,
           -8.913795808244757,
           -8.759990491709214,
           -8.591886554473387,
           -8.409758386610989,
           -8.213903269448249,
           -8.004640890322172,
           -7.7823128207662915,
           -7.5472819589755975,
           -7.2999319374607445,
           -7.040666496858344,
           -6.769908826919499,
           -6.48810087575224,
           -6.19570262844535,
           -5.893191356251073,
           -5.581060837552251,
           -5.259820551885427,
           -4.929994848335543,
           -4.592122089659579,
           -4.246753773536198,
           -3.8944536323757046,
           -3.5357967131596997,
           -3.171368438812357,
           -2.801763652635423,
           -2.4275856473666675,
           -2.049445180446613,
           -1.6679594771009034,
           -1.2837512228655474,
           -0.8974475471994626,
           -0.5096789998434015,
           -0.12107852159602661,
           0.26771958881281255,
           0.6560807100653137,
           1.0433709341255353,
           1.428958100944894,
           1.8122128303145373,
           2.192509549180249,
           2.569227512743065,
           2.941751817678947,
           3.3094744058235595,
           3.6717950566840027,
           4.0281223671573265,
           4.377874716856797,
           4.72048121747014,
           5.055382644600202,
           5.38203235056706,
           5.699897156681539,
           6.008458223533843,
           6.307211897876629,
           6.595670534720296,
           6.873363293298543,
           7.139836905604978,
           7.394656416246379,
           7.637405892404874,
           7.8676891027502975,
           8.085130164194483,
           8.289374155431835,
           8.48008769626477,
           8.65695949176832,
           8.819700840405787,
           8.968046105265955,
           9.101753147652797,
           9.220603722319833,
           9.324403833704075,
           9.41298405257809,
           9.486199792603294,
           9.54393154633309,
           9.586085080280606,
           9.612591588732682,
           9.623407806058975,
           9.618516077332899,
           9.597924387149153,
           9.561666346590744,
           9.509801138366804,
           9.442413420210762,
           9.359613186696555,
           9.261535589698376
          ],
          [
           -7.895041899861017,
           -8.118006861498532,
           -8.32772108946633,
           -8.5238422746941,
           -8.706050295551401,
           -8.874047740370804,
           -9.027560392902375,
           -9.166337679907102,
           -9.290153080158667,
           -9.39880449418599,
           -9.492114574152998,
           -9.569931013337186,
           -9.63212679473446,
           -9.678600398384475,
           -9.709275967078046,
           -9.72410343017618,
           -9.723058585338588,
           -9.706143138028315,
           -9.67338469872796,
           -9.624836737872076,
           -9.560578498569289,
           -9.480714867256573,
           -9.385376202496875,
           -9.274718122199456,
           -9.148921249610323,
           -9.008190918487328,
           -8.85275683794119,
           -8.682872717489488,
           -8.498815852935637,
           -8.300886673748831,
           -8.0894082526837,
           -7.864725778440163,
           -7.6272059922241855,
           -7.377236589129175,
           -7.115225585315072,
           -6.841600652018089,
           -6.55680841747819,
           -6.261313737923686,
           -5.955598938802982,
           -5.640163027501896,
           -5.315520878831681,
           -4.982202394617174,
           -4.640751638756926,
           -4.291725949167059,
           -3.935695028058414,
           -3.573240012031917,
           -3.204952523509989,
           -2.8314337050523224,
           -2.453293238132268,
           -2.0711483479754698,
           -1.6856227960851078,
           -1.2973458620981768,
           -0.9069513166347556,
           -0.5150763868167554,
           -0.12236071614478194,
           0.2705546795691758,
           0.6630284585090658,
           1.0544199996941632,
           1.4440904486419242,
           1.8314037601474082,
           2.2157277364772154,
           2.596435059283376,
           2.9729043135527284,
           3.3445210019205613,
           3.7106785476927615,
           4.070779284939387,
           4.4242354340434815,
           4.770470061112814,
           5.108918019688563,
           5.439026873213736,
           5.760257796755729,
           6.0720864565110615,
           6.3740038656568,
           6.665517215151628,
           6.946150678130495,
           7.215446186579891,
           7.472964179025944,
           7.718284318014982,
           7.951006176215396,
           8.17074989002091,
           8.377156779588447,
           8.569889934298446,
           8.748634762682101,
           8.913099505917796,
           9.063015714058658,
           9.198138684213855,
           9.318247859968398,
           9.423147191389546,
           9.512665455032117,
           9.586656533420445,
           9.64499965355071,
           9.687599584024431,
           9.714386790491282,
           9.72531754914754,
           9.720374018104884,
           9.699564266513097,
           9.66292226138905,
           9.610507812173573,
           9.542406473106626,
           9.458729403580147
          ],
          [
           -7.726947507898206,
           -7.964885738476286,
           -8.189823169543978,
           -8.401392643738369,
           -8.59924882373676,
           -8.783068755938494,
           -8.952552397610624,
           -9.107423106636997,
           -9.24742809307131,
           -9.372338831757167,
           -9.481951435341543,
           -9.576086987072863,
           -9.654591832840438,
           -9.717337831978615,
           -9.764222566426207,
           -9.795169507899866,
           -9.810128142808463,
           -9.809074054704638,
           -9.792008964138883,
           -9.758960725851164,
           -9.709983283304604,
           -9.645156580635504,
           -9.564586432163363,
           -9.468404349673941,
           -9.356767327757238,
           -9.229857587550825,
           -9.087882279306758,
           -8.9310731442676,
           -8.75968613640344,
           -8.574001004627329,
           -8.37432083617109,
           -8.160971561866821,
           -7.934301424141595,
           -7.69468040859374,
           -7.442499640078513,
           -7.17817074428892,
           -6.902125175873761,
           -6.614813514189536,
           -6.316704727835822,
           -6.008285409174509,
           -5.690058980082411,
           -5.362544870233643,
           -5.026277669253064,
           -4.681806254124654,
           -4.329692893279143,
           -3.970512328823271,
           -3.6048508384087032,
           -3.2333052782718825,
           -2.856482109006835,
           -2.4749964056611247,
           -2.0894708537707625,
           -1.7005347329727432,
           -1.308822889854316,
           -0.9149747017154696,
           -0.519633032936136,
           -0.12344318565155299,
           0.2729481535514713,
           0.6688939691980255,
           1.0637479730254542,
           1.4568656588966775,
           1.847605354804602,
           2.2353292702505354,
           2.619404537286879,
           2.9992042435249906,
           3.3741084554219305,
           3.7435052301759457,
           4.106791614578916,
           4.463374629195403,
           4.812672236261903,
           5.154114289726348,
           5.4871434658772325,
           5.811216173043258,
           6.125803438878686,
           6.430391773786061,
           6.724484009066998,
           7.007600108432976,
           7.279277951551459,
           7.539074088348494,
           7.786564462836465,
           8.021345105285594,
           8.243032791609359,
           8.45126566888752,
           8.645703846005777,
           8.826029948447921,
           8.991949636334972,
           9.143192084865694,
           9.279510426374259,
           9.400682153283567,
           9.50650948129644,
           9.596819672231902,
           9.671465315979534,
           9.730324571111787,
           9.773301363761387,
           9.80032554443929,
           9.811353002537196,
           9.806365738327738,
           9.78537189234478,
           9.748405732095925,
           9.695527596128873,
           9.62682379554296
          ],
          [
           -7.529753694016433,
           -7.782092452066213,
           -8.021728777581165,
           -8.248271520716122,
           -8.461350903814408,
           -8.660619124982762,
           -8.845750925795983,
           -9.016444122204687,
           -9.172420097779561,
           -9.31342425848706,
           -9.439226448254185,
           -9.54962132464404,
           -9.644428694028983,
           -9.723493805714291,
           -9.786687604532187,
           -9.833906941494007,
           -9.865074742156626,
           -9.880140132428323,
           -9.87907852160876,
           -9.861891642527489,
           -9.82860754871553,
           -9.779280568614592,
           -9.71399121689868,
           -9.632846063052872,
           -9.535977557423728,
           -9.423543815025308,
           -9.295728357453672,
           -9.152739813331099,
           -8.99481157776901,
           -8.822201431405444,
           -8.635191119638895,
           -8.43408589274532,
           -8.219214007628985,
           -7.9909261920204,
           -7.749595071995925,
           -7.495614563753487,
           -7.2293992306372035,
           -6.95138360646037,
           -6.662021486231396,
           -6.361785185440361,
           -6.051164769115253,
           -5.730667251906259,
           -5.400815770503797,
           -5.062148729741125,
           -4.715218923775282,
           -4.360592633780867,
           -3.9988487036294345,
           -3.630577595063239,
           -3.256380423905551,
           -2.876867978880687,
           -2.4926597246453315,
           -2.1043827906584003,
           -1.712670947539973,
           -1.3181635725900382,
           -0.9215046061556986,
           -0.5233415005502694,
           -0.12432416323988504,
           0.27489610397729447,
           0.6736676680678578,
           1.0713396284005374,
           1.4672628791881306,
           1.8607911689998025,
           2.251282155614263,
           2.6380984544921477,
           3.0206086791560787,
           3.3981884717803723,
           3.7702215223080824,
           4.1361005744319606,
           4.495228416797337,
           4.847018857808935,
           5.190897682450572,
           5.5263035895558685,
           5.852689108000187,
           6.169521490318257,
           6.476283582288884,
           6.772474667067408,
           7.0576112824879615,
           7.331228010201578,
           7.59287823536198,
           7.842134875619104,
           8.078591078230428,
           8.301860884152203,
           8.511579858026689,
           8.707405683036995,
           8.889018719658647,
           9.05612252739582,
           9.208444348650572,
           9.345735553935405,
           9.4677720477023,
           9.574354634125921,
           9.665309342243857,
           9.740487709923244,
           9.799767026190212,
           9.843050531526645,
           9.8702675758073,
           9.881373733619487,
           9.876350876777092,
           9.855207203910567,
           9.817977227084604,
           9.764721715465312
          ],
          [
           -7.3047474226108395,
           -7.570819983156761,
           -7.824534963699396,
           -8.06547823430605,
           -8.293256511851597,
           -8.507498001960514,
           -8.707853005873632,
           -8.893994491248957,
           -9.06561862596492,
           -9.222445274054753,
           -9.364218452962437,
           -9.490706751373935,
           -9.601703706941628,
           -9.697028143285468,
           -9.77652446572073,
           -9.840062915229682,
           -9.887539780262603,
           -9.918877566022463,
           -9.934025120956921,
           -9.932957720251173,
           -9.915677106185402,
           -9.882211485290913,
           -9.832615482309606,
           -9.766970051031958,
           -9.685382342159041,
           -9.58798552840424,
           -9.47493858712016,
           -9.346426040805582,
           -9.202657655915921,
           -9.043868100468938,
           -8.870316561004461,
           -8.682286319523433,
           -8.480084291096787,
           -8.264040522898895,
           -8.034507655483312,
           -7.791860347180144,
           -7.536494662554613,
           -7.268827425924933,
           -6.989295540994835,
           -6.69835527771119,
           -6.396481527510822,
           -6.084167028172106,
           -5.761921559536636,
           -5.430271111413736,
           -5.08975702502601,
           -4.740935109397335,
           -4.384374734125569,
           -4.020657900020831,
           -3.6503782891262775,
           -3.274140295672039,
           -2.8925580395440433,
           -2.506254363877958,
           -2.1158598184145374,
           -1.722011630275691,
           -1.3253526638413513,
           -0.9265303714248336,
           -0.5261957364594432,
           -0.1250022109214175,
           0.2763953512765057,
           0.6773417631798109,
           1.077182574230538,
           1.4752651385036668,
           1.8709396799977958,
           2.2635603532414192,
           2.6524862974834678,
           3.037082682747534,
           3.416721746042235,
           3.7907838160363907,
           4.158658324526508,
           4.519744803045495,
           4.873453862986008,
           5.219208157638459,
           5.55644332457353,
           5.88460890683087,
           6.2031692514103876,
           6.511604383599606,
           6.809410855709849,
           7.096102568836011,
           7.371211566298485,
           7.634288797472189,
           7.8849048507559445,
           8.122650654485716,
           8.34713814464776,
           8.558000898301678,
           8.754894731679562,
           8.937498261984894,
           9.105513431974249,
           9.258665996465531,
           9.396705969978616,
           9.519408034777761,
           9.626571908649717,
           9.718022671817263,
           9.793611052454533,
           9.8532136703381,
           9.896733238236123,
           9.924098720706844,
           9.935265450047197,
           9.930215199202316,
           9.908956211516914,
           9.871523187279951
          ],
          [
           -7.053397173114329,
           -7.33244717898358,
           -7.599528692293801,
           -7.854205765396598,
           -8.096062697969828,
           -8.324704715550446,
           -8.53975861391082,
           -8.74087336822671,
           -8.92772070604257,
           -9.099995643099021,
           -9.257416981147795,
           -9.399727766941623,
           -9.526695711649879,
           -9.638113570015364,
           -9.733799478633374,
           -9.813597252800859,
           -9.877376641451148,
           -9.92503353975814,
           -9.956490159062898,
           -9.971695153845312,
           -9.970623705533566,
           -9.953277563014598,
           -9.91968503977948,
           -9.869900967708281,
           -9.804006607569967,
           -9.722109516383323,
           -9.624343371855476,
           -9.51086775418451,
           -9.381867885582409,
           -9.237554327943421,
           -9.078162639151374,
           -8.903952988586926,
           -8.715209732462354,
           -8.512240949677008,
           -8.295377938951113,
           -8.06497467805864,
           -7.821407246042,
           -7.565073209351589,
           -7.296390972912244,
           -7.015799097175753,
           -6.723755582274262,
           -6.420737120442936,
           -6.107238317932206,
           -5.783770887679584,
           -5.4508628140588495,
           -5.109057491069946,
           -4.758912835376298,
           -4.401000375637299,
           -4.035904319622413,
           -3.6642206006296316,
           -3.2865559047647697,
           -2.9035266806693105,
           -2.5157581333132493,
           -2.1238832034952493,
           -1.7285415347159154,
           -1.3303784291104863,
           -0.9300437941450959,
           -0.5281910817959818,
           -0.12547622194305236,
           0.27744344828109896,
           0.679910257439186,
           1.08126727328294,
           1.4808593750402035,
           1.8780343227452838,
           2.272143821867,
           2.662544581496805,
           3.0485993643696236,
           3.4296780270035523,
           3.8051585482606596,
           4.174428044649926,
           4.536883770715178,
           4.89193410287502,
           5.238999505108966,
           5.577513474913461,
           5.906923467983731,
           6.226691800112219,
           6.536296524831354,
           6.8352322853682095,
           7.123011139520373,
           7.399163356106625,
           7.663238181692449,
           7.914804576338803,
           8.153451917173278,
           8.37879066863519,
           8.590453018300632,
           8.788093477249578,
           8.971389443995161,
           9.140041731054605,
           9.293775053302294,
           9.432338477307887,
           9.555505830926032,
           9.663076072469103,
           9.754873618860394,
           9.830748632232122,
           9.890577264500447,
           9.934261859518298,
           9.96173111247602,
           9.972940186289673,
           9.967870784787017,
           9.9465311825717
          ],
          [
           -6.777343356123163,
           -7.068529754230108,
           -7.348178442797287,
           -7.615832961223414,
           -7.87105642656423,
           -8.11343224664099,
           -8.342564800029049,
           -8.558080081816637,
           -8.759626314079757,
           -8.946874520076772,
           -9.119519061225443,
           -9.277278135985892,
           -9.419894239835235,
           -9.547134585583052,
           -9.658791483341624,
           -9.754682679530752,
           -9.834651654363793,
           -9.898567877329317,
           -9.946327020251443,
           -9.977851127580989,
           -9.993088743639543,
           -9.99201499660874,
           -9.97463163912764,
           -9.940967045431968,
           -9.891076165039841,
           -9.825040433059648,
           -9.742967637266403,
           -9.644991742163597,
           -9.531272670317726,
           -9.401996041322352,
           -9.257372868817864,
           -9.097639216061413,
           -8.92305581060927,
           -8.733907618740506,
           -8.53050338031668,
           -8.313175104836755,
           -8.082277529509804,
           -7.838187540230089,
           -7.581303556399634,
           -7.312044880602414,
           -7.030851014191675,
           -6.738180939907503,
           -6.434512372695648,
           -6.120340979950417,
           -5.796179572454423,
           -5.462557267335797,
           -5.120018624409141,
           -4.769122757309914,
           -4.410442420873146,
           -4.044563076246103,
           -3.6720819352609095,
           -3.293606985626907,
           -2.9097559985339805,
           -2.521155520286605,
           -2.1284398496146317,
           -1.7322500023300489,
           -1.3332326650196644,
           -0.932039139481639,
           -0.5293242796287094,
           -0.12574542259346977,
           0.2780386842196234,
           0.6813689583842237,
           1.0835870582488472,
           1.4840364575245526,
           1.8820635169094035,
           2.277018551000665,
           2.6682568887531524,
           3.0551399257528193,
           3.4370361665880447,
           3.8133222556170834,
           4.183383994449327,
           4.546617344479447,
           4.902429412838132,
           5.2502394201500175,
           5.589479648519164,
           5.9195963681948065,
           6.240050741404693,
           6.55031970188082,
           6.849896808641875,
           7.13829307263882,
           7.415037754914334,
           7.6796791349732345,
           7.9317852481097795,
           8.170944590488276,
           8.396766790826147,
           8.60888324758309,
           8.80694773061623,
           8.99063694631929,
           9.159651065323205,
           9.313714211896961,
           9.452574914249709,
           9.576006514999229,
           9.683807541136709,
           9.77580203288396,
           9.851839830906307,
           9.91179682141232,
           9.955575138740343,
           9.983103325101126,
           9.994336447215842,
           9.989256169659058
          ],
          [
           -6.478387607432188,
           -6.7807901378216195,
           -7.072124625806126,
           -7.351915536469946,
           -7.6197061770677195,
           -7.875059442467808,
           -8.117558528623455,
           -8.346807612907185,
           -8.562432500197987,
           -8.764081233666705,
           -8.951424669262632,
           -9.124157012963646,
           -9.281996319912885,
           -9.424684954627322,
           -9.551990011526984,
           -9.663703695098445,
           -9.759643659072044,
           -9.839653304059212,
           -9.903602033164088,
           -9.951385465152166,
           -9.982925604828088,
           -9.998170970344415,
           -9.99709667723362,
           -9.979704479026108,
           -9.946022764388003,
           -9.896106510783333,
           -9.830037194736276,
           -9.747922658839922,
           -9.649896935728652,
           -9.53612002930144,
           -9.406777653553178,
           -9.26208092944034,
           -9.102266040275756,
           -8.92759384621499,
           -8.738349458463595,
           -8.53484177390025,
           -8.31740297087537,
           -8.0863879670082,
           -7.842173839867435,
           -7.58515921148091,
           -7.315763597679061,
           -7.0344267233341595,
           -6.741607804613056,
           -6.43778479941498,
           -6.123453627217863,
           -5.7991273596066275,
           -5.46533538280471,
           -5.122622533575761,
           -4.771548209905985,
           -4.412685457918714,
           -4.046620036511639,
           -3.6739494612433745,
           -3.295282029030116,
           -2.911235825244198,
           -2.5224377148353585,
           -2.129522319121401,
           -1.7331309799183765,
           -1.333910712701197,
           -0.9325131505032738,
           -0.5295934802791225,
           -0.12580937346602927,
           0.2781800875096595,
           0.681715485029289,
           1.0841381426258407,
           1.4847912001180514,
           1.8830206857799385,
           2.2781765837955597,
           2.669613895256684,
           3.056693690971577,
           3.438784154366355,
           3.815261612776716,
           4.185511555446608,
           4.548929636572286,
           4.904922661754449,
           5.2529095562483334,
           5.592322313431367,
           5.92260692194013,
           6.24322426996341,
           6.553651025215217,
           6.853380489151433,
           7.141923424035839,
           7.418808851505432,
           7.683584821331667,
           7.935819149122709,
           8.175100121762652,
           8.401037169436176,
           8.613261503141747,
           8.811426716652802,
           8.995209351944276,
           9.164309427161646,
           9.318450926270621,
           9.457382249588303,
           9.580876624460387,
           9.688732475414085,
           9.780773753182622,
           9.856850222064159,
           9.916837705146204,
           9.960638286995149,
           9.988180473480163,
           9.999419308470511
          ],
          [
           -6.158481029850922,
           -6.47110623167652,
           -6.773168877115146,
           -7.064175920061453,
           -7.343652360076554,
           -7.611142017714336,
           -7.86620827912694,
           -8.108434808734001,
           -8.337426228792392,
           -8.552808764757248,
           -8.754230855380861,
           -8.941363726553574,
           -9.11390192795007,
           -9.271563831605073,
           -9.414092091604632,
           -9.541254064142713,
           -9.6528421872574,
           -9.7486743196269,
           -9.828594037872337,
           -9.89247089188206,
           -9.940200617740732,
           -9.971705307915592,
           -9.986933538422164,
           -9.985860452761784,
           -9.968487802493982,
           -9.934843944377473,
           -9.884983794084437,
           -9.818988736563607,
           -9.736966493198526,
           -9.639050945977763,
           -9.525401918964103,
           -9.39620491741943,
           -9.251670825011072,
           -9.09203555959392,
           -8.917559688130083,
           -8.728528001374734,
           -8.525249049022285,
           -8.308054636071699,
           -8.077299281233003,
           -7.833359638259024,
           -7.576633881146867,
           -7.307541054212659,
           -7.0265203881004465,
           -6.7340305828416405,
           -6.430549059135275,
           -6.116571179071194,
           -5.792609437568153,
           -5.459192625846596,
           -5.116864968301558,
           -4.766185234184565,
           -4.407725825544481,
           -4.042071842915989,
           -3.6698201302808484,
           -3.291578300860669,
           -2.9079637453314984,
           -2.5196026240789973,
           -2.1271288451391075,
           -1.7311830294925534,
           -1.33241146540199,
           -0.931465053498685,
           -0.528998244340598,
           -0.12566797017599762,
           0.27786742734363185,
           0.680949271751272,
           1.0829196268984889,
           1.483122370881222,
           1.8809042670042035,
           2.2756160300359527,
           2.6666133860139807,
           3.053258123870215,
           3.4349191371602443,
           3.8109734541958753,
           4.18080725489967,
           4.543816872721606,
           4.8994097799824825,
           5.247005555035795,
           5.586036829669296,
           5.915950215199968,
           6.236207205750651,
           6.54628505723402,
           6.845677640609178,
           7.1338962680180416,
           7.410470490453168,
           7.674948865654905,
           7.926899694984537,
           8.165911728070608,
           8.39159483407825,
           8.603580638505886,
           8.80152312446979,
           8.985099197495156,
           9.15400921289169,
           9.307977464852986,
           9.446752636481298,
           9.57010821000316,
           9.677842836506297,
           9.769780664594284,
           9.845771627422517,
           9.905691687646987,
           9.949443039886024,
           9.976954270364534
          ],
          [
           -5.819711459539203,
           -6.14149915477979,
           -6.4532622995338835,
           -6.754492013916358,
           -7.044696611385579,
           -7.323402401305848,
           -7.590154462135779,
           -7.844517383980532,
           -8.08607597929588,
           -8.314435960584067,
           -8.529224583975267,
           -8.730091257644121,
           -8.916708114068303,
           -9.088770545195002,
           -9.24599769964182,
           -9.388132941120464,
           -9.51494426733505,
           -9.62622468867117,
           -9.721792566057697,
           -9.801491907449751,
           -9.865192622448982,
           -9.912790734645487,
           -9.944208551334807,
           -9.959394790332961,
           -9.958324663682525,
           -9.94099991811315,
           -9.907448832190415,
           -9.857726170157747,
           -9.791913092546686,
           -9.710117023701446,
           -9.612471476433978,
           -9.499135834095753,
           -9.370295090421997,
           -9.226159547573006,
           -9.0669644728654,
           -8.892969714753665,
           -8.704459278688773,
           -8.501740863546182,
           -8.285145359379918,
           -8.05502630732252,
           -7.811759322512431,
           -7.555741480990771,
           -7.287390671568248,
           -7.007144913720136,
           -6.715461642622662,
           -6.4128169624978515,
           -6.099704869485562,
           -5.7766364453111585,
           -5.444139023064997,
           -5.102755326455395,
           -4.75304258394005,
           -4.395571619181838,
           -4.030925919313687,
           -3.6597006825332805,
           -3.2825018465822273,
           -2.899945099695465,
           -2.512654875635243,
           -2.1212633344501457,
           -1.7264093306227166,
           -1.328737370290037,
           -0.9288965592393098,
           -0.5275395433955556,
           -0.12532144353093244,
           0.27710121406561933,
           0.6790715692128362,
           1.0799335000066579,
           1.4790326937846454,
           1.8757177151372408,
           2.2693410692226283,
           2.6592602586494882,
           3.044838832202652,
           3.4254474236997394,
           3.8004647792832023,
           4.169278771470877,
           4.531287398309871,
           4.8858997660029555,
           5.232537053403449,
           5.570633456804398,
           5.8996371134798204,
           6.21901100247058,
           6.528233821144614,
           6.826800836100633,
           7.114224707026511,
           7.390036282167518,
           7.6537853641060405,
           7.905041444602805,
           8.143394407300137,
           8.368455197140321,
           8.579856455406295,
           8.777253119348243,
           8.960322985417207,
           9.128767235186498,
           9.282310923102369,
           9.420703425267845,
           9.54371884852721,
           9.651156399183359,
           9.742840710746194,
           9.818622130177113,
           9.878376962162339,
           9.922007671016372
          ],
          [
           -5.464289839967131,
           -5.794120052565458,
           -6.114492729222165,
           -6.424884937019628,
           -6.724790033804316,
           -7.013718495160752,
           -7.291198713444802,
           -7.556777767572044,
           -7.810022162304717,
           -8.050518535830598,
           -8.277874334478755,
           -8.49171845347094,
           -8.691701842662708,
           -8.87749807628555,
           -9.048803885760051,
           -9.205339654710397,
           -9.34684987537224,
           -9.473103565648923,
           -9.583894646135345,
           -9.67904227649402,
           -9.758391150634342,
           -9.821811750213179,
           -9.869200556043058,
           -9.900480217062857,
           -9.91559967659517,
           -9.914534255684327,
           -9.897285693378961,
           -9.863882143893424,
           -9.814378130652665,
           -9.748854457295586,
           -9.66741807578214,
           -9.570201911819439,
           -9.457364647891872,
           -9.32909046424933,
           -9.185588738276325,
           -9.027093702732751,
           -8.853864063424087,
           -8.66618257692511,
           -8.464355589046406,
           -8.248712534797003,
           -8.019605400659346,
           -7.777408150054266,
           -7.522516112933815,
           -7.255345340498248,
           -6.976331926090463,
           -6.685931293376347,
           -6.384617452972949,
           -6.072882228737815,
           -5.751234454982406,
           -5.420199145919959,
           -5.08031663870349,
           -4.732141711452667,
           -4.376242677709256,
           -4.013200458799128,
           -3.6436076356150657,
           -3.2680674813680763,
           -2.887192976885972,
           -2.501605810066613,
           -2.1119353611188525,
           -1.7188176752476292,
           -1.3228944244600365,
           -0.9248118601869078,
           -0.5252197584296444,
           -0.12477035915393875,
           0.27588269833827195,
           0.6760854423210052,
           1.0751846360989927,
           1.4725288442626765,
           1.8674694960030702,
           2.2593619437507764,
           2.6475665154113,
           3.031449558479013,
           3.41038447432561,
           3.783752740974742,
           4.150944922693403,
           4.511361664752227,
           4.864414671730838,
           5.209527667771559,
           5.546137337213972,
           5.873694244075011,
           6.191663728873785,
           6.4995267813371935,
           6.796780887561948,
           7.082940850250109,
           7.357539580679384,
           7.620128861115418,
           7.870280076421642,
           8.107584913672518,
           8.331656028628183,
           8.542127677982677,
           8.738656316353712,
           8.920921157039585,
           9.088624695627885,
           9.241493195601358,
           9.379277135148282,
           9.501751614448043,
           9.608716722767106,
           9.699997864766189,
           9.775446045486017,
           9.834938113546498
          ],
          [
           -5.094535792428325,
           -5.431236057695358,
           -5.7590711096500895,
           -6.077505834805291,
           -6.386020463492594,
           -6.684111418264019,
           -6.971292135863537,
           -7.247093861426945,
           -7.511066413613738,
           -7.762778919422106,
           -8.001820517487591,
           -8.227801028717469,
           -8.440351593166193,
           -8.639125272112366,
           -8.823797614354454,
           -8.99406718580094,
           -9.149656061490468,
           -9.290310279238852,
           -9.415800254172533,
           -9.52592115347177,
           -9.62049323071199,
           -9.699362119257447,
           -9.762399084228417,
           -9.809501232630545,
           -9.840591681303419,
           -9.855619682414222,
           -9.854560706291604,
           -9.8374164814646,
           -9.80421499184121,
           -9.755010431031263,
           -9.689883113888119,
           -9.608939345413578,
           -9.512311247240033,
           -9.400156541973015,
           -9.272658295746199,
           -9.130024619409074,
           -8.972488328835015,
           -8.800306564904197,
           -8.613760373781721,
           -8.413154248175934,
           -8.198815630325834,
           -7.971094377528751,
           -7.73036219108073,
           -7.477012009561746,
           -7.211457367456031,
           -6.934131720154463,
           -6.645487736440755,
           -6.345996559616314,
           -6.036147038469796,
           -5.716444929346618,
           -5.387412070620902,
           -5.049585530917234,
           -4.7035167324727,
           -4.349770551069962,
           -3.9889243940106383,
           -3.6215672576339273,
           -3.2482987659188147,
           -2.8697281917392283,
           -2.486473462369585,
           -2.0991601508641007,
           -1.7084204549561761,
           -1.3148921651445042,
           -0.9192176236503754,
           -0.5220426759452951,
           -0.12401561656044435,
           0.27421386910144263,
           0.6719957652244241,
           1.0686807865770194,
           1.463621438317413,
           1.8561730728762076,
           2.245694942191738,
           2.631551243580297,
           3.0131121575342537,
           3.3897548757540106,
           3.760864617735807,
           4.125835634256087,
           4.484072196114366,
           4.834989566520827,
           5.178014955541357,
           5.512588455042168,
           5.838163952607934,
           6.15421002294162,
           6.460210795291115,
           6.755666795486666,
           7.0400957612148165,
           7.313033429198006,
           7.574034292994981,
           7.822672330185128,
           8.058541697749684,
           8.281257394514872,
           8.490455889575596,
           8.685795715674017,
           8.866958026564388,
           9.03364711745444,
           9.185590907673795,
           9.322541384781555,
           9.444275009388175,
           9.550593080030872,
           9.641322057506928,
           9.716313848135572
          ],
          [
           -4.712862477278955,
           -5.055215493859626,
           -5.389317062111287,
           -5.7146218399351945,
           -6.030598843920522,
           -6.336732316049686,
           -6.6325225655518185,
           -6.917486784530215,
           -7.191159836032477,
           -7.453095013277011,
           -7.702864768796614,
           -7.94006141230898,
           -8.164297776175031,
           -8.375207847358897,
           -8.572447364857943,
           -8.755694381627759,
           -8.924649790084873,
           -9.0790378103294,
           -9.218606440290763,
           -9.343127867061703,
           -9.452398838749177,
           -9.5462409962352,
           -9.624501164306064,
           -9.687051601674815,
           -9.73379020948878,
           -9.764640697981912,
           -9.779552710999855,
           -9.778501908194496,
           -9.761490004753853,
           -9.72854476860244,
           -9.679719975076662,
           -9.615095319149255,
           -9.534776285346013,
           -9.438893975567154,
           -9.32760489509436,
           -9.20109069713276,
           -9.059557886304887,
           -8.903237481580522,
           -8.732384639192645,
           -8.54727823615502,
           -8.34822041506115,
           -8.135536090907681,
           -7.909572420747217,
           -7.670698237036229,
           -7.419303445602946,
           -7.155798389217956,
           -6.88061317780632,
           -6.594196986394426,
           -6.297017321937597,
           -5.989559260225115,
           -5.672324654108289,
           -5.345831314343891,
           -5.010612164390109,
           -4.667214370534524,
           -4.316198448774078,
           -3.9581373499047565,
           -3.5936155243143837,
           -3.223227968005076,
           -2.847579251402424,
           -2.467282532536712,
           -2.082958556206905,
           -1.6952346407609717,
           -1.304743654146511,
           -0.9121229809028873,
           -0.518013481781171,
           -0.12305844768990926,
           0.2720974503257121,
           0.6668092133574612,
           1.0604325674428488,
           1.452325015190555,
           1.841846884506085,
           2.2283623727057322,
           2.6112405843146957,
           2.9898565608552987,
           3.363592300944455,
           3.731837769035361,
           4.093991891156774,
           4.449463536024691,
           4.7976724799248895,
           5.13805035379144,
           5.470041570935322,
           5.793104233908782,
           6.106711019025267,
           6.410350037091097,
           6.703525668943987,
           6.985759374434567,
           7.256590473530418,
           7.515576898267719,
           7.762295914323027,
           7.996344811027486,
           8.217341558697102,
           8.424925432206214,
           8.618757599786276,
           8.798521676088875,
           8.963924238610302,
           9.11469530663464,
           9.250588781913692,
           9.371382850364384,
           9.476880344127999,
           9.566909063400256
          ],
          [
           -4.32176084470402,
           -4.6685124191646885,
           -5.0076437469619135,
           -5.338601276099459,
           -5.660844796381716,
           -5.973848321179586,
           -6.2771009459797416,
           -6.570107682315879,
           -6.852390265720754,
           -7.123487936380277,
           -7.382958191215348,
           -7.630377506163882,
           -7.865342027484052,
           -8.087468230950405,
           -8.296393547866778,
           -8.491776956874286,
           -8.673299540588358,
           -8.840665006156215,
           -8.993600168885166,
           -9.131855398152247,
           -9.255205024867404,
           -9.363447709825127,
           -9.456406772343254,
           -9.533930478652566,
           -9.595892289566427,
           -9.64219106702618,
           -9.672751239185214,
           -9.687522923762184,
           -9.686482009462104,
           -9.669630195332335,
           -9.636994987989306,
           -9.588629656720432,
           -9.524613146534556,
           -9.445049949302831,
           -9.350069933200338,
           -9.2398281307269,
           -9.11450448565305,
           -8.974303559304207,
           -8.819454196662521,
           -8.650209152831344,
           -8.466844680472077,
           -8.26966007888677,
           -8.058977205482535,
           -7.83513995041516,
           -7.598513675269434,
           -7.3494846166924415,
           -7.088459255953236,
           -6.815863655457925,
           -6.532142763303167,
           -6.23775968700323,
           -5.9331949375760935,
           -5.61894564522239,
           -5.295524747877499,
           -4.963460153961185,
           -4.623293880691491,
           -4.275581169369324,
           -3.9208895790778264,
           -3.55979806027591,
           -3.192896009797997,
           -2.820782308802563,
           -2.4440643452397475,
           -2.063357022433587,
           -1.6792817553972434,
           -1.2924654565193592,
           -0.9035395122773107,
           -0.5131387526475057,
           -0.1219004148950189,
           0.2695368965661049,
           0.6605342525441326,
           1.0504534419709923,
           1.4386580136315161,
           1.8245143150200753,
           2.2073925266290386,
           2.5866676899807297,
           2.9617207277248925,
           3.3319394541366445,
           3.6967195743654173,
           4.05546567080396,
           4.407592174967293,
           4.7525243232953,
           5.089699095318851,
           5.418566132658048,
           5.738588637352652,
           6.049244248058254,
           6.350025892678135,
           6.640442616038994,
           6.920020381259584,
           7.188302843504276,
           7.44485209485846,
           7.689249379110073,
           7.921095775270441,
           8.140012848718825,
           8.345643268907777,
           8.53765139262107,
           8.715723811832186,
           8.879569865269072,
           9.028922112850195,
           9.163536772217467,
           9.283194116653513,
           9.387698833733767
          ],
          [
           -3.923783377796659,
           -4.2736506099848,
           -4.6165421143869825,
           -4.951898201404525,
           -5.279171481232346,
           -5.597827757343854,
           -5.90734689844094,
           -6.207223687445782,
           -6.496968646148682,
           -6.776108834165944,
           -7.044188620903629,
           -7.300770429267152,
           -7.54543544990279,
           -7.77778432480531,
           -7.997437799175802,
           -8.2040373404658,
           -8.397245723597196,
           -8.576747581402746,
           -8.742249919388655,
           -8.893482593979066,
           -9.03019875346181,
           -9.152175240915675,
           -9.259212958461482,
           -9.351137192242497,
           -9.427797897603615,
           -9.489069944003933,
           -9.534853319262862,
           -9.565073292806455,
           -9.579680537647462,
           -9.578651210900027,
           -9.561986992697555,
           -9.529715083450327,
           -9.4818881594472,
           -9.418584286874008,
           -9.339906794388884,
           -9.245984104462575,
           -9.136969523759028,
           -9.013040992898347,
           -8.874400796010683,
           -8.72127523055503,
           -8.55391423794195,
           -8.37259099556309,
           -8.177601470893459,
           -7.9692639383942465,
           -7.747918460004749,
           -7.513926330071371,
           -7.267669485619723,
           -7.009549882932406,
           -6.73998884145008,
           -6.459426356066725,
           -6.168320378941659,
           -5.867146072000502,
           -5.5563950313453,
           -5.2365744848396805,
           -4.908206464178877,
           -4.571826952795981,
           -4.227985010995235,
           -3.8772418797404726,
           -3.520170064561436,
           -3.1573524010733927,
           -2.7893811036353164,
           -2.4168567986994347,
           -2.0403875444300823,
           -1.6605878381919705,
           -1.2780776135280396,
           -0.8934812282639732,
           -0.5074264453911546,
           -0.12054340839148736,
           0.2665363873234059,
           0.6531811251796404,
           1.0387596987328043,
           1.4226427418005172,
           1.804203655754474,
           2.182819632295077,
           2.55787267003924,
           2.92875058326208,
           3.2948480011458594,
           3.655567355905248,
           4.010319858175942,
           4.358526458074573,
           4.699618790361258,
           5.033040102161913,
           5.358246161736185,
           5.674706146807525,
           5.981903511005524,
           6.279336827006155,
           6.5665206049937375,
           6.842986085108707,
           7.1082820025876305,
           7.361975324346634,
           7.603651955805877,
           7.832917416801415,
           8.04939748548112,
           8.252738809133684,
           8.44260948095369,
           8.61869958180127,
           8.780721686072082,
           8.928411330851901,
           9.061527447590018,
           9.179852755586852
          ],
          [
           -3.521527434049445,
           -3.8732070898046658,
           -4.218564647479617,
           -4.557036392224632,
           -4.888069848657411,
           -5.211124682648917,
           -5.525673583291566,
           -5.831203123610045,
           -6.127214598609877,
           -6.413224839295845,
           -6.688767001331554,
           -6.953391327052815,
           -7.206665879591068,
           -7.448177247908577,
           -7.677531221594537,
           -7.894353434320699,
           -8.098289974906217,
           -8.289007964994255,
           -8.46619610239749,
           -8.629565169225593,
           -8.778848503965296,
           -8.913802436742492,
           -9.034206687055885,
           -9.13986472333304,
           -9.230604083721843,
           -9.306276657593862,
           -9.366758927300049,
           -9.411952169784206,
           -9.44178261772511,
           -9.456201579944294,
           -9.455185520882914,
           -9.438736099018016,
           -9.40688016415545,
           -9.359669713603903,
           -9.297181807301527,
           -9.219518442033753,
           -9.126806384947573,
           -9.019196966634023,
           -8.89686583411666,
           -8.76001266414917,
           -8.608860837290111,
           -8.443657073286776,
           -8.264671028363335,
           -8.07219485507057,
           -7.866542725415675,
           -7.64805031805046,
           -7.417074270355039,
           -7.173991596311337,
           -6.919199071116569,
           -6.65311258354121,
           -6.3761664570885745,
           -6.088812741064,
           -5.791520472710869,
           -5.484774911617796,
           -5.169076747646682,
           -4.84494128367448,
           -4.5128975944826255,
           -4.1734876631671325,
           -3.8272654964788484,
           -3.47479622053796,
           -3.116655158398759,
           -2.7534268909702684,
           -2.3857043028256553,
           -2.0140876144578215,
           -1.639183402560882,
           -1.2616036099365882,
           -0.8819645466418871,
           -0.5008858840079591,
           -0.11898964317273375,
           0.26310082022204395,
           0.6447618335120733,
           1.0253704250091609,
           1.4043053408557578,
           1.7809480590755147,
           2.154683799164671,
           2.524902525576423,
           2.8909999434602023,
           3.252378485030679,
           3.608448284956379,
           3.9586281431758574,
           4.3023464735699015,
           4.639042236941182,
           4.968165856778588,
           5.289180116311385,
           5.601561035389053,
           5.904798725755422,
           6.198398223321122,
           6.481880296075865,
           6.754782226321779,
           7.016658565951062,
           7.267081863535044,
           7.505643362037972,
           7.731953666016553,
           7.945643377216271,
           8.146363697527029,
           8.33378699831388,
           8.507607355193585,
           8.667541047384098,
           8.813327020811904,
           8.944727314221284
          ],
          [
           -3.1176182939777526,
           -3.469795310550549,
           -3.8163087037324077,
           -4.156592872044503,
           -4.49009238175005,
           -4.816262873469028,
           -5.1345719507166345,
           -5.4445000489151125,
           -5.745541283460507,
           -6.0372042754601125,
           -6.319012953792752,
           -6.590507332182718,
           -6.851244260018996,
           -7.1007981456942435,
           -7.338761651282818,
           -7.564746357423969,
           -7.778383397324955,
           -7.9793240588491585,
           -8.167240353706514,
           -8.341825552817106,
           -8.502794686974134,
           -8.649885011989022,
           -8.782856437559374,
           -8.90149191915986,
           -9.00559781231625,
           -9.09500418868441,
           -9.16956511341828,
           -9.229158883374135,
           -9.2736882257623,
           -9.303080456922046,
           -9.317287600960563,
           -9.316286468062284,
           -9.30007869234081,
           -9.268690729171594,
           -9.222173812009778,
           -9.160603868763648,
           -9.084081397860217,
           -8.9927313042052,
           -8.886702695305205,
           -8.766168637884846,
           -8.63132587539609,
           -8.482394506880917,
           -8.319617627711494,
           -8.143260932794256,
           -7.953612282885549,
           -7.7509812347267815,
           -7.535698535765964,
           -7.308115584290425,
           -7.068603855851883,
           -6.8175542969201395,
           -6.555376686755062,
           -6.282498968538483,
           -5.999366550857782,
           -5.7064415806812905,
           -5.404202189012247,
           -5.093141710452592,
           -4.773767877950427,
           -4.446601994045628,
           -4.112178079966235,
           -3.771042003964617,
           -3.4237505903161685,
           -3.070870710434831,
           -2.7129783575890944,
           -2.350657706728651,
           -1.984500160956451,
           -1.6151033862024355,
           -1.243070335674726,
           -0.86900826568057,
           -0.4935277444234627,
           -0.11724165539442355,
           0.2592358030159376,
           0.6352901200515686,
           1.0103074756350312,
           1.3836757422841628,
           1.754785484265959,
           2.123030952356865,
           2.4878110725856377,
           2.8485304273450263,
           3.2046002272707264,
           3.555439272301293,
           3.900474900350344,
           4.23914392204247,
           4.570893539987235,
           4.895182251090659,
           5.21148073043146,
           5.5192726952592865,
           5.818055747704654,
           6.1073421948251365,
           6.386659844649167,
           6.655552776918222,
           6.913582087269196,
           7.160326603642403,
           7.395383573745724,
           7.618369322452831,
           7.828919878062466,
           8.02669156639647,
           8.211361571766925,
           8.38262846389671,
           8.540212689933407,
           8.683857030753483
          ],
          [
           -2.714692027506438,
           -3.066048096174974,
           -3.412399563660715,
           -3.7531810927903857,
           -4.0878364380028405,
           -4.4158193532888985,
           -4.736594483809274,
           -5.049638239735224,
           -5.354439650885575,
           -5.650501200765179,
           -5.937339638643382,
           -6.214486768346986,
           -6.481490212480194,
           -6.737914150824147,
           -6.983340031710745,
           -7.217367255209636,
           -7.439613827013236,
           -7.649716981952428,
           -7.847333776125253,
           -8.03214164667201,
           -8.203838938283159,
           -8.362145395580534,
           -8.506802620568212,
           -8.63757449440639,
           -8.754247562819739,
           -8.856631384511228,
           -8.944558842012686,
           -9.017886414464682,
           -9.07649441188053,
           -9.120287170511977,
           -9.149193208997751,
           -9.163165345040039,
           -9.16218077241846,
           -9.146241098215864,
           -9.115372340195137,
           -9.06962488433134,
           -9.009073402568468,
           -8.933816730935096,
           -8.84397770821785,
           -8.739702975456023,
           -8.621162736584635,
           -8.488550480616592,
           -8.342082665817472,
           -8.181998366388395,
           -8.00855888223371,
           -7.822047312450467,
           -7.622768093235838,
           -7.411046500966746,
           -7.187228121262809,
           -6.951678284899225,
           -6.704781471490377,
           -6.446940681917412,
           -6.17857678052427,
           -5.900127808155773,
           -5.612048267159161,
           -5.314808379516086,
           -5.008893319315993,
           -4.69480242082374,
           -4.3730483634340365,
           -4.044156334843112,
           -3.708663173803555,
           -3.3671164938614884,
           -3.0200737895065033,
           -2.668101526193215,
           -2.3117742157198906,
           -1.9516734784732652,
           -1.5883870940702949,
           -1.2225080419464178,
           -0.8546335334563011,
           -0.4853640370670349,
           -0.11530229823479088,
           0.2549476444351011,
           0.6247814451388956,
           0.9935954373265705,
           1.3607876190452324,
           1.7257586355655128,
           2.087912757686926,
           2.4466588541254684,
           2.801411356396162,
           3.15159121461564,
           3.4966268426646914,
           3.8359550511679057,
           4.169021966767677,
           4.495283936191947,
           4.814208413640108,
           5.12527483003856,
           5.427975442747062,
           5.721816164329001,
           6.0063173690327005,
           6.281014675667494,
           6.545459705596585,
           6.799220814609564,
           7.041883797479876,
           7.273052564057262,
           7.492349785791637,
           7.6994175116330315,
           7.893917752302363,
           8.075533031979301,
           8.24396690650675,
           8.398944447266095
          ],
          [
           -2.3153782899406306,
           -2.6646004598120117,
           -3.009473297189396,
           -3.349433878414806,
           -3.6839272979311435,
           -4.012407574034777,
           -4.33433854006206,
           -4.64919471955509,
           -4.956462183978211,
           -5.255639391585286,
           -5.546238006068446,
           -5.827783693652049,
           -6.09981689733082,
           -6.36189358698841,
           -6.613585984171939,
           -6.854483260339537,
           -7.084192207441161,
           -7.302337879738092,
           -7.50856420581353,
           -7.702534569775276,
           -7.883932360701893,
           -8.052461489435435,
           -8.207846871877233,
           -8.3498348779979,
           -8.478193745828573,
           -8.592713959757756,
           -8.693208592516172,
           -8.779513610291499,
           -8.851488140474935,
           -8.909014701602523,
           -8.95199939511598,
           -8.980372058629966,
           -8.994086380455645,
           -8.993119975193615,
           -8.977474420272785,
           -8.947175253375608,
           -8.902271930753825,
           -8.842837746502784,
           -8.768969712926099,
           -8.680788402185918,
           -8.578437749497278,
           -8.462084818187769,
           -8.331919527006018,
           -8.188154340124072,
           -8.031023920339688,
           -7.860784746044608,
           -7.677714692584,
           -7.482112578690433,
           -7.274297678732683,
           -7.05460920157555,
           -6.823405736901304,
           -6.5810646698965005,
           -6.327981565259586,
           -6.064569521534704,
           -5.79125849682565,
           -5.508494606990571,
           -5.216739397462909,
           -4.916469089887238,
           -4.6081738047996055,
           -4.292356761621228,
           -3.96953345727136,
           -3.6402308247399873,
           -3.3049863729938935,
           -2.9643473096198756,
           -2.618869647637303,
           -2.2691172979378322,
           -1.915661148833738,
           -1.5590781342172515,
           -1.199950291851874,
           -0.8388638133328858,
           -0.47640808726763373,
           -0.11317473723751403,
           0.25024334388816305,
           0.6132529617100988,
           0.9752615885490927,
           1.3356783306079163,
           1.6939148924661949,
           2.049386537334112,
           2.4015130414974455,
           2.749719641396078,
           3.0934379717901224,
           3.4321069934822486,
           3.7651739090820207,
           4.092095065317378,
           4.412336840420545,
           4.7253765151398435,
           5.030703125955705,
           5.327818299108269,
           5.616237064075103,
           5.895488645171354,
           6.165117229980114,
           6.424682713358831,
           6.6737614158072605,
           6.911946775024419,
           7.138850009525786,
           7.354100753237459,
           7.557347660031529,
           7.748258977215858,
           7.926523087042183,
           8.091849015348682
          ],
          [
           -1.9222831598008552,
           -2.268072406645102,
           -2.610159559623593,
           -2.947986242051849,
           -3.281001031459829,
           -3.6086603596592015,
           -3.9304293999903677,
           -4.245782940300972,
           -4.554206240231,
           -4.855195871405157,
           -5.148260539161086,
           -5.432921884472161,
           -5.708715264755889,
           -5.975190512293477,
           -6.23191266902257,
           -6.478462696503804,
           -6.714438159902359,
           -6.939453884867996,
           -7.153142586241458,
           -7.355155467560943,
           -7.545162790390174,
           -7.722854412538705,
           -7.887940294295971,
           -8.040150971852805,
           -8.179237997137598,
           -8.304974343349269,
           -8.41715477552501,
           -8.51559618553803,
           -8.600137890978422,
           -8.67064189742934,
           -8.726993123710386,
           -8.769099589720513,
           -8.796892566573877,
           -8.810326688783544,
           -8.809380028309974,
           -8.794054130353361,
           -8.764374010831474,
           -8.720388115547054,
           -8.662168241111459,
           -8.589809417753608,
           -8.503429754205529,
           -8.403170244917664,
           -8.289194539918661,
           -8.161688677695249,
           -8.020860781528233,
           -7.866940719780283,
           -7.700179730689978,
           -7.520850012284573,
           -7.329244278080845,
           -7.125675279299234,
           -6.910475294371177,
           -6.683995586572823,
           -6.446605830670511,
           -6.198693509513791,
           -5.9406632815609655,
           -5.672936320369501,
           -5.395949627129397,
           -5.110155317361721,
           -4.816019882946518,
           -4.5140234306847224,
           -4.204658898636926,
           -3.8884312515180994,
           -3.565856656461695,
           -3.237461640498371,
           -2.9037822311246897,
           -2.56536308136449,
           -2.222756580751147,
           -1.8765219536818143,
           -1.5272243466153137,
           -1.1754339056037155,
           -0.8217248456632027,
           -0.46667451350336187,
           -0.1108624451446758,
           0.24513058003748744,
           0.6007234872983638,
           0.9553358549914488,
           1.3083888619700592,
           1.6593062323765198,
           2.007515176276719,
           2.352447324604726,
           2.6935396568914105,
           3.0302354202626907,
           3.361985038207456,
           3.688247007631725,
           4.008488782734893,
           4.32218764426528,
           4.628831552736147,
           4.927919984209558,
           5.218964747283751,
           5.501490779950627,
           5.775036925022521,
           6.0391566828626955,
           6.293418940190794,
           6.53740867377369,
           6.770727627853175,
           6.99299496420462,
           7.2038478837656825,
           7.402942218820289,
           7.5899529947713535,
           7.764574960585243
          ],
          [
           -1.537972130529482,
           -1.8790518347226226,
           -2.2170644294838135,
           -2.5514581888849346,
           -2.8816872938940215,
           -3.20721272329624,
           -3.5275031335190485,
           -3.8420357259253937,
           -4.150297100159303,
           -4.451784092151035,
           -4.746004595413871,
           -5.032478364292026,
           -5.310737797848524,
           -5.580328703113585,
           -5.840811036447634,
           -6.091759621808867,
           -6.332764844752985,
           -6.563433321032259,
           -6.783388538702653,
           -6.9922714726908435,
           -7.189741170818099,
           -7.375475310324369,
           -7.549170723984249,
           -7.710543894956071,
           -7.859331419556332,
           -7.995290437204169,
           -8.11819902683403,
           -8.227856569129537,
           -8.324084073987258,
           -8.406724472675869,
           -8.475642874213872,
           -8.53072678554733,
           -8.57188629516828,
           -8.59905421987409,
           -8.6121862144282,
           -8.611260843943288,
           -8.59627961886866,
           -8.567266992524806,
           -8.524270321189107,
           -8.467359786797877,
           -8.396628282390887,
           -8.312191260485355,
           -8.214186544626912,
           -8.102774104425142,
           -7.9781357944408775,
           -7.84047505735146,
           -7.690016591878523,
           -7.527005986020249,
           -7.351709316186822,
           -7.164412712893375,
           -6.965421893719339,
           -6.755061664296509,
           -6.533675388140386,
           -6.301624426190115,
           -6.059287546971892,
           -5.807060308348589,
           -5.545354411864714,
           -5.274597030740652,
           -4.995230112613008,
           -4.7077096581592075,
           -4.412504976783842,
           -4.110097920581597,
           -3.800982097827264,
           -3.4856620672764866,
           -3.1646525145924946,
           -2.8384774122429883,
           -2.5076691642385374,
           -2.1727677371084746,
           -1.834319778532726,
           -1.4928777250682828,
           -1.1489989004266459,
           -0.8032446057741955,
           -0.45617920354024877,
           -0.1083691962283635,
           0.23961769826552137,
           0.5872134733188337,
           0.9338507607193267,
           1.278963756760048,
           1.6219891457805793,
           1.9623670196471295,
           2.2995417916706797,
           2.6329631034713343,
           2.96208672330874,
           3.2863754344121627,
           3.605299911860324,
           3.9183395865796222,
           4.22498349505049,
           4.524731113334989,
           4.817093174064189,
           5.101592465051911,
           5.377764608231165,
           5.645158817641965,
           5.9033386352331965,
           6.151882643277551,
           6.390385152236703,
           6.618456862953887,
           6.835725502093067,
           7.0418364297874465,
           7.236453218505502,
           7.4192582021896705
          ],
          [
           -1.1649533670714245,
           -1.5000776453173157,
           -1.8327534002124444,
           -2.1624376169624595,
           -2.4885921637542463,
           -2.81068467012933,
           -3.1281893959532456,
           -3.4405880895624357,
           -3.747370833687989,
           -4.04803687777546,
           -4.342095455342179,
           -4.629066585037909,
           -4.908481854101314,
           -5.179885182933455,
           -5.442833569540273,
           -5.696897812628978,
           -5.941663212178054,
           -6.176730246337327,
           -6.401715223553283,
           -6.616250908855111,
           -6.819987123279297,
           -7.012591315454272,
           -7.193749104412177,
           -7.363164792741738,
           -7.520561849244613,
           -7.665683360307439,
           -7.798292449252767,
           -7.918172662984443,
           -8.025128325296281,
           -8.11898485626738,
           -8.19958905722271,
           -8.26680936079386,
           -8.32053604567177,
           -8.360681415700908,
           -8.387179943022607,
           -8.399988375033836,
           -8.399085804986893,
           -8.384473706114735,
           -8.356175929226294,
           -8.31423866377563,
           -8.258730362468535,
           -8.189741629529625,
           -8.10738507281227,
           -8.011795119992833,
           -7.903127799149127,
           -7.781560484081355,
           -7.6472916047911665,
           -7.5005403235914265,
           -7.341546177375367,
           -7.17056868662905,
           -6.987886931825317,
           -6.793799097890648,
           -6.588621987488547,
           -6.372690503913799,
           -6.1463571044417655,
           -5.909991225024911,
           -5.663978677275638,
           -5.4087210187197385,
           -5.144634897348323,
           -4.872151371538137,
           -4.591715206450329,
           -4.30378414805608,
           -4.008828175974177,
           -3.707328736339981,
           -3.39977795595806,
           -3.0866778390211005,
           -2.7685394477063383,
           -2.4458820679869704,
           -2.119232362020113,
           -1.78912350849494,
           -1.4560943323440547,
           -1.1206884252387583,
           -0.783453258303688,
           -0.4449392884991932,
           -0.1056990601300476,
           0.23371369705298584,
           0.5727449716864879,
           0.9108413750874371,
           1.2474510445298503,
           1.582024544030662,
           1.9140157611745439,
           2.242882798513742,
           2.5680888580880135,
           2.889103117620811,
           3.2054015969616123,
           3.5164680133600643,
           3.8217946241759257,
           4.120883055649336,
           4.413245116378536,
           4.698403594177347,
           4.975893035011607,
           5.245260502743252,
           5.506066318441844,
           5.757884778056824,
           6.000304847279111,
           6.232930832457751,
           6.455383026476599,
           6.667298328536718,
           6.86833083683289,
           7.058152413156831
          ],
          [
           -0.805661336603094,
           -1.1336231730578783,
           -1.4597346367543826,
           -1.7834634275571484,
           -2.104281134482873,
           -2.4216640982068505,
           -2.735094265813466,
           -3.044060036395522,
           -3.3480570961221816,
           -3.6465892414124985,
           -3.93916918887086,
           -4.22531937066233,
           -4.504572714029617,
           -4.776473403679333,
           -5.040577625793059,
           -5.2964542924488445,
           -5.543685745270689,
           -5.781868437157434,
           -6.0106135909783465,
           -6.229547834160174,
           -6.438313808129923,
           -6.636570751618535,
           -6.823995056873371,
           -7.000280797871638,
           -7.165140229672536,
           -7.318304258093102,
           -7.459522878941046,
           -7.588565586087709,
           -7.705221747715015,
           -7.809300950122281,
           -7.90063330853173,
           -7.979069744385368,
           -8.044482228680604,
           -8.096763990947435,
           -8.135829693526091,
           -8.161615570860652,
           -8.174079533581295,
           -8.17320123720528,
           -8.158982115344521,
           -8.131445377365557,
           -8.090635970505723,
           -8.036620506507376,
           -7.969487152889918,
           -7.889345489037101,
           -7.796326327334485,
           -7.690581499649046,
           -7.572283609499417,
           -7.44162575032132,
           -7.29882119028801,
           -7.144103024200227,
           -6.977723793013862,
           -6.799955071626325,
           -6.611087025594525,
           -6.4114279375079395,
           -6.201303703789927,
           -5.981057302748597,
           -5.751048234745514,
           -5.5116519353960625,
           -5.263259162759249,
           -5.006275359517225,
           -4.741119991185646,
           -4.468225861435011,
           -4.1880384056406665,
           -3.901014963814466,
           -3.6076240341049757,
           -3.3083445080845975,
           -3.0036648890719073,
           -2.694082494765086,
           -2.3801026454879177,
           -2.0622378393734384,
           -1.741006915831445,
           -1.4169342086654186,
           -1.0905486902211003,
           -0.7623831079637604,
           -0.43297311489349033,
           -0.10285639521784784,
           0.2274282132909149,
           0.5573415988215857,
           0.8863452554970079,
           1.213902162358047,
           1.5394776599238114,
           1.8625403228972703,
           2.1825628275918736,
           2.499022812663214,
           2.8114037317408815,
           3.119195696568708,
           3.4218963092772094,
           3.7190114824297735,
           4.010056245503968,
           4.29455553649169,
           4.57204497732595,
           4.842071631868684,
           5.104194745222282,
           5.357986463158108,
           5.603032530487754,
           5.838932967237021,
           6.065302721519003,
           6.281772298040578,
           6.487988361216419,
           6.683614311906098
          ],
          [
           -0.4624409202420492,
           -0.7820800439743274,
           -1.1004426062860566,
           -1.4170089552977152,
           -1.7312623710248154,
           -2.0426899088015436,
           -2.350783236542097,
           -2.6550394644730466,
           -2.954961965982406,
           -3.2500611882455885,
           -3.539855451305057,
           -3.823871734299372,
           -4.101646447558302,
           -4.372726189303759,
           -4.6366684857213665,
           -4.893042513194727,
           -5.141429801523479,
           -5.381424916977304,
           -5.6126361240709866,
           -5.834686024980285,
           -6.047212175554991,
           -6.249867676923603,
           -6.442321741724001,
           -6.624260234035906,
           -6.7953861821337345,
           -6.955420263223006,
           -7.104101259368973,
           -7.241186483873376,
           -7.366452177403296,
           -7.479693873225552,
           -7.5807267309504685,
           -7.669385838240274,
           -7.7455264799896275,
           -7.809024374538947,
           -7.859775876534931,
           -7.897698146107183,
           -7.922729284084783,
           -7.934828433032099,
           -7.933975843938929,
           -7.920172908456104,
           -7.893442156623953,
           -7.853827220097305,
           -7.801392760927107,
           -7.736224366014854,
           -7.658428407412135,
           -7.568131868693314,
           -7.465482137684776,
           -7.350646765889012,
           -7.223813194996261,
           -7.085188450930122,
           -6.934998805926505,
           -6.773489409197502,
           -6.60092388678307,
           -6.417583911243615,
           -6.223768741895905,
           -6.019794736342737,
           -5.805994834093674,
           -5.582718013119747,
           -5.350328720229123,
           -5.1092062761935475,
           -4.859744256596571,
           -4.6023498494140975,
           -4.337443190375981,
           -4.065456677193395,
           -3.7868342637714627,
           -3.50203073555908,
           -3.2115109672188202,
           -2.9157491638285804,
           -2.615228086853483,
           -2.310438266151551,
           -2.0018771992992463,
           -1.6900485395439144,
           -1.375461273708487,
           -1.0586288913904176,
           -0.7400685468108996,
           -0.42030021468241063,
           -0.09984584147252429,
           0.22077150655075561,
           0.541028497101439,
           0.8604023860921997,
           1.1783718708909725,
           1.4944179412246594,
           1.8080247263411446,
           2.118680337046747,
           2.425877701244746,
           2.7291153916111157,
           3.0278984440564827,
           3.3217391656384216,
           3.6101579306052556,
           3.8926839632721317,
           4.168856106451385,
           4.438223574183032,
           4.700346687536629,
           4.954797592283543,
           5.201160957268196,
           5.439034652338308,
           5.66803040472765,
           5.887774432819851,
           6.097908056258826,
           6.298088281409963
          ],
          [
           -0.13753210943043648,
           -0.44774256680575775,
           -0.7572221899250113,
           -1.0654658262141643,
           -1.371970340556489,
           -1.6762354365421102,
           -1.9777644730840396,
           -2.2760652750677397,
           -2.5706509367110373,
           -2.8610406163231135,
           -3.1467603211652815,
           -3.4273436811324625,
           -3.7023327099924996,
           -3.9712785529408006,
           -4.233742219250052,
           -4.489295298819152,
           -4.737520661451787,
           -4.978013137723186,
           -5.210380180323776,
           -5.434242504800156,
           -5.649234708647631,
           -5.8550058677437145,
           -6.05122010914907,
           -6.237557159340973,
           -6.4137128669843655,
           -6.579399699387274,
           -6.734347211830171,
           -6.878302489003279,
           -7.011030557831225,
           -7.1323147710112185,
           -7.24195716063875,
           -7.339778761343544,
           -7.425619902408366,
           -7.499340468393852,
           -7.560820127843955,
           -7.6099585296986945,
           -7.646675467093621,
           -7.67091100827863,
           -7.682625594442417,
           -7.681800104282924,
           -7.66843588521836,
           -7.642554751187852,
           -7.6041989470453375,
           -7.553431079604785,
           -7.4903340154493225,
           -7.4150107456710685,
           -7.327584217762425,
           -7.22819713493328,
           -7.117011723181621,
           -6.9942094664978125,
           -6.8599908106347565,
           -6.714574835927398,
           -6.5581988996957135,
           -6.391118248814792,
           -6.21360560308445,
           -6.025950710078413,
           -5.828459872199653,
           -5.621455446713886,
           -5.405275319577283,
           -5.180272353917233,
           -4.946813814066444,
           -4.70528076609042,
           -4.456067455786906,
           -4.199580665172482,
           -3.936239048506778,
           -3.666472448938009,
           -3.390721196885308,
           -3.109435391303063,
           -2.823074165000397,
           -2.5321049352150453,
           -2.237002640664812,
           -1.9382489663220266,
           -1.6363315571762884,
           -1.331743222268913,
           -1.0249811302982863,
           -0.7165459981090678,
           -0.40694127338993313,
           -0.09667231291380718,
           0.21375444233799934,
           0.52383229382137,
           0.8330551124954035,
           1.1409181649588116,
           1.4469189373083062,
           1.7505579553741355,
           2.051339599994017,
           2.3487729159946484,
           2.6423724135603472,
           2.9316588606808294,
           3.2161600653845293,
           3.49541164648078,
           3.7689577915526735,
           4.036352000963474,
           4.297157816662065,
           4.5509495345978905,
           4.797312899582543,
           5.0358457814637445,
           5.2661588315080925,
           5.4878761179211395,
           5.700635739467474,
           5.904090416189236
          ],
          [
           0.16694461313023945,
           -0.13279275943906343,
           -0.43231337911339507,
           -0.7311283490455907,
           -1.02874992419544,
           -1.3246923074585553,
           -1.618472442615709,
           -1.9096108028083023,
           -2.1976321732529756,
           -2.482066426917802,
           -2.7624492918939083,
           -3.038323109209983,
           -3.30923757985272,
           -3.574750499773887,
           -3.834428481684245,
           -4.08784766245619,
           -4.334594394980467,
           -4.574265923347608,
           -4.806471040252079,
           -5.030830725546034,
           -5.246978764900416,
           -5.45456234756358,
           -5.653242642241705,
           -5.84269535016108,
           -6.022611234409429,
           -6.192696624692337,
           -6.352673896680797,
           -6.5022819251675426,
           -6.641276510292419,
           -6.769430776141118,
           -6.886535541066673,
           -6.992399659129207,
           -7.086850332096644,
           -7.169733391497118,
           -7.24091355026269,
           -7.300274623553596,
           -7.347719718402642,
           -7.383171391870137,
           -7.406571777451252,
           -7.417882679529452,
           -7.417085635721845,
           -7.404181947014669,
           -7.379192675639741,
           -7.342158610695329,
           -7.293140201567551,
           -7.232217459260996,
           -7.1594898257996125,
           -7.075076011911031,
           -6.979113803259269,
           -6.871759835542081,
           -6.753189338820114,
           -6.623595851495088,
           -6.483190904403964,
           -6.332203675544687,
           -6.170880615997094,
           -5.99948504764959,
           -5.818296733388197,
           -5.627611420449563,
           -5.427740357683262,
           -5.219009787511373,
           -5.001760413414606,
           -4.776346843814106,
           -4.543137013256781,
           -4.3025115818488056,
           -4.054863313917705,
           -3.8005964369170977,
           -3.5401259816206245,
           -3.273877104681994,
           -3.002284394666886,
           -2.7257911626895304,
           -2.4448487188117283,
           -2.1599156353855244,
           -1.8714569985418574,
           -1.5799436490470287,
           -1.2858514137660912,
           -0.9896603289875667,
           -0.6918538568773234,
           -0.3929180963404675,
           -0.09334098957941306,
           0.20638847435680274,
           0.5057810577319604,
           0.8043480726879779,
           1.1016021789127333,
           1.3970581791082846,
           1.6902338109611748,
           1.980650534322033,
           2.2678343123096147,
           2.5513163850643577,
           2.8306340348883894,
           3.105331341523183,
           3.3749599263319423,
           3.639079684172117,
           3.8972595017633487,
           4.149077961378328,
           4.394124028707974,
           4.631997723778087,
           4.862310773822435,
           5.0846872470465705,
           5.298764166247912,
           5.50419210129052
          ],
          [
           0.44900211258330547,
           0.1607138917980735,
           -0.1278366565527227,
           -0.41617854167890034,
           -0.7038411133838274,
           -0.990354830289986,
           -1.2752520262546643,
           -1.5580676737247514,
           -1.838340142784649,
           -2.1156119546583687,
           -2.389430528435851,
           -2.659348919804676,
           -2.924926550581351,
           -3.1857299278514115,
           -3.4413333515444693,
           -3.6913196092892804,
           -3.9352806574146646,
           -4.17281828698465,
           -4.403544773780765,
           -4.627083511170459,
           -4.843069624828724,
           -5.051150568309462,
           -5.250986698494495,
           -5.44225182998095,
           -5.624633767502068,
           -5.797834815512449,
           -5.961572264105866,
           -6.11557885047261,
           -6.2596031951430495,
           -6.393410212305386,
           -6.516781493527871,
           -6.62951566425911,
           -6.731428712524571,
           -6.822354289282785,
           -6.902143979950971,
           -6.970667546656866,
           -7.0278131408213795,
           -7.0734874857250425,
           -7.107616028760276,
           -7.130143063120963,
           -7.141031818730683,
           -7.1402645222612,
           -7.127842426143229,
           -7.103785806522147,
           -7.068133930161958,
           -7.020944990351543,
           -6.962296011917843,
           -6.892282725500962,
           -6.811019411296456,
           -6.7186387125198355,
           -6.615291418897763,
           -6.501146220539357,
           -6.376389432589323,
           -6.241224691112378,
           -6.095872620705345,
           -5.940570474379485,
           -5.775571746300841,
           -5.60114575802074,
           -5.4175772188718065,
           -5.225165761247049,
           -5.024225451520584,
           -4.815084277408245,
           -4.598083612604942,
           -4.373577659572491,
           -4.141932871387578,
           -3.90352735359342,
           -3.6587502470315494,
           -3.4080010926610806,
           -3.1516891794022013,
           -2.8902328760684597,
           -2.624058948478216,
           -2.353601862860007,
           -2.0793030766887703,
           -1.801610318110523,
           -1.5209768551316567,
           -1.2378607557656789,
           -0.9527241403451248,
           -0.6660324272189633,
           -0.37825357306679974,
           -0.08985730906985445,
           0.19868562581455151,
           0.48690425322341513,
           0.7743281241492936,
           1.0604880868374549,
           1.3449170525656058,
           1.6271507580561853,
           1.9067285232767759,
           2.1831940033917463,
           2.4560959336376604,
           2.724988865906716,
           2.989433895835807,
           3.2489993792145246,
           3.5032616365426223,
           3.7518056445869763,
           3.9942257138092625,
           4.2301261505585295,
           4.459121902947871,
           4.680839189360918,
           4.894916108562259,
           5.101003230415955
          ],
          [
           0.706799570740654,
           0.4308618470495045,
           0.15422084290034643,
           -0.1226718904417603,
           -0.39936439082315145,
           -0.6754050229232922,
           -0.9503432154430476,
           -1.2237301965561778,
           -1.4951197264236002,
           -1.7640688255748138,
           -2.0301384979675205,
           -2.2928944475452386,
           -2.551907787123289,
           -2.8067557384461006,
           -3.057022322273096,
           -3.302299037366801,
           -3.542185527274885,
           -3.776290233817736,
           -4.004231036214957,
           -4.225635874807497,
           -4.440143358357405,
           -4.647403353933884,
           -4.847077558422798,
           -5.0388400507268285,
           -5.222377823754854,
           -5.397391295332314,
           -5.563594797198501,
           -5.720717041292717,
           -5.868501562568113,
           -6.006707137610448,
           -6.1351081783784975,
           -6.253495100423374,
           -6.361674664985765,
           -6.459470294412686,
           -6.546722360378894,
           -6.6232884444425295,
           -6.689043570509657,
           -6.743880408828309,
           -6.78770945117901,
           -6.820459156975865,
           -6.842076070039704,
           -6.852524905852707,
           -6.851788609152065,
           -6.839868381768675,
           -6.816783680665441,
           -6.782572186178359,
           -6.737289740512247,
           -6.681010256591508,
           -6.613825597414685,
           -6.535845426109763,
           -6.44719702693495,
           -6.348025097517108,
           -6.238491512666971,
           -6.118775060156645,
           -5.9890711488907025,
           -5.849591489947175,
           -5.700563751009091,
           -5.5422311847506345,
           -5.374852231784449,
           -5.198700098818226,
           -5.014062312709129,
           -4.821240251143922,
           -4.62054865071092,
           -4.412315093166631,
           -4.196879470735739,
           -3.974593431317105,
           -3.7458198045014246,
           -3.5109320093374046,
           -3.270313444813128,
           -3.024356864047548,
           -2.7734637332135326,
           -2.518043576238938,
           -2.25851330635526,
           -1.995296545585008,
           -1.7288229332785723,
           -1.4595274248291767,
           -1.1878495817106938,
           -0.914232853997079,
           -0.6391238565346047,
           -0.3629716399483529,
           -0.08622695767283872,
           0.19065846979675483,
           0.46723269223188124,
           0.7430442673728876,
           1.017642997802163,
           1.2905806657853516,
           1.561411764881203,
           1.8296942271258954,
           2.094990144604818,
           2.3568664842341005,
           2.6148957945850744,
           2.868656903598053,
           3.1177356060464825,
           3.3617253396293796,
           3.6002278485885313,
           3.8328538337671727,
           4.0592235880491545,
           4.2789676161413555,
           4.491727237687691,
           4.697155172730298
          ],
          [
           0.9386544999862934,
           0.6758880144971604,
           0.41201830105769055,
           0.14747606480966757,
           -0.11730689137008543,
           -0.38189837168615526,
           -0.6458664928823756,
           -0.9087803891894874,
           -1.1702109156119875,
           -1.4297313484062446,
           -1.6869180816064757,
           -1.9413513184616877,
           -2.192615756654963,
           -2.440301266186667,
           -2.684003558815039,
           -2.923324847961494,
           -3.157874498003516,
           -3.3872696618952607,
           -3.611135906075182,
           -3.829107821640587,
           -4.040829620791602,
           -4.245955717570926,
           -4.444151291951483,
           -4.635092836351253,
           -4.818468683683162,
           -4.993979516078197,
           -5.161338853451292,
           -5.320273521112587,
           -5.470524095660753,
           -5.61184532843056,
           -5.744006545803566,
           -5.866792025728441,
           -5.980001349836396,
           -6.0834497305769535,
           -6.176968312840092,
           -6.260404449572433,
           -6.3336219509375855,
           -6.396501306613976,
           -6.448939880867291,
           -6.490852080079135,
           -6.522169492458442,
           -6.542840999707613,
           -6.552832860461089,
           -6.552128765360187,
           -6.540729863674281,
           -6.518654761424891,
           -6.485939491015735,
           -6.442637452418325,
           -6.3888193260090915,
           -6.32457295720031,
           -6.250003213053181,
           -6.165231811107039,
           -6.070397120704159,
           -5.965653937134398,
           -5.851173228968351,
           -5.727141858991444,
           -5.593762279194451,
           -5.451252200318326,
           -5.2998442364927,
           -5.139785525548121,
           -4.971337325621772,
           -4.794774588715099,
           -4.610385511899465,
           -4.418471066902307,
           -4.2193445088417185,
           -4.013330864911246,
           -3.800766403849585,
           -3.581998087061089,
           -3.3573830022830013,
           -3.1272877807238704,
           -2.8920879986244574,
           -2.6521675642180247,
           -2.4079180910905746,
           -2.1597382589639373,
           -1.9080331629450593,
           -1.6532136523036591,
           -1.3956956598576067,
           -1.1358995230605733,
           -0.8742492979001701,
           -0.6111720667264655,
           -0.3470972411406401,
           -0.08245586108174097,
           0.18232010874449456,
           0.44679848394623045,
           0.7105475658847538,
           0.9731368463207888,
           1.2341377101177637,
           1.4931241348550657,
           1.749673386209249,
           2.0033667079682527,
           2.2537900055522355,
           2.500534521925442,
           2.7431975047957535,
           2.9813828640129123,
           3.214701818092396,
           3.4427735288095804,
           3.6652257228284277,
           3.8816952993500036,
           4.091828922788979,
           4.29528359951074
          ],
          [
           1.1430537238523528,
           0.8941932569917901,
           0.643873230303333,
           0.3925022322573235,
           0.14049056678726002,
           -0.11175041643472561,
           -0.3638089934293096,
           -0.6152737379523505,
           -0.8657341930513152,
           -1.1147815410395538,
           -1.362009270794863,
           -1.607013841293118,
           -1.8493953402939178,
           -2.0887581371031163,
           -2.3247115283467124,
           -2.5568703757020605,
           -2.784855734545458,
           -3.0082954724899538,
           -3.2268248768038132,
           -3.440087249718112,
           -3.6477344906518265,
           -3.849427664404016,
           -4.044837554385681,
           -4.233645199988296,
           -4.415542417211848,
           -4.590232301702622,
           -4.757429713379599,
           -4.91686174185847,
           -5.068268151913543,
           -5.2114018082504305,
           -5.346029078896205,
           -5.471930216548553,
           -5.588899717261464,
           -5.69674665588202,
           -5.795294997690723,
           -5.884383885736701,
           -5.963867903398784,
           -6.033617311743879,
           -6.09351826129522,
           -6.143472977864802,
           -6.183399922146723,
           -6.213233922810883,
           -6.232926282879827,
           -6.242444859215093,
           -6.241774114983304,
           -6.230915145016402,
           -6.209885674024573,
           -6.178720027664857,
           -6.137469076512579,
           -6.086200153027129,
           -6.024996941647586,
           -5.953959342197586,
           -5.87320330682239,
           -5.782860650724329,
           -5.6830788370055405,
           -5.574020735969198,
           -5.4558643592721,
           -5.328802569362595,
           -5.19304276467806,
           -5.048806541115812,
           -4.8963293303300235,
           -4.735860015444995,
           -4.5676605248121085,
           -4.392005404473484,
           -4.209181370030263,
           -4.019486838646921,
           -3.8232314419555635,
           -3.6207355206552285,
           -3.412329601631162,
           -3.1983538584475557,
           -2.9791575560943317,
           -2.755098480894347,
           -2.5265423565014995,
           -2.293862246943024,
           -2.057437947680375,
           -1.8176553656825885,
           -1.5749058895240946,
           -1.3295857505350557,
           -1.082095376047084,
           -0.8328387357899598,
           -0.5822226825062056,
           -0.3306562878598531,
           -0.07855017472330772,
           0.1736841530677351,
           0.4256349823973671,
           0.6768910628941316,
           0.9270422782003549,
           1.175680315390502,
           1.4223993314458094,
           1.666796615697423,
           1.9084732471566666,
           2.147034745659594,
           2.382091715762915,
           2.613260482340301,
           2.8401637168416674,
           3.062431053193113,
           3.2796996923322923,
           3.4916149943924113,
           3.6978310575682523,
           3.8980112827193882
          ],
          [
           1.3186632526039097,
           1.0843528286509976,
           0.8482724541693942,
           0.610807474751955,
           0.37234549603290246,
           0.13327575101293299,
           -0.10601153527196105,
           -0.34512578270091954,
           -0.5836766935982456,
           -0.8212748898024138,
           -1.057532548234187,
           -1.2920640339264238,
           -1.5244865294823016,
           -1.7544206599345427,
           -1.9814911119856635,
           -2.2053272466185057,
           -2.425563704077128,
           -2.6418410002305164,
           -2.8538061133457515,
           -3.0611130603128007,
           -3.2634234613804534,
           -3.4604070924815367,
           -3.651742424245901,
           -3.837117146821382,
           -4.01622867964604,
           -4.18878466533966,
           -4.35450344690828,
           -4.513114527482891,
           -4.664359011841846,
           -4.807990028996309,
           -4.943773135148991,
           -5.071486696368418,
           -5.190922250354099,
           -5.301884846702127,
           -5.404193365115787,
           -5.497680811041763,
           -5.5821945882494095,
           -5.657596747908142,
           -5.723764213756414,
           -5.780588982994702,
           -5.827978302574648,
           -5.865854820596546,
           -5.894156712568105,
           -5.912837782318359,
           -5.921867537402039,
           -5.921231238871303,
           -5.910929925333594,
           -5.890980411256365,
           -5.861415259521415,
           -5.822282728273658,
           -5.773646692151072,
           -5.715586538024401,
           -5.648197035416794,
           -5.571588181814874,
           -5.485885023123769,
           -5.391227449559125,
           -5.287769967309287,
           -5.175681446340346,
           -5.0551448447557075,
           -4.92635691016008,
           -4.789527858515381,
           -4.644881031012685,
           -4.492652529520359,
           -4.333090831203379,
           -4.166456382942906,
           -3.9930211762180985,
           -3.8130683031441084,
           -3.626891494390905,
           -3.434794639737141,
           -3.237091292041696,
           -3.0341041554424932,
           -2.826164558618033,
           -2.6136119139713747,
           -2.396793163619348,
           -2.1760622130913014,
           -1.951779353661677,
           -1.724310674259411,
           -1.4940274639139868,
           -1.2613056057135728,
           -1.0265249632644449,
           -0.790068760653122,
           -0.552322956923351,
           -0.31367561608887584,
           -0.07451627371038061,
           0.16476469892956214,
           0.4037767320156327,
           0.6421296947129647,
           0.8794345319638412,
           1.115303899528397,
           1.3493527962328562,
           1.5811991923932234,
           1.8104646533887605,
           2.036774957367342,
           2.25976070607445,
           2.4790579278088245,
           2.694308671520498,
           2.90516159108156,
           3.1112725187759396,
           3.3123050270721124,
           3.5079309777617915
          ],
          [
           1.464336989380714,
           1.24512567331129,
           1.0238819829209476,
           0.8009670464111607,
           0.5767447198989619,
           0.35158099350756,
           0.12584339397367827,
           -0.10009961525326361,
           -0.32587923544090014,
           -0.5511269345509842,
           -0.7754750487811211,
           -0.9985573826892868,
           -1.2200098069216292,
           -1.4394708525678523,
           -1.6565823011740508,
           -1.8709897694499364,
           -2.082343287716083,
           -2.2902978711469655,
           -2.494514082877425,
           -2.6946585880533673,
           -2.890404697922396,
           -3.0814329030762297,
           -3.267431394974532,
           -3.4480965748989068,
           -3.6231335495062647,
           -3.7922566121727503,
           -3.955189709342477,
           -4.111666891119933,
           -4.261432745370532,
           -4.4042428146207335,
           -4.539863995077298,
           -4.668074917114301,
           -4.788666306606889,
           -4.901441326521998,
           -5.006215898208426,
           -5.102819001861875,
           -5.1910929556744785,
           -5.27089367321321,
           -5.342090898607045,
           -5.40456841915897,
           -5.458224255035845,
           -5.502970825726449,
           -5.538735092996032,
           -5.565458680104026,
           -5.58309796709032,
           -5.591624161974573,
           -5.591023347752333,
           -5.58129650511127,
           -5.562459510830438,
           -5.534543111865169,
           -5.49759287515991,
           -5.451669113270933,
           -5.396846785920282,
           -5.333215377641692,
           -5.260878751718175,
           -5.179954980649672,
           -5.090576153427517,
           -4.992888159930277,
           -4.887050452792896,
           -4.773235787137834,
           -4.65162993859303,
           -4.522431400056954,
           -4.385851057705718,
           -4.24211184677107,
           -4.091448387651157,
           -3.9341066029479936,
           -3.770343316056752,
           -3.6004258319620823,
           -3.424631500925686,
           -3.243247265777372,
           -3.0565691935484716,
           -2.8649019922121726,
           -2.6685585133195353,
           -2.4678592413430334,
           -2.263131770561175,
           -2.054710270337999,
           -1.8429349396703358,
           -1.6281514518930735,
           -1.4107103904488882,
           -1.1909666766433742,
           -0.96927899031961,
           -0.7460091843978334,
           -0.5215216942357896,
           -0.2961829427738749,
           -0.07036074243600332,
           0.15557630523752053,
           0.38125941124516327,
           0.6063202010853459,
           0.8303913160410104,
           1.053107012806199,
           1.2741037604758145,
           1.4930208339241977,
           1.7095009026039025,
           1.9231906138036203,
           2.1337411694132555,
           2.34080889525465,
           2.544055802048721,
           2.7431501371033282,
           2.9377669258213834,
           3.1275885021453242
          ],
          [
           1.579124210076126,
           1.3754625241487828,
           1.1695557196977537,
           0.961739891071455,
           0.7523542486505188,
           0.5417405651667675,
           0.3302426178397395,
           0.11820562724136785,
           -0.0940243061952577,
           -0.30610076710332557,
           -0.5176775906237725,
           -0.7284094274378559,
           -0.9379523074685601,
           -1.1459642013307123,
           -1.3521055786133749,
           -1.5560399620832426,
           -1.7574344769044665,
           -1.9559603939783918,
           -2.151293666516376,
           -2.3431154589698124,
           -2.5311126674540656,
           -2.7149784308167924,
           -2.89441263151647,
           -3.0691223854935954,
           -3.2388225202348915,
           -3.403236040250271,
           -3.5620945792026975,
           -3.7151388379530195,
           -3.8621190078047243,
           -4.002795178257772,
           -4.13693772860598,
           -4.264327702738722,
           -4.384757166535192,
           -4.498029547267876,
           -4.603959954461212,
           -4.702375481681741,
           -4.793115488767113,
           -4.876031864033317,
           -4.950989266032108,
           -5.017865344464033,
           -5.076550939886472,
           -5.126950261890713,
           -5.168981045457226,
           -5.202574685233926,
           -5.227676347518244,
           -5.244245059760236,
           -5.252253777440609,
           -5.2516894282145365,
           -5.242552933249173,
           -5.22485920572007,
           -5.198637126468931,
           -5.163929496862441,
           -5.120792968929117,
           -5.06929795288822,
           -5.00952850222166,
           -4.941582176476489,
           -4.865569882021921,
           -4.781615691020821,
           -4.689856638911124,
           -4.590442500727761,
           -4.483535546630217,
           -4.369310277034705,
           -4.247953137783366,
           -4.119662215815338,
           -3.984646915836515,
           -3.843127618515683,
           -3.695335320765002,
           -3.5415112586919766,
           -3.3819065138383295,
           -3.216781603348549,
           -3.0464060547370164,
           -2.8710579659478492,
           -2.6910235514255136,
           -2.5065966749371738,
           -2.3180783699093364,
           -2.1257763480616854,
           -1.930004497140211,
           -1.7310823685693975,
           -1.5293346558598149,
           -1.3250906646224627,
           -1.1186837750549263,
           -0.9104508977767645,
           -0.7007319239022785,
           -0.48986917024835996,
           -0.2782068205829189,
           -0.06609036382597733,
           0.14613396987959426,
           0.3581197743072302,
           0.5695210325732054,
           0.7799926819277001,
           0.9891911769884243,
           1.1967750504975374,
           1.4024054706864901,
           1.605746794339053,
           1.8064671146498124,
           2.0042388029838163,
           2.198739043653148,
           2.3896503608374773,
           2.576661136788541,
           2.7594661204727093
          ],
          [
           1.6622757681365896,
           1.4745127516071967,
           1.2843429403931657,
           1.0920767419089459,
           0.8980279854273232,
           0.7025134098270618,
           0.5058521465912946,
           0.30836519890057357,
           0.11037491767080176,
           -0.08779552460869855,
           -0.28582266137813317,
           -0.48338325999019993,
           -0.680154849311216,
           -0.8758162460792844,
           -1.0700480791603089,
           -1.2625333108461056,
           -1.4529577543437942,
           -1.6410105866117015,
           -1.8263848557047635,
           -2.0087779818012432,
           -2.1878922510930208,
           -2.3634353017332415,
           -2.535120601048144,
           -2.702667913234162,
           -2.865803756776834,
           -3.024261850844964,
           -3.1777835499313283,
           -3.326118266030544,
           -3.4690238776649487,
           -3.606267125090862,
           -3.7376239910401767,
           -3.862880066375764,
           -3.981830900063878,
           -4.094282332892301,
           -4.200050814389519,
           -4.298963702427623,
           -4.390859545019904,
           -4.475588343853187,
           -4.553011799124748,
           -4.623003535284144,
           -4.68544930731154,
           -4.74024718719578,
           -4.787307730307857,
           -4.8265541213981935,
           -4.8579222999794425,
           -4.8813610648901395,
           -4.896832157868538,
           -4.9043103260002034,
           -4.903783362937454,
           -4.89525212882334,
           -4.878730548887669,
           -4.854245590717346,
           -4.821837220238141,
           -4.781558336479732,
           -4.733474685230499,
           -4.67766475172302,
           -4.614219632525409,
           -4.54324288684764,
           -4.46485036750553,
           -4.379170031818308,
           -4.286341732748448,
           -4.186516990624636,
           -4.079858745820554,
           -3.966541092793092,
           -3.846748995914164,
           -3.7206779875599523,
           -3.5885338489503615,
           -3.450532274259668,
           -3.3068985185465807,
           -3.157867030078444,
           -3.00368106764966,
           -2.8445923035190264,
           -2.6808604126140585,
           -2.5127526486728495,
           -2.3405434080153147,
           -2.164513781655825,
           -1.9849510964883716,
           -1.802148446293082,
           -1.6164042133296883,
           -1.4280215812987849,
           -1.2373080404658512,
           -1.0445748857558512,
           -0.8501367086375939,
           -0.6543108836272893,
           -0.45741705024940593,
           -0.2597765913004597,
           -0.061712108267318655,
           0.13645310524373588,
           0.33439559120763995,
           0.531792255149588,
           0.7283208935206229,
           0.9236607196190416,
           1.1174928871991034,
           1.309501010912396,
           1.4993716827324035,
           1.6867949835192535,
           1.8714649888897088,
           2.0530802685666476,
           2.231344378392972,
           2.405966344206862
          ],
          [
           1.7132489837867246,
           1.541629914940959,
           1.3674944984536301,
           1.1911269693673607,
           1.0128152061227351,
           0.8328502606645536,
           0.6515258833681008,
           0.46913804356086786,
           0.28598444642235865,
           0.10236404705050894,
           -0.08142343751207193,
           -0.2650780174955685,
           -0.4482999200655735,
           -0.6307900786316258,
           -0.8122506210029603,
           -0.992385355594676,
           -1.170900254890725,
           -1.3475039353745615,
           -1.5219081331440876,
           -1.6938281744345494,
           -1.862983440281404,
           -2.029097824564668,
           -2.191900184687095,
           -2.351124784150607,
           -2.5065117263085037,
           -2.6578073785855265,
           -2.8047647864732665,
           -2.947144076625233,
           -3.0847128483935755,
           -3.2172465531683825,
           -3.344528860900397,
           -3.4663520132088506,
           -3.5825171624980707,
           -3.6928346965293395,
           -3.7971245479182008,
           -3.8952164880520446,
           -3.9869504049482067,
           -4.072176564599065,
           -4.150755855377533,
           -4.22256001510401,
           -4.287471840404175,
           -4.345385378015887,
           -4.396206097732921,
           -4.4398510467032555,
           -4.476248984830068,
           -4.505340501054404,
           -4.527078110329732,
           -4.541426331130104,
           -4.548361743365378,
           -4.547873026609003,
           -4.539960978575946,
           -4.524638513820612,
           -4.501930642656875,
           -4.4718744303346325,
           -4.4345189365395195,
           -4.389925135314527,
           -4.338165815534245,
           -4.279325462094167,
           -4.213500118009015,
           -4.140797227645125,
           -4.061335461342851,
           -3.9752445217151804,
           -3.8826649319387823,
           -3.7837478063830194,
           -3.6786546039513515,
           -3.5675568645377043,
           -3.4506359290280093,
           -3.328082643303935,
           -3.2000970467319383,
           -3.0668880456461336,
           -2.92867307235791,
           -2.7856777302489206,
           -2.638135425526701,
           -2.4862869862440267,
           -2.3303802692038595,
           -2.1706697553915015,
           -2.00741613459435,
           -1.8408858798872223,
           -1.6713508126778498,
           -1.4990876590224702,
           -1.3243775979357264,
           -1.1475058024321751,
           -0.9687609740485206,
           -0.7884348716063778,
           -0.6068218349847232,
           -0.4242183046793908,
           -0.24092233793380835,
           -0.05723312223074917,
           0.12654951306072437,
           0.3101255860860901,
           0.4931954521550539,
           0.6754602928409259,
           0.8566226037312985,
           1.0363866800338974,
           1.2144590992450133,
           1.3905492000925932,
           1.5643695569722964,
           1.7356364491020804,
           1.9040703236295293,
           2.0693962519360283
          ],
          [
           1.7317111857709988,
           1.576375981141764,
           1.4184677141037643,
           1.258244132701122,
           1.0959667641831987,
           0.9319004881229667,
           0.7663131040635109,
           0.5994748943983588,
           0.43165818319916305,
           0.26313689171080323,
           0.09418609123948318,
           -0.07491844583636276,
           -0.24390069619951227,
           -0.41248483613699705,
           -0.580395691757321,
           -0.7473591881470174,
           -0.9131027967333809,
           -1.0773559801231336,
           -1.2398506336910216,
           -1.4003215231974124,
           -1.5585067177207321,
           -1.7141480171979775,
           -1.8669913738754826,
           -2.016787306982038,
           -2.163291309947459,
           -2.3062642495019756,
           -2.4454727560049405,
           -2.5806896043657996,
           -2.7116940849355182,
           -2.8382723637630756,
           -2.960217831629028,
           -3.077331441286375,
           -3.189422032358295,
           -3.2963066433624295,
           -3.397810810352398,
           -3.4937688516890866,
           -3.584024138476892,
           -3.668429350223491,
           -3.7468467153058413,
           -3.8191482358498927,
           -3.8852158966569657,
           -3.944941857835757,
           -3.9982286308255603,
           -4.044989237523367,
           -4.085147352255137,
           -4.11863742635947,
           -4.1454047951803625,
           -4.165405767294371,
           -4.178607695826576,
           -4.1849890317389065,
           -4.184539359003875,
           -4.177259411606279,
           -4.163161072345156,
           -4.142267353437903,
           -4.114612358958257,
           -4.080241229169433,
           -4.039210066843268,
           -3.99158584568568,
           -3.9374463010178538,
           -3.876879802891656,
           -3.8099852118463384,
           -3.7368717175419985,
           -3.6576586605331887,
           -3.5724753374735667,
           -3.481460790069582,
           -3.3847635781276333,
           -3.282541537065198,
           -3.174961520281688,
           -3.062199126809587,
           -2.944438414690403,
           -2.8218716005432696,
           -2.694698745816612,
           -2.5631274302349523,
           -2.427372412973922,
           -2.287655282116503,
           -2.1442040929626787,
           -1.9972529957828948,
           -1.847041853622898,
           -1.6938158507838281,
           -1.5378250926166106,
           -1.379324197283887,
           -1.2185718801558596,
           -1.055830531518394,
           -0.8913657882827,
           -0.725446100395648,
           -0.5583422926584776,
           -0.39032712266912295,
           -0.2216748356096785,
           -0.05266071660576266,
           0.1164393586116077,
           0.285349374008141,
           0.4537936237774316,
           0.621497162365733,
           0.7881862532557848,
           0.9535888157772119,
           1.1174348692140974,
           1.2794569734849097,
           1.4393906656754232,
           1.59697489171212,
           1.751952432471465
          ],
          [
           1.7175418824971964,
           1.5785241837143014,
           1.4369299160880384,
           1.292990198901927,
           1.1469399798333337,
           0.9990176514567288,
           0.8494646621239745,
           0.6985251218567727,
           0.5464454038945741,
           0.39347374254829237,
           0.23985982801628758,
           0.08585439882392976,
           -0.06829116744795893,
           -0.22232526447779133,
           -0.3759964678912615,
           -0.5290539456523904,
           -0.6812478674877385,
           -0.8323298126754777,
           -0.9820531755336761,
           -1.1301735679459828,
           -1.276449218267666,
           -1.4206413659608406,
           -1.5625146513148103,
           -1.7018374996153471,
           -1.8383824991358462,
           -1.971926772333406,
           -2.1022523396438952,
           -2.2291464752822487,
           -2.3524020544671917,
           -2.471817891503642,
           -2.5871990681709707,
           -2.698357251881068,
           -2.8051110030869264,
           -2.9072860714399544,
           -3.0047156802126223,
           -3.097240798522177,
           -3.184710400911089,
           -3.266981713860533,
           -3.3439204488345267,
           -3.4154010214743176,
           -3.481306756585273,
           -3.54153007858164,
           -3.595972687078351,
           -3.6445457173432376,
           -3.6871698853477763,
           -3.7237756171795824,
           -3.7543031626054306,
           -3.7787026925994383,
           -3.7969343806772065,
           -3.8089684679031746,
           -3.8147853114650725,
           -3.8143754167361834,
           -3.8077394527730846,
           -3.79488825122357,
           -3.775842788646538,
           -3.7506341522727027,
           -3.719303489262007,
           -3.6819019395405848,
           -3.6384905523268776,
           -3.589140186483167,
           -3.533931394855177,
           -3.47295429278853,
           -3.406308411036677,
           -3.3341025333003858,
           -3.2564545186639875,
           -3.1734911092181806,
           -3.0853477231834283,
           -2.992168233871619,
           -2.8941047348467763,
           -2.7913172916681566,
           -2.683973680620919,
           -2.572249114860881,
           -2.4563259584203117,
           -2.336393428541612,
           -2.212647286824754,
           -2.0852895196925747,
           -1.9545280086955383,
           -1.8205761911940752,
           -1.683652711972373,
           -1.5439810663522864,
           -1.4017892353898653,
           -1.257309313749999,
           -1.1107771308665546,
           -0.9624318660063853,
           -0.8125156578655215,
           -0.6612732093347997,
           -0.5089513880800478,
           -0.35579882358876525,
           -0.20206550134107815,
           -0.04800235476732162,
           0.10613914434165306,
           0.2601073963029492,
           0.41365108421881924,
           0.5665195841922905,
           0.7184633744116464,
           0.8692344424359852,
           1.0185866900171083,
           1.1662763347969278,
           1.3120623082247334,
           1.4557066490448078
          ],
          [
           1.6708335484119456,
           1.5480605026435894,
           1.422760612814236,
           1.2951384014744645,
           1.165402181817608,
           1.0337637176575347,
           0.9004378777741096,
           0.7656422851905349,
           0.6295969619550386,
           0.4925239700067081,
           0.3546470487116995,
           0.21619124966142245,
           0.07738256932884724,
           -0.06155241981749704,
           -0.20038693913970462,
           -0.3388943739931829,
           -0.4768486436216772,
           -0.6140245701808462,
           -0.7501982462880337,
           -0.8851474004983242,
           -1.0186517601103176,
           -1.1504934107094096,
           -1.2804571518617411,
           -1.408330848378207,
           -1.5339057765751702,
           -1.6569769649667117,
           -1.777343528832279,
           -1.894808998113675,
           -2.009181638106143,
           -2.1202747624200873,
           -2.22790703770264,
           -2.3319027796216307,
           -2.4320922396288647,
           -2.528311882034643,
           -2.620404650941249,
           -2.7082202265996975,
           -2.7916152707713096,
           -2.8704536606936193,
           -2.9446067112687193,
           -3.013953385111356,
           -3.078380490113954,
           -3.137782864206061,
           -3.192063547006654,
           -3.241133938089116,
           -3.2849139416005624,
           -3.3233320969994478,
           -3.356325695698066,
           -3.3838408834195457,
           -3.405832748102271,
           -3.4222653932082374,
           -3.4331119963156986,
           -3.438354852900447,
           -3.437985405234279,
           -3.43200425635347,
           -3.420421169074463,
           -3.403255050058366,
           -3.3805339189502837,
           -3.352294862643851,
           -3.318583974745612,
           -3.2794562803380685,
           -3.2349756461641976,
           -3.1852146763800384,
           -3.130254594045512,
           -3.0701851085469145,
           -3.005104269167473,
           -2.9351183050449974,
           -2.860341451777832,
           -2.7808957649621635,
           -2.696910920965005,
           -2.608524005258084,
           -2.515879288658106,
           -2.419127991838632,
           -2.3184280384979594,
           -2.2139437975858804,
           -2.105845815010112,
           -1.9943105352602641,
           -1.8795200134037886,
           -1.7616616179239695,
           -1.6409277248850165,
           -1.5175154039234635,
           -1.3916260965784102,
           -1.2634652874856758,
           -1.1332421689725338,
           -1.0011692996005257,
           -0.867462257213683,
           -0.7323392870584859,
           -0.596020945549923,
           -0.45872974026508917,
           -0.3206897667520048,
           -0.18212634274641015,
           -0.04326564039366332,
           0.09566568292401811,
           0.23444085455233044,
           0.3728333567178055,
           0.51061729626473,
           0.6475677733724874,
           0.7834612486515393,
           0.9180759080188121,
           1.0511920247569284,
           1.1825923181663094
          ],
          [
           1.591891020476107,
           1.485183755895119,
           1.3760522787289862,
           1.2646747204037525,
           1.1512328785438055,
           1.0359119202300713,
           0.9189000797583837,
           0.8003883513913399,
           0.6805701776051736,
           0.5596411333404703,
           0.4377986067721631,
           0.3152414771198364,
           0.19216979002425916,
           0.06878443101999387,
           -0.054713202362900226,
           -0.1781215293328886,
           -0.3012391148701239,
           -0.4238649985216405,
           -0.5457990224219742,
           -0.6668421580036972,
           -0.7867968308646782,
           -0.9054672432617537,
           -1.022659693704397,
           -1.1381828931267775,
           -1.2518482771221042,
           -1.3634703137295747,
           -1.4728668062716066,
           -1.5798591907469848,
           -1.6842728272945302,
           -1.785937285251518,
           -1.8846866213415954,
           -1.9803596505380798,
           -2.072800209160538,
           -2.1618574097752097,
           -2.247385887483192,
           -2.3292460371943906,
           -2.4073042414999404,
           -2.4814330887711438,
           -2.5515115811289437,
           -2.617425331944446,
           -2.679066752548151,
           -2.736335227843103,
           -2.789137280535339,
           -2.837386723713541,
           -2.88100480152887,
           -2.919920317745331,
           -2.9540697519508563,
           -2.9833973632394155,
           -3.00785528119491,
           -3.0274035840283493,
           -3.0420103637407676,
           -3.051651778205514,
           -3.0563120900849094,
           -3.0559836925177377,
           -3.0506671215356613,
           -3.0403710551882694,
           -3.025112299378212,
           -3.004915760429518,
           -2.9798144044338932,
           -2.9498492034413384,
           -2.9150690685829352,
           -2.8755307702349433,
           -2.831298845354536,
           -2.7824454921384256,
           -2.7290504521763115,
           -2.6712008802915284,
           -2.60899120228132,
           -2.5425229607889817,
           -2.4719046495594106,
           -2.397251536348631,
           -2.3186854747763364,
           -2.236334705428563,
           -2.150333646535148,
           -2.060822674563634,
           -1.9679478950877605,
           -1.8718609043045333,
           -1.772718541589148,
           -1.6706826334916607,
           -1.5659197295932676,
           -1.4586008306533587,
           -1.3489011094910537,
           -1.236999625056853,
           -1.1230790301610787,
           -1.0073252733362015,
           -0.8899272953196613,
           -0.7710767206526254,
           -0.6509675448980836,
           -0.5297958179887745,
           -0.4077593242218782,
           -0.2850572594227323,
           -0.16188990580458817,
           -0.03845830505506864,
           0.08503606981701495,
           0.20839164333887616,
           0.33140706659824204,
           0.453881545898005,
           0.5756151705046264,
           0.6964092389553178,
           0.816066583391363,
           0.9343918913881968
          ],
          [
           1.4812295086788532,
           1.3903043018505947,
           1.2971097507931466,
           1.2017979736552813,
           1.1045245444585547,
           1.0054482391593593,
           0.9047307764845813,
           0.8025365539638774,
           0.6990323795894477,
           0.5943871995412762,
           0.4887718224222981,
           0.3823586404535986,
           0.27532134808472364,
           0.16783465847840873,
           0.06007401833251169,
           -0.047784678495396804,
           -0.15556537809331772,
           -0.2630921538613462,
           -0.3701894936704173,
           -0.4766825863444897,
           -0.582397606998617,
           -0.6871620007671222,
           -0.7908047644587546,
           -0.8931567256791189,
           -0.9940508189647557,
           -1.0933223584781437,
           -1.1908093068185375,
           -1.2863525395098447,
           -1.3797961047338543,
           -1.4709874778848242,
           -1.5597778105299787,
           -1.6460221733695062,
           -1.7295797927994894,
           -1.8103142806916548,
           -1.8880938570148613,
           -1.9627915649349532,
           -2.0342854780418786,
           -2.102458899365833,
           -2.1672005518575705,
           -2.2284047600219665,
           -2.285971622408371,
           -2.3398071746761895,
           -2.389823542969532,
           -2.4359390873505795,
           -2.4780785350575507,
           -2.516173103369751,
           -2.5501606118791593,
           -2.579985583985294,
           -2.6055993374476962,
           -2.6269600638482147,
           -2.6440328968334024,
           -2.6567899690256214,
           -2.665210457509973,
           -2.6692806178228006,
           -2.6689938063862875,
           -2.664350491352533,
           -2.655358251839406,
           -2.6420317655594183,
           -2.624392784861817,
           -2.6024701012270017,
           -2.5762994982712133,
           -2.5459236933382097,
           -2.5113922677732705,
           -2.472761585993327,
           -2.430094703485332,
           -2.383461263883036,
           -2.3329373852901556,
           -2.2786055360355095,
           -2.220554400062896,
           -2.1588787321754475,
           -2.09367920337074,
           -2.0250622365191076,
           -1.9531398326533758,
           -1.8780293881535615,
           -1.799853503124948,
           -1.7187397812822844,
           -1.6348206216667958,
           -1.548233002535928,
           -1.4591182577786252,
           -1.367621846221048,
           -1.273893114199304,
           -1.1780850517867472,
           -1.0803540430737222,
           -0.9808596109073786,
           -0.8797641565082062,
           -0.7772326943883021,
           -0.673432583004062,
           -0.5685332515829149,
           -0.4627059235700397,
           -0.35612333714641853,
           -0.2489594632744634,
           -0.14138922173139257,
           -0.033588195593911685,
           0.07426765535978763,
           0.18200228186292566,
           0.2894398325190739,
           0.3964049408381367,
           0.5027230114808328,
           0.6082205052444474,
           0.7127252223246998
          ],
          [
           1.3395712335746333,
           1.2640413611477337,
           1.1864482389958928,
           1.1069185196107578,
           1.025582016522716,
           0.9425714924108881,
           0.8580224423993306,
           0.7720728728931654,
           0.6848630763156454,
           0.5965354021138127,
           0.5072340244065723,
           0.4171047066544036,
           0.32629456373485777,
           0.23495182181217,
           0.14322557639297528,
           0.05126554896301627,
           -0.0407781573979058,
           -0.1327553030238553,
           -0.22451575689361292,
           -0.3159097416841954,
           -0.40678807824706187,
           -0.4970024291079165,
           -0.5864055405926933,
           -0.6748514831844918,
           -0.7621958897191163,
           -0.8482961910304878,
           -0.9330118486611934,
           -1.0162045842584169,
           -1.0977386052807883,
           -1.1774808266476873,
           -1.2553010879693067,
           -1.3310723660028159,
           -1.4046709819878767,
           -1.4759768035230856,
           -1.5448734406538165,
           -1.6112484358514023,
           -1.6749934475735526,
           -1.7360044271063995,
           -1.7941817883995133,
           -1.8494305706166596,
           -1.9016605931370023,
           -1.950786602753714,
           -1.9967284128297564,
           -2.0394110341836695,
           -2.078764797491748,
           -2.114725467006794,
           -2.1472343454078446,
           -2.1762383696097194,
           -2.2016901973760037,
           -2.2235482845940977,
           -2.241776953086193,
           -2.2563464488454916,
           -2.2672329906026127,
           -2.274418808642912,
           -2.277892173811356,
           -2.2776474166576,
           -2.2736849366900365,
           -2.2660112017236855,
           -2.2546387373230155,
           -2.2395861063569056,
           -2.220877878699141,
           -2.1985445911238766,
           -2.1726226974615517,
           -2.143154509096597,
           -2.11018812590407,
           -2.0737773577379413,
           -2.0339816365991794,
           -1.9908659196270215,
           -1.9445005830717346,
           -1.8949613074219789,
           -1.8423289538742282,
           -1.7866894323459257,
           -1.7281335612477822,
           -1.6667569192441087,
           -1.6026596892431786,
           -1.5359464948722152,
           -1.4667262297039843,
           -1.395111879513681,
           -1.321220337856274,
           -1.2451722152653173,
           -1.1670916423846633,
           -1.0871060673544384,
           -1.0053460477819733,
           -0.9219450376372738,
           -0.8370391694208497,
           -0.7507670319594792,
           -0.6632694441926068,
           -0.5746892253185907,
           -0.48517096167601803,
           -0.39486077074055803,
           -0.303906062622624,
           -0.21245529945507702,
           -0.12065775306378512,
           -0.028663261316534516,
           0.06337801645200081,
           0.15531584453998715,
           0.2470001561028221,
           0.33828129810190344,
           0.42901027557796034,
           0.5190389948502174
          ],
          [
           1.1678407127877377,
           1.1072189754028043,
           1.0447899638916702,
           0.980655578907895,
           0.9149205047254623,
           0.8476920383663638,
           0.779079914463491,
           0.7091961261446942,
           0.6381547422303946,
           0.5660717210431008,
           0.4930647211327699,
           0.41925290922694103,
           0.34475676571913194,
           0.2696978880129759,
           0.1941987920431103,
           0.11838271229677844,
           0.04237340066255868,
           -0.033705075565440445,
           -0.109728536198201,
           -0.1855728908467036,
           -0.2611143414702557,
           -0.3362295844476222,
           -0.41079601184113645,
           -0.48469191152528435,
           -0.5577966658530551,
           -0.6299909485358564,
           -0.7011569194155509,
           -0.7711784168107583,
           -0.8399411471234397,
           -0.9073328713962576,
           -0.9732435885162376,
           -1.0375657147656758,
           -1.1001942594272007,
           -1.1610269961563917,
           -1.2199646298421998,
           -1.2769109586828287,
           -1.3317730312125033,
           -1.3844612980228446,
           -1.4348897579311828,
           -1.4829760983572222,
           -1.5286418296789406,
           -1.5718124133484028,
           -1.6124173835583833,
           -1.65039046226119,
           -1.6856696673519682,
           -1.71819741383988,
           -1.7479206078420373,
           -1.7747907332467572,
           -1.7987639309046846,
           -1.8198010702185183,
           -1.8378678130144959,
           -1.8529346695913698,
           -1.8649770468553988,
           -1.8739752884627778,
           -1.879914706903991,
           -1.8827856074777074,
           -1.8825833041151006,
           -1.8793081270287484,
           -1.8729654221736411,
           -1.8635655425211692,
           -1.851123831160335,
           -1.8356605962537769,
           -1.8172010778894756,
           -1.7957754068822602,
           -1.7714185555923478,
           -1.7441702808412074,
           -1.7140750590179141,
           -1.6811820134819224,
           -1.6455448343807553,
           -1.6072216910134864,
           -1.5662751368830636,
           -1.5227720075924536,
           -1.4767833117512668,
           -1.428384115070925,
           -1.3776534178375814,
           -1.3246740259627598,
           -1.269532415822212,
           -1.2123185931036091,
           -1.1531259458934615,
           -1.0920510922430693,
           -1.0291937224623111,
           -0.9646564363987058,
           -0.898544575967331,
           -0.8309660532049632,
           -0.7620311741290999,
           -0.6918524586893735,
           -0.6205444571052494,
           -0.5482235628897678,
           -0.4750078228645629,
           -0.4010167444762347,
           -0.3263711007286023,
           -0.2511927330492174,
           -0.1756043524119466,
           -0.09972933904021986,
           -0.023691541017874407,
           0.05238492786366322,
           0.12837589069189548,
           0.2041573101228149,
           0.2796054908426431,
           0.35459728147128633
          ],
          [
           0.9671587272466398,
           0.9208606291909147,
           0.8730594431047791,
           0.8238331931629674,
           0.7732622296212424,
           0.7214290976635036,
           0.6684184026662381,
           0.6143166721001707,
           0.5592122142945559,
           0.5031949742946296,
           0.4463563870475191,
           0.38878922815622907,
           0.33058746244532955,
           0.27184609058551246,
           0.21266099402738448,
           0.15312877849758433,
           0.09334661631269281,
           0.03341208776832083,
           -0.026576978137737406,
           -0.08652266338829051,
           -0.14632712077484555,
           -0.20589273361013127,
           -0.26512227506433383,
           -0.32391906686499006,
           -0.3821871371015,
           -0.43983137687665064,
           -0.4967576955494897,
           -0.5528731743161295,
           -0.6080862178778004,
           -0.662306703948599,
           -0.7154461303588922,
           -0.767417759514248,
           -0.8181367599741347,
           -0.8675203449192548,
           -0.9154879072815278,
           -0.9619611513161384,
           -1.006864220400891,
           -1.050123820854275,
           -1.091669341570138,
           -1.1314329692736713,
           -1.1693497992106145,
           -1.2053579410889697,
           -1.2393986201003258,
           -1.2714162728558833,
           -1.3013586380805993,
           -1.3291768419174046,
           -1.354825477702262,
           -1.3782626800798476,
           -1.3994501933388817,
           -1.4183534338555608,
           -1.4349415465431812,
           -1.449187455215795,
           -1.4610679067837062,
           -1.4705635092086604,
           -1.4776587631567815,
           -1.4823420872975777,
           -1.48460583720774,
           -1.48444631784886,
           -1.4818637895987097,
           -1.4768624678262363,
           -1.4694505160109654,
           -1.4596400324180443,
           -1.447447030350674,
           -1.432891412012164,
           -1.4159969360202758,
           -1.3967911786268743,
           -1.3753054887061953,
           -1.3515749365851928,
           -1.3256382567994929,
           -1.2975377848683913,
           -1.2673193881920874,
           -1.2350323911839656,
           -1.2007294947601057,
           -1.1644666903174565,
           -1.1263031683410696,
           -1.086301221789578,
           -1.0445261444166185,
           -1.0010461241941564,
           -0.955932132011692,
           -0.9092578058329983,
           -0.8610993304994996,
           -0.8115353133764587,
           -0.7606466560449796,
           -0.7085164222492324,
           -0.6552297023144584,
           -0.6008734742570647,
           -0.5455364618135006,
           -0.48930898961966296,
           -0.4322828357772064,
           -0.37455108204741183,
           -0.3162079619171472,
           -0.2573487067848932,
           -0.19806939051792494,
           -0.13846677263436025,
           -0.078638140366035,
           -0.01868114986002123,
           0.04130633322202204,
           0.10122639344649276,
           0.16098122543171822,
           0.22047329349219957
          ],
          [
           0.7388350065267892,
           0.7061825703830795,
           0.6723774575636794,
           0.6374748469510778,
           0.6015317088343486,
           0.5646067119185743,
           0.5267601275620182,
           0.4880537313973097,
           0.4485507024973039,
           0.408315520250107,
           0.36741385911168045,
           0.32591248140775875,
           0.28387912836007967,
           0.2413824095148005,
           0.19849169075358208,
           0.1552769810701209,
           0.11180881829696698,
           0.06815815396912583,
           0.02439623751239761,
           -0.019405500054528346,
           -0.06317556271438196,
           -0.10684250615171731,
           -0.15033505436892192,
           -0.19358221602750092,
           -0.2365134003246956,
           -0.2790585322163581,
           -0.32114816679793634,
           -0.36271360265692376,
           -0.4036869940117409,
           -0.444001461453972,
           -0.4835912011132528,
           -0.522391592066592,
           -0.5603393018167893,
           -0.5973723896678251,
           -0.6334304078284618,
           -0.6684545000790014,
           -0.7023874978402187,
           -0.7351740134875846,
           -0.7667605307585252,
           -0.7970954921051017,
           -0.8261293828495693,
           -0.8538148120054188,
           -0.8801065896319993,
           -0.9049618005964497,
           -0.9283398746225417,
           -0.9502026525120977,
           -0.970514448430893,
           -0.9892421081573723,
           -1.0063550631991063,
           -1.021825380688651,
           -1.0356278089773783,
           -1.0477398188528375,
           -1.0581416403123916,
           -1.0668162948330857,
           -1.073749623085089,
           -1.0789303080434602,
           -1.0823498934605305,
           -1.08400279766873,
           -1.0838863226913493,
           -1.082000658646348,
           -1.078348883436034,
           -1.0729369577231114,
           -1.0657737152013045,
           -1.0568708481764317,
           -1.0462428884814736,
           -1.0339071837567781,
           -1.0198838691341232,
           -1.0041958343708597,
           -0.986868686487774,
           -0.9679307079716613,
           -0.9474128106108259,
           -0.9253484850388705,
           -0.9017737460691295,
           -0.8767270739089676,
           -0.8502493513499081,
           -0.8223837970361094,
           -0.7931758949201066,
           -0.7626733200209745,
           -0.7309258606060975,
           -0.6979853369235456,
           -0.6639055166177301,
           -0.6287420269663895,
           -0.592552264082169,
           -0.5553952992269862,
           -0.5173317823921071,
           -0.4784238433013339,
           -0.43873498999885996,
           -0.3983300051873533,
           -0.35727484048545755,
           -0.31563650877730787,
           -0.27348297482979067,
           -0.23088304435607032,
           -0.1879062517064698,
           -0.14462274637003603,
           -0.10110317847201333,
           -0.05741858345416073,
           -0.013640266126138556,
           0.030160315722807418,
           0.07391166796184478,
           0.11754237681587743
          ],
          [
           0.48435968104022153,
           0.4645858724342071,
           0.4440537368438262,
           0.42279678814323995,
           0.40084972329324886,
           0.37824836570668285,
           0.35502960677512263,
           0.3312313456523803,
           0.3068924273930822,
           0.28205257954724505,
           0.25675234731442664,
           0.2310330273632344,
           0.2049366004242401,
           0.1785056627663293,
           0.15178335666833132,
           0.12481329999940893,
           0.09763951502316459,
           0.07030635654166328,
           0.042858439496671785,
           0.015340566146277546,
           -0.012202347064246943,
           -0.039725342817955145,
           -0.06718349630845744,
           -0.09453198856908518,
           -0.12172617962928367,
           -0.14872168137886543,
           -0.17547443002113017,
           -0.20194075799662947,
           -0.22807746526018402,
           -0.2538418897947645,
           -0.2791919772471916,
           -0.30408634957196057,
           -0.3284843725711468,
           -0.35234622222016654,
           -0.37563294967111327,
           -0.39830654482757044,
           -0.4203299983871496,
           -0.44166736225044456,
           -0.4622838081978493,
           -0.48214568473840735,
           -0.501220572037953,
           -0.5194773348368451,
           -0.5368861732709505,
           -0.5534186715128948,
           -0.5690478441542113,
           -0.5837481802526603,
           -0.5974956849728312,
           -0.6102679187520612,
           -0.6220440339277331,
           -0.6328048087661715,
           -0.6425326788375985,
           -0.6512117656859235,
           -0.6588279027465841,
           -0.6653686584701237,
           -0.6708233566137698,
           -0.6751830936678811,
           -0.6784407533888334,
           -0.6805910184146083,
           -0.6816303789441351,
           -0.6815571384662136,
           -0.680371416528669,
           -0.6780751485432188,
           -0.6746720826263685,
           -0.6701677734814945,
           -0.6645695733321,
           -0.6578866199210416,
           -0.6501298215953175,
           -0.64131183950076,
           -0.6314470669156989,
           -0.6205516057573246,
           -0.6086432402991031,
           -0.5957414081421368,
           -0.581867168487864,
           -0.567043167763869,
           -0.5512936026589288,
           -0.5346441806276179,
           -0.517122077928942,
           -0.4987558952675024,
           -0.479575611109583,
           -0.45961253275036196,
           -0.43889924521213386,
           -0.4174695580569341,
           -0.3953584502003977,
           -0.3726020128169134,
           -0.3492373904292947,
           -0.325302720279085,
           -0.30083707007650773,
           -0.2758803742316216,
           -0.25047336867081516,
           -0.2246575243449973,
           -0.19847497953804094,
           -0.17196847108596458,
           -0.1451812646191133,
           -0.11815708394121316,
           -0.09094003966055819,
           -0.0635745571898374,
           -0.036105304232116886,
           -0.008577117871332973,
           0.0189650686136833,
           0.046476299092192086
          ],
          [
           0.20539355685836602,
           0.19764729042663465,
           0.18957841135726428,
           0.18120009019437022,
           0.17252600257339834,
           0.16357030689884944,
           0.15434762123402468,
           0.1448729994404907,
           0.13516190660618843,
           0.1252301938023157,
           0.11509407221020673,
           0.10477008666037335,
           0.0942750886269863,
           0.08362620872180582,
           0.07284082873249265,
           0.06193655325093772,
           0.05093118093791471,
           0.03984267547095133,
           0.028689136222869394,
           0.017488768718814107,
           0.00625985492002723,
           -0.004979276617150141,
           -0.016210280658323306,
           -0.027414825235323015,
           -0.03857462156882008,
           -0.04967145392045147,
           -0.06068720932571825,
           -0.07160390715913856,
           -0.08240372848337962,
           -0.09306904513447023,
           -0.10358244849563647,
           -0.11392677791275485,
           -0.12408514870508736,
           -0.13404097972553952,
           -0.14377802042547394,
           -0.1532803773799145,
           -0.16253254022980546,
           -0.1715194069990167,
           -0.1802263087447833,
           -0.18863903350127043,
           -0.19674384947728063,
           -0.2045275274701548,
           -0.21197736245933774,
           -0.2190811943443256,
           -0.22582742779316645,
           -0.2322050511691094,
           -0.23820365450450476,
           -0.2438134464926276,
           -0.2490252704696756,
           -0.2538306193608646,
           -0.2582216495662295,
           -0.26219119376344824,
           -0.26573277260680883,
           -0.2688406053032142,
           -0.2715096190479668,
           -0.27373545730492355,
           -0.2755144869175188,
           -0.27684380403903364,
           -0.2777212388724426,
           -0.2781453592120964,
           -0.2781154727814594,
           -0.27763162836308874,
           -0.2766946157190079,
           -0.27530596430160625,
           -0.2734679407571685,
           -0.27118354522610866,
           -0.2684565064459479,
           -0.2652912756650274,
           -0.2616930193768967,
           -0.25766761088722845,
           -0.253221620727031,
           -0.24836230592780373,
           -0.24309759817614518,
           -0.2374360908671389,
           -0.2313870250776664,
           -0.22496027448252276,
           -0.21816632923796586,
           -0.21101627885901442,
           -0.20352179411842153,
           -0.19569510799689338,
           -0.187548995715622,
           -0.17909675388375224,
           -0.17035217879480324,
           -0.16132954390746068,
           -0.1520435765475252,
           -0.14250943386901582,
           -0.13274267811369622,
           -0.12275925120937536,
           -0.11257544874846381,
           -0.1022078933892665,
           -0.09167350772340033,
           -0.0809894866536558,
           -0.07017326932736445,
           -0.059242510671108306,
           -0.04821505257320169,
           -0.03710889476101453,
           -0.025942165420661745,
           -0.014733091607008753,
           -0.0034999694922950297,
           0.007738865498051695
          ],
          [
           -0.09624272336167428,
           -0.09289102945376859,
           -0.08938771282459435,
           -0.08573849181320492,
           -0.08194932291316936,
           -0.07802639105002296,
           -0.0739760994858285,
           -0.06980505936734716,
           -0.0655200789349113,
           -0.0611281524095757,
           -0.056636448576688814,
           -0.052052299084556,
           -0.04738318647723627,
           -0.042636731981057,
           -0.03782068306476116,
           -0.03294290079358664,
           -0.028011346997924846,
           -0.023034071277519885,
           -0.018019197862381375,
           -0.01297491235189785,
           -0.007909448353775161,
           -0.0028310740446126914,
           0.0022519213259508675,
           0.007331240965482877,
           0.01239859408131494,
           0.017445709413310695,
           0.02246434873474623,
           0.027446320299276294,
           0.032383492212032294,
           0.03726780570302157,
           0.0420912882811697,
           0.04684606674753944,
           0.05152438004646953,
           0.05611859193366797,
           0.0606212034405873,
           0.06502486511471695,
           0.06932238901583698,
           0.0735067604486419,
           0.07757114941256527,
           0.08150892175016056,
           0.0853136499757885,
           0.08897912376698525,
           0.09249936010133819,
           0.09586861302236827,
           0.09908138301845026,
           0.10213242599946426,
           0.10501676185654407,
           0.1077296825909273,
           0.11026675999865487,
           0.1126238528985728,
           0.11479711389183223,
           0.1167829956418629,
           0.11857825666456434,
           0.12017996661926555,
           0.12158551109181293,
           0.12279259586199043,
           0.12379925064828867,
           0.12460383232392835,
           0.12520502759887642,
           0.12560185516348282,
           0.1257936672902376,
           0.1257801508910329,
           0.12556132802820613,
           0.12513755587852815,
           0.1245095261501965,
           0.123678263953784,
           0.12264512612898804,
           0.12141179902990995,
           0.11998029577247693,
           0.11835295294850812,
           0.11653242681177467,
           0.11452168894229597,
           0.1123240213959309,
           0.10994301134719775,
           0.10738254523405555,
           0.10464680241421087,
           0.10174024834329964,
           0.09866762728608469,
           0.09543395457255777,
           0.09204450841159906,
           0.0885048212755426,
           0.0848206708697199,
           0.08099807070171128,
           0.07704326026572295,
           0.07296269485807194,
           0.06876303504043957,
           0.06445113576807593,
           0.06003403520069739,
           0.05551894321434858,
           0.05091322963298239,
           0.0462244121989519,
           0.041460144302076785,
           0.03662820248727794,
           0.031736473761202255,
           0.02679294271854804,
           0.02180567850909121,
           0.016782821666695646,
           0.011732570821814114,
           0.006663169319160112,
           0.0015828917623759153
          ],
          [
           -0.418580562607223,
           -0.405132919848862,
           -0.39102399304463464,
           -0.3762768116936055,
           -0.3609154470950249,
           -0.3449649730575981,
           -0.32845142497239355,
           -0.3114017573162169,
           -0.2938437996547618,
           -0.2758062112174091,
           -0.25731843411778677,
           -0.23841064529644562,
           -0.21911370726412738,
           -0.19945911772598457,
           -0.17947895816898107,
           -0.1592058414964468,
           -0.13867285879517866,
           -0.11791352532204336,
           -0.09696172579822004,
           -0.07585165910036906,
           -0.05461778243902593,
           -0.03329475511532465,
           -0.011917381947851524,
           0.009479443538019439,
           0.030860796065589113,
           0.0521917756141157,
           0.07343756438488036,
           0.09456348363303757,
           0.11553505027249589,
           0.13631803316143465,
           0.15687850897657984,
           0.17718291758503035,
           0.19719811682327393,
           0.21689143659396226,
           0.2362307321921424,
           0.25518443677392266,
           0.2737216128818982,
           0.2918120029432707,
           0.3094260786582046,
           0.3265350891978165,
           0.3431111081331326,
           0.3591270790184131,
           0.3745568595544042,
           0.3893752642595052,
           0.4035581055791222,
           0.4170822333661546,
           0.4299255726681568,
           0.4420671597594965,
           0.4534871763596997,
           0.4641669819821237,
           0.47408914436015825,
           0.4832374679012965,
           0.49159702012262185,
           0.49915415602457225,
           0.5058965403631819,
           0.5118131677844657,
           0.5168943807880639,
           0.5211318854908379,
           0.5245187651646794,
           0.5270494915264403,
           0.5287199337615522,
           0.5295273652666077,
           0.5294704680998987,
           0.5285493351326455,
           0.526765469897406,
           0.524121784133914,
           0.5206225930363486,
           0.5162736082097982,
           0.5110819283474084,
           0.505056027643441,
           0.4982057419611443,
           0.49054225277802854,
           0.4820780689347326,
           0.4728270062172939,
           0.4628041648061276,
           0.452025904628544,
           0.4405098186550185,
           0.4282747041828143,
           0.41534053215382016,
           0.40172841455669417,
           0.3874605699665188,
           0.3725602872782079,
           0.35705188769287277,
           0.3409606850191915,
           0.3243129443545838,
           0.3071358392136214,
           0.2894574071736695,
           0.2713065041101501,
           0.25271275709611807,
           0.2337065160430516,
           0.2143188041617634,
           0.1945812673243239,
           0.17452612240962928,
           0.15418610471693306,
           0.13359441453318865,
           0.1127846629414,
           0.09179081695844449,
           0.07064714409191897,
           0.049388156406516615,
           0.028048554191198782
          ],
          [
           -0.759516257348503,
           -0.7370405673622846,
           -0.7133618322901798,
           -0.6885187020886989,
           -0.6625517273150616,
           -0.6355032929379956,
           -0.6074175491542491,
           -0.5783403393237894,
           -0.5483191251413264,
           -0.5174029091662815,
           -0.4856421548376373,
           -0.4530887041042808,
           -0.4197956928052271,
           -0.3858174639378742,
           -0.35120947895587484,
           -0.31602822724137614,
           -0.2803311338993977,
           -0.2441764660249044,
           -0.20762323759547208,
           -0.17073111314489164,
           -0.1335603103748646,
           -0.09617150186379497,
           -0.058625716033101405,
           -0.020984237532692518,
           0.016691492791786722,
           0.05433997818665315,
           0.09189976636915453,
           0.12930954983384257,
           0.1665082659226309,
           0.2034351964951968,
           0.24003006703704344,
           0.2762331450434443,
           0.31198533751868496,
           0.3472282874314514,
           0.3819044689689468,
           0.4159572814342152,
           0.44933114163345156,
           0.4819715746024764,
           0.5138253025242641,
           0.5448403316924462,
           0.574966037378775,
           0.604153246466069,
           0.6323543177117497,
           0.6595232195109348,
           0.6856156050321882,
           0.7105888846032915,
           0.7344022952288292,
           0.7570169671261873,
           0.7783959871713124,
           0.7985044591506933,
           0.8173095607212035,
           0.8347805969848479,
           0.8508890505909483,
           0.8656086282840059,
           0.8789153038212396,
           0.8907873571897726,
           0.9012054100594329,
           0.9101524574133132,
           0.9176138953044547,
           0.9235775446933501,
           0.9280336713273553,
           0.9309750016295653,
           0.9323967345712133,
           0.9322965495082202,
           0.9306746099690987,
           0.9275335633880313,
           0.9228785367835581,
           0.9167171283899282,
           0.909059395254769,
           0.8999178368233293,
           0.8893073745360758,
           0.8772453274729615,
           0.8637513840841022,
           0.8488475700530262,
           0.8325582123449298,
           0.8149098994986397,
           0.7959314382270906,
           0.7756538063971474,
           0.754110102465539,
           0.7313354914534242,
           0.7073671475477803,
           0.682244193423303,
           0.6560076363838485,
           0.6287003014276804,
           0.6003667613457453,
           0.57105326396709,
           0.5408076566701814,
           0.5096793082833311,
           0.47771902850171255,
           0.4449789849525043,
           0.4115126180435329,
           0.3773745537343931,
           0.3426205143724399,
           0.3073072277391793,
           0.2714923344555391,
           0.2352342938971308,
           0.1985922887730851,
           0.16162612852422864,
           0.12439615169826546,
           0.08696312746130364
          ],
          [
           -1.1168247271353464,
           -1.0864478121312393,
           -1.0542975270314634,
           -1.020426349602125,
           -0.9848895665606139,
           -0.9477451833330921,
           -0.9090538293742894,
           -0.8688786592041926,
           -0.827285249323185,
           -0.7843414911738567,
           -0.740117480324205,
           -0.6946854020531532,
           -0.6481194135250803,
           -0.600495522745712,
           -0.5518914644969746,
           -0.5023865734532675,
           -0.45206165468629234,
           -0.40099885176983374,
           -0.34928151269969376,
           -0.29699405384775357,
           -0.2442218221721184,
           -0.19105095590831933,
           -0.13756824396894096,
           -0.08386098428116373,
           -0.030016841293464047,
           0.023876297115941192,
           0.07773046309535214,
           0.13145775240638002,
           0.18497046790690508,
           0.2381812626960027,
           0.29100328268717846,
           0.3433503083772065,
           0.39513689557914944,
           0.44627851488986714,
           0.4966916896643587,
           0.5462941322717079,
           0.5950048784102577,
           0.6427444192627707,
           0.689434831275821,
           0.7349999033516537,
           0.7793652612448363,
           0.8224584889607005,
           0.8642092469573921,
           0.9045493869585934,
           0.9434130631895368,
           0.9807368398547225,
           1.0164597946818987,
           1.0505236183633273,
           1.0828727097319883,
           1.1134542665173877,
           1.1422183715328198,
           1.1691180741534206,
           1.1941094669519972,
           1.2171517573675608,
           1.2382073342895696,
           1.25724182944921,
           1.2742241735174946,
           1.2891266468186244,
           1.301924924575828,
           1.3125981166158296,
           1.321128801467135,
           1.3275030547964792,
           1.3317104721370208,
           1.3337441858711823,
           1.3336008764404177,
           1.3312807777636104,
           1.3267876768552551,
           1.3201289076440499,
           1.311315339001983,
           1.3003613570034638,
           1.2872848414434408,
           1.272107136652854,
           1.2548530166590381,
           1.2355506447479634,
           1.2142315274943034,
           1.1909304633343762,
           1.1656854857658963,
           1.1385378012672471,
           1.1095317220376142,
           1.078714593667761,
           1.0461367178595031,
           1.0118512703200366,
           0.9759142139651145,
           0.9383842075727791,
           0.8993225100367246,
           0.8587928803755815,
           0.816861473661346,
           0.7735967330368023,
           0.7290692779982271,
           0.6833517891256888,
           0.6365188894491292,
           0.5886470226438485,
           0.5398143282542112,
           0.49010051414925204,
           0.4395867264183524,
           0.3883554169193797,
           0.33649020869543733,
           0.28407575947996033,
           0.23119762351290785,
           0.1779421118936142
          ],
          [
           -1.4881740363474323,
           -1.451074285037802,
           -1.4116059968183068,
           -1.3698335943710762,
           -1.325825261301894,
           -1.2796528308465183,
           -1.231391668619838,
           -1.181120549599286,
           -1.1289215295432218,
           -1.0748798110542541,
           -1.0190836045060605,
           -0.9616239840607257,
           -0.9025947390116422,
           -0.8420922206945818,
           -0.7802151852168251,
           -0.717064632261101,
           -0.6527436402273921,
           -0.5873571979817234,
           -0.5210120334865875,
           -0.4538164395926829,
           -0.3858800972763383,
           -0.31731389661118037,
           -0.24822975576619477,
           -0.1787404383256863,
           -0.10895936922930272,
           -0.03900044963252913,
           0.031022129010102262,
           0.10099407133566807,
           0.1708011646331027,
           0.24032946526853927,
           0.30946548467145263,
           0.3780963745780115,
           0.44611011122928446,
           0.5133956782236293,
           0.5798432477248223,
           0.6453443597301218,
           0.7097920991056696,
           0.7730812701002616,
           0.8351085680526253,
           0.8957727480119462,
           0.9549747899963896,
           1.0126180606199062,
           1.0686084708234516,
           1.1228546294532205,
           1.175267992435176,
           1.2257630073023784,
           1.2742572528392442,
           1.320671573614757,
           1.3649302091850544,
           1.4069609177545246,
           1.4466950940934922,
           1.4840678815201114,
           1.5190182777636099,
           1.55148923453613,
           1.581427750650615,
           1.608784958532761,
           1.633516203985821,
           1.6555811190780578,
           1.6749436880338853,
           1.6915723060211365,
           1.705439830738504,
           1.7165236267189545,
           1.724805602276796,
           1.7302722390380918,
           1.7329146140062206,
           1.732728414126568,
           1.7297139433265698,
           1.7238761220196246,
           1.7152244790736755,
           1.703773136257581,
           1.6895407851906503,
           1.6725506568329842,
           1.6528304835663987,
           1.6304124539278515,
           1.6053331600692349,
           1.5776335380293092,
           1.547358800915266,
           1.5145583651029797,
           1.4792857695764163,
           1.441598588537857,
           1.4015583374315752,
           1.3592303725343697,
           1.3146837842768333,
           1.2679912844695092,
           1.219229087617987,
           1.1684767865206767,
           1.1158172223523222,
           1.0613363494452912,
           1.0051230949893886,
           0.9472692138791574,
           0.887869138945641,
           0.8270198268170303,
           0.7648205996598056,
           0.7013729830587048,
           0.6367805403001219,
           0.5711487033294489,
           0.5045846006582488,
           0.43719688250220656,
           0.3690955434352592,
           0.300391742849345
          ],
          [
           -1.8711406133234303,
           -1.828540290294784,
           -1.7829553060303884,
           -1.734460067277639,
           -1.6831337310887333,
           -1.6290600756154654,
           -1.5723273633611181,
           -1.5130281971127086,
           -1.4512593687887705,
           -1.3871217014493507,
           -1.3207198847260972,
           -1.2521623039411258,
           -1.1815608631935008,
           -1.1090308027021543,
           -1.0346905107033897,
           -0.9586613302099734,
           -0.8810673609472399,
           -0.8020352567895586,
           -0.7216940190276846,
           -0.6401747858045699,
           -0.5576106180632321,
           -0.47413628235610794,
           -0.3898880308704138,
           -0.30500337902854824,
           -0.21962088102655475,
           -0.1338799036770526,
           -0.047920398925737295,
           0.03811732458719774,
           0.1240928305478528,
           0.2098657841978273,
           0.29529618139765024,
           0.38024457715054893,
           0.46457231321355863,
           0.5481417444244343,
           0.6308164633749573,
           0.7124615230638831,
           0.7929436571661324,
           0.8721314975586756,
           0.9498957887480364,
           1.026109598849437,
           1.1006485267731958,
           1.1733909052801987,
           1.2442179995750067,
           1.313014201112428,
           1.3796672163012356,
           1.444068249797008,
           1.506112182084884,
           1.565697741062411,
           1.6227276673423998,
           1.677108873005952,
           1.7287525935465586,
           1.7775745327572483,
           1.8234950003242822,
           1.8664390419028207,
           1.9063365614622276,
           1.9431224357013306,
           1.9767366203468664,
           2.007124248161609,
           2.0342357185022117,
           2.05802677828057,
           2.0784585941965616,
           2.0954978161242614,
           2.109116631548165,
           2.1192928109605673,
           2.126009744145996,
           2.1292564672934775,
           2.129027680892373,
           2.1253237583825824,
           2.11815074554499,
           2.1075203506331555,
           2.093449925262343,
           2.075962436087101,
           2.0550864273136082,
           2.0308559741079817,
           2.0033106269765955,
           1.9724953472091973,
           1.9384604334901974,
           1.9012614397979126,
           1.8609590847257858,
           1.8176191523735894,
           1.771312384970377,
           1.7221143674044654,
           1.670105403848905,
           1.6153703866838418,
           1.5579986579297058,
           1.4980838634174063,
           1.4357237999335837,
           1.3710202555903868,
           1.3040788436803643,
           1.2350088302876459,
           1.1639229559368025,
           1.090937251570499,
           1.0161708491563175,
           0.9397457872318857,
           0.8617868117057155,
           0.7824211722389016,
           0.7017784145400183,
           0.6199901689122767,
           0.5371899353980698,
           0.45351286587159123
          ]
         ]
        },
        {
         "marker": {
          "color": [
           0,
           1,
           2,
           3,
           4,
           5,
           6,
           7,
           8,
           9,
           10,
           11,
           12,
           13,
           14,
           15,
           16,
           17,
           18,
           19,
           20,
           21,
           22,
           23,
           24,
           25,
           26,
           27,
           28,
           29,
           30,
           31,
           32,
           33,
           34,
           35,
           36,
           37,
           38,
           39,
           40,
           41,
           42,
           43,
           44,
           45,
           46,
           47,
           48,
           49,
           50,
           51,
           52,
           53,
           54,
           55,
           56,
           57,
           58,
           59,
           60,
           61,
           62,
           63,
           64,
           65,
           66,
           67,
           68,
           69,
           70,
           71,
           72,
           73,
           74,
           75,
           76,
           77,
           78,
           79,
           80,
           81,
           82,
           83,
           84,
           85,
           86,
           87,
           88,
           89,
           90,
           91,
           92,
           93,
           94,
           95,
           96,
           97,
           98,
           99,
           100,
           101,
           102,
           103,
           104,
           105,
           106,
           107,
           108,
           109,
           110,
           111,
           112,
           113,
           114,
           115,
           116,
           117,
           118,
           119,
           120,
           121,
           122,
           123,
           124,
           125,
           126,
           127,
           128,
           129,
           130,
           131,
           132,
           133,
           134,
           135,
           136,
           137,
           138,
           139,
           140,
           141,
           142,
           143,
           144,
           145,
           146,
           147,
           148,
           149,
           150,
           151,
           152,
           153,
           154,
           155,
           156,
           157,
           158,
           159,
           160,
           161,
           162,
           163,
           164,
           165,
           166,
           167,
           168,
           169,
           170,
           171,
           172,
           173,
           174,
           175,
           176,
           177,
           178,
           179,
           180,
           181,
           182,
           183,
           184,
           185,
           186,
           187,
           188,
           189,
           190,
           191,
           192,
           193,
           194,
           195
          ],
          "colorscale": [
           [
            0,
            "rgb(255,245,240)"
           ],
           [
            0.125,
            "rgb(254,224,210)"
           ],
           [
            0.25,
            "rgb(252,187,161)"
           ],
           [
            0.375,
            "rgb(252,146,114)"
           ],
           [
            0.5,
            "rgb(251,106,74)"
           ],
           [
            0.625,
            "rgb(239,59,44)"
           ],
           [
            0.75,
            "rgb(203,24,29)"
           ],
           [
            0.875,
            "rgb(165,15,21)"
           ],
           [
            1,
            "rgb(103,0,13)"
           ]
          ],
          "opacity": 0.8,
          "size": 6
         },
         "mode": "markers",
         "type": "scatter3d",
         "x": [
          1,
          0.9309113354661982,
          0.8678952457584926,
          0.81006986185912,
          0.7563858415933743,
          0.7058852263898537,
          0.6577873780716726,
          0.6114923377890915,
          0.5665548714797677,
          0.5226530486262142,
          0.479559963522985,
          0.4371207302739327,
          0.39523453314687634,
          0.35384085642662877,
          0.312908975928991,
          0.2724299371222631,
          0.23241041510967625,
          0.19286800009388344,
          0.153827568417812,
          0.1153184867491496,
          0.07737246137986412,
          0.040021891645872804,
          0.0032986207492579356,
          -0.03276699771579568,
          -0.06814678089471785,
          -0.102815195292202,
          -0.13674967262919413,
          -0.16993079507889575,
          -0.20234237618782785,
          -0.23397145922448512,
          -0.26480825105288736,
          -0.29484600665347427,
          -0.32408087693738186,
          -0.35251173040419503,
          -0.38013995739735656,
          -0.4069692641606672,
          -0.43300546255581673,
          -0.4582562601375632,
          -0.4827310542796333,
          -0.5064407331841887,
          -0.5293974858765649,
          -0.5516146226719516,
          -0.5731064070895058,
          -0.5938878997703587,
          -0.6139748146179244,
          -0.6333833871112271,
          -0.6521302545347372,
          -0.6702323477122695,
          -0.6877067937195676,
          -0.7045708289727981,
          -0.7208417220417666,
          -0.7365367055114966,
          -0.7516729162089919,
          -0.7662673431193354,
          -0.7803367823332944,
          -0.7938977983943925,
          -0.8069666914446219,
          -0.8195594696026995,
          -0.8316918260454944,
          -0.8433791203008044,
          -0.8546363632971122,
          -0.8654782057526302,
          -0.8759189295213513,
          -0.8859724415476111,
          -0.8956522701126051,
          -0.9049715630862564,
          -0.9139430879257373,
          -0.9225792331877951,
          -0.9308920113458606,
          -0.9388930627247893,
          -0.9465936603860791,
          -0.9540047158146314,
          -0.9611367852746813,
          -0.968000076717515,
          -0.9746044571371609,
          -0.980959460282456,
          -0.9870742946448954,
          -0.9929578516515537,
          -0.9986187140012178,
          -1.0040651640897993,
          -1.0093051924781717,
          -1.014346506361891,
          -1.0191965380078765,
          -1.0238624531281262,
          -1.028351159164973,
          -1.032669313466317,
          -1.036823331332739,
          -1.0408193939214727,
          -1.0446634559949073,
          -1.0483612535036768,
          -1.0519183109964727,
          -1.0553399488505415,
          -1.0586312903184285,
          -1.0617972683879138,
          -1.064842632453293,
          -1.0677719547972002,
          -1.07058963688307,
          -1.073299915459104,
          -1.0759068684752726,
          -1.078414420815434,
          -1.0808263498471324,
          -1.083146290792021,
          -1.0853777419201913,
          -1.0875240695719468,
          -1.0895885130107765,
          -1.0915741891114508,
          -1.093484096887286,
          -1.0953211218607193,
          -1.0970880402813925,
          -1.0987875231959852,
          -1.100422140374042,
          -1.1019943640940373,
          -1.103506572793896,
          -1.104961054590147,
          -1.106360010669843,
          -1.107705558559313,
          -1.1089997352737495,
          -1.110244500351556,
          -1.1114417387772988,
          -1.1125932637970224,
          -1.113700819629597,
          -1.1147660840776783,
          -1.1157906710417622,
          -1.1167761329407269,
          -1.1177239630421547,
          -1.1186355977056361,
          -1.1195124185421577,
          -1.1203557544925848,
          -1.1211668838281583,
          -1.1219470360758248,
          -1.1226973938711384,
          -1.1234190947413747,
          -1.124113232821416,
          -1.1247808605048786,
          -1.125422990032867,
          -1.1260405950226642,
          -1.1266346119385822,
          -1.1272059415071205,
          -1.1277554500785076,
          -1.1282839709366244,
          -1.1287923055592375,
          -1.1292812248304054,
          -1.129751470206846,
          -1.1302037548399972,
          -1.1306387646554357,
          -1.131057159391257,
          -1.131459573596966,
          -1.1318466175943633,
          -1.132218878401868,
          -1.132576920623652,
          -1.1329212873049213,
          -1.1332525007546248,
          -1.1335710633368221,
          -1.1338774582318996,
          -1.1341721501687787,
          -1.134455586129216,
          -1.1347281960252542,
          -1.1349903933508443,
          -1.1352425758086213,
          -1.1354851259127752,
          -1.1357184115689283,
          -1.135942786631894,
          -1.1361585914421557,
          -1.1363661533418787,
          -1.1365657871712334,
          -1.1367577957457775,
          -1.136942470315623,
          -1.1371200910070773,
          -1.137290927247429,
          -1.1374552381735195,
          -1.1376132730247202,
          -1.1377652715209068,
          -1.1379114642260058,
          -1.1380520728976615,
          -1.1381873108235536,
          -1.1383173831448745,
          -1.1384424871674552,
          -1.1385628126610134,
          -1.138678542146974,
          -1.1387898511752998,
          -1.1388969085907523,
          -1.1389998767889835,
          -1.1390989119628503,
          -1.1391941643393209,
          -1.139285778407336,
          -1.139373893136967,
          -1.139458642190205,
          -1.1395401541237002,
          -1.1396185525837583,
          -1.1396939564938897,
          -1.1397664802351963,
          -1.1398362338198689,
          -1.139903323058058,
          -1.1399678497183723,
          -1.1400299116822463,
          -1.140089603092413
         ],
         "y": [
          1,
          1.0540302305868139,
          1.0923861514196762,
          1.1175060992695927,
          1.1320398397876825,
          1.1383459016806632,
          1.1383448766630055,
          1.133536127046174,
          1.1250679218824993,
          1.1138133531823053,
          1.1004358450131289,
          1.085441072520317,
          1.0692166007476915,
          1.052061643764336,
          1.0342092480871297,
          1.0158427867459474,
          0.9971082160556711,
          0.9781231841957866,
          0.9589838003662746,
          0.9397696637578148,
          0.9205475969352254,
          0.9013744144369704,
          0.8822989734911875,
          0.8633636916269055,
          0.8446056697309522,
          0.8260575245238813,
          0.8077480084434366,
          0.7897024753175401,
          0.7719432353684528,
          0.7544898318339274,
          0.737359262947535,
          0.7205661665402595,
          0.7041229796229804,
          0.6880400816177862,
          0.6723259271461416,
          0.6569871722398853,
          0.6420287963517406,
          0.6274542214771761,
          0.6132654289588495,
          0.5994630740499456,
          0.586046598001818,
          0.5730143372660702,
          0.560363629323731,
          0.5480909146450966,
          0.5361918343204708,
          0.5246613229672299,
          0.5134936965995066,
          0.5026827352339166,
          0.492221760091504,
          0.4821037053379321,
          0.47232118437803955,
          0.46286655078561173,
          0.4537319540039067,
          0.4449093899970965,
          0.4363907470677932,
          0.4281678470819508,
          0.42023248236059085,
          0.41257644850897285,
          0.4051915734590417,
          0.39806974300119435,
          0.3912029230775421,
          0.38458317910173034,
          0.37820269256075195,
          0.372053775142711,
          0.36612888062170573,
          0.36042061471737924,
          0.35492174313261926,
          0.349625197958691,
          0.344524082623014,
          0.33961167554103855,
          0.33488143262039527,
          0.3303269887527827,
          0.3259421584170088,
          0.32172093550525055,
          0.3176574924739756,
          0.31374617891108153,
          0.3099815196016497,
          0.3063582121662659,
          0.30287112433809743,
          0.29951529093781337,
          0.29628591059895143,
          0.2931783422904356,
          0.29018810167759646,
          0.2873108573582015,
          0.2845424270056277,
          0.28187877344736806,
          0.27931600070351953,
          0.2768503500067213,
          0.27447819582216504,
          0.27219604188375474,
          0.2700005172602247,
          0.26788837246300207,
          0.265856475605806,
          0.26390180862438223,
          0.26202146356336137,
          0.2602126389359846,
          0.25847263616134175,
          0.2567988560828008,
          0.25518879557046215,
          0.2536400442097274,
          0.25215028107742654,
          0.25071727160638513,
          0.24933886453882412,
          0.24801298896856477,
          0.2467376514716481,
          0.24551093332467017,
          0.24433098780986987,
          0.24319603760578506,
          0.24210437226210632,
          0.24105434575720397,
          0.2400443741366784,
          0.2390729332311819,
          0.2381385564516816,
          0.23723983266027193,
          0.23637540411460026,
          0.23554396448394105,
          0.23474425693493484,
          0.2339750722850024,
          0.23323524722144692,
          0.2325236625842675,
          0.23183924171072393,
          0.23118094883971665,
          0.23054778757407213,
          0.22993879939885684,
          0.22935306225387728,
          0.22878968915856127,
          0.22824782688745576,
          0.2277266546946178,
          0.22722538308521806,
          0.22674325263271974,
          0.22627953284004024,
          0.22583352104314752,
          0.22540454135558735,
          0.22499194365248257,
          0.22459510259258944,
          0.22421341667704034,
          0.22384630734344477,
          0.22349321809406386,
          0.22315361365681508,
          0.22282697917790473,
          0.2225128194449269,
          0.22221065813930543,
          0.22192003711699537,
          0.2216405157163964,
          0.22137167009246836,
          0.22111309257607323,
          0.2208643910576032,
          0.2206251883939875,
          0.22039512183820326,
          0.2201738424904466,
          0.21996101477015154,
          0.21975631590807262,
          0.21955943545767653,
          0.21937007482511534,
          0.21918794681708043,
          0.2190127752058622,
          0.2188442943109657,
          0.2186822485966557,
          0.21852639228482879,
          0.2183764889826319,
          0.2182323113242685,
          0.21809364062645464,
          0.2179602665570064,
          0.21783198681606145,
          0.21770860682945375,
          0.2175899394537805,
          0.2174758046927164,
          0.21736602942414815,
          0.21726044713771697,
          0.2171588976823738,
          0.21706122702356567,
          0.21696728700968676,
          0.21687693514744147,
          0.21679003438577982,
          0.21670645290807886,
          0.21662606393225578,
          0.2165487455185105,
          0.21647438038440675,
          0.21640285572701212,
          0.2163340630518279,
          0.21626789800824964,
          0.21620426023130945,
          0.21614305318946053,
          0.2160841840381733,
          0.21602756347912155,
          0.21597310562474503,
          0.21592072786798389,
          0.2158703507569871,
          0.21582189787460518,
          0.2157752957224848,
          0.21573047360958936,
          0.21568736354497683,
          0.2156459001346723,
          0.21560602048247876,
          0.21556766409457595,
          0.2155307727877626
         ],
         "z": [
          -1.505843394698784,
          -2.2129641713147965,
          -2.715900204443005,
          -3.08828710511189,
          -3.3831687054869297,
          -3.634175392568614,
          -3.8612241540424384,
          -4.075636165600999,
          -4.283634043334835,
          -4.4884914829759675,
          -4.691794575519368,
          -4.8941678874213785,
          -5.095690485391705,
          -5.296135322836546,
          -5.495108523285432,
          -5.692131849063149,
          -5.886692698746094,
          -6.078275296793654,
          -6.26638074325911,
          -6.45054023290152,
          -6.630323876414607,
          -6.80534651297328,
          -6.975271327894687,
          -7.139811775978348,
          -7.298732143438027,
          -7.451846993139323,
          -7.599019691672988,
          -7.740160191606841,
          -7.8752222265054685,
          -8.004200063881914,
          -8.127124949185403,
          -8.244061361049638,
          -8.35510318411483,
          -8.46036989107073,
          -8.56000281062848,
          -8.654161543434412,
          -8.743020573954368,
          -8.826766113450887,
          -8.905593197604992,
          -8.979703052248485,
          -9.049300732126522,
          -9.114593030581284,
          -9.175786652455798,
          -9.233086638241433,
          -9.28669502438861,
          -9.336809722610923,
          -9.383623599780138,
          -9.42732373948132,
          -9.468090866332538,
          -9.506098914645294,
          -9.541514723798942,
          -9.574497843729702,
          -9.605200435113158,
          -9.633767250083203,
          -9.660335680628739,
          -9.685035863101724,
          -9.707990828526167,
          -9.729316689595734,
          -9.749122856372702,
          -9.76751227374385,
          -9.784581674644844,
          -9.800421843932119,
          -9.815117888561673,
          -9.828749510430502,
          -9.841391278853042,
          -9.853112900187396,
          -9.863979482599778,
          -9.874051794366686,
          -9.883386514468793,
          -9.892036474533871,
          -9.900050891444362,
          -9.907475590143076,
          -9.914353216353149,
          -9.9207234390801,
          -9.926623142888577,
          -9.932086610047968,
          -9.93714569272232,
          -9.941829975444511,
          -9.94616692816406,
          -9.950182050195336,
          -9.953899005419757,
          -9.957339749113634,
          -9.960524646784258,
          -9.963472585401732,
          -9.966201077414123,
          -9.968726357929617,
          -9.971063475442435,
          -9.973226376469864,
          -9.975227984456392,
          -9.977080273288388,
          -9.978794335749022,
          -9.980380447228892,
          -9.981848124993133,
          -9.983206183290939,
          -9.984462784578714,
          -9.985625487113365,
          -9.986701289158047,
          -9.987696670028612,
          -9.988617628195673,
          -9.989469716644077,
          -9.990258075679233,
          -9.99098746335778,
          -9.991662283708774,
          -9.99228661290082,
          -9.992864223500353,
          -9.99339860695667,
          -9.99389299444018,
          -9.994350376151814,
          -9.994773519213457,
          -9.995164984241727,
          -9.995527140700307,
          -9.995862181119428,
          -9.99617213426485,
          -9.996458877332909,
          -9.996724147242755,
          -9.996969551091846,
          -9.99719657583605,
          -9.997406597251281,
          -9.997600888229535,
          -9.997780626458297,
          -9.997946901528895,
          -9.998100721515844,
          -9.99824301906639,
          -9.998374657036441,
          -9.99849643370651,
          -9.998609087608791,
          -9.998713301994224,
          -9.998809708966299,
          -9.998898893306324,
          -9.99898139601314,
          -9.99905771757849,
          -9.999128321017741,
          -9.999193634674164,
          -9.999254054813669,
          -9.999309948025562,
          -9.99936165344387,
          -9.999409484802532,
          -9.999453732336914,
          -9.99949466454309,
          -9.99953252980552,
          -9.99956755790297,
          -9.999599961401714,
          -9.999629936944512,
          -9.999657666443106,
          -9.999683318181468,
          -9.99970704783646,
          -9.999728999422075,
          -9.999749306163023,
          -9.999768091302876,
          -9.999785468851707,
          -9.999801544277775,
          -9.999816415147372,
          -9.999830171716788,
          -9.99984289747992,
          -9.999854669674889,
          -9.999865559752688,
          -9.999875633810746,
          -9.99988495299402,
          -9.99989357386602,
          -9.999901548752074,
          -9.999908926056847,
          -9.999915750558099,
          -9.999922063678422,
          -9.999927903736628,
          -9.999933306180303,
          -9.999938303800928,
          -9.999942926932903,
          -9.999947203637646,
          -9.999951159873893,
          -9.999954819655265,
          -9.999958205195998,
          -9.999961337045784,
          -9.999964234214477,
          -9.999966914287485,
          -9.999969393532508,
          -9.999971686998256,
          -9.999973808605812,
          -9.999975771233105,
          -9.999977586793092,
          -9.999979266306052,
          -9.999980819966487,
          -9.999982257204987,
          -9.999983586745483,
          -9.999984816658191,
          -9.9999859544086,
          -9.999987006902783,
          -9.999987980529317,
          -9.999988881198064,
          -9.999989714376035,
          -9.999990485120577,
          -9.999991198110076,
          -9.999991857672345,
          -9.999992467810902,
          -9.999993032229263,
          -9.999993554353427,
          -9.999994037352668
         ]
        }
       ],
       "layout": {
        "autosize": false,
        "height": 700,
        "margin": {
         "b": 65,
         "l": 65,
         "r": 50,
         "t": 90
        },
        "scene": {
         "aspectmode": "auto",
         "aspectratio": {
          "x": 1,
          "y": 1,
          "z": 1
         },
         "camera": {
          "center": {
           "x": 0,
           "y": 0,
           "z": 0
          },
          "eye": {
           "x": 0.31301143423007594,
           "y": 1.6337726936838146,
           "z": 1.3857527295352388
          },
          "projection": {
           "type": "perspective"
          },
          "up": {
           "x": 0,
           "y": 0,
           "z": 1
          }
         }
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             }
            },
            "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": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "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": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "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": "Loss function"
        },
        "width": 700
       }
      },
      "text/html": [
       "<div>                            <div id=\"8584d7e2-7f51-4b6f-9ed5-f503d6470f98\" class=\"plotly-graph-div\" style=\"height:700px; width:700px;\"></div>            <script type=\"text/javascript\">                require([\"plotly\"], function(Plotly) {                    window.PLOTLYENV=window.PLOTLYENV || {};                                    if (document.getElementById(\"8584d7e2-7f51-4b6f-9ed5-f503d6470f98\")) {                    Plotly.newPlot(                        \"8584d7e2-7f51-4b6f-9ed5-f503d6470f98\",                        [{\"colorscale\": [[0.0, \"rgb(214, 249, 207)\"], [0.09090909090909091, \"rgb(186, 228, 174)\"], [0.18181818181818182, \"rgb(156, 209, 143)\"], [0.2727272727272727, \"rgb(124, 191, 115)\"], [0.36363636363636365, \"rgb(85, 174, 91)\"], [0.45454545454545453, \"rgb(37, 157, 81)\"], [0.5454545454545454, \"rgb(7, 138, 78)\"], [0.6363636363636364, \"rgb(13, 117, 71)\"], [0.7272727272727273, \"rgb(23, 95, 61)\"], [0.8181818181818182, \"rgb(25, 75, 49)\"], [0.9090909090909091, \"rgb(23, 55, 35)\"], [1.0, \"rgb(17, 36, 20)\"]], \"contours\": {\"x\": {\"show\": true}, \"y\": {\"show\": true}}, \"opacity\": 0.75, \"showscale\": false, \"type\": \"surface\", \"x\": [[-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0], [-2.0, -1.9595959595959596, -1.9191919191919191, -1.878787878787879, -1.8383838383838385, -1.797979797979798, -1.7575757575757576, -1.7171717171717171, -1.6767676767676767, -1.6363636363636362, -1.595959595959596, -1.5555555555555556, -1.5151515151515151, -1.4747474747474747, -1.4343434343434343, -1.393939393939394, -1.3535353535353534, -1.3131313131313131, -1.2727272727272727, -1.2323232323232323, -1.1919191919191918, -1.1515151515151514, -1.1111111111111112, -1.0707070707070705, -1.0303030303030303, -0.9898989898989898, -0.9494949494949494, -0.909090909090909, -0.8686868686868685, -0.8282828282828283, -0.7878787878787878, -0.7474747474747474, -0.707070707070707, -0.6666666666666665, -0.6262626262626261, -0.5858585858585856, -0.5454545454545454, -0.505050505050505, -0.46464646464646453, -0.4242424242424241, -0.38383838383838365, -0.3434343434343432, -0.303030303030303, -0.26262626262626254, -0.2222222222222221, -0.18181818181818166, -0.14141414141414121, -0.10101010101010077, -0.06060606060606055, -0.02020202020202011, 0.020202020202020332, 0.060606060606060996, 0.10101010101010122, 0.14141414141414144, 0.1818181818181821, 0.22222222222222232, 0.262626262626263, 0.3030303030303032, 0.3434343434343434, 0.3838383838383841, 0.4242424242424243, 0.464646464646465, 0.5050505050505052, 0.5454545454545459, 0.5858585858585861, 0.6262626262626263, 0.666666666666667, 0.7070707070707072, 0.7474747474747478, 0.7878787878787881, 0.8282828282828287, 0.868686868686869, 0.9090909090909092, 0.9494949494949498, 0.9898989898989901, 1.0303030303030307, 1.070707070707071, 1.1111111111111112, 1.1515151515151518, 1.191919191919192, 1.2323232323232327, 1.272727272727273, 1.3131313131313136, 1.3535353535353538, 1.393939393939394, 1.4343434343434347, 1.474747474747475, 1.5151515151515156, 1.5555555555555558, 1.5959595959595965, 1.6363636363636367, 1.676767676767677, 1.7171717171717176, 1.7575757575757578, 1.7979797979797985, 1.8383838383838387, 1.878787878787879, 1.9191919191919196, 1.9595959595959598, 2.0]], \"y\": [[-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, -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, -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], [-1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596, -1.9595959595959596], [-1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191, -1.9191919191919191], [-1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879, -1.878787878787879], [-1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385, -1.8383838383838385], [-1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798, -1.797979797979798], [-1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576, -1.7575757575757576], [-1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171, -1.7171717171717171], [-1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767, -1.6767676767676767], [-1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362, -1.6363636363636362], [-1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596, -1.595959595959596], [-1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556, -1.5555555555555556], [-1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151, -1.5151515151515151], [-1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747, -1.4747474747474747], [-1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343, -1.4343434343434343], [-1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394, -1.393939393939394], [-1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534, -1.3535353535353534], [-1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131, -1.3131313131313131], [-1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727, -1.2727272727272727], [-1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323, -1.2323232323232323], [-1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918, -1.1919191919191918], [-1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514, -1.1515151515151514], [-1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112, -1.1111111111111112], [-1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705, -1.0707070707070705], [-1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303, -1.0303030303030303], [-0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898, -0.9898989898989898], [-0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494, -0.9494949494949494], [-0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909, -0.909090909090909], [-0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685, -0.8686868686868685], [-0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283, -0.8282828282828283], [-0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878, -0.7878787878787878], [-0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474, -0.7474747474747474], [-0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707, -0.707070707070707], [-0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665, -0.6666666666666665], [-0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261, -0.6262626262626261], [-0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856, -0.5858585858585856], [-0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454, -0.5454545454545454], [-0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505, -0.505050505050505], [-0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453, -0.46464646464646453], [-0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241, -0.4242424242424241], [-0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365, -0.38383838383838365], [-0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432, -0.3434343434343432], [-0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303, -0.303030303030303], [-0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254, -0.26262626262626254], [-0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221, -0.2222222222222221], [-0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166, -0.18181818181818166], [-0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121, -0.14141414141414121], [-0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077, -0.10101010101010077], [-0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055, -0.06060606060606055], [-0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011, -0.02020202020202011], [0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332, 0.020202020202020332], [0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996, 0.060606060606060996], [0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122, 0.10101010101010122], [0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144, 0.14141414141414144], [0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821, 0.1818181818181821], [0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232, 0.22222222222222232], [0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263, 0.262626262626263], [0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032, 0.3030303030303032], [0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434, 0.3434343434343434], [0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841, 0.3838383838383841], [0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243, 0.4242424242424243], [0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465, 0.464646464646465], [0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052, 0.5050505050505052], [0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459, 0.5454545454545459], [0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861, 0.5858585858585861], [0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263, 0.6262626262626263], [0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667, 0.666666666666667], [0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072, 0.7070707070707072], [0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478, 0.7474747474747478], [0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881, 0.7878787878787881], [0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287, 0.8282828282828287], [0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869, 0.868686868686869], [0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092, 0.9090909090909092], [0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498, 0.9494949494949498], [0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901, 0.9898989898989901], [1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307, 1.0303030303030307], [1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071, 1.070707070707071], [1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112, 1.1111111111111112], [1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518, 1.1515151515151518], [1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192, 1.191919191919192], [1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327, 1.2323232323232327], [1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273, 1.272727272727273], [1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136, 1.3131313131313136], [1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538, 1.3535353535353538], [1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394, 1.393939393939394], [1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347, 1.4343434343434347], [1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475, 1.474747474747475], [1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156, 1.5151515151515156], [1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558, 1.5555555555555558], [1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965, 1.5959595959595965], [1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367, 1.6363636363636367], [1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677, 1.676767676767677], [1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176, 1.7171717171717176], [1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578, 1.7575757575757578], [1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985, 1.7979797979797985], [1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387, 1.8383838383838387], [1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879, 1.878787878787879], [1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196, 1.9191919191919196], [1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598, 1.9595959595959598], [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, 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, 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]], \"z\": [[1.2782690298103492, 1.0403307992322688, 0.8006944737173178, 0.5597512031106624, 0.3178942705374328, 0.07551845046067385, -0.16698063569497235, -0.4092071653020328, -0.6507657606173796, -0.8912621341432607, -1.130303732208744, -1.36750037572111, -1.6024648970412811, -1.8348137719438, -2.0641677456297605, -2.290152451770913, -2.512399023574513, -2.730544695871444, -2.944233397244906, -3.153116331233097, -3.356852545657283, -3.555109489145895, -3.747563553946294, -3.9339006041381968, -4.113816488386546, -4.287017536396926, -4.453221038263113, -4.612155705924409, -4.763562115979482, -4.907193133133944, -5.042814313590509, -5.1702042877232515, -5.2891551214113655, -5.399472655442634, -5.500976822432602, -5.593501940742157, -5.6768969849137685, -5.751025832184972, -5.8157674846767105, -5.871016266893856, -5.916681998215575, -5.95269014009393, -5.97898191772051, -5.995514415962456, -6.002260649411296, -5.9992096064302824, -5.986366267128281, -5.963751595230923, -5.9314025038622615, -5.889371795292791, -5.837728074752187, -5.7765556384474115, -5.705954335969051, -5.626039407310344, -5.536941294765061, -5.438805430011201, -5.331791996728016, -5.2160756691339065, -5.091845326871917, -4.959303746708199, -4.8186672715467305, -4.670165457300484, -4.514040698195482, -4.350547831119332, -4.179953719660043, -4.0025368185140815, -3.818586718974693, -3.6284036762423395, -3.432298119328808, -3.230590144355004, -3.0236089920694265, -2.8116925104402313, -2.595186603197998, -2.374444665229392, -2.149827005743276, -1.9217002601507902, -1.6904367916194492, -1.4564140832779677, -1.220014122063998, -0.9816227752204614, -0.7416291604581455, -0.500425010812751, -0.25840403523297883, -0.015961275943426223, 0.22650753636876608, 0.46860662849103774, 0.7099408306919379, 0.9501162217426078, 1.188740771900382, 1.425424982805004, 1.6597825232428942, 1.8914308597418907, 2.1199918809669978, 2.3450925148980315, 2.5663653377818605, 2.7834491738650735, 2.9959896849283196, 3.203639948659988, 3.4060610249251275, 3.6029225090053707], [1.4313901528325963, 1.2084251911950812, 0.9834877601273888, 0.7569450169924328, 0.5291667394468882, 0.3005247218662692, 0.07139216847820862, -0.15785691580552008, -0.3868483358639083, -0.6152083171520975, -0.8425641158002541, -1.0685446270301306, -1.2927809908961843, -1.5149071943625385, -1.7345606687330286, -1.9513828814591916, -2.165019921360178, -2.3751230762993707, -2.581349402374806, -2.7833622836942933, -2.9808319818215505, -3.173436173996524, -3.3608604792513592, -3.542798971563263, -3.718954679206656, -3.8890400694895613, -4.052777518082981, -4.2098997621772, -4.360150336725362, -4.50328399306225, -4.639067099214935, -4.767278021251935, -4.887707485048403, -5.000158917876829, -5.104448769265693, -5.200406810602379, -5.287876412991292, -5.366714802913603, -5.436793295271401, -5.497997503435794, -5.5502275259561396, -5.593398109625603, -5.627438788636956, -5.652293999601408, -5.667923172242727, -5.674300795618668, -5.671416459761586, -5.659274872670248, -5.637895852625123, -5.607314295839721, -5.5675801195007555, -5.518758180290066, -5.460928168521395, -5.394184478064702, -5.318636052270431, -5.234406206145142, -5.141632425068808, -5.040466140382351, -4.931072482211625, -4.8136300099313925, -4.6883304207092396, -4.555378236605072, -4.414990470737067, -4.267396273058869, -4.112836556326281, -3.9515636028639456, -3.783840652773888, -3.6099414742580653, -3.4301499167562706, -3.244759447628806, -3.0540726731401384, -2.858400844525481, -2.6580633499464685, -2.4533871931652316, -2.2447064597877993, -2.032361771948044, -1.816699732322311, -1.5980723583821885, -1.3768365078089273, -1.153353296007356, -0.9279875066700352, -0.7011069963538508, -0.473082094040814, -0.24428499666327674, -0.015089161580106314, 0.21413130300447314, 0.44300224868436544, 0.6711500975607492, 0.8982024520199818, 1.1237887025849638, 1.3475406328477977, 1.569093020496342, 1.7880842334535716, 2.004156820156748, 2.2169580930129094, 2.42614070407823, 2.631363212021753, 2.832290639447902, 3.0285950196681415, 3.2199559320293685], [1.553839783788327, 1.3463231111174334, 1.136608883149636, 0.9250394089552452, 0.7119600258569583, 0.4977185357480396, 0.282664637387664, 0.06714935560007529, -0.14847553169072736, -0.3638580676555847, -0.5786466910467838, -0.7924908100389692, -1.0050413744876945, -1.2159514456715592, -1.4248767625879317, -1.6314763038779283, -1.835412844463446, -2.036353505987649, -2.233970300160473, -2.42794066412222, -2.6179479869514504, -2.80368212645772, -2.9848399154156247, -3.161125656413892, -3.332251604511721, -3.4979384369146294, -3.6579157089030905, -3.8119222952698344, -3.9597068165452303, -4.101028049315038, -4.235655319960813, -4.36336888118024, -4.483960270672829, -4.597232651405512, -4.70300113290273, -4.801093073036574, -4.891348359824379, -4.9736196727738236, -5.047772723348924, -5.1136864741644255, -5.17125333655083, -5.220379346167542, -5.260984316377522, -5.29300196913308, -5.316380043159172, -5.331080379257621, -5.337078982593017, -5.334366061858633, -5.32294604525843, -5.302837573279049, -5.274073468263618, -5.236700680836998, -5.190780213269964, -5.136387019907355, -5.073609884822775, -5.002551276899499, -4.9233271825741785, -4.836066916516292, -4.740912910552417, -4.638020481179837, -4.527557576048947, -4.4097044998282655, -4.284653619899576, -4.152609052363457, -4.013786328867864, -3.868412044803482, -3.7167234894401258, -3.5589682586079294, -3.3954038505554656, -3.226297245644532, -3.051924470567601, -2.8725701477992835, -2.6885270310171805, -2.5000955272504815, -2.3075832065362696, -2.1113042998838836, -1.9115791863668345, -1.7087338701794406, -1.5030994485117892, -1.2950115711115768, -1.0848098924149645, -0.8728375171407454, -0.6594404402527037, -0.44496698220437647, -0.22976722038794417, -0.014192417715377381, 0.20140555073549304, 0.4166747720741846, 0.6312638700124094, 0.8448225784031052, 1.0570023129673976, 1.2674567402763053, 1.475842343058475, 1.6818189809111992, 1.8850504454994832, 2.0852050093369465, 2.2819559672528023, 2.4749821696610588, 2.663968546761575, 2.848606622817283], [1.6448187682206368, 1.4531245829320731, 1.2590585141053667, 1.0629373288775956, 0.8650811488792054, 0.6658129277108502, 0.4654579237977341, 0.2643431694818448, 0.06279693721872537, -0.13885179624999022, -0.3402738868736028, -0.5411405605424573, -0.7411239497342259, -0.9398976286803977, -1.1371371461794428, -1.3325205551869526, -1.525728938318351, -1.7164469284063877, -1.904363223263743, -2.089171093810501, -2.2705688847371177, -2.448260506885648, -2.621955920545529, -2.7913716088750897, -2.9562310406759886, -3.11626512176526, -3.2712126342081573, -3.4208206626949025, -3.564845007365342, -3.703050582407677, -3.8352117997806827, -3.9611129374330303, -4.080548491418711, -4.193323511333819, -4.299253918527156, -4.39816680656526, -4.489900723461422, -4.57430593520802, -4.651244670182014, -4.72059134402465, -4.782232764628355, -4.836068316896173, -4.882010126972215, -4.919983205675022, -4.9499255708997385, -4.971788348789294, -4.985535853509465, -4.991145645497588, -4.988608568089861, -4.977928762467437, -4.9591236608969265, -4.932223958276325, -4.897273562032828, -4.8543295204542884, -4.803461929571346, -4.744753818742154, -4.6783010151265225, -4.6042119872706495, -4.522607668057788, -4.433621257313778, -4.3373980043897395, -4.234094971076712, -4.123880775239283, -4.006935315586652, -3.8834494780303754, -3.753624824108071, -3.617673261981712, -3.4758167005474667, -3.3282866872217034, -3.175324029994397, -3.017178404366796, -2.8541079458150094, -2.686378828444643, -2.514264830524284, -2.3380468876069815, -2.1580126339691335, -1.9744559331153049, -1.7876763981152801, -1.5979789025563118, -1.4056730829088289, -1.2110728331178255, -1.0144957922449644, -0.816262825997633, -0.6166975029912702, -0.41612556659983113, -0.2148744032564771, -0.013272508072342148, 0.18835105135433405, 0.38966717206353696, 0.5903472529165432, 0.7900637309598251, 0.9884906160944467, 1.1853040231780776, 1.3801827006911624, 1.5728085551043898, 1.7628671700914014, 1.9500483197393796, 2.1340464749197787, 2.3145613019926277, 2.4912981530304434], [1.7037333414907416, 1.5281325782238229, 1.3500374985376764, 1.1697388006922371, 0.9875307798349362, 0.8037108476332024, 0.6185790468199812, 0.4324375614446563, 0.24559022362879812, 0.05834201763178015, -0.12900141796414832, -0.31613428913686104, -0.5027511455610432, -0.6885473791838859, -0.8732197214259734, -1.0564667381957893, -1.2379893219098603, -1.4174911797154102, -1.5946793171186444, -1.7692645162292369, -1.9409618078403876, -2.109490936573928, -2.274576818331194, -2.435949989303016, -2.5933470458058907, -2.7465110742264542, -2.895192070372423, -3.039147347545533, -3.178141932670407, -3.3119489498327432, -3.4403499906007946, -3.5631354705256673, -3.6801049712385767, -3.7910675675866075, -3.8958421392730385, -3.9942576664935645, -4.086153509085845, -4.171379668736706, -4.249797033819054, -4.3212776064588425, -4.385704711461443, -4.442973186756398, -4.492989555049736, -4.535672176403652, -4.570951381494432, -4.598769585331235, -4.619081381250028, -4.63185361502926, -4.637065439006308, -4.634708346106388, -4.6247861837283555, -4.607315147464711, -4.582323754666135, -4.549852797893615, -4.509955278334208, -4.462696319289086, -4.408153059875093, -4.3464145291133045, -4.277581500610132, -4.201766328068135, -4.11909276189511, -4.029695747210651, -3.9337212035800757, -3.8313257868350976, -3.722676633370081, -3.607951087331265, -3.487336411144221, -3.361029479852055, -3.2292364597632894, -3.0921724719339334, -2.950061241033034, -2.8031347301648744, -2.651632762243838, -2.4958026285400097, -2.335898685034444, -2.172181937242936, -2.004919614186017, -1.83438473220053, -1.660855649304783, -1.4846156108446684, -1.305952287162349, -1.1251573040422183, -0.942525766700494, -0.7583557780954902, -0.5729479523447605, -0.3866049240433709, -0.19963085428423177, -0.012330934186765674, 0.17498911325570177, 0.36202353219669003, 0.5484670330109527, 0.7340152906078821, 0.9183654411705025, 1.1012165765093038, 1.2822702352239892, 1.461230889871361, 1.637806429344283, 1.81170863567423, 1.9826536544792015, 2.15036245828916], [1.7301990039195645, 1.5708575653111794, 1.4089520718077813, 1.244746795983986, 1.0785097642672459, 0.9105123194478439, 0.741028677775712, 0.5703354813670085, 0.39871134665104524, 0.22643640959459166, 0.05379186844592265, -0.11894047525509155, -0.29147867665158866, -0.4635411077782896, -0.6348469172527906, -0.8051164886992765, -0.9740718971563909, -1.141437362724247, -1.3069397007101555, -1.4703087675382593, -1.631277901695289, -1.7895843589926637, -1.9449697414344622, -2.0971804189912957, -2.245967943591556, -2.391089454654382, -2.5323080755023253, -2.6693933000067274, -2.8021213688346727, -2.930275634683372, -3.0536469159058575, -3.1720338379507336, -3.2852431620586886, -3.3930901006792444, -3.495398619092904, -3.5920017227463528, -3.6827417298317253, -3.7674705286650085, -3.846049819443477, -3.9183513399875283, -3.9842570750984834, -4.04365944919059, -4.0964615018828265, -4.142577046263874, -4.181930809571952, -4.2144585560598635, -4.2401071918447215, -4.2588348515712005, -4.270610966746872, -4.275416315638061, -4.273243054644802, -4.264094731103664, -4.247986277497564, -4.224943987082, -4.195005470967515, -4.158219596728412, -4.114646408637954, -4.064357029660236, -4.0074335453587, -3.94396886991079, -3.8740665944474535, -3.7978408179650085, -3.715415961085446, -3.6269265629690364, -3.5325170617108737, -3.4323415585797097, -3.3265635664839266, -3.2153557430752486, -3.0988996089257985, -2.9773852512385215, -2.85101101357462, -2.7199831721044108, -2.584515598910076, -2.4448294128898747, -2.301152618833639, -2.1537197352586617, -2.0027714116134794, -1.8485540354743324, -1.691319330375495, -1.5313239449299183, -1.3688290339108202, -1.2040998319780578, -1.0374052207450175, -0.869017289892744, -0.6992108930476224, -0.5282631991475908, -0.3564532400291611, -0.18406145497365944, -0.011369232956187858, 0.1613415466555903, 0.3337889742031175, 0.5056915698880315, 0.67676874322163, 0.8467412510227392, 1.015331653216414, 1.1822647656895025, 1.347268109463883, 1.5100723554541897, 1.670411764084105, 1.8280246190436111], [1.7240430301838878, 1.5810207041226345, 1.4354177342366041, 1.2874717830713425, 1.1374243375373507, 0.9855203147395928, 0.8320076622080217, 0.67713695318165, 0.521160977606776, 0.3643343295169439, 0.20691299146816977, 0.049153916707720846, -0.10868539024151769, -0.2663472938965201, -0.42357444834333613, -0.5801102172936812, -0.7356990929832081, -0.8900871132277342, -1.0430222759566843, -1.194254950547096, -1.3435382852868, -1.4906286103016861, -1.6352858352893653, -1.7772738414100315, -1.916360866694824, -2.0523198843426593, -2.1849289732879904, -2.3139716804346553, -2.4392373739645747, -2.560521587144568, -2.677626352070125, -2.7903605228013624, -2.8985400873637515, -3.0019884681043107, -3.1005368099130157, -3.1940242558389897, -3.282298209651593, -3.365214584917799, -3.4426380401893577, -3.5144421999158313, -3.5805098607229064, -3.6407331827192757, -3.695013865519864, -3.7432633086980687, -3.785402756405042, -3.821363425920086, -3.8510866199222415, -3.874523822299829, -3.891636777341563, -3.9023975521799996, -3.9067885823853667, -3.9048027006353356, -3.8964431484140105, -3.881723570720953, -3.860667993798944, -3.8333107859167974, -3.799696601271262, -3.7598803070995626, -3.713926894121562, -3.661911370457722, -3.6039186391960225, -3.540043359807663, -3.47038979363779, -3.395071633723394, -3.314211819216244, -3.22794233471365, -3.136403994824719, -3.0397462143236935, -2.9381267642655042, -2.8317115144617153, -2.720674162737129, -2.605195951408999, -2.48546537145166, -2.361677854829411, -2.234035455499877, -2.1027465196085267, -1.9680253454126744, -1.8300918334900582, -1.6891711278029575, -1.5454932482037207, -1.3992927149815322, -1.2508081660633077, -1.1002819674934887, -0.9479598178285835, -0.7940903470921459, -0.6389247109448446, -0.48271618073202305, -0.32571973007787935, -0.1681916187011172, -0.010388974131303463, 0.14743062799122786, 0.3050095843469318, 0.46209068441379486, 0.6184175303028887, 0.7737349552675417, 0.9277894402029379, 1.0803295274563105, 1.231106231272331, 1.3798734442037048, 1.5263883388235744], [1.6853055965897483, 1.5585556660166562, 1.4292617605009275, 1.2976349218827976, 1.1638899999661736, 1.0282453018269493, 0.8909222354781265, 0.7521449484733989, 0.6121399620390857, 0.4711358013315854, 0.3293626224239006, 0.18705183663007308, 0.04443573278072943, -0.09825290193370773, -0.24078116193326515, -0.3829164034119108, -0.5244266240737536, -0.6650808418221388, -0.8046494717835033, -0.9429047010505833, -1.0796208605333288, -1.2145747933105229, -1.3475462188808756, -1.478318092719054, -1.606676960549727, -1.7324133067613978, -1.8553218963912586, -1.9752021101229325, -2.09185827175024, -2.2050999675724947, -2.314742357200025, -2.4206064752625585, -2.522519523528019, -2.6203151529549396, -2.7138337352180786, -2.802922623264056, -2.8874364004717026, -2.967237118010434, -3.0421945200092253, -3.1121862561686218, -3.1770980814687872, -3.2368240426475787, -3.2912666511442894, -3.3403370422267518, -3.3839551200420805, -3.422049688354281, -3.454558566755332, -3.4814286921600517, -3.502616205419086, -3.5180865229086304, -3.5278143929800576, -3.531783937177276, -3.529988676154575, -3.522431540252625, -3.5091248647153908, -3.490090369555751, -3.46535912410269, -3.434971496287948, -3.3989770867548694, -3.357434647897048, -3.310411987958884, -3.2579858603545953, -3.200241838386359, -3.1372741755660485, -3.069185651768588, -2.996087405468008, -2.9180987523300894, -2.835346990457634, -2.7479671926062967, -2.65610198571016, -2.5599013180768346, -2.4595222146321927, -2.355128520614169, -2.246890634133999, -2.134985228041461, -2.019594961548063, -1.9009081820789122, -1.7791186178399223, -1.6544250616021525, -1.5270310462194465, -1.3971445124089947, -1.26497746933711, -1.1307456485642007, -0.9946681519138334, -0.8569670938406162, -0.7178672388806842, -0.5775956347765465, -0.43638124187513316, -0.29445455940397913, -0.15204724923552337, -0.00939175775370149, 0.13327906356003716, 0.27573233820190524, 0.417735544761789, 0.5590568964597065, 0.6994657194830873, 0.8387328295074381, 0.9766309057857665, 1.1129348621961324, 1.2474222146417158], [1.614239518866062, 1.5036090666684947, 1.390524326906788, 1.2751698837768184, 1.157734026230497, 1.0384084406384044, 0.9173878979069494, 0.7948699355607554, 0.6710545353091906, 0.5461437966233342, 0.42034160685621114, 0.2938533084447137, 0.16688536373646023, 0.039645017988644504, -0.08766003891101803, -0.2148220114490984, -0.34163333766368265, -0.4678870279403684, -0.5933770028740479, -0.717898429644988, -0.8412480563601479, -0.9632245438140101, -1.0836287941274052, -1.2022642757278907, -1.3189373441412373, -1.4334575580704185, -1.5456379902461617, -1.655295532541671, -1.762251194853508, -1.8663303972607732, -1.9673632549856923, -2.065184855690485, -2.159635528657919, -2.2505611054161356, -2.3378131713823462, -2.421249308114685, -2.5007333257767677, -2.5761354854355023, -2.647332710829335, -2.7142087892612565, -2.776654561288655, -2.834568098900369, -2.887854871890168, -2.936427902155057, -2.9802079056665054, -3.019123421882964, -3.0531109303923696, -3.0821149545942466, -3.106088152252174, -3.124991392768851, -3.1387938210575803, -3.147472907905905, -3.1510144867492658, -3.1494127767945646, -3.1426703924559556, -3.1307983390874226, -3.113815995019138, -3.091751079926901, -3.0646396095862984, -3.0325258370854336, -2.9954621805921913, -2.953509137793921, -2.9067351871492204, -2.8552166761129807, -2.799037696517157, -2.738289947310661, -2.6730725848824335, -2.6034920612119916, -2.529661950111667, -2.4517027618441007, -2.369741746417627, -2.2839126858806376, -2.1943556759538767, -2.101216897357193, -2.0046483772039703, -1.9048077408526511, -1.8018579546204965, -1.6959670597794587, -1.5873078982683904, -1.4760578305693106, -1.3623984462081897, -1.246515267352836, -1.1285974459916632, -1.0088374551876358, -0.8874307749113282, -0.764575572965934, -0.6404723815250168, -0.5153237698109727, -0.3893340134485026, -0.2627087610327772, -0.13565469845656342, -0.00837921154418364, 0.11890995245697589, 0.24600502397489432, 0.37269855024781684, 0.4987837339419876, 0.6240547706996002, 0.748307185065916, 0.87133816424726, 0.9929468891551485], [1.511308602189739, 1.4165395091986204, 1.3194582491831017, 1.2202232844286578, 1.1189965926363574, 1.0159434025324252, 0.9112319241712727, 0.8050330743722105, 0.6975201977380134, 0.5888687837106907, 0.4792561801263151, 0.36886130373646253, 0.2578643481687708, 0.14644648980328512, 0.03478959204471277, -0.07692409152674706, -0.18851221464143553, -0.299792635977556, -0.41058371646397784, -0.5207046157632176, -0.6299755874506925, -0.7382182724084148, -0.8452559899542225, -0.950914026231378, -1.055019919387767, -1.157403741079257, -1.257898373837672, -1.3563397838506916, -1.4525672887084111, -1.54642381967951, -1.6377561780889591, -1.7264152853787635, -1.8122564264435863, -1.8951394858440622, -1.974929176512246, -2.051495260575881, -2.124712761941033, -2.194462170286129, -2.2606296361344, -2.3231071566863255, -2.3817927521087645, -2.4365906319930044, -2.487411351710038, -2.5341719584078453, -2.576796126412384, -2.6152142818112694, -2.649363716016795, -2.6791886881229297, -2.7046405158892144, -2.725677655203048, -2.742265767890668, -2.754377777766128, -2.7619939148267885, -2.7651017475231936, -2.763696203050646, -2.757779575629362, -2.747361522759702, -2.7324590494585728, -2.713096480502745, -2.6893054207243865, -2.6611247034236203, -2.6286003269823066, -2.591785379782528, -2.5507399535523065, -2.5055310452800184, -2.4562324478575928, -2.402924629631003, -2.345694603054645, -2.284635782664011, -2.2198478325984583, -2.1514365039229975, -2.079513462014578, -2.004196104294669, -1.9256073686056379, -1.8438755325436778, -1.759134004075845, -1.6715211037830056, -1.5811798390840477, -1.4882576708099746, -1.392906272508847, -1.2952812828744276, -1.1955420517027, -1.0938513797908582, -0.9903752532033616, -0.8852825723387907, -0.7787448762397364, -0.6709360625957288, -0.5620321038962226, -0.4522107601969729, -0.34165128896861674, -0.2305341525010869, -0.11904072334143567, -0.0073529882458860385, 0.10434674887067352, 0.2158761645028875, 0.32705321315509295, 0.4376964244877115, 0.5476251995248163, 0.6566601054394221, 0.764623168435298], [1.3771846142106523, 1.2979152437876955, 1.2165273325067796, 1.1331537269587835, 1.047930514912672, 0.9609968031842646, 0.8724944905771332, 0.7825680362662322, 0.6913642240023377, 0.5990319225221459, 0.505721842555138, 0.41158629082381903, 0.31677892143887476, 0.22145448509503396, 0.12576857647702244, 0.02987738028789355, -0.06606258368570472, -0.16189471605520556, -0.2574625934417307, -0.35261022380040696, -0.4471823010406224, -0.5410244585266453, -0.6339835210447697, -0.7259077548257835, -0.816647115214586, -0.9060534915827452, -0.9939809490842033, -1.0802859668595302, -1.1648276722999222, -1.2474680709885342, -1.3280722719438636, -1.406508707797502, -1.4826493495468562, -1.5563699155323434, -1.6275500742979134, -1.6960736410038089, -1.7618287670709374, -1.8247081227473272, -1.8846090722986677, -1.9414338415369556, -1.9950896774138316, -2.0454889994180725, -2.0925495425301497, -2.1361944915004845, -2.176352606232254, -2.21295833806406, -2.245951936762678, -2.275279548051237, -2.3008933015136392, -2.3227513887317333, -2.340818131527711, -2.3550640402003244, -2.365465861659879, -2.3720066173834184, -2.374675631128171, -2.3734685463579934, -2.368387333354395, -2.359440286000515, -2.3466420082433115, -2.33001339025606, -2.309581574340069, -2.2853799106212613, -2.2574479026139582, -2.225831142740694, -2.1905812379133276, -2.151755725296921, -2.109417978393866, -2.0636371036015784, -2.0144878274125815, -1.9620503744411129, -1.9064103364753415, -1.8476585327689357, -1.7858908618000395, -1.7212081447395784, -1.6537159608844703, -1.5835244753242916, -1.510748259122713, -1.4355061023072415, -1.3579208199724855, -1.278119051813436, -1.1962310554160136, -1.1123904936422373, -1.026734216457096, -0.9394020375532266, -0.8505365061379857, -0.7602826742554623, -0.6687878600231913, -0.576201407170025, -0.4826744412676849, -0.3883596230538666, -0.2934108992495572, -0.19798325127727523, -0.10223244229040862, -0.00631476292657851, 0.08961322380002645, 0.18539493805087393, 0.28087403874278394, 0.3758946787379225, 0.47030175922753514, 0.5639411828942009], [1.212742900831722, 1.1485104590523791, 1.082403344527692, 1.0145294615478577, 0.9449995982363482, 0.8739272457143903, 0.8014284128534479, 0.7276214369180707, 0.6526267904081973, 0.5765668844161675, 0.4995658688194613, 0.4217494296352742, 0.34324458386769763, 0.26417947218239046, 0.1846831497471273, 0.10488537557964239, 0.02491640074660495, -0.055093244240564054, -0.13501296248599992, -0.21471230387805473, -0.2940611780183753, -0.37293006656383376, -0.45119023463469876, -0.5287139409440131, -0.6053746463051315, -0.6810472201771489, -0.7556081449110206, -0.8289357173630183, -0.9009102475464528, -0.9714142539973709, -1.0403326555353747, -1.1075529591065245, -1.1729654434017576, -1.2364633379510792, -1.2979429974011834, -1.3573040706920887, -1.4144496648566025, -1.469286503175255, -1.5217250774285698, -1.57167979399815, -1.6190691135780972, -1.663815684268703, -1.7058464678352125, -1.745092858925551, -1.7814907970523657, -1.814980871156697, -1.8455084165825433, -1.8730236043040254, -1.89748152225952, -1.9188422486600363, -1.9370709171521339, -1.9521377737290078, -1.964018225296919, -1.972692879817613, -1.9781475779612592, -1.980373416218216, -1.9793667614319177, -1.9751292567291436, -1.9676678188380023, -1.9569946267980007, -1.9431271020806333, -1.926087880152933, -1.9059047735304055, -1.8826107263796468, -1.8562437607447562, -1.8268469144853061, -1.7944681710271733, -1.7591603810409042, -1.7209811761754432, -1.679992874988045, -1.6362623812239119, -1.5898610746115902, -1.5408646943523836, -1.489353215493936, -1.4354107183898406, -1.3791252514582304, -1.3205886874635056, -1.2598965735556864, -1.1971479753121912, -1.1324453150366298, -1.0658942045785227, -0.9976032729468254, -0.9276839889986821, -0.856250479492763, -0.7834193428042235, -0.7093094586053272, -0.6340417938223863, -0.5577392051857508, -0.48052623869514743, -0.402528926327669, -0.32387458032026917, -0.2446915853625251, -0.16510918903887983, -0.08525729086241807, -0.005266230244497017, 0.07473342625362012, 0.154611098039922, 0.23423640363370257, 0.3134793734826058, 0.39221066210730626], [1.019056673357238, 0.9693002293858912, 0.9179616311487617, 0.8651246768125422, 0.8108756102572614, 0.7553029803034645, 0.698497496177124, 0.6405518794481964, 0.5815607126845119, 0.5216202850680061, 0.4608284352253218, 0.39928439152929585, 0.33708861013202096, 0.2743426109938456, 0.21114881217595016, 0.1476103626669989, 0.0838309740167098, 0.019914751051184787, -0.04403397805369025, -0.10791083206341323, -0.17161154706264448, -0.23503214664148153, -0.29806911161245164, -0.36061954898120163, -0.4225813598950605, -0.48385340629537943, -0.5443356760015661, -0.603929445957422, -0.66253744337327, -0.7200640045008582, -0.7764152307819034, -0.8314991421153612, -0.8852258269932687, -0.9375075892601017, -0.9882590912560847, -1.0373974931108245, -1.0848425879598707, -1.1305169328635323, -1.174345975214235, -1.2162581744260779, -1.2561851187079993, -1.2940616367298974, -1.3298259039994802, -1.3634195437761796, -1.3947877223574285, -1.4238792385817634, -1.4506466074026552, -1.4750461373966626, -1.4970380020793876, -1.5165863049128268, -1.5336591378980144, -1.548228633657313, -1.560271010921342, -1.5697666133462962, -1.5766999415982994, -1.5810596786524107, -1.582838708265006, -1.5820341265893663, -1.578647246915525, -1.5726835975266296, -1.5641529126753242, -1.5530691166948736, -1.53945030127097, -1.5233186959113185, -1.5047006316612035, -1.483626498124259, -1.4601306938586018, -1.4342515702292897, -1.4060313688087507, -1.375516152427371, -1.3427557299867736, -1.3078035751585224, -1.2707167391009526, -1.2315557573365905, -1.1903845509421846, -1.147270322212588, -1.1022834449688759, -1.055497349689627, -1.0069884036529837, -0.9568357862850747, -0.9051213599182284, -0.8519295361700192, -0.7973471381611912, -0.7414632587973511, -0.6843691153458078, -0.6261579005448636, -0.5669246304886242, -0.5067659895356158, -0.44578017249434243, -0.38406672434339484, -0.3217263777477317, -0.2588608886363275, -0.1955728701095918, -0.13196562494766795, -0.06814297699296823, -0.0042091016822194405, 0.05973164399539854, 0.12357489183644876, 0.18721643277974387, 0.25055238700308546], [0.7973900042937418, 0.7614541512389765, 0.7242754036742776, 0.6859144471460534, 0.6464338968783303, 0.6058981955681491, 0.5643735081980372, 0.5219276140372706, 0.478629796008188, 0.43455072759813174, 0.38976235750163557, 0.34433779218113436, 0.29835117653788146, 0.2518775728878673, 0.2049928384402735, 0.15777350147845404, 0.11029663644553267, 0.06263973813854129, 0.014880595216414605, -0.03290283677166439, -0.0806325626303348, -0.12823067482684003, -0.17561948065672084, -0.2227216290588494, -0.2694602368728134, -0.31575901433256703, -0.3615423895914951, -0.40673563207565255, -0.4512649744638155, -0.4950577330952628, -0.5380424266087225, -0.5801488926188485, -0.6213084022397974, -0.6614537722689384, -0.7005194748475958, -0.738441744419847, -0.7751586818147738, -0.8106103552822708, -0.844738898317503, -0.877488604114355, -0.9088060164936644, -0.9386400171578253, -0.96694190912938, -0.9936654962373757, -1.0187671585216962, -1.042205923432392, -1.063943532707718, -1.0839445048217289, -1.1021761928994973, -1.1186088380054617, -1.133215617717882, -1.1459726899101013, -1.1568592316672226, -1.1658574732746014, -1.1729527272227225, -1.1781334121810938, -1.1813910719020462, -1.1827203890235611, -1.1821191937486129, -1.179588467386852, -1.175132340752847, -1.1687580874235024, -1.1604761118656608, -1.150299932453259, -1.1382461594017679, -1.1243344676559308, -1.1085875647750492, -1.0910311538682427, -1.0716938916401793, -1.0506073416157564, -1.027805922620081, -1.0033268525978483, -0.9772100878638139, -0.9494982578835227, -0.9202365956907537, -0.8894728640552425, -0.8572572775212199, -0.8236424204439845, -0.788683161158354, -0.7524365624190152, -0.7149617882590209, -0.6763200074184641, -0.6365742935008969, -0.5957895220205449, -0.5540322645083169, -0.5113706798494517, -0.46787440303020844, -0.4236144314751522, -0.37866300916058027, -0.3330935086932598, -0.2869803115469267, -0.24039868665205333, -0.19342466753705434, -0.14613492822147034, -0.09860665806368019, -0.05091743576746932, -0.0031451027530717823, 0.04463236390060921, 0.0923369787352204, 0.13989087520583343], [0.5491895775156279, 0.5263287098734089, 0.5026087346107815, 0.47806836899913785, 0.45274766940384703, 0.42668796590166025, 0.3999317948191061, 0.3725228293019551, 0.34450580802910125, 0.315926462187206, 0.28683144082531253, 0.25726823471126004, 0.22728509881419523, 0.1969309735397058, 0.166255404846134, 0.13530846337247482, 0.104140662709856, 0.07280287694999643, 0.04134625764523747, 0.009822150315692113, -0.02171798936022995, -0.05322267953509119, -0.08464049622441028, -0.1159201572442079, -0.1470106059170826, -0.1778610944102148, -0.20842126656924798, -0.23864124011284016, -0.26847168805374455, -0.2978639192134924, -0.3267699576992671, -0.35514262121325313, -0.3829355980666165, -0.4101035227724257, -0.43660205009412456, -0.46238792742868373, -0.487419065406284, -0.5116546065912915, -0.5350549921724062, -0.5575820265330935, -0.5791989395969326, -0.5998704468461025, -0.6195628069150474, -0.6382438766653022, -0.655883163651596, -0.672451875893588, -0.6879229688719857, -0.7022711896723575, -0.7154731182045624, -0.7275072054305303, -0.7383538085379917, -0.7479952230027385, -0.7564157114870903, -0.7636015295273897, -0.7695409479686031, -0.774224272109399, -0.7776438575264693, -0.7797941225522442, -0.7806715573856532, -0.7802747298210468, -0.7786042875859349, -0.775662957283725, -0.7714555399431836, -0.7659889031818877, -0.7592719699964587, -0.7513157041978709, -0.7421330925156135, -0.7317391233999144, -0.7201507625566266, -0.7073869252547094, -0.6934684454515097, -0.6784180417862338, -0.6622602804971214, -0.6450215353228486, -0.626729944453615, -0.6074153646021747, -0.587109322269789, -0.5658449622866377, -0.5436569937106981, -0.5205816331733728, -0.4966565457643912, -0.47192078355240463, -0.4464147218416894, -0.4201799932689898, -0.39325941984802437, -0.36569694307264555, -0.3375375521927175, -0.3088272107797403, -0.2796127817021645, -0.24994195063279623, -0.21986314821316455, -0.18942547100191742, -0.15867860133624934, -0.12767272623719617, -0.09645845549114274, -0.06508673904127171, -0.03360878382378374, -0.002075970184640674, 0.029460231986750074, 0.060948347269993874], [0.27607524663713257, 0.26545842640560746, 0.2544083078326693, 0.2429429276335724, 0.23108100034035184, 0.21884188775474644, 0.20624556734462374, 0.1933125996354672, 0.18006409465017192, 0.1665216774518905, 0.15270745284622578, 0.13864396930033518, 0.12435418213787308, 0.10986141606983146, 0.09518932712244865, 0.08036186402431422, 0.0654032291157165, 0.0503378388440181, 0.03519028390956169, 0.019985289127147254, 0.004747673068592917, -0.010497692447734686, -0.025725922954306313, -0.04091216195245906, -0.05603162148477292, -0.07105962259557508, -0.08597163561351717, -0.10074332019048882, -0.11535056503149832, -0.1297695272506818, -0.143976671289197, -0.15794880733148364, -0.17166312915716375, -0.1850972513668312, -0.1982292459209436, -0.21103767793217187, -0.22350164065281541, -0.23560078960012998, -0.24731537576391727, -0.25862627784211734, -0.26951503345183747, -0.27996386926484096, -0.2899557300183173, -0.2994743063535834, -0.3085040614372634, -0.31703025632151594, -0.3250389740018895, -0.3325171421335553, -0.33945255436883004, -0.3458338902811606, -0.3516507338430588, -0.356893590427807, -0.3615539023072021, -0.3656240626200291, -0.369097427788473, -0.3719683283621895, -0.37423207827235194, -0.37588498248055163, -0.37692434301007843, -0.37734846334973215, -0.3771566512229774, -0.37634921971792196, -0.37492748677627386, -0.37289377304211246, -0.37025139807398344, -0.3670046749265019, -0.36315890311030663, -0.3587203599418567, -0.35369629029719296, -0.3480948947863829, -0.34192531636795875, -0.3351976254251885, -0.3279228033285517, -0.32011272451123585, -0.3117801370869242, -0.30293864204150234, -0.29360267103265203, -0.28378746283357126, -0.27350903845926844, -0.26278417501602735, -0.2516303783167353, -0.2400658543067622, -0.22810947934706238, -0.21578076940293034, -0.20309984818881688, -0.19008741432109222, -0.17676470753242501, -0.1631534740029359, -0.1492759308646754, -0.1351547299373843, -0.12081292075475059, -0.10627391294145472, -0.09156143800248717, -0.07669951058706115, -0.06171238929033773, -0.04662453705699754, -0.03146058125124629, -0.016245273458443066, -0.0010034490839618826, 0.014240013184743994], [-0.020170536789528182, -0.019454157081782775, -0.01870602304582958, -0.017927355834232106, -0.01711942643776343, -0.016283553610821677, -0.015421101718873231, -0.01453347851144926, -0.013622132824313127, -0.012688552214598303, -0.01173426053270532, -0.010760815434982085, -0.009769805841215451, -0.008762849341094281, -0.007741589553875272, -0.006707693445560103, -0.005662848607969728, -0.004608760504143383, -0.0035471496845786987, -0.0024797489788319638, -0.0014083006670837506, -0.00033455363627954426, 0.0007397394745174424, 0.0018128251348974445, 0.002882951785331933, 0.003948372696174651, 0.005007348818793389, 0.006058151624152686, 0.007099065924233372, 0.008128392671671314, 0.009144451733051007, 0.01014558463132964, 0.011130157252909001, 0.012096562514940068, 0.013043222988511793, 0.013968593473424384, 0.014871163520369102, 0.015749459896384543, 0.016602048989553975, 0.017427539149047266, 0.01822458295665408, 0.018991879426138336, 0.01972817612678135, 0.02043227122768254, 0.0211030154594698, 0.0217393139902069, 0.02234012821244713, 0.022904477438519866, 0.023431440501270107, 0.02392015725764507, 0.024369829992677783, 0.024779724721566643, 0.025149172387735064, 0.025477569954906576, 0.025764381391419677, 0.026009138545175503, 0.026211441907782462, 0.026370961266662385, 0.026487436244043205, 0.026560676721964827, 0.026590563152601776, 0.026577046753397088, 0.026520149586688135, 0.026419964523694994, 0.026276655092930534, 0.026090455213277686, 0.02586166881217289, 0.025590669329516702, 0.025277899108118174, 0.02492386867167884, 0.024529155891478638, 0.02409440504314153, 0.02362032575500317, 0.023107691849812984, 0.022557340081648558, 0.02197016877011393, 0.021347136334042283, 0.02068925972710467, 0.0199976127778716, 0.019273324437042216, 0.01851757693469569, 0.017731603850584587, 0.01691668810059621, 0.0160741598427121, 0.015205394305814579, 0.014311809544969023, 0.01339486412678248, 0.012456054748620993, 0.011496913795618902, 0.010519006839421863, 0.009523930082742105, 0.0085133077539572, 0.007488789455928568, 0.006452047473403333, 0.005404774043424432, 0.0043486785931383665, 0.003285484949559603, 0.0022169285258311078, 0.0011447534885755672, 7.070991094160206e-05], [-0.33761435625409186, -0.3265495889991916, -0.3149518064724868, -0.30283993932161923, -0.29023375731625967, -0.27715383707862395, -0.26362152849698584, -0.24965891987701472, -0.23528880188780832, -0.2205346303615121, -0.2054204880071886, -0.18997104510146912, -0.17421151922014477, -0.15816763407640977, -0.14186557753296203, -0.12533195885648585, -0.10859376528429188, -0.09167831797401771, -0.07461322740826404, -0.05742634832699256, -0.040145734261223254, -0.022799591742257874, -0.005416234261160113, 0.011975963946352586, 0.0293486142141548, 0.046673359783531154, 0.06392192208889735, 0.08106614691590153, 0.09807805035654305, 0.11492986448631193, 0.13159408268878092, 0.1480435045536801, 0.16425128027515612, 0.1801909544777507, 0.19583650939858188, 0.21116240735519387, 0.22614363242982183, 0.24075573130197814, 0.25497485316273494, 0.2687777886455591, 0.28214200771012266, 0.29504569641729983, 0.30746779253527023, 0.3193880199186583, 0.33078692160456535, 0.3416458915714684, 0.3519472051091772, 0.3616740477502387, 0.37081054271560276, 0.37934177682971715, 0.3872538248627735, 0.3945337722603688, 0.4011697362234674, 0.407150885104276, 0.4124674560863526, 0.41711077112010697, 0.4210732510876707, 0.42434842817402296, 0.4269309564241732, 0.4288166204691744, 0.430002342406719, 0.43048618682508966, 0.4302673639622629, 0.42934623099500957, 0.4277242914558881, 0.4254041927790808, 0.42238972197908264, 0.41868579946929196, 0.4142984710305935, 0.4092348979430478, 0.40350334529678555, 0.39711316850119927, 0.39007479801443656, 0.38239972231813946, 0.3741004691651999, 0.3651905851311592, 0.35568461350261193, 0.3455980705387174, 0.33494742014456236, 0.3237500469977146, 0.3120242281718326, 0.29978910330365105, 0.28706464335202586, 0.27387161800005755, 0.26023156175346873, 0.24616673879061146, 0.23170010662141216, 0.21685527861468046, 0.2016564854548264, 0.1861285355909752, 0.17029677474303462, 0.15418704453076337, 0.1378256402934177, 0.12123926816881436, 0.1044550015018384, 0.08750023665360107, 0.07040264828332088, 0.053190144175966125, 0.03589081968938057, 0.018532911895215776], [-0.6741844485249229, -0.653823643762633, -0.6323956259370522, -0.6099353712390299, -0.5864795407429182, -0.5620664205660124, -0.5367358593754838, -0.5105292033448179, -0.4834892286659218, -0.45566007172707934, -0.4270871570706847, -0.3978171232483838, -0.36789774669462894, -0.3373778637428977, -0.30630729091189224, -0.27473674359180134, -0.24271775326337952, -0.21030258338494345, -0.17754414408458796, -0.14449590579686689, -0.11121181198490859, -0.07774619109041936, -0.044153667855299616, -0.010489074159625744, 0.023192640478478133, 0.056836498594986296, 0.09038758451772022, 0.12379113400325803, 0.1569926236266479, 0.18993785977806077, 0.2225730671210906, 0.2548449763683216, 0.2867009112308869, 0.3180888744001029, 0.348957632420829, 0.3792567993180054, 0.4089369188398928, 0.4379495451837476, 0.46624732207218944, 0.4937840600511554, 0.5205148118833054, 0.5463959459138117, 0.5713852172887415, 0.5954418369098216, 0.6185265380130542, 0.6406016402624459, 0.6616311112542759, 0.6815806253315029, 0.7004176196123346, 0.71811134714144, 0.7346329270771084, 0.7499553918324426, 0.7640537310935653, 0.7769049326430799, 0.788488019922087, 0.7987840862694784, 0.8077763257826058, 0.8154500607489567, 0.8217927656040637, 0.8267940873765371, 0.8304458625868513, 0.8327421305723015, 0.8336791432163824, 0.8332553710667043, 0.831471505831465, 0.8283304592503976, 0.8238373583420424, 0.8179995370350972, 0.8108265241975052, 0.8023300280828253, 0.7925239172192631, 0.7814241977725704, 0.7690489874197457, 0.755418485776199, 0.7405549414246355, 0.7244826155994875, 0.7072277425861646, 0.6888184868997644, 0.6692848973131338, 0.6486588578093291, 0.6269740355385252, 0.6042658258643252, 0.5805712945891641, 0.5559291174531253, 0.5303795170048997, 0.5039641969479569, 0.4767262740690681, 0.4487102078603229, 0.4199617279494561, 0.39052775945703644, 0.3604563464022421, 0.3297965732823185, 0.298598484953712, 0.26691300494562054, 0.2347918523393293, 0.202287457349013, 0.16945287574173662, 0.13634170223642972, 0.10300798302314274, 0.06950612754535168], [-1.0276842247907725, -0.9991404021582047, -0.9689657182078832, -0.9372094260024713, -0.9039233602074832, -0.869161852483423, -0.8329816428021424, -0.7954417868322063, -0.7566035595444198, -0.7165303551948825, -0.6752875838487986, -0.6329425646139515, -0.589564415758125, -0.5452239418898124, -0.4999935183863764, -0.45394697325829014, -0.40715946664230973, -0.35970736812025894, -0.3116681320636747, -0.26312017120779263, -0.21414272866123252, -0.16481574856029368, -0.11521974557898584, -0.06543567350778723, -0.01554479311566137, 0.034371460489007966, 0.08423161078204355, 0.13395427281471317, 0.18345828605547077, 0.23266284686541727, 0.28148764039119545, 0.32985297166007044, 0.3776798956631966, 0.4248903462147444, 0.4714072633765598, 0.5171547192403576, 0.5620580418621399, 0.60604393714656, 0.6490406084822604, 0.6909778739329249, 0.7317872807927599, 0.771402217319408, 0.8097580214619224, 0.8467920864063343, 0.8824439627665255, 0.9166554572536092, 0.9493707276627648, 0.9805363740224804, 1.0101015257574315, 1.0380179247227015, 1.0642400039738402, 1.0887249621441628, 1.1114328333079002, 1.1323265522151533, 1.1513720147921849, 1.1685381338082823, 1.1837968896183402, 1.197123375898328, 1.2084958402989985, 1.2178957199514708, 1.2253076717667417, 1.2307195974796643, 1.2341226633965146, 1.235511314813916, 1.2348832850855844, 1.2322395993220925, 1.2275845727176193, 1.220925803506414, 1.212274160560465, 1.2016437656486305, 1.1890519703861748, 1.174519327912348, 1.158069559342223, 1.1397295150475701, 1.1195291308299447, 1.097501379057547, 1.0736822148456002, 1.0481105173680927, 1.0208280263966865, 0.9918792741703761, 0.9613115127070966, 0.9291746366759397, 0.8955211019558567, 0.8604058400137995, 0.8238861682420384, 0.7860216964010247, 0.7468742293204991, 0.7065076660176683, 0.664987895397112, 0.6223826887026789, 0.5787615888968718, 0.534195797148378, 0.4887580566129195, 0.44252253369717565, 0.3955646969996236, 0.34796119412581916, 0.29978972657922753, 0.25112892293184164, 0.20205821048155848, 0.15265768560581527], [-1.3958066064633858, -1.3602461911910453, -1.3224654944737328, -1.2825261843980424, -1.240493452478315, -1.1964359072468644, -1.1504254622667074, -1.102537218749617, -1.0528493429710784, -1.001442938682271, -0.9484019147272957, -0.8938128480817547, -0.837764842536239, -0.7803493832553801, -0.7216601874498725, -0.6617930514052057, -0.6008456941167939, -0.5389175977867477, -0.4761098454426058, -0.4125249559431081, -0.3482667166403193, -0.28344001397121943, -0.21815066225530888, -0.15250523097766155, -0.0866108708393476, -0.02057513885915352, 0.04549417718790405, 0.11148923470873484, 0.1773023123197941, 0.2428259856768724, 0.3079533028200183, 0.37257795874742694, 0.43659446893330145, 0.49989834150649326, 0.5623862478088695, 0.6239561910549991, 0.6845076728178707, 0.7439418570689122, 0.8021617315045075, 0.8590722658957373, 0.9145805672028309, 0.9685960312011774, 1.0210304903713778, 1.0717983578119297, 1.1208167669397064, 1.168005706750122, 1.213288152416236, 1.2565901910136437, 1.2978411421659213, 1.3369736734136808, 1.373923910118937, 1.408631539725427, 1.441039910204632, 1.4710961225268748, 1.4987511170065198, 1.5239597533803557, 1.546680884488438, 1.5668774234371319, 1.584516404134733, 1.5995690351008423, 1.6120107464616766, 1.621821230054598, 1.628984472576405, 1.633488781721279, 1.6353268052657168, 1.6344955430693042, 1.6309963519717388, 1.6248349435781089, 1.616021374936042, 1.6045700321199474, 1.5904996067491346, 1.5738330654781532, 1.554597612509135, 1.5328246451873477, 1.508549702752422, 1.4818124083289181, 1.4526564042509094, 1.4211292808261526, 1.387282498656122, 1.3511713046387044, 1.3128546417906493, 1.2723950530369867, 1.229858579124428, 1.185314650825414, 1.138835975608731, 1.0904984189616989, 1.0403808805576378, 0.9885651654707361, 0.935135850648543, 0.8801801468600243, 0.8237877563445277, 0.7660507263940204, 0.7070632991075492, 0.6469217575632351, 0.5857242686588311, 0.5235707228773743, 0.46056257123952005, 0.3968026597086478, 0.3323950613190494, 0.2674449063012263], [-1.7761490820798556, -1.734784292441776, -1.6905878761463462, -1.643631973430883, -1.5939932287441643, -1.5417526656424356, -1.4869955545375393, -1.4298112735130584, -1.3702931624356434, -1.3085383705996816, -1.2446476981539547, -1.1787254315691431, -1.110879173414736, -1.0412196667231832, -0.9698606142279864, -0.8969184927707721, -0.82251236318029, -0.7467636759336633, -0.6697960729170891, -0.5917351856095969, -0.5127084300192504, -0.4328447987065349, -0.3522746502343965, -0.2711294963885873, -0.18954178751567063, -0.10764469632902784, -0.025571900535782177, 0.05654263536057336, 0.1385648787256546, 0.2203609475708932, 0.30179732908434165, 0.3827410975588821, 0.4630601313621243, 0.5426233285938498, 0.6213008210789743, 0.698964186346748, 0.7754866572501813, 0.8507433288835529, 0.9246113624602383, 0.9969701858180895, 1.067701690225078, 1.1366904231639898, 1.203823776781448, 1.2689921716937, 1.3320892358491618, 1.3930119781557173, 1.451660956589417, 1.5079404405101564, 1.5617585669193916, 1.6130274904048423, 1.6616635265274269, 1.7075872884164045, 1.750723816349729, 1.7910027001081381, 1.8283581939032516, 1.8627293236920772, 1.894059986702773, 1.9222990430092053, 1.947400399004831, 1.9693230826396462, 1.9880313102974112, 2.0034945452039694, 2.01568754727134, 2.024590414296213, 2.030188614445607, 2.032473009976667, 2.031439872151871, 2.0270908873253206, 2.0194331541901613, 2.008479172191642, 1.9942468211247115, 1.97675933194947, 1.9560452488720947, 1.9321383827531529, 1.905077755919334, 1.8749075384686957, 1.8416769761733867, 1.8054403100975238, 1.7662566880614312, 1.7241900680967643, 1.6793091140500849, 1.631687083505315, 1.5814017082079808, 1.528535067186461, 1.473173452777302, 1.4154072297733133, 1.3553306879243303, 1.2930418880314103, 1.2286425018856817, 1.1622376463130921, 1.0939357115959587, 1.0238481845513672, 0.9520894665552051, 0.8787766868088775, 0.8040295111534608, 0.7279699467434337, 0.6507221428987275, 0.5724121884602029, 0.4931679059793419, 0.4131186430780325], [-2.166229387037448, -2.1203103229379114, -2.0709303517628137, -2.0181700746816116, -1.9621156104167758, -1.902858454675274, -1.8404953308033867, -1.7751280319086273, -1.706863254706473, -1.6358124253631212, -1.5620915176185184, -1.485820863486552, -1.4071249568413933, -1.3261322502105708, -1.2429749451064818, -1.1577887762385743, -1.0707127899584021, -0.9818891172992288, -0.8914627419805843, -0.7995812637565107, -0.7063946574937328, -0.6120550283730228, -0.5167163636133258, -0.4205342811239028, -0.3236657754947574, -0.2262689617399527, -0.12850281721210433, -0.03052692210930097, 0.06749880100196926, 0.1654143482227326, 0.26305989549020214, 0.36027605945290375, 0.45690415762644854, 0.5527864674053049, 0.6477664835077972, 0.7416891734341045, 0.8344012305202853, 0.9257513241753017, 1.015590346892548, 1.1037716576327292, 1.1901513211808088, 1.2745883430863412, 1.356944899803695, 1.4370865636565107, 1.514882522259232, 1.5902057920374868, 1.6629334254988697, 1.732946711915751, 1.8001313710925726, 1.8643777399013541, 1.9255809512808955, 1.983641105407566, 2.038463432758218, 2.0899584487991136, 2.138042100048347, 2.182635901273339, 2.2236670635995033, 2.261068613320924, 2.2947795012191636, 2.3247447022117185, 2.350915305167507, 2.3732485927427716, 2.3917081111070724, 2.406263729445582, 2.41689168914054, 2.4235746425515985, 2.4263016813317595, 2.425068354232681, 2.4198766743702915, 2.4107351159388517, 2.3976586003788287, 2.3806684720211626, 2.3597924632476697, 2.3350646492244675, 2.3065253922822917, 2.2742212760344986, 2.238205029340296, 2.198535440237299, 2.1552772599839063, 2.1085010973681335, 2.058283303455392, 2.0047058469633727, 1.9478561804674144, 1.8878270976547875, 1.8247165818608533, 1.7586276461343586, 1.6896681650929, 1.617950698843023, 1.5435923092523725, 1.4667143688737645, 1.3874423628330956, 1.3059056840044336, 1.2222374218066347, 1.136574144966223, 1.0490556786011167, 0.9598248759890762, 0.8690273853933572, 0.7768114123262624, 0.6833274776385494, 0.5887281718295876], [-2.563501703828804, -2.514308188158642, -2.4610106567204104, -2.403696105177752, -2.342458086033248, -2.277396555926007, -2.208617712476002, -2.13623382094147, -2.0603630309723244, -1.9811291837586942, -1.898661609889352, -1.8130949182499956, -1.72456877630596, -1.6332276821279832, -1.5392207285331425, -1.4427013597259641, -1.343827120836901, -1.2427594007670333, -1.1396631687586996, -1.0347067051220789, -0.9280613265572297, -0.8199011065199393, -0.7104025910878109, -0.5997445107903916, -0.4881074888736885, -0.37567374647526997, -0.26262680519119286, -0.1491511875202267, -0.03543211567435467, 0.07834479075285827, 0.19199381776651592, 0.30532946010474227, 0.41816672403230815, 0.5303214292993257, 0.6416105097721205, 0.7518523122455596, 0.860866892949109, 0.9684763112626582, 1.0745049201626529, 1.178779652924479, 1.2811303056131194, 1.3813898149009827, 1.4793945307594258, 1.5749844835788638, 1.66800364528148, 1.7583001840003, 1.8457267119089424, 1.9301405257975222, 2.011403840002028, 2.0893840113069504, 2.16395375545408, 2.2349913549040803, 2.302380857511689, 2.3660122657902782, 2.4257817164568385, 2.481591649964318, 2.5333509697446015, 2.58097519090219, 2.624386578115897, 2.6635142725234413, 2.698294407381844, 2.7286702123148467, 2.7545921059771725, 2.776017776984388, 2.7929122529762767, 2.8052479577009723, 2.8130047560266966, 2.816169986807617, 2.814738483550184, 2.8087125828462165, 2.7981021205589633, 2.7829244157683766, 2.763204242501791, 2.7389737892961645, 2.710272606657871, 2.6771475425058178, 2.6396526657032586, 2.5978491778031065, 2.5518053131508207, 2.501596227507913, 2.4473038753778713, 2.389016876234746, 2.3268303698727255, 2.2608458611128492, 2.191171054120291, 2.1179196766026887, 2.041211294176455, 1.9611711152040718, 1.8779297864209452, 1.7916231796853808, 1.70239217019979, 1.6103824065651096, 1.5157440730437748, 1.4186316444192926, 1.3192036338525477, 1.217622334146423, 1.1140535528410167, 1.0086663415719048, 0.9016327201331809, 0.7931273956956497], [-2.965373277048362, -2.9142065030573545, -2.8582829735117623, -2.7976939703984782, -2.7325383909908396, -2.662922586422143, -2.5889601880924697, -2.5107719221921987, -2.4284854126449362, -2.3422349727915326, -2.252161386155199, -2.158411676645565, -2.0611388685767897, -1.960501736891422, -1.8566645479977062, -1.7497967916433734, -1.6400729042635582, -1.5276719842544204, -1.4127774996371958, -1.2955769885898811, -1.1762617533353423, -1.0550265478855048, -0.9320692601513061, -0.8075905889373054, -0.6817937163481718, -0.554883976141757, -0.4270685185701222, -0.2985559722555422, -0.16955610365344143, -0.04027947465806747, 0.08906290109019288, 0.21825990263486794, 0.3471006463086228, 0.4753748299511651, 0.602873076177981, 0.7293872741395813, 0.8547109192134315, 0.9786394500741133, 1.1009705825914757, 1.2215046400118355, 1.3400448788832233, 1.4563978101927315, 1.5703735151917355, 1.6817859553935044, 1.7904532762372098, 1.8961981039226505, 1.9988478349311896, 2.0982349177603328, 2.194197126412098, 2.28657782518872, 2.3752262243635327, 2.459997626309675, 2.54075366168487, 2.61736251528679, 2.6896991412103066, 2.7576454669554797, 2.8210905861530904, 2.879930939593166, 2.9340704842609924, 2.983420850104703, 3.0279014842785736, 3.0674397826265656, 3.101971208191505, 3.13143939655646, 3.1557962478463724, 3.175002005239774, 3.189025319862429, 3.1978433019569863, 3.201441558245117, 3.1998142154211484, 3.1929639297388515, 3.1809018826757374, 3.1636477626819213, 3.141229733043374, 3.113684385911988, 3.0810566825775103, 3.0433998800788333, 3.000775444274421, 2.953252949513778, 2.900909965073716, 2.8438319285447813, 2.7821120063745215, 2.7158509417952006, 2.645156890384218, 2.570145243525598, 2.4909384400607464, 2.4076657664358883, 2.3204631456723983, 2.2294729155044966, 2.134843596046426, 2.0367296473683596, 1.9352912173767223, 1.8306938804104655, 1.723108366979965, 1.6127102850896846, 1.4996798335994894, 1.3842015080924441, 1.2664637997292503, 1.146658887580835, 1.0249823249412895], [-3.369221334734017, -3.317395373931921, -3.2601545467313224, -3.1975922852971923, -3.1298107077821937, -3.0569204516428714, -2.979040493050064, -2.896297952688337, -2.8088278882614057, -2.7167730740422633, -2.6202837678278126, -2.5195174656784056, -2.4146386448426393, -2.3058184952869936, -2.193234640268537, -2.077070846406815, -1.9575167237281237, -1.834767416171831, -1.7090232830638543, -1.5804895720772696, -1.4493760842138403, -1.315896831353308, -1.18026968692942, -1.0427160303028726, -0.9034603854116678, -0.7627300542886717, -0.6207547460446063, -0.4777662019220301, -0.33399781703237164, -0.18968425939338296, -0.045061086888893875, 0.0996356372239422, 0.24416972963229888, 0.38830527248129076, 0.5318069984542957, 0.6744406747914198, 0.815973485619292, 0.956174411968135, 1.094814608855799, 1.2316677788232906, 1.3665105413120462, 1.499122797280088, 1.6292880884618404, 1.7567939506852532, 1.8814322606695195, 2.002999575737292, 2.1212974658869204, 2.236132837682685, 2.347318249434345, 2.4546722171515323, 2.5580195107736037, 2.657191440191445, 2.7520261305943245, 2.8423687866923855, 2.92807194538349, 3.0089957164519925, 3.0850080109065603, 3.155984756584329, 3.221810100669482, 3.2823765987956803, 3.3375853904236705, 3.3873463602078298, 3.431578285088237, 3.47020896686818, 3.5031753500607072, 3.5304236248118475, 3.5519093147325265, 3.56759734949579, 3.5774621220808513, 3.5814875305705196, 3.5796670044337864, 3.572003515250671, 3.5585095718618116, 3.539207199950737, 3.5141279060921202, 3.483312626324722, 3.4468116593329525, 3.404684584346116, 3.357000163889355, 3.303836231545033, 3.245279564907741, 3.1814257439403266, 3.1123789949621123, 3.038252020523996, 2.9591658154480753, 2.8752494693321173, 2.7866399558411974, 2.693481909130458, 2.595927387763932, 2.4941356265147543, 2.3882727764519123, 2.2785116337377693, 2.165031357579037, 2.0480171777915794, 1.9276600924563771, 1.8041565561601636, 1.6777081593295828, 1.548521299182318, 1.416806842832266, 1.2827797830986363], [-3.7724102056085838, -3.7212434316175758, -3.6640026044169773, -3.600781156171759, -3.5316822810017543, -3.4568187665415855, -3.3763128098414183, -3.2902958179090653, -3.1989081932189998, -3.1022991045384014, -3.000626243444282, -2.8940555669291363, -2.782761026515253, -2.666924284319834, -2.546734416534387, -2.422387604802386, -2.2940868159989547, -2.1620414709352724, -2.0264671025284193, -1.8875850039946802, -1.7456218676404989, -1.6008094148406964, -1.4533840178079172, -1.3035863137706758, -1.1516608121897818, -0.9978554956542394, -0.8424214151081024, -0.6856122800689448, -0.5276840445068558, -0.36889448905987177, -0.20950280026782497, -0.04976914751137329, 0.11004574165321213, 0.269681007070365, 0.42887608177797176, 0.5873711173215455, 0.7449074078956057, 0.9012278126199735, 1.0560771752616596, 1.2092027407173123, 1.3603545675763695, 1.5092859360915432, 1.6557537508906632, 1.7995189377726097, 1.9403468339396244, 2.078007571029041, 2.21227645031923, 2.3429343094973265, 2.469767880390076, 2.5925701370738845, 2.711140633795851, 2.8252858321542567, 2.9348194170043955, 3.039562600574156, 3.1393444142929443, 3.234001987857588, 3.3233808150797426, 3.407335006080842, 3.4857275254229525, 3.5584304157868436, 3.6253250068321603, 3.6863021088988073, 3.741262191233334, 3.7901155444494443, 3.832782426957439, 3.869193195123569, 3.8992884169468613, 3.9230189690678636, 3.9403461169509493, 3.9512415781093235, 3.955687568269521, 3.9536768304000423, 3.9452126465567465, 3.9303088325256708, 3.9089897152720106, 3.881290093232085, 3.847255179513085, 3.8069405280933277, 3.7604119431434744, 3.7077453716167277, 3.649026779283318, 3.5843520104116435, 3.513826631325072, 3.437565758089801, 3.3556938686149875, 3.268344599471895, 3.1756605277636747, 3.0777929384018288, 2.9749015771692413, 2.867154389972814, 2.754727248711348, 2.6378036642060976, 2.5165744866625896, 2.3912375941526265, 2.2619975696249486, 2.129065366971778, 1.9926579666962754, 1.8529980217429922, 1.7103134940694047, 1.5648372825517045], [-4.172308520507298, -4.123115004837136, -4.067191475291544, -4.004629213857414, -3.935530338687409, -3.8600076374161523, -3.7781843830609785, -3.6901941328077794, -3.5961805100103543, -3.49629696975913, -3.3907065484018766, -3.279581597425274, -3.1631035021317224, -3.041462385570565, -2.9148567982070004, -2.7834933938352266, -2.6475865922648043, -2.5073582293308436, -2.3630371947992512, -2.2148590587581216, -2.063065687105064, -1.907904846758107, -1.7496298012345761, -1.5884988972580643, -1.424775143068279, -1.2587257791220425, -1.0906218418862164, -0.9207377214345125, -0.7493507135703519, -0.5767405672067873, -0.40318902774230825, -0.2289793771778621, -0.05439597172571897, 0.12027622233504953, 0.294752093798885, 0.4687468519106197, 0.6419764912192827, 0.8141582551500992, 0.9850110975379733, 1.1542561413691508, 1.32161713398223, 1.4868208979855648, 1.6495977771549866, 1.8096820765840649, 1.9668124963684472, 2.1207325581163974, 2.271191023589335, 2.4179423047890753, 2.5607468648223866, 2.699371608888525, 2.8335902647515816, 2.963183752076609, 3.0879405400266426, 3.2076569925369682, 3.3221377007030153, 3.4311958017393582, 3.534653283989197, 3.632341277486437, 3.7241003295961352, 3.8097806652833563, 3.8892424315856307, 3.9623559258899705, 4.029001807641824, 4.089071293140422, 4.142466333102536, 4.189099772704832, 4.228895493843593, 4.261788539379586, 4.287725219165284, 4.306663197681397, 4.318571563139619, 4.323430877938846, 4.3212332103924815, 4.311982147675042, 4.295692789966946, 4.272391725807019, 4.242116988692976, 4.204917995000691, 4.160855463323607, 4.11000131536394, 4.052438558537437, 3.9882611504833383, 3.9175738457006495, 3.840492024561118, 3.7571415049779473, 3.6676583370377003, 3.572188580930587, 3.4708880685416066, 3.3639221490917186, 3.2514654192441848, 3.133701438116657, 3.0108224276641575, 2.8830289589220253, 2.7505296246209547, 2.6135406987085013, 2.472285783332825, 2.3269954438648464, 2.1779068325546067, 2.0252633014360972, 1.8693140051123787], [-4.566306385728026, -4.52038732162849, -4.467089790190258, -4.406500787076974, -4.338719209561976, -4.263855695101807, -4.182032440746633, -4.093383003682346, -3.9980520832299145, -3.896195284657844, -3.7879788651932307, -3.6735794626460025, -3.553183807089317, -3.4269884160667026, -3.29519927382347, -3.1580314950859574, -3.015708973937418, -2.8684640183636843, -2.7165369710651004, -2.560175817153693, -2.399635779375896, -2.2351789015215484, -2.067073620699141, -1.8955943291754749, -1.7210209264949379, -1.543638362609431, -1.3637361727647135, -1.1816080049023157, -0.9975511403484658, -0.8118660085723537, -0.6248556968058043, -0.4368254553247777, -0.24808219920020225, -0.058934007331439275, 0.1303103804199539, 0.3193420671753042, 0.507852503240195, 0.6955339897391735, 0.8820801808616503, 1.0671865838992765, 1.2505510562585438, 1.4318742986374033, 1.610860343560847, 1.7872170384780857, 1.9606565226327706, 2.1308956969278525, 2.2976566860181578, 2.460667291876432, 2.6196614380924905, 2.774379604180274, 2.924569249183892, 3.0699852238912504, 3.2103901709823734, 3.3455549124593196, 3.4752588237252624, 3.5992901937021706, 3.717446570399268, 3.8295350913682076, 3.935372798505589, 4.034786936688952, 4.127615235758813, 4.213706175386483, 4.292919232395294, 4.3651251101315856, 4.430205949511025, 4.488055521395809, 4.5385793999886905, 4.581695116960848, 4.617332296062016, 4.645432767993118, 4.665950665353954, 4.67885249751092, 4.684117205262579, 4.681736195213846, 4.67171335380268, 4.6540650409563895, 4.62882006338791, 4.5960196275756235, 4.555717272503497, 4.507978782271302, 4.452882078717569, 4.39051709423055, 4.320985624954769, 4.244401164632812, 4.160888719353524, 4.070584603509017, 3.9736362172935467, 3.8702018061074117, 3.760450202258631, 3.6445605493839626, 3.5227220100391343, 3.395133456935529, 3.2620031483273344, 3.1235483880790147, 2.979995170967937, 2.8315778138011534, 2.6785385729484, 2.5211272489156538, 2.359600778604668, 2.194222815923993], [-4.951832416224162, -4.910467626586082, -4.8610876554109845, -4.803773103868326, -4.738617524460688, -4.6657272683213655, -4.585221311621198, -4.497231061367999, -4.401900140915567, -4.299384155532408, -4.189850438412789, -4.073477777544714, -3.950456123880669, -3.8209862812874293, -3.685279578781062, -3.5435575255820932, -3.396051449553885, -3.2430021196144128, -3.084659352737712, -2.921281606186531, -2.753135555641743, -2.5804956599171174, -2.403643712969971, -2.2228683839389145, -2.0384647459595016, -1.8507337945268398, -1.6599819561913707, -1.4665205883897032, -1.2706654712269612, -1.072736292040156, -0.8730561235839169, -0.6719508966903431, -0.46974886826369744, -0.2667800854783531, -0.06337584705452848, 0.1401318375088163, 0.3434107898612657, 0.546129205003858, 0.7479561928825635, 0.9485623184883516, 1.1476201395822216, 1.344804741167529, 1.5397942658371617, 1.732270439129925, 1.921919089038631, 2.108430658821874, 2.291500712282482, 2.470830430687887, 2.6461271005213134, 2.8171045912676305, 2.983483822453996, 3.1449932191829992, 3.301369155414683, 3.45235638427396, 3.597708454680993, 3.737188113624521, 3.8705676934215143, 3.997629483331018, 4.118166084915659, 4.231980750570721, 4.338887704668266, 4.438712446792078, 4.531292036568475, 4.616475359628097, 4.694123374264494, 4.764109338386971, 4.826319016397179, 4.880650865651824, 4.927016202207112, 4.96533934557438, 4.995557742250684, 5.017622067822638, 5.031496307476912, 5.0371578147859175, 5.034597348672776, 5.023819088495192, 5.0048406272236425, 4.977692942724993, 4.94242034719843, 4.8990804148462335, 4.847743887897458, 4.78849456113791, 4.721429145134898, 4.6466571083800225, 4.564300498607642, 4.47449374358071, 4.377383431669121, 4.273128072578726, 4.161897838621588, 4.043874286949766, 3.919250063206044, 3.788228587075304, 3.6510237202498095, 3.5078594173503834, 3.358969360373244, 3.204596577259211, 3.0449930452078333, 2.8804192793839802, 2.7111439076882196, 2.5374432322850384], [-5.326370517474893, -5.290810102202552, -5.246613685907123, -5.1938534088259205, -5.132615389681416, -5.062999585112719, -4.985119626519912, -4.899102634587559, -4.805089011790134, -4.7032322132180635, -4.593698496098444, -4.476666648419282, -4.352327697100229, -4.220884596186143, -4.082551895572417, -3.937555390802822, -3.7861317545114797, -3.628528150110551, -3.4650018283541817, -3.295819707437262, -3.1212579373143567, -2.941601448949958, -2.7571434892358204, -2.5681851423344852, -2.3750348382303326, -2.1780078492902812, -1.9774257756559361, -1.773616020307113, -1.5669112546536201, -1.3576488755275444, -1.146170454462415, -0.9328211801581463, -0.7179492950418109, -0.5019055268439203, -0.28504251611802456, -0.06771424063809839, 0.14972456238678156, 0.36691897533737006, 0.5835144795036333, 0.7991575337530352, 1.013496151603134, 1.2261804757566042, 1.4368633491608378, 1.6452008816600507, 1.8508530113149457, 2.0534840594737127, 2.2527632786883416, 2.4483653925819087, 2.6399711267856367, 2.8272677300790856, 3.009949484882819, 3.1877182062703557, 3.360283728684788, 3.527364379565709, 3.688687439113303, 3.8439895854391626, 3.993017324377246, 4.135527403253371, 4.271287207937906, 4.400075142533533, 4.521680991078337, 4.635906260673848, 4.7425645054779295, 4.841481631033693, 4.9324961784376775, 5.015459587883484, 5.090236441150648, 5.156704682642987, 5.214755818615602, 5.264295094265357, 5.30524164839578, 5.337528645403903, 5.361103384373644, 5.375927385097638, 5.381976450887111, 5.379240708067266, 5.367724622093741, 5.347446990263798, 5.318440911034164, 5.280753729995605, 5.234446962592393, 5.179596193712844, 5.116290954314789, 5.044634575287385, 4.964744018787774, 4.876749687327921, 4.780795210923241, 4.677037212650421, 4.565645052997165, 4.446800553421082, 4.320697699569004, 4.187542324641109, 4.047551773416721, 3.9009545474901612, 3.747989932295721, 3.588907606530582, 3.4239672346131425, 3.2534380428420397, 3.077598379947655, 2.8967352627533667], [-5.687476306507733, -5.658932483875166, -5.621151787157853, -5.57419588444239, -5.518141420177554, -5.453079890070313, -5.37911749174064, -5.296374951378914, -5.204987326688848, -5.105103786437624, -4.99688736697301, -4.880514706104936, -4.756175754785884, -4.62407346706071, -4.484423468791976, -4.337453705701536, -4.183404071302833, -4.022526015331279, -3.8550821333117757, -3.6813457379334, -3.5016004129308262, -3.3161395502006887, -3.125265870908434, -2.929290931367326, -2.728534614496182, -2.523324607685853, -2.313995867926767, -2.1008900750705544, -1.8843550741181856, -1.664744307444955, -1.4424162378890735, -1.2177337636455348, -0.9910636259203089, -0.7627758103117235, -0.533242942896138, -0.3028396820036656, -0.07194210667671452, 0.15907289719045536, 0.38982825202914917, 0.6199473040865473, 0.8490544382242038, 1.0767756910212878, 1.302739361181751, 1.526576616249125, 1.7479220946386218, 1.9664145020038384, 2.1816972009646562, 2.393418793233747, 2.601233693191497, 2.8048026919731073, 3.0037935111471423, 3.197881345081811, 3.386749391113611, 3.5700893666530655, 3.7476020123834077, 3.9189975807309114, 4.083996308809556, 4.242328875068012, 4.393736838893637, 4.537973062455885, 4.674802114100584, 4.80400065263666, 4.9253577918880005, 5.038675444915463, 5.143768647347132, 5.240465859289079, 5.328609245323832, 5.4080549321395, 5.478673243369071, 5.540348911256521, 5.592981264804271, 5.636484394094881, 5.67078729051874, 5.695833962678902, 5.7115835277838425, 5.718010278378986, 5.715103724308076, 5.702868609835871, 5.681324905904262, 5.6505077775344095, 5.610467526428128, 5.561269508862216, 5.502994029009725, 5.435736207862319, 5.359605827967664, 5.2747271542352845, 5.181238731103373, 5.0792931563976325, 4.969056832251285, 4.850709693492777, 4.7244449139445805, 4.590468591112426, 4.448999409779681, 4.300268285055966, 4.144517985462633, 3.98200273667036, 3.8129878065356198, 3.6377490721134107, 3.4565725693529643, 3.2697540262114266], [-6.032793064903304, -6.012432260141015, -5.982257576190694, -5.942318266115003, -5.892679521428285, -5.833422365686783, -5.764643522236778, -5.686455256336508, -5.598985191909577, -5.502376103228977, -5.396785681871724, -5.282386279324497, -5.159364625660451, -5.027921524746365, -4.888271526477632, -4.740642576576103, -4.585275644522394, -4.422424330229994, -4.25235445010313, -4.075343603154129, -3.8916807178884203, -3.701665580696827, -3.5056083465249035, -3.3038290326180566, -3.0966569961687958, -2.8844303967186935, -2.6674956441926168, -2.446206833466126, -2.2209251663890166, -1.9920183622083965, -1.7598600573536385, -1.5248291955629454, -1.2873094093469675, -1.047688393799112, -0.8063572737746361, -0.5637099654714688, -0.32014253345482846, -0.07605254417511231, 0.1681615829656531, 0.4121012259396326, 0.6553682107497196, 0.8975654613547999, 1.13829764780282, 1.3771718315138095, 1.613798106659535, 1.8477902365929126, 2.0787662842883323, 2.306349235763873, 2.530167615467811, 2.749856092624946, 2.965056077553003, 3.1754163069758325, 3.380593417377934, 3.5802525054645207, 3.7740676748122306, 3.961722567818268, 4.1429108820796605, 4.317336870359761, 4.484715823325947, 4.6447745342705264, 4.797251745056315, 4.941898572559012, 5.078478914910248, 5.206769836878275, 5.326561933757203, 5.43765967317085, 5.539881714233286, 5.633061203545095, 5.717046047542254, 5.7916991607530335, 5.856898689557741, 5.912538211086043, 5.95852690692723, 5.994789711369879, 6.021267433928939, 6.03791685596025, 6.044710801204808, 6.041638180147592, 6.028704008118597, 6.005929397106483, 5.973351521298225, 5.931023556401019, 5.879014592845459, 5.8174095230116905, 5.746308902662599, 5.665828786810218, 5.576100540283264, 5.477270623304996, 5.369500352431417, 5.252965637239988, 5.127856693198701, 4.99437773118412, 4.852746624155258, 4.703194551527283, 4.545965621825593, 4.381316474236165, 4.209515859702532, 4.0308442022531885, 3.8455931412754416, 3.654065055482798], [-6.360067119666746, -6.349002352411846, -6.327574334586265, -6.295818042380852, -6.253785310461126, -6.201544747359396, -6.1391816234875085, -6.066797731952978, -5.984511222405714, -5.892456408186572, -5.790783547092453, -5.679658596115851, -5.559262940559164, -5.429793097965925, -5.291460397352198, -5.144490634261757, -4.989123702208049, -4.82561320110456, -4.65422602332269, -4.475241918052843, -4.288953034679775, -4.095663445917555, -3.895688651482498, -3.6893550631141947, -3.4769994717852652, -3.2589684979694242, -3.0356180258652303, -2.8073126224989666, -2.574424942654866, -2.3373351206039676, -2.0964301496244704, -1.8521032503263868, -1.6047532288115325, -1.3547838257165226, -1.1026030572012946, -0.8486225489588572, -0.5932568643333256, -0.3369228276429155, -0.08003884381246085, 0.17697578457406493, 0.43370154168622355, 0.6897193832078852, 0.9446114203283367, 1.1979616018473207, 1.449356393280604, 1.6983854518575972, 1.9446422963092456, 2.187724970352947, 2.427236698791488, 2.6627865351550715, 2.8939899998293166, 3.120469707627671, 3.3418559837837947, 3.5577874673585415, 3.767911701076554, 3.971885706629723, 4.169376544508483, 4.360061857447118, 4.543630396596051, 4.719782529562275, 4.888230729488625, 5.048700044373653, 5.200928545865978, 5.344667756800627, 5.47968305677945, 5.605754065133662, 5.722675000643357, 5.830255017426866, 5.928318516451709, 6.016705432158629, 6.095271493730923, 6.163888460582556, 6.2224443316807, 6.270843528361043, 6.30900705033743, 6.336872604651228, 6.354394707349904, 6.361544757728856, 6.358311085015329, 6.3446989674182035, 6.32073062351256, 6.286445175973093, 6.241898587715557, 6.187163570550494, 6.122329466498334, 6.047502101959589, 5.962803614978198, 5.86837225587993, 5.764362161611308, 5.650943104147352, 5.528300213378833, 5.396633674931333, 5.256158403409378, 5.107103691598978, 4.9497128362011695, 4.784242740707482, 4.610963496065492, 4.430157939818994, 4.242121194442354, 4.047160185622575], [-6.667162551584156, -6.666446171876411, -6.654848389349706, -6.632388134651684, -6.599102068856697, -6.555044523625245, -6.50028741252035, -6.434920113625591, -6.3590493236564445, -6.272798883803041, -6.17630957758859, -6.069738901073445, -5.953260805779894, -5.827065414757279, -5.691358712250912, -5.546362207481318, -5.392312573082616, -5.229461258790215, -5.058074081008345, -4.8784307889274094, -4.6908246078993345, -4.49556176081627, -4.292960968273852, -4.083352928334923, -3.8670797767428597, -3.644494528465562, -3.4159605014817, -3.1818507237496974, -2.94254732432748, -2.6984409096368083, -2.4499299258903195, -2.197420008721958, -1.9413233210823644, -1.682057880479964, -1.4200468766658596, -1.1557179808762679, -0.8895026477599846, -0.6218354111303039, -0.35315317469095797, -0.08389449889373823, 0.1855011149081096, 0.4545939418423175, 0.7229447512648406, 0.9901155237004051, 1.2556701658061207, 1.5191752221911083, 1.7802005829303145, 2.0383201856176316, 2.2931127108124003, 2.5441622697441457, 2.7910590831529936, 3.0334001501577967, 3.2707899060601084, 3.502840868010381, 3.7291742674824144, 3.949420668523744, 4.163220570772807, 4.370224996258573, 4.570096059024875, 4.762507516649632, 4.947145302758729, 5.123708039665402, 5.291907530298289, 5.451469228615268, 5.60213268773518, 5.7436519850560135, 5.875796123665604, 5.998349409389679, 6.11111180286178, 6.213899246040399, 6.306543962640378, 6.3888947319881515, 6.460817135853883, 6.522193777857556, 6.5729244750908995, 6.612926421642391, 6.642134323758394, 6.660500506419833, 6.667994991160426, 6.664605544999468, 6.650337700409292, 6.625214746284815, 6.589277689929892, 6.542585190122567, 6.485213461368431, 6.417256149498393, 6.338824178813933, 6.2500455710293, 6.151065236306242, 6.042044736722286, 5.9231620225587225, 5.794611141838695, 5.65660192358951, 5.50935963534619, 5.35312461545529, 5.188151880779176, 5.014710710441069, 4.8330842062903105, 4.643568830805314, 4.44647392318838], [-6.952075135071545, -6.96269195530307, -6.961943821267116, -6.949831954116249, -6.9263761236201375, -6.891614615896078, -6.845604170915921, -6.78841988989144, -6.720155112689286, -6.640921265475654, -6.550847678839322, -6.450081376689915, -6.3387868362760305, -6.217145719714874, -6.085356577471641, -5.943634524272672, -5.792210887981329, -5.631332832009775, -5.461262951882912, -5.282278846613064, -5.09467266558499, -4.898750631690836, -4.694832541493413, -4.483251243233638, -4.264352093534214, -4.03849239368629, -3.8060408064392943, -3.567376754245835, -3.3228897999439493, -3.072979010887539, -2.818052307562933, -2.5585257977547986, -2.2948230973482135, -2.027374638875535, -1.7566169689366915, -1.4829920356397093, -1.2069464672245496, -0.9289308430477154, -0.6493989581176169, -0.3688070823811267, -0.08761321597038751, 0.19372365837451433, 0.4747443244867262, 0.7549900823348388, 1.0340034967426246, 1.3113291440441928, 1.5865143554558312, 1.8591099559511428, 2.12867099743347, 2.3947574850088293, 2.656935095173906, 2.914775884746871, 3.1678589893837854, 3.4157713105405065, 3.658108189758728, 3.8944740691755833, 4.124483137178667, 4.347759958152594, 4.563940085289198, 4.772670655461087, 4.973610965187553, 5.166433026752759, 5.350822103568393, 5.526477223907017, 5.6931116721674915, 5.850453456870655, 5.998245754621335, 6.136247329312029, 6.264232925884027, 6.381993638003212, 6.489337249050449, 6.586088545869922, 6.672089604763337, 6.747200049263151, 6.811297279264082, 6.864276671138904, 6.906051748511864, 6.936554323410995, 6.955734607568916, 6.963561293690445, 6.960021606554388, 6.945121323866077, 6.918884766826624, 6.881354760434289, 6.832592563582766, 6.772677769070467, 6.701708173684031, 6.619799618568105, 6.527085800141977, 6.423718051871656, 6.309865097253658, 6.185712774413629, 6.051463732769401, 5.907337102253552, 5.753568135635422, 5.590407824526388, 5.418122489695188, 5.236993346362005, 5.0473160451808905, 4.849400189659697], [-7.212945418539347, -7.235806286181566, -7.246856404754503, -7.246077737542906, -7.233471555537546, -7.209058435360641, -7.17287822567936, -7.124989982162269, -7.0654718710848545, -6.994421041741503, -6.91195346787216, -6.818203758362525, -6.71332493752676, -6.597488195331341, -6.470882607967777, -6.333714829230264, -6.186208753202056, -6.028605148801127, -5.8611612667816235, -5.684150419832623, -5.497861536459554, -5.302598689376489, -5.098680599179065, -4.8864401141082014, -4.666223666753772, -4.438390708585002, -4.203313123230647, -3.9613746194665618, -3.7129701049015416, -3.458505041383675, -3.198394783179401, -2.933063899005527, -2.6629454790208253, -2.3884804279083736, -2.110116745202539, -1.8283087940352782, -1.5435165594953792, -1.2562048978111542, -0.9668427775821806, -0.6759025142985355, -0.3838589993970447, -0.09118892511287324, 0.20162999360822997, 0.4941197988670365, 0.785803069964512, 1.0762037026786273, 1.364847686392336, 1.651263877804229, 1.9349847699589868, 2.2155472553423423, 2.4924933817949766, 2.7653711000115555, 3.0337350014046987, 3.297147045129581, 3.555177273082406, 3.807404511705709, 4.053417059454982, 4.292813358804433, 4.525202651695058, 4.750205617355109, 4.967454991451875, 5.176596165564214, 5.377287765997216, 5.569202210994374, 5.7520262454375946, 5.925461452162403, 6.089224739053645, 6.243048801126671, 6.386682556839757, 6.519891557925562, 6.642458372072696, 6.7541829378327325, 6.854882891173407, 6.944393863144921, 7.0225697481735345, 7.089282942544498, 7.144424552685045, 7.187904572907508, 7.219652032322385, 7.239615110681607, 7.247761222962877, 7.244077072557054, 7.2285686729717185, 7.20126133801555, 7.162199640479496, 7.1114473393821855, 7.049087275898364, 6.975221238140177, 6.889969795012073, 6.793472099410459, 6.68588566108939, 6.567386089562998, 6.4381668074643335, 6.298438734828484, 6.14842994481531, 5.988385291433749, 5.818566009875318, 5.639249290109214, 5.450727824435008, 5.2533093297313895], [-7.448070859904913, -7.48400671295968, -7.507726688222307, -7.519192068421404, -7.518384139024935, -7.5053042187873, -7.47997365759677, -7.4424338016268345, -7.392745925848296, -7.330991134012334, -7.257270226267731, -7.171703534628375, -7.0744307265596005, -6.965610577003954, -6.845420709218507, -6.714057304846733, -6.571734783698194, -6.418685453758721, -6.255159132002353, -6.081422736623976, -5.897759851358268, -5.704470262596049, -5.501869470053632, -5.290288171793857, -5.070071724439427, -4.8415795794595695, -4.605184696450206, -4.361272934365275, -4.110242421692895, -3.8525029066044034, -3.588475088136995, -3.318589929501665, -3.043287954637295, -2.7630185291591043, -2.4782391268751525, -2.189414583068119, -1.8970163357612289, -1.6015216562067258, -1.3034128698530116, -1.003176569061977, -0.7013028188616102, -0.398284357030283, -0.09461578981842855, 0.20920721537964804, 0.512688739086014, 0.8153334192108241, 1.1166472596142225, 1.4161384364386618, 1.7133181008954907, 2.0077011771954276, 2.2988071543204924, 2.5861608703450676, 2.8692932880257684, 3.1477422603942653, 3.4210532851033184, 3.688780246294783, 3.950486142778659, 4.205743801334559, 4.454136573971372, 4.695259018006947, 4.928717557857736, 5.1541311274582355, 5.371131792261539, 5.579365349805829, 5.778491907866417, 5.9681864392497594, 6.1481393123237496, 6.3180567964184196, 6.477661541272067, 6.626693029740204, 6.764908003028427, 6.892080857755085, 7.008004014195654, 7.112488255107732, 7.2053630345836055, 7.286476756426269, 7.3556970215945, 7.412910844313103, 7.458024836495567, 7.490965360178119, 7.511678647716347, 7.520130889548216, 7.516308289380209, 7.500217086706527, 7.471883546624593, 7.43135391696345, 7.378694352795096, 7.313990808451897, 7.237348897226408, 7.148893718982533, 7.048769655959488, 6.937140137101802, 6.814187371300068, 6.680112049977856, 6.535133019510245, 6.379486924008683, 6.213427819055209, 6.037226757016578, 5.85117134461514, 5.655565273478602], [-7.655916938051828, -7.705673382023176, -7.742852129587874, -7.767392495199518, -7.7792544224927385, -7.778418549665797, -7.7648862410841595, -7.738679585053493, -7.699841357765706, -7.648434953476899, -7.584544281031173, -7.508273626899207, -7.419747484955171, -7.319110353269804, -7.206526498251348, -7.082179686519346, -6.946272884948925, -6.799027929375191, -6.64068516249849, -6.47150304158157, -6.2917577165789975, -6.101742579387404, -5.901767784952345, -5.6921597450134165, -5.4732605953139934, -5.245427637145224, -5.009032754135862, -4.764461805239843, -4.512113994912456, -4.252401221503118, -3.9857474049283494, -3.7125877947223938, -3.433368259594889, -3.1485445596552424, -2.858581602491622, -2.5639526843188496, -2.2651387174338424, -1.9626274452395664, -1.6569126461188612, -1.3484933274575486, -1.0378729111324412, -0.7255584117937244, -0.41205960928299357, -0.09788821653776258, 0.21644295565935545, 0.5304208357234357, 0.8435329287357245, 1.1552681529708586, 1.4651176741173768, 1.77257573582986, 2.0771404852569963, 2.378314792198153, 2.6756070605512843, 2.9685320307277765, 3.256611571724388, 3.5393754615594677, 3.816362154799571, 4.087119535923633, 4.351205657295049, 4.608189460537073, 4.85765148013405, 5.099184528110074, 5.3323943586674, 5.5569003116998505, 5.772335934130741, 5.978349578061215, 6.174604974752572, 6.360781783505775, 6.5365761145421715, 6.701701025031952, 6.855886987460737, 6.998882329569726, 7.130453645151385, 7.250386175030084, 7.358484157605853, 7.45457114838908, 7.538490308004571, 7.610104658194873, 7.6692973054050215, 7.715971631583715, 7.750051451889529, 7.771481139044729, 7.780225714133678, 7.776270903697691, 7.7596231630330825, 7.730309665654428, 7.688378258940192, 7.633897386033161, 7.56695597412314, 7.487663289294253, 7.396148758173823, 7.292561756673876, 7.177071366170166, 7.049866097516659, 6.911153583345979, 6.761160239158054, 6.600130893750143, 6.4283283895915115, 6.246033153795031, 6.053542740385964], [-7.835127167718316, -7.89935960949766, -7.9506982077347885, -7.989059164263013, -8.014379863858306, -8.02661897644391, -8.025756524551962, -8.01179391593199, -7.9847539412530955, -7.944680736903559, -7.891639712948583, -7.825717446363772, -7.747021539718613, -7.655680445540636, -7.551843256646919, -7.435679462785195, -7.307378673981765, -7.167150311047804, -7.0152232637492205, -6.85184551719804, -6.677283747075134, -6.491822884344998, -6.295765650173075, -6.0894320618047715, -5.873158910212707, -5.6472992103647845, -5.412221625010428, -5.168309862925497, -4.915962052598111, -4.655590092377684, -4.387618978147909, -4.112486109621108, -3.8306405763862434, -3.542542424875971, -3.248661907449216, -2.9494787148149877, -2.645481193050312, -2.337165546490297, -2.025035027791475, -1.7095991164903892, -1.3913726873982908, -1.070875170189296, -0.7486297015538255, -0.425162271301204, -0.10100086380520956, 0.22332540380602506, 0.547287145309066, 0.8703555694834701, 1.1920033432388797, 1.5117054523620568, 1.8289400584788824, 2.1431893508325857, 2.453940391487788, 2.760685952580861, 3.062925344249904, 3.360165231892979, 3.651920441420641, 3.937714751188317, 4.217081669315961, 4.489565195126147, 4.7547205634577265, 5.0121149706402, 5.261328280943713, 5.501953712351689, 5.733598500536601, 5.955884539955235, 6.168449001016896, 6.37094492231723, 6.563041776970994, 6.744426012119309, 6.914801560730842, 7.073890324861475, 7.2214326295836955, 7.357187646844726, 7.480933788561584, 7.592469068311432, 7.691611431026818, 7.778199050157685, 7.8520905918150925, 7.913165445465484, 7.961323920798984, 7.9964874104503245, 8.018598518306861, 8.027621153194204, 8.023540587786552, 8.00636348264559, 7.976117875348682, 7.932853134724139, 7.876639880268236, 7.807569866875517, 7.725755835070554, 7.631331326985597, 7.524450468384501, 7.405287717088733, 7.2740375782160775, 7.130914286696858, 6.976151457585878, 6.810001704740882, 6.632736228489965, 6.444644372960898], [-7.984531952453633, -8.06380132287659, -8.129908437401276, -8.182745391737496, -8.22222594200522, -8.248285645507407, -8.26088196591753, -8.259994342710105, -8.245624224720899, -8.217795067782056, -8.176552296435972, -8.121963229790431, -8.054116971636024, -7.9731242650052, -7.87911731141036, -7.772249555056028, -7.652695432377336, -7.520650087313653, -7.3763290527820615, -7.219967898870653, -7.051821848325865, -6.872165359961468, -6.6812916806692115, -6.479512366762366, -6.2671567754334365, -6.044571527156139, -5.812119939909142, -5.570181436145058, -5.3191509234726775, -5.059438150063339, -4.7914670358335645, -4.515674980495675, -4.232512149605803, -3.942440739774685, -3.6459342242405706, -3.3434765800357162, -3.0355614980079064, -2.722691576986435, -2.4053775034079443, -2.08413721774112, -1.7594950690709041, -1.4319809592221366, -1.1021294778196746, -0.7704790296967752, -0.43757095607604146, -0.10394865095741634, 0.22984332584450096, 0.5632601375660595, 0.8957575598122207, 1.2267928688746683, 1.5558257276003853, 1.8823190673647827, 2.2057399647096743, 2.5255605112152946, 2.841258675186408, 3.1523191537460633, 3.458234213946157, 3.7585045215218282, 4.052639955937031, 4.340160410390832, 4.620596575478639, 4.893490705229274, 5.15839736426739, 5.414884154881815, 5.662532422812916, 5.900937940607075, 6.129711567422756, 6.348479884211251, 6.556885803235318, 6.754589150930764, 6.941267223159665, 7.116615311948832, 7.280347202853799, 7.432195642136475, 7.571912772993894, 7.699270540126074, 7.814061061982549, 7.916096970080037, 8.00521171483734, 8.081259837428297, 8.144117207209055, 8.193681224332096, 8.229870987216316, 8.2526274245998, 8.261913391959736, 8.257713732142104, 8.240035300102152, 8.208906951715303, 8.164379496676727, 8.106525615566495, 8.03543974121565, 7.95123790456686, 7.854057545281233, 7.744057287400454, 7.621416680430412, 7.486335906268931, 7.339035452455976, 7.179755752279687, 7.0087567923257, 6.82631768811027], [-8.103156217864559, -8.197925310855677, -8.279313222136594, -8.347187105116427, -8.401436171671708, -8.44197187298189, -8.468728044064445, -8.4816610117736, -8.480749666086465, -8.465995494560168, -8.437422579903775, -8.395077560668927, -8.339029555123412, -8.26937004843186, -8.18621274332777, -8.089693374520593, -7.979969487140778, -7.857220179584486, -7.721645811177632, -7.573467675136502, -7.412927637358706, -7.240287741634081, -7.055829781919943, -6.8598548423788355, -6.652682805929574, -6.434651832113733, -6.206117805129871, -5.967453752936412, -5.719049238371391, -5.461309723282899, -5.194655906708131, -4.919523038181329, -4.6363602072914585, -4.345629610649252, -4.04780579746013, -3.7433748949344303, -3.4328338147992605, -3.1166894422071634, -2.795457808365539, -2.4696632482372576, -2.139837544687374, -1.8065190604728674, -1.4702518594922882, -1.1315848187296158, -0.7910707323418906, -0.44926540935298753, -0.10672676642633094, 0.23598608280261812, 0.5783137403476557, 0.9196974369572568, 1.2595799441737263, 1.5974064838773943, 1.9326256338311771, 2.264690227747491, 2.593058248408294, 2.917193712380497, 3.2365675448826607, 3.5506584433749127, 3.858953728462547, 4.160950180724343, 4.456154862099709, 4.7440859204939585, 5.024273376288303, 5.296259889470889, 5.559601506136593, 5.8138683831372004, 6.05864548969907, 6.293533284863091, 6.518148369641178, 6.732124112824785, 6.935111249423988, 7.126778450760287, 7.306812865282623, 7.474920629223831, 7.630827346263999, 7.774278535417823, 7.905040046414859, 8.022898441894679, 8.12766134579307, 8.219157757350649, 8.297238330231302, 8.361775616294908, 8.412664273626387, 8.449821238481569, 8.47318586086919, 8.482720003547698, 8.478408104275335, 8.460257201211814, 8.428296921430196, 8.382579432557659, 8.323179357624142, 8.250193653257838, 8.16374145142633, 8.063963864981718, 7.951023757327144, 7.825105476580653, 7.686414554670311, 7.53517737185176, 7.371640787195798, 7.196071735649073], [-8.190225775334431, -8.300856227532, -8.397937487547518, -8.481311093095513, -8.550840956407024, -8.60641358636082, -8.647938273730931, -8.675347239248083, -8.688595744233378, -8.687662163623664, -8.672548021269339, -8.64327798744704, -8.599899838591213, -8.542484379310356, -8.471125326815157, -8.38593915794725, -8.287064919058187, -8.174663999049049, -8.048919865941073, -7.910037767407332, -7.758244395754275, -7.593787517899928, -7.4169355709527816, -7.227977224051447, -7.027220907180302, -6.8149943077302, -6.591643835626007, -6.357534057894004, -6.113047103592118, -5.858582040074252, -5.594554221606843, -5.321394611400887, -5.039549078166023, -4.7494776683349045, -4.451653855145783, -4.146563765808994, -3.8347053880188184, -3.5165877571058757, -3.1927301251568907, -2.863661113457984, -2.529917849644966, -2.192045090969003, -1.8505943351087557, -1.5061229199803443, -1.1591931140145022, -0.8103711983858259, -0.46022654269217833, -0.10933067559295084, 0.24174364807682602, 0.5924233821938181, 0.9421361247091626, 1.2903110519599854, 1.63637985040452, 1.9797776442601036, 2.3199439175297982, 2.6563234289126942, 2.9883671181045486, 3.315533002009347, 3.6372870593990516, 3.953104102577429, 4.262468634625225, 4.564875690827471, 4.859831662909373, 5.1468551047355735, 5.425477518157505, 5.695244117726275, 5.955714573022748, 6.206463727393217, 6.447082291917493, 6.677177513476624, 6.896373815829849, 7.104313412654308, 7.300656891546946, 7.485083768035286, 7.657293008692822, 7.817003522505179, 7.963954619684963, 8.097906437186426, 8.21864033022538, 8.325959229165289, 8.419687961187034, 8.499673536217259, 8.565785396648632, 8.61791563044438, 8.65597914727926, 8.679913817429469, 8.689680573184788, 8.68526347261741, 8.666669725603377, 8.63392968205417, 8.58709678237761, 8.526247470249, 8.451481067834818, 8.362919613672693, 8.260707663472239, 8.145012054161914, 8.01602163156704, 7.873946942163479, 7.719019889410131, 7.551493355221145], [-8.245172374682593, -8.371922305255685, -8.485007045017392, -8.584242009771836, -8.669465221817948, -8.740537574339907, -8.797343058466247, -8.839788952627014, -8.867805973899866, -8.881348391098147, -8.880394099416254, -8.864944656510536, -8.835025279956781, -8.790684806088468, -8.731995610282961, -8.659053488825748, -8.571977502545575, -8.470909782475708, -8.356015297858482, -8.227481586871898, -8.085518450517718, -7.930357610170759, -7.762252329348352, -7.581477000317296, -7.388326696213143, -7.183116689402814, -6.966181936876737, -6.737876533510473, -6.4985731340882555, -6.248662345031846, -5.988552086827571, -5.718666928192242, -5.439447393064737, -5.151349241554465, -4.85484272602035, -4.55041182349465, -4.238553445704474, -3.919776627980442, -3.594601698376451, -3.2635594283566984, -2.9271901664363202, -2.586042956189732, -2.24067464006635, -1.8916489504764822, -1.5395355896309717, -1.1849092996365567, -0.8283489243647917, -0.4704364646257915, -0.11175612818902358, 0.24710662379824644, 0.6055660324383316, 0.963036997196544, 1.3189360309399545, 1.672682212342693, 2.0236981341031397, 2.371410845425306, 2.715252787226052, 3.054662718541544, 3.3890866326209377, 3.7179786612118617, 4.040801965561729, 4.357029612680556, 4.666145435434889, 4.967644875069086, 5.261035804778576, 5.545839332990959, 5.82159058504366, 6.087839461982291, 6.34415137524117, 6.59010795600675, 6.825307738106163, 7.049366813306147, 7.261919457952806, 7.462618729929308, 7.651137034957145, 7.827166661316634, 7.990420282113786, 8.140631424273783, 8.277554903495485, 8.400967224457037, 8.510666945619343, 8.6064750080319, 8.688235027604364, 8.755813550366732, 8.809100270301506, 8.84800820939228, 8.872473859594859, 8.882457286499179, 8.877942194512832, 8.858935953459765, 8.825469586550792, 8.777597719745511, 8.715398492588287, 8.638973430663857, 8.54844727988073, 8.443967802852892, 8.325705537712137, 8.193853519744742, 8.048626966306863, 7.890262925532866], [-8.267637412788572, -8.410659738849827, -8.539953644365553, -8.655308087495522, -8.756534779287822, -8.84346849101623, -8.915967323877172, -8.973912940606102, -9.017210758635184, -9.045790104477078, -9.059604329082742, -9.058630883985021, -9.042871358103696, -9.012351475151965, -8.967121051648528, -8.90725391560386, -8.832847786013378, -8.744024113354204, -8.64092788134587, -8.523727370298557, -8.392613882435127, -8.247801429635324, -8.089526384111794, -7.918047092588127, -7.733643454608714, -7.536616465668663, -7.327287725909578, -7.105998915183086, -6.873111235338987, -6.629004820648316, -6.374078117323709, -6.1087472331498365, -5.833445258285465, -5.548621558345818, -5.254741040919064, -4.9522833967142095, -4.64174231657904, -4.323624685666097, -3.9984497560621057, -3.6667482992312648, -3.3290617396558804, -2.985941271088446, -2.6379469568577045, -2.285646815697211, -1.929615894588566, -1.5704353301326945, -1.2086913999812612, -0.8449745658765222, -0.47987850986163694, -0.11399916523459419, 0.252066256172482, 0.6177202388009733, 0.9823659386691235, 1.3454081575792516, 1.706254314638574, 2.064315413507895, 2.4190070037993925, 2.7697501350541556, 3.1159723017424406, 3.4571083777440585, 3.792601538783616, 4.121904171314989, 4.444478766371393, 4.759798796922171, 5.067349577304091, 5.36662910332447, 5.65714887166473, 5.938434677246976, 6.210027387262082, 6.471483690595824, 6.72237682142984, 6.962297255836273, 7.19085338022912, 7.407672130581147, 7.6123996013630055, 7.804701623210656, 7.984264308378109, 8.150794563085238, 8.304020565924308, 8.443692211544395, 8.569581518889448, 8.681483003323649, 8.779214012036675, 8.862615022181373, 8.931549901257238, 8.985906129314632, 9.025594982617106, 9.050551678461991, 9.060735480922903, 9.056129767341535, 9.036742055460248, 9.002603991151108, 8.95377129676147, 8.89032368016037, 8.812364704634199, 8.720021619844054, 8.613445154120626, 8.492809268435721, 8.358310872451959, 8.21016950311413], [-8.257474273977117, -8.416815712585501, -8.562418682471531, -8.694045521089663, -8.811481378635984, -8.914534568739915, -9.003036881347047, -9.076843857282423, -9.13583502404611, -9.179914092456166, -9.209009113818059, -9.22307259736395, -9.222081587770184, -9.20603770262645, -9.174967129795442, -9.128920584667357, -9.067973227378946, -8.99222454013232, -8.901798164813675, -8.796841701177055, -8.677526465922515, -8.544047213061983, -8.396621816029205, -8.235490912052693, -8.060917509372155, -7.873186557939494, -7.672604484305149, -7.459498691448936, -7.234217024371827, -6.997127202320929, -6.74861621857444, -6.489089708766306, -6.218971288781603, -5.938701863303413, -5.648738906139792, -5.3495557135055645, -5.041640631477754, -4.7254962588856575, -4.4016386269366725, -4.07059635691692, -3.7329097973415353, -3.389130141963012, -3.0398185300772647, -2.685545130595925, -2.32688821137992, -1.9644331953534233, -1.5987717049388555, -1.23050059637266, -0.8602209854781067, -0.4885372664853249, -0.11605612550013134, 0.25661444976813264, 0.6288661624032739, 1.0000913991836804, 1.369684222367743, 1.737041358744454, 2.101563184334827, 2.462654703136745, 2.8197265183157816, 3.17219579425667, 3.5194872079051187, 3.8610338878471855, 4.196278339593279, 4.524673355556604, 4.845682908240596, 5.158783025177555, 5.463462644190246, 5.759224447580486, 6.045585673883153, 6.322078905860509, 6.588252833450753, 6.843672990425347, 7.087922463552797, 7.320602573111272, 7.541333523639318, 7.749755023862495, 7.94552687478397, 8.128329524979259, 8.297864592188631, 8.45385535035585, 8.596047181318271, 8.724207990411005, 8.83812858530678, 8.937623017473122, 9.022528885689548, 9.092707601129273, 9.148044613572836, 9.188449598384343, 9.21385660394515, 9.224224159304347, 9.21953534187032, 9.199797805032878, 9.165043765670925, 9.115329951565965, 9.050737508807382, 8.971371869340569, 8.877362578874097, 8.768863085426883, 8.64605048886045, 8.509125251805107], [-8.21474928688976, -8.390350050156679, -8.552255543660078, -8.700201494825338, -8.833946416741963, -8.953272002334057, -9.057983480695208, -9.147909935006108, -9.222904581515984, -9.282845009132489, -9.327633379228985, -9.357196585343036, -9.3714863725055, -9.370479416005379, -9.35417735946193, -9.32260681214184, -9.27581930552586, -9.213891209195815, -9.136923606179241, -9.045042127955167, -8.93839674939032, -8.81716154394048, -8.681534399516593, -8.531736695479351, -8.368012941289566, -8.190630377404059, -7.99987853906859, -7.796068783719768, -7.579533782767398, -7.350626978586778, -7.109722007607281, -6.857212090438919, -6.593509390032334, -6.319044338919882, -6.03426493663593, -5.739636018463159, -5.435638496698483, -5.122768575677012, -4.801536941835386, -4.47246793013648, -4.136098668216102, -3.792978199648667, -3.4436665877629196, -3.088734001470492, -2.7287597845994807, -2.3643315102521374, -1.9960440217302098, -1.6244984615933888, -1.250301290435701, -0.8740632969814626, -0.49639860111660106, -0.11792365148259809, 0.2607437807306605, 0.6389856101508398, 1.0161844461018934, 1.3917246003488828, 1.7649930920639962, 2.1353806483733035, 2.5022826988512166, 2.8651003623392595, 3.2232414244784597, 3.576121304359797, 3.923164008714782, 4.2638030720888, 4.597482481462482, 4.9236575838119885, 5.24179597512675, 5.551378369433571, 5.851899446408668, 6.14286867619402, 6.4238111200718215, 6.694268205690031, 6.953798475573709, 7.2019783077003465, 7.438402606962995, 7.66268546639262, 7.874460797060284, 8.073382925631098, 8.259127158594492, 8.43139031224987, 8.589891207582594, 8.73437112922246, 8.864594247735603, 8.98034800456048, 9.08144345895965, 9.167715596421022, 9.239023598005147, 9.295251070198985, 9.336306234900881, 9.3621220792267, 9.372656464892565, 9.36789219699569, 9.347837052080996, 9.312523765447736, 9.262009977716836, 9.196378140746162, 9.11573538304728, 9.020213334923397, 8.909967913613919, 8.78517906879627], [-8.13974129159801, -8.331435476886574, -8.50953055657272, -8.673735832396515, -8.823783277930508, -8.959427976069732, -9.080448518801187, -9.18664736860025, -9.277851180864143, -9.353911086856174, -9.414702936698859, -9.460127502019361, -9.490110637916425, -9.504603403984465, -9.503582144197246, -9.48704852552077, -9.455029535192349, -9.407577436670298, -9.344769684326156, -9.266708797018664, -9.173522190755886, -9.065361970718595, -8.942404682984396, -8.804851026357849, -8.652925524776954, -8.486876160830718, -8.306973970986, -8.113512603184333, -7.90680783753084, -7.68719707085761, -7.455038766002852, -7.210711866704768, -6.954615179065175, -6.687166720592495, -6.408803037886661, -6.1199784940796285, -5.82116452719462, -5.512848880634606, -5.195534807056116, -4.869740246927834, -4.535996983114816, -4.194849772868228, -3.846855458637486, -3.4925820591561467, -3.1326078422851356, -2.767520381126704, -2.39791559494977, -2.024396776492103, -1.6475736072270553, -1.2680611622021913, -0.8864789060741953, -0.503449681978736, -0.11959869488580921, 0.26444750890010904, 0.64806206442928, 1.0306188113160422, 1.4114933157981466, 1.7900638899777324, 2.1657126065803842, 2.537826307575818, 2.9057976050138947, 3.2690258724423864, 3.626918225288123, 3.9788904886014116, 4.324368150583984, 4.662787300344185, 4.993595548348636, 5.316252928068005, 5.630232777345173, 5.935022598047104, 6.230124892597338, 6.5150579760235425, 6.789356762194779, 7.052573522965031, 7.304278618983908, 7.5440612009816945, 7.7715298803839605, 7.986313368161223, 8.188061080870806, 8.37644371290171, 8.551153773988455, 8.71190609111648, 8.858438273999926, 8.990511143371934, 9.107909121388476, 9.21044058350838, 9.297938171275252, 9.370259065490734, 9.427285219333191, 9.46892355104134, 9.495106095848296, 9.505790116918043, 9.500958175103243, 9.480618157410547, 9.444803264126907, 9.393571954627934, 9.327007851956733, 9.245219606328991, 9.148340717787102, 9.036529318292782], [-8.032939819783369, -8.240456492454264, -8.434522561280971, -8.61482125912641, -8.78105829084315, -8.932962313640909, -9.07028537998973, -9.192803342335925, -9.300316218970123, -9.392648520450313, -9.469649536047019, -9.531193579743046, -9.577180195386298, -9.60753432066079, -9.622206409608172, -9.621172513499857, -9.604434319927663, -9.572019150049227, -9.523979913992644, -9.460395024493145, -9.3813682689028, -9.28702863978209, -9.17753012434996, -9.05305145313596, -8.913795808244757, -8.759990491709214, -8.591886554473387, -8.409758386610989, -8.213903269448249, -8.004640890322172, -7.7823128207662915, -7.5472819589755975, -7.2999319374607445, -7.040666496858344, -6.769908826919499, -6.48810087575224, -6.19570262844535, -5.893191356251073, -5.581060837552251, -5.259820551885427, -4.929994848335543, -4.592122089659579, -4.246753773536198, -3.8944536323757046, -3.5357967131596997, -3.171368438812357, -2.801763652635423, -2.4275856473666675, -2.049445180446613, -1.6679594771009034, -1.2837512228655474, -0.8974475471994626, -0.5096789998434015, -0.12107852159602661, 0.26771958881281255, 0.6560807100653137, 1.0433709341255353, 1.428958100944894, 1.8122128303145373, 2.192509549180249, 2.569227512743065, 2.941751817678947, 3.3094744058235595, 3.6717950566840027, 4.0281223671573265, 4.377874716856797, 4.72048121747014, 5.055382644600202, 5.38203235056706, 5.699897156681539, 6.008458223533843, 6.307211897876629, 6.595670534720296, 6.873363293298543, 7.139836905604978, 7.394656416246379, 7.637405892404874, 7.8676891027502975, 8.085130164194483, 8.289374155431835, 8.48008769626477, 8.65695949176832, 8.819700840405787, 8.968046105265955, 9.101753147652797, 9.220603722319833, 9.324403833704075, 9.41298405257809, 9.486199792603294, 9.54393154633309, 9.586085080280606, 9.612591588732682, 9.623407806058975, 9.618516077332899, 9.597924387149153, 9.561666346590744, 9.509801138366804, 9.442413420210762, 9.359613186696555, 9.261535589698376], [-7.895041899861017, -8.118006861498532, -8.32772108946633, -8.5238422746941, -8.706050295551401, -8.874047740370804, -9.027560392902375, -9.166337679907102, -9.290153080158667, -9.39880449418599, -9.492114574152998, -9.569931013337186, -9.63212679473446, -9.678600398384475, -9.709275967078046, -9.72410343017618, -9.723058585338588, -9.706143138028315, -9.67338469872796, -9.624836737872076, -9.560578498569289, -9.480714867256573, -9.385376202496875, -9.274718122199456, -9.148921249610323, -9.008190918487328, -8.85275683794119, -8.682872717489488, -8.498815852935637, -8.300886673748831, -8.0894082526837, -7.864725778440163, -7.6272059922241855, -7.377236589129175, -7.115225585315072, -6.841600652018089, -6.55680841747819, -6.261313737923686, -5.955598938802982, -5.640163027501896, -5.315520878831681, -4.982202394617174, -4.640751638756926, -4.291725949167059, -3.935695028058414, -3.573240012031917, -3.204952523509989, -2.8314337050523224, -2.453293238132268, -2.0711483479754698, -1.6856227960851078, -1.2973458620981768, -0.9069513166347556, -0.5150763868167554, -0.12236071614478194, 0.2705546795691758, 0.6630284585090658, 1.0544199996941632, 1.4440904486419242, 1.8314037601474082, 2.2157277364772154, 2.596435059283376, 2.9729043135527284, 3.3445210019205613, 3.7106785476927615, 4.070779284939387, 4.4242354340434815, 4.770470061112814, 5.108918019688563, 5.439026873213736, 5.760257796755729, 6.0720864565110615, 6.3740038656568, 6.665517215151628, 6.946150678130495, 7.215446186579891, 7.472964179025944, 7.718284318014982, 7.951006176215396, 8.17074989002091, 8.377156779588447, 8.569889934298446, 8.748634762682101, 8.913099505917796, 9.063015714058658, 9.198138684213855, 9.318247859968398, 9.423147191389546, 9.512665455032117, 9.586656533420445, 9.64499965355071, 9.687599584024431, 9.714386790491282, 9.72531754914754, 9.720374018104884, 9.699564266513097, 9.66292226138905, 9.610507812173573, 9.542406473106626, 9.458729403580147], [-7.726947507898206, -7.964885738476286, -8.189823169543978, -8.401392643738369, -8.59924882373676, -8.783068755938494, -8.952552397610624, -9.107423106636997, -9.24742809307131, -9.372338831757167, -9.481951435341543, -9.576086987072863, -9.654591832840438, -9.717337831978615, -9.764222566426207, -9.795169507899866, -9.810128142808463, -9.809074054704638, -9.792008964138883, -9.758960725851164, -9.709983283304604, -9.645156580635504, -9.564586432163363, -9.468404349673941, -9.356767327757238, -9.229857587550825, -9.087882279306758, -8.9310731442676, -8.75968613640344, -8.574001004627329, -8.37432083617109, -8.160971561866821, -7.934301424141595, -7.69468040859374, -7.442499640078513, -7.17817074428892, -6.902125175873761, -6.614813514189536, -6.316704727835822, -6.008285409174509, -5.690058980082411, -5.362544870233643, -5.026277669253064, -4.681806254124654, -4.329692893279143, -3.970512328823271, -3.6048508384087032, -3.2333052782718825, -2.856482109006835, -2.4749964056611247, -2.0894708537707625, -1.7005347329727432, -1.308822889854316, -0.9149747017154696, -0.519633032936136, -0.12344318565155299, 0.2729481535514713, 0.6688939691980255, 1.0637479730254542, 1.4568656588966775, 1.847605354804602, 2.2353292702505354, 2.619404537286879, 2.9992042435249906, 3.3741084554219305, 3.7435052301759457, 4.106791614578916, 4.463374629195403, 4.812672236261903, 5.154114289726348, 5.4871434658772325, 5.811216173043258, 6.125803438878686, 6.430391773786061, 6.724484009066998, 7.007600108432976, 7.279277951551459, 7.539074088348494, 7.786564462836465, 8.021345105285594, 8.243032791609359, 8.45126566888752, 8.645703846005777, 8.826029948447921, 8.991949636334972, 9.143192084865694, 9.279510426374259, 9.400682153283567, 9.50650948129644, 9.596819672231902, 9.671465315979534, 9.730324571111787, 9.773301363761387, 9.80032554443929, 9.811353002537196, 9.806365738327738, 9.78537189234478, 9.748405732095925, 9.695527596128873, 9.62682379554296], [-7.529753694016433, -7.782092452066213, -8.021728777581165, -8.248271520716122, -8.461350903814408, -8.660619124982762, -8.845750925795983, -9.016444122204687, -9.172420097779561, -9.31342425848706, -9.439226448254185, -9.54962132464404, -9.644428694028983, -9.723493805714291, -9.786687604532187, -9.833906941494007, -9.865074742156626, -9.880140132428323, -9.87907852160876, -9.861891642527489, -9.82860754871553, -9.779280568614592, -9.71399121689868, -9.632846063052872, -9.535977557423728, -9.423543815025308, -9.295728357453672, -9.152739813331099, -8.99481157776901, -8.822201431405444, -8.635191119638895, -8.43408589274532, -8.219214007628985, -7.9909261920204, -7.749595071995925, -7.495614563753487, -7.2293992306372035, -6.95138360646037, -6.662021486231396, -6.361785185440361, -6.051164769115253, -5.730667251906259, -5.400815770503797, -5.062148729741125, -4.715218923775282, -4.360592633780867, -3.9988487036294345, -3.630577595063239, -3.256380423905551, -2.876867978880687, -2.4926597246453315, -2.1043827906584003, -1.712670947539973, -1.3181635725900382, -0.9215046061556986, -0.5233415005502694, -0.12432416323988504, 0.27489610397729447, 0.6736676680678578, 1.0713396284005374, 1.4672628791881306, 1.8607911689998025, 2.251282155614263, 2.6380984544921477, 3.0206086791560787, 3.3981884717803723, 3.7702215223080824, 4.1361005744319606, 4.495228416797337, 4.847018857808935, 5.190897682450572, 5.5263035895558685, 5.852689108000187, 6.169521490318257, 6.476283582288884, 6.772474667067408, 7.0576112824879615, 7.331228010201578, 7.59287823536198, 7.842134875619104, 8.078591078230428, 8.301860884152203, 8.511579858026689, 8.707405683036995, 8.889018719658647, 9.05612252739582, 9.208444348650572, 9.345735553935405, 9.4677720477023, 9.574354634125921, 9.665309342243857, 9.740487709923244, 9.799767026190212, 9.843050531526645, 9.8702675758073, 9.881373733619487, 9.876350876777092, 9.855207203910567, 9.817977227084604, 9.764721715465312], [-7.3047474226108395, -7.570819983156761, -7.824534963699396, -8.06547823430605, -8.293256511851597, -8.507498001960514, -8.707853005873632, -8.893994491248957, -9.06561862596492, -9.222445274054753, -9.364218452962437, -9.490706751373935, -9.601703706941628, -9.697028143285468, -9.77652446572073, -9.840062915229682, -9.887539780262603, -9.918877566022463, -9.934025120956921, -9.932957720251173, -9.915677106185402, -9.882211485290913, -9.832615482309606, -9.766970051031958, -9.685382342159041, -9.58798552840424, -9.47493858712016, -9.346426040805582, -9.202657655915921, -9.043868100468938, -8.870316561004461, -8.682286319523433, -8.480084291096787, -8.264040522898895, -8.034507655483312, -7.791860347180144, -7.536494662554613, -7.268827425924933, -6.989295540994835, -6.69835527771119, -6.396481527510822, -6.084167028172106, -5.761921559536636, -5.430271111413736, -5.08975702502601, -4.740935109397335, -4.384374734125569, -4.020657900020831, -3.6503782891262775, -3.274140295672039, -2.8925580395440433, -2.506254363877958, -2.1158598184145374, -1.722011630275691, -1.3253526638413513, -0.9265303714248336, -0.5261957364594432, -0.1250022109214175, 0.2763953512765057, 0.6773417631798109, 1.077182574230538, 1.4752651385036668, 1.8709396799977958, 2.2635603532414192, 2.6524862974834678, 3.037082682747534, 3.416721746042235, 3.7907838160363907, 4.158658324526508, 4.519744803045495, 4.873453862986008, 5.219208157638459, 5.55644332457353, 5.88460890683087, 6.2031692514103876, 6.511604383599606, 6.809410855709849, 7.096102568836011, 7.371211566298485, 7.634288797472189, 7.8849048507559445, 8.122650654485716, 8.34713814464776, 8.558000898301678, 8.754894731679562, 8.937498261984894, 9.105513431974249, 9.258665996465531, 9.396705969978616, 9.519408034777761, 9.626571908649717, 9.718022671817263, 9.793611052454533, 9.8532136703381, 9.896733238236123, 9.924098720706844, 9.935265450047197, 9.930215199202316, 9.908956211516914, 9.871523187279951], [-7.053397173114329, -7.33244717898358, -7.599528692293801, -7.854205765396598, -8.096062697969828, -8.324704715550446, -8.53975861391082, -8.74087336822671, -8.92772070604257, -9.099995643099021, -9.257416981147795, -9.399727766941623, -9.526695711649879, -9.638113570015364, -9.733799478633374, -9.813597252800859, -9.877376641451148, -9.92503353975814, -9.956490159062898, -9.971695153845312, -9.970623705533566, -9.953277563014598, -9.91968503977948, -9.869900967708281, -9.804006607569967, -9.722109516383323, -9.624343371855476, -9.51086775418451, -9.381867885582409, -9.237554327943421, -9.078162639151374, -8.903952988586926, -8.715209732462354, -8.512240949677008, -8.295377938951113, -8.06497467805864, -7.821407246042, -7.565073209351589, -7.296390972912244, -7.015799097175753, -6.723755582274262, -6.420737120442936, -6.107238317932206, -5.783770887679584, -5.4508628140588495, -5.109057491069946, -4.758912835376298, -4.401000375637299, -4.035904319622413, -3.6642206006296316, -3.2865559047647697, -2.9035266806693105, -2.5157581333132493, -2.1238832034952493, -1.7285415347159154, -1.3303784291104863, -0.9300437941450959, -0.5281910817959818, -0.12547622194305236, 0.27744344828109896, 0.679910257439186, 1.08126727328294, 1.4808593750402035, 1.8780343227452838, 2.272143821867, 2.662544581496805, 3.0485993643696236, 3.4296780270035523, 3.8051585482606596, 4.174428044649926, 4.536883770715178, 4.89193410287502, 5.238999505108966, 5.577513474913461, 5.906923467983731, 6.226691800112219, 6.536296524831354, 6.8352322853682095, 7.123011139520373, 7.399163356106625, 7.663238181692449, 7.914804576338803, 8.153451917173278, 8.37879066863519, 8.590453018300632, 8.788093477249578, 8.971389443995161, 9.140041731054605, 9.293775053302294, 9.432338477307887, 9.555505830926032, 9.663076072469103, 9.754873618860394, 9.830748632232122, 9.890577264500447, 9.934261859518298, 9.96173111247602, 9.972940186289673, 9.967870784787017, 9.9465311825717], [-6.777343356123163, -7.068529754230108, -7.348178442797287, -7.615832961223414, -7.87105642656423, -8.11343224664099, -8.342564800029049, -8.558080081816637, -8.759626314079757, -8.946874520076772, -9.119519061225443, -9.277278135985892, -9.419894239835235, -9.547134585583052, -9.658791483341624, -9.754682679530752, -9.834651654363793, -9.898567877329317, -9.946327020251443, -9.977851127580989, -9.993088743639543, -9.99201499660874, -9.97463163912764, -9.940967045431968, -9.891076165039841, -9.825040433059648, -9.742967637266403, -9.644991742163597, -9.531272670317726, -9.401996041322352, -9.257372868817864, -9.097639216061413, -8.92305581060927, -8.733907618740506, -8.53050338031668, -8.313175104836755, -8.082277529509804, -7.838187540230089, -7.581303556399634, -7.312044880602414, -7.030851014191675, -6.738180939907503, -6.434512372695648, -6.120340979950417, -5.796179572454423, -5.462557267335797, -5.120018624409141, -4.769122757309914, -4.410442420873146, -4.044563076246103, -3.6720819352609095, -3.293606985626907, -2.9097559985339805, -2.521155520286605, -2.1284398496146317, -1.7322500023300489, -1.3332326650196644, -0.932039139481639, -0.5293242796287094, -0.12574542259346977, 0.2780386842196234, 0.6813689583842237, 1.0835870582488472, 1.4840364575245526, 1.8820635169094035, 2.277018551000665, 2.6682568887531524, 3.0551399257528193, 3.4370361665880447, 3.8133222556170834, 4.183383994449327, 4.546617344479447, 4.902429412838132, 5.2502394201500175, 5.589479648519164, 5.9195963681948065, 6.240050741404693, 6.55031970188082, 6.849896808641875, 7.13829307263882, 7.415037754914334, 7.6796791349732345, 7.9317852481097795, 8.170944590488276, 8.396766790826147, 8.60888324758309, 8.80694773061623, 8.99063694631929, 9.159651065323205, 9.313714211896961, 9.452574914249709, 9.576006514999229, 9.683807541136709, 9.77580203288396, 9.851839830906307, 9.91179682141232, 9.955575138740343, 9.983103325101126, 9.994336447215842, 9.989256169659058], [-6.478387607432188, -6.7807901378216195, -7.072124625806126, -7.351915536469946, -7.6197061770677195, -7.875059442467808, -8.117558528623455, -8.346807612907185, -8.562432500197987, -8.764081233666705, -8.951424669262632, -9.124157012963646, -9.281996319912885, -9.424684954627322, -9.551990011526984, -9.663703695098445, -9.759643659072044, -9.839653304059212, -9.903602033164088, -9.951385465152166, -9.982925604828088, -9.998170970344415, -9.99709667723362, -9.979704479026108, -9.946022764388003, -9.896106510783333, -9.830037194736276, -9.747922658839922, -9.649896935728652, -9.53612002930144, -9.406777653553178, -9.26208092944034, -9.102266040275756, -8.92759384621499, -8.738349458463595, -8.53484177390025, -8.31740297087537, -8.0863879670082, -7.842173839867435, -7.58515921148091, -7.315763597679061, -7.0344267233341595, -6.741607804613056, -6.43778479941498, -6.123453627217863, -5.7991273596066275, -5.46533538280471, -5.122622533575761, -4.771548209905985, -4.412685457918714, -4.046620036511639, -3.6739494612433745, -3.295282029030116, -2.911235825244198, -2.5224377148353585, -2.129522319121401, -1.7331309799183765, -1.333910712701197, -0.9325131505032738, -0.5295934802791225, -0.12580937346602927, 0.2781800875096595, 0.681715485029289, 1.0841381426258407, 1.4847912001180514, 1.8830206857799385, 2.2781765837955597, 2.669613895256684, 3.056693690971577, 3.438784154366355, 3.815261612776716, 4.185511555446608, 4.548929636572286, 4.904922661754449, 5.2529095562483334, 5.592322313431367, 5.92260692194013, 6.24322426996341, 6.553651025215217, 6.853380489151433, 7.141923424035839, 7.418808851505432, 7.683584821331667, 7.935819149122709, 8.175100121762652, 8.401037169436176, 8.613261503141747, 8.811426716652802, 8.995209351944276, 9.164309427161646, 9.318450926270621, 9.457382249588303, 9.580876624460387, 9.688732475414085, 9.780773753182622, 9.856850222064159, 9.916837705146204, 9.960638286995149, 9.988180473480163, 9.999419308470511], [-6.158481029850922, -6.47110623167652, -6.773168877115146, -7.064175920061453, -7.343652360076554, -7.611142017714336, -7.86620827912694, -8.108434808734001, -8.337426228792392, -8.552808764757248, -8.754230855380861, -8.941363726553574, -9.11390192795007, -9.271563831605073, -9.414092091604632, -9.541254064142713, -9.6528421872574, -9.7486743196269, -9.828594037872337, -9.89247089188206, -9.940200617740732, -9.971705307915592, -9.986933538422164, -9.985860452761784, -9.968487802493982, -9.934843944377473, -9.884983794084437, -9.818988736563607, -9.736966493198526, -9.639050945977763, -9.525401918964103, -9.39620491741943, -9.251670825011072, -9.09203555959392, -8.917559688130083, -8.728528001374734, -8.525249049022285, -8.308054636071699, -8.077299281233003, -7.833359638259024, -7.576633881146867, -7.307541054212659, -7.0265203881004465, -6.7340305828416405, -6.430549059135275, -6.116571179071194, -5.792609437568153, -5.459192625846596, -5.116864968301558, -4.766185234184565, -4.407725825544481, -4.042071842915989, -3.6698201302808484, -3.291578300860669, -2.9079637453314984, -2.5196026240789973, -2.1271288451391075, -1.7311830294925534, -1.33241146540199, -0.931465053498685, -0.528998244340598, -0.12566797017599762, 0.27786742734363185, 0.680949271751272, 1.0829196268984889, 1.483122370881222, 1.8809042670042035, 2.2756160300359527, 2.6666133860139807, 3.053258123870215, 3.4349191371602443, 3.8109734541958753, 4.18080725489967, 4.543816872721606, 4.8994097799824825, 5.247005555035795, 5.586036829669296, 5.915950215199968, 6.236207205750651, 6.54628505723402, 6.845677640609178, 7.1338962680180416, 7.410470490453168, 7.674948865654905, 7.926899694984537, 8.165911728070608, 8.39159483407825, 8.603580638505886, 8.80152312446979, 8.985099197495156, 9.15400921289169, 9.307977464852986, 9.446752636481298, 9.57010821000316, 9.677842836506297, 9.769780664594284, 9.845771627422517, 9.905691687646987, 9.949443039886024, 9.976954270364534], [-5.819711459539203, -6.14149915477979, -6.4532622995338835, -6.754492013916358, -7.044696611385579, -7.323402401305848, -7.590154462135779, -7.844517383980532, -8.08607597929588, -8.314435960584067, -8.529224583975267, -8.730091257644121, -8.916708114068303, -9.088770545195002, -9.24599769964182, -9.388132941120464, -9.51494426733505, -9.62622468867117, -9.721792566057697, -9.801491907449751, -9.865192622448982, -9.912790734645487, -9.944208551334807, -9.959394790332961, -9.958324663682525, -9.94099991811315, -9.907448832190415, -9.857726170157747, -9.791913092546686, -9.710117023701446, -9.612471476433978, -9.499135834095753, -9.370295090421997, -9.226159547573006, -9.0669644728654, -8.892969714753665, -8.704459278688773, -8.501740863546182, -8.285145359379918, -8.05502630732252, -7.811759322512431, -7.555741480990771, -7.287390671568248, -7.007144913720136, -6.715461642622662, -6.4128169624978515, -6.099704869485562, -5.7766364453111585, -5.444139023064997, -5.102755326455395, -4.75304258394005, -4.395571619181838, -4.030925919313687, -3.6597006825332805, -3.2825018465822273, -2.899945099695465, -2.512654875635243, -2.1212633344501457, -1.7264093306227166, -1.328737370290037, -0.9288965592393098, -0.5275395433955556, -0.12532144353093244, 0.27710121406561933, 0.6790715692128362, 1.0799335000066579, 1.4790326937846454, 1.8757177151372408, 2.2693410692226283, 2.6592602586494882, 3.044838832202652, 3.4254474236997394, 3.8004647792832023, 4.169278771470877, 4.531287398309871, 4.8858997660029555, 5.232537053403449, 5.570633456804398, 5.8996371134798204, 6.21901100247058, 6.528233821144614, 6.826800836100633, 7.114224707026511, 7.390036282167518, 7.6537853641060405, 7.905041444602805, 8.143394407300137, 8.368455197140321, 8.579856455406295, 8.777253119348243, 8.960322985417207, 9.128767235186498, 9.282310923102369, 9.420703425267845, 9.54371884852721, 9.651156399183359, 9.742840710746194, 9.818622130177113, 9.878376962162339, 9.922007671016372], [-5.464289839967131, -5.794120052565458, -6.114492729222165, -6.424884937019628, -6.724790033804316, -7.013718495160752, -7.291198713444802, -7.556777767572044, -7.810022162304717, -8.050518535830598, -8.277874334478755, -8.49171845347094, -8.691701842662708, -8.87749807628555, -9.048803885760051, -9.205339654710397, -9.34684987537224, -9.473103565648923, -9.583894646135345, -9.67904227649402, -9.758391150634342, -9.821811750213179, -9.869200556043058, -9.900480217062857, -9.91559967659517, -9.914534255684327, -9.897285693378961, -9.863882143893424, -9.814378130652665, -9.748854457295586, -9.66741807578214, -9.570201911819439, -9.457364647891872, -9.32909046424933, -9.185588738276325, -9.027093702732751, -8.853864063424087, -8.66618257692511, -8.464355589046406, -8.248712534797003, -8.019605400659346, -7.777408150054266, -7.522516112933815, -7.255345340498248, -6.976331926090463, -6.685931293376347, -6.384617452972949, -6.072882228737815, -5.751234454982406, -5.420199145919959, -5.08031663870349, -4.732141711452667, -4.376242677709256, -4.013200458799128, -3.6436076356150657, -3.2680674813680763, -2.887192976885972, -2.501605810066613, -2.1119353611188525, -1.7188176752476292, -1.3228944244600365, -0.9248118601869078, -0.5252197584296444, -0.12477035915393875, 0.27588269833827195, 0.6760854423210052, 1.0751846360989927, 1.4725288442626765, 1.8674694960030702, 2.2593619437507764, 2.6475665154113, 3.031449558479013, 3.41038447432561, 3.783752740974742, 4.150944922693403, 4.511361664752227, 4.864414671730838, 5.209527667771559, 5.546137337213972, 5.873694244075011, 6.191663728873785, 6.4995267813371935, 6.796780887561948, 7.082940850250109, 7.357539580679384, 7.620128861115418, 7.870280076421642, 8.107584913672518, 8.331656028628183, 8.542127677982677, 8.738656316353712, 8.920921157039585, 9.088624695627885, 9.241493195601358, 9.379277135148282, 9.501751614448043, 9.608716722767106, 9.699997864766189, 9.775446045486017, 9.834938113546498], [-5.094535792428325, -5.431236057695358, -5.7590711096500895, -6.077505834805291, -6.386020463492594, -6.684111418264019, -6.971292135863537, -7.247093861426945, -7.511066413613738, -7.762778919422106, -8.001820517487591, -8.227801028717469, -8.440351593166193, -8.639125272112366, -8.823797614354454, -8.99406718580094, -9.149656061490468, -9.290310279238852, -9.415800254172533, -9.52592115347177, -9.62049323071199, -9.699362119257447, -9.762399084228417, -9.809501232630545, -9.840591681303419, -9.855619682414222, -9.854560706291604, -9.8374164814646, -9.80421499184121, -9.755010431031263, -9.689883113888119, -9.608939345413578, -9.512311247240033, -9.400156541973015, -9.272658295746199, -9.130024619409074, -8.972488328835015, -8.800306564904197, -8.613760373781721, -8.413154248175934, -8.198815630325834, -7.971094377528751, -7.73036219108073, -7.477012009561746, -7.211457367456031, -6.934131720154463, -6.645487736440755, -6.345996559616314, -6.036147038469796, -5.716444929346618, -5.387412070620902, -5.049585530917234, -4.7035167324727, -4.349770551069962, -3.9889243940106383, -3.6215672576339273, -3.2482987659188147, -2.8697281917392283, -2.486473462369585, -2.0991601508641007, -1.7084204549561761, -1.3148921651445042, -0.9192176236503754, -0.5220426759452951, -0.12401561656044435, 0.27421386910144263, 0.6719957652244241, 1.0686807865770194, 1.463621438317413, 1.8561730728762076, 2.245694942191738, 2.631551243580297, 3.0131121575342537, 3.3897548757540106, 3.760864617735807, 4.125835634256087, 4.484072196114366, 4.834989566520827, 5.178014955541357, 5.512588455042168, 5.838163952607934, 6.15421002294162, 6.460210795291115, 6.755666795486666, 7.0400957612148165, 7.313033429198006, 7.574034292994981, 7.822672330185128, 8.058541697749684, 8.281257394514872, 8.490455889575596, 8.685795715674017, 8.866958026564388, 9.03364711745444, 9.185590907673795, 9.322541384781555, 9.444275009388175, 9.550593080030872, 9.641322057506928, 9.716313848135572], [-4.712862477278955, -5.055215493859626, -5.389317062111287, -5.7146218399351945, -6.030598843920522, -6.336732316049686, -6.6325225655518185, -6.917486784530215, -7.191159836032477, -7.453095013277011, -7.702864768796614, -7.94006141230898, -8.164297776175031, -8.375207847358897, -8.572447364857943, -8.755694381627759, -8.924649790084873, -9.0790378103294, -9.218606440290763, -9.343127867061703, -9.452398838749177, -9.5462409962352, -9.624501164306064, -9.687051601674815, -9.73379020948878, -9.764640697981912, -9.779552710999855, -9.778501908194496, -9.761490004753853, -9.72854476860244, -9.679719975076662, -9.615095319149255, -9.534776285346013, -9.438893975567154, -9.32760489509436, -9.20109069713276, -9.059557886304887, -8.903237481580522, -8.732384639192645, -8.54727823615502, -8.34822041506115, -8.135536090907681, -7.909572420747217, -7.670698237036229, -7.419303445602946, -7.155798389217956, -6.88061317780632, -6.594196986394426, -6.297017321937597, -5.989559260225115, -5.672324654108289, -5.345831314343891, -5.010612164390109, -4.667214370534524, -4.316198448774078, -3.9581373499047565, -3.5936155243143837, -3.223227968005076, -2.847579251402424, -2.467282532536712, -2.082958556206905, -1.6952346407609717, -1.304743654146511, -0.9121229809028873, -0.518013481781171, -0.12305844768990926, 0.2720974503257121, 0.6668092133574612, 1.0604325674428488, 1.452325015190555, 1.841846884506085, 2.2283623727057322, 2.6112405843146957, 2.9898565608552987, 3.363592300944455, 3.731837769035361, 4.093991891156774, 4.449463536024691, 4.7976724799248895, 5.13805035379144, 5.470041570935322, 5.793104233908782, 6.106711019025267, 6.410350037091097, 6.703525668943987, 6.985759374434567, 7.256590473530418, 7.515576898267719, 7.762295914323027, 7.996344811027486, 8.217341558697102, 8.424925432206214, 8.618757599786276, 8.798521676088875, 8.963924238610302, 9.11469530663464, 9.250588781913692, 9.371382850364384, 9.476880344127999, 9.566909063400256], [-4.32176084470402, -4.6685124191646885, -5.0076437469619135, -5.338601276099459, -5.660844796381716, -5.973848321179586, -6.2771009459797416, -6.570107682315879, -6.852390265720754, -7.123487936380277, -7.382958191215348, -7.630377506163882, -7.865342027484052, -8.087468230950405, -8.296393547866778, -8.491776956874286, -8.673299540588358, -8.840665006156215, -8.993600168885166, -9.131855398152247, -9.255205024867404, -9.363447709825127, -9.456406772343254, -9.533930478652566, -9.595892289566427, -9.64219106702618, -9.672751239185214, -9.687522923762184, -9.686482009462104, -9.669630195332335, -9.636994987989306, -9.588629656720432, -9.524613146534556, -9.445049949302831, -9.350069933200338, -9.2398281307269, -9.11450448565305, -8.974303559304207, -8.819454196662521, -8.650209152831344, -8.466844680472077, -8.26966007888677, -8.058977205482535, -7.83513995041516, -7.598513675269434, -7.3494846166924415, -7.088459255953236, -6.815863655457925, -6.532142763303167, -6.23775968700323, -5.9331949375760935, -5.61894564522239, -5.295524747877499, -4.963460153961185, -4.623293880691491, -4.275581169369324, -3.9208895790778264, -3.55979806027591, -3.192896009797997, -2.820782308802563, -2.4440643452397475, -2.063357022433587, -1.6792817553972434, -1.2924654565193592, -0.9035395122773107, -0.5131387526475057, -0.1219004148950189, 0.2695368965661049, 0.6605342525441326, 1.0504534419709923, 1.4386580136315161, 1.8245143150200753, 2.2073925266290386, 2.5866676899807297, 2.9617207277248925, 3.3319394541366445, 3.6967195743654173, 4.05546567080396, 4.407592174967293, 4.7525243232953, 5.089699095318851, 5.418566132658048, 5.738588637352652, 6.049244248058254, 6.350025892678135, 6.640442616038994, 6.920020381259584, 7.188302843504276, 7.44485209485846, 7.689249379110073, 7.921095775270441, 8.140012848718825, 8.345643268907777, 8.53765139262107, 8.715723811832186, 8.879569865269072, 9.028922112850195, 9.163536772217467, 9.283194116653513, 9.387698833733767], [-3.923783377796659, -4.2736506099848, -4.6165421143869825, -4.951898201404525, -5.279171481232346, -5.597827757343854, -5.90734689844094, -6.207223687445782, -6.496968646148682, -6.776108834165944, -7.044188620903629, -7.300770429267152, -7.54543544990279, -7.77778432480531, -7.997437799175802, -8.2040373404658, -8.397245723597196, -8.576747581402746, -8.742249919388655, -8.893482593979066, -9.03019875346181, -9.152175240915675, -9.259212958461482, -9.351137192242497, -9.427797897603615, -9.489069944003933, -9.534853319262862, -9.565073292806455, -9.579680537647462, -9.578651210900027, -9.561986992697555, -9.529715083450327, -9.4818881594472, -9.418584286874008, -9.339906794388884, -9.245984104462575, -9.136969523759028, -9.013040992898347, -8.874400796010683, -8.72127523055503, -8.55391423794195, -8.37259099556309, -8.177601470893459, -7.9692639383942465, -7.747918460004749, -7.513926330071371, -7.267669485619723, -7.009549882932406, -6.73998884145008, -6.459426356066725, -6.168320378941659, -5.867146072000502, -5.5563950313453, -5.2365744848396805, -4.908206464178877, -4.571826952795981, -4.227985010995235, -3.8772418797404726, -3.520170064561436, -3.1573524010733927, -2.7893811036353164, -2.4168567986994347, -2.0403875444300823, -1.6605878381919705, -1.2780776135280396, -0.8934812282639732, -0.5074264453911546, -0.12054340839148736, 0.2665363873234059, 0.6531811251796404, 1.0387596987328043, 1.4226427418005172, 1.804203655754474, 2.182819632295077, 2.55787267003924, 2.92875058326208, 3.2948480011458594, 3.655567355905248, 4.010319858175942, 4.358526458074573, 4.699618790361258, 5.033040102161913, 5.358246161736185, 5.674706146807525, 5.981903511005524, 6.279336827006155, 6.5665206049937375, 6.842986085108707, 7.1082820025876305, 7.361975324346634, 7.603651955805877, 7.832917416801415, 8.04939748548112, 8.252738809133684, 8.44260948095369, 8.61869958180127, 8.780721686072082, 8.928411330851901, 9.061527447590018, 9.179852755586852], [-3.521527434049445, -3.8732070898046658, -4.218564647479617, -4.557036392224632, -4.888069848657411, -5.211124682648917, -5.525673583291566, -5.831203123610045, -6.127214598609877, -6.413224839295845, -6.688767001331554, -6.953391327052815, -7.206665879591068, -7.448177247908577, -7.677531221594537, -7.894353434320699, -8.098289974906217, -8.289007964994255, -8.46619610239749, -8.629565169225593, -8.778848503965296, -8.913802436742492, -9.034206687055885, -9.13986472333304, -9.230604083721843, -9.306276657593862, -9.366758927300049, -9.411952169784206, -9.44178261772511, -9.456201579944294, -9.455185520882914, -9.438736099018016, -9.40688016415545, -9.359669713603903, -9.297181807301527, -9.219518442033753, -9.126806384947573, -9.019196966634023, -8.89686583411666, -8.76001266414917, -8.608860837290111, -8.443657073286776, -8.264671028363335, -8.07219485507057, -7.866542725415675, -7.64805031805046, -7.417074270355039, -7.173991596311337, -6.919199071116569, -6.65311258354121, -6.3761664570885745, -6.088812741064, -5.791520472710869, -5.484774911617796, -5.169076747646682, -4.84494128367448, -4.5128975944826255, -4.1734876631671325, -3.8272654964788484, -3.47479622053796, -3.116655158398759, -2.7534268909702684, -2.3857043028256553, -2.0140876144578215, -1.639183402560882, -1.2616036099365882, -0.8819645466418871, -0.5008858840079591, -0.11898964317273375, 0.26310082022204395, 0.6447618335120733, 1.0253704250091609, 1.4043053408557578, 1.7809480590755147, 2.154683799164671, 2.524902525576423, 2.8909999434602023, 3.252378485030679, 3.608448284956379, 3.9586281431758574, 4.3023464735699015, 4.639042236941182, 4.968165856778588, 5.289180116311385, 5.601561035389053, 5.904798725755422, 6.198398223321122, 6.481880296075865, 6.754782226321779, 7.016658565951062, 7.267081863535044, 7.505643362037972, 7.731953666016553, 7.945643377216271, 8.146363697527029, 8.33378699831388, 8.507607355193585, 8.667541047384098, 8.813327020811904, 8.944727314221284], [-3.1176182939777526, -3.469795310550549, -3.8163087037324077, -4.156592872044503, -4.49009238175005, -4.816262873469028, -5.1345719507166345, -5.4445000489151125, -5.745541283460507, -6.0372042754601125, -6.319012953792752, -6.590507332182718, -6.851244260018996, -7.1007981456942435, -7.338761651282818, -7.564746357423969, -7.778383397324955, -7.9793240588491585, -8.167240353706514, -8.341825552817106, -8.502794686974134, -8.649885011989022, -8.782856437559374, -8.90149191915986, -9.00559781231625, -9.09500418868441, -9.16956511341828, -9.229158883374135, -9.2736882257623, -9.303080456922046, -9.317287600960563, -9.316286468062284, -9.30007869234081, -9.268690729171594, -9.222173812009778, -9.160603868763648, -9.084081397860217, -8.9927313042052, -8.886702695305205, -8.766168637884846, -8.63132587539609, -8.482394506880917, -8.319617627711494, -8.143260932794256, -7.953612282885549, -7.7509812347267815, -7.535698535765964, -7.308115584290425, -7.068603855851883, -6.8175542969201395, -6.555376686755062, -6.282498968538483, -5.999366550857782, -5.7064415806812905, -5.404202189012247, -5.093141710452592, -4.773767877950427, -4.446601994045628, -4.112178079966235, -3.771042003964617, -3.4237505903161685, -3.070870710434831, -2.7129783575890944, -2.350657706728651, -1.984500160956451, -1.6151033862024355, -1.243070335674726, -0.86900826568057, -0.4935277444234627, -0.11724165539442355, 0.2592358030159376, 0.6352901200515686, 1.0103074756350312, 1.3836757422841628, 1.754785484265959, 2.123030952356865, 2.4878110725856377, 2.8485304273450263, 3.2046002272707264, 3.555439272301293, 3.900474900350344, 4.23914392204247, 4.570893539987235, 4.895182251090659, 5.21148073043146, 5.5192726952592865, 5.818055747704654, 6.1073421948251365, 6.386659844649167, 6.655552776918222, 6.913582087269196, 7.160326603642403, 7.395383573745724, 7.618369322452831, 7.828919878062466, 8.02669156639647, 8.211361571766925, 8.38262846389671, 8.540212689933407, 8.683857030753483], [-2.714692027506438, -3.066048096174974, -3.412399563660715, -3.7531810927903857, -4.0878364380028405, -4.4158193532888985, -4.736594483809274, -5.049638239735224, -5.354439650885575, -5.650501200765179, -5.937339638643382, -6.214486768346986, -6.481490212480194, -6.737914150824147, -6.983340031710745, -7.217367255209636, -7.439613827013236, -7.649716981952428, -7.847333776125253, -8.03214164667201, -8.203838938283159, -8.362145395580534, -8.506802620568212, -8.63757449440639, -8.754247562819739, -8.856631384511228, -8.944558842012686, -9.017886414464682, -9.07649441188053, -9.120287170511977, -9.149193208997751, -9.163165345040039, -9.16218077241846, -9.146241098215864, -9.115372340195137, -9.06962488433134, -9.009073402568468, -8.933816730935096, -8.84397770821785, -8.739702975456023, -8.621162736584635, -8.488550480616592, -8.342082665817472, -8.181998366388395, -8.00855888223371, -7.822047312450467, -7.622768093235838, -7.411046500966746, -7.187228121262809, -6.951678284899225, -6.704781471490377, -6.446940681917412, -6.17857678052427, -5.900127808155773, -5.612048267159161, -5.314808379516086, -5.008893319315993, -4.69480242082374, -4.3730483634340365, -4.044156334843112, -3.708663173803555, -3.3671164938614884, -3.0200737895065033, -2.668101526193215, -2.3117742157198906, -1.9516734784732652, -1.5883870940702949, -1.2225080419464178, -0.8546335334563011, -0.4853640370670349, -0.11530229823479088, 0.2549476444351011, 0.6247814451388956, 0.9935954373265705, 1.3607876190452324, 1.7257586355655128, 2.087912757686926, 2.4466588541254684, 2.801411356396162, 3.15159121461564, 3.4966268426646914, 3.8359550511679057, 4.169021966767677, 4.495283936191947, 4.814208413640108, 5.12527483003856, 5.427975442747062, 5.721816164329001, 6.0063173690327005, 6.281014675667494, 6.545459705596585, 6.799220814609564, 7.041883797479876, 7.273052564057262, 7.492349785791637, 7.6994175116330315, 7.893917752302363, 8.075533031979301, 8.24396690650675, 8.398944447266095], [-2.3153782899406306, -2.6646004598120117, -3.009473297189396, -3.349433878414806, -3.6839272979311435, -4.012407574034777, -4.33433854006206, -4.64919471955509, -4.956462183978211, -5.255639391585286, -5.546238006068446, -5.827783693652049, -6.09981689733082, -6.36189358698841, -6.613585984171939, -6.854483260339537, -7.084192207441161, -7.302337879738092, -7.50856420581353, -7.702534569775276, -7.883932360701893, -8.052461489435435, -8.207846871877233, -8.3498348779979, -8.478193745828573, -8.592713959757756, -8.693208592516172, -8.779513610291499, -8.851488140474935, -8.909014701602523, -8.95199939511598, -8.980372058629966, -8.994086380455645, -8.993119975193615, -8.977474420272785, -8.947175253375608, -8.902271930753825, -8.842837746502784, -8.768969712926099, -8.680788402185918, -8.578437749497278, -8.462084818187769, -8.331919527006018, -8.188154340124072, -8.031023920339688, -7.860784746044608, -7.677714692584, -7.482112578690433, -7.274297678732683, -7.05460920157555, -6.823405736901304, -6.5810646698965005, -6.327981565259586, -6.064569521534704, -5.79125849682565, -5.508494606990571, -5.216739397462909, -4.916469089887238, -4.6081738047996055, -4.292356761621228, -3.96953345727136, -3.6402308247399873, -3.3049863729938935, -2.9643473096198756, -2.618869647637303, -2.2691172979378322, -1.915661148833738, -1.5590781342172515, -1.199950291851874, -0.8388638133328858, -0.47640808726763373, -0.11317473723751403, 0.25024334388816305, 0.6132529617100988, 0.9752615885490927, 1.3356783306079163, 1.6939148924661949, 2.049386537334112, 2.4015130414974455, 2.749719641396078, 3.0934379717901224, 3.4321069934822486, 3.7651739090820207, 4.092095065317378, 4.412336840420545, 4.7253765151398435, 5.030703125955705, 5.327818299108269, 5.616237064075103, 5.895488645171354, 6.165117229980114, 6.424682713358831, 6.6737614158072605, 6.911946775024419, 7.138850009525786, 7.354100753237459, 7.557347660031529, 7.748258977215858, 7.926523087042183, 8.091849015348682], [-1.9222831598008552, -2.268072406645102, -2.610159559623593, -2.947986242051849, -3.281001031459829, -3.6086603596592015, -3.9304293999903677, -4.245782940300972, -4.554206240231, -4.855195871405157, -5.148260539161086, -5.432921884472161, -5.708715264755889, -5.975190512293477, -6.23191266902257, -6.478462696503804, -6.714438159902359, -6.939453884867996, -7.153142586241458, -7.355155467560943, -7.545162790390174, -7.722854412538705, -7.887940294295971, -8.040150971852805, -8.179237997137598, -8.304974343349269, -8.41715477552501, -8.51559618553803, -8.600137890978422, -8.67064189742934, -8.726993123710386, -8.769099589720513, -8.796892566573877, -8.810326688783544, -8.809380028309974, -8.794054130353361, -8.764374010831474, -8.720388115547054, -8.662168241111459, -8.589809417753608, -8.503429754205529, -8.403170244917664, -8.289194539918661, -8.161688677695249, -8.020860781528233, -7.866940719780283, -7.700179730689978, -7.520850012284573, -7.329244278080845, -7.125675279299234, -6.910475294371177, -6.683995586572823, -6.446605830670511, -6.198693509513791, -5.9406632815609655, -5.672936320369501, -5.395949627129397, -5.110155317361721, -4.816019882946518, -4.5140234306847224, -4.204658898636926, -3.8884312515180994, -3.565856656461695, -3.237461640498371, -2.9037822311246897, -2.56536308136449, -2.222756580751147, -1.8765219536818143, -1.5272243466153137, -1.1754339056037155, -0.8217248456632027, -0.46667451350336187, -0.1108624451446758, 0.24513058003748744, 0.6007234872983638, 0.9553358549914488, 1.3083888619700592, 1.6593062323765198, 2.007515176276719, 2.352447324604726, 2.6935396568914105, 3.0302354202626907, 3.361985038207456, 3.688247007631725, 4.008488782734893, 4.32218764426528, 4.628831552736147, 4.927919984209558, 5.218964747283751, 5.501490779950627, 5.775036925022521, 6.0391566828626955, 6.293418940190794, 6.53740867377369, 6.770727627853175, 6.99299496420462, 7.2038478837656825, 7.402942218820289, 7.5899529947713535, 7.764574960585243], [-1.537972130529482, -1.8790518347226226, -2.2170644294838135, -2.5514581888849346, -2.8816872938940215, -3.20721272329624, -3.5275031335190485, -3.8420357259253937, -4.150297100159303, -4.451784092151035, -4.746004595413871, -5.032478364292026, -5.310737797848524, -5.580328703113585, -5.840811036447634, -6.091759621808867, -6.332764844752985, -6.563433321032259, -6.783388538702653, -6.9922714726908435, -7.189741170818099, -7.375475310324369, -7.549170723984249, -7.710543894956071, -7.859331419556332, -7.995290437204169, -8.11819902683403, -8.227856569129537, -8.324084073987258, -8.406724472675869, -8.475642874213872, -8.53072678554733, -8.57188629516828, -8.59905421987409, -8.6121862144282, -8.611260843943288, -8.59627961886866, -8.567266992524806, -8.524270321189107, -8.467359786797877, -8.396628282390887, -8.312191260485355, -8.214186544626912, -8.102774104425142, -7.9781357944408775, -7.84047505735146, -7.690016591878523, -7.527005986020249, -7.351709316186822, -7.164412712893375, -6.965421893719339, -6.755061664296509, -6.533675388140386, -6.301624426190115, -6.059287546971892, -5.807060308348589, -5.545354411864714, -5.274597030740652, -4.995230112613008, -4.7077096581592075, -4.412504976783842, -4.110097920581597, -3.800982097827264, -3.4856620672764866, -3.1646525145924946, -2.8384774122429883, -2.5076691642385374, -2.1727677371084746, -1.834319778532726, -1.4928777250682828, -1.1489989004266459, -0.8032446057741955, -0.45617920354024877, -0.1083691962283635, 0.23961769826552137, 0.5872134733188337, 0.9338507607193267, 1.278963756760048, 1.6219891457805793, 1.9623670196471295, 2.2995417916706797, 2.6329631034713343, 2.96208672330874, 3.2863754344121627, 3.605299911860324, 3.9183395865796222, 4.22498349505049, 4.524731113334989, 4.817093174064189, 5.101592465051911, 5.377764608231165, 5.645158817641965, 5.9033386352331965, 6.151882643277551, 6.390385152236703, 6.618456862953887, 6.835725502093067, 7.0418364297874465, 7.236453218505502, 7.4192582021896705], [-1.1649533670714245, -1.5000776453173157, -1.8327534002124444, -2.1624376169624595, -2.4885921637542463, -2.81068467012933, -3.1281893959532456, -3.4405880895624357, -3.747370833687989, -4.04803687777546, -4.342095455342179, -4.629066585037909, -4.908481854101314, -5.179885182933455, -5.442833569540273, -5.696897812628978, -5.941663212178054, -6.176730246337327, -6.401715223553283, -6.616250908855111, -6.819987123279297, -7.012591315454272, -7.193749104412177, -7.363164792741738, -7.520561849244613, -7.665683360307439, -7.798292449252767, -7.918172662984443, -8.025128325296281, -8.11898485626738, -8.19958905722271, -8.26680936079386, -8.32053604567177, -8.360681415700908, -8.387179943022607, -8.399988375033836, -8.399085804986893, -8.384473706114735, -8.356175929226294, -8.31423866377563, -8.258730362468535, -8.189741629529625, -8.10738507281227, -8.011795119992833, -7.903127799149127, -7.781560484081355, -7.6472916047911665, -7.5005403235914265, -7.341546177375367, -7.17056868662905, -6.987886931825317, -6.793799097890648, -6.588621987488547, -6.372690503913799, -6.1463571044417655, -5.909991225024911, -5.663978677275638, -5.4087210187197385, -5.144634897348323, -4.872151371538137, -4.591715206450329, -4.30378414805608, -4.008828175974177, -3.707328736339981, -3.39977795595806, -3.0866778390211005, -2.7685394477063383, -2.4458820679869704, -2.119232362020113, -1.78912350849494, -1.4560943323440547, -1.1206884252387583, -0.783453258303688, -0.4449392884991932, -0.1056990601300476, 0.23371369705298584, 0.5727449716864879, 0.9108413750874371, 1.2474510445298503, 1.582024544030662, 1.9140157611745439, 2.242882798513742, 2.5680888580880135, 2.889103117620811, 3.2054015969616123, 3.5164680133600643, 3.8217946241759257, 4.120883055649336, 4.413245116378536, 4.698403594177347, 4.975893035011607, 5.245260502743252, 5.506066318441844, 5.757884778056824, 6.000304847279111, 6.232930832457751, 6.455383026476599, 6.667298328536718, 6.86833083683289, 7.058152413156831], [-0.805661336603094, -1.1336231730578783, -1.4597346367543826, -1.7834634275571484, -2.104281134482873, -2.4216640982068505, -2.735094265813466, -3.044060036395522, -3.3480570961221816, -3.6465892414124985, -3.93916918887086, -4.22531937066233, -4.504572714029617, -4.776473403679333, -5.040577625793059, -5.2964542924488445, -5.543685745270689, -5.781868437157434, -6.0106135909783465, -6.229547834160174, -6.438313808129923, -6.636570751618535, -6.823995056873371, -7.000280797871638, -7.165140229672536, -7.318304258093102, -7.459522878941046, -7.588565586087709, -7.705221747715015, -7.809300950122281, -7.90063330853173, -7.979069744385368, -8.044482228680604, -8.096763990947435, -8.135829693526091, -8.161615570860652, -8.174079533581295, -8.17320123720528, -8.158982115344521, -8.131445377365557, -8.090635970505723, -8.036620506507376, -7.969487152889918, -7.889345489037101, -7.796326327334485, -7.690581499649046, -7.572283609499417, -7.44162575032132, -7.29882119028801, -7.144103024200227, -6.977723793013862, -6.799955071626325, -6.611087025594525, -6.4114279375079395, -6.201303703789927, -5.981057302748597, -5.751048234745514, -5.5116519353960625, -5.263259162759249, -5.006275359517225, -4.741119991185646, -4.468225861435011, -4.1880384056406665, -3.901014963814466, -3.6076240341049757, -3.3083445080845975, -3.0036648890719073, -2.694082494765086, -2.3801026454879177, -2.0622378393734384, -1.741006915831445, -1.4169342086654186, -1.0905486902211003, -0.7623831079637604, -0.43297311489349033, -0.10285639521784784, 0.2274282132909149, 0.5573415988215857, 0.8863452554970079, 1.213902162358047, 1.5394776599238114, 1.8625403228972703, 2.1825628275918736, 2.499022812663214, 2.8114037317408815, 3.119195696568708, 3.4218963092772094, 3.7190114824297735, 4.010056245503968, 4.29455553649169, 4.57204497732595, 4.842071631868684, 5.104194745222282, 5.357986463158108, 5.603032530487754, 5.838932967237021, 6.065302721519003, 6.281772298040578, 6.487988361216419, 6.683614311906098], [-0.4624409202420492, -0.7820800439743274, -1.1004426062860566, -1.4170089552977152, -1.7312623710248154, -2.0426899088015436, -2.350783236542097, -2.6550394644730466, -2.954961965982406, -3.2500611882455885, -3.539855451305057, -3.823871734299372, -4.101646447558302, -4.372726189303759, -4.6366684857213665, -4.893042513194727, -5.141429801523479, -5.381424916977304, -5.6126361240709866, -5.834686024980285, -6.047212175554991, -6.249867676923603, -6.442321741724001, -6.624260234035906, -6.7953861821337345, -6.955420263223006, -7.104101259368973, -7.241186483873376, -7.366452177403296, -7.479693873225552, -7.5807267309504685, -7.669385838240274, -7.7455264799896275, -7.809024374538947, -7.859775876534931, -7.897698146107183, -7.922729284084783, -7.934828433032099, -7.933975843938929, -7.920172908456104, -7.893442156623953, -7.853827220097305, -7.801392760927107, -7.736224366014854, -7.658428407412135, -7.568131868693314, -7.465482137684776, -7.350646765889012, -7.223813194996261, -7.085188450930122, -6.934998805926505, -6.773489409197502, -6.60092388678307, -6.417583911243615, -6.223768741895905, -6.019794736342737, -5.805994834093674, -5.582718013119747, -5.350328720229123, -5.1092062761935475, -4.859744256596571, -4.6023498494140975, -4.337443190375981, -4.065456677193395, -3.7868342637714627, -3.50203073555908, -3.2115109672188202, -2.9157491638285804, -2.615228086853483, -2.310438266151551, -2.0018771992992463, -1.6900485395439144, -1.375461273708487, -1.0586288913904176, -0.7400685468108996, -0.42030021468241063, -0.09984584147252429, 0.22077150655075561, 0.541028497101439, 0.8604023860921997, 1.1783718708909725, 1.4944179412246594, 1.8080247263411446, 2.118680337046747, 2.425877701244746, 2.7291153916111157, 3.0278984440564827, 3.3217391656384216, 3.6101579306052556, 3.8926839632721317, 4.168856106451385, 4.438223574183032, 4.700346687536629, 4.954797592283543, 5.201160957268196, 5.439034652338308, 5.66803040472765, 5.887774432819851, 6.097908056258826, 6.298088281409963], [-0.13753210943043648, -0.44774256680575775, -0.7572221899250113, -1.0654658262141643, -1.371970340556489, -1.6762354365421102, -1.9777644730840396, -2.2760652750677397, -2.5706509367110373, -2.8610406163231135, -3.1467603211652815, -3.4273436811324625, -3.7023327099924996, -3.9712785529408006, -4.233742219250052, -4.489295298819152, -4.737520661451787, -4.978013137723186, -5.210380180323776, -5.434242504800156, -5.649234708647631, -5.8550058677437145, -6.05122010914907, -6.237557159340973, -6.4137128669843655, -6.579399699387274, -6.734347211830171, -6.878302489003279, -7.011030557831225, -7.1323147710112185, -7.24195716063875, -7.339778761343544, -7.425619902408366, -7.499340468393852, -7.560820127843955, -7.6099585296986945, -7.646675467093621, -7.67091100827863, -7.682625594442417, -7.681800104282924, -7.66843588521836, -7.642554751187852, -7.6041989470453375, -7.553431079604785, -7.4903340154493225, -7.4150107456710685, -7.327584217762425, -7.22819713493328, -7.117011723181621, -6.9942094664978125, -6.8599908106347565, -6.714574835927398, -6.5581988996957135, -6.391118248814792, -6.21360560308445, -6.025950710078413, -5.828459872199653, -5.621455446713886, -5.405275319577283, -5.180272353917233, -4.946813814066444, -4.70528076609042, -4.456067455786906, -4.199580665172482, -3.936239048506778, -3.666472448938009, -3.390721196885308, -3.109435391303063, -2.823074165000397, -2.5321049352150453, -2.237002640664812, -1.9382489663220266, -1.6363315571762884, -1.331743222268913, -1.0249811302982863, -0.7165459981090678, -0.40694127338993313, -0.09667231291380718, 0.21375444233799934, 0.52383229382137, 0.8330551124954035, 1.1409181649588116, 1.4469189373083062, 1.7505579553741355, 2.051339599994017, 2.3487729159946484, 2.6423724135603472, 2.9316588606808294, 3.2161600653845293, 3.49541164648078, 3.7689577915526735, 4.036352000963474, 4.297157816662065, 4.5509495345978905, 4.797312899582543, 5.0358457814637445, 5.2661588315080925, 5.4878761179211395, 5.700635739467474, 5.904090416189236], [0.16694461313023945, -0.13279275943906343, -0.43231337911339507, -0.7311283490455907, -1.02874992419544, -1.3246923074585553, -1.618472442615709, -1.9096108028083023, -2.1976321732529756, -2.482066426917802, -2.7624492918939083, -3.038323109209983, -3.30923757985272, -3.574750499773887, -3.834428481684245, -4.08784766245619, -4.334594394980467, -4.574265923347608, -4.806471040252079, -5.030830725546034, -5.246978764900416, -5.45456234756358, -5.653242642241705, -5.84269535016108, -6.022611234409429, -6.192696624692337, -6.352673896680797, -6.5022819251675426, -6.641276510292419, -6.769430776141118, -6.886535541066673, -6.992399659129207, -7.086850332096644, -7.169733391497118, -7.24091355026269, -7.300274623553596, -7.347719718402642, -7.383171391870137, -7.406571777451252, -7.417882679529452, -7.417085635721845, -7.404181947014669, -7.379192675639741, -7.342158610695329, -7.293140201567551, -7.232217459260996, -7.1594898257996125, -7.075076011911031, -6.979113803259269, -6.871759835542081, -6.753189338820114, -6.623595851495088, -6.483190904403964, -6.332203675544687, -6.170880615997094, -5.99948504764959, -5.818296733388197, -5.627611420449563, -5.427740357683262, -5.219009787511373, -5.001760413414606, -4.776346843814106, -4.543137013256781, -4.3025115818488056, -4.054863313917705, -3.8005964369170977, -3.5401259816206245, -3.273877104681994, -3.002284394666886, -2.7257911626895304, -2.4448487188117283, -2.1599156353855244, -1.8714569985418574, -1.5799436490470287, -1.2858514137660912, -0.9896603289875667, -0.6918538568773234, -0.3929180963404675, -0.09334098957941306, 0.20638847435680274, 0.5057810577319604, 0.8043480726879779, 1.1016021789127333, 1.3970581791082846, 1.6902338109611748, 1.980650534322033, 2.2678343123096147, 2.5513163850643577, 2.8306340348883894, 3.105331341523183, 3.3749599263319423, 3.639079684172117, 3.8972595017633487, 4.149077961378328, 4.394124028707974, 4.631997723778087, 4.862310773822435, 5.0846872470465705, 5.298764166247912, 5.50419210129052], [0.44900211258330547, 0.1607138917980735, -0.1278366565527227, -0.41617854167890034, -0.7038411133838274, -0.990354830289986, -1.2752520262546643, -1.5580676737247514, -1.838340142784649, -2.1156119546583687, -2.389430528435851, -2.659348919804676, -2.924926550581351, -3.1857299278514115, -3.4413333515444693, -3.6913196092892804, -3.9352806574146646, -4.17281828698465, -4.403544773780765, -4.627083511170459, -4.843069624828724, -5.051150568309462, -5.250986698494495, -5.44225182998095, -5.624633767502068, -5.797834815512449, -5.961572264105866, -6.11557885047261, -6.2596031951430495, -6.393410212305386, -6.516781493527871, -6.62951566425911, -6.731428712524571, -6.822354289282785, -6.902143979950971, -6.970667546656866, -7.0278131408213795, -7.0734874857250425, -7.107616028760276, -7.130143063120963, -7.141031818730683, -7.1402645222612, -7.127842426143229, -7.103785806522147, -7.068133930161958, -7.020944990351543, -6.962296011917843, -6.892282725500962, -6.811019411296456, -6.7186387125198355, -6.615291418897763, -6.501146220539357, -6.376389432589323, -6.241224691112378, -6.095872620705345, -5.940570474379485, -5.775571746300841, -5.60114575802074, -5.4175772188718065, -5.225165761247049, -5.024225451520584, -4.815084277408245, -4.598083612604942, -4.373577659572491, -4.141932871387578, -3.90352735359342, -3.6587502470315494, -3.4080010926610806, -3.1516891794022013, -2.8902328760684597, -2.624058948478216, -2.353601862860007, -2.0793030766887703, -1.801610318110523, -1.5209768551316567, -1.2378607557656789, -0.9527241403451248, -0.6660324272189633, -0.37825357306679974, -0.08985730906985445, 0.19868562581455151, 0.48690425322341513, 0.7743281241492936, 1.0604880868374549, 1.3449170525656058, 1.6271507580561853, 1.9067285232767759, 2.1831940033917463, 2.4560959336376604, 2.724988865906716, 2.989433895835807, 3.2489993792145246, 3.5032616365426223, 3.7518056445869763, 3.9942257138092625, 4.2301261505585295, 4.459121902947871, 4.680839189360918, 4.894916108562259, 5.101003230415955], [0.706799570740654, 0.4308618470495045, 0.15422084290034643, -0.1226718904417603, -0.39936439082315145, -0.6754050229232922, -0.9503432154430476, -1.2237301965561778, -1.4951197264236002, -1.7640688255748138, -2.0301384979675205, -2.2928944475452386, -2.551907787123289, -2.8067557384461006, -3.057022322273096, -3.302299037366801, -3.542185527274885, -3.776290233817736, -4.004231036214957, -4.225635874807497, -4.440143358357405, -4.647403353933884, -4.847077558422798, -5.0388400507268285, -5.222377823754854, -5.397391295332314, -5.563594797198501, -5.720717041292717, -5.868501562568113, -6.006707137610448, -6.1351081783784975, -6.253495100423374, -6.361674664985765, -6.459470294412686, -6.546722360378894, -6.6232884444425295, -6.689043570509657, -6.743880408828309, -6.78770945117901, -6.820459156975865, -6.842076070039704, -6.852524905852707, -6.851788609152065, -6.839868381768675, -6.816783680665441, -6.782572186178359, -6.737289740512247, -6.681010256591508, -6.613825597414685, -6.535845426109763, -6.44719702693495, -6.348025097517108, -6.238491512666971, -6.118775060156645, -5.9890711488907025, -5.849591489947175, -5.700563751009091, -5.5422311847506345, -5.374852231784449, -5.198700098818226, -5.014062312709129, -4.821240251143922, -4.62054865071092, -4.412315093166631, -4.196879470735739, -3.974593431317105, -3.7458198045014246, -3.5109320093374046, -3.270313444813128, -3.024356864047548, -2.7734637332135326, -2.518043576238938, -2.25851330635526, -1.995296545585008, -1.7288229332785723, -1.4595274248291767, -1.1878495817106938, -0.914232853997079, -0.6391238565346047, -0.3629716399483529, -0.08622695767283872, 0.19065846979675483, 0.46723269223188124, 0.7430442673728876, 1.017642997802163, 1.2905806657853516, 1.561411764881203, 1.8296942271258954, 2.094990144604818, 2.3568664842341005, 2.6148957945850744, 2.868656903598053, 3.1177356060464825, 3.3617253396293796, 3.6002278485885313, 3.8328538337671727, 4.0592235880491545, 4.2789676161413555, 4.491727237687691, 4.697155172730298], [0.9386544999862934, 0.6758880144971604, 0.41201830105769055, 0.14747606480966757, -0.11730689137008543, -0.38189837168615526, -0.6458664928823756, -0.9087803891894874, -1.1702109156119875, -1.4297313484062446, -1.6869180816064757, -1.9413513184616877, -2.192615756654963, -2.440301266186667, -2.684003558815039, -2.923324847961494, -3.157874498003516, -3.3872696618952607, -3.611135906075182, -3.829107821640587, -4.040829620791602, -4.245955717570926, -4.444151291951483, -4.635092836351253, -4.818468683683162, -4.993979516078197, -5.161338853451292, -5.320273521112587, -5.470524095660753, -5.61184532843056, -5.744006545803566, -5.866792025728441, -5.980001349836396, -6.0834497305769535, -6.176968312840092, -6.260404449572433, -6.3336219509375855, -6.396501306613976, -6.448939880867291, -6.490852080079135, -6.522169492458442, -6.542840999707613, -6.552832860461089, -6.552128765360187, -6.540729863674281, -6.518654761424891, -6.485939491015735, -6.442637452418325, -6.3888193260090915, -6.32457295720031, -6.250003213053181, -6.165231811107039, -6.070397120704159, -5.965653937134398, -5.851173228968351, -5.727141858991444, -5.593762279194451, -5.451252200318326, -5.2998442364927, -5.139785525548121, -4.971337325621772, -4.794774588715099, -4.610385511899465, -4.418471066902307, -4.2193445088417185, -4.013330864911246, -3.800766403849585, -3.581998087061089, -3.3573830022830013, -3.1272877807238704, -2.8920879986244574, -2.6521675642180247, -2.4079180910905746, -2.1597382589639373, -1.9080331629450593, -1.6532136523036591, -1.3956956598576067, -1.1358995230605733, -0.8742492979001701, -0.6111720667264655, -0.3470972411406401, -0.08245586108174097, 0.18232010874449456, 0.44679848394623045, 0.7105475658847538, 0.9731368463207888, 1.2341377101177637, 1.4931241348550657, 1.749673386209249, 2.0033667079682527, 2.2537900055522355, 2.500534521925442, 2.7431975047957535, 2.9813828640129123, 3.214701818092396, 3.4427735288095804, 3.6652257228284277, 3.8816952993500036, 4.091828922788979, 4.29528359951074], [1.1430537238523528, 0.8941932569917901, 0.643873230303333, 0.3925022322573235, 0.14049056678726002, -0.11175041643472561, -0.3638089934293096, -0.6152737379523505, -0.8657341930513152, -1.1147815410395538, -1.362009270794863, -1.607013841293118, -1.8493953402939178, -2.0887581371031163, -2.3247115283467124, -2.5568703757020605, -2.784855734545458, -3.0082954724899538, -3.2268248768038132, -3.440087249718112, -3.6477344906518265, -3.849427664404016, -4.044837554385681, -4.233645199988296, -4.415542417211848, -4.590232301702622, -4.757429713379599, -4.91686174185847, -5.068268151913543, -5.2114018082504305, -5.346029078896205, -5.471930216548553, -5.588899717261464, -5.69674665588202, -5.795294997690723, -5.884383885736701, -5.963867903398784, -6.033617311743879, -6.09351826129522, -6.143472977864802, -6.183399922146723, -6.213233922810883, -6.232926282879827, -6.242444859215093, -6.241774114983304, -6.230915145016402, -6.209885674024573, -6.178720027664857, -6.137469076512579, -6.086200153027129, -6.024996941647586, -5.953959342197586, -5.87320330682239, -5.782860650724329, -5.6830788370055405, -5.574020735969198, -5.4558643592721, -5.328802569362595, -5.19304276467806, -5.048806541115812, -4.8963293303300235, -4.735860015444995, -4.5676605248121085, -4.392005404473484, -4.209181370030263, -4.019486838646921, -3.8232314419555635, -3.6207355206552285, -3.412329601631162, -3.1983538584475557, -2.9791575560943317, -2.755098480894347, -2.5265423565014995, -2.293862246943024, -2.057437947680375, -1.8176553656825885, -1.5749058895240946, -1.3295857505350557, -1.082095376047084, -0.8328387357899598, -0.5822226825062056, -0.3306562878598531, -0.07855017472330772, 0.1736841530677351, 0.4256349823973671, 0.6768910628941316, 0.9270422782003549, 1.175680315390502, 1.4223993314458094, 1.666796615697423, 1.9084732471566666, 2.147034745659594, 2.382091715762915, 2.613260482340301, 2.8401637168416674, 3.062431053193113, 3.2796996923322923, 3.4916149943924113, 3.6978310575682523, 3.8980112827193882], [1.3186632526039097, 1.0843528286509976, 0.8482724541693942, 0.610807474751955, 0.37234549603290246, 0.13327575101293299, -0.10601153527196105, -0.34512578270091954, -0.5836766935982456, -0.8212748898024138, -1.057532548234187, -1.2920640339264238, -1.5244865294823016, -1.7544206599345427, -1.9814911119856635, -2.2053272466185057, -2.425563704077128, -2.6418410002305164, -2.8538061133457515, -3.0611130603128007, -3.2634234613804534, -3.4604070924815367, -3.651742424245901, -3.837117146821382, -4.01622867964604, -4.18878466533966, -4.35450344690828, -4.513114527482891, -4.664359011841846, -4.807990028996309, -4.943773135148991, -5.071486696368418, -5.190922250354099, -5.301884846702127, -5.404193365115787, -5.497680811041763, -5.5821945882494095, -5.657596747908142, -5.723764213756414, -5.780588982994702, -5.827978302574648, -5.865854820596546, -5.894156712568105, -5.912837782318359, -5.921867537402039, -5.921231238871303, -5.910929925333594, -5.890980411256365, -5.861415259521415, -5.822282728273658, -5.773646692151072, -5.715586538024401, -5.648197035416794, -5.571588181814874, -5.485885023123769, -5.391227449559125, -5.287769967309287, -5.175681446340346, -5.0551448447557075, -4.92635691016008, -4.789527858515381, -4.644881031012685, -4.492652529520359, -4.333090831203379, -4.166456382942906, -3.9930211762180985, -3.8130683031441084, -3.626891494390905, -3.434794639737141, -3.237091292041696, -3.0341041554424932, -2.826164558618033, -2.6136119139713747, -2.396793163619348, -2.1760622130913014, -1.951779353661677, -1.724310674259411, -1.4940274639139868, -1.2613056057135728, -1.0265249632644449, -0.790068760653122, -0.552322956923351, -0.31367561608887584, -0.07451627371038061, 0.16476469892956214, 0.4037767320156327, 0.6421296947129647, 0.8794345319638412, 1.115303899528397, 1.3493527962328562, 1.5811991923932234, 1.8104646533887605, 2.036774957367342, 2.25976070607445, 2.4790579278088245, 2.694308671520498, 2.90516159108156, 3.1112725187759396, 3.3123050270721124, 3.5079309777617915], [1.464336989380714, 1.24512567331129, 1.0238819829209476, 0.8009670464111607, 0.5767447198989619, 0.35158099350756, 0.12584339397367827, -0.10009961525326361, -0.32587923544090014, -0.5511269345509842, -0.7754750487811211, -0.9985573826892868, -1.2200098069216292, -1.4394708525678523, -1.6565823011740508, -1.8709897694499364, -2.082343287716083, -2.2902978711469655, -2.494514082877425, -2.6946585880533673, -2.890404697922396, -3.0814329030762297, -3.267431394974532, -3.4480965748989068, -3.6231335495062647, -3.7922566121727503, -3.955189709342477, -4.111666891119933, -4.261432745370532, -4.4042428146207335, -4.539863995077298, -4.668074917114301, -4.788666306606889, -4.901441326521998, -5.006215898208426, -5.102819001861875, -5.1910929556744785, -5.27089367321321, -5.342090898607045, -5.40456841915897, -5.458224255035845, -5.502970825726449, -5.538735092996032, -5.565458680104026, -5.58309796709032, -5.591624161974573, -5.591023347752333, -5.58129650511127, -5.562459510830438, -5.534543111865169, -5.49759287515991, -5.451669113270933, -5.396846785920282, -5.333215377641692, -5.260878751718175, -5.179954980649672, -5.090576153427517, -4.992888159930277, -4.887050452792896, -4.773235787137834, -4.65162993859303, -4.522431400056954, -4.385851057705718, -4.24211184677107, -4.091448387651157, -3.9341066029479936, -3.770343316056752, -3.6004258319620823, -3.424631500925686, -3.243247265777372, -3.0565691935484716, -2.8649019922121726, -2.6685585133195353, -2.4678592413430334, -2.263131770561175, -2.054710270337999, -1.8429349396703358, -1.6281514518930735, -1.4107103904488882, -1.1909666766433742, -0.96927899031961, -0.7460091843978334, -0.5215216942357896, -0.2961829427738749, -0.07036074243600332, 0.15557630523752053, 0.38125941124516327, 0.6063202010853459, 0.8303913160410104, 1.053107012806199, 1.2741037604758145, 1.4930208339241977, 1.7095009026039025, 1.9231906138036203, 2.1337411694132555, 2.34080889525465, 2.544055802048721, 2.7431501371033282, 2.9377669258213834, 3.1275885021453242], [1.579124210076126, 1.3754625241487828, 1.1695557196977537, 0.961739891071455, 0.7523542486505188, 0.5417405651667675, 0.3302426178397395, 0.11820562724136785, -0.0940243061952577, -0.30610076710332557, -0.5176775906237725, -0.7284094274378559, -0.9379523074685601, -1.1459642013307123, -1.3521055786133749, -1.5560399620832426, -1.7574344769044665, -1.9559603939783918, -2.151293666516376, -2.3431154589698124, -2.5311126674540656, -2.7149784308167924, -2.89441263151647, -3.0691223854935954, -3.2388225202348915, -3.403236040250271, -3.5620945792026975, -3.7151388379530195, -3.8621190078047243, -4.002795178257772, -4.13693772860598, -4.264327702738722, -4.384757166535192, -4.498029547267876, -4.603959954461212, -4.702375481681741, -4.793115488767113, -4.876031864033317, -4.950989266032108, -5.017865344464033, -5.076550939886472, -5.126950261890713, -5.168981045457226, -5.202574685233926, -5.227676347518244, -5.244245059760236, -5.252253777440609, -5.2516894282145365, -5.242552933249173, -5.22485920572007, -5.198637126468931, -5.163929496862441, -5.120792968929117, -5.06929795288822, -5.00952850222166, -4.941582176476489, -4.865569882021921, -4.781615691020821, -4.689856638911124, -4.590442500727761, -4.483535546630217, -4.369310277034705, -4.247953137783366, -4.119662215815338, -3.984646915836515, -3.843127618515683, -3.695335320765002, -3.5415112586919766, -3.3819065138383295, -3.216781603348549, -3.0464060547370164, -2.8710579659478492, -2.6910235514255136, -2.5065966749371738, -2.3180783699093364, -2.1257763480616854, -1.930004497140211, -1.7310823685693975, -1.5293346558598149, -1.3250906646224627, -1.1186837750549263, -0.9104508977767645, -0.7007319239022785, -0.48986917024835996, -0.2782068205829189, -0.06609036382597733, 0.14613396987959426, 0.3581197743072302, 0.5695210325732054, 0.7799926819277001, 0.9891911769884243, 1.1967750504975374, 1.4024054706864901, 1.605746794339053, 1.8064671146498124, 2.0042388029838163, 2.198739043653148, 2.3896503608374773, 2.576661136788541, 2.7594661204727093], [1.6622757681365896, 1.4745127516071967, 1.2843429403931657, 1.0920767419089459, 0.8980279854273232, 0.7025134098270618, 0.5058521465912946, 0.30836519890057357, 0.11037491767080176, -0.08779552460869855, -0.28582266137813317, -0.48338325999019993, -0.680154849311216, -0.8758162460792844, -1.0700480791603089, -1.2625333108461056, -1.4529577543437942, -1.6410105866117015, -1.8263848557047635, -2.0087779818012432, -2.1878922510930208, -2.3634353017332415, -2.535120601048144, -2.702667913234162, -2.865803756776834, -3.024261850844964, -3.1777835499313283, -3.326118266030544, -3.4690238776649487, -3.606267125090862, -3.7376239910401767, -3.862880066375764, -3.981830900063878, -4.094282332892301, -4.200050814389519, -4.298963702427623, -4.390859545019904, -4.475588343853187, -4.553011799124748, -4.623003535284144, -4.68544930731154, -4.74024718719578, -4.787307730307857, -4.8265541213981935, -4.8579222999794425, -4.8813610648901395, -4.896832157868538, -4.9043103260002034, -4.903783362937454, -4.89525212882334, -4.878730548887669, -4.854245590717346, -4.821837220238141, -4.781558336479732, -4.733474685230499, -4.67766475172302, -4.614219632525409, -4.54324288684764, -4.46485036750553, -4.379170031818308, -4.286341732748448, -4.186516990624636, -4.079858745820554, -3.966541092793092, -3.846748995914164, -3.7206779875599523, -3.5885338489503615, -3.450532274259668, -3.3068985185465807, -3.157867030078444, -3.00368106764966, -2.8445923035190264, -2.6808604126140585, -2.5127526486728495, -2.3405434080153147, -2.164513781655825, -1.9849510964883716, -1.802148446293082, -1.6164042133296883, -1.4280215812987849, -1.2373080404658512, -1.0445748857558512, -0.8501367086375939, -0.6543108836272893, -0.45741705024940593, -0.2597765913004597, -0.061712108267318655, 0.13645310524373588, 0.33439559120763995, 0.531792255149588, 0.7283208935206229, 0.9236607196190416, 1.1174928871991034, 1.309501010912396, 1.4993716827324035, 1.6867949835192535, 1.8714649888897088, 2.0530802685666476, 2.231344378392972, 2.405966344206862], [1.7132489837867246, 1.541629914940959, 1.3674944984536301, 1.1911269693673607, 1.0128152061227351, 0.8328502606645536, 0.6515258833681008, 0.46913804356086786, 0.28598444642235865, 0.10236404705050894, -0.08142343751207193, -0.2650780174955685, -0.4482999200655735, -0.6307900786316258, -0.8122506210029603, -0.992385355594676, -1.170900254890725, -1.3475039353745615, -1.5219081331440876, -1.6938281744345494, -1.862983440281404, -2.029097824564668, -2.191900184687095, -2.351124784150607, -2.5065117263085037, -2.6578073785855265, -2.8047647864732665, -2.947144076625233, -3.0847128483935755, -3.2172465531683825, -3.344528860900397, -3.4663520132088506, -3.5825171624980707, -3.6928346965293395, -3.7971245479182008, -3.8952164880520446, -3.9869504049482067, -4.072176564599065, -4.150755855377533, -4.22256001510401, -4.287471840404175, -4.345385378015887, -4.396206097732921, -4.4398510467032555, -4.476248984830068, -4.505340501054404, -4.527078110329732, -4.541426331130104, -4.548361743365378, -4.547873026609003, -4.539960978575946, -4.524638513820612, -4.501930642656875, -4.4718744303346325, -4.4345189365395195, -4.389925135314527, -4.338165815534245, -4.279325462094167, -4.213500118009015, -4.140797227645125, -4.061335461342851, -3.9752445217151804, -3.8826649319387823, -3.7837478063830194, -3.6786546039513515, -3.5675568645377043, -3.4506359290280093, -3.328082643303935, -3.2000970467319383, -3.0668880456461336, -2.92867307235791, -2.7856777302489206, -2.638135425526701, -2.4862869862440267, -2.3303802692038595, -2.1706697553915015, -2.00741613459435, -1.8408858798872223, -1.6713508126778498, -1.4990876590224702, -1.3243775979357264, -1.1475058024321751, -0.9687609740485206, -0.7884348716063778, -0.6068218349847232, -0.4242183046793908, -0.24092233793380835, -0.05723312223074917, 0.12654951306072437, 0.3101255860860901, 0.4931954521550539, 0.6754602928409259, 0.8566226037312985, 1.0363866800338974, 1.2144590992450133, 1.3905492000925932, 1.5643695569722964, 1.7356364491020804, 1.9040703236295293, 2.0693962519360283], [1.7317111857709988, 1.576375981141764, 1.4184677141037643, 1.258244132701122, 1.0959667641831987, 0.9319004881229667, 0.7663131040635109, 0.5994748943983588, 0.43165818319916305, 0.26313689171080323, 0.09418609123948318, -0.07491844583636276, -0.24390069619951227, -0.41248483613699705, -0.580395691757321, -0.7473591881470174, -0.9131027967333809, -1.0773559801231336, -1.2398506336910216, -1.4003215231974124, -1.5585067177207321, -1.7141480171979775, -1.8669913738754826, -2.016787306982038, -2.163291309947459, -2.3062642495019756, -2.4454727560049405, -2.5806896043657996, -2.7116940849355182, -2.8382723637630756, -2.960217831629028, -3.077331441286375, -3.189422032358295, -3.2963066433624295, -3.397810810352398, -3.4937688516890866, -3.584024138476892, -3.668429350223491, -3.7468467153058413, -3.8191482358498927, -3.8852158966569657, -3.944941857835757, -3.9982286308255603, -4.044989237523367, -4.085147352255137, -4.11863742635947, -4.1454047951803625, -4.165405767294371, -4.178607695826576, -4.1849890317389065, -4.184539359003875, -4.177259411606279, -4.163161072345156, -4.142267353437903, -4.114612358958257, -4.080241229169433, -4.039210066843268, -3.99158584568568, -3.9374463010178538, -3.876879802891656, -3.8099852118463384, -3.7368717175419985, -3.6576586605331887, -3.5724753374735667, -3.481460790069582, -3.3847635781276333, -3.282541537065198, -3.174961520281688, -3.062199126809587, -2.944438414690403, -2.8218716005432696, -2.694698745816612, -2.5631274302349523, -2.427372412973922, -2.287655282116503, -2.1442040929626787, -1.9972529957828948, -1.847041853622898, -1.6938158507838281, -1.5378250926166106, -1.379324197283887, -1.2185718801558596, -1.055830531518394, -0.8913657882827, -0.725446100395648, -0.5583422926584776, -0.39032712266912295, -0.2216748356096785, -0.05266071660576266, 0.1164393586116077, 0.285349374008141, 0.4537936237774316, 0.621497162365733, 0.7881862532557848, 0.9535888157772119, 1.1174348692140974, 1.2794569734849097, 1.4393906656754232, 1.59697489171212, 1.751952432471465], [1.7175418824971964, 1.5785241837143014, 1.4369299160880384, 1.292990198901927, 1.1469399798333337, 0.9990176514567288, 0.8494646621239745, 0.6985251218567727, 0.5464454038945741, 0.39347374254829237, 0.23985982801628758, 0.08585439882392976, -0.06829116744795893, -0.22232526447779133, -0.3759964678912615, -0.5290539456523904, -0.6812478674877385, -0.8323298126754777, -0.9820531755336761, -1.1301735679459828, -1.276449218267666, -1.4206413659608406, -1.5625146513148103, -1.7018374996153471, -1.8383824991358462, -1.971926772333406, -2.1022523396438952, -2.2291464752822487, -2.3524020544671917, -2.471817891503642, -2.5871990681709707, -2.698357251881068, -2.8051110030869264, -2.9072860714399544, -3.0047156802126223, -3.097240798522177, -3.184710400911089, -3.266981713860533, -3.3439204488345267, -3.4154010214743176, -3.481306756585273, -3.54153007858164, -3.595972687078351, -3.6445457173432376, -3.6871698853477763, -3.7237756171795824, -3.7543031626054306, -3.7787026925994383, -3.7969343806772065, -3.8089684679031746, -3.8147853114650725, -3.8143754167361834, -3.8077394527730846, -3.79488825122357, -3.775842788646538, -3.7506341522727027, -3.719303489262007, -3.6819019395405848, -3.6384905523268776, -3.589140186483167, -3.533931394855177, -3.47295429278853, -3.406308411036677, -3.3341025333003858, -3.2564545186639875, -3.1734911092181806, -3.0853477231834283, -2.992168233871619, -2.8941047348467763, -2.7913172916681566, -2.683973680620919, -2.572249114860881, -2.4563259584203117, -2.336393428541612, -2.212647286824754, -2.0852895196925747, -1.9545280086955383, -1.8205761911940752, -1.683652711972373, -1.5439810663522864, -1.4017892353898653, -1.257309313749999, -1.1107771308665546, -0.9624318660063853, -0.8125156578655215, -0.6612732093347997, -0.5089513880800478, -0.35579882358876525, -0.20206550134107815, -0.04800235476732162, 0.10613914434165306, 0.2601073963029492, 0.41365108421881924, 0.5665195841922905, 0.7184633744116464, 0.8692344424359852, 1.0185866900171083, 1.1662763347969278, 1.3120623082247334, 1.4557066490448078], [1.6708335484119456, 1.5480605026435894, 1.422760612814236, 1.2951384014744645, 1.165402181817608, 1.0337637176575347, 0.9004378777741096, 0.7656422851905349, 0.6295969619550386, 0.4925239700067081, 0.3546470487116995, 0.21619124966142245, 0.07738256932884724, -0.06155241981749704, -0.20038693913970462, -0.3388943739931829, -0.4768486436216772, -0.6140245701808462, -0.7501982462880337, -0.8851474004983242, -1.0186517601103176, -1.1504934107094096, -1.2804571518617411, -1.408330848378207, -1.5339057765751702, -1.6569769649667117, -1.777343528832279, -1.894808998113675, -2.009181638106143, -2.1202747624200873, -2.22790703770264, -2.3319027796216307, -2.4320922396288647, -2.528311882034643, -2.620404650941249, -2.7082202265996975, -2.7916152707713096, -2.8704536606936193, -2.9446067112687193, -3.013953385111356, -3.078380490113954, -3.137782864206061, -3.192063547006654, -3.241133938089116, -3.2849139416005624, -3.3233320969994478, -3.356325695698066, -3.3838408834195457, -3.405832748102271, -3.4222653932082374, -3.4331119963156986, -3.438354852900447, -3.437985405234279, -3.43200425635347, -3.420421169074463, -3.403255050058366, -3.3805339189502837, -3.352294862643851, -3.318583974745612, -3.2794562803380685, -3.2349756461641976, -3.1852146763800384, -3.130254594045512, -3.0701851085469145, -3.005104269167473, -2.9351183050449974, -2.860341451777832, -2.7808957649621635, -2.696910920965005, -2.608524005258084, -2.515879288658106, -2.419127991838632, -2.3184280384979594, -2.2139437975858804, -2.105845815010112, -1.9943105352602641, -1.8795200134037886, -1.7616616179239695, -1.6409277248850165, -1.5175154039234635, -1.3916260965784102, -1.2634652874856758, -1.1332421689725338, -1.0011692996005257, -0.867462257213683, -0.7323392870584859, -0.596020945549923, -0.45872974026508917, -0.3206897667520048, -0.18212634274641015, -0.04326564039366332, 0.09566568292401811, 0.23444085455233044, 0.3728333567178055, 0.51061729626473, 0.6475677733724874, 0.7834612486515393, 0.9180759080188121, 1.0511920247569284, 1.1825923181663094], [1.591891020476107, 1.485183755895119, 1.3760522787289862, 1.2646747204037525, 1.1512328785438055, 1.0359119202300713, 0.9189000797583837, 0.8003883513913399, 0.6805701776051736, 0.5596411333404703, 0.4377986067721631, 0.3152414771198364, 0.19216979002425916, 0.06878443101999387, -0.054713202362900226, -0.1781215293328886, -0.3012391148701239, -0.4238649985216405, -0.5457990224219742, -0.6668421580036972, -0.7867968308646782, -0.9054672432617537, -1.022659693704397, -1.1381828931267775, -1.2518482771221042, -1.3634703137295747, -1.4728668062716066, -1.5798591907469848, -1.6842728272945302, -1.785937285251518, -1.8846866213415954, -1.9803596505380798, -2.072800209160538, -2.1618574097752097, -2.247385887483192, -2.3292460371943906, -2.4073042414999404, -2.4814330887711438, -2.5515115811289437, -2.617425331944446, -2.679066752548151, -2.736335227843103, -2.789137280535339, -2.837386723713541, -2.88100480152887, -2.919920317745331, -2.9540697519508563, -2.9833973632394155, -3.00785528119491, -3.0274035840283493, -3.0420103637407676, -3.051651778205514, -3.0563120900849094, -3.0559836925177377, -3.0506671215356613, -3.0403710551882694, -3.025112299378212, -3.004915760429518, -2.9798144044338932, -2.9498492034413384, -2.9150690685829352, -2.8755307702349433, -2.831298845354536, -2.7824454921384256, -2.7290504521763115, -2.6712008802915284, -2.60899120228132, -2.5425229607889817, -2.4719046495594106, -2.397251536348631, -2.3186854747763364, -2.236334705428563, -2.150333646535148, -2.060822674563634, -1.9679478950877605, -1.8718609043045333, -1.772718541589148, -1.6706826334916607, -1.5659197295932676, -1.4586008306533587, -1.3489011094910537, -1.236999625056853, -1.1230790301610787, -1.0073252733362015, -0.8899272953196613, -0.7710767206526254, -0.6509675448980836, -0.5297958179887745, -0.4077593242218782, -0.2850572594227323, -0.16188990580458817, -0.03845830505506864, 0.08503606981701495, 0.20839164333887616, 0.33140706659824204, 0.453881545898005, 0.5756151705046264, 0.6964092389553178, 0.816066583391363, 0.9343918913881968], [1.4812295086788532, 1.3903043018505947, 1.2971097507931466, 1.2017979736552813, 1.1045245444585547, 1.0054482391593593, 0.9047307764845813, 0.8025365539638774, 0.6990323795894477, 0.5943871995412762, 0.4887718224222981, 0.3823586404535986, 0.27532134808472364, 0.16783465847840873, 0.06007401833251169, -0.047784678495396804, -0.15556537809331772, -0.2630921538613462, -0.3701894936704173, -0.4766825863444897, -0.582397606998617, -0.6871620007671222, -0.7908047644587546, -0.8931567256791189, -0.9940508189647557, -1.0933223584781437, -1.1908093068185375, -1.2863525395098447, -1.3797961047338543, -1.4709874778848242, -1.5597778105299787, -1.6460221733695062, -1.7295797927994894, -1.8103142806916548, -1.8880938570148613, -1.9627915649349532, -2.0342854780418786, -2.102458899365833, -2.1672005518575705, -2.2284047600219665, -2.285971622408371, -2.3398071746761895, -2.389823542969532, -2.4359390873505795, -2.4780785350575507, -2.516173103369751, -2.5501606118791593, -2.579985583985294, -2.6055993374476962, -2.6269600638482147, -2.6440328968334024, -2.6567899690256214, -2.665210457509973, -2.6692806178228006, -2.6689938063862875, -2.664350491352533, -2.655358251839406, -2.6420317655594183, -2.624392784861817, -2.6024701012270017, -2.5762994982712133, -2.5459236933382097, -2.5113922677732705, -2.472761585993327, -2.430094703485332, -2.383461263883036, -2.3329373852901556, -2.2786055360355095, -2.220554400062896, -2.1588787321754475, -2.09367920337074, -2.0250622365191076, -1.9531398326533758, -1.8780293881535615, -1.799853503124948, -1.7187397812822844, -1.6348206216667958, -1.548233002535928, -1.4591182577786252, -1.367621846221048, -1.273893114199304, -1.1780850517867472, -1.0803540430737222, -0.9808596109073786, -0.8797641565082062, -0.7772326943883021, -0.673432583004062, -0.5685332515829149, -0.4627059235700397, -0.35612333714641853, -0.2489594632744634, -0.14138922173139257, -0.033588195593911685, 0.07426765535978763, 0.18200228186292566, 0.2894398325190739, 0.3964049408381367, 0.5027230114808328, 0.6082205052444474, 0.7127252223246998], [1.3395712335746333, 1.2640413611477337, 1.1864482389958928, 1.1069185196107578, 1.025582016522716, 0.9425714924108881, 0.8580224423993306, 0.7720728728931654, 0.6848630763156454, 0.5965354021138127, 0.5072340244065723, 0.4171047066544036, 0.32629456373485777, 0.23495182181217, 0.14322557639297528, 0.05126554896301627, -0.0407781573979058, -0.1327553030238553, -0.22451575689361292, -0.3159097416841954, -0.40678807824706187, -0.4970024291079165, -0.5864055405926933, -0.6748514831844918, -0.7621958897191163, -0.8482961910304878, -0.9330118486611934, -1.0162045842584169, -1.0977386052807883, -1.1774808266476873, -1.2553010879693067, -1.3310723660028159, -1.4046709819878767, -1.4759768035230856, -1.5448734406538165, -1.6112484358514023, -1.6749934475735526, -1.7360044271063995, -1.7941817883995133, -1.8494305706166596, -1.9016605931370023, -1.950786602753714, -1.9967284128297564, -2.0394110341836695, -2.078764797491748, -2.114725467006794, -2.1472343454078446, -2.1762383696097194, -2.2016901973760037, -2.2235482845940977, -2.241776953086193, -2.2563464488454916, -2.2672329906026127, -2.274418808642912, -2.277892173811356, -2.2776474166576, -2.2736849366900365, -2.2660112017236855, -2.2546387373230155, -2.2395861063569056, -2.220877878699141, -2.1985445911238766, -2.1726226974615517, -2.143154509096597, -2.11018812590407, -2.0737773577379413, -2.0339816365991794, -1.9908659196270215, -1.9445005830717346, -1.8949613074219789, -1.8423289538742282, -1.7866894323459257, -1.7281335612477822, -1.6667569192441087, -1.6026596892431786, -1.5359464948722152, -1.4667262297039843, -1.395111879513681, -1.321220337856274, -1.2451722152653173, -1.1670916423846633, -1.0871060673544384, -1.0053460477819733, -0.9219450376372738, -0.8370391694208497, -0.7507670319594792, -0.6632694441926068, -0.5746892253185907, -0.48517096167601803, -0.39486077074055803, -0.303906062622624, -0.21245529945507702, -0.12065775306378512, -0.028663261316534516, 0.06337801645200081, 0.15531584453998715, 0.2470001561028221, 0.33828129810190344, 0.42901027557796034, 0.5190389948502174], [1.1678407127877377, 1.1072189754028043, 1.0447899638916702, 0.980655578907895, 0.9149205047254623, 0.8476920383663638, 0.779079914463491, 0.7091961261446942, 0.6381547422303946, 0.5660717210431008, 0.4930647211327699, 0.41925290922694103, 0.34475676571913194, 0.2696978880129759, 0.1941987920431103, 0.11838271229677844, 0.04237340066255868, -0.033705075565440445, -0.109728536198201, -0.1855728908467036, -0.2611143414702557, -0.3362295844476222, -0.41079601184113645, -0.48469191152528435, -0.5577966658530551, -0.6299909485358564, -0.7011569194155509, -0.7711784168107583, -0.8399411471234397, -0.9073328713962576, -0.9732435885162376, -1.0375657147656758, -1.1001942594272007, -1.1610269961563917, -1.2199646298421998, -1.2769109586828287, -1.3317730312125033, -1.3844612980228446, -1.4348897579311828, -1.4829760983572222, -1.5286418296789406, -1.5718124133484028, -1.6124173835583833, -1.65039046226119, -1.6856696673519682, -1.71819741383988, -1.7479206078420373, -1.7747907332467572, -1.7987639309046846, -1.8198010702185183, -1.8378678130144959, -1.8529346695913698, -1.8649770468553988, -1.8739752884627778, -1.879914706903991, -1.8827856074777074, -1.8825833041151006, -1.8793081270287484, -1.8729654221736411, -1.8635655425211692, -1.851123831160335, -1.8356605962537769, -1.8172010778894756, -1.7957754068822602, -1.7714185555923478, -1.7441702808412074, -1.7140750590179141, -1.6811820134819224, -1.6455448343807553, -1.6072216910134864, -1.5662751368830636, -1.5227720075924536, -1.4767833117512668, -1.428384115070925, -1.3776534178375814, -1.3246740259627598, -1.269532415822212, -1.2123185931036091, -1.1531259458934615, -1.0920510922430693, -1.0291937224623111, -0.9646564363987058, -0.898544575967331, -0.8309660532049632, -0.7620311741290999, -0.6918524586893735, -0.6205444571052494, -0.5482235628897678, -0.4750078228645629, -0.4010167444762347, -0.3263711007286023, -0.2511927330492174, -0.1756043524119466, -0.09972933904021986, -0.023691541017874407, 0.05238492786366322, 0.12837589069189548, 0.2041573101228149, 0.2796054908426431, 0.35459728147128633], [0.9671587272466398, 0.9208606291909147, 0.8730594431047791, 0.8238331931629674, 0.7732622296212424, 0.7214290976635036, 0.6684184026662381, 0.6143166721001707, 0.5592122142945559, 0.5031949742946296, 0.4463563870475191, 0.38878922815622907, 0.33058746244532955, 0.27184609058551246, 0.21266099402738448, 0.15312877849758433, 0.09334661631269281, 0.03341208776832083, -0.026576978137737406, -0.08652266338829051, -0.14632712077484555, -0.20589273361013127, -0.26512227506433383, -0.32391906686499006, -0.3821871371015, -0.43983137687665064, -0.4967576955494897, -0.5528731743161295, -0.6080862178778004, -0.662306703948599, -0.7154461303588922, -0.767417759514248, -0.8181367599741347, -0.8675203449192548, -0.9154879072815278, -0.9619611513161384, -1.006864220400891, -1.050123820854275, -1.091669341570138, -1.1314329692736713, -1.1693497992106145, -1.2053579410889697, -1.2393986201003258, -1.2714162728558833, -1.3013586380805993, -1.3291768419174046, -1.354825477702262, -1.3782626800798476, -1.3994501933388817, -1.4183534338555608, -1.4349415465431812, -1.449187455215795, -1.4610679067837062, -1.4705635092086604, -1.4776587631567815, -1.4823420872975777, -1.48460583720774, -1.48444631784886, -1.4818637895987097, -1.4768624678262363, -1.4694505160109654, -1.4596400324180443, -1.447447030350674, -1.432891412012164, -1.4159969360202758, -1.3967911786268743, -1.3753054887061953, -1.3515749365851928, -1.3256382567994929, -1.2975377848683913, -1.2673193881920874, -1.2350323911839656, -1.2007294947601057, -1.1644666903174565, -1.1263031683410696, -1.086301221789578, -1.0445261444166185, -1.0010461241941564, -0.955932132011692, -0.9092578058329983, -0.8610993304994996, -0.8115353133764587, -0.7606466560449796, -0.7085164222492324, -0.6552297023144584, -0.6008734742570647, -0.5455364618135006, -0.48930898961966296, -0.4322828357772064, -0.37455108204741183, -0.3162079619171472, -0.2573487067848932, -0.19806939051792494, -0.13846677263436025, -0.078638140366035, -0.01868114986002123, 0.04130633322202204, 0.10122639344649276, 0.16098122543171822, 0.22047329349219957], [0.7388350065267892, 0.7061825703830795, 0.6723774575636794, 0.6374748469510778, 0.6015317088343486, 0.5646067119185743, 0.5267601275620182, 0.4880537313973097, 0.4485507024973039, 0.408315520250107, 0.36741385911168045, 0.32591248140775875, 0.28387912836007967, 0.2413824095148005, 0.19849169075358208, 0.1552769810701209, 0.11180881829696698, 0.06815815396912583, 0.02439623751239761, -0.019405500054528346, -0.06317556271438196, -0.10684250615171731, -0.15033505436892192, -0.19358221602750092, -0.2365134003246956, -0.2790585322163581, -0.32114816679793634, -0.36271360265692376, -0.4036869940117409, -0.444001461453972, -0.4835912011132528, -0.522391592066592, -0.5603393018167893, -0.5973723896678251, -0.6334304078284618, -0.6684545000790014, -0.7023874978402187, -0.7351740134875846, -0.7667605307585252, -0.7970954921051017, -0.8261293828495693, -0.8538148120054188, -0.8801065896319993, -0.9049618005964497, -0.9283398746225417, -0.9502026525120977, -0.970514448430893, -0.9892421081573723, -1.0063550631991063, -1.021825380688651, -1.0356278089773783, -1.0477398188528375, -1.0581416403123916, -1.0668162948330857, -1.073749623085089, -1.0789303080434602, -1.0823498934605305, -1.08400279766873, -1.0838863226913493, -1.082000658646348, -1.078348883436034, -1.0729369577231114, -1.0657737152013045, -1.0568708481764317, -1.0462428884814736, -1.0339071837567781, -1.0198838691341232, -1.0041958343708597, -0.986868686487774, -0.9679307079716613, -0.9474128106108259, -0.9253484850388705, -0.9017737460691295, -0.8767270739089676, -0.8502493513499081, -0.8223837970361094, -0.7931758949201066, -0.7626733200209745, -0.7309258606060975, -0.6979853369235456, -0.6639055166177301, -0.6287420269663895, -0.592552264082169, -0.5553952992269862, -0.5173317823921071, -0.4784238433013339, -0.43873498999885996, -0.3983300051873533, -0.35727484048545755, -0.31563650877730787, -0.27348297482979067, -0.23088304435607032, -0.1879062517064698, -0.14462274637003603, -0.10110317847201333, -0.05741858345416073, -0.013640266126138556, 0.030160315722807418, 0.07391166796184478, 0.11754237681587743], [0.48435968104022153, 0.4645858724342071, 0.4440537368438262, 0.42279678814323995, 0.40084972329324886, 0.37824836570668285, 0.35502960677512263, 0.3312313456523803, 0.3068924273930822, 0.28205257954724505, 0.25675234731442664, 0.2310330273632344, 0.2049366004242401, 0.1785056627663293, 0.15178335666833132, 0.12481329999940893, 0.09763951502316459, 0.07030635654166328, 0.042858439496671785, 0.015340566146277546, -0.012202347064246943, -0.039725342817955145, -0.06718349630845744, -0.09453198856908518, -0.12172617962928367, -0.14872168137886543, -0.17547443002113017, -0.20194075799662947, -0.22807746526018402, -0.2538418897947645, -0.2791919772471916, -0.30408634957196057, -0.3284843725711468, -0.35234622222016654, -0.37563294967111327, -0.39830654482757044, -0.4203299983871496, -0.44166736225044456, -0.4622838081978493, -0.48214568473840735, -0.501220572037953, -0.5194773348368451, -0.5368861732709505, -0.5534186715128948, -0.5690478441542113, -0.5837481802526603, -0.5974956849728312, -0.6102679187520612, -0.6220440339277331, -0.6328048087661715, -0.6425326788375985, -0.6512117656859235, -0.6588279027465841, -0.6653686584701237, -0.6708233566137698, -0.6751830936678811, -0.6784407533888334, -0.6805910184146083, -0.6816303789441351, -0.6815571384662136, -0.680371416528669, -0.6780751485432188, -0.6746720826263685, -0.6701677734814945, -0.6645695733321, -0.6578866199210416, -0.6501298215953175, -0.64131183950076, -0.6314470669156989, -0.6205516057573246, -0.6086432402991031, -0.5957414081421368, -0.581867168487864, -0.567043167763869, -0.5512936026589288, -0.5346441806276179, -0.517122077928942, -0.4987558952675024, -0.479575611109583, -0.45961253275036196, -0.43889924521213386, -0.4174695580569341, -0.3953584502003977, -0.3726020128169134, -0.3492373904292947, -0.325302720279085, -0.30083707007650773, -0.2758803742316216, -0.25047336867081516, -0.2246575243449973, -0.19847497953804094, -0.17196847108596458, -0.1451812646191133, -0.11815708394121316, -0.09094003966055819, -0.0635745571898374, -0.036105304232116886, -0.008577117871332973, 0.0189650686136833, 0.046476299092192086], [0.20539355685836602, 0.19764729042663465, 0.18957841135726428, 0.18120009019437022, 0.17252600257339834, 0.16357030689884944, 0.15434762123402468, 0.1448729994404907, 0.13516190660618843, 0.1252301938023157, 0.11509407221020673, 0.10477008666037335, 0.0942750886269863, 0.08362620872180582, 0.07284082873249265, 0.06193655325093772, 0.05093118093791471, 0.03984267547095133, 0.028689136222869394, 0.017488768718814107, 0.00625985492002723, -0.004979276617150141, -0.016210280658323306, -0.027414825235323015, -0.03857462156882008, -0.04967145392045147, -0.06068720932571825, -0.07160390715913856, -0.08240372848337962, -0.09306904513447023, -0.10358244849563647, -0.11392677791275485, -0.12408514870508736, -0.13404097972553952, -0.14377802042547394, -0.1532803773799145, -0.16253254022980546, -0.1715194069990167, -0.1802263087447833, -0.18863903350127043, -0.19674384947728063, -0.2045275274701548, -0.21197736245933774, -0.2190811943443256, -0.22582742779316645, -0.2322050511691094, -0.23820365450450476, -0.2438134464926276, -0.2490252704696756, -0.2538306193608646, -0.2582216495662295, -0.26219119376344824, -0.26573277260680883, -0.2688406053032142, -0.2715096190479668, -0.27373545730492355, -0.2755144869175188, -0.27684380403903364, -0.2777212388724426, -0.2781453592120964, -0.2781154727814594, -0.27763162836308874, -0.2766946157190079, -0.27530596430160625, -0.2734679407571685, -0.27118354522610866, -0.2684565064459479, -0.2652912756650274, -0.2616930193768967, -0.25766761088722845, -0.253221620727031, -0.24836230592780373, -0.24309759817614518, -0.2374360908671389, -0.2313870250776664, -0.22496027448252276, -0.21816632923796586, -0.21101627885901442, -0.20352179411842153, -0.19569510799689338, -0.187548995715622, -0.17909675388375224, -0.17035217879480324, -0.16132954390746068, -0.1520435765475252, -0.14250943386901582, -0.13274267811369622, -0.12275925120937536, -0.11257544874846381, -0.1022078933892665, -0.09167350772340033, -0.0809894866536558, -0.07017326932736445, -0.059242510671108306, -0.04821505257320169, -0.03710889476101453, -0.025942165420661745, -0.014733091607008753, -0.0034999694922950297, 0.007738865498051695], [-0.09624272336167428, -0.09289102945376859, -0.08938771282459435, -0.08573849181320492, -0.08194932291316936, -0.07802639105002296, -0.0739760994858285, -0.06980505936734716, -0.0655200789349113, -0.0611281524095757, -0.056636448576688814, -0.052052299084556, -0.04738318647723627, -0.042636731981057, -0.03782068306476116, -0.03294290079358664, -0.028011346997924846, -0.023034071277519885, -0.018019197862381375, -0.01297491235189785, -0.007909448353775161, -0.0028310740446126914, 0.0022519213259508675, 0.007331240965482877, 0.01239859408131494, 0.017445709413310695, 0.02246434873474623, 0.027446320299276294, 0.032383492212032294, 0.03726780570302157, 0.0420912882811697, 0.04684606674753944, 0.05152438004646953, 0.05611859193366797, 0.0606212034405873, 0.06502486511471695, 0.06932238901583698, 0.0735067604486419, 0.07757114941256527, 0.08150892175016056, 0.0853136499757885, 0.08897912376698525, 0.09249936010133819, 0.09586861302236827, 0.09908138301845026, 0.10213242599946426, 0.10501676185654407, 0.1077296825909273, 0.11026675999865487, 0.1126238528985728, 0.11479711389183223, 0.1167829956418629, 0.11857825666456434, 0.12017996661926555, 0.12158551109181293, 0.12279259586199043, 0.12379925064828867, 0.12460383232392835, 0.12520502759887642, 0.12560185516348282, 0.1257936672902376, 0.1257801508910329, 0.12556132802820613, 0.12513755587852815, 0.1245095261501965, 0.123678263953784, 0.12264512612898804, 0.12141179902990995, 0.11998029577247693, 0.11835295294850812, 0.11653242681177467, 0.11452168894229597, 0.1123240213959309, 0.10994301134719775, 0.10738254523405555, 0.10464680241421087, 0.10174024834329964, 0.09866762728608469, 0.09543395457255777, 0.09204450841159906, 0.0885048212755426, 0.0848206708697199, 0.08099807070171128, 0.07704326026572295, 0.07296269485807194, 0.06876303504043957, 0.06445113576807593, 0.06003403520069739, 0.05551894321434858, 0.05091322963298239, 0.0462244121989519, 0.041460144302076785, 0.03662820248727794, 0.031736473761202255, 0.02679294271854804, 0.02180567850909121, 0.016782821666695646, 0.011732570821814114, 0.006663169319160112, 0.0015828917623759153], [-0.418580562607223, -0.405132919848862, -0.39102399304463464, -0.3762768116936055, -0.3609154470950249, -0.3449649730575981, -0.32845142497239355, -0.3114017573162169, -0.2938437996547618, -0.2758062112174091, -0.25731843411778677, -0.23841064529644562, -0.21911370726412738, -0.19945911772598457, -0.17947895816898107, -0.1592058414964468, -0.13867285879517866, -0.11791352532204336, -0.09696172579822004, -0.07585165910036906, -0.05461778243902593, -0.03329475511532465, -0.011917381947851524, 0.009479443538019439, 0.030860796065589113, 0.0521917756141157, 0.07343756438488036, 0.09456348363303757, 0.11553505027249589, 0.13631803316143465, 0.15687850897657984, 0.17718291758503035, 0.19719811682327393, 0.21689143659396226, 0.2362307321921424, 0.25518443677392266, 0.2737216128818982, 0.2918120029432707, 0.3094260786582046, 0.3265350891978165, 0.3431111081331326, 0.3591270790184131, 0.3745568595544042, 0.3893752642595052, 0.4035581055791222, 0.4170822333661546, 0.4299255726681568, 0.4420671597594965, 0.4534871763596997, 0.4641669819821237, 0.47408914436015825, 0.4832374679012965, 0.49159702012262185, 0.49915415602457225, 0.5058965403631819, 0.5118131677844657, 0.5168943807880639, 0.5211318854908379, 0.5245187651646794, 0.5270494915264403, 0.5287199337615522, 0.5295273652666077, 0.5294704680998987, 0.5285493351326455, 0.526765469897406, 0.524121784133914, 0.5206225930363486, 0.5162736082097982, 0.5110819283474084, 0.505056027643441, 0.4982057419611443, 0.49054225277802854, 0.4820780689347326, 0.4728270062172939, 0.4628041648061276, 0.452025904628544, 0.4405098186550185, 0.4282747041828143, 0.41534053215382016, 0.40172841455669417, 0.3874605699665188, 0.3725602872782079, 0.35705188769287277, 0.3409606850191915, 0.3243129443545838, 0.3071358392136214, 0.2894574071736695, 0.2713065041101501, 0.25271275709611807, 0.2337065160430516, 0.2143188041617634, 0.1945812673243239, 0.17452612240962928, 0.15418610471693306, 0.13359441453318865, 0.1127846629414, 0.09179081695844449, 0.07064714409191897, 0.049388156406516615, 0.028048554191198782], [-0.759516257348503, -0.7370405673622846, -0.7133618322901798, -0.6885187020886989, -0.6625517273150616, -0.6355032929379956, -0.6074175491542491, -0.5783403393237894, -0.5483191251413264, -0.5174029091662815, -0.4856421548376373, -0.4530887041042808, -0.4197956928052271, -0.3858174639378742, -0.35120947895587484, -0.31602822724137614, -0.2803311338993977, -0.2441764660249044, -0.20762323759547208, -0.17073111314489164, -0.1335603103748646, -0.09617150186379497, -0.058625716033101405, -0.020984237532692518, 0.016691492791786722, 0.05433997818665315, 0.09189976636915453, 0.12930954983384257, 0.1665082659226309, 0.2034351964951968, 0.24003006703704344, 0.2762331450434443, 0.31198533751868496, 0.3472282874314514, 0.3819044689689468, 0.4159572814342152, 0.44933114163345156, 0.4819715746024764, 0.5138253025242641, 0.5448403316924462, 0.574966037378775, 0.604153246466069, 0.6323543177117497, 0.6595232195109348, 0.6856156050321882, 0.7105888846032915, 0.7344022952288292, 0.7570169671261873, 0.7783959871713124, 0.7985044591506933, 0.8173095607212035, 0.8347805969848479, 0.8508890505909483, 0.8656086282840059, 0.8789153038212396, 0.8907873571897726, 0.9012054100594329, 0.9101524574133132, 0.9176138953044547, 0.9235775446933501, 0.9280336713273553, 0.9309750016295653, 0.9323967345712133, 0.9322965495082202, 0.9306746099690987, 0.9275335633880313, 0.9228785367835581, 0.9167171283899282, 0.909059395254769, 0.8999178368233293, 0.8893073745360758, 0.8772453274729615, 0.8637513840841022, 0.8488475700530262, 0.8325582123449298, 0.8149098994986397, 0.7959314382270906, 0.7756538063971474, 0.754110102465539, 0.7313354914534242, 0.7073671475477803, 0.682244193423303, 0.6560076363838485, 0.6287003014276804, 0.6003667613457453, 0.57105326396709, 0.5408076566701814, 0.5096793082833311, 0.47771902850171255, 0.4449789849525043, 0.4115126180435329, 0.3773745537343931, 0.3426205143724399, 0.3073072277391793, 0.2714923344555391, 0.2352342938971308, 0.1985922887730851, 0.16162612852422864, 0.12439615169826546, 0.08696312746130364], [-1.1168247271353464, -1.0864478121312393, -1.0542975270314634, -1.020426349602125, -0.9848895665606139, -0.9477451833330921, -0.9090538293742894, -0.8688786592041926, -0.827285249323185, -0.7843414911738567, -0.740117480324205, -0.6946854020531532, -0.6481194135250803, -0.600495522745712, -0.5518914644969746, -0.5023865734532675, -0.45206165468629234, -0.40099885176983374, -0.34928151269969376, -0.29699405384775357, -0.2442218221721184, -0.19105095590831933, -0.13756824396894096, -0.08386098428116373, -0.030016841293464047, 0.023876297115941192, 0.07773046309535214, 0.13145775240638002, 0.18497046790690508, 0.2381812626960027, 0.29100328268717846, 0.3433503083772065, 0.39513689557914944, 0.44627851488986714, 0.4966916896643587, 0.5462941322717079, 0.5950048784102577, 0.6427444192627707, 0.689434831275821, 0.7349999033516537, 0.7793652612448363, 0.8224584889607005, 0.8642092469573921, 0.9045493869585934, 0.9434130631895368, 0.9807368398547225, 1.0164597946818987, 1.0505236183633273, 1.0828727097319883, 1.1134542665173877, 1.1422183715328198, 1.1691180741534206, 1.1941094669519972, 1.2171517573675608, 1.2382073342895696, 1.25724182944921, 1.2742241735174946, 1.2891266468186244, 1.301924924575828, 1.3125981166158296, 1.321128801467135, 1.3275030547964792, 1.3317104721370208, 1.3337441858711823, 1.3336008764404177, 1.3312807777636104, 1.3267876768552551, 1.3201289076440499, 1.311315339001983, 1.3003613570034638, 1.2872848414434408, 1.272107136652854, 1.2548530166590381, 1.2355506447479634, 1.2142315274943034, 1.1909304633343762, 1.1656854857658963, 1.1385378012672471, 1.1095317220376142, 1.078714593667761, 1.0461367178595031, 1.0118512703200366, 0.9759142139651145, 0.9383842075727791, 0.8993225100367246, 0.8587928803755815, 0.816861473661346, 0.7735967330368023, 0.7290692779982271, 0.6833517891256888, 0.6365188894491292, 0.5886470226438485, 0.5398143282542112, 0.49010051414925204, 0.4395867264183524, 0.3883554169193797, 0.33649020869543733, 0.28407575947996033, 0.23119762351290785, 0.1779421118936142], [-1.4881740363474323, -1.451074285037802, -1.4116059968183068, -1.3698335943710762, -1.325825261301894, -1.2796528308465183, -1.231391668619838, -1.181120549599286, -1.1289215295432218, -1.0748798110542541, -1.0190836045060605, -0.9616239840607257, -0.9025947390116422, -0.8420922206945818, -0.7802151852168251, -0.717064632261101, -0.6527436402273921, -0.5873571979817234, -0.5210120334865875, -0.4538164395926829, -0.3858800972763383, -0.31731389661118037, -0.24822975576619477, -0.1787404383256863, -0.10895936922930272, -0.03900044963252913, 0.031022129010102262, 0.10099407133566807, 0.1708011646331027, 0.24032946526853927, 0.30946548467145263, 0.3780963745780115, 0.44611011122928446, 0.5133956782236293, 0.5798432477248223, 0.6453443597301218, 0.7097920991056696, 0.7730812701002616, 0.8351085680526253, 0.8957727480119462, 0.9549747899963896, 1.0126180606199062, 1.0686084708234516, 1.1228546294532205, 1.175267992435176, 1.2257630073023784, 1.2742572528392442, 1.320671573614757, 1.3649302091850544, 1.4069609177545246, 1.4466950940934922, 1.4840678815201114, 1.5190182777636099, 1.55148923453613, 1.581427750650615, 1.608784958532761, 1.633516203985821, 1.6555811190780578, 1.6749436880338853, 1.6915723060211365, 1.705439830738504, 1.7165236267189545, 1.724805602276796, 1.7302722390380918, 1.7329146140062206, 1.732728414126568, 1.7297139433265698, 1.7238761220196246, 1.7152244790736755, 1.703773136257581, 1.6895407851906503, 1.6725506568329842, 1.6528304835663987, 1.6304124539278515, 1.6053331600692349, 1.5776335380293092, 1.547358800915266, 1.5145583651029797, 1.4792857695764163, 1.441598588537857, 1.4015583374315752, 1.3592303725343697, 1.3146837842768333, 1.2679912844695092, 1.219229087617987, 1.1684767865206767, 1.1158172223523222, 1.0613363494452912, 1.0051230949893886, 0.9472692138791574, 0.887869138945641, 0.8270198268170303, 0.7648205996598056, 0.7013729830587048, 0.6367805403001219, 0.5711487033294489, 0.5045846006582488, 0.43719688250220656, 0.3690955434352592, 0.300391742849345], [-1.8711406133234303, -1.828540290294784, -1.7829553060303884, -1.734460067277639, -1.6831337310887333, -1.6290600756154654, -1.5723273633611181, -1.5130281971127086, -1.4512593687887705, -1.3871217014493507, -1.3207198847260972, -1.2521623039411258, -1.1815608631935008, -1.1090308027021543, -1.0346905107033897, -0.9586613302099734, -0.8810673609472399, -0.8020352567895586, -0.7216940190276846, -0.6401747858045699, -0.5576106180632321, -0.47413628235610794, -0.3898880308704138, -0.30500337902854824, -0.21962088102655475, -0.1338799036770526, -0.047920398925737295, 0.03811732458719774, 0.1240928305478528, 0.2098657841978273, 0.29529618139765024, 0.38024457715054893, 0.46457231321355863, 0.5481417444244343, 0.6308164633749573, 0.7124615230638831, 0.7929436571661324, 0.8721314975586756, 0.9498957887480364, 1.026109598849437, 1.1006485267731958, 1.1733909052801987, 1.2442179995750067, 1.313014201112428, 1.3796672163012356, 1.444068249797008, 1.506112182084884, 1.565697741062411, 1.6227276673423998, 1.677108873005952, 1.7287525935465586, 1.7775745327572483, 1.8234950003242822, 1.8664390419028207, 1.9063365614622276, 1.9431224357013306, 1.9767366203468664, 2.007124248161609, 2.0342357185022117, 2.05802677828057, 2.0784585941965616, 2.0954978161242614, 2.109116631548165, 2.1192928109605673, 2.126009744145996, 2.1292564672934775, 2.129027680892373, 2.1253237583825824, 2.11815074554499, 2.1075203506331555, 2.093449925262343, 2.075962436087101, 2.0550864273136082, 2.0308559741079817, 2.0033106269765955, 1.9724953472091973, 1.9384604334901974, 1.9012614397979126, 1.8609590847257858, 1.8176191523735894, 1.771312384970377, 1.7221143674044654, 1.670105403848905, 1.6153703866838418, 1.5579986579297058, 1.4980838634174063, 1.4357237999335837, 1.3710202555903868, 1.3040788436803643, 1.2350088302876459, 1.1639229559368025, 1.090937251570499, 1.0161708491563175, 0.9397457872318857, 0.8617868117057155, 0.7824211722389016, 0.7017784145400183, 0.6199901689122767, 0.5371899353980698, 0.45351286587159123]]}, {\"marker\": {\"color\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195], \"colorscale\": [[0.0, \"rgb(255,245,240)\"], [0.125, \"rgb(254,224,210)\"], [0.25, \"rgb(252,187,161)\"], [0.375, \"rgb(252,146,114)\"], [0.5, \"rgb(251,106,74)\"], [0.625, \"rgb(239,59,44)\"], [0.75, \"rgb(203,24,29)\"], [0.875, \"rgb(165,15,21)\"], [1.0, \"rgb(103,0,13)\"]], \"opacity\": 0.8, \"size\": 6}, \"mode\": \"markers\", \"type\": \"scatter3d\", \"x\": [1.0, 0.9309113354661982, 0.8678952457584926, 0.81006986185912, 0.7563858415933743, 0.7058852263898537, 0.6577873780716726, 0.6114923377890915, 0.5665548714797677, 0.5226530486262142, 0.479559963522985, 0.4371207302739327, 0.39523453314687634, 0.35384085642662877, 0.312908975928991, 0.2724299371222631, 0.23241041510967625, 0.19286800009388344, 0.153827568417812, 0.1153184867491496, 0.07737246137986412, 0.040021891645872804, 0.0032986207492579356, -0.03276699771579568, -0.06814678089471785, -0.102815195292202, -0.13674967262919413, -0.16993079507889575, -0.20234237618782785, -0.23397145922448512, -0.26480825105288736, -0.29484600665347427, -0.32408087693738186, -0.35251173040419503, -0.38013995739735656, -0.4069692641606672, -0.43300546255581673, -0.4582562601375632, -0.4827310542796333, -0.5064407331841887, -0.5293974858765649, -0.5516146226719516, -0.5731064070895058, -0.5938878997703587, -0.6139748146179244, -0.6333833871112271, -0.6521302545347372, -0.6702323477122695, -0.6877067937195676, -0.7045708289727981, -0.7208417220417666, -0.7365367055114966, -0.7516729162089919, -0.7662673431193354, -0.7803367823332944, -0.7938977983943925, -0.8069666914446219, -0.8195594696026995, -0.8316918260454944, -0.8433791203008044, -0.8546363632971122, -0.8654782057526302, -0.8759189295213513, -0.8859724415476111, -0.8956522701126051, -0.9049715630862564, -0.9139430879257373, -0.9225792331877951, -0.9308920113458606, -0.9388930627247893, -0.9465936603860791, -0.9540047158146314, -0.9611367852746813, -0.968000076717515, -0.9746044571371609, -0.980959460282456, -0.9870742946448954, -0.9929578516515537, -0.9986187140012178, -1.0040651640897993, -1.0093051924781717, -1.014346506361891, -1.0191965380078765, -1.0238624531281262, -1.028351159164973, -1.032669313466317, -1.036823331332739, -1.0408193939214727, -1.0446634559949073, -1.0483612535036768, -1.0519183109964727, -1.0553399488505415, -1.0586312903184285, -1.0617972683879138, -1.064842632453293, -1.0677719547972002, -1.07058963688307, -1.073299915459104, -1.0759068684752726, -1.078414420815434, -1.0808263498471324, -1.083146290792021, -1.0853777419201913, -1.0875240695719468, -1.0895885130107765, -1.0915741891114508, -1.093484096887286, -1.0953211218607193, -1.0970880402813925, -1.0987875231959852, -1.100422140374042, -1.1019943640940373, -1.103506572793896, -1.104961054590147, -1.106360010669843, -1.107705558559313, -1.1089997352737495, -1.110244500351556, -1.1114417387772988, -1.1125932637970224, -1.113700819629597, -1.1147660840776783, -1.1157906710417622, -1.1167761329407269, -1.1177239630421547, -1.1186355977056361, -1.1195124185421577, -1.1203557544925848, -1.1211668838281583, -1.1219470360758248, -1.1226973938711384, -1.1234190947413747, -1.124113232821416, -1.1247808605048786, -1.125422990032867, -1.1260405950226642, -1.1266346119385822, -1.1272059415071205, -1.1277554500785076, -1.1282839709366244, -1.1287923055592375, -1.1292812248304054, -1.129751470206846, -1.1302037548399972, -1.1306387646554357, -1.131057159391257, -1.131459573596966, -1.1318466175943633, -1.132218878401868, -1.132576920623652, -1.1329212873049213, -1.1332525007546248, -1.1335710633368221, -1.1338774582318996, -1.1341721501687787, -1.134455586129216, -1.1347281960252542, -1.1349903933508443, -1.1352425758086213, -1.1354851259127752, -1.1357184115689283, -1.135942786631894, -1.1361585914421557, -1.1363661533418787, -1.1365657871712334, -1.1367577957457775, -1.136942470315623, -1.1371200910070773, -1.137290927247429, -1.1374552381735195, -1.1376132730247202, -1.1377652715209068, -1.1379114642260058, -1.1380520728976615, -1.1381873108235536, -1.1383173831448745, -1.1384424871674552, -1.1385628126610134, -1.138678542146974, -1.1387898511752998, -1.1388969085907523, -1.1389998767889835, -1.1390989119628503, -1.1391941643393209, -1.139285778407336, -1.139373893136967, -1.139458642190205, -1.1395401541237002, -1.1396185525837583, -1.1396939564938897, -1.1397664802351963, -1.1398362338198689, -1.139903323058058, -1.1399678497183723, -1.1400299116822463, -1.140089603092413], \"y\": [1.0, 1.0540302305868139, 1.0923861514196762, 1.1175060992695927, 1.1320398397876825, 1.1383459016806632, 1.1383448766630055, 1.133536127046174, 1.1250679218824993, 1.1138133531823053, 1.1004358450131289, 1.085441072520317, 1.0692166007476915, 1.052061643764336, 1.0342092480871297, 1.0158427867459474, 0.9971082160556711, 0.9781231841957866, 0.9589838003662746, 0.9397696637578148, 0.9205475969352254, 0.9013744144369704, 0.8822989734911875, 0.8633636916269055, 0.8446056697309522, 0.8260575245238813, 0.8077480084434366, 0.7897024753175401, 0.7719432353684528, 0.7544898318339274, 0.737359262947535, 0.7205661665402595, 0.7041229796229804, 0.6880400816177862, 0.6723259271461416, 0.6569871722398853, 0.6420287963517406, 0.6274542214771761, 0.6132654289588495, 0.5994630740499456, 0.586046598001818, 0.5730143372660702, 0.560363629323731, 0.5480909146450966, 0.5361918343204708, 0.5246613229672299, 0.5134936965995066, 0.5026827352339166, 0.492221760091504, 0.4821037053379321, 0.47232118437803955, 0.46286655078561173, 0.4537319540039067, 0.4449093899970965, 0.4363907470677932, 0.4281678470819508, 0.42023248236059085, 0.41257644850897285, 0.4051915734590417, 0.39806974300119435, 0.3912029230775421, 0.38458317910173034, 0.37820269256075195, 0.372053775142711, 0.36612888062170573, 0.36042061471737924, 0.35492174313261926, 0.349625197958691, 0.344524082623014, 0.33961167554103855, 0.33488143262039527, 0.3303269887527827, 0.3259421584170088, 0.32172093550525055, 0.3176574924739756, 0.31374617891108153, 0.3099815196016497, 0.3063582121662659, 0.30287112433809743, 0.29951529093781337, 0.29628591059895143, 0.2931783422904356, 0.29018810167759646, 0.2873108573582015, 0.2845424270056277, 0.28187877344736806, 0.27931600070351953, 0.2768503500067213, 0.27447819582216504, 0.27219604188375474, 0.2700005172602247, 0.26788837246300207, 0.265856475605806, 0.26390180862438223, 0.26202146356336137, 0.2602126389359846, 0.25847263616134175, 0.2567988560828008, 0.25518879557046215, 0.2536400442097274, 0.25215028107742654, 0.25071727160638513, 0.24933886453882412, 0.24801298896856477, 0.2467376514716481, 0.24551093332467017, 0.24433098780986987, 0.24319603760578506, 0.24210437226210632, 0.24105434575720397, 0.2400443741366784, 0.2390729332311819, 0.2381385564516816, 0.23723983266027193, 0.23637540411460026, 0.23554396448394105, 0.23474425693493484, 0.2339750722850024, 0.23323524722144692, 0.2325236625842675, 0.23183924171072393, 0.23118094883971665, 0.23054778757407213, 0.22993879939885684, 0.22935306225387728, 0.22878968915856127, 0.22824782688745576, 0.2277266546946178, 0.22722538308521806, 0.22674325263271974, 0.22627953284004024, 0.22583352104314752, 0.22540454135558735, 0.22499194365248257, 0.22459510259258944, 0.22421341667704034, 0.22384630734344477, 0.22349321809406386, 0.22315361365681508, 0.22282697917790473, 0.2225128194449269, 0.22221065813930543, 0.22192003711699537, 0.2216405157163964, 0.22137167009246836, 0.22111309257607323, 0.2208643910576032, 0.2206251883939875, 0.22039512183820326, 0.2201738424904466, 0.21996101477015154, 0.21975631590807262, 0.21955943545767653, 0.21937007482511534, 0.21918794681708043, 0.2190127752058622, 0.2188442943109657, 0.2186822485966557, 0.21852639228482879, 0.2183764889826319, 0.2182323113242685, 0.21809364062645464, 0.2179602665570064, 0.21783198681606145, 0.21770860682945375, 0.2175899394537805, 0.2174758046927164, 0.21736602942414815, 0.21726044713771697, 0.2171588976823738, 0.21706122702356567, 0.21696728700968676, 0.21687693514744147, 0.21679003438577982, 0.21670645290807886, 0.21662606393225578, 0.2165487455185105, 0.21647438038440675, 0.21640285572701212, 0.2163340630518279, 0.21626789800824964, 0.21620426023130945, 0.21614305318946053, 0.2160841840381733, 0.21602756347912155, 0.21597310562474503, 0.21592072786798389, 0.2158703507569871, 0.21582189787460518, 0.2157752957224848, 0.21573047360958936, 0.21568736354497683, 0.2156459001346723, 0.21560602048247876, 0.21556766409457595, 0.2155307727877626], \"z\": [-1.505843394698784, -2.2129641713147965, -2.715900204443005, -3.08828710511189, -3.3831687054869297, -3.634175392568614, -3.8612241540424384, -4.075636165600999, -4.283634043334835, -4.4884914829759675, -4.691794575519368, -4.8941678874213785, -5.095690485391705, -5.296135322836546, -5.495108523285432, -5.692131849063149, -5.886692698746094, -6.078275296793654, -6.26638074325911, -6.45054023290152, -6.630323876414607, -6.80534651297328, -6.975271327894687, -7.139811775978348, -7.298732143438027, -7.451846993139323, -7.599019691672988, -7.740160191606841, -7.8752222265054685, -8.004200063881914, -8.127124949185403, -8.244061361049638, -8.35510318411483, -8.46036989107073, -8.56000281062848, -8.654161543434412, -8.743020573954368, -8.826766113450887, -8.905593197604992, -8.979703052248485, -9.049300732126522, -9.114593030581284, -9.175786652455798, -9.233086638241433, -9.28669502438861, -9.336809722610923, -9.383623599780138, -9.42732373948132, -9.468090866332538, -9.506098914645294, -9.541514723798942, -9.574497843729702, -9.605200435113158, -9.633767250083203, -9.660335680628739, -9.685035863101724, -9.707990828526167, -9.729316689595734, -9.749122856372702, -9.76751227374385, -9.784581674644844, -9.800421843932119, -9.815117888561673, -9.828749510430502, -9.841391278853042, -9.853112900187396, -9.863979482599778, -9.874051794366686, -9.883386514468793, -9.892036474533871, -9.900050891444362, -9.907475590143076, -9.914353216353149, -9.9207234390801, -9.926623142888577, -9.932086610047968, -9.93714569272232, -9.941829975444511, -9.94616692816406, -9.950182050195336, -9.953899005419757, -9.957339749113634, -9.960524646784258, -9.963472585401732, -9.966201077414123, -9.968726357929617, -9.971063475442435, -9.973226376469864, -9.975227984456392, -9.977080273288388, -9.978794335749022, -9.980380447228892, -9.981848124993133, -9.983206183290939, -9.984462784578714, -9.985625487113365, -9.986701289158047, -9.987696670028612, -9.988617628195673, -9.989469716644077, -9.990258075679233, -9.99098746335778, -9.991662283708774, -9.99228661290082, -9.992864223500353, -9.99339860695667, -9.99389299444018, -9.994350376151814, -9.994773519213457, -9.995164984241727, -9.995527140700307, -9.995862181119428, -9.99617213426485, -9.996458877332909, -9.996724147242755, -9.996969551091846, -9.99719657583605, -9.997406597251281, -9.997600888229535, -9.997780626458297, -9.997946901528895, -9.998100721515844, -9.99824301906639, -9.998374657036441, -9.99849643370651, -9.998609087608791, -9.998713301994224, -9.998809708966299, -9.998898893306324, -9.99898139601314, -9.99905771757849, -9.999128321017741, -9.999193634674164, -9.999254054813669, -9.999309948025562, -9.99936165344387, -9.999409484802532, -9.999453732336914, -9.99949466454309, -9.99953252980552, -9.99956755790297, -9.999599961401714, -9.999629936944512, -9.999657666443106, -9.999683318181468, -9.99970704783646, -9.999728999422075, -9.999749306163023, -9.999768091302876, -9.999785468851707, -9.999801544277775, -9.999816415147372, -9.999830171716788, -9.99984289747992, -9.999854669674889, -9.999865559752688, -9.999875633810746, -9.99988495299402, -9.99989357386602, -9.999901548752074, -9.999908926056847, -9.999915750558099, -9.999922063678422, -9.999927903736628, -9.999933306180303, -9.999938303800928, -9.999942926932903, -9.999947203637646, -9.999951159873893, -9.999954819655265, -9.999958205195998, -9.999961337045784, -9.999964234214477, -9.999966914287485, -9.999969393532508, -9.999971686998256, -9.999973808605812, -9.999975771233105, -9.999977586793092, -9.999979266306052, -9.999980819966487, -9.999982257204987, -9.999983586745483, -9.999984816658191, -9.9999859544086, -9.999987006902783, -9.999987980529317, -9.999988881198064, -9.999989714376035, -9.999990485120577, -9.999991198110076, -9.999991857672345, -9.999992467810902, -9.999993032229263, -9.999993554353427, -9.999994037352668]}],                        {\"autosize\": false, \"height\": 700, \"margin\": {\"b\": 65, \"l\": 65, \"r\": 50, \"t\": 90}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"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\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"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\": [[0.0, \"#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\"], [1.0, \"#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\": [[0.0, \"#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\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#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\"], [1.0, \"#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\": \"Loss function\"}, \"width\": 700},                        {\"responsive\": true}                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('8584d7e2-7f51-4b6f-9ed5-f503d6470f98');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
       "}}\n",
       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
       "}}\n",
       "\n",
       "                        })                };                });            </script>        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cs = 'algae'\n",
    "fig = go.Figure(data=[go.Surface(z=Z, x=X, y=Y,\n",
    "                                 contours = {\"x\": {\"show\": True},\n",
    "                                             \"y\": {\"show\": True}\n",
    "                                            },\n",
    "                                 showscale=False,\n",
    "                                 opacity=0.75,\n",
    "                                 colorscale=cs\n",
    "                                ),\n",
    "                      go.Scatter3d(x=x_list[:,0], y=x_list[:,1], z=y_list,\n",
    "                                 mode='markers',\n",
    "                                 marker=dict(size=6,\n",
    "                                             color=np.arange(len(y_list)),\n",
    "                                             colorscale='reds',\n",
    "                                             opacity=0.8)\n",
    "                                )\n",
    "                     ])\n",
    "fig.update_layout(title='Loss function', autosize=False,\n",
    "                  width=700, height=700,\n",
    "                  margin=dict(l=65, r=50, b=65, t=90))\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Revisiting Ordinary Linear Regression\n",
    "\n",
    "This part of the notebook deals with more advanced issues with linear regression and will be revisited in Week 4."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#A helper method for pretty-printing linear models\n",
    "def pretty_print_linear(coefs, intercept, names = None, sort = False):\n",
    "    if names == None:\n",
    "        names = [\"X%s\" % x for x in range(1,1+len(coefs))]\n",
    "    lst = zip(coefs, names)\n",
    "    if sort:\n",
    "        lst = sorted(lst,  key = lambda x:-np.abs(x[0]))\n",
    "    return \"%6.3f\"%intercept+\" + \" +\" + \".join(\"%6.3f * %s\" % (coef, name)\n",
    "                                   for coef, name in lst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a41233ba8>"
      ]
     },
     "execution_count": 167,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#generate some data\n",
    "x = np.arange(20)\n",
    "w = np.array([-3.8,0.11])\n",
    "y = w[0] + w[1]*x\n",
    "sigma2 = 0.1\n",
    "y = y + np.random.normal(0,sqrt(sigma2),x.shape[0])\n",
    "plt.scatter(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculateSquaredLoss(X,y,w):\n",
    "    X1 = np.hstack([np.ones([X.shape[0],1]),X])\n",
    "    ypred = np.dot(X1,w)\n",
    "    return 0.5*np.sum(np.power(ypred - y,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3.808 +  0.106 * X1\n"
     ]
    }
   ],
   "source": [
    "# fit model - note that LinearRegression's fit function adds the intercept by default\n",
    "x = np.transpose(np.reshape(x,[1,len(x)]))\n",
    "y = np.transpose(np.reshape(y,[1,len(y)]))\n",
    "lr = LinearRegression()\n",
    "lr.fit(x,y)\n",
    "print(pretty_print_linear(lr.coef_,lr.intercept_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1a423d0c88>]"
      ]
     },
     "execution_count": 170,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xtest = np.transpose(np.reshape(range(25),[1,len(range(25))]))\n",
    "ytest = lr.predict(xtest)\n",
    "plt.scatter(x,y)\n",
    "plt.plot(xtest,ytest, color=\"red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Impact of outliers\n",
    "OLE is susceptible to outliers because of the square term in the loss function. For Bayesian regression, the issue arises because of the square term in the pdf of the Gaussian distribution. See below for alternate distributions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a42b3cf98>"
      ]
     },
     "execution_count": 171,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# adding outliers\n",
    "y[19] = -3*y[0]\n",
    "plt.scatter(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-5.093 +  0.320 * X1\n"
     ]
    }
   ],
   "source": [
    "# fit model - note that LinearRegression's fit function adds the intercept by default\n",
    "x = np.transpose(np.reshape(x,[1,len(x)]))\n",
    "y = np.transpose(np.reshape(y,[1,len(y)]))\n",
    "lr = LinearRegression()\n",
    "lr.fit(x,y)\n",
    "print(pretty_print_linear(lr.coef_,lr.intercept_))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1a42b90a20>]"
      ]
     },
     "execution_count": 176,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xtest = np.transpose(np.reshape(range(25),[1,len(range(25))]))\n",
    "ytest = lr.predict(xtest)\n",
    "plt.scatter(x,y)\n",
    "plt.plot(xtest, ytest, color=\"red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using robust regression\n",
    "The statsmodels package has a robust linear regression model function (rlm) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3.909 +  0.124 * X1\n"
     ]
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "x1 = np.transpose(np.vstack([np.ones(x.shape[0]),x.flatten()]))\n",
    "# Fit model and print summary\n",
    "rlm_model = sm.RLM(y, x1, M=sm.robust.norms.HuberT())\n",
    "w = rlm_model.fit()\n",
    "w =  w.params\n",
    "print(pretty_print_linear(w[1:],w[0]))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1a41124f98>]"
      ]
     },
     "execution_count": 178,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xtest = np.transpose(np.reshape(range(25),[1,len(range(25))]))\n",
    "ytest = w[0] + w[1]*xtest\n",
    "plt.scatter(x,y)\n",
    "plt.plot(xtest, ytest, color=\"red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Handling outliers using other distributions\n",
    "Below are some alternate distributions with less fat tail than Gaussian."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Laplace distribution\n",
    "The distribution is defined using two parameters: $\\mu$ and $b$. You can compute the <i>density</i> using the <b>probability density function</b>:\n",
    "$$p(x) = \\frac{1}{2b}\\exp\\left(-\\frac{\\vert x - \\mu\\vert}{b}\\right)$$\n",
    "\n",
    "#### Student-t distribution\n",
    "The distribution is defined using one parameter: $\\nu$ or degrees of freedom. You can compute the <i>density</i> using the <b>probability density function</b>:\n",
    "$$p(x) = \\frac{\\Gamma\\left(\\frac{\\nu + 1}{2}\\right)}{\\sqrt{\\nu\\pi}{\\Gamma\\left(\\frac{\\nu}{2}\\right)}}\\left(1 + \\frac{x^2}{\\nu}\\right)^{-\\frac{\\nu+1}{2}}$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# comparing student-t, norm, laplace\n",
    "s = np.linspace(-10,10, 100)\n",
    "df = 2.74335149908\n",
    "plt.plot(s, laplace.pdf(s),'r-', lw=2, alpha=0.6, label='Laplace pdf')#assuming b = 1 and \\mu = 0\n",
    "#plt.plot(s, t.pdf(s,df),'b-', lw=2, alpha=0.6, label='Student-t pdf')#nu = df\n",
    "plt.plot(s, norm.pdf(s,0,2),'k-', lw=2, alpha=0.6, label='Gaussian pdf')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Demonstrating Non-linear Regression\n",
    "Also how to control the overfitting using Ridge Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a1ce89320>"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#generate some data\n",
    "X = np.arange(20)\n",
    "#X = X[:,np.newaxis]\n",
    "w = np.array([-3.8,0.11])\n",
    "y = w[0] + w[1]*X\n",
    "sigma2 = 0.05\n",
    "y = y + np.random.normal(0,sqrt(sigma2),X.shape[0])\n",
    "plt.scatter(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1a1d0fbe48>"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.RandomState(0)\n",
    "# Generate sample data\n",
    "np.random.seed(0)\n",
    "n_samples = 30\n",
    "true_fun = lambda X: np.cos(1.5 * np.pi * X)\n",
    "X = np.sort(np.random.rand(n_samples))\n",
    "y = true_fun(X) + np.random.randn(n_samples) * 0.2\n",
    "X = X[:,np.newaxis]\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "X2 = X**2\n",
    "X3 = X**3\n",
    "X4 = X**4\n",
    "Xhat = np.hstack([X,X2,X3,X4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "' 0.588 + -1.714 * X1'"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lrmodel1 = LinearRegression()\n",
    "lrmodel1.fit(X,y)\n",
    "pretty_print_linear(lrmodel1.coef_,lrmodel1.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "' 1.115 + -0.607 * X1 + -13.005 * X2 + 15.814 * X3 + -3.270 * X4'"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lrmodel2 = LinearRegression()\n",
    "lrmodel2.fit(Xhat,y)\n",
    "pretty_print_linear(lrmodel2.coef_,lrmodel2.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a1a8bc048>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nO3deXxU1f3/8ddkIwQIhDWEbBMghyQsQtgTRBYBk6BW26pdsf6+VQqtbdVvbWm1X7X9drelxnTT2tbaWvXbKmFTESPBpRiqVAgHMcmIAuISAQUUkN8fM7EQs05mMvdm3s/Hg8fwuDNn8jmZybznnHvuvZ5Tp04hIiLiNjGRLkBERCQYCjAREXElBZiIiLiSAkxERFxJASYiIq6kABMREVdSgImIiCspwERExJUUYCIi4koKMBERcSUFmIiIuJICTEREXEkBJiIirqQAExERV1KAiYiIKynARETElRRgIiLiSgowERFxJQWYiIi4kgJMRERcSQEmIiKupAATERFXUoCJiIgrKcBERMSVFGAiIuJKCjAREXElBZiIiLiSAkxERFxJASYiIq4U110/yBgTB1QB/7bWXtXOYycBNa3cPdpauzvU9YmIiLt0S4AZY/oAdwMzgX93oMmkwG0ZcLDZfa+EsDQREXGpsAeYMaYE+BkwuBPNCoH91trV4alKRETcLqz7wIwxA4BKYBswoRNN25pCFBERCfsI7AhQYK2tBTDGtNsgsK9sPPC0MeYJYDLwPrAGuNZauzd85YqIiFuENcCste8DtZ1slg8kAnnAN4EVwETgBuBJY8wka+1b7T1JTU3NqU7+XBERAQoLCz2RrqEjum0VYic0AIuAndZaX2DbJmPMNmAjsBy4qSNPlJSUFFQBx44dIzExMai2bqU+Rwf1OTp0pc9HjhwJcTXh47gAs9YeAta3sP1xY8xB/KOxDsnLywuqhtra2qDbupX6HB3U5+jQlT7X1Lhn+YHjAswYMxEoBv4QCLOm7TFAL+D1SNUmIiLO4cQzceQCK4FLmm2/BP++sUe7vSIREXGciI/AjDGjgWHAFmvte8A/gH8CtxpjBgLPAdOA64FHrbV/i1ixIiLiGE4Yga0ANgHDAQIhtgj4DfBF4CHgcuDnwAURqlFERBymW0dg1tqPLM201i4BljTb1gh8PfBPRETkI5wwAotaPp+PqqoqfD5f+w8WEZEzRHwfWLSqqKigvLycEydOEBcXx7Jly1i6dGmkyxIRcQ2NwCLA5/NRXl5OY2Mjhw8fprGxkfLyco3EREQ6QQEWAQ0NDZw4ceKMbSdPnlSAiYh0ggIsArKzs4mLO3P2NjY2lqysrAhVJCLiPgqwCMjKymLZsmWkpKSQnJxMSkoKy5cvV4CJiHSCFnFEyNKlSykpKcHn85GVlaXwEhHpJAVYBCm4RESCpylEERFxJQWYiIi4kgJMRERcSQEmIiKupAATERFXUoCJiIgrKcBERMSVFGAdpEufiIg4iw5k7gBd+kRExHk0AmuHLn0iIuJMCrB26NInIiLOpABrhy59IiLiTAqwdujSJyIizqRFHB2gS5+IiDiPAqyDFFwiIs6iKUQREXElBZiIiLhSt00hGmPigCrg39baq9p5rAf4OnAVkAHsAW4Hfm6tPRXuWkVExPm6ZQRmjOkD3AfM7GCTW4AfAQ8AFwPrgJ8BK8JSoIiIuE7YR2DGmBL84TO4g49PA64FbrXWXh/YvNoYEwOsMMbcZq19OzzVioiIW4R1BGaMGQBUAtuACR1sNh9IAP7abPufgURgYcgKFBER1wr3COwIUGCtrQUwxnSkTX7gtrbZdhu4LQhNaSIi4mZhDTBr7ft8NIjaMwA4aa19t9n2Q4Hb/l0uTEREXM+JBzLHAC2tNGza9kFHn6i2trPZ6Xfs2LGg27qV+hwd1OfoEC19dmKANQJxxpgka+2R07Y3jbwOdvSJ8vLygiqgtrY26LZupT5HB/U5OnSlzzU1NSGuJnyceCBz09eG3Gbbm3agbe/GWkRExKGcGGDrgJPAZc22fxo4Cmzs9opERMRxIj6FaIwZDQwDtlhr37PW7jfG/BK4LnD2jseARcCXgBustW9EsFwREXGIiAcY/rNrfB7wAg2BbdcCbwFXAMsAH3C1tXZlJAoUERHn6dYAs9Z6Wti2BFjSbNtJ4ObAPxERkY9w4j4wERGRdinARETElRRgIiLiSgowERFxJQWYiIi4kgKsm/h8PqqqqvD5fJEuRUSkR3DCcWA9XkVFBeXl5Zw4cYK4uDiWLVvG0qVLQ/LcPp+PhoYGsrOzycrKCslzioi4gUZgYebz+SgvL6exsZHDhw/T2NhIeXl5SEZiFRUVlJaWcuWVV1JaWkpFRUUIKhYRcQcFWJg1NDRw4sSJM7adPHmyywEWzmAUEXEDBViYZWdnExd35kxtbGxsl6f7whWMIiJuoQALs6ysLJYtW0ZKSgrJycmkpKSwfPnyLgdYuIJRRMQttIijGyxdupSSkhJ8Ph9ZWVkhCZmmYCwvL+fkyZPExsaGJBhFRNxCAdZNQhVcpwtHMIqIuIUCzOUUXCISrbQPTEREXEkBJiIirqQAExERV1KAiYiIKynARETElRRgIiLiSgowERFxJQWYiIi4kgJMRERcSQHWzNH3TtCw/ygffHAq0qWIiEgbFGDNvPr6O/x23Sss/eEGHnriJd49ejyi9fh8PqqqqnSZFBGRZsJ+LkRjzAzg+0AhcBxYA1xnrd3fRptJQE0rd4+21u4OeaEBo9IHsOKyHPYcTGRVdR13r6tlTmEGZcU5ZAzrF64f26KKigrKy8s5ceIEcXFxLFu2jKVLl3ZrDSIiThXWADPGnAU8CmwBPg8MBW4BJhljJllr32ul6aTAbRlwsNl9r4Sj1tMl9YrlwtmjWDxrJDU7X6NyUx3LfvwYE0YNoazYy+T8VGJjPGGt4fQrLjcpLy+npKREJ+8VESH8I7CbgbeARdbaYwDGmK3AP4HLgV+10q4Q2G+tXR3m+toUG+Nhan4qU/NT2fPaYVZvruen99SQ3KcXJTO9LJiWSd+khLD87LauuKwAExEJ4z4wY0wCMB94sCm8AKy1W4AXgQvaaN7WFGJEZAzrx1UXjeeuGxZy/tk5rH+6gSU3P8xt9z2Hb9+hkP88XXFZRKRt4RyB5QCJQG0L91lgQkuNjDFxwHjgaWPME8Bk4H38+86utdbuDU+5HZOUGM/5s0ZSVpTDv3YdoLK6ni//dCNjcwZTVuxlWkEqsbFd/16gKy6LiLQtnAE2IHDbfB8WwCGgfyvt8vEHXx7wTWAFMBG4AXgysO/srRDX2mkxMR4KxwyjcMww9r7xDqs31/OLe/9Fn97xnDcjmwXTsujft1eXfoauuCwi0rpwBljTMKS1A6o+aGV7A7AI2GmtbVo7vskYsw3YCCwHbupIAbW1LQ3+2nfs2LFOty3OjWOKN5utLx5i3ZMvcc/6nZw1sh9F+QMYMTgxqDqaDBkyhCNHjgTdn44Ips9upz5HB/W55wpngDUtn2tppJVMyyMzrLWHgPUtbH/cGHMQ/2isQ/Ly8jr60DPU1tYG3fas8XD5RafY9uIbrKqu45cPvozJGsjiWTnMGDecuBBML4ZDV/rsVupzdFCfO6emxlHLD9oUzgB7Cf9xX7kt3GeA7S01MsZMBIqBPwTCrGl7DNALeD30pYaWx+NhQu4QJuQOYf+b77LmyQZuv/957njoBc6bkc3C6dkM6Ne16UURkWgXtuGAtfZ94BHgQmNM76btxpgpwGj8izJakgusBC5ptv0S/PvGHg19teGTOqgPX1hcwO9vWMBlCwzVz+/l8psf5mf31LDr5cb2n0BERFoU7uPAbgSeBDYYY34KDMR/Vo4dwB0AxpjRwDBgS+DA5n/gP07sVmPMQOA5YBpwPfCotfZvYa45LBIT4lg43b+444WX3mRVdR3XrXyC0RkplBV7KZowgvg4Z04viog4UVg/Ma21zwIL8C/kuBv4HrAWmHfasWErgE3A8ECb9/Av4vgN8EXgIfwHPf+cto8dcwWPx8O4UYP51pKp/HbFuYwfPZjf/OMFvnDLw/x53U7eOnSs/ScREZHwnwvRWvs4UNTG/UuAJc22NQJfD/zrsYamJPG5knwuOdew6V+vUrm5jvs27KJofBplxTmMyU7B4wnvKatERNwq7AEm7esVH8v8qZnMm5JBbcNbVFbX883bq8lOS6asKIezJ44gIT420mWKiDiKAsxBPB4P+d5B5HsH8ebBo6x9qoE/rN7B7yu3s3B6FufN8DIkpXe7zyMiEg0UYA41qH9vPrMoj0vm51L9/F4qq+t4YONupo9NZXFxDgU5gzS9KCJRTQHmcPFxscwpzGBOYQa7Xm5kVXUd3/n1k6QP7UdZcQ6zJ40gMUEvo4hEH33yuUhuZgrXfKqQLywuYP3TPu5ZX8tdlds5d1oWpUVehg1MinSJIiLdRgHmQin9Ern0XMPFc0bz1L/3Ulldz4NVu5mS759eHD96sKYXRaTHU4C5WHxcDGdPTOfsiensfuVtKqvr+J87niZ1UB/Kir3MKcygdy+9xCLSM+nTrYcYlT6Ar146icvLCnj4GR/3PbqLP67ewbypmZQWeUkb3DfSJYqIhJQCrIfp37cXn5iXy0XnjOLp7ftZtamOq36wgcIxwygr9jIxdygxMZpeFBH3U4D1ULGxMRSNT6NofBr1ew9SWV3P9+/awpABiZQW5TBvSgZJifGRLlNEJGgKsCjgTevPlz95FkvK8nnkGR//eOIl/rR2B/MmZ1Ja7CV9aL9Ilygi0mkKsCjSLymBi+aM5oLZo9iyYz+V1XV86UePcdboIUzIjseYU5peFBHXUIBFodgYD9PHDmf62OG8vP8QlZvruecxH+tqHqW0yMv8qVn07a3pRRFxNgVYlMtMTeZLF09g+shY9hzqzerqeu5et5M5hRmUFXvJSk2OdIkiIi1SgAkAvXvFcsHZI1lcnMNWe4BVm+r48k82Mm7kYMqKc5hakEqsphdFxEEUYHKGmBgPk/OGMTlvGK8cOMzqzfXc+pet9E2Kp3Sml3OnZZHcJyHSZYqIKMCkdelD+3Hlx8bz2fPyeOzZPVRW13PP+p3MnpTO4lk5eNP6R7pEEYliCjBpV1JiPGXFOZTM9PLci69TWV3H1T97nHzvIMqKvUwfO5y42JhIlykiUUYBJh0WE+NhkhnKJDOUfW+8y5on67ntb8/xuwdf4LyZ2Syank3/vr0iXaaIRAkFmARl+OA+XHH+WD69cAwbt75CZXUdf314F2dPHMHi4hxGZQyIdIki0sMpwKRLEnvFcd6MbBZNz2Lb7jdYvbmea35RRW5mCmXFOcwcn0Z8nKYXRST0FGASEh6PhwmjhzBh9BAOvHWENU/W8+u/b+OOh17wB9yMbFKSEyNdpoj0IAowCbmhA5NYUlbAZQvHUBWYXvzbhl0UjR9B2SwvJjNFF9wUkS5TgEnY9IqPZcG0LM6dmsmO+rdYVV3HN26rJmdEfxYXe5l11gji42IjXaaIuJQCTMLO4/FQkDOIgpxBvPH2UdY+1cCdq7Zz56rtLJyeTcnMbAb17x3pMkXEZcIeYMaYGcD3gULgOLAGuM5au7+NNh7g68BVQAawB7gd+Lm19lS4a5bwGTygN589L49L5udS/fyrrKqu5/7HXmTGuOEsLs4h3ztQ04si0iFhDTBjzFnAo8AW4PPAUOAWYJIxZpK19r1Wmt4CXA/8GNgELAJ+BvQJ3CculxAfy9zJmcwpzMC+3MiqTXWsqNhMVmoypcVeZk9Kp1e8phdFpHXhHoHdDLwFLLLWHgMwxmwF/glcDvyqeQNjTBpwLXCrtfb6wObVxpgYYIUx5jZr7dthrlu6icfjYUzWQMZkDeSK84+x7qkG7l5by12V21kwLYuSIi9DU5IiXaaIOFDYDtAxxiQA84EHm8ILwFq7BXgRuKCVpvOBBOCvzbb/GUgEFoa+WnGCgcmJfGrhGO749gK++LHxvFD3Jv/1vUf4/l3/ZNvu1zl1SrPHIvIf4RyB5eAPnNoW7rPAhFba5Qdum7ezgduCrpcmThYfF8M5k9I5Z1I6L+5ppLK6nht/8zQjhvShtDiHOZPSSeyl9UcSvXw+Hw0NDWRnZ5OVlRXpciImnJ8CTecSOtjCfYeA1k5lPgA4aa19t4U2tNFOeqDRGSl87bIULi8rYP0zDdz7iOUPq3dw7tRMSou8pA7qE+kSRbpVRUUF5eXlnDhxgri4OJYtW8bSpUsjXVZEhDPAmqYnW5v3+aCNdi21adrWWruPqK1tafDXvmPHjgXd1q3c0OfxI6Dg4gy2N7zD5h17ebDqJcZk9KGoYACjRyR1evWiG/ocauqzu+3du5eVK1dy6NChD7etXLmS3Nxc0tLSPtzWk/rclnAGWGPgtqURUzItj8ya2sUZY5KstUdO2970PK21+4i8vLyOPvQMtbW1Qbd1Kzf1eWwBXFIKda8epLK6jj8++gpDByZRVuRlzuQMkhLjO/Q8bupzqKjP7nbgwIEW9wXHx8ef0ceu9Lmmpibo+rpbOAPsJfzHfeW2cJ8BtrfSrulrQy7wXLM2tNFOokzOiP585ZKJLCkr4JFnfDzw+G7+uLaWeVP804sjhvTt8HNpn4K4QXZ2NnFxZ35sx8bGRu17NmyrEK217wOPABcaYz48zYIxZgowGv8BzS1ZB5wELmu2/dPAUWBj6KsVN0vuk8DFc0fz22/O56uXTsS37xBLf7iBG3/7FM/WvsYHH7S9erGiooLS0lKuvPJKSktLqaio6KbKRTonKyuLZcuWkZKSQnJyMikpKSxfvjxqAyzcS7luBJ4ENhhjfgoMxH9Wjh3AHQDGmNHAMGCLtfY9a+1+Y8wvgeuMMXHAY/gPZP4ScIO19o0w1ywuFRsbw4xxacwYl4Zv3yEqN9fzgz9uYWByImVFXuZNyaRP7zOnF30+H+Xl5TQ2Nn64rby8nJKSkqj9UBBnW7p0KSUlJfh8PrKysqL6fRrWALPWPmuMWQB8D7gbOAysBf77tGPDVuA/S4cXaAhsuxb/AdBXAMsAH3C1tXZlOOuVniNreDLLPj6Bz5fk8eiWl1lVXcef1tYyZ3IGZUVeMlOTAWhoaODEiRNntD158uSHHw4iThTtwdUk7AfTWGsfB4rauH8JsKTZtpP4z+JxcxhLkyjQNymBC2ePYvGskdTsfI3KTXUs/8lGxo8azFnZCRSarI/sUwDYv3+/QkzE4XQ0qESF2BgPU/NTmZqfyp7XDrN6cz1/ebyBtTVvc96n/pv19/2S48fe4f333+f48ePccMMNUX+MjYjTKcAk6mQM68dVF41n2sgY9hzqzepqD6MWfIfsgSfY8MBK3nj1xQ8fq/1hIs6lAJOolZgQy/mzRlJWlMO/dh3gDw8+S0bx1aS8vpvXdz3O269u0/4wEQdTgEnUi4nxUDhmGIN7j+WCT3yWhKFnkTX1s6QfP8o7r25h0NARkS5RRFoQtuPARNwmKyuLKy+/jCMNj9Gw8X855NtE5ti5fOf3O/j5X7ey+xVdxUfESTQCEzlN82NsMjMz2fbiG6yqruOan1dhsgayuDiHGeOHExer738ikaQAE2mm+TE2E3KHMCF3CK+9dYQ1m+u5/YHn+d1DL3DezGwWTs8ipV9iBKsViV4KMJEOGjYwicsXF3DZQkPV1leprK7j3kd2UXxWGouLc8jNTIl0iSJRRQEm0kmJCXEsnJ7FgmmZvFD3JpXVdVz3y02MSu9PWXEOxRPSiI+LjXSZIj2eAkwkSB6Ph3EjBzNu5GBebzzK2qfq+e0/XuDOVdtZOD2L82ZkM6h/7/afSESCogCTHq87LpUyJKU3nyvJ59JzDU/861UqN9dx/4YXmTk+jbJiL3nZAzt9wU0RaZsCTHq07r78ekJ8LPOnZjJvSgY7GxqprK7jW7dvJmt4MouLczh74ggS4jW9KBIKCjDpsSJ5qRSPx0OedyB53oF84eBR1j7VwB/W7ODOVdtZNCOL82Z4GZKi6UU5ky6s2jkKMOmxnHKplEH9e/OZRXlcMj+Xzc/vpbK6ngc27mb62FTKinMYmzNI04vS7bMFPYECTHosp11+PT4ulnMKMzinMINdLzeyqrqOG379JOlD+1FW7GX2pHQSE/QnGY10YdXg6FQC0mM5+fLruZkpXPOpQu78zgKKJqRxz/qdXH7Tw9y5ajuvvXUk0uVJkHw+H1VVVfh8vk61a2u2QFqnr3vSozn98usp/RK59FzDx+eO5qlt+1hVXceDVbuZkp9KWbGXCaOHaHrRJboyBdjebIH2jbVMASY9nhODq7m42BhmTRzBrIkj2P3K26yuruemO54hdVASpUU5zJ2cQe9e+nN1qq5OATbNFpSXl3Py5EliY2M/nC3QvrHW6S9CxGFGpQ/g6ksnsqQsn4ef8XH/hl38ac0O5k3NpLTIS9rgvpEuUZoJxYKhlmYLtG+sbQowEYfq37cXn5iXy0XnjOLp7fuprK7jqh9soHDMMMqKvUzMHUpMjKYXnSBUC4aazxY4ZSWtUynARBwuNjaGovFpFI1Po37vQVZvruf7d21hcP9ESou9zJ+SSVJifKTLjGptTQF2hdNW0jqNAkzERbxp/Vn+ibP4fGk+jzzzMg8+Ucfda2uZO9k/vZgxrF+kS4xa4VgwFK5g7CkUYCIu1C8pgYvmjOKC2SN5dsd+KqvrWfbjx5gwegiLZ+VQOGYYsZpe7HbhWDDk9JW0kaQAE2mHk5cwx8Z4mDZ2ONPGDmfPa4eprK7jx396lgH9elFa5GX+1Cz69o6u6UUnv17BUnC1TAEm0gY3LWHOGNaPpRdP4HMl+WzY8jKVm+u5e91O5hRmUFbsJSs1OdIlhl1Lr9c555wT6bIkTMIaYMaYEcCPgHOBPsAzwDestVvaaecBGoH+Ldz9X9ba34W6VpHm3LqEuU/veM4/eyRlxTlstQeorK7jyz/ZyLiRgzkrO55cc6pHTi+29nrl5uaSl5cXwcokXMIWYMaYPsBGIBG4DjgCfAPYaIyZbK3d2UbzkfjD6zvA483uezH01Yp8lNuXMMfEeJicN4zJecN49fV3WL25nnurGlhb8wglM70smJZFcp+ESJcZMq29Xvv27YtQRRJu4RyBXQWMBsZZa18AMMasA3YB3wUubaNtYeD2PmutDWONIq3q6BJmN+xzGTGkL1+8cBxTvDHsPdybys31/GX9TmZPSqesOIecES1NdrhLa6/X8OHDI1SRhFs4T+ZbCmxvCi8Aa+1hYBVQZoxp62dPAg7jDzuRiOjIyYArKiooLS3lyiuvpLS0lIqKighW3L7EhBhKi3O4/b/n8u0vTOPgO+/z1Vsf5/ryajY99yonTn4Q6RKD1trrlZaWFunSJEzCOQLLBza1sN3i3x+WDdS10rYQeBO41xgzP/D4J4FvWmufDn2pIi1rawmzW/eRgf+CmxPNUCaaoex/811Wb66n/L7nuOOhFzhvRjYLp2czoF+vSJfZaS29XrW1tZEuS8Kk0wFmjDnVzkM+Zq39BzAAONjC/YcCt23NWUwEkoHfA78E0oFvAVXGmHOstU91rmqR4LW2hNnt+8iapA7qwxXnj+XTC8ewcesrVFbX8ddHdnH2xBGUFXsZnZES6RI7RUvOo0cwI7Dr2rm/acowBmgr7FqcqwhMLV4EvGutffa07Y8AO4HvAXM7Umiw37yOHTsWdd/a1OfOO3HiRIuXOjl+/Lhjf5ft9Tl7ACwrTeWlfUd5cnsj1/xiDxlDEinKH8A4bz/iYt23elHv7Z6r0wFmrf1JBx/a2jL4poNRWhqdYa39AKhqYfsbxpjNwNkd/PlBL52tra2NumW36nPn5eXl8ZWvfOUjp/mZN29eCKsMrY72OT8fFs+DA28dYc2T9VQ+42NdTSOLZmSzaEY2A5MTu6Ha0NB7u3NqampCXE34hHMfWC2Q28J2g3+Bxp6WGhljhgMXAJustdub3Z0EvB7KIkW6oqef5mfowCSWlBVw2cIxPLH1FSqr67lvwy5mjk9jcXEOJitFF9yUiAlngK0GfmiMKWgKImNMP+B8YL219mQr7U4BtwN/AT7dtNEYkwMUAXeFsWaRTuuJwdVcr/hYzp2Wxfypmeyof4tV1XV8o7yanLRkFs/KYdZZI4iPi410mRJlwhlgvwKWA48YY76Nf/HG9fhXFN7Y9CBjzFD8I7Vd1toD1tr9xpiVwNXGmIPAQ0Am/oOa38Z/DJmIRIDH46EgZxAFOYN44+2jrHuqgTtXbefOVdtZOD2b82ZkM3hA70iXKVEibMeBBY75mo1/+futwJ34A2iutXbHaQ8twb/cvuS0bdcAXwaKgQfwL9x4HJhurT0QrppFpOMGD+jNZ87L485vL+ALiwvYag9wxfce4Qd/3ML2ujc5daq9BcsiXRPWcyFaaxuAj7fzmLtoNi0YmF68LfBPRBwsIT6WuZMzmVOYgX25kcpN9Xz7V5vJGNaPsuIcZk9Kp1e8phcl9HQ2ehEJCY/Hw5isgYzJGsgXDhWw/qkG7l5by12V21kwLYuSmV6GDkyKdJnSgyjARFzOiediHJicyGULx/Dxebk8uW0vldV1/P3x3UwbO5yyYi/jRg7W6kXpMgWYiIs5/Xpl8XExzJ6UzuxJ6eze8zarquu48TdPM2JIH0qLc5gzKZ3EXtH3MeTELx1uFM6T+YpIGJ1+LsbDhw/T2NhIeXk5Pp8v0qW1aFTGAL522STuumEBZ09M595HLEtufpg7HnqB/W++G+nyuo3bTgDtZAowEZdq61yMTta/by8+OT+X3604l+WfmMCLe97mi//7KDfd8TRb7YEevXrRbV86nC76xu4iPURHr1fmVHGxMRRPGEHxhBHU7z1IZXU937vzGYYOTKK0yMvcyRkkJcZHusyQ6ikngHYKjcBEXKoj1ytrbu/evVRVVTnuG783rT9f/uRZ3HXjQuZPyeTvj+9myU0P8+u/b+PV19+JdHkh4/YvHU6jEZiIi3XmXIwVFRWsXLmSU6dOOXLBB0C/pAQunjuaC88ZxT+376eyuo6lP9zAxNyhlBV7KRwzjJgY965ebPrS0fwE0Aqw4CjARFyuI+dibAKZIhsAABARSURBVNr3cujQoQ+3Ofnim7ExHmaMG86MccPx7T/E6up6fvinZxmYnEhpkZf5UzLp09ud04s9/QTQ3UkBJhIF3LzvJSs1mS99fAKfK83n0X++TGV1HXevrWXO5AzKirxkpia3/yQOo+AKDQWYSBToCfte+vaO58LZIzl/Vg41O1+jsrqe5T/ZyPhRgykrzmFKfiqxLp5elM5TgIlEgaZ9LytXrgRw9b6XmBgPU/JTmZKfyisHDrO6up6f3VNDvz69KJ2ZzbnTsuiXlBDpMqUbKMBEosTSpUvJzc0lPj6+x0xhpQ/tx5UXjeezJXls2LKH1Zvr+PN6y5zCdMqKc8ge3rHpRZ0Zw50UYCJRJC0tLehLzTtZUmI8i2flUFrk5bldr7Oquo6v/HQjBTmDmJidQG7uB8TGtnzUkNNPxyWtU4CJuIRGCe2LifEwacxQJo0Zyt433mHN5gbu21TP2ppHKZmZzYJpWfTv2+vDx59+Zowm7a3O1OvgHAowERfQKKHz0gb35f9dMJbJXg9730misrqevzxsOXviCMqKcxiVPqDTqzP1OjiLAkzE4YIZJch/9IqPoWSml/NmZLPtxTdYVV3HNT+vwmQNZPqY/sTFn7ngo7XVmXodnEcBJuJwbj6Gy0k8Hg8TcocwIXcIr711hDWb67mvyseY877L/p0bedv3NJw82urqTL0OzqMAE3G4nnAMl9MMG5jE5YsLuGyhoWrrq/x9Yx/2m/lMGp3C3EXjWmyj18F5dDJfEYcL5qS90jGJCXEsnJ5FxfULuOWqIuJ7JXLdLzdxzS+q2Fizh+MnTn74WL0OzqMRmIgL6Px54eXxeBg7cjBjRw7m9cajrH2qnt89+AJ3PrSdhTOyOG9GNoP699br4DAKMBEX0NLtzmv6nZ04caJTx74NSenN50ryufRcw6bnXqWyuo77N7zIzPFplBV7ycvO1GvgEAowEYfT0u3OO/135vF4+MpXvtLp31lCfCzzpmQyd3IGOxsaqayu41u3byZreDKLi72cPTGdhPjYMPVAOkL7wEQcTJeg77zmv7NDhw516Xfm8XjI8w7kus9O5o5vn8vU/FT+sKaWJTc9zB/X7OD1xqMh7oF0VLeNwIwxPwLOt9aO6eDjS4AbgbHAYeA+YIW19lCbDUVcqqVpQi3d7rxw/s4G9e/NpxeN4ZPzR7P5+b1UVtfzwMbdTB+bSllxDmNzBuHx6Iz43aVbAswY803gOsB28PGLgIcC/24BcoGbgDxgfpjKFImY1qYJtXS787rjdxYfF8s5hRmcU5jBrpf904s3/Pop0of2pazYy+xJ6SQmaA9NuIV1CtEYU2CMWQvcDBzsRNMfA1uBi621q6y1PwWWAPMC4SbSY7Q1Tail253X/HeWnJwc1t9ZbmYKX/9UIXd+51yKJ6Rxz3rLkpse5s5V29n/5rth+ZniF+6vCH8GjgPFwA+A1PYaGGMy8U8bXmetPXXaXf8A3gUuANaFvlSRyGhvyktLtzvv9N/Z8ePHmTdvXth/Zkq/RC4513Dx3NE8tW0fq6rreLBqN1PyU1lcnMP40YM1vRhi4Q6wz1trnwcwxnS0TX7gtvb0jdba48aYeqAgdOWJRF5HprwUXJ3X9Durra1t/8EhFBcbw6yJI5g1cQQvvfI2ldX1/M8dT5M6KInSohzmTs6gdy9NL4ZCp3+LxphT7TzkY9bafwA0hVcnDQjctjTleAjoH8RzijhW05RXeXk5J0+edPXVkuVMI9MHcPWlE1lSls/Dz/i4/7EX+eOaHcyfkklpsZe0wX0jXaKrBfM14Lp27n8hmEJO07RfrrWg/KCjTxTsN69jx451+7e2SFOfI+ucc84hNzeXffv2MXz4cNLS0sJSm5P63F2c0uexaZB3UTo7fO+wecc+Vm2qIzc9ieKCFEanJxETwulFp/Q53DodYNban4SjkNM0XaugpZFWMvBmR58o2CvP1tbW9sir1rZFfY687qjFaX3uDk7r89gC+GQJ1O89yOrN9fzpsVcY3D+R0mIv86dkkpQY3+Wf0ZU+19TUdPnndxcnHsjc9LUh9/SNxph4IAfY3u0ViUQxn89HVVWVDp4OMW9af5Z/4izuumEBC6dn8+ATdSy5aT2/+r9t7HntcKTLcwXH7Um01jYYY3YAlxhjVlprm6YMLwSSgDWRq04kevh8Pm677TYqKys5deqUTmMVJv2SErhozigumD2SmtrXWFVdx7IfP8aE0UNYXJxDYd4wYmO0erElEQ8wY8xQ/KOtXdbaA4HNK4C/Aw8aY34LjMJ/LNkGa+3qyFQqEj0qKipYuXIlhw6deeIbXYE4fGJjPEwtSGVqQSp7XjtMZXUdP777Wfr37UVZsZf5U7Po27vr04s9iROmEEuATYFbAAKrGD8OZAB/A64B7gQ+FokCRaJJ04HVzcML/nN8moRXxrB+LL14AnfdsJDzZ+Ww5skGlty0nvL7n8e3T2fTa9JtIzBr7TmtbL8LuKuF7Q8AD4S1KBH5iJYOrG6i01h1rz694zn/7JGUFeew1R6gsrqOL/90I+NGDqas2MvU/FRiY50wDomMiE8hioiztHRgNUD//v11fFqExMR4mJw3jMl5w3j19XdYvbmeW//yL/omxVMy08uCaVkk90mIdJndTgEmImdofmA1wOLFi1m2bJnCywFGDOnLFy8cx2cWjWHjs3uo3FzPX9bvZPakdMqKc8gZET3nelCAichHuOn8i9F6teqkxHhKi3MoKfLy3K7Xqayu56u3Ps64kYP5ZNGA9p+gB1CAiUiLnB5coKtVg/+CmxPNUCaaoex/81227HiN2NhjkS6rW0Tv3j8RiZhQHBytq1V/VOqgPiyelRM1x40pwEQcpqef+aKiooLS0lKuvPJKSktLqaioCOp52roMjUQHBZiIg4Tqw92pQjlqam21pNOnPSV0FGAiDhENU2KhHDU1rZZMTEz8cNvx48dZs0Znm4sWCjARh4iGKbGOXLyzM0pKSkhI+M/xT0ePHu1xoS+tU4CJOESoP9ydqGnUlJKSQnJyMikpKV06OLqhoYFTp868dGBPC31pnZbRizhEtFyZOZTHmEVD6EvrFGAiDuKmA4i7IlR9i5bQl5YpwEQcpicHVzhES+jLRynARMT1FFzRSYs4RETElRRgIiLiSgowERFxJQWYiIi4kgJMRERcSQEmIiKu5Gl+Gpaeoqampmd2TEQkzAoLC11xQbEeG2AiItKzaQpRRERcSQEmIiKupAATERFXUoCJiIgrKcBERMSVFGAiIuJKUXc5FWPMDOD7QCFwHFgDXGet3d9GGw/wdeAqIAPYA9wO/Nxa6/jjEILsczLwTeAi/H1+FVgF/I+19mDYi+6iYPrcrH0sUAWkW2uzw1VnqATbX2PMEuBqYAzQCKwDvmmtfS2sBYdAkO/rXsB/A58FRgAvA78DfmGtPRH2okPEGBOH//35b2vtVe081tWfX22JqhGYMeYs4FHAA3we+BawCNgQeGO35hbgR8ADwMX4/8h/BqwIa8EhEEyfAx/efwe+BNwBXAj8BrgCeMIYk9ANpQetC6/z6VYAReGpMLSC7a8x5nrg98BTwAXA9wK36wLvAcfqwmt8G/Bd4G/4v5w9gP9v+4fhrDeUjDF9gPuAmR1s4trPr/ZE2wjsZuAtYJG19hiAMWYr8E/gcuBXzRsYY9KAa4FbrbXXBzavNsbEACuMMbdZa9/uluqD0+k+A3OAucBnrbV3B7Y9bIzZB/wJOB+4P9yFd0Ewff5Q4Jv9CvyjTjcI5n09HLgJ+Im19rrA5oeNMW8APwXGA//qhtqDFUyfE4ElwB+std8ObF5vjMkElhljrrfWHu+O4oNljCnBHz6DO/h4t39+tSlqRmCBUcN84MGmNzyAtXYL8CL+b54tmQ8kAH9ttv3PQCKwMPTVhkYX+nwS/zfzdc22/ztwmx7iUkOmC31uat8PuBv/h/gLYSw1JLrQ348D8fg/DD9krb3XWpturXVseHWhzwlALND8A/sA0AvoG/pqQ8cYMwCoBLYBEzrYzLWfXx0RTSOwHPwvWG0L91laf0PkB26bt7OB24KulxY2QfXZWrsR2NjCXRcHbp8LSXXhEezr3OR2/B9wN+Lf5+d0wfZ3Ev4P7hHGmLvxT5e+B/wf8HVrbWMYag2VYN/Xh4wxvwGuMMY8AmwGZgD/Bdzv8D4DHAEKrLW1AMaYjrRx8+dXu6JmBAYMCNy2tADhENC/jXYnrbXvttCGNto5QbB9/ghjzFz8O78ftdY+3vXSwiboPhtjLsMf0p92+lTSaYLt7zD8IbAOeAL//qMb8e8XetQYEx/iOkOpK+/rFcBW/As+DuLv/7/wTy06mrX2/abw6gQ3f361K5pGYE1h3dqqmw/aaNdSm6ZtrbVzgmD7fAZjzEX4p9V2A5eFoK5wCqrPxphsoAK41lq7Mwx1hUuwr3ECkIx/tHVrYNvjxpjX8b/Wn8Q/zeREwb7Gg/HvI+sHfBn/VFwB8B3gMWPMAjessO0kN39+tSuaAqxpeqClbxzJtPxtrqldnDEmyVp75LTtTc/j5Dd8sH0GPlx++138f+BPA+dba98IZYFh0Ok+B1bc3Q08A/wmsEQZ/CvcmpYsf2CtdeIfe7CvcdM38AebbV8duJ2McwMs2D7/P8ALzA1Mk4N/Ve1m4Hnga/jf7z2Jmz+/2hVNU4gv4T9WJLeF+wywvZV2TUP25u2aJqBba+cEwfa5aUf534AbgHvx/9E7PbwguD5n4N8HtCDQtunfAiAr8P87w1FsCAT7GjftA0lstr1pCfoRnCvYPnvxjzw2nb7RWrsN/4rGji6McBM3f361K2oCzFr7PvAIcKExpnfTdmPMFGA0/jnxlqzDvyqv+dTZp4GjtLzYwRGC7XNg5HUv/pVq37XWXnb6ai8nC7LPe4EpLfx7CtgX+P93w1p4kLrwvn4ocPv5ZtubFur0uPc1/g9rDzD79I3GmPHAQPxT5D2Naz+/OiKqLmhpjJkMPAk8i3+Z9ED8R/IfAAqttceMMaPx7+DeYq19L9DuVvxnK7gVeAz/Du/lwA3W2pu7vSOdEEyfjTFX4D87wXr8B0E212CtfaVbOhCEYF/nFp5nHTDG6Wfi6ML7+k/4P8huxf9aT8Y/XbwRKHXyWRqCfF/3AbYEtt2Cfx/YGP5zQG+htXZf9/YkeMaYU8CvTz8TR0/7/GpP1IzAAKy1z+KfFjqFf5/H94C1wLzTRhgr8E8xDD+t6bX4V2hdjP9o9gXA1W548YPs8yWB24WB7c3/faZbig9SF15nV+pCf5cA3wDK8B8ysBT4BXCRk8MLgutzYCVeMfAX4Br8I7Wv4d8PeJabwqsNPerzqz1RNQITEZGeI6pGYCIi0nMowERExJUUYCIi4koKMBERcSUFmIiIuJICTEREXEkBJiIirqQAExERV1KAiYiIKynARETElRRgIiLiSgowERFxJQWYiIi4kgJMRERcSQEmIiKu9P8BYwum4onbMkMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_all = np.linspace(0, 1, 100)\n",
    "X_all = X_all[:,np.newaxis]\n",
    "y_all=lrmodel1.predict(X_all)\n",
    "plt.plot(X_all,y_all)\n",
    "plt.scatter(X,y, c='k', label='data')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a1ab47048>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_all2 = np.hstack([X_all,X_all**2,X_all**3,X_all**4])\n",
    "y_all2=lrmodel2.predict(X_all2)\n",
    "fig = plt.figure()\n",
    "plt.plot(X_all,y_all2)\n",
    "plt.scatter(X,y, c='k', label='data')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1a1c1745c0>"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Learn linear regression model\n",
    "lrmodel = LinearRegression()\n",
    "lrmodel.fit(X,y)\n",
    "# Do polynomial basis expansion\n",
    "polynomial_features = PolynomialFeatures(degree=12,include_bias=False)\n",
    "# fit linear model on expanded features\n",
    "lrmodel1 = LinearRegression()\n",
    "pipeline = Pipeline([(\"polynomial_features\", polynomial_features),\n",
    "                     (\"linear_regression\", lrmodel1)])\n",
    "pipeline.fit(X,y)\n",
    "\n",
    "# plot the fitted lines\n",
    "X_all = np.linspace(0, 1, 100)\n",
    "fig = plt.figure(figsize=[8,4])\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(X_all, lrmodel.predict(X_all[:, np.newaxis]),color='k',label='')\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(X_all, pipeline.predict(X_all[:, np.newaxis]),color='r')\n",
    "plt.ylim([-2,2])\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "' 2.003 + -60.474 * X1 + 1036.801 * X2 + -3999.849 * X3 + -54633.497 * X4 + 664421.839 * X5 + -3272753.343 * X6 + 9239878.572 * X7 + -16324304.555 * X8 + 18396505.038 * X9 + -12875298.497 * X10 + 5107851.959 * X11 + -878646.338 * X12'"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pretty_print_linear(lrmodel1.coef_,lrmodel1.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "cfs = lrmodel1.coef_\n",
    "cfs[1:] = 0\n",
    "lrmodel1.coef_ = cfs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1a1c016358>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the fitted lines\n",
    "X_all = np.linspace(0, 1, 100)\n",
    "fig = plt.figure(figsize=[8,4])\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(X_all, lrmodel.predict(X_all[:, np.newaxis]),color='k',label='')\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(X_all, pipeline.predict(X_all[:, np.newaxis]),color='r')\n",
    "#plt.ylim([-2,2])\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using Ridge Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1a1de291d0>"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Learn linear regression model\n",
    "lrmodel = LinearRegression()\n",
    "lrmodel.fit(X,y)\n",
    "# Do polynomial basis expansion\n",
    "polynomial_features = PolynomialFeatures(degree=10,include_bias=False)\n",
    "# fit linear model on expanded features\n",
    "lrmodel1 = LinearRegression()\n",
    "pipeline = Pipeline([(\"polynomial_features\", polynomial_features),\n",
    "                     (\"linear_regression\", lrmodel1)])\n",
    "pipeline.fit(X,y)\n",
    "# fit ridge regression model on expanded features\n",
    "rrmodel = Ridge(alpha=1) # alpha is lambda\n",
    "pipeline1 = Pipeline([(\"polynomial_features\", polynomial_features),\n",
    "                     (\"ridge_regression\", rrmodel)])\n",
    "pipeline1.fit(X,y)\n",
    "\n",
    "# plot the fitted lines\n",
    "X_all = np.linspace(0, 1, 100)\n",
    "fig = plt.figure(figsize=[12,8])\n",
    "plt.subplot(2,2,1)\n",
    "plt.plot(X_all, lrmodel.predict(X_all[:, np.newaxis]),color='k',label='')\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()\n",
    "plt.subplot(2,2,2)\n",
    "plt.plot(X_all, pipeline.predict(X_all[:, np.newaxis]),color='r')\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()\n",
    "plt.subplot(2,2,3)\n",
    "plt.plot(X_all, pipeline1.predict(X_all[:, np.newaxis]),color='b')\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using Ridge Regression to Control Impact of correlated variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 0.033 +  0.984 * X1 +  1.995 * X2 + -0.041 * X3\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(0)\n",
    "size = 5000\n",
    " \n",
    "#A dataset with 3 features\n",
    "X = np.random.normal(0, 1, (size, 3))\n",
    "#Y = X0 + 2*X1 + noise\n",
    "Y = X[:,0] + 2*X[:,1] + np.random.normal(0, 2, size)\n",
    "lr = LinearRegression()\n",
    "lr.fit(X, Y)\n",
    "print(pretty_print_linear(lr.coef_,lr.intercept_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Linear model: -0.184 + -0.047 * X1 +  1.312 * X2 +  1.621 * X3\n",
      "Linear model: -0.018 +  0.747 * X1 +  1.109 * X2 +  1.079 * X3\n",
      "Linear model:  0.251 + -0.098 * X1 +  1.049 * X2 +  1.940 * X3\n",
      "Linear model: -0.145 +  1.348 * X1 +  1.636 * X2 +  0.039 * X3\n",
      "Linear model:  0.093 +  0.957 * X1 +  1.637 * X2 +  0.391 * X3\n",
      "Linear model:  0.149 +  0.764 * X1 +  0.698 * X2 +  1.569 * X3\n",
      "Linear model:  0.013 +  1.425 * X1 +  1.720 * X2 + -0.071 * X3\n",
      "Linear model: -0.128 +  2.004 * X1 +  1.464 * X2 + -0.658 * X3\n",
      "Linear model:  0.045 + -0.640 * X1 +  0.738 * X2 +  2.955 * X3\n",
      "Linear model:  0.009 +  2.016 * X1 + -0.784 * X2 +  1.828 * X3\n"
     ]
    }
   ],
   "source": [
    "# adding correlated variables\n",
    "size = 100\n",
    "X_seed = np.random.normal(0, 1, size)\n",
    "for i in range(10):\n",
    "    np.random.seed(seed=i)\n",
    "    X1 = X_seed + np.random.normal(0, .1, size)\n",
    "    X2 = X_seed + np.random.normal(0, .1, size)\n",
    "    X3 = X_seed + np.random.normal(0, .1, size)\n",
    "    Y = X1 + X2 + X3 + np.random.normal(0, 1, size)\n",
    "    X = np.array([X1, X2, X3]).T\n",
    " \n",
    "    lr = LinearRegression()\n",
    "    lr.fit(X,Y)\n",
    "    print(\"Linear model:\", pretty_print_linear(lr.coef_,lr.intercept_))\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ridge model: -0.084 +  0.221 * X1 +  0.221 * X2 +  0.219 * X3\n",
      "Ridge model:  0.102 +  0.231 * X1 +  0.233 * X2 +  0.233 * X3\n",
      "Ridge model:  0.333 +  0.226 * X1 +  0.221 * X2 +  0.223 * X3\n",
      "Ridge model: -0.062 +  0.233 * X1 +  0.235 * X2 +  0.234 * X3\n",
      "Ridge model:  0.207 +  0.228 * X1 +  0.230 * X2 +  0.229 * X3\n",
      "Ridge model:  0.245 +  0.239 * X1 +  0.238 * X2 +  0.240 * X3\n",
      "Ridge model:  0.112 +  0.246 * X1 +  0.249 * X2 +  0.244 * X3\n",
      "Ridge model: -0.036 +  0.225 * X1 +  0.223 * X2 +  0.217 * X3\n",
      "Ridge model:  0.124 +  0.236 * X1 +  0.242 * X2 +  0.241 * X3\n",
      "Ridge model:  0.125 +  0.235 * X1 +  0.236 * X2 +  0.239 * X3\n"
     ]
    }
   ],
   "source": [
    "# handling correlated variables through Ridge Regression\n",
    "size = 100\n",
    "X_seed = np.random.normal(0, 1, size)\n",
    "for i in range(10):\n",
    "    np.random.seed(seed=i)\n",
    "    X1 = X_seed + np.random.normal(0, .1, size)\n",
    "    X2 = X_seed + np.random.normal(0, .1, size)\n",
    "    X3 = X_seed + np.random.normal(0, .1, size)\n",
    "    Y = X1 + X2 + X3 + np.random.normal(0, 1, size)\n",
    "    X = np.array([X1, X2, X3]).T\n",
    " \n",
    "    ridge = Ridge(alpha=10)\n",
    "    ridge.fit(X,Y)\n",
    "    print(\"Ridge model:\", pretty_print_linear(ridge.coef_,ridge.intercept_))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using LASSO to control overfitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1a1e45c898>"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit LASSO on expanded features\n",
    "llmodel = Lasso(alpha=0.1)\n",
    "pipeline2 = Pipeline([(\"polynomial_features\", polynomial_features),\n",
    "                     (\"lasso_regression\", llmodel)])\n",
    "pipeline2.fit(X,y)\n",
    "# plot the fitted lines\n",
    "X_all = np.linspace(0, 1, 100)\n",
    "plt.plot(X_all, pipeline2.predict(X_all[:, np.newaxis]),label='Lasso Fit')\n",
    "plt.scatter(X,y, c='k', label='data')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Demonstrating the role of Lasso in inducing sparsity\n",
    "We will use the Boston housing data set to study this phenomenon"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import cross_val_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "boston = load_boston()\n",
    "scaler = StandardScaler()\n",
    "X = scaler.fit_transform(boston[\"data\"])\n",
    "Y = boston[\"target\"]\n",
    "names = boston[\"feature_names\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cross validation error: 34.6897\n"
     ]
    }
   ],
   "source": [
    "# fit linear regression\n",
    "lrmodel = Ridge(alpha=0.1)\n",
    "lrmodel.fit(X, Y)\n",
    "scores = -np.mean(cross_val_score(lrmodel,\n",
    "    X, Y, scoring=\"neg_mean_squared_error\", cv=10))\n",
    "print(\"Cross validation error: %.4f\"%scores)\n",
    "#print(\"Linear regression model: \", pretty_print_linear(lrmodel.coef_, lrmodel.intercept_, names, sort = True))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.92730143,  1.08002721,  0.13847891,  0.68208866, -2.05390876,\n",
       "        2.67510351,  0.01882112, -3.10135271,  2.65496439, -2.06996096,\n",
       "       -2.05977302,  0.84922666, -3.74231919])"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lrmodel.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cross validation error: 36.8800\n"
     ]
    }
   ],
   "source": [
    "# fit Lasso\n",
    "lasso = Lasso(alpha=0.8)\n",
    "lasso.fit(X, Y)\n",
    "scores = -np.mean(cross_val_score(lasso,\n",
    "    X, Y, scoring=\"neg_mean_squared_error\", cv=10))\n",
    "print(\"Cross validation error: %.4f\"%scores)\n",
    "#print(\"Lasso model: \", pretty_print_linear(lasso.coef_, lasso.intercept_, names, sort = True))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.        ,  0.        , -0.        ,  0.16807592, -0.        ,\n",
       "        2.82375866, -0.        , -0.        , -0.        , -0.        ,\n",
       "       -1.4461243 ,  0.32919048, -3.57391611])"
      ]
     },
     "execution_count": 132,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lasso.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD',\n",
       "       'TAX', 'PTRATIO', 'B', 'LSTAT'], dtype='<U7')"
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# comparing the two for sparsity\n",
    "fig,ax = plt.subplots(1,1,figsize=[12,6])\n",
    "plt.bar(range(1,len(lrmodel.coef_)+1),lrmodel.coef_,color='red',width=0.33,alpha=0.6)\n",
    "plt.bar(np.arange(1.33,len(lrmodel.coef_)+1),lasso.coef_,color='green',width=0.33,alpha=0.6)\n",
    "plt.legend(['Ridge', 'Lasso'])\n",
    "xt = plt.xticks(range(1,len(lrmodel.coef_)+1),names,rotation=45)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comparing the objective functions "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "metadata": {},
   "outputs": [],
   "source": [
    "# generate some data\n",
    "Xraw = np.random.rand(100,2)\n",
    "wtrue = np.array([[4],[2]])\n",
    "y = np.dot(Xraw,wtrue)\n",
    "X = Xraw + np.random.normal(0, 0.05, Xraw.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "metadata": {},
   "outputs": [],
   "source": [
    "# the squared loss function\n",
    "def objfunction(w,X,y):\n",
    "    J = 0.5*np.sum((y - np.dot(X,w))**2)\n",
    "    return J"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 206,
   "metadata": {},
   "outputs": [],
   "source": [
    "w1s = w2s = np.linspace(-20,20,100)\n",
    "W1,W2 = np.meshgrid(w1s,w2s)\n",
    "\n",
    "Js = []\n",
    "for w1,w2 in zip(W1.flatten(),W2.flatten()):\n",
    "    w = np.array([[w1],[w2]])\n",
    "    Js.append(objfunction(w,X,y))\n",
    "Js = np.array(Js)\n",
    "Js = np.reshape(Js,W1.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/chandola/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:18: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the objective function\n",
    "fig = plt.figure(figsize=(10,4))\n",
    "grid = plt.GridSpec(1, 2, hspace=0.2, wspace=0.2)\n",
    "\n",
    "ax = fig.add_subplot(grid[0,0:1],projection='3d')\n",
    "ax.plot_surface(W1, W2, Js, rstride=1, cstride=1,\n",
    "                cmap='autumn_r', edgecolor='none')\n",
    "ax.set_xlabel('$w_1$')\n",
    "ax.set_ylabel('$w_2$')\n",
    "\n",
    "# plot the objective function in 2D\n",
    "ax = fig.add_subplot(grid[0,1:2])\n",
    "ax.contour(W1, W2, Js, 40, cmap='RdGy')\n",
    "ax.set_xlabel('$w_1$')\n",
    "ax.set_ylabel('$w_2$')\n",
    "ax.scatter([4],[2])\n",
    "\n",
    "plt.tight_layout()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plot the objective function for l1 and l2 regularization penalty\n",
    "def l2penalty(w):\n",
    "    return np.linalg.norm(w)**2\n",
    "\n",
    "def l1penalty(w):\n",
    "    return np.linalg.norm(w,ord=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {},
   "outputs": [],
   "source": [
    "l1pens = []\n",
    "l2pens = []\n",
    "for w1,w2 in zip(W1.flatten(),W2.flatten()):\n",
    "    w = np.array([[w1],[w2]])\n",
    "    l1pens.append(l1penalty(w))\n",
    "    l2pens.append(l2penalty(w))\n",
    "l1pens = np.array(l1pens)\n",
    "l1pens = np.reshape(l1pens,W1.shape)\n",
    "l2pens = np.array(l2pens)\n",
    "l2pens = np.reshape(l2pens,W1.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 243,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the objective function with l1 and l2 penalty\n",
    "fig,ax = plt.subplots(1,3,figsize=(10,4),sharex='col')\n",
    "ax[0].contour(W1, W2, l1pens, 40, cmap='RdGy')\n",
    "ax[0].set_xlabel('$w_1$')\n",
    "ax[0].set_ylabel('$w_2$')\n",
    "ax[0].scatter([4],[2])\n",
    "ax[0].set_title('l1 Penalty')\n",
    "\n",
    "ax[1].contour(W1, W2, Js, 40, cmap='RdGy')\n",
    "ax[1].set_xlabel('$w_1$')\n",
    "ax[1].scatter([4],[2])\n",
    "ax[1].set_title('Obj Function')\n",
    "\n",
    "\n",
    "\n",
    "ax[2].contour(W1, W2, l2pens, 40, cmap='RdGy')\n",
    "ax[2].set_xlabel('$w_1$')\n",
    "ax[2].scatter([4],[2])\n",
    "ax[2].set_title('l2 Penalty')\n",
    "\n",
    "\n",
    "\n",
    "plt.tight_layout()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bayesian Linear Regression\n",
    "Impact of prior on the posterior estimate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import multivariate_normal as mvn\n",
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bayesRegFit(X,y,tausquared):\n",
    "    '''\n",
    "    Imposes a prior ~ N(0,tausquared*I). Estimates sigmasquared from the data. Does not treat that as a random variable.\n",
    "    '''\n",
    "    N = X.shape[0]\n",
    "    ols = LinearRegression(fit_intercept=False)\n",
    "    ols.fit(X, y)\n",
    "    diff = y - np.dot(X,ols.coef_.T)\n",
    "    sigmasquared = (1/N)*np.dot(diff.T,diff)\n",
    "    XTX = np.dot(X.T,X)\n",
    "    inv = np.linalg.inv(XTX + (sigmasquared/tausquared)*np.eye(X.shape[1]))\n",
    "    w = np.dot(inv,np.dot(X.T,y))\n",
    "    Sigma = sigmasquared*inv\n",
    "    return w,Sigma\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_contours(ax,mean,cov,cm='Reds',levels=6):\n",
    "    w1s = w2s = np.linspace(-10,10,100)\n",
    "    W1,W2 = np.meshgrid(w1s,w2s)\n",
    "\n",
    "    pdfs = []\n",
    "    for w1,w2 in zip(W1.flatten(),W2.flatten()):\n",
    "        w = np.array([w1,w2])\n",
    "        pdfs.append(mvn.pdf(w,mean,cov))\n",
    "    pdfs = np.array(pdfs)\n",
    "    pdfs = np.reshape(pdfs,W1.shape)\n",
    "\n",
    "    cfset = ax.contourf(W1, W2, pdfs, levels=levels,cmap=cm)\n",
    "    cset = ax.contour(W1, W2, pdfs, levels=levels, colors='k',alpha=0.6)\n",
    "    ax.clabel(cset, inline=1, fontsize=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# generate some data\n",
    "Xraw = np.random.rand(100,2)\n",
    "wtrue = np.array([[8],[4]])\n",
    "y = np.dot(Xraw,wtrue)\n",
    "X = Xraw + np.random.normal(0, 0.1, Xraw.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# assume a Gaussian prior on w\n",
    "prior_mean = np.zeros((2,))\n",
    "tausquared = 0.1\n",
    "prior_cov = tausquared*np.eye(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-6.0, -4.0, 'Prior mean')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the prior distribution\n",
    "fig = plt.figure(figsize=(6,6))\n",
    "ax = fig.gca()\n",
    "\n",
    "plot_contours(ax,prior_mean,prior_cov)\n",
    "ax.scatter(prior_mean[0],prior_mean[1])\n",
    "ax.annotate('Prior mean', xy=(prior_mean[0],prior_mean[1]), xytext=(prior_mean[0]-6,prior_mean[1]-4),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7.87858075 3.86204582]\n"
     ]
    }
   ],
   "source": [
    "# find the MLE estimate\n",
    "ols = LinearRegression(fit_intercept=False)\n",
    "ols.fit(X, y)\n",
    "print(ols.coef_[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(2.8785807452916172, 6.862045819175242, 'MLE Estimate')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the prior distribution + MLE\n",
    "fig = plt.figure(figsize=(6,6))\n",
    "ax = fig.gca()\n",
    "\n",
    "plot_contours(ax,prior_mean,prior_cov)\n",
    "ax.scatter(prior_mean[0],prior_mean[1])\n",
    "ax.annotate('Prior mean', xy=(prior_mean[0],prior_mean[1]), xytext=(prior_mean[0]-6,prior_mean[1]-4),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))\n",
    "\n",
    "ax.scatter(ols.coef_[0,0],ols.coef_[0,1],c='r',s=24)\n",
    "ax.annotate('MLE Estimate', xy=(ols.coef_[0,0],ols.coef_[0,1]), \n",
    "            xytext=(ols.coef_[0,0]-5,ols.coef_[0,1]+3),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "w_bayes,Sigma_bayes = bayesRegFit(X,y,tausquared)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[6.30827156]\n",
      " [4.18025411]]\n",
      "[[ 0.0281512  -0.01676847]\n",
      " [-0.01676847  0.02596834]]\n"
     ]
    }
   ],
   "source": [
    "print(w_bayes)\n",
    "print(Sigma_bayes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-1.6917284378866562, 5.1802541120485195, 'Posterior Mean')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the prior distribution + MLE\n",
    "fig = plt.figure(figsize=(12,6))\n",
    "ax = plt.subplot(121)\n",
    "\n",
    "plot_contours(ax,prior_mean,prior_cov)\n",
    "ax.scatter(prior_mean[0],prior_mean[1])\n",
    "ax.annotate('Prior mean', xy=(prior_mean[0],prior_mean[1]), xytext=(prior_mean[0]-6,prior_mean[1]-4),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))\n",
    "\n",
    "ax.scatter(ols.coef_[0,0],ols.coef_[0,1],c='r',s=24)\n",
    "ax.annotate('MLE Estimate', xy=(ols.coef_[0,0],ols.coef_[0,1]), \n",
    "            xytext=(ols.coef_[0,0]-5,ols.coef_[0,1]+3),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))\n",
    "\n",
    "ax = plt.subplot(122)\n",
    "plot_contours(ax,w_bayes.flatten(),Sigma_bayes,levels=4)\n",
    "ax.scatter(prior_mean[0],prior_mean[1])\n",
    "ax.annotate('Prior mean', xy=(prior_mean[0],prior_mean[1]), xytext=(prior_mean[0]-6,prior_mean[1]-4),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))\n",
    "\n",
    "ax.scatter(ols.coef_[0,0],ols.coef_[0,1],c='r',s=24)\n",
    "ax.annotate('MLE Estimate', xy=(ols.coef_[0,0],ols.coef_[0,1]), \n",
    "            xytext=(ols.coef_[0,0]-5,ols.coef_[0,1]+3),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))\n",
    "\n",
    "ax.scatter(w_bayes[0,0],w_bayes[1,0],c='g',s=24)\n",
    "ax.annotate('Posterior Mean', xy=(w_bayes[0,0],w_bayes[1,0]), \n",
    "            xytext=(w_bayes[0,0]-8,w_bayes[1,0]+1),\n",
    "            arrowprops=dict(facecolor='black', shrink=0.05))\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}