ch08/spatial_lattice/Spatial lattice.ipynb

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    "| **Chapter** | 8: Spatial dynamics of epidemics                             |\n",
    "| ------------- |--------------------------------------------------------------|\n",
    "| **Computational Note** | 8.1: Simple spatial lattice models                           |\n",
    "| | 8.2: Indexing and manipulation of multi-dimensional arrays   |\n",
    "| **Package prerequisites** | None                                                         |\n",
    "\n",
    "# Simple spatial lattice models"
   ],
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    },
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "from matplotlib.colors import PowerNorm\n",
    "from matplotlib import rcParams\n",
    "\n",
    "COLORS = {\"S\": \"#2f4b7c\",\n",
    "          \"E\": \"#ffa600\",\n",
    "          \"I\": \"#f95d6a\",\n",
    "          \"R\": \"#a05195\",\n",
    "          \"D\": \"#003f5c\",\n",
    "          \"C\": \"#ff7c43\",\n",
    "          \"X\": \"#665191\",\n",
    "          \"Y\": \"#d45087\"}"
   ],
   "execution_count": 1,
   "outputs": [],
   "metadata": {
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     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
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  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Author: Chris von Csefalvay\n",
      "\n",
      "Github username: chrisvoncsefalvay\n",
      "\n",
      "Python implementation: CPython\n",
      "Python version       : 3.10.2\n",
      "IPython version      : 8.4.0\n",
      "\n",
      "matplotlib: 3.5.2\n",
      "scipy     : 1.8.1\n",
      "numpy     : 1.21.6\n",
      "seaborn   : 0.11.2\n",
      "\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark --iversions -v -a \"Chris von Csefalvay\" -gu \"chrisvoncsefalvay\""
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
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  },
  {
   "cell_type": "markdown",
   "source": [
    "In this Computational Note, we initialise a simple 10x10 matrix for a pathogen with $\\gamma = \\frac{1}{6}$ and varying values of $\\beta$ so that $\\beta_{u,v} \\sim \\operatorname{Normal}(0.7, 0.005)$ and initial infectious proportions of $I_{u,v} \\sim \\operatorname{Normal}(10^{-5}, 10^{-7})$. The system is governed by the system of differential equations\n",
    "\n",
    "$$\n",
    "    \\frac{dS}{dt} = - \\beta S I\n",
    "$$\n",
    "\n",
    "$$\n",
    "    \\frac{dI}{dt} = \\beta S I - \\gamma I\n",
    "$$"
   ],
   "attachments": {},
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     "type": "MD",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
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    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "xsize, ysize = 10, 10\n",
    "max_iterations = 100\n",
    "gamma = 1/6"
   ],
   "execution_count": 3,
   "outputs": [],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
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  },
  {
   "cell_type": "code",
   "source": [
    "beta_matrix = stats.norm(0.7, 0.005).rvs(size=xsize * ysize).reshape(xsize, ysize)"
   ],
   "execution_count": 4,
   "outputs": [],
   "metadata": {
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     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "sns.heatmap(beta_matrix)"
   ],
   "execution_count": 5,
   "outputs": [
    {
     "data": {
      "text/plain": "<AxesSubplot:>"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 2 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "I_0_matrix = stats.norm(1e-5, 1e-7).rvs(size=xsize * ysize).reshape(xsize, ysize)"
   ],
   "execution_count": 6,
   "outputs": [],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "S_0_matrix = np.ones(shape=(xsize, ysize)) - I_0_matrix"
   ],
   "execution_count": 7,
   "outputs": [],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "I_arr, S_arr = [I_0_matrix], [S_0_matrix]"
   ],
   "execution_count": 8,
   "outputs": [],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "for i in range(max_iterations):\n",
    "    S_arr.append(S_arr[-1] - beta_matrix * S_arr[-1] * I_arr[-1])\n",
    "    I_arr.append(I_arr[-1] + beta_matrix * S_arr[-1] * I_arr[-1] - gamma * I_arr[-1])"
   ],
   "execution_count": 9,
   "outputs": [],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "fig, axes = plt.subplots(1, 5, figsize=(10, 2), gridspec_kw={\"width_ratios\": [1,1,1,1,0.08]})\n",
    "\n",
    "\n",
    "sns.heatmap(I_arr[26], ax=axes[0], cbar=False,  vmin=0.2, vmax=0.45, cmap=sns.color_palette(\"viridis\", as_cmap=True))\n",
    "sns.heatmap(I_arr[28], ax=axes[1], cbar=False, vmin=0.2, vmax=0.45, cmap=sns.color_palette(\"viridis\", as_cmap=True))\n",
    "sns.heatmap(I_arr[30], ax=axes[2], cbar=False,  vmin=0.2, vmax=0.45, cmap=sns.color_palette(\"viridis\", as_cmap=True))\n",
    "sns.heatmap(I_arr[32], ax=axes[3],  cbar_ax=axes[4], vmin=0.2, vmax=0.45, cmap=sns.color_palette(\"viridis\", as_cmap=True))\n",
    "\n",
    "for a in axes[0:4]:\n",
    "    a.set(xticklabels=[], yticklabels=[])\n",
    "\n",
    "plt.savefig(\"spatial_lattice_days.pdf\")"
   ],
   "execution_count": 10,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 720x144 with 5 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "I_arr"
   ],
   "execution_count": 11,
   "outputs": [
    {
     "data": {
      "text/plain": "[array([[1.00212370e-05, 1.01690938e-05, 1.00251117e-05, 1.00363114e-05,\n         1.00002313e-05, 9.91812035e-06, 9.91247656e-06, 1.00637495e-05,\n         1.01229762e-05, 1.00305106e-05],\n        [9.88840589e-06, 1.01676253e-05, 1.01266189e-05, 1.00713715e-05,\n         1.02620000e-05, 1.01605440e-05, 1.02801640e-05, 1.00585145e-05,\n         9.97345873e-06, 9.98589264e-06],\n        [9.96917454e-06, 1.01497265e-05, 1.00638610e-05, 1.00847756e-05,\n         9.88701588e-06, 9.93909880e-06, 9.97498033e-06, 9.99707786e-06,\n         1.00583764e-05, 9.99568223e-06],\n        [1.01474854e-05, 9.97883828e-06, 9.98879882e-06, 1.00199448e-05,\n         1.00386643e-05, 1.00427036e-05, 1.02180812e-05, 9.87960895e-06,\n         9.98099312e-06, 1.00868180e-05],\n        [1.00625639e-05, 1.00263394e-05, 9.99456768e-06, 1.00155852e-05,\n         1.00104450e-05, 1.01025714e-05, 9.96143828e-06, 9.87133222e-06,\n         9.98275212e-06, 1.01048217e-05],\n        [9.90591230e-06, 9.86725504e-06, 9.86948938e-06, 1.00524885e-05,\n         9.96264060e-06, 9.98398850e-06, 1.00759734e-05, 1.00065219e-05,\n         9.97775078e-06, 1.00925490e-05],\n        [1.01502592e-05, 9.99362222e-06, 9.95684346e-06, 1.00534495e-05,\n         9.94259465e-06, 1.00170559e-05, 1.00652413e-05, 1.00812826e-05,\n         9.99562244e-06, 1.00833309e-05],\n        [9.86696940e-06, 1.00604776e-05, 1.00422322e-05, 9.98549975e-06,\n         1.01405608e-05, 1.00120964e-05, 9.77658015e-06, 9.92892638e-06,\n         1.01268044e-05, 9.73507110e-06],\n        [9.86836999e-06, 9.97811550e-06, 9.99767635e-06, 9.94053136e-06,\n         9.97921808e-06, 9.92045375e-06, 1.00385800e-05, 1.00535793e-05,\n         9.83162848e-06, 1.00629990e-05],\n        [1.00854318e-05, 1.00470111e-05, 9.87982327e-06, 1.00083229e-05,\n         9.90464597e-06, 1.01518517e-05, 9.97682087e-06, 9.90163553e-06,\n         9.94933008e-06, 9.96369350e-06]]),\n array([[1.52801201e-05, 1.56095091e-05, 1.53733024e-05, 1.53885028e-05,\n         1.53738127e-05, 1.51786337e-05, 1.51765665e-05, 1.55136292e-05,\n         1.55077894e-05, 1.53552548e-05],\n        [1.51412227e-05, 1.55435832e-05, 1.53876591e-05, 1.53665751e-05,\n         1.57317379e-05, 1.56624538e-05, 1.58198877e-05, 1.53273120e-05,\n         1.53551443e-05, 1.53164484e-05],\n        [1.52443519e-05, 1.55532769e-05, 1.54643833e-05, 1.54535341e-05,\n         1.51521443e-05, 1.52235815e-05, 1.52891524e-05, 1.53248768e-05,\n         1.54166619e-05, 1.52622566e-05],\n        [1.55119997e-05, 1.53287014e-05, 1.53111565e-05, 1.53332001e-05,\n         1.53698153e-05, 1.53880433e-05, 1.56945149e-05, 1.51160621e-05,\n         1.52539989e-05, 1.54939147e-05],\n        [1.54227185e-05, 1.53528527e-05, 1.52794364e-05, 1.53446290e-05,\n         1.53474615e-05, 1.55208382e-05, 1.52360460e-05, 1.51873475e-05,\n         1.53941846e-05, 1.54235402e-05],\n        [1.52907848e-05, 1.50793842e-05, 1.52155907e-05, 1.55039349e-05,\n         1.53010484e-05, 1.53343097e-05, 1.54778219e-05, 1.52825696e-05,\n         1.53305190e-05, 1.54599322e-05],\n        [1.56203235e-05, 1.53606330e-05, 1.52533378e-05, 1.54467125e-05,\n         1.53038040e-05, 1.53172525e-05, 1.53534876e-05, 1.54844259e-05,\n         1.52921122e-05, 1.54154225e-05],\n        [1.50470297e-05, 1.53935143e-05, 1.54693444e-05, 1.53373608e-05,\n         1.54753637e-05, 1.53935086e-05, 1.49937401e-05, 1.52304796e-05,\n         1.55415961e-05, 1.48934910e-05],\n        [1.51119416e-05, 1.53039519e-05, 1.54311307e-05, 1.53012665e-05,\n         1.53429805e-05, 1.52828325e-05, 1.53618835e-05, 1.53984163e-05,\n         1.49624707e-05, 1.53686679e-05],\n        [1.55340754e-05, 1.54038336e-05, 1.51127402e-05, 1.52193285e-05,\n         1.51957283e-05, 1.55166519e-05, 1.53355874e-05, 1.52263711e-05,\n         1.51668619e-05, 1.53230585e-05]]),\n array([[2.32986158e-05, 2.39603999e-05, 2.35745267e-05, 2.35948093e-05,\n         2.36347480e-05, 2.32291809e-05, 2.32360759e-05, 2.39146925e-05,\n         2.37568814e-05, 2.35065501e-05],\n        [2.31842751e-05, 2.37618701e-05, 2.33818341e-05, 2.34457134e-05,\n         2.41167740e-05, 2.41435112e-05, 2.43447055e-05, 2.33558711e-05,\n         2.36406736e-05, 2.34923859e-05],\n        [2.33107708e-05, 2.38334720e-05, 2.37628440e-05, 2.36803029e-05,\n         2.32209972e-05, 2.33176382e-05, 2.34343358e-05, 2.34919347e-05,\n         2.36292901e-05, 2.33035977e-05],\n        [2.37123725e-05, 2.35466216e-05, 2.34693250e-05, 2.34637900e-05,\n         2.35320219e-05, 2.35783833e-05, 2.41059502e-05, 2.31278625e-05,\n         2.33126463e-05, 2.37993982e-05],\n        [2.36380188e-05, 2.35089723e-05, 2.33586941e-05, 2.35090096e-05,\n         2.35297652e-05, 2.38449406e-05, 2.33034600e-05, 2.33660854e-05,\n         2.37389177e-05, 2.35416758e-05],\n        [2.36027661e-05, 2.30445797e-05, 2.34574501e-05, 2.39115698e-05,\n         2.34998872e-05, 2.35516992e-05, 2.37755471e-05, 2.33403586e-05,\n         2.35547728e-05, 2.36816612e-05],\n        [2.40381324e-05, 2.36098456e-05, 2.33671630e-05, 2.37331218e-05,\n         2.35557483e-05, 2.34217605e-05, 2.34200490e-05, 2.37833082e-05,\n         2.33949975e-05, 2.35670229e-05],\n        [2.29464615e-05, 2.35534668e-05, 2.38293050e-05, 2.35575067e-05,\n         2.36166148e-05, 2.36672643e-05, 2.29948673e-05, 2.33626849e-05,\n         2.38515525e-05, 2.27851470e-05],\n        [2.31415808e-05, 2.34723477e-05, 2.38173936e-05, 2.35528252e-05,\n         2.35896124e-05, 2.35436621e-05, 2.35079378e-05, 2.35846414e-05,\n         2.27708448e-05, 2.34716121e-05],\n        [2.39262222e-05, 2.36166677e-05, 2.31171972e-05, 2.31434245e-05,\n         2.33132045e-05, 2.37163931e-05, 2.35725470e-05, 2.34144388e-05,\n         2.31204118e-05, 2.35650526e-05]]),\n array([[3.55246903e-05, 3.67786295e-05, 3.61506012e-05, 3.61770625e-05,\n         3.63343218e-05, 3.55493698e-05, 3.55753218e-05, 3.68648794e-05,\n         3.63936554e-05, 3.59846696e-05],\n        [3.54995534e-05, 3.63251009e-05, 3.55288741e-05, 3.57722801e-05,\n         3.69707601e-05, 3.72166815e-05, 3.74629727e-05, 3.55895885e-05,\n         3.63967384e-05, 3.60323772e-05],\n        [3.56452035e-05, 3.65215687e-05, 3.65141258e-05, 3.62863605e-05,\n         3.55864296e-05, 3.57148687e-05, 3.59185373e-05, 3.60111774e-05,\n         3.62166041e-05, 3.55814799e-05],\n        [3.62475763e-05, 3.61700041e-05, 3.59741012e-05, 3.59054431e-05,\n         3.60285339e-05, 3.61277890e-05, 3.70251860e-05, 3.53858098e-05,\n         3.56283932e-05, 3.65567405e-05],\n        [3.62291330e-05, 3.59977169e-05, 3.57097306e-05, 3.60171230e-05,\n         3.60740886e-05, 3.66331266e-05, 3.56422680e-05, 3.59489912e-05,\n         3.66068013e-05, 3.59325024e-05],\n        [3.64328109e-05, 3.52168749e-05, 3.61634179e-05, 3.68782971e-05,\n         3.60916790e-05, 3.61723709e-05, 3.65214383e-05, 3.56463831e-05,\n         3.61907589e-05, 3.62755050e-05],\n        [3.69920197e-05, 3.62889062e-05, 3.57967710e-05, 3.64645078e-05,\n         3.62569363e-05, 3.58141774e-05, 3.57244344e-05, 3.65296996e-05,\n         3.57911216e-05, 3.60288815e-05],\n        [3.49927073e-05, 3.60386615e-05, 3.67068810e-05, 3.61830127e-05,\n         3.60405326e-05, 3.63877486e-05, 3.52653863e-05, 3.58367549e-05,\n         3.66044904e-05, 3.48581251e-05],\n        [3.54374595e-05, 3.60003074e-05, 3.67610019e-05, 3.62539495e-05,\n         3.62684146e-05, 3.62694407e-05, 3.59733895e-05, 3.61226196e-05,\n         3.46538820e-05, 3.58464704e-05],\n        [3.68518659e-05, 3.62080505e-05, 3.53609525e-05, 3.51930276e-05,\n         3.57667256e-05, 3.62489980e-05, 3.62334182e-05, 3.60054143e-05,\n         3.52445727e-05, 3.62399896e-05]]),\n array([[5.41658602e-05, 5.64536334e-05, 5.54348718e-05, 5.54683324e-05,\n         5.58570573e-05, 5.44032714e-05, 5.44665635e-05, 5.68271171e-05,\n         5.57515430e-05, 5.50859922e-05],\n        [5.43559832e-05, 5.55300480e-05, 5.39857993e-05, 5.45789167e-05,\n         5.66751162e-05, 5.73679859e-05, 5.76493856e-05, 5.42306773e-05,\n         5.60350760e-05, 5.52654484e-05],\n        [5.45055417e-05, 5.59637071e-05, 5.61071610e-05, 5.56025288e-05,\n         5.45359695e-05, 5.47026818e-05, 5.50528310e-05, 5.52014980e-05,\n         5.55085340e-05, 5.43275567e-05],\n        [5.54086997e-05, 5.55601563e-05, 5.51409591e-05, 5.49436452e-05,\n         5.51605972e-05, 5.53558778e-05, 5.68676227e-05, 5.41399571e-05,\n         5.44497650e-05, 5.61518221e-05],\n        [5.55264344e-05, 5.51202650e-05, 5.45908281e-05, 5.51796219e-05,\n         5.53054765e-05, 5.62790311e-05, 5.45136612e-05, 5.53072941e-05,\n         5.64491583e-05, 5.48444443e-05],\n        [5.62363708e-05, 5.38180558e-05, 5.57510468e-05, 5.68759166e-05,\n         5.54298061e-05, 5.55554483e-05, 5.60996467e-05, 5.44400523e-05,\n         5.56046873e-05, 5.55660791e-05],\n        [5.69259344e-05, 5.57762782e-05, 5.48373887e-05, 5.60248560e-05,\n         5.58059112e-05, 5.47627817e-05, 5.44926656e-05, 5.61067146e-05,\n         5.47548612e-05, 5.50797403e-05],\n        [5.33623069e-05, 5.51413635e-05, 5.65429440e-05, 5.55744373e-05,\n         5.49996383e-05, 5.59444765e-05, 5.40830885e-05, 5.49704917e-05,\n         5.61755047e-05, 5.33275231e-05],\n        [5.42659289e-05, 5.52142130e-05, 5.67381575e-05, 5.58036421e-05,\n         5.57610905e-05, 5.58730768e-05, 5.50482131e-05, 5.53253541e-05,\n         5.27375504e-05, 5.47450643e-05],\n        [5.67596410e-05, 5.55119702e-05, 5.40888646e-05, 5.35156604e-05,\n         5.48720795e-05, 5.54036523e-05, 5.56938232e-05, 5.53664690e-05,\n         5.37259544e-05, 5.57317440e-05]]),\n array([[8.25873653e-05, 8.66523592e-05, 8.50046873e-05, 8.50450852e-05,\n         8.58679758e-05, 8.32550573e-05, 8.33880064e-05, 8.75972358e-05,\n         8.54044284e-05, 8.43251708e-05],\n        [8.32270140e-05, 8.48870890e-05, 8.20295559e-05, 8.32713779e-05,\n         8.68797573e-05, 8.84287437e-05, 8.87113180e-05, 8.26341798e-05,\n         8.62679700e-05, 8.47630945e-05],\n        [8.33436906e-05, 8.57542741e-05, 8.62120230e-05, 8.51996825e-05,\n         8.35745609e-05, 8.37839079e-05, 8.43787409e-05, 8.46168300e-05,\n         8.50754189e-05, 8.29485706e-05],\n        [8.46972547e-05, 8.53435300e-05, 8.45183551e-05, 8.40750380e-05,\n         8.44507892e-05, 8.48161266e-05, 8.73423675e-05, 8.28322037e-05,\n         8.32124501e-05, 8.62486688e-05],\n        [8.51008577e-05, 8.43995288e-05, 8.34536412e-05, 8.45358228e-05,\n         8.47877747e-05, 8.64592321e-05, 8.33753880e-05, 8.50883985e-05,\n         8.70452692e-05, 8.37086473e-05],\n        [8.68028350e-05, 8.22427851e-05, 8.59466003e-05, 8.77158162e-05,\n         8.51278954e-05, 8.53234846e-05, 8.61716773e-05, 8.31407894e-05,\n         8.54313649e-05, 8.51134809e-05],\n        [8.76000380e-05, 8.57269516e-05, 8.40044111e-05, 8.60762448e-05,\n         8.58937292e-05, 8.37352827e-05, 8.31195747e-05, 8.61738992e-05,\n         8.37649852e-05, 8.42025842e-05],\n        [8.13737592e-05, 8.43681935e-05, 8.70966359e-05, 8.53567097e-05,\n         8.39307212e-05, 8.60104872e-05, 8.29405312e-05, 8.43185106e-05,\n         8.62088360e-05, 8.15814568e-05],\n        [8.30968199e-05, 8.46813735e-05, 8.75699429e-05, 8.58938200e-05,\n         8.57286798e-05, 8.60709188e-05, 8.42359551e-05, 8.47347432e-05,\n         8.02566225e-05, 8.36057303e-05],\n        [8.74202009e-05, 8.51060512e-05, 8.27340585e-05, 8.13762978e-05,\n         8.41813769e-05, 8.46785041e-05, 8.56045726e-05, 8.51369489e-05,\n         8.18971368e-05, 8.57056377e-05]]),\n array([[0.00012592, 0.000133  , 0.00013034, 0.00013039, 0.000132  ,\n         0.0001274 , 0.00012766, 0.00013502, 0.00013083, 0.00012908],\n        [0.00012743, 0.00012976, 0.00012464, 0.00012704, 0.00013318,\n         0.0001363 , 0.00013651, 0.00012591, 0.00013281, 0.00013   ],\n        [0.00012744, 0.0001314 , 0.00013247, 0.00013055, 0.00012807,\n         0.00012832, 0.00012932, 0.0001297 , 0.00013039, 0.00012664],\n        [0.00012946, 0.00013109, 0.00012954, 0.00012865, 0.00012929,\n         0.00012995, 0.00013414, 0.00012673, 0.00012717, 0.00013247],\n        [0.00013042, 0.00012923, 0.00012757, 0.00012951, 0.00012998,\n         0.00013282, 0.00012751, 0.0001309 , 0.00013422, 0.00012776],\n        [0.00013398, 0.00012568, 0.00013249, 0.00013527, 0.00013073,\n         0.00013104, 0.00013236, 0.00012697, 0.00013125, 0.00013037],\n        [0.0001348 , 0.00013176, 0.00012868, 0.00013224, 0.0001322 ,\n         0.00012803, 0.00012678, 0.00013235, 0.00012814, 0.00012872],\n        [0.00012409, 0.00012908, 0.00013416, 0.0001311 , 0.00012808,\n         0.00013223, 0.00012719, 0.00012933, 0.0001323 , 0.0001248 ],\n        [0.00012724, 0.00012987, 0.00013515, 0.00013221, 0.0001318 ,\n         0.00013259, 0.0001289 , 0.00012977, 0.00012213, 0.00012768],\n        [0.00013464, 0.00013047, 0.00012655, 0.00012374, 0.00012914,\n         0.00012942, 0.00013158, 0.00013091, 0.00012484, 0.0001318 ]]),\n array([[0.00019198, 0.00020413, 0.00019986, 0.0001999 , 0.00020291,\n         0.00019496, 0.00019544, 0.00020812, 0.00020039, 0.00019758],\n        [0.0001951 , 0.00019835, 0.00018937, 0.00019382, 0.00020414,\n         0.00021009, 0.00021004, 0.00019184, 0.00020445, 0.00019938],\n        [0.00019485, 0.00020133, 0.00020353, 0.00020002, 0.00019625,\n         0.00019653, 0.0001982 , 0.0001988 , 0.00019983, 0.00019335],\n        [0.00019788, 0.00020135, 0.00019855, 0.00019685, 0.00019793,\n         0.0001991 , 0.00020602, 0.00019387, 0.00019433, 0.00020346],\n        [0.00019988, 0.00019786, 0.00019501, 0.00019839, 0.00019926,\n         0.00020403, 0.00019501, 0.00020137, 0.00020696, 0.00019499],\n        [0.00020679, 0.00019204, 0.00020424, 0.00020861, 0.00020076,\n         0.00020124, 0.0002033 , 0.00019389, 0.00020164, 0.00019968],\n        [0.00020742, 0.00020249, 0.00019711, 0.00020316, 0.00020346,\n         0.00019576, 0.00019337, 0.00020326, 0.00019602, 0.00019677],\n        [0.00018921, 0.00019749, 0.00020663, 0.00020134, 0.00019544,\n         0.00020328, 0.00019505, 0.00019837, 0.00020301, 0.00019091],\n        [0.00019483, 0.00019917, 0.00020858, 0.00020348, 0.00020262,\n         0.00020423, 0.00019723, 0.00019874, 0.00018585, 0.00019497],\n        [0.00020735, 0.00020002, 0.00019355, 0.00018815, 0.00019811,\n         0.00019779, 0.00020222, 0.00020129, 0.00019028, 0.00020267]]),\n array([[0.00029267, 0.00031329, 0.00030642, 0.00030645, 0.00031188,\n         0.00029831, 0.00029918, 0.00032077, 0.00030694, 0.00030242],\n        [0.00029869, 0.00030317, 0.00028771, 0.00029567, 0.00031289,\n         0.00032379, 0.00032317, 0.00029229, 0.00031471, 0.00030575],\n        [0.0002979 , 0.00030846, 0.00031269, 0.00030646, 0.00030071,\n         0.00030097, 0.00030373, 0.0003047 , 0.00030622, 0.00029518],\n        [0.00030244, 0.00030924, 0.00030429, 0.00030117, 0.00030299,\n         0.00030502, 0.00031637, 0.00029658, 0.00029694, 0.00031248],\n        [0.00030629, 0.00030292, 0.00029808, 0.0003039 , 0.00030544,\n         0.0003134 , 0.00029822, 0.00030977, 0.00031908, 0.00029757],\n        [0.00031914, 0.00029344, 0.00031481, 0.00032168, 0.00030829,\n         0.00030903, 0.00031223, 0.00029608, 0.00030977, 0.00030582],\n        [0.00031914, 0.00031119, 0.00030191, 0.0003121 , 0.00031311,\n         0.00029928, 0.00029492, 0.00031215, 0.00029984, 0.00030077],\n        [0.0002885 , 0.00030212, 0.00031825, 0.00030919, 0.0002982 ,\n         0.00031249, 0.00029908, 0.00030423, 0.00031151, 0.00029202],\n        [0.0002983 , 0.00030542, 0.00032188, 0.00031315, 0.00031147,\n         0.00031457, 0.00030176, 0.00030435, 0.0002828 , 0.00029772],\n        [0.00031932, 0.00030661, 0.00029602, 0.00028606, 0.00030389,\n         0.00030226, 0.00031079, 0.00030948, 0.00029002, 0.00031162]]),\n array([[0.00044615, 0.00048076, 0.00046977, 0.00046975, 0.00047934,\n         0.00045641, 0.00045793, 0.00049433, 0.00047008, 0.00046283],\n        [0.00045723, 0.00046334, 0.00043707, 0.00045101, 0.00047953,\n         0.00049897, 0.00049717, 0.00044528, 0.0004844 , 0.00046884],\n        [0.00045542, 0.00047256, 0.00048035, 0.00046947, 0.00046073,\n         0.00046086, 0.00046542, 0.00046696, 0.00046923, 0.00045058],\n        [0.00046221, 0.00047489, 0.00046629, 0.00046076, 0.00046377,\n         0.00046724, 0.0004858 , 0.00045366, 0.0004537 , 0.00047985],\n        [0.00046932, 0.00046372, 0.00045557, 0.00046547, 0.00046816,\n         0.00048136, 0.00045601, 0.00047645, 0.00049191, 0.00045408],\n        [0.00049248, 0.00044832, 0.0004852 , 0.00049598, 0.00047335,\n         0.0004745 , 0.00047949, 0.00045207, 0.00047582, 0.00046833],\n        [0.00049099, 0.00047817, 0.00046239, 0.00047939, 0.00048182,\n         0.00045752, 0.00044975, 0.00047931, 0.00045859, 0.00045969],\n        [0.00043984, 0.00046216, 0.0004901 , 0.00047477, 0.00045496,\n         0.00048031, 0.00045856, 0.00046655, 0.00047793, 0.00044664],\n        [0.00045669, 0.00046831, 0.00049666, 0.0004819 , 0.00047874,\n         0.00048447, 0.00046166, 0.00046603, 0.00043027, 0.00045458],\n        [0.00049169, 0.00046995, 0.00045269, 0.00043489, 0.0004661 ,\n         0.00046187, 0.00047759, 0.00047577, 0.000442  , 0.00047911]]),\n array([[0.00068   , 0.00073765, 0.00072007, 0.00071995, 0.00073659,\n         0.00069821, 0.00070084, 0.00076169, 0.00071984, 0.00070824],\n        [0.00069983, 0.00070803, 0.00066388, 0.00068786, 0.00073481,\n         0.00076882, 0.00076474, 0.00067825, 0.00074545, 0.0007188 ],\n        [0.00069611, 0.00072383, 0.0007378 , 0.0007191 , 0.00070578,\n         0.00070561, 0.00071308, 0.00071552, 0.00071889, 0.00068771],\n        [0.00070627, 0.00072918, 0.00071445, 0.00070479, 0.00070977,\n         0.00071563, 0.00074584, 0.00069383, 0.00069311, 0.00073675],\n        [0.00071902, 0.00070978, 0.00069618, 0.00071284, 0.00071746,\n         0.0007392 , 0.00069718, 0.00073272, 0.00075823, 0.0006928 ],\n        [0.00075986, 0.00068486, 0.0007477 , 0.0007646 , 0.00072668,\n         0.00072847, 0.00073623, 0.00069015, 0.00073076, 0.0007171 ],\n        [0.00075525, 0.00073466, 0.00070806, 0.00073625, 0.0007413 ,\n         0.00069931, 0.00068578, 0.00073588, 0.0007013 , 0.00070249],\n        [0.00067049, 0.00070685, 0.00075463, 0.00072892, 0.00069403,\n         0.00073816, 0.00070297, 0.00071536, 0.00073317, 0.00068304],\n        [0.00069906, 0.00071797, 0.00076624, 0.00074145, 0.00073574,\n         0.00074601, 0.00070617, 0.00071349, 0.00065457, 0.00069397],\n        [0.00075699, 0.00072022, 0.00069218, 0.00066107, 0.00071479,\n         0.00070565, 0.00073379, 0.00073131, 0.00067352, 0.00073649]]),\n array([[0.00103622, 0.00113153, 0.0011035 , 0.00110317, 0.00113163,\n         0.00106786, 0.00107234, 0.00117335, 0.00110203, 0.00108351],\n        [0.00107091, 0.0010817 , 0.00100818, 0.00104887, 0.00112573,\n         0.00118429, 0.00117602, 0.0010329 , 0.00114692, 0.00110178],\n        [0.00106379, 0.00110846, 0.00113297, 0.00110121, 0.00108094,\n         0.00108008, 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0.00266141],\n        [0.00258054, 0.00254038, 0.00247981, 0.00255539, 0.00257727,\n         0.00267162, 0.00248692, 0.00265967, 0.00277095, 0.00245615],\n        [0.0027851 , 0.00243698, 0.00273051, 0.00279538, 0.00262408,\n         0.00263073, 0.00265982, 0.00245112, 0.00264198, 0.00256932],\n        [0.00274319, 0.00265897, 0.00253767, 0.00266168, 0.00269428,\n         0.0024926 , 0.00242676, 0.00265777, 0.00250342, 0.00250234],\n        [0.00237094, 0.00252422, 0.00274904, 0.00263275, 0.00245918,\n         0.00267392, 0.00252783, 0.00257382, 0.00264152, 0.00243841],\n        [0.00250262, 0.00258218, 0.00280771, 0.00269518, 0.00266523,\n         0.00271834, 0.00252274, 0.00255552, 0.00230065, 0.00246457],\n        [0.00275664, 0.00258732, 0.00246985, 0.00231796, 0.00257301,\n         0.00251187, 0.00265627, 0.00265062, 0.00237891, 0.00266999]]),\n array([[0.00365672, 0.00407182, 0.00395975, 0.00395708, 0.00409082,\n         0.0038095 , 0.00383036, 0.00427546, 0.00394265, 0.00386855],\n        [0.00382642, 0.00384613, 0.00352178, 0.00370839, 0.00403542,\n         0.0043148 , 0.00426307, 0.00363823, 0.00416399, 0.00395616],\n        [0.00378585, 0.00396898, 0.00408992, 0.00394299, 0.00387204,\n         0.0038626 , 0.00391409, 0.00392931, 0.00394547, 0.00371838],\n        [0.00383582, 0.00403712, 0.00392241, 0.00384394, 0.00387897,\n         0.00392303, 0.00412704, 0.00378213, 0.00376129, 0.0040781 ],\n        [0.00394582, 0.00388094, 0.0037825 , 0.0039059 , 0.00394201,\n         0.00409441, 0.00379513, 0.00408197, 0.0042621 , 0.00374058],\n        [0.00428802, 0.00371599, 0.00419896, 0.00430018, 0.00402047,\n         0.00403076, 0.00407581, 0.00373516, 0.00404948, 0.00392648],\n        [0.00421087, 0.00407698, 0.00387856, 0.00407957, 0.0041368 ,\n         0.00380282, 0.00369362, 0.00407227, 0.0038212 , 0.00381687],\n        [0.00360788, 0.00385342, 0.00422397, 0.00403403, 0.00374454,\n         0.00410103, 0.00386781, 0.0039388 , 0.00404413, 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0.00569003],\n        [0.00659273, 0.00565964, 0.00644834, 0.0066058 , 0.00615201,\n         0.00616788, 0.00623746, 0.00568516, 0.00619875, 0.00599305],\n        [0.00645501, 0.006243  , 0.00592067, 0.00624459, 0.00634316,\n         0.00579478, 0.00561532, 0.00623144, 0.00582558, 0.00581493],\n        [0.00548395, 0.00587536, 0.00648138, 0.00617317, 0.00569502,\n         0.00628152, 0.0059108 , 0.00602012, 0.0061835 , 0.00567515],\n        [0.00583487, 0.00603801, 0.00664479, 0.00634579, 0.00626124,\n         0.00641035, 0.00587335, 0.00595966, 0.00530062, 0.00571607],\n        [0.00649767, 0.00604544, 0.00574624, 0.00533187, 0.00602021,\n         0.00583432, 0.00623732, 0.0062293 , 0.00549813, 0.00627557]]),\n array([[0.0084306 , 0.00950357, 0.00922635, 0.00921784, 0.00957647,\n         0.008844  , 0.00889962, 0.0100584 , 0.00916862, 0.00898522],\n        [0.00889232, 0.00890909, 0.00806667, 0.00855976, 0.00939529,\n         0.01014952, 0.00999533, 0.00837787, 0.0097744 , 0.00922199],\n        [0.0087754 , 0.00923457, 0.00956549, 0.00917441, 0.00901275,\n         0.00898119, 0.00911234, 0.00914965, 0.00918435, 0.00859508],\n        [0.00888452, 0.00943703, 0.00913251, 0.00892178, 0.00901161,\n         0.00912718, 0.00964314, 0.00877683, 0.00870944, 0.00953111],\n        [0.00918472, 0.00901837, 0.00876346, 0.00908552, 0.00918142,\n         0.00957221, 0.00880076, 0.00957054, 0.01003427, 0.00864002],\n        [0.01011442, 0.00860456, 0.00988203, 0.01012588, 0.0093951 ,\n         0.0094195 , 0.00952651, 0.00863775, 0.00946992, 0.0091299 ],\n        [0.00987457, 0.00954065, 0.00902098, 0.00953947, 0.00970639,\n         0.00881403, 0.00852185, 0.00951641, 0.00886502, 0.00884271],\n        [0.00832128, 0.00894162, 0.00992437, 0.00942797, 0.00864605,\n         0.00960194, 0.0090159 , 0.00918357, 0.00943595, 0.00863729],\n        [0.00888754, 0.00920953, 0.01019295, 0.00971079, 0.00957114,\n         0.00981695, 0.00893965, 0.00907824, 0.0080281 , 0.00868438],\n        [0.00994802, 0.00921736, 0.00874364, 0.00806887, 0.0091852 ,\n         0.00887003, 0.0095325 , 0.00952426, 0.00833953, 0.00959537]]),\n array([[0.01275623, 0.01446062, 0.01402873, 0.01401411, 0.01459258,\n         0.01342537, 0.0135149 , 0.01536126, 0.01392787, 0.01364203],\n        [0.01350523, 0.01350887, 0.01216808, 0.01295847, 0.01427904,\n         0.01549871, 0.01523986, 0.01266918, 0.01491299, 0.01402512],\n        [0.01331138, 0.01403121, 0.01456926, 0.01394039, 0.01369826,\n         0.01364327, 0.01385032, 0.01390821, 0.01395857, 0.01302093],\n        [0.01347125, 0.01437065, 0.01388145, 0.01354138, 0.01368359,\n         0.01386832, 0.01468016, 0.01332107, 0.01320491, 0.01451205],\n        [0.0139588 , 0.01369545, 0.0132902 , 0.0138039 , 0.01395798,\n         0.01457659, 0.01335257, 0.01459471, 0.01533007, 0.01308398],\n        [0.01546641, 0.01304648, 0.01509578, 0.01547087, 0.0143048 ,\n         0.01434206, 0.01450563, 0.01308825, 0.01442354, 0.01386843],\n        [0.01505775, 0.01453566, 0.0137055 , 0.01452843, 0.01480652,\n         0.01336922, 0.01289843, 0.01448895, 0.01345256, 0.01340964],\n        [0.01259385, 0.01356975, 0.01514772, 0.01435553, 0.01309076,\n         0.01463241, 0.0137128 , 0.01396846, 0.0143559 , 0.01310973],\n        [0.01349926, 0.01400582, 0.01558406, 0.01481378, 0.01458591,\n         0.01498631, 0.01356842, 0.01378902, 0.01212881, 0.0131582 ],\n        [0.01518173, 0.01401243, 0.01326794, 0.01218042, 0.01397319,\n         0.01344773, 0.01452408, 0.01451761, 0.01261652, 0.01462622]]),\n array([[0.0192248 , 0.02190228, 0.02123607, 0.02121157, 0.0221326 ,\n         0.02029397, 0.02043629, 0.02334385, 0.02106461, 0.02062342],\n        [0.02042384, 0.02039686, 0.01828623, 0.01953846, 0.02160348,\n         0.02354914, 0.02312287, 0.01908333, 0.02264428, 0.02123515],\n        [0.0201077 , 0.02122491, 0.02208755, 0.02108901, 0.02072958,\n         0.02063627, 0.02095969, 0.02104868, 0.02112097, 0.01964563],\n        [0.02033974, 0.02178348, 0.02100732, 0.02046547, 0.02068821,\n         0.02098002, 0.02224388, 0.02013349, 0.01993803, 0.02199401],\n        [0.02112082, 0.02070844, 0.02007127, 0.02088132, 0.02112584,\n         0.0220943 , 0.02017374, 0.0221525 , 0.02330516, 0.01973288],\n        [0.02353216, 0.01970068, 0.02294821, 0.0235194 , 0.02168114,\n         0.02173752, 0.02198519, 0.01975076, 0.02186744, 0.02097422],\n        [0.02285094, 0.02204319, 0.02073265, 0.02202415, 0.02247936,\n         0.02019359, 0.01944437, 0.0219581 , 0.02032787, 0.0202498 ],\n        [0.01898555, 0.02050557, 0.02300777, 0.02175867, 0.01973957,\n         0.02219423, 0.02076603, 0.02115239, 0.02174167, 0.01981608],\n        [0.02041678, 0.02120554, 0.02370658, 0.02249115, 0.0221247 ,\n         0.0227676 , 0.02050604, 0.02085324, 0.01825553, 0.01985483],\n        [0.02305606, 0.02120761, 0.02004942, 0.01831808, 0.02116287,\n         0.02030207, 0.02202696, 0.02202628, 0.01901223, 0.02219061]]),\n array([[0.02880135, 0.03294421, 0.0319314 , 0.03189131, 0.03333287,\n         0.0304819 , 0.03070453, 0.03520979, 0.03164776, 0.03097633],\n        [0.03068916, 0.03060121, 0.02732697, 0.02928134, 0.03246305,\n         0.03551171, 0.03482548, 0.02857562, 0.03413557, 0.0319367 ],\n        [0.03018345, 0.03189282, 0.03325133, 0.03169221, 0.03116578,\n         0.0310116 , 0.03150939, 0.03164426, 0.03174644, 0.02946   ],\n        [0.03051561, 0.03279246, 0.03158123, 0.03073214, 0.03107584,\n         0.03152958, 0.03346762, 0.03023831, 0.02991741, 0.0331015 ],\n        [0.0317455 , 0.0311094 , 0.03012261, 0.03138044, 0.03176219,\n         0.03325498, 0.03028755, 0.03338714, 0.03516468, 0.02957845],\n        [0.03553351, 0.02956627, 0.03462905, 0.03548567, 0.03263579,\n         0.03271991, 0.03308969, 0.02962185, 0.03292353, 0.03151216],\n        [0.03442544, 0.03319468, 0.03115875, 0.03315437, 0.033884  ,\n         0.03030936, 0.02913597, 0.03304654, 0.03052191, 0.03038606],\n        [0.02845313, 0.03078789, 0.03468973, 0.03275261, 0.02958322,\n         0.03342683, 0.03124145, 0.03181754, 0.03270142, 0.02976759],\n        [0.03068151, 0.03189189, 0.03578808, 0.03390277, 0.03332432,\n         0.03433772, 0.03079223, 0.03133031, 0.02732291, 0.02977478],\n        [0.03475703, 0.03188332, 0.03010732, 0.02739382, 0.03183805,\n         0.03045629, 0.03317237, 0.0331848 , 0.02848186, 0.03342987]]),\n array([[0.042767  , 0.04904204, 0.04753479, 0.04747108, 0.04967487,\n         0.04535127, 0.04569191, 0.05251469, 0.04707988, 0.04607881],\n        [0.04567406, 0.04547636, 0.04049872, 0.04348751, 0.04828794,\n         0.05294857, 0.05187514, 0.04241507, 0.05090354, 0.04755219],\n        [0.04488476, 0.04744666, 0.04953502, 0.04715647, 0.04640092,\n         0.04615374, 0.04690383, 0.04710407, 0.04724524, 0.04377629],\n        [0.04535055, 0.04885727, 0.04701002, 0.04570926, 0.04622852,\n         0.04691868, 0.04982633, 0.04498874, 0.04447664, 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0.13965038],\n        [0.13229162, 0.13908353, 0.14492136, 0.13839558, 0.13664506,\n         0.13587237, 0.13788525, 0.13839946, 0.13868411, 0.12914201],\n        [0.13329842, 0.14322985, 0.13815448, 0.1345043 , 0.13591281,\n         0.13781182, 0.14544164, 0.13273012, 0.13113094, 0.14424847],\n        [0.13867044, 0.13608273, 0.13197492, 0.13724854, 0.1388623 ,\n         0.14484336, 0.13275214, 0.14595054, 0.15292738, 0.1294069 ],\n        [0.15460981, 0.12988619, 0.15104213, 0.15404538, 0.1426189 ,\n         0.14291668, 0.14422569, 0.12981082, 0.14377535, 0.13762304],\n        [0.14951673, 0.1448575 , 0.13645201, 0.14454668, 0.14781712,\n         0.13271829, 0.12759821, 0.14403487, 0.13366938, 0.13289392],\n        [0.12508829, 0.13464731, 0.15085592, 0.14304864, 0.12934854,\n         0.14576929, 0.13722585, 0.13928655, 0.14249953, 0.1310521 ],\n        [0.13463993, 0.13948137, 0.15539843, 0.14789912, 0.14542711,\n         0.14972722, 0.13471574, 0.13694965, 0.12024101, 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0.18447111],\n        [0.19867365, 0.19324117, 0.18313564, 0.19283052, 0.19679899,\n         0.17854139, 0.17220866, 0.1922004 , 0.17971865, 0.17871529],\n        [0.16921496, 0.18087229, 0.20032647, 0.19108187, 0.17432479,\n         0.1943169 , 0.18419221, 0.1865897 , 0.19033137, 0.17667393],\n        [0.18098476, 0.18679329, 0.20568474, 0.1968977 , 0.19393062,\n         0.19907639, 0.1809695 , 0.18367875, 0.16317766, 0.17559105],\n        [0.20049292, 0.18650972, 0.17795698, 0.16299159, 0.18677906,\n         0.17884867, 0.193191  , 0.19352117, 0.16909514, 0.19450453]]),\n array([[0.22002771, 0.24254436, 0.23779442, 0.23752772, 0.24531458,\n         0.23025091, 0.23153241, 0.25443729, 0.23582085, 0.23252758],\n        [0.23155405, 0.22982211, 0.21058775, 0.22264829, 0.23960107,\n         0.25546817, 0.25160579, 0.21851478, 0.24952872, 0.23799802],\n        [0.22832546, 0.2370345 , 0.24460875, 0.23623164, 0.23422182,\n         0.2331314 , 0.23572085, 0.23635971, 0.23664367, 0.22402744],\n        [0.22942696, 0.242593  , 0.2360524 , 0.23120837, 0.23304511,\n         0.23552984, 0.24504476, 0.22903884, 0.22674643, 0.24372865],\n        [0.23662004, 0.23328614, 0.22786472, 0.23483166, 0.23694242,\n         0.24445585, 0.22895374, 0.24617567, 0.25457978, 0.22423893],\n        [0.25670886, 0.22521856, 0.25246195, 0.25582135, 0.24183958,\n         0.24218795, 0.24371524, 0.22492295, 0.24328578, 0.23521375],\n        [0.25019382, 0.24462842, 0.23386946, 0.24415192, 0.24839603,\n         0.22883104, 0.22181942, 0.24346679, 0.23013167, 0.22897453],\n        [0.21862061, 0.23134178, 0.25198493, 0.24235346, 0.2241109 ,\n         0.2457463 , 0.23514135, 0.23760793, 0.24145533, 0.22698506],\n        [0.23160116, 0.23779041, 0.25751416, 0.24850054, 0.24536455,\n         0.25078156, 0.23146294, 0.23438699, 0.21184398, 0.22556116],\n        [0.25212492, 0.23743689, 0.22828886, 0.21151284, 0.23782852,\n         0.22907239, 0.2445879 , 0.24499106, 0.21842943, 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0.27703619],\n        [0.26728949, 0.27927343, 0.29790337, 0.28943044, 0.27237942,\n         0.29244462, 0.28301915, 0.28516766, 0.28851284, 0.27542201],\n        [0.2796619 , 0.28529675, 0.30268842, 0.29493634, 0.29213045,\n         0.29695089, 0.27940313, 0.28210935, 0.26065866, 0.27382038],\n        [0.29799144, 0.28492068, 0.27654386, 0.26019933, 0.28538815,\n         0.2770771 , 0.29143994, 0.29185803, 0.26704178, 0.29268883]]),\n array([[0.30844285, 0.32428364, 0.32134088, 0.32114554, 0.32628023,\n         0.31623443, 0.31715808, 0.33169676, 0.31986551, 0.31770039],\n        [0.3172068 , 0.31558464, 0.30069438, 0.31039298, 0.32223063,\n         0.33215804, 0.32975344, 0.30720787, 0.32891966, 0.32153163],\n        [0.31476983, 0.3206577 , 0.32574766, 0.32019858, 0.31908413,\n         0.31825062, 0.31999848, 0.3204056 , 0.32051562, 0.31154332],\n        [0.3153265 , 0.32457253, 0.32020683, 0.31677947, 0.31805344,\n         0.31977463, 0.32581666, 0.31541281, 0.3135941 , 0.32515601],\n        [0.32049383, 0.31823935, 0.31439806, 0.31933012, 0.32078419,\n         0.32559832, 0.31523778, 0.32699695, 0.33188797, 0.31155329],\n        [0.33320294, 0.31261606, 0.33081097, 0.33250337, 0.32410616,\n         0.32430328, 0.32516208, 0.31220193, 0.32502026, 0.31948918],\n        [0.32908261, 0.32585545, 0.31874242, 0.32547133, 0.32827242,\n         0.31507217, 0.30976712, 0.3249958 , 0.31604189, 0.31508579],\n        [0.30755632, 0.31681913, 0.33029517, 0.32440848, 0.31140813,\n         0.32653562, 0.31987456, 0.32134678, 0.32363281, 0.31411309],\n        [0.31726809, 0.3214024 , 0.33352948, 0.32833915, 0.32634032,\n         0.32974538, 0.31693527, 0.31897009, 0.3021447 , 0.31260165],\n        [0.33031968, 0.32106955, 0.31486679, 0.30162489, 0.32152908,\n         0.31506373, 0.32585264, 0.32621081, 0.30729127, 0.32674734]]),\n array([[0.33353692, 0.3421199 , 0.34078673, 0.34067621, 0.34322734,\n         0.33815845, 0.33867224, 0.34551736, 0.33993279, 0.33886126],\n        [0.3387207 , 0.3375755 , 0.32856505, 0.33466574, 0.34102143,\n         0.34560274, 0.34450181, 0.3327505 , 0.34444392, 0.34092051],\n        [0.33729329, 0.34032113, 0.34291745, 0.34014161, 0.33973502,\n         0.33924125, 0.34013722, 0.34032957, 0.34033065, 0.33541102],\n        [0.33744891, 0.34243828, 0.34023354, 0.33836793, 0.33904491,\n         0.33995791, 0.34280402, 0.33773509, 0.33661384, 0.34261579],\n        [0.34031551, 0.33915619, 0.33706033, 0.33974813, 0.34051371,\n         0.34281042, 0.33756368, 0.34368331, 0.34567608, 0.3353222 ],\n        [0.3462691 , 0.3361502 , 0.345353  , 0.34584775, 0.34222745,\n         0.34230311, 0.34262893, 0.33578682, 0.34265442, 0.33976239],\n        [0.34434125, 0.34303512, 0.33948896, 0.34279702, 0.34418937,\n         0.33742121, 0.33429763, 0.34254463, 0.33798219, 0.33737031],\n        [0.33312876, 0.33835351, 0.34496422, 0.34235267, 0.33520618,\n         0.34333439, 0.34025542, 0.34087872, 0.34184211, 0.33713014],\n        [0.33877241, 0.34086162, 0.34629733, 0.34422101, 0.34327549,\n         0.34485312, 0.33843678, 0.33952261, 0.32975268, 0.33596988],\n        [0.3449315 , 0.34062732, 0.33742774, 0.32926783, 0.34099465,\n         0.33729772, 0.3430499 , 0.34329003, 0.33289503, 0.34347879]]),\n array([[0.3415941 , 0.34273196, 0.34293648, 0.34291452, 0.34292395,\n         0.34279101, 0.34287882, 0.34229962, 0.34273967, 0.34274742],\n        [0.34291819, 0.34236871, 0.33980624, 0.34184604, 0.34260113,\n         0.3420703 , 0.34220863, 0.34131795, 0.34278031, 0.34299986],\n        [0.34257029, 0.34273139, 0.34284919, 0.34281008, 0.34304899,\n         0.34292019, 0.34296426, 0.34294823, 0.34286133, 0.34212519],\n        [0.34237193, 0.34301559, 0.34295261, 0.34269036, 0.3427605 ,\n         0.34285375, 0.34261043, 0.34276802, 0.34241817, 0.34283514],\n        [0.34285433, 0.34279109, 0.3424926 , 0.34287178, 0.34294194,\n         0.34279566, 0.34263092, 0.34308752, 0.34240346, 0.34197188],\n        [0.34231398, 0.34245781, 0.34273961, 0.34219082, 0.34304841,\n         0.34301276, 0.34285153, 0.34220199, 0.34300639, 0.34276659],\n        [0.34248451, 0.34295316, 0.34292532, 0.3428757 , 0.3428859 ,\n         0.34253324, 0.34175547, 0.34284839, 0.3426602 , 0.34243924],\n        [0.34165235, 0.34263479, 0.34252332, 0.3430086 , 0.34190068,\n         0.34289267, 0.34325588, 0.34308085, 0.34280441, 0.34283786],\n        [0.34295265, 0.34300838, 0.34210008, 0.34288372, 0.34295369,\n         0.3427822 , 0.34267623, 0.34279614, 0.34056367, 0.34217517],\n        [0.34245099, 0.3428964 , 0.34271058, 0.3401946 , 0.34312207,\n         0.34233885, 0.34297929, 0.3430808 , 0.34148661, 0.34295669]]),\n array([[0.33444968, 0.32946061, 0.33085663, 0.33090862, 0.3288955 ,\n         0.33271326, 0.33244713, 0.32605449, 0.33121424, 0.33208119],\n        [0.33247292, 0.33248697, 0.33551536, 0.33395788, 0.33012002,\n         0.32561008, 0.32670986, 0.33462801, 0.32769443, 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0.14838272,\n         0.15260421, 0.14530961, 0.14509453, 0.15764371, 0.1446713 ]]),\n array([[0.1357802 , 0.12625644, 0.12815864, 0.12827522, 0.12504531,\n         0.1312859 , 0.1307377 , 0.12138831, 0.12903099, 0.13037499],\n        [0.13071623, 0.13159576, 0.14009604, 0.1346533 , 0.12751635,\n         0.1210147 , 0.12261155, 0.13647229, 0.12332283, 0.12805513],\n        [0.13213621, 0.12853499, 0.12536201, 0.12884041, 0.12958793,\n         0.13007383, 0.12900156, 0.12874461, 0.12865521, 0.1340097 ],\n        [0.13175491, 0.12615055, 0.1288693 , 0.1309299 , 0.13015989,\n         0.12911459, 0.12525103, 0.13178372, 0.13282228, 0.12573286],\n        [0.1286671 , 0.13005185, 0.13234743, 0.12939483, 0.12850731,\n         0.12544173, 0.13186272, 0.12463702, 0.12129887, 0.1339756 ],\n        [0.12042039, 0.13342271, 0.12209919, 0.12083147, 0.12645314,\n         0.12631952, 0.12573353, 0.13362569, 0.12586553, 0.12927148],\n        [0.12312848, 0.12532271, 0.12977114, 0.12554445, 0.1237675 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0.09670675, 0.08939114, 0.09538422, 0.09643324],\n        [0.09668727, 0.09741064, 0.10415386, 0.09981884, 0.09420697,\n         0.08910855, 0.09036568, 0.10126056, 0.09089303, 0.09460284],\n        [0.09781633, 0.09499666, 0.09249729, 0.09523037, 0.0957983 ,\n         0.09618639, 0.09534594, 0.09514607, 0.09508199, 0.09930069],\n        [0.09753419, 0.09310705, 0.09524331, 0.09686965, 0.09626457,\n         0.09544183, 0.09242513, 0.09752837, 0.09835971, 0.09279014],\n        [0.09509177, 0.09617817, 0.09798592, 0.09565962, 0.0949608 ,\n         0.0925635 , 0.09759953, 0.09191097, 0.08931401, 0.09928567],\n        [0.08862247, 0.09882201, 0.08992777, 0.088956  , 0.09334275,\n         0.09324007, 0.09278961, 0.09899793, 0.0928835 , 0.09557041],\n        [0.09075768, 0.0924597 , 0.09594983, 0.09263924, 0.09123769,\n         0.09766968, 0.10010402, 0.09287192, 0.09721939, 0.09765493],\n        [0.10111572, 0.0968452 , 0.0901492 , 0.09318735, 0.09934874,\n         0.0921104 , 0.09543929, 0.09470334, 0.09354215, 0.09814781],\n        [0.0966613 , 0.09466712, 0.08840993, 0.09120372, 0.09221777,\n         0.09047592, 0.09679359, 0.09582555, 0.10352036, 0.09880842],\n        [0.0901231 , 0.09481583, 0.0977822 , 0.10374596, 0.09461945,\n         0.09765648, 0.09246516, 0.09230238, 0.1012297 , 0.09201476]]),\n array([[0.08642455, 0.07983921, 0.08113207, 0.08121394, 0.07898618,\n         0.08328131, 0.08290059, 0.07649023, 0.08174702, 0.08266496],\n        [0.0828825 , 0.08352958, 0.08946885, 0.0856446 , 0.08071866,\n         0.07624624, 0.07735109, 0.08691398, 0.07780215, 0.08105566],\n        [0.08387831, 0.0814077 , 0.0792114 , 0.08161043, 0.08210146,\n         0.08244443, 0.08170765, 0.081533  , 0.08147911, 0.08518529],\n        [0.08363742, 0.07974296, 0.08161807, 0.08304807, 0.08251708,\n         0.0817945 , 0.07915378, 0.08362144, 0.08435671, 0.07946905],\n        [0.08148786, 0.08244067, 0.08402848, 0.08198472, 0.08137085,\n         0.07927088, 0.08368735, 0.07869032, 0.0764199 , 0.08517662],\n        [0.0758121 , 0.08475868, 0.07695313, 0.07610901, 0.07994908,\n         0.07985981, 0.07946818, 0.08491929, 0.07954686, 0.08190938],\n        [0.0776899 , 0.07917585, 0.08223733, 0.07933548, 0.07810296,\n         0.08375129, 0.08589546, 0.07954056, 0.08335453, 0.08374101],\n        [0.08677806, 0.0830282 , 0.07715314, 0.07981363, 0.08523362,\n         0.07887031, 0.08178179, 0.08114167, 0.08013017, 0.08416011],\n        [0.08285888, 0.08111178, 0.07562933, 0.07807313, 0.07896321,\n         0.07743491, 0.08298197, 0.08213196, 0.08889643, 0.08475487],\n        [0.07713182, 0.08124498, 0.08384463, 0.08910349, 0.08106709,\n         0.08374514, 0.07918001, 0.07903451, 0.08688206, 0.07878469]]),\n array([[0.07403944, 0.06828349, 0.06940842, 0.06948032, 0.06753372,\n         0.071284  , 0.07095082, 0.06535858, 0.06994893, 0.07074857],\n        [0.07093422, 0.07150932, 0.07671331, 0.07335781, 0.06905448,\n         0.06514863, 0.06611528, 0.07446969, 0.06649988, 0.06934044],\n        [0.07180799, 0.06965317, 0.06773221, 0.06982833, 0.07025128,\n         0.0705528 , 0.06990986, 0.06975791, 0.06971274, 0.07295297],\n        [0.07160303, 0.06819369, 0.069832  , 0.0710833 , 0.07061951,\n         0.06998791, 0.06768647, 0.07158028, 0.07222706, 0.06795781],\n        [0.06972052, 0.07055231, 0.07194024, 0.07015333, 0.06961663,\n         0.06778528, 0.07164065, 0.06727168, 0.06529499, 0.07294905],\n        [0.06476318, 0.07257511, 0.06575654, 0.06502601, 0.06837317,\n         0.06829588, 0.06795673, 0.07272042, 0.06802246, 0.0700899 ],\n        [0.0664071 , 0.06769907, 0.07037229, 0.0678402 , 0.06676137,\n         0.07169842, 0.07357736, 0.06802008, 0.07135058, 0.0716916 ],\n        [0.07434385, 0.07106723, 0.0659359 , 0.0682556 , 0.07300017,\n         0.06743295, 0.06996832, 0.06941381, 0.06853631, 0.07204675],\n        [0.0709129 , 0.06938923, 0.06460651, 0.06673528, 0.06751305,\n         0.06617807, 0.07102608, 0.07028326, 0.07620015, 0.07257835],\n        [0.06591854, 0.06950778, 0.07177556, 0.07638832, 0.06934789,\n         0.07169743, 0.06770219, 0.06757294, 0.0744379 , 0.06735679]]),\n array([[0.06334064, 0.05832856, 0.05930409, 0.05936697, 0.0576722 ,\n         0.06093491, 0.06064446, 0.05578298, 0.05977721, 0.06047136],\n        [0.06062936, 0.06113788, 0.06567901, 0.06274725, 0.05900188,\n         0.05560279, 0.05644553, 0.06371723, 0.05677266, 0.05924391],\n        [0.06139294, 0.05952034, 0.05784638, 0.05967122, 0.06003444,\n         0.06029842, 0.0597394 , 0.05960766, 0.05956989, 0.06239202],\n        [0.06121904, 0.05824576, 0.05967196, 0.06076273, 0.06035914,\n         0.05980911, 0.05781033, 0.06119207, 0.06175859, 0.05804319],\n        [0.05957677, 0.06030027, 0.06150892, 0.05995248, 0.05948499,\n         0.05789349, 0.06124688, 0.05744118, 0.05572587, 0.06239159],\n        [0.0552622 , 0.06205895, 0.05612421, 0.05549382, 0.05840151,\n         0.05833479, 0.05804199, 0.06218949, 0.05809676, 0.05989921],\n        [0.05669618, 0.05781585, 0.06014166, 0.05794007, 0.05699923,\n         0.06129872, 0.06293864, 0.05809723, 0.06099499, 0.06129454],\n        [0.06360194, 0.06074979, 0.05628411, 0.05829978, 0.06243714,\n         0.05758485, 0.05978516, 0.05930633, 0.05854753, 0.06159469],\n        [0.06061025, 0.05928619, 0.05512824, 0.0569765 , 0.05765371,\n         0.0564917 , 0.06071336, 0.06006662, 0.06522184, 0.06206713],\n        [0.05627003, 0.05939114, 0.06136227, 0.06539149, 0.05924833,\n         0.06130144, 0.05781816, 0.0577039 , 0.06368638, 0.05751744]]),\n array([[0.05412634, 0.0497751 , 0.0506188 , 0.05067361, 0.04920235,\n         0.0520327 , 0.05178027, 0.04756587, 0.05103158, 0.05163246],\n        [0.05176663, 0.05221446, 0.05616429, 0.05361137, 0.05036131,\n         0.04741155, 0.04814415, 0.05445482, 0.04842186, 0.05056575],\n        [0.05243178, 0.05080911, 0.0493547 , 0.05093876, 0.05124996,\n         0.05148031, 0.05099565, 0.05088174, 0.05085023, 0.05330077],\n        [0.05228454, 0.04969944, 0.05093739, 0.05188533, 0.05153516,\n         0.0510576 , 0.04932647, 0.05225527, 0.05274981, 0.04952588],\n        [0.05085629, 0.05148378, 0.05253312, 0.05118152, 0.05077552,\n         0.04939633, 0.05230469, 0.04899944, 0.04751486, 0.05330284],\n        [0.04711174, 0.05300834, 0.04785783, 0.04731513, 0.04983423,\n         0.04977678, 0.04952462, 0.05312493, 0.04957016, 0.05113688],\n        [0.04835897, 0.04932681, 0.05134455, 0.04943576, 0.04861767,\n         0.05235096, 0.05377768, 0.04957265, 0.05208659, 0.05234876],\n        [0.05435007, 0.05187496, 0.04799972, 0.04974644, 0.05334325,\n         0.04912683, 0.05103116, 0.05061874, 0.04996426, 0.05260188],\n        [0.05174961, 0.05060228, 0.04699743, 0.04859793, 0.0491859 ,\n         0.04817729, 0.05184285, 0.05128144, 0.05575901, 0.05301982],\n        [0.04798834, 0.05069482, 0.05240316, 0.05591103, 0.05056788,\n         0.05235625, 0.04932848, 0.04922788, 0.05442545, 0.04906742]]),\n array([[0.04620953, 0.04244114, 0.04316923, 0.04321689, 0.04194265,\n         0.04439222, 0.04417338, 0.04052815, 0.04352842, 0.0440474 ],\n        [0.04416114, 0.04455419, 0.04798075, 0.04576372, 0.04295023,\n         0.04039622, 0.0410316 , 0.04649526, 0.04126698, 0.04312262],\n        [0.04473902, 0.04333617, 0.04207553, 0.04344737, 0.0437135 ,\n         0.04391396, 0.04349476, 0.04339648, 0.04337024, 0.04549293],\n        [0.04461458, 0.04237249, 0.04344453, 0.04426632, 0.04396323,\n         0.04354958, 0.0420536 , 0.04458441, 0.04501493, 0.04222406],\n        [0.04337556, 0.0439185 , 0.04482733, 0.04365646, 0.04330471,\n         0.04211219, 0.04462873, 0.04176497, 0.04048279, 0.04549673],\n        [0.04013313, 0.04523699, 0.04077755, 0.0403112 , 0.0424889 ,\n         0.04243953, 0.04222279, 0.04534065, 0.04226058, 0.04361912],\n        [0.04121539, 0.04205024, 0.04379666, 0.04214551, 0.04143585,\n         0.04466983, 0.04590787, 0.04226445, 0.04444031, 0.04466911],\n        [0.04640071, 0.04425805, 0.04090297, 0.04241329, 0.04553243,\n         0.0418775 , 0.04352205, 0.04316753, 0.04260419, 0.04488219],\n        [0.04414603, 0.04315413, 0.04003574, 0.04141874, 0.04192807,\n         0.04105461, 0.04422984, 0.04374367, 0.04762292, 0.04525054],\n        [0.04089381, 0.04323544, 0.04471259, 0.04775844, 0.04312308,\n         0.04467682, 0.04205141, 0.04196312, 0.0464677 , 0.04182529]]),\n array([[0.03942055, 0.03616335, 0.03679058, 0.03683193, 0.03573042,\n         0.03784643, 0.0376571 , 0.03450995, 0.03710246, 0.03754987],\n        [0.03764616, 0.03799019, 0.0409565 , 0.03903539, 0.03660458,\n         0.03439731, 0.03494732, 0.03966853, 0.03514657, 0.03674974],\n        [0.03814716, 0.03693663, 0.03584606, 0.03703184, 0.03725909,\n         0.03743316, 0.03707125, 0.03698661, 0.0369648 , 0.03879987],\n        [0.03804214, 0.03610145, 0.03702803, 0.03773905, 0.03747721,\n         0.03711962, 0.03582919, 0.03801209, 0.03838603, 0.03597468],\n        [0.03696945, 0.03743835, 0.03822393, 0.03721163, 0.03690748,\n         0.03587825, 0.03805164, 0.03557522, 0.03446977, 0.03880481],\n        [0.03416705, 0.03857644, 0.0347227 , 0.03432257, 0.0362018 ,\n         0.03615943, 0.03597344, 0.03866825, 0.03600475, 0.03718044],\n        [0.03510435, 0.03582327, 0.037332  , 0.03590638, 0.03529198,\n         0.03808801, 0.03916008, 0.0360095 , 0.03788917, 0.03808837],\n        [0.03958365, 0.03773248, 0.03483321, 0.03613679, 0.03883625,\n         0.03567431, 0.03709199, 0.03678775, 0.03630367, 0.03826748],\n        [0.0376328 , 0.03677686, 0.03408418, 0.03527718, 0.03571755,\n         0.03496253, 0.03770776, 0.03728757, 0.0406416 , 0.03859112],\n        [0.03482586, 0.03684812, 0.03812297, 0.04076192, 0.03674899,\n         0.03809604, 0.03582405, 0.03574676, 0.03964295, 0.03562857]]),\n array([[0.03360777, 0.03079695, 0.03133651, 0.03137233, 0.03042163,\n         0.03224666, 0.03208312, 0.02937009, 0.03160683, 0.03199197],\n        [0.03207338, 0.03237383, 0.03493725, 0.03327556, 0.03117871,\n         0.02927403, 0.0297494 , 0.03382259, 0.02991788, 0.03130082],\n        [0.03250698, 0.03146401, 0.03052207, 0.03154543, 0.03173924,\n         0.03189012, 0.03157816, 0.03150536, 0.03148725, 0.03307111],\n        [0.03241845, 0.0307414 , 0.03154102, 0.03215518, 0.03192934,\n         0.0316207 , 0.03050923, 0.03238923, 0.03271343, 0.03063327],\n        [0.03149132, 0.03189564, 0.03257359, 0.0316998 , 0.03143722,\n         0.03055027, 0.03242439, 0.03028634, 0.0293346 , 0.03307675],\n        [0.02907293, 0.03287647, 0.02955137, 0.02920849, 0.03082778,\n         0.03079148, 0.03063208, 0.03295754, 0.03065798, 0.03167378],\n        [0.0298834 , 0.03050163, 0.03180301, 0.03057398, 0.03004291,\n         0.03245648, 0.03338323, 0.03066325, 0.03228451, 0.0324576 ],\n        [0.03374673, 0.03215   , 0.02964849, 0.03077196, 0.03310436,\n         0.03037336, 0.03159369, 0.03133295, 0.03091754, 0.03260796],\n        [0.0320616 , 0.03132413, 0.0290025 , 0.03003012, 0.03041029,\n         0.02975865, 0.03212839, 0.03176581, 0.03466089, 0.03289161],\n        [0.02964262, 0.03138642, 0.03248498, 0.03476735, 0.03129922,\n         0.03246506, 0.03050211, 0.03043461, 0.03379906, 0.03033338]]),\n array([[0.02863711, 0.02621473, 0.02667833, 0.0267093 , 0.02588982,\n         0.02746188, 0.02732081, 0.02498493, 0.02691227, 0.0272434 ],\n        [0.02731217, 0.02757405, 0.02978613, 0.02835096, 0.02654458,\n         0.02490308, 0.0253134 , 0.02882292, 0.02545574, 0.02664718],\n        [0.02768688, 0.02678941, 0.02597694, 0.02685897, 0.02702409,\n         0.02715468, 0.02688611, 0.02682359, 0.02680857, 0.02817377],\n        [0.02761233, 0.02616509, 0.02685423, 0.02738402, 0.02718948,\n         0.02692344, 0.02596729, 0.02758442, 0.02786507, 0.02607295],\n        [0.02681212, 0.0271603 , 0.02774459, 0.02699136, 0.02676499,\n         0.02600159, 0.02761557, 0.0257721 , 0.02495366, 0.02817977],\n        [0.02472777, 0.02800452, 0.02513925, 0.02484572, 0.02623936,\n         0.02620828, 0.02607182, 0.0280759 , 0.02609321, 0.02696969],\n        [0.02542764, 0.02595867, 0.02707976, 0.02602156, 0.02556312,\n         0.02764382, 0.0284438 , 0.02609871, 0.02749529, 0.02764545],\n        [0.02875538, 0.02737996, 0.02522441, 0.02619148, 0.02820396,\n         0.02584836, 0.02689754, 0.02667433, 0.02631824, 0.02777155],\n        [0.02730181, 0.0266672 , 0.02466796, 0.0255521 , 0.02587986,\n         0.02531816, 0.0273611 , 0.02704864, 0.02954414, 0.02801961],\n        [0.02521974, 0.02672155, 0.02766699, 0.02963806, 0.02664502,\n         0.02765257, 0.02595893, 0.02590009, 0.02880144, 0.02581347]]),\n array([[0.02439098, 0.02230567, 0.0227036 , 0.02273036, 0.02202475,\n         0.02337745, 0.0232559 , 0.02124682, 0.02290582, 0.02319022],\n        [0.02324826, 0.02347616, 0.02538278, 0.02414478, 0.02259033,\n         0.02117714, 0.02153093, 0.0245515 , 0.0216511 , 0.02267648],\n        [0.02357169, 0.02280025, 0.0221002 , 0.02285962, 0.02300018,\n         0.02311306, 0.0228821 , 0.02282844, 0.02281601, 0.02399142],\n        [0.02350897, 0.02226146, 0.02285476, 0.02331124, 0.02314385,\n         0.02291479, 0.02209308, 0.02348267, 0.0237253 , 0.022183  ],\n        [0.0228191 , 0.02311862, 0.02362162, 0.02297305, 0.02277809,\n         0.02212171, 0.0235102 , 0.02192247, 0.02121935, 0.02399753],\n        [0.02102456, 0.02384447, 0.02137811, 0.02112704, 0.02232525,\n         0.02229868, 0.02218195, 0.02390718, 0.0221996 , 0.02295502],\n        [0.02162824, 0.02208395, 0.02304869, 0.02213852, 0.02174323,\n         0.023535  , 0.02422475, 0.02220514, 0.02340688, 0.02353697],\n        [0.02449155, 0.02330808, 0.02145263, 0.02228423, 0.02401869,\n         0.02198917, 0.02289031, 0.02269939, 0.02239443, 0.02364262],\n        [0.02323917, 0.02269365, 0.02097379, 0.02173373, 0.02201602,\n         0.02153235, 0.02329166, 0.02302268, 0.0251713 , 0.02385916],\n        [0.02144893, 0.02274099, 0.0235538 , 0.02525396, 0.02267396,\n         0.02354368, 0.02208404, 0.02203282, 0.024532  , 0.02195878]]),\n array([[0.02076688, 0.01897339, 0.01931468, 0.01933777, 0.01873076,\n         0.01989367, 0.01978904, 0.01806254, 0.01948928, 0.01973334],\n        [0.0197823 , 0.01998035, 0.02162206, 0.02055525, 0.01921882,\n         0.01800325, 0.01830801, 0.02090539, 0.0184094 , 0.01929109],\n        [0.02006119, 0.01939864, 0.01879604, 0.01944928, 0.01956886,\n         0.01966633, 0.01946788, 0.01942187, 0.01941159, 0.02042266],\n        [0.02000846, 0.01893414, 0.01944446, 0.0198374 , 0.0196935 ,\n         0.01949646, 0.0187909 , 0.01998394, 0.02019348, 0.01886738],\n        [0.01941428, 0.01967171, 0.02010434, 0.0195464 , 0.01937866,\n         0.01881478, 0.02000821, 0.01864201, 0.01803844, 0.02042871],\n        [0.01787062, 0.02029523, 0.01817415, 0.01795955, 0.01898888,\n         0.01896617, 0.0188664 , 0.02035022, 0.01888094, 0.01953141],\n        [0.01839086, 0.01878161, 0.01961107, 0.01882892, 0.0184884 ,\n         0.02002995, 0.02062406, 0.01888637, 0.01991954, 0.0200321 ],\n        [0.02085233, 0.01983497, 0.01823926, 0.01895376, 0.02044718,\n         0.01870025, 0.01947358, 0.01931041, 0.01904945, 0.02012055],\n        [0.01977434, 0.01930581, 0.01782757, 0.01848022, 0.01872312,\n         0.01830702, 0.01982069, 0.01958936, 0.02143755, 0.02030929],\n        [0.01823635, 0.01934699, 0.02004516, 0.02151014, 0.01928838,\n         0.02003836, 0.01878158, 0.01873706, 0.02088778, 0.01867381]]),\n array([[0.01767587, 0.01613456, 0.01642708, 0.01644698, 0.01592519,\n         0.01692418, 0.0168342 , 0.01535161, 0.0165777 , 0.01678699],\n        [0.01682826, 0.01700017, 0.0184126 , 0.01749409, 0.01634598,\n         0.01530119, 0.01556351, 0.01779528, 0.01564901, 0.01640658],\n        [0.01706853, 0.01649993, 0.01598161, 0.0165431 , 0.01664476,\n         0.01672885, 0.01655847, 0.01651905, 0.01651055, 0.01737958],\n        [0.01702423, 0.01609981, 0.01653841, 0.0168764 , 0.01675278,\n         0.01658342, 0.01597801, 0.01700158, 0.01718237, 0.01604303],\n        [0.01651289, 0.01673398, 0.01710579, 0.01662619, 0.01648198,\n         0.01599792, 0.01702293, 0.01584825, 0.0153305 , 0.01738544],\n        [0.01518604, 0.0172692 , 0.01544645, 0.01526312, 0.01614675,\n         0.01612735, 0.01604213, 0.01731733, 0.01605409, 0.01661374],\n        [0.01563401, 0.01596884, 0.01668145, 0.0160098 , 0.0157167 ,\n         0.01704195, 0.01755325, 0.01605932, 0.01694688, 0.01704419],\n        [0.01774843, 0.01687454, 0.01550325, 0.0161167 , 0.01740154,\n         0.01589904, 0.01656224, 0.01642286, 0.01619969, 0.01711818],\n        [0.0168213 , 0.01641918, 0.01514954, 0.01570966, 0.01591851,\n         0.0155608 , 0.01686213, 0.01666334, 0.01825183, 0.01728246],\n        [0.01550097, 0.01645496, 0.01705421, 0.01831547, 0.01640379,\n         0.01704996, 0.01596872, 0.01593007, 0.01777945, 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0.00537395,\n         0.00531605, 0.00511135, 0.00545714, 0.00552042, 0.00513201],\n        [0.00529217, 0.00536736, 0.00549433, 0.00533035, 0.00528097,\n         0.00511681, 0.0054655 , 0.00506312, 0.0048883 , 0.00559173],\n        [0.00483841, 0.00554872, 0.00492643, 0.00486618, 0.00516593,\n         0.00515956, 0.00513157, 0.00556706, 0.0051345 , 0.00532703],\n        [0.00499336, 0.00510562, 0.00534852, 0.00512029, 0.00501915,\n         0.00547273, 0.00564887, 0.0051375 , 0.00543988, 0.00547434],\n        [0.00571331, 0.00541591, 0.00494767, 0.00515595, 0.00559773,\n         0.00508205, 0.00530551, 0.00525978, 0.00518593, 0.00549521],\n        [0.00539526, 0.00525912, 0.00482703, 0.00501674, 0.0050883 ,\n         0.00496587, 0.00541139, 0.00534352, 0.00588613, 0.00555583],\n        [0.00494737, 0.00527218, 0.00547517, 0.00591058, 0.00525297,\n         0.00547719, 0.00510539, 0.00509134, 0.0057251 , 0.00507366]]),\n array([[0.00483759, 0.0043868 , 0.00447072, 0.00447668, 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0.00146189],\n        [0.00146495, 0.00148403, 0.00162502, 0.0015325 , 0.00141988,\n         0.00131664, 0.00134304, 0.0015625 , 0.00134945, 0.00142397],\n        [0.00148937, 0.00143433, 0.00138266, 0.00143814, 0.00144679,\n         0.00145548, 0.00143889, 0.00143515, 0.00143474, 0.00152051],\n        [0.00148627, 0.0013937 , 0.001437  , 0.00147067, 0.00145856,\n         0.00144183, 0.00138333, 0.00148206, 0.00150077, 0.00138885],\n        [0.001435  , 0.00145661, 0.00149326, 0.00144587, 0.00143158,\n         0.00138452, 0.00148478, 0.00136829, 0.00131839, 0.00152191],\n        [0.00130383, 0.00150855, 0.00132898, 0.00131225, 0.00139821,\n         0.00139645, 0.00138869, 0.00151439, 0.0013892 , 0.00144518],\n        [0.00134912, 0.00138093, 0.00145091, 0.00138536, 0.00135587,\n         0.00148708, 0.00153836, 0.00139041, 0.00147749, 0.00148779],\n        [0.00155631, 0.00147078, 0.00133563, 0.00139541, 0.00152379,\n         0.0013742 , 0.00143785, 0.00142518, 0.00140454, 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0.00129325],\n        [0.00110658, 0.00128172, 0.00112808, 0.00111383, 0.00118733,\n         0.00118583, 0.00117922, 0.00128677, 0.00117963, 0.00122756],\n        [0.00114539, 0.00117256, 0.00123242, 0.00117636, 0.0011511 ,\n         0.0012634 , 0.00130732, 0.00118069, 0.00125518, 0.00126403],\n        [0.00132262, 0.00124946, 0.00113382, 0.00118494, 0.00129487,\n         0.00116681, 0.00122117, 0.00121039, 0.00119279, 0.00126797],\n        [0.00124369, 0.00121039, 0.00110406, 0.0011505 , 0.00116824,\n         0.00113793, 0.00124827, 0.00123151, 0.00136553, 0.00128418],\n        [0.00113388, 0.00121384, 0.00126352, 0.00137232, 0.00120862,\n         0.00126497, 0.00117244, 0.00116874, 0.00132586, 0.00116459]]),\n array([[0.00111966, 0.00100849, 0.0010288 , 0.00103031, 0.00099251,\n         0.00106419, 0.00105763, 0.00095177, 0.00104026, 0.0010549 ],\n        [0.00105705, 0.0010712 , 0.00117457, 0.00110667, 0.00102427,\n         0.00094866, 0.00096804, 0.00112866, 0.00097256, 0.0010271 ],\n        [0.00107499, 0.00103478, 0.00099691, 0.00103754, 0.00104375,\n         0.00105015, 0.00103802, 0.00103529, 0.00103503, 0.00109783],\n        [0.00107283, 0.00100494, 0.00103665, 0.00106133, 0.00105246,\n         0.00104021, 0.00099748, 0.00106958, 0.00108335, 0.00100145],\n        [0.00103522, 0.00105103, 0.00107786, 0.00104316, 0.00103269,\n         0.00099829, 0.00107163, 0.00098628, 0.00094985, 0.00109893],\n        [0.00093916, 0.00108898, 0.00095753, 0.0009454 , 0.00100823,\n         0.00100696, 0.00100133, 0.00109335, 0.00100165, 0.0010427 ],\n        [0.00097241, 0.00099561, 0.00104682, 0.00099888, 0.00097724,\n         0.00107335, 0.00111096, 0.00100259, 0.0010663 , 0.0010739 ],\n        [0.00112399, 0.00106143, 0.00096249, 0.0010062 , 0.00110032,\n         0.00099069, 0.00103714, 0.00102795, 0.00101296, 0.00107717],\n        [0.00105643, 0.00102797, 0.00093703, 0.00097673, 0.00099191,\n         0.00096597, 0.0010604 , 0.00104607, 0.00116073, 0.00109115],\n        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array([[0.00068717, 0.00061758, 0.00063022, 0.00063116, 0.00060749,\n         0.00065233, 0.00064821, 0.00058205, 0.00063744, 0.00064656],\n        [0.00064784, 0.00065685, 0.00072171, 0.00067904, 0.0006275 ,\n         0.00058015, 0.00059232, 0.00069283, 0.000595  , 0.00062913],\n        [0.00065912, 0.00063402, 0.00061027, 0.00063572, 0.0006395 ,\n         0.00064354, 0.00063596, 0.00063427, 0.00063413, 0.00067345],\n        [0.00065787, 0.00061526, 0.00063511, 0.00065059, 0.00064504,\n         0.00063737, 0.00061071, 0.00065568, 0.00066437, 0.00061313],\n        [0.00063426, 0.00064414, 0.00066093, 0.0006392 , 0.00063264,\n         0.00061116, 0.00065701, 0.00060353, 0.00058081, 0.00067421],\n        [0.0005741 , 0.00066783, 0.00058556, 0.00057806, 0.00061731,\n         0.00061652, 0.00061304, 0.00067065, 0.0006132 , 0.00063895],\n        [0.000595  , 0.00060942, 0.00064146, 0.0006115 , 0.00059791,\n         0.00065812, 0.00068173, 0.00061384, 0.00065369, 0.0006585 ],\n        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0.00041257, 0.00043066, 0.00043763,\n         0.00042573, 0.00046904, 0.00046247, 0.00051499, 0.00048317],\n        [0.00042427, 0.00045554, 0.0004749 , 0.00051783, 0.00045338,\n         0.00047569, 0.00043927, 0.00043777, 0.00049947, 0.00043619]]),\n array([[0.0004217 , 0.00037816, 0.00038602, 0.00038662, 0.0003718 ,\n         0.00039983, 0.00039725, 0.00035592, 0.00039058, 0.00039626],\n        [0.00039701, 0.00040275, 0.00044341, 0.00041662, 0.0003844 ,\n         0.00035477, 0.0003624 , 0.00042526, 0.00036399, 0.00038533],\n        [0.0004041 , 0.00038845, 0.00037356, 0.00038948, 0.00039179,\n         0.00039433, 0.0003896 , 0.00038855, 0.00038849, 0.00041309],\n        [0.00040338, 0.00037665, 0.00038907, 0.00039877, 0.00039531,\n         0.00039051, 0.00037388, 0.00040192, 0.00040739, 0.00037535],\n        [0.00038856, 0.00039474, 0.00040524, 0.00039164, 0.00038754,\n         0.00037413, 0.00040278, 0.00036929, 0.00035513, 0.0004136 ],\n        [0.00035091, 0.00040952, 0.00035806, 0.00035343, 0.00037793,\n         0.00037744, 0.0003753 , 0.00041134, 0.00037536, 0.00039151],\n        [0.00036404, 0.00037301, 0.00039304, 0.00037433, 0.0003658 ,\n         0.00040349, 0.0004183 , 0.0003758 , 0.00040071, 0.00040375],\n        [0.00042329, 0.00039884, 0.0003601 , 0.00037715, 0.00041417,\n         0.0003711 , 0.00038913, 0.00038563, 0.00037988, 0.0004048 ],\n        [0.00039675, 0.00038567, 0.00035014, 0.00036559, 0.00037155,\n         0.00036138, 0.00039842, 0.00039281, 0.00043773, 0.00041051],\n        [0.00036015, 0.00038688, 0.00040342, 0.00044018, 0.00038502,\n         0.00040412, 0.00037296, 0.00037167, 0.00042445, 0.00037032]]),\n array([[0.00035835, 0.00032112, 0.00032783, 0.00032834, 0.00031567,\n         0.00033963, 0.00033742, 0.0003021 , 0.00033173, 0.00033659],\n        [0.00033721, 0.00034215, 0.00037694, 0.00035401, 0.00032646,\n         0.00030112, 0.00030765, 0.00036141, 0.00030899, 0.00032724],\n        [0.00034329, 0.00032991, 0.00031718, 0.0003308 , 0.00033275,\n         0.00033493, 0.00033089, 0.00032999, 0.00032994, 0.00035098],\n        [0.00034268, 0.00031981, 0.00033044, 0.00033874, 0.00033577,\n         0.00033167, 0.00031746, 0.00034141, 0.00034611, 0.00031871],\n        [0.00033001, 0.00033528, 0.00034427, 0.00033264, 0.00032912,\n         0.00031766, 0.00034215, 0.00031351, 0.00030141, 0.00035143],\n        [0.00029781, 0.00034792, 0.00030391, 0.00029997, 0.0003209 ,\n         0.00032049, 0.00031866, 0.00034949, 0.00031871, 0.00033253],\n        [0.00030904, 0.0003167 , 0.00033383, 0.00031783, 0.00031053,\n         0.00034277, 0.00035545, 0.00031909, 0.00034039, 0.000343  ],\n        [0.0003597 , 0.0003388 , 0.00030567, 0.00032024, 0.00035192,\n         0.00031507, 0.00033046, 0.00032748, 0.00032259, 0.00034386],\n        [0.00033699, 0.00032752, 0.00029715, 0.00031036, 0.00031546,\n         0.00030675, 0.00033844, 0.00033364, 0.00037205, 0.00034878],\n        [0.00030571, 0.00032856, 0.0003427 , 0.00037417, 0.00032696,\n 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0.00022888, 0.00024635, 0.0002498 , 0.00022978],\n        [0.00023803, 0.00024189, 0.00024846, 0.00023995, 0.00023738,\n         0.00022901, 0.00024691, 0.00022595, 0.00021713, 0.00025371],\n        [0.00021448, 0.00025111, 0.00021894, 0.00021608, 0.00023137,\n         0.00023107, 0.00022974, 0.00025228, 0.00022976, 0.00023988],\n        [0.00022272, 0.0002283 , 0.00024081, 0.00022913, 0.00022378,\n         0.00024736, 0.00025665, 0.00023005, 0.00024562, 0.00024754],\n        [0.00025974, 0.00024446, 0.00022024, 0.00023088, 0.00025408,\n         0.00022711, 0.00023833, 0.00023617, 0.00023262, 0.00024813],\n        [0.00024312, 0.00023621, 0.00021401, 0.00022366, 0.00022739,\n         0.00022102, 0.0002442 , 0.00024069, 0.00026878, 0.00025177],\n        [0.00022028, 0.00023698, 0.00024729, 0.00027036, 0.00023579,\n         0.00024779, 0.00022826, 0.00022744, 0.00026048, 0.00022661]]),\n array([[0.0002199 , 0.00019662, 0.00020079, 0.00020112, 0.00019319,\n         0.00020816, 0.00020677, 0.00018472, 0.00020325, 0.00020627],\n        [0.00020664, 0.00020978, 0.00023157, 0.00021719, 0.00019997,\n         0.00018413, 0.00018822, 0.00022182, 0.00018901, 0.00020042],\n        [0.00021046, 0.00020212, 0.00019414, 0.00020266, 0.00020385,\n         0.00020522, 0.0002027 , 0.00020214, 0.00020212, 0.00021528],\n        [0.00021011, 0.00019577, 0.00020242, 0.00020761, 0.00020576,\n         0.0002032 , 0.00019434, 0.00020927, 0.00021222, 0.0001951 ],\n        [0.00020216, 0.00020546, 0.00021107, 0.0002038 , 0.0002016 ,\n         0.00019445, 0.00020974, 0.00019182, 0.00018428, 0.00021557],\n        [0.00018202, 0.00021334, 0.00018583, 0.00018339, 0.00019645,\n         0.0001962 , 0.00019507, 0.00021434, 0.00019509, 0.00020374],\n        [0.00018907, 0.00019383, 0.00020453, 0.00019455, 0.00018997,\n         0.00021014, 0.00021809, 0.00019534, 0.00020865, 0.00021029],\n        [0.00022071, 0.00020766, 0.00018695, 0.00019604, 0.00021589,\n         0.00019281, 0.0002024 , 0.00020056, 0.00019753, 0.00021077],\n        [0.0002065 , 0.00020059, 0.00018163, 0.00018986, 0.00019305,\n         0.00018761, 0.00020743, 0.00020443, 0.00022845, 0.00021391],\n        [0.00018698, 0.00020125, 0.00021007, 0.00022981, 0.00020023,\n         0.00021051, 0.0001938 , 0.00019309, 0.00022136, 0.00019239]]),\n array([[0.00018686, 0.00016696, 0.00017052, 0.0001708 , 0.00016402,\n         0.00017681, 0.00017563, 0.00015679, 0.00017263, 0.00017521],\n        [0.00017551, 0.00017821, 0.00019686, 0.00018454, 0.00016983,\n         0.00015628, 0.00015979, 0.00018851, 0.00016045, 0.0001702 ],\n        [0.00017878, 0.00017166, 0.00016484, 0.00017212, 0.00017313,\n         0.0001743 , 0.00017215, 0.00017167, 0.00017166, 0.00018291],\n        [0.00017849, 0.00016623, 0.00017191, 0.00017635, 0.00017477,\n         0.00017258, 0.00016501, 0.00017776, 0.00018029, 0.00016566],\n        [0.00017169, 0.00017451, 0.00017931, 0.00017309, 0.00017121,\n         0.0001651 , 0.00017817, 0.00016284, 0.00015641, 0.00018317],\n        [0.00015447, 0.00018124, 0.00015772, 0.00015565, 0.00016681,\n         0.00016659, 0.00016563, 0.00018211, 0.00016564, 0.00017305],\n        [0.00016051, 0.00016457, 0.00017371, 0.00016518, 0.00016127,\n         0.00017851, 0.00018531, 0.00016586, 0.00017723, 0.00017865],\n        [0.00018755, 0.00017639, 0.00015869, 0.00016646, 0.00018344,\n         0.0001637 , 0.00017188, 0.00017032, 0.00016774, 0.00017904],\n        [0.00017539, 0.00017035, 0.00015414, 0.00016117, 0.0001639 ,\n         0.00015925, 0.0001762 , 0.00017363, 0.00019417, 0.00018174],\n        [0.00015872, 0.00017092, 0.00017845, 0.00019534, 0.00017004,\n         0.00017884, 0.00016454, 0.00016394, 0.00018811, 0.00016333]]),\n array([[0.00015879, 0.00014177, 0.00014481, 0.00014505, 0.00013925,\n         0.00015019, 0.00014918, 0.00013308, 0.00014662, 0.00014882],\n        [0.00014908, 0.00015139, 0.00016735, 0.00015681, 0.00014423,\n         0.00013265, 0.00013565, 0.0001602 , 0.0001362 , 0.00014453],\n        [0.00015187, 0.00014579, 0.00013995, 0.00014618, 0.00014704,\n         0.00014804, 0.0001462 , 0.00014579, 0.00014578, 0.0001554 ],\n        [0.00015163, 0.00014114, 0.000146  , 0.0001498 , 0.00014845,\n         0.00014657, 0.00014011, 0.000151  , 0.00015317, 0.00014066],\n        [0.00014582, 0.00014822, 0.00015233, 0.00014701, 0.0001454 ,\n         0.00014018, 0.00015135, 0.00013824, 0.00013275, 0.00015563],\n        [0.00013109, 0.00015397, 0.00013387, 0.0001321 , 0.00014164,\n         0.00014145, 0.00014063, 0.00015472, 0.00014064, 0.00014698],\n        [0.00013626, 0.00013972, 0.00014754, 0.00014025, 0.0001369 ,\n         0.00015165, 0.00015747, 0.00014083, 0.00015055, 0.00015177],\n        [0.00015937, 0.00014984, 0.0001347 , 0.00014134, 0.00015587,\n         0.00013898, 0.00014597, 0.00014464, 0.00014244, 0.00015209],\n        [0.00014897, 0.00014466, 0.00013081, 0.00013682, 0.00013915,\n         0.00013517, 0.00014967, 0.00014747, 0.00016503, 0.00015441],\n        [0.00013473, 0.00014515, 0.00015159, 0.00016605, 0.00014439,\n         0.00015193, 0.0001397 , 0.00013918, 0.00015985, 0.00013867]]),\n array([[0.00013493, 0.00012039, 0.00012298, 0.00012318, 0.00011823,\n         0.00012757, 0.00012671, 0.00011295, 0.00012453, 0.00012641],\n        [0.00012662, 0.00012861, 0.00014226, 0.00013324, 0.00012249,\n         0.00011259, 0.00011515, 0.00013614, 0.00011562, 0.00012274],\n        [0.00012902, 0.00012382, 0.00011883, 0.00012415, 0.00012488,\n         0.00012574, 0.00012417, 0.00012382, 0.00012381, 0.00013204],\n        [0.00012882, 0.00011984, 0.00012399, 0.00012724, 0.00012609,\n         0.00012448, 0.00011897, 0.00012826, 0.00013012, 0.00011943],\n        [0.00012384, 0.0001259 , 0.00012941, 0.00012486, 0.00012348,\n         0.00011903, 0.00012857, 0.00011736, 0.00011267, 0.00013224],\n        [0.00011125, 0.00013081, 0.00011362, 0.00011212, 0.00012026,\n         0.00012011, 0.00011941, 0.00013145, 0.00011941, 0.00012483],\n        [0.00011567, 0.00011863, 0.00012531, 0.00011908, 0.00011621,\n         0.00012882, 0.0001338 , 0.00011958, 0.00012789, 0.00012893],\n        [0.00013543, 0.00012728, 0.00011434, 0.00012001, 0.00013244,\n         0.000118  , 0.00012396, 0.00012283, 0.00012095, 0.00012919],\n        [0.00012653, 0.00012285, 0.00011101, 0.00011615, 0.00011814,\n         0.00011474, 0.00012713, 0.00012526, 0.00014027, 0.00013119],\n        [0.00011436, 0.00012327, 0.00012877, 0.00014114, 0.00012262,\n         0.00012907, 0.00011861, 0.00011816, 0.00013584, 0.00011773]]),\n array([[1.14660002e-04, 1.02225744e-04, 1.04440197e-04, 1.04612969e-04,\n         1.00375471e-04, 1.08363688e-04, 1.07624167e-04, 9.58687584e-05,\n         1.05763614e-04, 1.07367809e-04],\n        [1.07549508e-04, 1.09258236e-04, 1.20935446e-04, 1.13214417e-04,\n         1.04027612e-04, 9.55591812e-05, 9.77556487e-05, 1.15694344e-04,\n         9.81442983e-05, 1.04233560e-04],\n        [1.09599610e-04, 1.05160233e-04, 1.00890966e-04, 1.05442621e-04,\n         1.06057217e-04, 1.06796052e-04, 1.05451454e-04, 1.05155376e-04,\n         1.05150976e-04, 1.12183218e-04],\n        [1.09433365e-04, 1.01754423e-04, 1.05303558e-04, 1.08085352e-04,\n         1.07097988e-04, 1.05725494e-04, 1.01014677e-04, 1.08952679e-04,\n         1.10545621e-04, 1.01406938e-04],\n        [1.05174263e-04, 1.06931698e-04, 1.09932979e-04, 1.06044000e-04,\n         1.04869197e-04, 1.01060361e-04, 1.09217988e-04, 9.96321329e-05,\n         9.56259254e-05, 1.12355689e-04],\n        [9.44138660e-05, 1.11129220e-04, 9.64361477e-05, 9.51581119e-05,\n         1.02115228e-04, 1.01981020e-04, 1.01388873e-04, 1.11683191e-04,\n         1.01386276e-04, 1.06024375e-04],\n        [9.81948215e-05, 1.00718509e-04, 1.06429991e-04, 1.01106792e-04,\n         9.86532895e-05, 1.09435134e-04, 1.13696342e-04, 1.01532316e-04,\n         1.08634175e-04, 1.09526589e-04],\n        [1.15078667e-04, 1.08114193e-04, 9.70512597e-05, 1.01896895e-04,\n         1.12529030e-04, 1.00177885e-04, 1.05270166e-04, 1.04305554e-04,\n         1.02708130e-04, 1.09742314e-04],\n        [1.07470950e-04, 1.04327315e-04, 9.42110371e-05, 9.85952048e-05,\n         1.00301095e-04, 9.73917943e-05, 1.07989195e-04, 1.06386196e-04,\n         1.19221241e-04, 1.11460167e-04],\n        [9.70741072e-05, 1.04688746e-04, 1.09382888e-04, 1.19973567e-04,\n         1.04126046e-04, 1.09649153e-04, 1.00700792e-04, 1.00316144e-04,\n         1.15433666e-04, 9.99461572e-05]]),\n array([[9.74336382e-05, 8.68044093e-05, 8.86941906e-05, 8.88421382e-05,\n         8.52193860e-05, 9.20461679e-05, 9.14137142e-05, 8.13698395e-05,\n         8.98277942e-05, 9.11972694e-05],\n        [9.13493155e-05, 9.28169747e-05, 1.02805806e-04, 9.61983114e-05,\n         8.83467144e-05, 8.11072889e-05, 8.29864067e-05, 9.83194335e-05,\n         8.33122094e-05, 8.85166685e-05],\n        [9.31042235e-05, 8.93125325e-05, 8.56613037e-05, 8.95525005e-05,\n         9.00734271e-05, 9.07062977e-05, 8.95575673e-05, 8.93049508e-05,\n         8.93025722e-05, 9.53144293e-05],\n        [9.29662704e-05, 8.63974403e-05, 8.94314439e-05, 9.18105629e-05,\n         9.09667537e-05, 8.97933889e-05, 8.57703157e-05, 9.25488854e-05,\n         9.39135133e-05, 8.61027831e-05],\n        [8.93225742e-05, 9.08242893e-05, 9.33899138e-05, 9.00650780e-05,\n         8.90606013e-05, 8.58069066e-05, 9.27777011e-05, 8.45813958e-05,\n         8.11607515e-05, 9.54646077e-05],\n        [8.01238046e-05, 9.44098508e-05, 8.18506255e-05, 8.07624999e-05,\n         8.67054646e-05, 8.65912237e-05, 8.60871104e-05, 9.48870268e-05,\n         8.60827710e-05, 9.00500489e-05],\n        [8.33590386e-05, 8.55124095e-05, 9.03937371e-05, 8.58455389e-05,\n         8.37464817e-05, 9.29647102e-05, 9.66103945e-05, 8.62098247e-05,\n         9.22792839e-05, 9.30444860e-05],\n        [9.77878776e-05, 9.18361682e-05, 8.23796999e-05, 8.65193552e-05,\n         9.56137418e-05, 8.50507814e-05, 8.93980408e-05, 8.85769318e-05,\n         8.72158250e-05, 9.32206084e-05],\n        [9.12816776e-05, 8.85966398e-05, 7.99523724e-05, 8.36968060e-05,\n         8.51553746e-05, 8.26681459e-05, 9.17287757e-05, 9.03585115e-05,\n         1.01331070e-04, 9.46976471e-05],\n        [8.24001025e-05, 8.89071579e-05, 9.29167616e-05, 1.01979525e-04,\n         8.84229381e-05, 9.31509136e-05, 8.54969071e-05, 8.51665700e-05,\n         9.80936590e-05, 8.48517190e-05]]),\n array([[8.27952319e-05, 7.37093869e-05, 7.53220551e-05, 7.54487365e-05,\n         7.23516971e-05, 7.81856625e-05, 7.76448016e-05, 6.90636235e-05,\n         7.62929965e-05, 7.74620628e-05],\n        [7.75892660e-05, 7.88497096e-05, 8.73938893e-05, 8.17396182e-05,\n         7.50294346e-05, 6.88409565e-05, 7.04484741e-05, 8.35537669e-05,\n         7.07215485e-05, 7.51695667e-05],\n        [7.90913923e-05, 7.58529999e-05, 7.27305037e-05, 7.60569190e-05,\n         7.64984497e-05, 7.70405129e-05, 7.60591543e-05, 7.58436247e-05,\n         7.58427579e-05, 8.09820675e-05],\n        [7.89769813e-05, 7.33580818e-05, 7.59516004e-05, 7.79862308e-05,\n         7.72651333e-05, 7.62620522e-05, 7.28264349e-05, 7.86147324e-05,\n         7.97836847e-05, 7.31082222e-05],\n        [7.58599366e-05, 7.71430902e-05, 7.93362034e-05, 7.64938010e-05,\n         7.56349971e-05, 7.28556375e-05, 7.88120289e-05, 7.18041907e-05,\n         6.88836284e-05, 8.11127572e-05],\n        [6.79965533e-05, 8.02058069e-05, 6.94710230e-05, 6.85445989e-05,\n         7.36210384e-05, 7.35237944e-05, 7.30946310e-05, 8.06167552e-05,\n         7.30891343e-05, 7.64824285e-05],\n        [7.07646463e-05, 7.26019890e-05, 7.67736414e-05, 7.28877669e-05,\n         7.10920602e-05, 7.89730536e-05, 8.20919665e-05, 7.31996057e-05,\n         7.83865284e-05, 7.90425939e-05],\n        [8.30949535e-05, 7.80089213e-05, 6.99260139e-05, 7.34623990e-05,\n         8.12410448e-05, 7.22078274e-05, 7.59189491e-05, 7.52199996e-05,\n         7.40602661e-05, 7.91861479e-05],\n        [7.75310410e-05, 7.52377791e-05, 6.78516605e-05, 7.10495785e-05,\n         7.22966164e-05, 7.01703374e-05, 7.79166665e-05, 7.67453974e-05,\n         8.61253545e-05, 8.04559451e-05],\n        [6.99441886e-05, 7.55045199e-05, 7.89292929e-05, 8.66841713e-05,\n         7.50879075e-05, 7.91349657e-05, 7.25884364e-05, 7.23047788e-05,\n         8.33582924e-05, 7.20368495e-05]]),\n array([[7.03560183e-05, 6.25897754e-05, 6.39659300e-05, 6.40743943e-05,\n         6.14269053e-05, 6.64122326e-05, 6.59497220e-05, 5.86185236e-05,\n         6.47974887e-05, 6.57954463e-05],\n        [6.59018407e-05, 6.69841937e-05, 7.42923301e-05, 6.94540040e-05,\n         6.37195230e-05, 5.84296820e-05, 5.98047702e-05, 7.10055367e-05,\n         6.00336119e-05, 6.38349622e-05],\n        [6.71875191e-05, 6.44217748e-05, 6.17515836e-05, 6.45950601e-05,\n         6.49692935e-05, 6.54335450e-05, 6.45952022e-05, 6.44113191e-05,\n         6.44115623e-05, 6.88047784e-05],\n        [6.70926888e-05, 6.22866025e-05, 6.45034856e-05, 6.62434227e-05,\n         6.56272155e-05, 6.47697436e-05, 6.18358991e-05, 6.67784351e-05,\n         6.77796984e-05, 6.20747306e-05],\n        [6.44263143e-05, 6.55226743e-05, 6.73972841e-05, 6.49674195e-05,\n         6.42331965e-05, 6.18591100e-05, 6.69485162e-05, 6.09571048e-05,\n         5.84636043e-05, 6.89184445e-05],\n        [5.77047889e-05, 6.81387013e-05, 5.89637366e-05, 5.81749934e-05,\n         6.25110783e-05, 6.24283031e-05, 6.20629496e-05, 6.84925482e-05,\n         6.20567439e-05, 6.49589430e-05],\n        [6.00730367e-05, 6.16406888e-05, 6.52056907e-05, 6.18858194e-05,\n         6.03497158e-05, 6.70871415e-05, 6.97552640e-05, 6.21527439e-05,\n         6.65852746e-05, 6.71477202e-05],\n        [7.06096072e-05, 6.62634956e-05, 5.93549505e-05, 6.23758567e-05,\n         6.90287827e-05, 6.13041451e-05, 6.44721187e-05, 6.38771592e-05,\n         6.28890194e-05, 6.72645199e-05],\n        [6.58517278e-05, 6.38931435e-05, 5.75823293e-05, 6.03133884e-05,\n         6.13795179e-05, 5.95618994e-05, 6.61842548e-05, 6.51831241e-05,\n         7.32013204e-05, 6.83559981e-05],\n        [5.93711046e-05, 6.41222486e-05, 6.70473946e-05, 7.36827982e-05,\n         6.37638652e-05, 6.72278562e-05, 6.16288508e-05, 6.13853080e-05,\n         7.08363540e-05, 6.11573095e-05]]),\n array([[5.97856247e-05, 5.31475969e-05, 5.43218950e-05, 5.44147557e-05,\n         5.21516680e-05, 5.64116314e-05, 5.60161397e-05, 4.97530905e-05,\n         5.50340288e-05, 5.58858988e-05],\n        [5.59748669e-05, 5.69041820e-05, 6.31548133e-05, 5.90148855e-05,\n         5.41144185e-05, 4.95929362e-05, 5.07691304e-05, 6.03417612e-05,\n         5.09608718e-05, 5.42094251e-05],\n        [5.70752211e-05, 5.47132158e-05, 5.24299272e-05, 5.48604689e-05,\n         5.51776607e-05, 5.55752417e-05, 5.48590982e-05, 5.47022184e-05,\n         5.47032567e-05, 5.84585372e-05],\n        [5.69966693e-05, 5.28860299e-05, 5.47808882e-05, 5.62687435e-05,\n         5.57421893e-05, 5.50092214e-05, 5.25039477e-05, 5.67241701e-05,\n         5.75817399e-05, 5.27063707e-05],\n        [5.47159232e-05, 5.56526466e-05, 5.72549436e-05, 5.51778306e-05,\n         5.45501450e-05, 5.25223104e-05, 5.68707584e-05, 5.17485909e-05,\n         4.96197796e-05, 5.85573440e-05],\n        [4.89707205e-05, 5.78870607e-05, 5.00456082e-05, 4.93740920e-05,\n         5.30776502e-05, 5.30071916e-05, 5.26961632e-05, 5.81916857e-05,\n         5.26895877e-05, 5.51716355e-05],\n        [5.09967493e-05, 5.23342615e-05, 5.53807058e-05, 5.25445040e-05,\n         5.12305501e-05, 5.69900790e-05, 5.92724543e-05, 5.27729680e-05,\n         5.65606743e-05, 5.70428182e-05],\n        [6.00001771e-05, 5.62864726e-05, 5.03819287e-05, 5.29623915e-05,\n         5.86522302e-05, 5.20469227e-05, 5.47511607e-05, 5.42447232e-05,\n         5.34027991e-05, 5.71376652e-05],\n        [5.59317434e-05, 5.42590494e-05, 4.88672225e-05, 5.11994871e-05,\n         5.21109064e-05, 5.05572193e-05, 5.62184185e-05, 5.53627471e-05,\n         6.22166150e-05, 5.80757360e-05],\n        [5.03962578e-05, 5.44558036e-05, 5.69541291e-05, 6.26313809e-05,\n         5.41475618e-05, 5.71123091e-05, 5.23239291e-05, 5.21148546e-05,\n         6.01953825e-05, 5.19208372e-05]]),\n array([[5.08033022e-05, 4.51298168e-05, 4.61318420e-05, 4.62113385e-05,\n         4.42769274e-05, 4.79169223e-05, 4.75787538e-05, 4.22284336e-05,\n         4.67416591e-05, 4.74688076e-05],\n        [4.75431852e-05, 4.83410086e-05, 5.36869288e-05, 5.01447543e-05,\n         4.59571584e-05, 4.20926090e-05, 4.30986173e-05, 5.12794547e-05,\n         4.32592452e-05, 4.60352694e-05],\n        [4.84848742e-05, 4.64677330e-05, 4.45153829e-05, 4.65928645e-05,\n         4.68617075e-05, 4.72021687e-05, 4.65904337e-05, 4.64565947e-05,\n         4.64581829e-05, 4.96680316e-05],\n        [4.84198490e-05, 4.49042027e-05, 4.65237425e-05, 4.77959775e-05,\n         4.73460494e-05, 4.67195342e-05, 4.45802953e-05, 4.81836549e-05,\n         4.89181027e-05, 4.47518592e-05],\n        [4.64690575e-05, 4.72693588e-05, 4.86388454e-05, 4.68633479e-05,\n         4.63267649e-05, 4.45947445e-05, 4.83099688e-05, 4.39311360e-05,\n         4.21137388e-05, 4.97538779e-05],\n        [4.15585951e-05, 4.91777677e-05, 4.24762987e-05, 4.19045928e-05,\n         4.50677717e-05, 4.50077974e-05, 4.47430185e-05, 4.94399721e-05,\n         4.47363263e-05, 4.68589391e-05],\n        [4.32917472e-05, 4.44328757e-05, 4.70360840e-05, 4.46131769e-05,\n         4.34893105e-05, 4.84126553e-05, 5.03649596e-05, 4.48087094e-05,\n         4.80452698e-05, 4.84585424e-05],\n        [5.09848236e-05, 4.78116135e-05, 4.27653813e-05, 4.49695303e-05,\n         4.98354641e-05, 4.41875559e-05, 4.64958730e-05, 4.60647896e-05,\n         4.53474547e-05, 4.85353992e-05],\n        [4.75060825e-05, 4.60775944e-05, 4.14711245e-05, 4.34627504e-05,\n         4.42418713e-05, 4.29138557e-05, 4.77531739e-05, 4.70218568e-05,\n         5.28802476e-05, 4.93415151e-05],\n        [4.27780679e-05, 4.62465446e-05, 4.83802599e-05, 5.32374809e-05,\n         4.59814719e-05, 4.85187773e-05, 4.44238642e-05, 4.42444019e-05,\n         5.11528467e-05, 4.40793020e-05]]),\n array([[4.31704742e-05, 3.83215664e-05, 3.91765707e-05, 3.92446218e-05,\n         3.75912267e-05, 4.07013577e-05, 4.04122171e-05, 3.58417863e-05,\n         3.96987355e-05, 4.03194068e-05],\n        [4.03815706e-05, 4.10664302e-05, 4.56383937e-05, 4.26078045e-05,\n         3.90295080e-05, 3.57265954e-05, 3.65869922e-05, 4.35781226e-05,\n         3.67215314e-05, 3.90936585e-05],\n        [4.11874272e-05, 3.94648507e-05, 3.77955545e-05, 3.95711837e-05,\n         3.97990464e-05, 4.00905741e-05, 3.95680435e-05, 3.94538638e-05,\n         3.94558126e-05, 4.21993408e-05],\n        [4.11336364e-05, 3.81270110e-05, 3.95111756e-05, 4.05989877e-05,\n         4.02145489e-05, 3.96790480e-05, 3.78524218e-05, 4.09289922e-05,\n         4.15579525e-05, 3.79978304e-05],\n        [3.94651476e-05, 4.01488704e-05, 4.13193273e-05, 3.98017102e-05,\n         3.93430272e-05, 3.78637205e-05, 4.10378138e-05, 3.72946119e-05,\n         3.57431259e-05, 4.22738900e-05],\n        [3.52683377e-05, 4.17787884e-05, 3.60518141e-05, 3.55650886e-05,\n         3.82666309e-05, 3.82155813e-05, 3.79901765e-05, 4.20044411e-05,\n         3.79835526e-05, 3.97986900e-05],\n        [3.67508587e-05, 3.77244131e-05, 3.99487836e-05, 3.78790215e-05,\n         3.69177972e-05, 4.11261702e-05, 4.27960591e-05, 3.80463585e-05,\n         4.08118629e-05, 4.11660732e-05],\n        [4.33240466e-05, 4.06127589e-05, 3.63002544e-05, 3.81828957e-05,\n         4.23440306e-05, 3.75149744e-05, 3.94852796e-05, 3.91183407e-05,\n         3.85071656e-05, 4.12282065e-05],\n        [4.03496535e-05, 3.91297571e-05, 3.51944138e-05, 3.68950885e-05,\n         3.75610824e-05, 3.64260142e-05, 4.05625814e-05, 3.99375712e-05,\n         4.49448849e-05, 4.19208379e-05],\n        [3.63114677e-05, 3.92748146e-05, 4.10970739e-05, 4.52525123e-05,\n         3.90469009e-05, 4.12182640e-05, 3.77165592e-05, 3.75625335e-05,\n         4.34686487e-05, 3.74220421e-05]]),\n array([[3.66844021e-05, 3.25403872e-05, 3.32699245e-05, 3.33281744e-05,\n         3.19150338e-05, 3.45723296e-05, 3.43251197e-05, 3.04210443e-05,\n         3.37170056e-05, 3.42467776e-05],\n        [3.42987196e-05, 3.48865450e-05, 3.87964397e-05, 3.62036667e-05,\n         3.31461250e-05, 3.03233528e-05, 3.10591719e-05, 3.70333825e-05,\n         3.11718390e-05, 3.31987490e-05],\n        [3.49882981e-05, 3.35173148e-05, 3.20901033e-05, 3.36076732e-05,\n         3.38008014e-05, 3.40504119e-05, 3.36040927e-05, 3.35066868e-05,\n         3.35088512e-05, 3.58537133e-05],\n        [3.49438331e-05, 3.23726547e-05, 3.35556020e-05, 3.44856828e-05,\n         3.41572128e-05, 3.36995232e-05, 3.21398752e-05, 3.47665926e-05,\n         3.53051810e-05, 3.22631155e-05],\n        [3.35168638e-05, 3.41009690e-05, 3.51012830e-05, 3.38041428e-05,\n         3.34120674e-05, 3.21486453e-05, 3.48603257e-05, 3.16606291e-05,\n         3.03361920e-05, 3.59184218e-05],\n        [2.99301523e-05, 3.54929936e-05, 3.05990102e-05, 3.01846376e-05,\n         3.24918285e-05, 3.24483758e-05, 3.22564915e-05, 3.56871578e-05,\n         3.22500678e-05, 3.38021929e-05],\n        [3.11982089e-05, 3.20287765e-05, 3.39293652e-05, 3.21613403e-05,\n         3.13392667e-05, 3.49363394e-05, 3.63646003e-05, 3.23045385e-05,\n         3.46674555e-05, 3.49710200e-05],\n        [3.68143262e-05, 3.44977963e-05, 3.08124893e-05, 3.24204586e-05,\n         3.59787141e-05, 3.18499765e-05, 3.35317180e-05, 3.32193810e-05,\n         3.26986612e-05, 3.50211210e-05],\n        [3.42712677e-05, 3.32295365e-05, 2.98676783e-05, 3.13198519e-05,\n         3.18891173e-05, 3.09190090e-05, 3.44547178e-05, 3.39205821e-05,\n         3.82003025e-05, 3.56161675e-05],\n        [3.08223847e-05, 3.33540652e-05, 3.49102830e-05, 3.84651675e-05,\n         3.31581316e-05, 3.50162237e-05, 3.20219361e-05, 3.18897572e-05,\n         3.69387521e-05, 3.17702071e-05]]),\n array([[3.11728032e-05, 2.76313432e-05, 2.82538103e-05, 2.83036675e-05,\n         2.70959224e-05, 2.93662299e-05, 2.91548792e-05, 2.58201298e-05,\n         2.86365786e-05, 2.90887526e-05],\n        [2.91321416e-05, 2.96366266e-05, 3.29801910e-05, 3.07620837e-05,\n         2.81496022e-05, 2.57372794e-05, 2.63665231e-05, 3.14715426e-05,\n         2.64608560e-05, 2.81927171e-05],\n        [2.97221876e-05, 2.84660875e-05, 2.72459106e-05, 2.85428713e-05,\n         2.87065588e-05, 2.89202651e-05, 2.85390545e-05, 2.84559598e-05,\n         2.84582307e-05, 3.04622802e-05],\n        [2.96854597e-05, 2.74867685e-05, 2.84977077e-05, 2.92928924e-05,\n         2.90122528e-05, 2.86210840e-05, 2.72894335e-05, 2.95320099e-05,\n         2.99931817e-05, 2.73938846e-05],\n        [2.84651073e-05, 2.89640917e-05, 2.98189630e-05, 2.87103131e-05,\n         2.83751871e-05, 2.72961808e-05, 2.96127311e-05, 2.68777438e-05,\n         2.57471657e-05, 3.05184218e-05],\n        [2.53999404e-05, 3.01529089e-05, 2.59709276e-05, 2.56181561e-05,\n         2.75884877e-05, 2.75515016e-05, 2.73881540e-05, 3.03199517e-05,\n         2.73820210e-05, 2.87091795e-05],\n        [2.64844926e-05, 2.71930565e-05, 2.88169302e-05, 2.73067079e-05,\n         2.66036794e-05, 2.96781159e-05, 3.08996562e-05, 2.74292419e-05,\n         2.94481025e-05, 2.97082423e-05],\n        [3.12827183e-05, 2.93035351e-05, 2.61543379e-05, 2.75276580e-05,\n         3.05702417e-05, 2.70404179e-05, 2.84758175e-05, 2.82099592e-05,\n         2.77663123e-05, 2.97485254e-05],\n        [2.91085340e-05, 2.82189744e-05, 2.53471437e-05, 2.65870816e-05,\n         2.70736442e-05, 2.62445605e-05, 2.92665555e-05, 2.88100988e-05,\n         3.24678184e-05, 3.02596717e-05],\n        [2.61630576e-05, 2.83258672e-05, 2.96548436e-05, 3.26958277e-05,\n         2.81574513e-05, 2.97473798e-05, 2.71871026e-05, 2.70736848e-05,\n         3.13897665e-05, 2.69719553e-05]]),\n array([[2.64892761e-05, 2.34628692e-05, 2.39939679e-05, 2.40366389e-05,\n         2.30044798e-05, 2.49440849e-05, 2.47633996e-05, 2.19150558e-05,\n         2.43216535e-05, 2.47075860e-05],\n        [2.47438202e-05, 2.51767349e-05, 2.80358848e-05, 2.61383858e-05,\n         2.39062579e-05, 2.18447919e-05, 2.23828665e-05, 2.67449935e-05,\n         2.24618336e-05, 2.39415348e-05],\n        [2.52486728e-05, 2.41760965e-05, 2.31329695e-05, 2.42413448e-05,\n         2.43800790e-05, 2.45630336e-05, 2.42374443e-05, 2.41665597e-05,\n         2.41688557e-05, 2.58815630e-05],\n        [2.52183603e-05, 2.33382830e-05, 2.42021895e-05, 2.48820131e-05,\n         2.46422475e-05, 2.43079444e-05, 2.31709958e-05, 2.50855550e-05,\n         2.54804129e-05, 2.32595221e-05],\n        [2.41747568e-05, 2.46010103e-05, 2.53315586e-05, 2.43840459e-05,\n         2.40976092e-05, 2.31761313e-05, 2.51550577e-05, 2.28173881e-05,\n         2.18523248e-05, 2.59302510e-05],\n        [2.15554119e-05, 2.56162543e-05, 2.20428326e-05, 2.17425074e-05,\n         2.34251014e-05, 2.33936198e-05, 2.32545661e-05, 2.57599417e-05,\n         2.32487823e-05, 2.43835268e-05],\n        [2.24829608e-05, 2.30874277e-05, 2.44748213e-05, 2.31848557e-05,\n         2.25836654e-05, 2.52112909e-05, 2.62559839e-05, 2.32897009e-05,\n         2.50145386e-05, 2.52374483e-05],\n        [2.65822618e-05, 2.48913534e-05, 2.22003861e-05, 2.33732561e-05,\n         2.59747831e-05, 2.29571266e-05, 2.41822349e-05, 2.39559401e-05,\n         2.35779629e-05, 2.52697341e-05],\n        [2.47235216e-05, 2.39639281e-05, 2.15107943e-05, 2.25694765e-05,\n         2.29853321e-05, 2.22768047e-05, 2.48596127e-05, 2.44695530e-05,\n         2.75955609e-05, 2.57087560e-05],\n        [2.22080595e-05, 2.40556720e-05, 2.51905550e-05, 2.77918113e-05,\n         2.39109303e-05, 2.52713218e-05, 2.30822485e-05, 2.29849399e-05,\n         2.66743452e-05, 2.28983750e-05]]),\n array([[2.25094129e-05, 1.99232466e-05, 2.03763778e-05, 2.04128963e-05,\n         1.95308329e-05, 2.11878463e-05, 2.10333837e-05, 1.86005856e-05,\n         2.06568894e-05, 2.09862765e-05],\n        [2.10165269e-05, 2.13879864e-05, 2.38328074e-05, 2.22096455e-05,\n         2.03025600e-05, 1.85409961e-05, 1.90010859e-05, 2.27282923e-05,\n         1.90671769e-05, 2.03313822e-05],\n        [2.14484638e-05, 2.05326234e-05, 1.96408967e-05, 2.05880692e-05,\n         2.07056536e-05, 2.08622717e-05, 2.05841970e-05, 2.05237295e-05,\n         2.05259915e-05, 2.19896563e-05],\n        [2.14234675e-05, 1.98159083e-05, 2.05541371e-05, 2.11353104e-05,\n         2.09304727e-05, 2.06447797e-05, 1.96740942e-05, 2.13085687e-05,\n         2.16466272e-05, 1.97491232e-05],\n        [2.05310550e-05, 2.08951662e-05, 2.15194487e-05, 2.07096836e-05,\n         2.04648725e-05, 1.96779506e-05, 2.13684011e-05, 1.93704148e-05,\n         1.85466615e-05, 2.20318628e-05],\n        [1.82927852e-05, 2.17621545e-05, 1.87088554e-05, 1.84531820e-05,\n         1.98900068e-05, 1.98632107e-05, 1.97448386e-05, 2.18857330e-05,\n         1.97394384e-05, 2.07096197e-05],\n        [1.90860134e-05, 1.96016640e-05, 2.07869708e-05, 1.96851767e-05,\n         1.91710998e-05, 2.14167564e-05, 2.23101657e-05, 1.97748814e-05,\n         2.12484636e-05, 2.14394571e-05],\n        [2.25880751e-05, 2.11434991e-05, 1.88441781e-05, 1.98458196e-05,\n         2.20701273e-05, 1.94904349e-05, 2.05360320e-05, 2.03434143e-05,\n         2.00213898e-05, 2.14652404e-05],\n        [2.09990761e-05, 2.03504798e-05, 1.82550804e-05, 1.91589709e-05,\n         1.95143783e-05, 1.89089043e-05, 2.11162581e-05, 2.07829496e-05,\n         2.34544461e-05, 2.18422697e-05],\n        [1.88509222e-05, 2.04292130e-05, 2.13983205e-05, 2.36233349e-05,\n         2.03048352e-05, 2.14687644e-05, 1.95971613e-05, 1.95136831e-05,\n         2.26672740e-05, 1.94400226e-05]]),\n array([[1.91274958e-05, 1.69176092e-05, 1.73042101e-05, 1.73354613e-05,\n         1.65816981e-05, 1.79972410e-05, 1.78652008e-05, 1.57873977e-05,\n         1.75443238e-05, 1.78254436e-05],\n        [1.78506907e-05, 1.81693867e-05, 2.02598394e-05, 1.88714104e-05,\n         1.72420892e-05, 1.57368611e-05, 1.61302475e-05, 1.93148342e-05,\n         1.61855507e-05, 1.72656013e-05],\n        [1.82202237e-05, 1.74382375e-05, 1.66759709e-05, 1.74853534e-05,\n         1.75850117e-05, 1.77190760e-05, 1.74815895e-05, 1.74300093e-05,\n         1.74321954e-05, 1.86829847e-05],\n        [1.81996302e-05, 1.68251504e-05, 1.74559594e-05, 1.79527765e-05,\n         1.77777845e-05, 1.75336428e-05, 1.67049309e-05, 1.81002561e-05,\n         1.83896681e-05, 1.67685203e-05],\n        [1.74365396e-05, 1.77475578e-05, 1.82810125e-05, 1.75889958e-05,\n         1.73797696e-05, 1.67077773e-05, 1.81517547e-05, 1.64441641e-05,\n         1.57410515e-05, 1.87195580e-05],\n        [1.55239860e-05, 1.84879189e-05, 1.58791382e-05, 1.56614800e-05,\n         1.68883909e-05, 1.68655830e-05, 1.67648172e-05, 1.85941869e-05,\n         1.67598166e-05, 1.75892616e-05],\n        [1.62023062e-05, 1.66421803e-05, 1.76547984e-05, 1.67137586e-05,\n         1.62741951e-05, 1.81933296e-05, 1.89573297e-05, 1.67905047e-05,\n         1.80493867e-05, 1.82130215e-05],\n        [1.91940395e-05, 1.79599487e-05, 1.59953507e-05, 1.68507311e-05,\n         1.87524328e-05, 1.65472344e-05, 1.74395997e-05, 1.72756483e-05,\n         1.70012968e-05, 1.82335284e-05],\n        [1.78356903e-05, 1.72818879e-05, 1.54921235e-05, 1.62638276e-05,\n         1.65675598e-05, 1.60501733e-05, 1.79365720e-05, 1.76517681e-05,\n         1.99347594e-05, 1.85572809e-05],\n        [1.60012712e-05, 1.73494480e-05, 1.81769712e-05, 2.00800792e-05,\n         1.72425840e-05, 1.82383699e-05, 1.66382679e-05, 1.65666620e-05,\n         1.92621469e-05, 1.65039827e-05]]),\n array([[1.62536892e-05, 1.43654015e-05, 1.46952330e-05, 1.47219750e-05,\n         1.40778764e-05, 1.52870943e-05, 1.51742263e-05, 1.33996789e-05,\n         1.49007540e-05, 1.51406737e-05],\n        [1.51617384e-05, 1.54351386e-05, 1.72225191e-05, 1.60349269e-05,\n         1.46429600e-05, 1.33568199e-05, 1.36931558e-05, 1.64140235e-05,\n         1.37394223e-05, 1.46621079e-05],\n        [1.54778672e-05, 1.48101901e-05, 1.41586176e-05, 1.48502275e-05,\n         1.49346922e-05, 1.50494436e-05, 1.48466273e-05, 1.48026291e-05,\n         1.48047107e-05, 1.58735463e-05],\n        [1.54609172e-05, 1.42857759e-05, 1.48247746e-05, 1.52494618e-05,\n         1.50999719e-05, 1.48913460e-05, 1.41838629e-05, 1.53749977e-05,\n         1.56227483e-05, 1.42377567e-05],\n        [1.48084374e-05, 1.50740956e-05, 1.55299210e-05, 1.49385527e-05,\n         1.47597460e-05, 1.41859164e-05, 1.54193155e-05, 1.39599734e-05,\n         1.33598519e-05, 1.59052263e-05],\n        [1.31742701e-05, 1.57063062e-05, 1.34774135e-05, 1.32921199e-05,\n         1.43397479e-05, 1.43203348e-05, 1.42345573e-05, 1.57976752e-05,\n         1.42299586e-05, 1.49390503e-05],\n        [1.37542957e-05, 1.41295200e-05, 1.49945770e-05, 1.41908641e-05,\n         1.38150327e-05, 1.54550556e-05, 1.61083635e-05, 1.42565198e-05,\n         1.53319453e-05, 1.54721303e-05],\n        [1.63099802e-05, 1.52557379e-05, 1.35772009e-05, 1.43076518e-05,\n         1.59334671e-05, 1.40484761e-05, 1.48100455e-05, 1.46704949e-05,\n         1.44367615e-05, 1.54883649e-05],\n        [1.51488462e-05, 1.46759970e-05, 1.31473451e-05, 1.38061712e-05,\n         1.40657301e-05, 1.36236349e-05, 1.52356794e-05, 1.49923303e-05,\n         1.69432493e-05, 1.57663373e-05],\n        [1.35823926e-05, 1.47339635e-05, 1.54405670e-05, 1.70682706e-05,\n         1.46421594e-05, 1.54940476e-05, 1.41261224e-05, 1.40647068e-05,\n         1.63685412e-05, 1.40113719e-05]]),\n array([[1.38116541e-05, 1.21982202e-05, 1.24796122e-05, 1.25024944e-05,\n         1.19521273e-05, 1.29850574e-05, 1.28885816e-05, 1.13730818e-05,\n         1.26555135e-05, 1.28602665e-05],\n        [1.28778359e-05, 1.31123553e-05, 1.46405453e-05, 1.36247806e-05,\n         1.24356297e-05, 1.13367340e-05, 1.16242781e-05, 1.39488698e-05,\n         1.16629761e-05, 1.24511949e-05],\n        [1.31482646e-05, 1.25782028e-05, 1.20212739e-05, 1.26122252e-05,\n         1.26838124e-05, 1.27820270e-05, 1.26088248e-05, 1.25712947e-05,\n         1.25732537e-05, 1.34865721e-05],\n        [1.31343280e-05, 1.21296600e-05, 1.25901930e-05, 1.29532075e-05,\n         1.28255073e-05, 1.26472374e-05, 1.20432662e-05, 1.30600641e-05,\n         1.32721381e-05, 1.20889425e-05],\n        [1.25764505e-05, 1.28033567e-05, 1.31928358e-05, 1.26874960e-05,\n         1.25346921e-05, 1.20447013e-05, 1.30981961e-05, 1.18510628e-05,\n         1.13388622e-05, 1.35140034e-05],\n        [1.11802061e-05, 1.33432002e-05, 1.14389484e-05, 1.12812084e-05,\n         1.21757208e-05, 1.21591972e-05, 1.20861791e-05, 1.34217478e-05,\n         1.20819750e-05, 1.26881495e-05],\n        [1.16761537e-05, 1.19962227e-05, 1.27351947e-05, 1.20487911e-05,\n         1.17274675e-05, 1.31289159e-05, 1.36875459e-05, 1.21049558e-05,\n         1.30236280e-05, 1.31437151e-05],\n        [1.38592711e-05, 1.29586947e-05, 1.15246209e-05, 1.21483668e-05,\n         1.35382605e-05, 1.19270471e-05, 1.25769747e-05, 1.24581941e-05,\n         1.22590673e-05, 1.31564991e-05],\n        [1.28667571e-05, 1.24630393e-05, 1.11574540e-05, 1.17198936e-05,\n         1.19416939e-05, 1.15639497e-05, 1.29414851e-05, 1.27335643e-05,\n         1.44006569e-05, 1.33951380e-05],\n        [1.15291688e-05, 1.25127691e-05, 1.31161049e-05, 1.45081994e-05,\n         1.24339132e-05, 1.31626599e-05, 1.19932734e-05, 1.19406034e-05,\n         1.39096168e-05, 1.18952201e-05]]),\n array([[1.17365203e-05, 1.03579807e-05, 1.05980419e-05, 1.06176202e-05,\n         1.01473633e-05, 1.10296752e-05, 1.09472143e-05, 9.65299022e-06,\n         1.07485832e-05, 1.09233201e-05],\n        [1.09379693e-05, 1.11391182e-05, 1.24456545e-05, 1.15768917e-05,\n         1.05610382e-05, 9.62216454e-06, 9.86798241e-06, 1.18539451e-05,\n         9.90034290e-06, 1.05736659e-05],\n        [1.11692929e-05, 1.06825881e-05, 1.02065759e-05, 1.07114991e-05,\n         1.07721717e-05, 1.08562277e-05, 1.07083200e-05, 1.06763079e-05,\n         1.06781339e-05, 1.14585356e-05],\n        [1.11578466e-05, 1.02989596e-05, 1.06924347e-05, 1.10027197e-05,\n         1.08936368e-05, 1.07413116e-05, 1.02257220e-05, 1.10936762e-05,\n         1.12752005e-05, 1.02644336e-05],\n        [1.06808758e-05, 1.08746767e-05, 1.12074547e-05, 1.07756441e-05,\n         1.06450667e-05, 1.02266786e-05, 1.11264804e-05, 1.00607404e-05,\n         9.62359295e-06, 1.14822796e-05],\n        [9.48796327e-06, 1.13356353e-05, 9.70880063e-06, 9.57451829e-06,\n         1.03382677e-05, 1.03242038e-05, 1.02620474e-05, 1.14031515e-05,\n         1.02582235e-05, 1.07763953e-05],\n        [9.91199742e-06, 1.01850123e-05, 1.08162543e-05, 1.02300567e-05,\n         9.95534909e-06, 1.11528815e-05, 1.16305345e-05, 1.02780997e-05,\n         1.10628400e-05, 1.11657034e-05],\n        [1.17767991e-05, 1.10075134e-05, 9.78234521e-06, 1.03149555e-05,\n         1.15031125e-05, 1.01259688e-05, 1.06806064e-05, 1.05795050e-05,\n         1.04098629e-05, 1.11757076e-05],\n        [1.09284502e-05, 1.05837663e-05, 9.46873762e-06, 9.94887601e-06,\n         1.01384023e-05, 9.81565584e-06, 1.09927496e-05, 1.08151053e-05,\n         1.22396169e-05, 1.13805563e-05],\n        [9.78632538e-06, 1.06264255e-05, 1.11415713e-05, 1.23321111e-05,\n         1.05587002e-05, 1.11820740e-05, 1.01824536e-05, 1.01372883e-05,\n         1.18200761e-05, 1.00986713e-05]]),\n array([[9.97316375e-06, 8.79536101e-06, 9.00015763e-06, 9.01690814e-06,\n         8.61511637e-06, 9.36874704e-06, 9.29826787e-06, 8.19304835e-06,\n         9.12898757e-06, 9.27810519e-06],\n        [9.29031528e-06, 9.46282585e-06, 1.05798171e-05, 9.83681164e-06,\n         8.96902814e-06, 8.16690582e-06, 8.37704190e-06, 1.00736471e-05,\n         8.40409651e-06, 8.97925019e-06],\n        [9.48817881e-06, 9.07265322e-06, 8.66581841e-06, 9.09722070e-06,\n         9.14864267e-06, 9.22057696e-06, 9.09427352e-06, 9.06696856e-06,\n         9.06865720e-06, 9.73546250e-06],\n        [9.47878889e-06, 8.74456122e-06, 9.08073004e-06, 9.34593418e-06,\n         9.25275727e-06, 9.12260555e-06, 8.68247650e-06, 9.42335596e-06,\n         9.57872239e-06, 8.71528534e-06],\n        [9.07100864e-06, 9.23652899e-06, 9.52085084e-06, 9.15188389e-06,\n         9.04030416e-06, 8.68306631e-06, 9.45157232e-06, 8.54087826e-06,\n         8.16779747e-06, 9.75600791e-06],\n        [8.05185837e-06, 9.63011926e-06, 8.24033774e-06, 8.12602568e-06,\n         8.77810576e-06, 8.76613536e-06, 8.71322543e-06, 9.68814539e-06,\n         8.70976276e-06, 9.15268839e-06],\n        [8.41438740e-06, 8.64726047e-06, 9.18645863e-06, 8.68585446e-06,\n         8.45101151e-06, 9.47425884e-06, 9.88265633e-06, 8.72694802e-06,\n         9.39725945e-06, 9.48536331e-06],\n        [1.00072344e-05, 9.35011875e-06, 8.30346323e-06, 8.75823846e-06,\n         9.77389799e-06, 8.59686642e-06, 9.07017312e-06, 8.98412004e-06,\n         8.83959831e-06, 9.49313506e-06],\n        [9.28213731e-06, 8.98786329e-06, 8.03561292e-06, 8.44547949e-06,\n         8.60742108e-06, 8.33167649e-06, 9.33745434e-06, 9.18568318e-06,\n         1.04028724e-05, 9.66895921e-06],\n        [8.30694338e-06, 9.02445357e-06, 9.46428789e-06, 1.04824131e-05,\n         8.96629508e-06, 9.49950546e-06, 8.64504155e-06, 8.60631555e-06,\n         1.00444304e-05, 8.57345621e-06]]),\n array([[8.47474201e-06, 7.46847947e-06, 7.64318809e-06, 7.65751847e-06,\n         7.31423718e-06, 7.95793244e-06, 7.89769635e-06, 6.95391092e-06,\n         7.75343151e-06, 7.88068321e-06],\n        [7.89085660e-06, 8.03879271e-06, 8.99370239e-06, 8.35827555e-06,\n         7.61700268e-06, 6.93174009e-06, 7.11136486e-06, 8.56072397e-06,\n         7.13397821e-06, 7.62525745e-06],\n        [8.06009178e-06, 7.70534498e-06, 7.35764876e-06, 7.72622152e-06,\n         7.76980306e-06, 7.83136014e-06, 7.72350854e-06, 7.70021903e-06,\n         7.70177021e-06, 8.27149484e-06],\n        [8.05239852e-06, 7.42476379e-06, 7.71196182e-06, 7.93862581e-06,\n         7.85903810e-06, 7.74783614e-06, 7.37213371e-06, 8.00452663e-06,\n         8.13749709e-06, 7.39993969e-06],\n        [7.70378665e-06, 7.84514888e-06, 8.08806210e-06, 7.77280387e-06,\n         7.67746147e-06, 7.37244567e-06, 8.02879302e-06, 7.25061876e-06,\n         6.93222467e-06, 8.28926672e-06],\n        [6.83312262e-06, 8.18120753e-06, 6.99398015e-06, 6.89666931e-06,\n         7.45338912e-06, 7.44320067e-06, 7.39816196e-06, 8.23107094e-06,\n         7.39503859e-06, 7.77362861e-06],\n        [7.14305145e-06, 7.34168040e-06, 7.80224004e-06, 7.37474498e-06,\n         7.17399129e-06, 8.04828502e-06, 8.39745440e-06, 7.40989239e-06,\n         7.98244158e-06, 8.05789863e-06],\n        [8.50356079e-06, 7.94227601e-06, 7.04815592e-06, 7.43645787e-06,\n         8.30462792e-06, 7.29866993e-06, 7.70256175e-06, 7.62931755e-06,\n         7.50619774e-06, 8.06388328e-06],\n        [7.88383174e-06, 7.63260213e-06, 6.81939567e-06, 7.16926374e-06,\n         7.30762967e-06, 7.07205170e-06, 7.93141352e-06, 7.80175158e-06,\n         8.84175869e-06, 8.21477945e-06],\n        [7.05119625e-06, 7.66398374e-06, 8.03950641e-06, 8.91015068e-06,\n         7.61404685e-06, 8.07011229e-06, 7.33975701e-06, 7.30655544e-06,\n         8.53552609e-06, 7.27859548e-06]]),\n array([[7.20145039e-06, 6.34177269e-06, 6.49081057e-06, 6.50306983e-06,\n         6.20978965e-06, 6.75956794e-06, 6.70808823e-06, 5.90218326e-06,\n         6.58514361e-06, 6.69373327e-06],\n        [6.70220650e-06, 6.82905745e-06, 7.64537539e-06, 7.10197215e-06,\n         6.46878605e-06, 5.88338074e-06, 6.03691686e-06, 7.27502025e-06,\n         6.05581341e-06, 6.47543438e-06],\n        [6.84694859e-06, 6.54409839e-06, 6.24695644e-06, 6.56183848e-06,\n         6.59877487e-06, 6.65144878e-06, 6.55935605e-06, 6.53949185e-06,\n         6.54090865e-06, 7.02767017e-06],\n        [6.84065398e-06, 6.30415988e-06, 6.54951186e-06, 6.74322886e-06,\n         6.67525059e-06, 6.58024272e-06, 6.25954474e-06, 6.79932289e-06,\n         6.91311942e-06, 6.28311066e-06],\n        [6.54263765e-06, 6.66336398e-06, 6.87089238e-06, 6.60153414e-06,\n         6.52006920e-06, 6.25964930e-06, 6.82018910e-06, 6.15527653e-06,\n         5.88356099e-06, 7.04303807e-06],\n        [5.79885520e-06, 6.95029288e-06, 5.93613460e-06, 5.85329720e-06,\n         6.32858677e-06, 6.31991506e-06, 6.28157685e-06, 6.99313632e-06,\n         6.27876924e-06, 6.60235474e-06],\n        [6.06380203e-06, 6.23321873e-06, 6.62659528e-06, 6.26154382e-06,\n         6.08993920e-06, 6.83693426e-06, 7.13545328e-06, 6.29160387e-06,\n         6.78063293e-06, 6.84525423e-06],\n        [7.22582634e-06, 6.74641074e-06, 5.98262387e-06, 6.31415787e-06,\n         7.05622643e-06, 6.19651104e-06, 6.54115977e-06, 6.47881821e-06,\n         6.37393204e-06, 6.84981370e-06],\n        [6.69617291e-06, 6.48169732e-06, 5.78725651e-06, 6.08589931e-06,\n         6.20411686e-06, 6.00286278e-06, 6.73709466e-06, 6.62632493e-06,\n         7.51491363e-06, 6.97930280e-06],\n        [5.98527783e-06, 6.50860913e-06, 6.82921497e-06, 7.57371181e-06,\n         6.46573676e-06, 6.85579956e-06, 6.23155221e-06, 6.20308970e-06,\n         7.25329307e-06, 6.17929874e-06]]),\n array([[6.11946448e-06, 5.38504225e-06, 5.51217866e-06, 5.52266556e-06,\n         5.27211293e-06, 5.74166154e-06, 5.69766698e-06, 5.00952126e-06,\n         5.59289296e-06, 5.68555541e-06],\n        [5.69260984e-06, 5.80137131e-06, 6.49918757e-06, 6.03449879e-06,\n         5.49365559e-06, 4.99357532e-06, 5.12480558e-06, 6.18241105e-06,\n         5.14059226e-06, 5.49899425e-06],\n        [5.81639788e-06, 5.55785888e-06, 5.30393104e-06, 5.57293373e-06,\n         5.60423806e-06, 5.64930819e-06, 5.57067399e-06, 5.55373164e-06,\n         5.55501932e-06, 5.97088487e-06],\n        [5.81125519e-06, 5.35268591e-06, 5.56228142e-06, 5.72783408e-06,\n         5.66977357e-06, 5.58860432e-06, 5.31486524e-06, 5.77558046e-06,\n         5.87296256e-06, 5.33483757e-06],\n        [5.55650172e-06, 5.65960141e-06, 5.83689359e-06, 5.60676043e-06,\n         5.53715560e-06, 5.31481789e-06, 5.79352027e-06, 5.22540591e-06,\n         4.99353223e-06, 5.98416993e-06],\n        [4.92113503e-06, 5.90457662e-06, 5.03828871e-06, 4.96777270e-06,\n         5.37352962e-06, 5.36614890e-06, 5.33351456e-06, 5.94138374e-06,\n         5.33099854e-06, 5.60755942e-06],\n        [5.14761686e-06, 5.29211441e-06, 5.62809666e-06, 5.31637744e-06,\n         5.16969634e-06, 5.80790389e-06, 6.06310987e-06, 5.34208514e-06,\n         5.75976389e-06, 5.81510186e-06],\n        [6.14008209e-06, 5.73060591e-06, 5.07817733e-06, 5.36123340e-06,\n         5.99549158e-06, 5.26078674e-06, 5.55487497e-06, 5.50181344e-06,\n         5.41246151e-06, 5.81852959e-06],\n        [5.68742830e-06, 5.50433468e-06, 4.91133483e-06, 5.16624424e-06,\n         5.26724324e-06, 5.09531892e-06, 5.72261683e-06, 5.62798980e-06,\n         6.38718190e-06, 5.92963734e-06],\n        [5.08049226e-06, 5.52741115e-06, 5.80112391e-06, 6.43772555e-06,\n         5.49060823e-06, 5.82420438e-06, 5.29067104e-06, 5.26627342e-06,\n         6.16368046e-06, 5.24602994e-06]])]"
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "I_fractions = np.dstack(I_arr)\n",
    "S_fractions = np.dstack(S_arr)"
   ],
   "execution_count": 12,
   "outputs": [],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "fig = plt.figure(facecolor=\"w\", figsize=(15, 6))\n",
    "ax = fig.add_subplot(111, axisbelow=True)\n",
    "ax.plot(range(I_fractions.shape[2]), [I_fractions[:, :, i].mean() for i in range(I_fractions.shape[2])], color=COLORS[\"I\"], alpha=0.5, lw=2, label=\"Infectious\")\n",
    "ax.plot(range(S_fractions.shape[2]), [S_fractions[:, :, i].mean() for i in range(S_fractions.shape[2])], color=COLORS[\"S\"], alpha=0.5, lw=2, label=\"Susceptible\")\n",
    "\n",
    "ax.set_xlabel('Time (days)')\n",
    "ax.set_ylabel(\"Fraction of proportion in compartment\")\n",
    "ax.set_ylim(0, 1.0)\n",
    "ax.set_xlim(0, 60)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "\n",
    "for spine in (\"top\", \"right\"):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "\n",
    "fig.subplots_adjust(bottom=0.25)\n",
    "plt.legend(title='', bbox_to_anchor=(0.5, -0.3), loc=\"lower center\", ncol=3, frameon=False)\n",
    "\n",
    "plt.savefig(\"sir_from_lattice.pdf\")\n",
    "plt.show()"
   ],
   "execution_count": 13,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/1d/97x3559931s0_6hkz64q4zth0000gn/T/ipykernel_76992/3086949230.py:10: MatplotlibDeprecationWarning: The 'b' parameter of grid() has been renamed 'visible' since Matplotlib 3.5; support for the old name will be dropped two minor releases later.\n",
      "  ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 1080x432 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "fig = plt.figure(facecolor=\"w\", figsize=(15, 6))\n",
    "ax = fig.add_subplot(111, axisbelow=True)\n",
    "ax.plot(I_fractions.reshape(100, 101).T, color=COLORS[\"I\"], alpha=0.02, lw=2, label=None)\n",
    "ax.plot(S_fractions.reshape(100, 101).T, color=COLORS[\"S\"], alpha=0.02, lw=2, label=None)\n",
    "\n",
    "ax.plot(range(I_fractions.shape[2]), [I_fractions[:, :, i].mean() for i in range(I_fractions.shape[2])], color=COLORS[\"I\"], linestyle=\"dashed\", alpha=0.5, lw=2, label=\"Infectious\")\n",
    "ax.plot(range(S_fractions.shape[2]), [S_fractions[:, :, i].mean() for i in range(S_fractions.shape[2])], color=COLORS[\"S\"], linestyle=\"dotted\", alpha=0.5, lw=2, label=\"Susceptible\")\n",
    "\n",
    "\n",
    "ax.set_xlabel('Time (days)')\n",
    "ax.set_ylabel(\"Fraction of population in compartment\")\n",
    "ax.set_ylim(0, 1.0)\n",
    "ax.set_xlim(0, 60)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "\n",
    "for spine in (\"top\", \"right\"):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "\n",
    "legend = ax.legend([\"Infectious\", \"Susceptible\"])\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "\n",
    "fig.subplots_adjust(bottom=0.25)\n",
    "plt.legend(title='', bbox_to_anchor=(0.5, -0.3), loc=\"lower center\", ncol=3, frameon=False)\n",
    "\n",
    "plt.savefig(\"sir_from_lattice.pdf\")\n",
    "plt.show()"
   ],
   "execution_count": 14,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/1d/97x3559931s0_6hkz64q4zth0000gn/T/ipykernel_76992/350254718.py:14: MatplotlibDeprecationWarning: The 'b' parameter of grid() has been renamed 'visible' since Matplotlib 3.5; support for the old name will be dropped two minor releases later.\n",
      "  ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 1080x432 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "metadata": {
    "datalore": {
     "type": "CODE",
     "hide_input_from_viewers": false,
     "hide_output_from_viewers": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "datalore": {
   "version": 1,
   "computation_mode": "JUPYTER",
   "package_manager": "pip",
   "base_environment": "default",
   "packages": []
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}