Fig_S1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import poisson"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('..')\n",
    "from inference.simulation import simBetaPoisson\n",
    "from scipy import special\n",
    "from scipy.stats import poisson,norm\n",
    "from scipy.special import j_roots\n",
    "from scipy.special import beta as beta_fun  \n",
    "from scipy.stats import spearmanr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getProbNoExpr(params):\n",
    "    kon = params[0]\n",
    "    koff = params[1]\n",
    "    ksyn = params[2]\n",
    "    return dBP_dict(np.array([0]),kon,koff,ksyn)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dBP_dict(at, alpha, bet, lam):\n",
    "    at_ = np.copy(at)\n",
    "    at_.shape = (len(at_), 1)\n",
    "    np.repeat(at_, 40, axis = 1)\n",
    "    def fun(at_, m):\n",
    "        if(max(m) < 1e6):\n",
    "            return(poisson.pmf(at_,m))\n",
    "        else:\n",
    "            return(norm.pdf(at_,loc=m,scale=sqrt(m)))\n",
    "    x,w = j_roots(40,alpha = bet - 1, beta = alpha - 1)\n",
    "    gs = np.sum(w*fun(at_, m = lam*(1+x)/2), axis=1)\n",
    "    prob = 1/beta_fun(alpha, bet)*2**(-alpha-bet+1)*gs\n",
    "    return {k: v for k, v in zip(at.tolist(), prob.tolist())}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_ME_prob(l1,l2):\n",
    "    return poisson.pmf(0, l2)*(1-poisson.pmf(0, l1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_BI_prob(l1,l2):\n",
    "    return (1-poisson.pmf(0, l2))*(1-poisson.pmf(0, l1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_SI_prob(l1,l2):\n",
    "    return poisson.pmf(0, l2)*poisson.pmf(0, l1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "UMI = pd.read_csv('../tx_revision/SS3_c57_UMIs_concat.csv', index_col=0)\n",
    "params = pd.read_pickle('/home/antonl/parameters/SS3_c57_UMIs_concat_ML.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "UMI_cast = pd.read_csv('../tx_revision/SS3_cast_UMIs_concat.csv', index_col=0)\n",
    "params_cast = pd.read_pickle('/home/antonl/parameters/SS3_cast_UMIs_concat_ML.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "gof_df = pd.read_csv('good_fibroblast_genes.csv', index_col=0)\n",
    "goodgenes = gof_df.index.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "params = params[params[1]][0]\n",
    "params_cast = params_cast[params_cast[1]][0]\n",
    "\n",
    "params = pd.DataFrame(params)\n",
    "params_cast = pd.DataFrame(params_cast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "noexprP_c57 = {}\n",
    "noexprP_cast = {}\n",
    "for gene in goodgenes:\n",
    "    noexprP_c57[gene] = getProbNoExpr(params.loc[gene][0])\n",
    "    noexprP_cast[gene] = getProbNoExpr(params_cast.loc[gene][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "noexprData_c57 = {}\n",
    "noexprData_cast = {}\n",
    "for gene in goodgenes:\n",
    "    noexprData_c57[gene] = np.mean(UMI.loc[gene][pd.notnull(UMI.loc[gene])] == 0)\n",
    "    noexprData_cast[gene] = np.mean(UMI_cast.loc[gene][pd.notnull(UMI_cast.loc[gene])] == 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/nbserver/anaconda3/lib/python3.7/site-packages/pandas/core/computation/expressions.py:183: UserWarning: evaluating in Python space because the '*' operator is not supported by numexpr for the bool dtype, use '&' instead\n",
      "  .format(op=op_str, alt_op=unsupported[op_str]))\n"
     ]
    }
   ],
   "source": [
    "in_c57_in_cast = {}\n",
    "in_c57_not_cast = {}\n",
    "in_cast_not_c57 = {}\n",
    "not_c57_not_cast = {}\n",
    "mean_expr = {}\n",
    "for gene in goodgenes:\n",
    "    in_c57 = UMI.loc[gene][pd.notnull(UMI.loc[gene])] != 0\n",
    "    in_cast = UMI_cast.loc[gene][pd.notnull(UMI_cast.loc[gene])] != 0\n",
    "    in_c57_in_cast[gene] = np.mean(in_cast*in_c57)\n",
    "    in_cast_not_c57[gene] = np.mean(in_cast*(~in_c57))\n",
    "    in_c57_not_cast[gene] = np.mean(in_c57*(~in_cast))\n",
    "    not_c57_not_cast[gene] = np.mean((~in_c57)*(~in_cast))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "expr_df = pd.DataFrame([noexprData_c57, noexprData_cast, in_c57_in_cast, in_cast_not_c57, in_c57_not_cast, not_c57_not_cast, noexprP_c57, noexprP_cast], index=['silent_c57', 'silent_cast', 'biallelic','mono_cast','mono_c57', 'silent', 'p_silent_c57','p_silent_cast']).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "total_mean = UMI+UMI_cast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "biallelic = ((UMI==0)*(UMI_cast>0)).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Myo5b              0.004464\n",
       "Mpzl2              0.004464\n",
       "Icam5              0.004566\n",
       "Faah               0.008929\n",
       "BC021614           0.008929\n",
       "Pdzk1ip1           0.008929\n",
       "Galnt3             0.008969\n",
       "Atf7ip2            0.008969\n",
       "2410004P03Rik      0.008969\n",
       "Runx3              0.008969\n",
       "Marco              0.008969\n",
       "AA543186           0.008969\n",
       "Megf10             0.008969\n",
       "Fras1              0.008969\n",
       "Dock8              0.008969\n",
       "Gpr123             0.009009\n",
       "Prrt2              0.009009\n",
       "Robo2              0.009009\n",
       "Pla2g2e            0.009091\n",
       "Ldb2               0.009132\n",
       "Zfp456             0.009259\n",
       "Fndc5              0.009950\n",
       "Gad1               0.013393\n",
       "Hecw1              0.013393\n",
       "Rln1               0.013393\n",
       "Scgb1a1            0.013393\n",
       "Cyp2c44            0.013393\n",
       "Shisa2             0.013393\n",
       "B3gnt7             0.013393\n",
       "Pzp                0.013393\n",
       "                    ...    \n",
       "Timp1             89.049107\n",
       "Bgn               89.294643\n",
       "Fbln2             90.058036\n",
       "Rps11             90.343750\n",
       "Tubb5             92.382550\n",
       "Actn1             93.674107\n",
       "Ecm1             101.569507\n",
       "Rps3             104.879464\n",
       "Tpm2             109.556391\n",
       "Bsg              109.776786\n",
       "Fn1              110.415179\n",
       "Lox              110.656250\n",
       "Anxa1            113.151786\n",
       "Serpinh1         113.500000\n",
       "Ppbp             113.612613\n",
       "Cyr61            115.112613\n",
       "Col5a2           123.589286\n",
       "Tagln            124.815315\n",
       "Serpine1         133.536036\n",
       "Ccl7             149.120536\n",
       "Tpm1             152.754464\n",
       "Vim              163.772321\n",
       "S100a6           178.334821\n",
       "Thbs1            192.693694\n",
       "Col1a1           219.102679\n",
       "Sparc            224.834821\n",
       "Lgals1           253.568627\n",
       "Acta2            285.000000\n",
       "Tmsb4x           338.985915\n",
       "Malat1           436.760181\n",
       "Length: 10727, dtype: float64"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f53f4bd4550>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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4n+Ovu92FyKvX9/OJd17IsnYTSPMul9a+FcsaXHfJ2ZO2+zdXn9d2f1O1e0FUqq/jXS4AEXElcCvN2xY/l5l/GxG3AEOZuSMiTge+CKyneWS+KTMfm26bs73LRZIWs+nucql1H3pm7gR2Tmi7ueX5z4F3vJAiJUkvzKl0mliSNA0DXZIKYaBLUiEMdEkqhIEuSYUw0CWpEAa6JBWi1geL5mTHEaPAEzWHrwR+NoflnCqcB+dgnPPQtBjn4RWZ2fY/w1qwQJ+JiBia6pNRi4nz4ByMcx6anIcTecpFkgphoEtSIU6VQL99oQs4STgPzsE456HJeWhxSpxDlyR1dqocoUuSOjDQJakQJ3WgR8SGiBiOiH0RceNC1zOXIuJzEfFkRHyvpe2MiPh6RPyw+rqiao+I+HQ1Lw9HxG8tXOXdFRGrI+L+iHg0IvZGxPur9kU1FxFxekR8KyK+U83DR6v2cyLiwWoevlz9FTEi4kXV8r6qf81C1t9NEdETEXsi4t5qedHNQV0nbaBHRA9wG3AFsA7YHBHrFraqOfV5YMOEthuB+zJzLXBftQzNOVlbPbYA/zRPNc6HI8AHM/PVwCXAe6v3fbHNxS+AN2bmBcCFwIaIuAT4e+CT1Tw8A1xfjb8eeCYzfwP4ZDWuFO8HHm1ZXoxzUE9mnpQP4PXAYMvyTcBNC13XHL/mNcD3WpaHgTOr52cCw9XzzwCb240r7QF8DXjLYp4LYBnwbeBimp+KXFq1H/8ZAQaB11fPl1bjYqFr78JrX0XzH/A3AvfS/LO6i2oOZvI4aY/QgX5gf8vySNW2mPxaZv4EoPr68qp9UcxN9SvzeuBBFuFcVKcaHgKeBL4O/Ag4lJlHqiGtr/X4PFT9zwIvm9+K58StwF8Ax6rll7H45qC2kznQ2/3Ze++xbCp+biLixcBXgT/PzP+dbmibtiLmIjOPZuaFNI9SLwJe3W5Y9bW4eYiItwJPZubu1uY2Q4udg5k6mQN9BFjdsrwKOLhAtSyUn0bEmQDV1yer9qLnJiIaNMP8S5l5T9W8KOcCIDMPAd+keU1heUSM/3H31td6fB6q/pcCT89vpV13KbAxIh4H7qR52uVWFtcczMjJHOi7gLXVFe3TgE3AjgWuab7tAN5VPX8XzfPJ4+1/VN3hcQnw7PjpiFNdRATwL8CjmfmJlq5FNRcR0RcRy6vnvcCbaV4YvB+4pho2cR7G5+ca4BtZnUw+VWXmTZm5KjPX0Pz5/0Zm/iGLaA5mbKFP4ne4IHIl8AOa5w4/tND1zPFrvQP4CTBG80jjeprn/+4Dflh9PaMaGzTvAPoR8F1gYKHr7+I8/DbNX5MfBh6qHlcutrkAzgf2VPPwPeDmqv2VwLeAfcDdwIuq9tOr5X1V/ysX+jV0eT4uA+5dzHNQ5+FH/yWpECfzKRdJ0gwY6JJUCANdkgphoEtSIQx0SSqEgS5JhTDQJakQ/w9w48+TAOmpzQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(total_mean.loc['Bgn'], biallelic.loc['Bgn'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean_expr = UMI.mean(axis=1)\n",
    "mean_expr.name = 'mean_expr'\n",
    "mean_expr_cast = UMI_cast.mean(axis=1)\n",
    "mean_expr_cast.name = 'mean_expr_cast'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/nbserver/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:1: RuntimeWarning: divide by zero encountered in log10\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "expr_df = expr_df.join(np.log10(mean_expr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/nbserver/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:1: RuntimeWarning: divide by zero encountered in log10\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "expr_df = expr_df.join(np.log10(mean_expr_cast))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "expr_df['p_silent'] = expr_df['p_silent_c57']*expr_df['p_silent_cast']\n",
    "expr_df['p_biallelic'] = (1-expr_df['p_silent_c57'])*(1-expr_df['p_silent_cast'])\n",
    "expr_df['p_mono_cast']  = expr_df['p_silent_c57']*(1-expr_df['p_silent_cast'])\n",
    "expr_df['p_mono_c57'] = (1-expr_df['p_silent_c57'])*expr_df['p_silent_cast']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "expr_df['pois_mono_c57'] = get_ME_prob(10**expr_df['mean_expr'],10**expr_df['mean_expr_cast'])\n",
    "expr_df['pois_mono_cast'] = get_ME_prob(10**expr_df['mean_expr_cast'],10**expr_df['mean_expr'])\n",
    "expr_df['pois_biallelic'] = get_BI_prob(10**expr_df['mean_expr'],10**expr_df['mean_expr_cast'])\n",
    "expr_df['pois_silent'] = get_SI_prob(10**expr_df['mean_expr'],10**expr_df['mean_expr_cast'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f53f4d7d668>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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C/DdCiJ8Y68o8nqfNSPAq5VxDwfE+yRhnITSb7rhScee2tsA+GGhVMqDQFiWD+wKtly68umAw+lEIKfnE7CKFydnvtsh0znJ9Fhl2wCoCWcIYQUEThPu7DHPNarPPWrPPnYMeg7wgOI5NBEpirJtM5nl5uIhFYK21h8BvAL8hhFgAfh74T4UQy9ba62NdocfztBgJWCFc47kscwI/SZw1MDPj4gTNpnslCXz0kYstJAlKKopCcPeohxIB2hY0yuLjB1ovEIx+3AhKJQSlUDFVDSiMRYqAPAUpLdemKmS5xVYCoqhwCkuI+yyArNBsHwypRgFRqMZew+B5NlxEEdz3jVtrt4FfA35NCHFjLKvyeJ4FUsL1607wdjoutXR21lkGUeQsgUrFFaDNzjpXTRyf+O0RSDsFdhcrCzACaeecm+Xjys1H9C66UP8hYTGiiZIhkUrQtqA22ac7FPSGKVEQ0ii7FtJKKrS5v4o5ChTTlYhUG3Jjx1rD4Hl2XEQR/LsP+8Bae/cK1+LxPDuOUzRJEvjc55ywB6cElpZOfr73nkstLZVgYeHkPq3RUhGpmNemb9yLBQwy8+StIE7HMe4t117Id6+NJggsN6YrGANSxvTzHq9PLbHT28OKHCWDk+C1sPeqmAMlKbQhiQKW64kfUP8S81hFYK39/aewDo/n2TFK0Rz54q9fhzfffHAXHsdOUaysQLnsPtvYuNeXSOFaQRjjCrHOulEe58a5DBftPzSqC9CmuK8uYCKpMZHUHgheP6yKOQh87enLzGO/XSHEXzz1flkI8btCiJYQ4ktCiDfHuzyPZ8yMUjSLwvn9t7bgj//YKYezHUS186Fz86YLEqepe83Pg5SPnAZ2OgC72uwzzJ8s8e6i/YceNd3svOC1MRYlBcv15GNXMXtePC7iGvol4DeP3/8q8A+APwP8HPBfAz89nqV5PE8BrZ0l0Gy6Hf7kpOs5tLbmrILTimCUsRMEzioYDp1CqFbvXXJ2GhjCkuYZW62UKFAfKwXzXEtCWKariv1OTlqYR/ruL5q6el7MIQzHbwlcpaXk+XhctrL4TWvtzx+//0dCiL9x1QvyeJ4qo0yhNHVKoCicCwgezNcfZfGsrzslIAQsLz/wSCkFEnGvuCwtCnaPNLcaSwSqRCAgzXO01kj56P+C/bRgsz1AWFBKsjBZwpLdK1qzAmaSOSZLtXtuovNaSEsh72tPcfaai8YcrprndeDOq8ZFFMGyEOLXcHkPs0KI0Fp77EwlHN/SPJ6nwOlMoXbbKYGpKecWeli+/nAI3/8+HBy4gPGtW/D66/e1fjhdXBaXShz2eqy3t3itMo/Z2kEWGtUrwbVrD20Z0U8LvrZ6iBQue6dRDtlq9SnkDpEKwcB6Z5219io36jdYnnBK6bzK5tOcV/0cyNgJY+kCxFIKTHEFge5H8KyUj+dBLqII/vqp918BqsDhcT3BF8eyKo/naVKpwI/8iMsGgoc2j7tXaby56WIJAHfvutTSOHbK4PieUXFZopwQXposc3e/SWd1nSgusTBXQ9qTcZgGcZ97xBjLZmuAEoJa4gLPh/2caiwwShMHEetH68RBjBQSgWD9aB2ASEUPbSH9sOrnG5M3yQvDXmeIEAJrLfUkGmu9wLMYuOM5n4tkDf3dh5zfBv6DK1+Rx3MVjNI6LzI3uNdzA2p2dpzP/xx3D+CeNxy6nkNh6GIDnQ5mbxe9MIcqcmTk3Epnu3hKqbk2EbKiIZyoIIUAXKvr4TBju6/vc48o6WoPggCGWUoUhmSZRiYRmc14f3+drc4OSVhiqlynFJZoD9uAa3UNLnMp1Sna6HtuobMK6vQ1CPfXF8c/xy2LTwe8R6mqvljt2XDhSJAQ4u8KIeqnjhtCiN981D0ezzNhMHC7+9Fr8IgJW70e/NEfwbvvQr/v0kKbTbfzPztB7HR7ByFgMGBgCnaOtlnrbXH7aPXeNK/zsnWWGyvEUYQsCveMPMdIyXYvf2AesbBQmIxutsN6Z4vv7d6ll/ZZmIgpCtg9sux3JNutgryAXOdEKiJSEbl2ntvzWkifVlCnr0FIQiW5MV1hqZ5wY7pCqORYW0k8KsvK83S5TErAD1lrW6OD47YTP3z1S/J4noCLjo8cXbu25ra/5bJz77SOf8Wz7MHB9VJiVq6TT9UxSmI6R7SzI8TsLKXX3iAIIjY7mxjr/qxRts6t+i3XeC6uOJdTUbhWFUVBPr9Apu2xhXCqlw8GI5pEYUg1UaRml4H8LqtHH7JxmFILllmpfZKSmGHjcMggH7I8sczyxPK5qaL3/goPSScNpXI1ENYSHq/haezOn3TgjudquEzWkBRCNI4VAEKIqUve7/GMn8t07BwJ+iRxLSXAXVsUzu9/Jlg8yAdsZruYz1wnmgqYkp+knzYpfeKTUKkQwgOumLPZOqdbRgwNbB6l7BylNHsZi/WEQDp3CdYQBJaZGnxt812ikqCba7qDeT7aP+CN2YRGXCMJI1r9ITcmXyMJnVvqcamiD0snfVrjMM8yyrLyPDsuI8j/C+BLQoj/DbC4xnP/yVhW5fF8XE537AzDR3fsHJ2v153vf3vbKYe5ORcnkPenW252NpFCEkw0sDJkf20NEUaY7W1kEJBHwcWmeUmJQbDd7hMHkpXpMputPh/ttVmZqnKtUSEMBALB2tEqSkFImb1+yod5m6Ko0B2mWKGxRjBXnSc4lYb6gPI5bwnnXHO2BmKkBM5LR/W8XFxYEVhr/0chxFeAn8KFkf41a+27o89PWwsezzPjguMjAfd5lp20k/7Up9wksmrVHbvmPIALsvayHt3hESZLSbb2SMp1rk/f4uBoB3P3I+ytmyxNLj9QqXu6uGwkULXlXsZMYYag9smKgowelmWkSJivzHP78Da51hz2hyzW5shMxsJEjUBMUQ9LyEgyVS0RfowRluf/892/O3/YoB3Py8WlXDvHgv/dh3z8u8A/98Qr8nielEd07LzHKBU0juGTn3QKwVpnRdy9+8BoSCEEzeYGtf0OsRHYjR2aSwW35n6QpembFEdHRNXrBGHp3h9xulgq0ylGNAkCixKKhcoiUgiyomC7u40koFGKKYXyXspnNa5yq3GLufIi3987oLAZAviTKyvsti2NckQSBSzWk7G4cE6sIEUoS2j7YDqq5+XgKn383snneX44p2PnfXS7TuDHsRP48/MuNrC25hTJmdGQVmsWOoZuqOgJkFJiNlI+qHVpp5bpEJJOzoIKKYWKojCsN/vEoSRWkq2DXRCKG9MVtCnY7m2xOLHCZqtHNyuoRRGztYg4kHSzLtpoQhWyPLHM+tEGjaSBQHCzcY1SkBBPGZbqCaGSY/Pja6PpZzmDVByPuYQkzu+LgXheDq7y2/QjizzPHmOcAD8vS+j0NTs7bvcfRS6zaGPj5J4wPPl5HHxW2pBoxUx1gdlgGs005d0Www/uUEqH9CenUUqy3erT7w64s99hozVgt5PSTzOksigR3OtMqq0mVLAyVWG+ppiuQRzKB1I+kzDhWu0GS5XrCDPD7d0h7X7KYj0hDtVYg7kCSatnsVaTRAprNa2eRVyp2PA8D4z9GxVC/IwQ4j0hxAdCiF9+xHX/uhDCCiHeHveaPC8pF6kfMMYFhrV2AWGtT7qILi2dBJiNcXUFQkCWIdfWmWgWbL1zl7X31tjSIckbb2GXrlFKYnQQItOU4s5dNr/5PcKNVWKTYrSm2S8oCtC2QMqT3P1MZ6wdrWJEzt3WHfZ7+w+kfBpj2T3KsEJzlO6zP9jhOzur9LL+2P85LYLp8iwITT/vgdBMl2ex3vh/6Rira0gIoYBfx3UrXQe+LIT44ukg8/F1NeDfAf74CtfjeZU4XT+QJE6w373rgr9COPdPmp7MHdjcdIL/dBfRiQnnKnr/fVhddc9aXobbtzHlMu35GyybDezGBtHCIkcTs6gwYJilKK0xd9dgv8nQFnTSJnm1wsbcMtV4hmv1WVCHHA27hEqxVFtku7tNIANmyjPUohppkXKjfuO+DCBtLWme897uFnEQMJGUOeqnfGtzjT/92ifvtWcYB0oIymFCLV5GCIu1Am185e/LyKUUgRDis8CfPj78Z9bab576+Lx21D8KfGCt/ej4/t/Cta8+G3D+j4H/HPhrl1mPx3OPUTvpIHA7+d1d1xRuddU1hksSFxCuVt17IZw7aGQFXLvmYgq9Hnzzmy5eUC67kZTb2+iJSUxPk5RKMDPD0lyD1d0mVT2kXQim52fQO7sszNT49uGeSxFdv41uKPY44E/UfoR+ukiuNYFQGKPQVhPLEoW2hCoiNzn2TCXvIM35aL/NxmGf2VoNgaYUhRQ2JdPFuYrgqto6nx5SYyx+TOVLzIUVgRDirwC/CPzD41P/kxDiC9bavwNgrW2ec9s1YO3U8TrwuTPP/WHgurX2/xZCPFQRCCE+D3weYGVl5aLL9rwqZNlJBfHeHkxPO9dQowFHR07wr67Cpz/tFEalcmIRRJGzCPp9+NKXnEJYXHTH770HaYqqVpHlhCLPCIKAYGOT5aMjlsoKNVXHdvdQJUgpqOQdttbXUd2M6m4fsQLf3rrLa1M3qCURxsB+J2dYGLYP24QqwmAeGHR/0Ovwe9/7kH46YLPdxCLIijI3pkOkDIjUyX/fQmuGeU6uodUvsPCx2jqfrRl4WG3Bedd6XlwuYxH8JeBz1toegBDiPwP+CPg7j7jnvK3DvS2PEEIC/yXw5x/3h1trvwB8AeDtt9/2gWnPCca4YrDpafjOd1xa6PY2fOITTqh/8IFTBHfvuvM3bjhXUaPhLIm7d5318K1vnbScaDScq2h3F1ZWkEHAQjZga1DQiSvI9JDlN1eIywlojdnf5aBW5r21O+zfeY+tfpNo5hpiuE/pw5jhEgSBJZIlFqvz9DLNertLp7+LDCTT1QWkvQ5WYDCkecbXP/geaqvJtVgRS/jgaJ96eY7CSD6zcP2e8D3sd/na2l22OilHPcMbswu8Od8gkOJSbZ0fVjNwXuWvry94ubiMIhDA6eYrmsenjK4D108dLwObp45rwFvA7wvnd1wAviiE+Flr7VcusTbPq8zILdTrufqBUsnt5lst1zqi03E7/GrVpY2urTkroNuF/X332Z07UKs5hTGqMbh508UMJibc0Jo7qwzWtmn2Dwl0jirdZKl0A4qC3c42X0omqZQMshLSllOQDni91WLQ79ItzdMshShRsHF4h5LJqLY7LEUlCmsoSpZQhnSzPnv9bfaPDnj/nS9BNMdqVmEqrFAfptyaXGBhcoLuUNJP+8xUQ761uUp3CFPlKkU2YKO9x0QpZmWq6nbtF2jr/LD21KOagdO7f+CR13pePC6jCP574I+FEP/o+PhfBf67x9zzZeANIcQtYAP4BeDfGH1orW0DM6NjIcTvA3/NKwHPpTg7ZezYr4+UTtDHsRPuCwvu2l7PDaMZDp0CWVtz7+fnnbVw+7a7rlqFt992raa/9Eds7XdIZcrEzeuo/RaH6/tYmxIohZ6fR5clO1FK91BTszWGIZSSCY7SIbRgv5ojpaTZ6yH3D6lXKsxMRCwnErO9i55cYae3SyAV3UGXXl6imeckoSQrjpggJs2gFAVEgRvksnbYpV8UhEFMpARxGHA07DPMCgZ5gTEgLmA/P6o9dWrS+3b/s+XZh17r6wteTC7TYuJXhRD/FPhxnCXwF6y1X3/MPYUQ4peA3wEU8JvW2neEEL8CfMVa6wfbeJ6c86aMfeYzLkZQqbiaAWOcy2eUGrq56T4/OnLB417PPadaxbz+Gjodon7sTyELDe+/77J3ghBdj4nTgqxR4aBzRJsOQSlh/uYSR+vfJwpjivkpwlafSCpmSnU25iaoCMW1RsjdVpdmp01dN9EyZb87hdYB88IwH1l2TAEyYKcP1WSKtcMOQg6xeshP3VykG4X3dSoNhCKSim5agA3oZznNnuaO6tHLC1YaVdZbA+YmIkLFQ/35Aok1krTIiIPoXoqrEOKB3f9ObweBIC0yBAG5zhFCPr7Hkue55bLpo98Atkb3CSFWrLWrj7rBWvvbwG+fOXfurGNr7U9ecj0ej6NSgc99zu3u4WTI/PXrLitoe9sJ/nrd7fhLJecGqlSci2huDt55hwxDHywAACAASURBVMHCPO2sTTE1gfjGHzLVKYiTKt1mm61WSv+gQ1wqQVljZ+sEN29S1EpsZvvcmCjz0WGbpoXahCGKQw4akyyZSdJhh3Y+YKe3jxEQiYD+YJ8wTKkVdd6yUNvdpdXbJp2b56CnSSdy6t0BZH1kMEFrMkTgBtgYY0kLTaAUf+LaCl9bu8t3tw9RSN6cb7DRbNLJLJlJuF6fYq3dYXZSEsrgAX/+MNdstfqkaZXt9gFT1SHlKGSptoS19tzdfz2a5dubm+x0MwIkPzC/RFZYSn547QvJZbKG/jLwN4EdTuIDFvih8SzN47kklQq8+aaLGfR68OUvO4EfRc5CGFUOS+kyiN55x8USXn8dJiYw//zn2GkoomabOIpJp6fZ+u43EV/5Nt+cuAY2pWil5NGQnel5ZqcstcNDdDBNtr5OIiTT/SPK058g/sEAu72DGm4TRtCfmiYblml3QYkYMbdAeBjTbfWYNTDx1utQqzIlDeubawzzjDwQRIsTDPuKPKpDXKZR7dJNK+x33GCZuVpMJarwJ1dWyM1HhKHl/a07JKUpKlEFgeGP19/lB+aWKQdVLMX9vn9juXPQ4qC/i1TWBYZ1gxuTMwRKYay5b9JarnMEks5AUQ7meHPKoqSin1q2WgNuTFd8eukLyGUsgr8CfNJaezCuxXg8T8yov9DennMRWever666rKLZWeceSlPnFsrze7OK9WETcWuauJOia1VCvcvu995nLa9xYGMmBz0m2vskr7+JDjRz9SViG3J454i+qjFXXeHbG1+nu/UBg0aZqSTitdosN6dXUKkmsD0WGtAbCHIZYGYalIqYsDLHoBSw11pFW400mtcb09hsgZ3VD8nyiCDvEhY5UgqUtKxMJUShwhSarf02mdpjMimDASHhaHiEIsQYwW4rZybR3JgyJNH9/vzcaLa7O9TiiECFFDJnb3DAJ+w0ASeDbDY7m6Q6RQnFfGWR7ZZGCEGgBFJKpDHkerzD7j3j4zKKYA1oj2shHs+VobVTAIuL8PWvOxdQELiisa0tpyDW1tzPMHQ/v/511Od+lLDbpxhkBNs7dD79Jrerk3Q6bYqdAfuBYDg3zXQcYXtHtN5/h+1KnbmkwczsIh8eHrE9nKBOStYPea/d4c6h4YeHiplaCSuHLEzEvHc0JChLgkDy5rVF4l7MVnODUpJQMoo8rhAEHXprmmamiEPFSh2Sg32aap7lhqQUBTAcIre36fUHCLHH0vIt7g4MR72Afp6SpRkTZUkcKBplyV4nY35S3T8zwRrAcCIKAmB4fN5lEwUy4Eb9Bta63T9WUNgDNtsbBCFIK6nF08xWY191/IJyGUXwES7N8/8B0tFJa+2vXvmqPJ4nYTRwxlqXCRQE7v1oAM3+vnMJjeYNDIcQRcgwohFM0jLbZIEgT1N6JqO4dY3K2i47ecHmsGBycMRrgzZ9HWOlpdtcZ9AOWJMz2DSg192lNBnTHhpkPWWv2yLXMet7PYpmj7SoMZgQTC8usRfWmZ2KSZobVKxABAF6aYnu3Q2226ukImAwPKJTLILRzJanEUiKvCDY3qaQirBWw2ZHqO0NSlPX+NRSg29u7pBmGc2u4q1rr9FLh+z1jihHFd6YPalBCIOAuVrMYT9D6QBtC+ZqMWEQnFsrEKoQgwF5SKMa0+5DZgpK4SHzk7PeLfSCchlFsHr8io5fHs/zyWg4zfq6qzgWwrmF3nvPnWs2XQzh6OjEeqjXwRiSICK+9gnyQBJfXyLQA6Lvb3B3kJNlOfsLCyxODND9Psluh83SNEc2ZHbQJT1qo7s9tkslGiogCCOms32GheH2QQMO2gytopRotJglaA+4Y3toK4iCWeZixfRElW+udviD7/apDGeYSAIaZUlvoKnPLxAmVeYmEnYPu6RpgaxELFYjrF1mc+sjuoMO2JCfuPVp9roFB0c5oaywODnFoMipBBVidTIzQQrJrallwmDjOA6gWJ64Bjy8VkAbTRBY3pivUWiXmzrUPfy44ReXy6SP/m241yDOWmu7Y1uVx3NZjLl/EM1oOM3UlKsOXltzaaTT0/Dhh65GIE1dbcGdO05x9Hrw9a+TliL2/9RnGLY2mNi6w44pM5yyTB4MCJurCNFga9Akrtxi28T0TIPbB4fYYU5FGrr5kGb7kCBOoOiw1coIiEiKAVEySSQB+mhdJhaCcihAGd492GH3Qwu2jCVGVAP6gx6hgQ6WQb3B9bob8L4yU0N3SqhQIgMJecCN6Rtk5Wk2OwN6RYvCZhymORNZQK5jrjcm0Md9iE778ZMw4fWp1+5rF5Hr/KG1Ako695I2BVHgAsihDHz66AvMZbKG3gL+HjB1fLwP/FvW2nfGtDaP52L0eidpo0I44a+UCxIXxcnkMWNcYLjddlXE5bL7fHLStYkYDsiThFbegaM+Vdng9bjO3cH7zLYOmW4NUHaSu0lM3pW0sgGZ3iMdGMo9zWIFqJZBZBTDbbI4YDctM0wypHbjL1utPpqCJOhjJkvcWlzmMN1mcTJhvnqd7WabSgmSyLDb69FPDUGxx7UZwap+l+W8QimcQgYKuXyNYn2NYa9LFEUEy9e5LhTv7KwTyICJUoVbMylCdLnWmEcKgbWc68c/O8N4JOxPZwuNYgvnBZBPt872vHhcxjX0BeDfs9b+HoAQ4ieB3wB+bAzr8nguRqfjGsWFodvhr687BWCMqw24edOd/9rXnHIoCtcyYnXVKQIhoFplUE7opm2a9ZjNnT6l728TbX2DSmuP8rBgrzKH7bSo5BmDWGPjWQ6DOaZNF9k9JNNlvpE0mCua6PYeMm5SaVynWRUEYcThYJftvIrqHVJSIZRK7Kk5Drb/KbVyyvcPasTyOt1hieZgSCfNyG1Bz/RZrEmmqhVKqsTXtr7OT976CQIZcGg13yEnkzkRgk/pgjiElTnIsggQJFHCsOgzyNzu/aLdQx8n7JMwuecmuoqmc2c7pvqGdk+XyyiCykgJAFhrf18IURnDmjyei9HrOSWws+OE+kcfueKw6Wl37sMP3e6/14Nvf9tlDW1vO7dRpeLO1+uYQNFkQLGxzn6zR7ckaH3wPnFY524/RB8dYZuaA2t5r77EcnrATGjoMcWHqcLGVfqyjEAju0e0TA1pQzJV5ShdIh9kDM0Ai8FOVOiLNfJSglSHTEcVtK7TtwmpuotWkKWTDLKIclRGqDafvraINhntXkBf9zkaDJgolfnW5l2UkkyX63QGGf/4u99lbqLEXm+bySSiouZRUpKEIfOTCbU4ulQw93HC/qwV8XE5PdtZCsFk2dIc7viGdk+RS2UNCSH+I5x7CODfBG5f/ZI8ngtgjOsaCs4a+P733a5fCGcJ7Oy42EDpODAqhAsSC+HOf/azLj7Q6ZA3JuitvkOcG2zep5MlRHu3kSKgF0yynyzQONinPTFNzyjWSgtUtt/nbnydZmOGJBkyGGRMd4YINUlUbbArAuxWQaoUbRWQITB6klBqkmSe3mCXTjrAmiM+OVUjDLs0s3UmynV+cPF1PtrpMZH0SOlibI8kigmCgpiQw75BmyPW2utMJCUOhxJdTNAaNLk5fYPlyWW+tbHOVPUur03fZC5Z4LBXUIsvl+PhdumgRHCvrcVVY4xluz0kVIJAKbKi4DtbayxPJSShb2j3tLiMIviLwN8G/ndcVfEfcIH20R7Px+ZsAPg03a5zA21uwve+5+oDvv9999m3v+1SRkfB4GbTKYQ8d88ajbScnXVupGya8PCIg7kG32gXtJFMyZBUWvoG8mHOQbkBGKLCEg2HvDv7KcoNTc4WJSRFUqM0yOkkgo6cpGsUij5GDynpEBvWSY0k15o8r4GIqcRNmh/t8b3V76DjBUQ9Y3E6YbFiWazH7A1XCZRgq7vDW4uLFKbgswtvgRXs9neJgwhFiBWw3tpGSIOQlnavCSLAiiHTyRTVUpleWlyq2OvsLv2ycw0uirYWY+29ATtCWDKjUcL1qvAN7Z4Ol1EEr+NaSsvj+34a+Cl8iwnPOBgMnJAfKYKlJefSgZPh88Y4IX905MZLTk661tNZ5moDGg04PHSzBooCpqcx1Sp6cgLV7UCvh56aQpUrhGnBh+t3qVrBfmWedhxRDC1V2+fO5CJblTkSk1PN21RNysZclbwMpD0GczO0elUOgDqC1EgCFAFV2gwQGNI8xJXfaECCrRMPU1Jy9mXItMyxrYC0lvHVje8wW00pTMGPvfZDaJ0wU57kMwufBivppkNEYPjB+Wt8b2eb7Lhz6K36NHu9HaQIKauYkhIcDJokQQUpLj5i8vQuXUpJlms2WwNujqF9hBICKQSFNgRKYq0gkgptcwKi+4LUnvFxGUXwP+NGSX4HV4ro8YyHs/OHRzOGb91yloHW7iWE6yN0nPXD9LS7vts9CRi32+6eOGZQ5BT5kIKEIoyQ/R50DGL7Lt3mIcNSnX5NUE+PiLXAhpLdaInrnR2yUJIj6EeS1rBJJ58l3s0wtsSutnSEpUZEBhTEHA0gZIAIMoowADRCpCDddDGTBxSEzFbqCFWmXomJ8y5hlBLGZYY6Y6n6gxwNJNPlCrudNs1al6O0zUTZsnW4RcQsi7VF0jzjjRlBSTb45va3KYWC6zMBiVqklxZ0o4zr9RraWjA8VpiPdumFgf2jIdpY0twwW4upXXFXudPjMNOiQArBW4vXaQ536GZdn5H0lLiMItiz1v5fY1uJxzNiJOhHFkAYOgthOHQuHqWckDfG7foPDpywX1tz11nrLINR9XCphAlDstCidIGSinZJEfRyquvb9EzGxkQDKRSTnR6FNfRlSCPNSBsV1iozBAaa5UkyATsTn6XU6XMY1dFRRDYwqKRHRsEuU1TpoKiQ6hBjJqkNdojpM5QRolphoAOkzLCmQiuNiALYN4JGXKZmy0xFdQ4zSRIkSGGQQmOFIWefuYkqoQrZ7xTs9bdZqM0RhhG1cJ7XpicJwpsoKShHCd1hxkbLkBaWb6y1mK5GJFHwWDfPyHLYbg+IA4VSAmMs+52UShRcuVVw3jjMyaTss4aeIpdRBH9TCPHfAr/L/S0m/uHDb/F4PgajFhFp6gR8v+9iAKPPJiZc2ug3v+mygPp913X0G99wbqLB4CSdNIpgehptLaLdRCiF7XQp7W5S5BmFhlxYrBHMIlhVDQoMzXJCZJp8FM+yE1cIjaGc77A9cROKAlGUaNuIXMdUigMyUUKXquQIxCBCI4jsEVGqiTOLUJZeKUYMUmxJok1ChzqNokuhh7SzAVkc026lGJuS5jFWd4jaIbHsMV+b4NtFSjmSWKtJswIZa7TRRJHAWIuQkpuN62x2NulmPdabBUrUWT0YInDN6FZKwWPHV0opmK3FbBwOEMIghWCxnpxbjHZVnB2HeVUZSZ6LcRlF8BeAHwBCTlxDlpNh9h7P1SCl2+l/4xtOmB8cwFtvOeG+tgZ/8Afu/Sc+4WIAzaaLGYwUxHG7CEolFxtIU9TBAaIcY5XEHuxB6xBdDhgGCdmwi7WKfjDFbLYPhaWwM/TUJLPdDQ7V6zRLDYZKkCKoWEs7nCFTEYVKMIMMaXsMbILKLbLICW1BP6hTqIJ+CZROKac5aaERFNgkQylJUcqQKuGNhRn2OgNKYYfmYBerK/TzPWaqk6ioxMZBTp4N0WIfKy13DzosTFa5VZ8AYzno7/EmjXspn91ByqZtUY1D0jwnUpL9bspKo4yxjxfolShguZEgBMSBwlh7bjGaz/d/ObiMIvistfYzY1uJxzPCGCfgb91yLqIocjv9VsvFC/b3nbJoHzfD3d6GjQ33+WjSmFJOQZTLkCTIep2gyBkWBb1iiDA5YWtIHg+YOhpS9AR/+MZr5OUKVkM0zChChexBLWxRWIuyClWuMVABeRAhhGtml8uEYRgSZDlK9yhsQCoTCgKsUEiryWWOCaYQRY8wLyjUAaK0yCANUHHIerNAB0NmYuhkKbGcoJ23qRcNUt2BjmZz/5C+kUzOKQoGtLpVvnr3iKV6iRuzYDGAIissm0cp20cD+rlGIMiwWKNJdUEgg8cGjqV0VsB2e8gg1/cyhwBybRBY+nmPnd4OFuvz/V9wLqMI/j8hxKeste+ObTUeD9wfIxiNmHz/fbe739x0yiCOnUJIU6cQDg6ciyjPXSwBMEKg0xSRZdjZOUKhMIeH0GuD0eRSIoaaoRAMwjLTh/s0SxPslSfZnF6CYoi0ApUPUGFOvzJFYEKGIkYhQVuEEGgBmIJQG2xQIR7uMkARiBwtJQKDVpNIDUJVwA6huE6SDykiRSih2dOEpTaHg4LJRHLUP8LSYVBsc7TTx4opMpExmyxDO8JGAV3VojOYYtPmDPOAT81alHCDZvb6u6hgyM6RIZRl+nmXckmycdTjh5ZWLuTnP+u7z7Rhtdmnnw/Y6+3Q1RvU4hLXJq4RyODK8v3PVhl7xs9lFMG/APzbQojbuBiBwDWf8+mjnqtFCCf0u8d9DVdX3a5/d9ft9K9fdwJ/d9cpgSRxTeT6fXcfMADAMlQRO2EVo8pE3Q6TWlKoADm0KCzKajoVSREKMmnZK0+xW22QSUWnMsMwLFMbdoizHsvpGoOgRK8akakIVRRIaxFEBAWgBwgVkckJClVCmQ7lwjCUFXJhkIEgzgcoCanQDLOEqupjZYEIUqQQpLrDYao4HOwyWaqw01mnrucoVTNEYejoFof7il4cUKgWmR2wNFmiOWzwvZ0dPr24wGZnm3KkuDkzwXZ7wAf7q3x2+To3GjWCQNMc7jCZlC8ksEe++1FKqZKWTraPkpJBP2K6HLPT3WGlvnIl+f5Pq37Bcz+XUQQ/M7ZVeDwjBgPXKuLOHSf82+2TWoHRaMn334c33nCK4sMPnVJotdz9xtwLYBmp2EkmCHWBOtwjswFfbtxkaAs612pMDjpMZ3ss9tq0kwYf1W+yOTlLXyT0oxLGQF+FDEoNDiduIqymG5UwNsQKSRHFYEGIhCQt6JdmnMtJVbFWMggr2GwHo8ogLRiNEpoiDIkxSNnHkhNKyfxEnaNUIIsJiuKIMGpCvMdR2iXWYNNrLE7W2WjeJZGT9GWdQS7oDQ3V6UUCBe/sfZflRomtzjqlMCSQkmpSZ3pCc2smIQkVoOhmXfKiQB67iE7vuh+2G79X+CUsBkM1ThAdeXxeM8yHT5zvf1/9gpCkhfbjL58Sl2lDfXecC/F4MMZVC+/vu+6gh4eujcTdu07QdzouFvDhhy6QDC5+YIxTBnmOEeJeSpu2YLQmkAbdy9mpTNEOE4TOCNIhO5Uqm9VJ3m3AVnmKXlzCGkWzOsnu5DSRztEiYKgE3dIE1uRIYchVAPZ412tyrFD04zooi5WQmQiEAQqG0TSSDMgwKmRADIQY3ccmFQYMOTrK6OZHlMIScWgoRIhNb1GYglogMZNN5LBF70hwOFQwM8RYTSAFgzwjMwVxlKDtkM3uOtWSZqvdoTCGTG9wY6rOSI7mOqcoBOutAVpbQqVYPG5t/ajd+Kjwy1qQSNK8YKYyQz/bwZoMG2dca9z4WG6hUcDZWHGvfmGv49aR5oaZMdQveO7nMhaBxzNetHZVwXBiDRwcuNYR/f7JnGGl3HWjFNOigDx37iBr7z1OGYPQhrTQWAtDqciFoFWeZa82wVapgbIFU/0WuxNzCGPYK0+wX56ilUwirCDUKQMVYYUkCyIIBMjI5cuRI4zCigCkBizIEGQAOgWbglQYGQADMBlaHSfdqRiKkCxQRLqgk2YUpkMSS643brHX3yeWfXKdIMMCXcsQQUBma1CyTAZdTDelkyWUAkMsUypiyE5nk1a6T992CeyM++fQVTrDIXnkBs/neZnDbBOpLEYLUj3HJ2YabLX6COHmGhvDfWmmpwu/atEMm+0dDJown2C+a7iWQ9Lbvr8C/AKcnoLm1lan1bfEgSSQAhsI9sZUv+A5wSsCz7PldD8hpdwOP8tcOqjWzi2U5yeKwFqXFRQEzjV0LPjPK3WXWBZ6TXYqU+RKYq2kMLA2OUMvjNmvTdGJylig0e+AsKxPLpAGEYUQKGHoqjJYi7AaohKIY9eHAAixgXQJ+oTAsRIjdOdkiGspkdNLekgiLC0Ek7hOLRIYMiAiyYcMGJLqgN6goNsTdAQkUjFZXaYSHXCtPs+HB3fJTUGvHyPlkDg8YK89pFpETPQrRM2EuJ4woZbp6DZxpOgWXbbbk/zoyi3iMOGPDz+4b1j9dneH6WrA3fYGceh2/AvVBYwNXJqpsaA1JeWCx7kuEasIYTTB9haiGrArAlaURJ6uAH/cV2/NA1PQWsU+m4cJQaAIlODNuRrA2OoXPA6vCDzPjrP9hBYW3IzhrS3n/jk6ctlBjYZzF/V693b/1GonLiGcuD2LBUpFxnJ7h1xKkmGPjxqLHFTqtEo1SkVBqgoGQQw257A0ST8qYUVArDNyFVEEo/8iI4F/GgEiOP6TXPsGZIDr4yDc59YpCckMxxe46WMY9zkGQ84ASZJX2GlqTFYQBxX6ukWnaNLKFdNpFZO3CaJdDv5/9t4kRrY0Pc97/uGMMWbknHmnutUz23ST3VDbgA0ZhgTIG3spQ9BKNgQY8MpbAxbglWWvDNALCwa1EwwZAiUCokmAIkWYQpM9sFusqq6ha7h1h5wzYz7jP3hxIjLzjnWru26VxIoXyBsZcU5Enoyb8X3//33f+75ZQVZB5PdJQktbRgy2E0R7jWEhuPjglA+SKYU/ZTO9g0wVIwT3R8e8vn6D2lZ4v7Sr1Bg359GkMbMJZQQYHo4P2evcQJVF8/+x+D+Se3vIMKKynvm8wk0qZKpoBQ6rImRVNee+RCKwC42kpQuakpppWbPV75LqCCkFw6xisxO/tE7SCr8cVolghS8GT+oJTafw53/e6Aa9+Wbz+Pl5UyK6f78J+MudgPfN+frqz9e84EcJPMJ5ztsDQmPo5jO897SqikoILpI2j/r7FEFArSK8tTgVUulFUHcOlIRnrkh9cw5i0RdYXk2wOD8Am5HkavF4E2jzxC2e11o8PqemIHA7DIsHaNEjDXcIsChGlGbG/ekFUnqGuSBwW1Qo2rFGM2Lme0yHMzZaHbaSLscq4GJqKcI5F6UgVCEfXsQgSzJ3wMXFBdvtHZwVFLXldOpJdEReGbSS1M6y0VLIw8OnNJ/EzduczypiJUlDTWEs58bzVVNd7exeAk+6oJV1jRSKW/0OZ7Ma4zyV8Wx2olVZ6BVjlQhW+GLwJFfg/LyZ/3/woJkaevCgGQ89OGjKQtAEJOeutIfKpi2cX3vZZVi+vh6tdMj7/T1+cOs/RLma0FactW5y1FXUDjySSinmOsY5jws11gEosDXoYPHKz4EHvF2UjZZN5HJx3zTjsN6CMIvTM5Ic5glIesAcjyGQGTpQKFVS5A5jalpRhDExw1qw0+2Rl+u0w4d4awlViSDi3szgQoNXnqw4wJqQ9t5X8CNFWyckAbRTx3tn75LGt2iFIZPqkKN8iKnabHXWmZRDQqWIdMp6W4CIaWn1tOZTWeKdZb0VktWWrD9AnZ+xrsAbDTf2X2o3AE+7oAkkO+1tAqXY7+vL3k4rXIWpV43VO7zCF4PlynFR2iHLmmQATZP43r2mP7BsCnvfBFS4CkzT6WO9gaZAIzBSEjiHByqpeNDa4CzpEduKsGpIXoP5BYetTYowxAiJ8A4hZBPERLD4ZMjFTmDx/WPwNCv+RZNYsLi+unlchs1zvAVhF6d3misUErxBMMUzQ2LxROD2UT7C1x3wHYyRlBJCEVLUUJo5hW0j3C2kc1hRczqtqKM55vhNdtqbRJ2v0dpuM6+hG/WYZDndlkV6h69rEh3QitrEQcKbh+9yt/cVttt92mHC4fSIXrTJmk+51dtHqgCUwlUlVkmUdUilUFqThJp2rJHdGLfRwRqL2uiA/nTjo0+6oFXGLyaXlhpHL2etucKvhlUiWOGLgZTNhMnBQVPmefiwWeUfHzelofv3mySwWPUjZdMjgCZ5LJrE13sDpQ45ag1wUlDLgEoocin5cOM1rJQMkzbTTsq7m68hrMFJh7KWMtEYFSKdwcvgiV7Aotb/FJaPaRAeXNE8JoJrz7HNMR9eaxxXzX00njGGCQEdPBk5CVQjIKZJKA4voKxbRELRjmvOslNq08KLCyi7ONcnUF2Ou2M6a+vIaIuTsWFeD4nCmvN5wN32HltlgZ+OaD84odxWnBSWSS6ZhpJ2ZGlFbTbSLbbSXV4frF0axeSba5y89zOsrVEqYOtr3yHR6nKCqPYOKSQ76ynyUyaByz+FawJzccBTSqS/LF7EUF6xlx/HKhGs8MUhSeD27YYgducO/NN/2ngQv/deE/ilvBSNc1JihUB5j7QWRxNWlx9hh+C4NUB7R0HAG5t3GbZ6WCEYRS2ysEWrnHF/bYsKyTzuMY8TSh2RCwkqbBb94smPxEsGCaEWpyqudguL1xKLZjLQ9A48MKeVC+ZJiKckZI5BkFPQXzSQDSmuLpGySxjGPLqoMLUjUBItOsyNpZ8a1lqO0oTcn1Z8v2cZjaesxSk6zDivR3zwwT1+/dvf5ht3/gNm8zGnv7iH2dvkZn+LjbbmbNqosIJir9+55AI47zgwQ/Td14iR1DT3X/N9QiXZXWgPBUp+6mD6IrG6J5VIfxm8iBOxYi8/jVUiWOGLgzHNNNCHH8IPfgA//GEzKWTt1XSQEE0PwDVFoOc1ha2UFEHENEh42N3io7V9hHDMw4RKCiZRi2Hc4iQd4L1nnPSZRwFeqquRUL/8R1y7fRkImgSgrt1/8jg0mcY+dr+Vp2SJwtADIMlLyng5jRSAG1O6GVudLjNriVSKtyEyGBLIC5JYMjcCa2LKuiAzMypXMakc+0mHb291yQrLxMz4WucuP5uPmRUFkTN8c/tblLagjmvaUUgsNzke51yoit1+ipKumeoJm1JcAJTVjHlZcT6zl4F0qxMRaPnSq+vr3IFXIVb3poNRqQAAIABJREFUpA+yse6SEwE899iXeWewSgQrfDG4uGjM5pfM4X/zb5rSzzIR2Kbo4/wLmrTXIJznIu6ivQE8J60+tVKMwjZWawzQy+d4LxCmxiqHV5ImeFvwyxX9Mhh8yqAgXnZFuZweaoEzIAWCgKuPYgJ2DqogKgoCUkQyZ5Q1pS4vLnBVm6hIEGzgyyNkX2Fkh81eB6knrKc9zvITtA44KaeshRkX05L3h2uEfps4siixybTMudXfZy2yVK5mWJyBtBjjyc0OX9saPDbVU9uGkHY2rQm1QivFvKj5i/tDdrsxSslPXF0/izvwWZvTP+mDrJWkNI1nc3MNzz72ZeYprATEV/j8UVXwox81pZ92u1nt37/fSEoMh5dJAJ7ND1jCIailwiAwUrBWjBEejtrrWKU4bg847q5zv7fFUWeTD9b3cdJx0N8gD5o6/WUJRzyvF/Bp8DJJyzf9De8RtQV/vciVgXJQ54i8JuBjZOIIULhyTlmeUOUhwk2peYRnSEGLpEy4tZbSaxf0kj5b3RQdnPHW2Y/QQc72V3YILLz/4JTR3KG2NhgVgntnc8rast1LOcvOENIxykecFyf89PDfMqsy9jp7GGeYVTOMM2y3dvEItJIYZzmZNeY1UagIlGhKLu7578OSOxCoK3N66xuDnc8K132QAYx1l57NLzr2ZcZqR7DC54s8h/ffh48+uvIdeOedq8awe5wjvFw/P4lChxy3BlgpkM6zMR+hraWXTVjPx6zNznl78y7WG/IgRTgLQYSRHbK4s2gIf9Yf/ue93rJH0PgFIALwNV6FIFKSXJInHgjIQ0GSxygKPPuUKAbRCF9q5iIA3yXkHEsfhaXyiq4c89pamzApyepDvr75bTY63+P/+/hPOZ4e0U7WuXP3W7z9QcXtVpuOCFhLPXmt2e+30AqcN5zMRmiliXWbysw4mD7kG5tff2yqxzmP81MmecHJ/JRHo4JYa/Z6IWmUfOLq+knuwKswp3+WD/JO72r66EXHvqxYJYIVPj8414yFFkVTAtK6EZE7PGyOmcdD/nKt/NTLIDhsDQi8I7CeXIW8sfNV2sWM47RPrgLiqkaanCJuYyQ4FGUQglpOBb1cyemzwXK3Ia/uCwU6WVyHpfkoNnXyLAlIc4WRx+Az+uU5fn7AKFUU4juUQMgUhyIU61Te83A0Z82l7PU1F/kFQtb04pidzi53e99gWufM3AXD6oypGdIKe9wd3EArRaAF7Ujy86OSWGuEr7m50ZC4rGtW71LJy9r+3Jb8/OiA9XSLWCespYKT7Jg9deMTV9dPcgdelTn9s3yQX+bYlxWrRLDC54cPP4R/8k8ajaDj4+Z2+WVMkwykBOceI4k9CSslZRByESZYoThv9dCmxLiEizDlh3vfYqojLpIBdaBwXlBG0UL+YYlf5sO/KOt86qD1rMazZjki2iSIGggBg8eTJ3OSPCWcjrjnNb5d4d0Myj9nnn4ThcKxhvIzZnHCfitmp72NUPcoTZ/aKLTf5nRSs9UqmJZjbq+vsxbug3DklWWv2yJQEjy0g202OocomRHIEE0fJfTlSv16bb+faLZ6kkBMeW39BsO5ZVpllMZwY63ziYH1OndAIPELv4PPOiC/aPros5hM+quEVSJY4fPB0RH81m81ycB7OD1tEkCrdSUVUdeP+Qk8D01juCGIaWcohea4s8a2O+NPvv4fcx53OEu6VN6SyYSG4LX8U/9VPvziV3j6sjy01CAyl9eSp8sdSpNgJDEQkSeNYF2tPiZUEkUBvI7FUdIGcmpCyqlGHGo6Qcx/due7/PjDc945+ZDMzgiJ2I9rBmstWmGLRIdUlSUMHDcHCVIKauuIdcL3b3yXg+kBCKiNZLu1e7lSv64L5Lwj0TGlLQk1bHYlPRNzZ9C5bMJ+EqSQVM6vxjj/HcEqEazw6mFMww+4uGhW/W+9daUuGscNczjPXyggdx1eCgbFhFHS4TTpc5H2yFXIj29+g3HUYpi0OW31qHTUMHtRi96DA3lNBuIzx4tGThelKGcbTaIqa5RWCRClxEdLIlrM1TtQAg5tX6Osf0rk1pFitPgJKY7NZj0tao5mY7LyNg/PFG8cPgQiEmfQo3N+dvEH/Ke3N5jvfYs6NSBgrQNaNyl32UANVMzdwV3KusZ7STtML6/+ydr+IBlwMD0gNzmBDLjV33/pJAAvHvFclWo+f6wSwQqvHuNxMxW0dB4bj69GRCeTp05/XoN4CekcYV1B6NiZndPKp7yx81XeWb/NSdrjKN3AhPGlVPSVFMRySuhXwHWpi2ceg6Wq6FVvYHlfNXpDnobA5jwIS2wcOA0o8liRFEu+gQe2Eb4krL+NFx8zSzyBLHHugpp1IiTetbBVxcPhjDsDjfc1OIWeesKohQ5gp7dFcfEB82Sb19dfZ6u1ycH0kFu9OwTyiinsjAcUm53o8ff8idp+oAK+f+P7hCp8Jinsk/CiEc9VyebzxytPBEKIvwX87zSf7//Le/+/PHH8fwD+W5rP/inw91ZuaH+F4FwjHndx0TSJR6MrqYjnoHzO4w6BXfQQ1vMR727c5Li7wVxFHLb6HHfXmakQE0XPCNafUcnhkwLe5abgeQ1pDa5qjGnE9SJYAJQkhW/OuS6dJxIgJEu+hmBC6DaBPhEpUOGpCKWksorzqcC5DfK8IhIhhTtjTQqm5CR4Qg/9uEcgUx4MJ/h6RqgDdnoxtwYp88pwNi05GRd4AXu9hDRqwsSTukDPCv4vK90gfDPPX9WWMFCrMc4vGK80EQghFPB/AH8TeAj8SAjxu977n1877afA97z3mRDivwP+V+Bvv8rrWuFzgnNN8L/eEP4EPOsMB+Q64qCzsZCUhrTMOI57lF4y0yEP+nvUQpKjfolm7qfBItJ7d236aMFEXt73pmEGP7Z7WBraSNDxomS13CksXMsIacxtlqWhZjfhBEj2EUDEPgCSkKalrjF1Cx0EFGVBaTvstLZ5a/o21bSmE0749uYOHRnjtee8GvFvj98g9LsMWn2ShbLn0bjgRj/hbFpQGcOksNS2Kd9850afKFSL4C6fa07/stINy/Nq05SD1tshSaAvxzhfJD+xwqvBq94R/DXgfe/9hwBCiP8b+K+Ay0Tgvf/ja+f/GfB3X/E1rfAqsXQcq6qmHPTRR/B7v9fIR5ydXVlRPgNPTgp5mrA41xFv7XyNQgi8VBy1GqLYB+u3GOQTzuIuZ0mHeZBg5NIo5lWtLBevKxblG+sWpZ6lcc1yJe8WSeBJyYrFLkEsZSmuNZAvdxCOq+Zx3EgVYYD6sp0sVA12aS5T4sWcwoa8dVIh5Ig4tkSh4AbbVNkFbbHB8UbEZpJgnCevDCPveKQKAiVJA8W4nPPR6AHjrCKQiu3OJuPM8uOPz7kxaKGEYKMTPWUb6byjNobDUXnJOF7W/G+sxXjcZVC/3htI2hHtWFPWjhv9BK3lK5efWOHZeNWJYB94cO3+Q+D7Lzj/vwH+32cdEEL8feDvA9y6deuzur4VPkssHcfqGn7608Zo5s//vCkLzefNcfvsVvCzJoUqIEfwztou99p9Ylvz3sYdirCFF45KKB6k6zzqbzNMWhQ6BvU5lRasXfws2fgYe0MT2Je7gmVQX04aPSldsWRJqMX3FVd6Rcuk0PQ1BBV5EnCVOCTWDq+dryirMy5EyKiqubkZI+oeVoWchYa13Zpsf5P1KKYddpgWOTO2kMIQa6iN5TjPMWqCcAolIhAlPz34S5zp0UtC1jv7zAvJw2HO/lrCXj8hDhTzas6D8QOM85xNPa+t7aFVjFaScTHjg4tDhHSXQV3L6LHeQKgVtW3KSdYYHk4eEarglclPrPBsvOpE8DxLp6dPFOLvAt8D/vqzjnvv/xHwjwC+973vfZ5soBVeBtcdx+Zz+Bf/An7yk8ZnwNomCSy5As/Ak+mhBnIJBYpR3MX5GgPMojZZkGKl5yJqc9jfIdMBgoWX8ecVMJRsJoBsBSK89nPFVTnoUj7iyY/ZsrxkaSwwl0ql9eUZzegoi8c0Ho1YFIMSCpb7pQqJ5YhATcGlUA54/+iYbnKOkBYjUrTexUrFL04f0A9vsd3eo6odgRaMi5JhfkblSj6anrKZ7HM8AeNH1A6kU0wLyw8+/Jhf37tDFEiUYFHS8fzo4IeXxvPODHg4PuTu+m2MdZxnp9wYJEQ6vAzqt3t3LiUetJIY66iN42CUU1vDwazg9iAG1chPlLbEOvvcctQKnw1edSJ4CNy8dv8GcPDkSUKIvwH8j8Bf994/r1e4wr/LqOumH9BqNQngJz9puAJV1SSBT8CyN+BpmsWZgnEowCpqLYhswXFnj/O0w1k6wGK5SLtUWuOkxAuI6pIyTBayzy+zM7i2an9pLPgA1jVXfVkSus4TuBbon1mqWlpbsvhtG3mJS3VSb0hyT55olg1jQXn52jkCMGgeUrOOJKK2Mc5eYDglrebMZUgatRhONR+c1nRjGM1T8nTOWpwR6ZC1eJ2aEyouOJyUDKsPmFSnbCT7HIwqtIPcDdGB5CIreTRe48ZaHykFRW34eHTAtJxyODuktCXGSl7v/Sab6S5SQr8liHQIXAV1j3tM4mH59odaEochQaY4GGfcXm9hnfnM5SdWeDZedSL4EfBVIcRrwCPgvwb+zvUThBC/AfyfwN/y3p+84utZ4VUgzxtjmXv3mr7A7/9+wxOYz5+7A3js6YvbiiuO7XEScr+/gaPFe4NdLtpb1GHMWdzhIgkpgza10kTWIGxNHrUoQ/UEe/h5WNbxP2UZyXuoikUFSIMF5cEKA16AsAtnsgXEopTjFzpDIrj2/bJHcH3lv3ydq2NL+x3HGInFESAQSDRB2SdwzY4hT8DSQjDG+xa2PiOTFSr0HJ63idTPGeWW3X6INYb/4pv/CWdTy6PJCe2ghQ5m7Ce7nMyO2VFz4qN7dIMeg26Xoe8zFiGPRkPW05R7ZzXWOVqdio/HHxMHMZvRJufZORfle+wPvkukAj4enz9TUyhQ8lLiwTnPo1GOXqz4b/R2+Wh4wKSYEWn9SuQnVngarzQReO+NEOK/B/6A5i/7t733bwkh/mfgx9773wX+N6AN/D+i2VLf997/l6/yulb4DOFckwQWipq8+26TEIR4dhJQqinhLMhj13cCFpgJmAeCh/0b3F+7yaPeLsedPrMgJa5rLtJ1ZmFAFrRRzlDgsCpsiGIvHTB+ycDia8I6J7QKfE6hI4wOUNZgWVhv+oWiqLGgdCM1LRarf+WbkVF/3bcgam593ZSalKL5WFqSfLm7kOTJBiBRCDw5SV42iUcbsJDkljwRQAfBBrg1pNUUdsr90ZhpFRDRZzizPIyPWU8/4jdvvsZMGLqR46JwRDplkPTZnsdk7buMzBxXejbcBdu3v85bR83qPw4U3URzMJwTyggtNNNqSqAC1tMBAodW6oWaQkuJByf8Y6UiLUNu926y148ItF4lgc8Jr5xH4L3/PeD3nnjsf7r2/d941dewwivEZNKoiQrRmMscHDTTQc8gigE4a7HOobjiC1Q04W4YQKUFoyDio41bHLVazOMAIyUX8SZZL2EeptRBUwoyUUxD0oJXrqjuPbqq6RYzpNLkYYSXIGyNlQHCWTwSrEVISMyMnBa6zqiTzsLQ3S+azPAUuU3Q7BhsvTjuaFjGzfdJLskSicAgCAGFVSmSHK/eR5oAiEjoN89wnrpQCLeG8UNK47FYqDWjacWffXhBrDVpx3N/9AAnDOM8pa/WGeWS1za6SNnhYg62dAQC1jpz7mxskAQR82rGR6NzLvIRsQ7Y7eyy1dpCCEG4KAclQcLt3h0qawiVfjbzWHjW24qzaU1plj7FKdFKauJzxYpZvMIvj/kcfvzjhjH87rvwp3/a7AaekwQuOwXeY7iam7mqrod8uD7gLI152BnwoKtRwEXSIQs14zjFqAgjWUhF/CqcgevzBp9QIvIeMATeE0gogpBZ1EJ4j9d6sWjX6Kom9DVpVdAqJgxbglzH4CyqLhHGYnWAl7IJ+o9Bg1yOjC6TwJJn0FyjuJxKah4XFqySaLsD4XKiqAviDKkDcAprW8jwIVkVEUpPFBQEynM0veBHH3X4jdu71IQMZznrbU0/HZBEY15rb0Cgif0hU2oGXUEt1wlVBHjOsyHtMOU3bvxN3jx6i2mVsZ46vrf7XfSiPPc4r8A8xSu4PioqZKNt1A5XEhNfBFaJYIVfDs7BgwcNU/gv/gJ+/vPGV+A5jeHrRaKlMn997XGL4FFvgMDSymdEZsJp59eQHrKoTyEVpdQ4JZpm8KdqID7ZrH1ipv86i/eZz2kCtBeeyFkmQhPg8Xicd43LWG3p1hlGSbxW1CokNBWlcMQiwjqHDWM8HvySZ3D9d3hSjuI6v2DJNF5+BeSJIckd0jjQG82UDUMsBUpq8CXIDGtzupFhkjm8M1SmoteKqd2Us2zK+UyD69GKWqxHe9wZtLkgAzMn9o7dZJvBjXVu7QwIz+8xzCq882R1xU43ph9t8NXBf8QwG3GrfZc0aCw3P0lL6EmnstKUHEwf8JX1ryBXYelzx+odX+HTw5hmNzAcNhaT9+7B+fkLyWLXx0OXu4GS5g+wEFAoxXRRYnnUb3HY6+FEwFlrm6ByWCURUjTSDMDLN3qfNWl8faZ/GXBdU9+/vlJ3pgnWpkB5iRGa07iHDTS6LqlV1PQBkDgFeRCirScqZkTGUUQaoVIq0XANnNbXdjBPXtf1pHT9Gpe7hGVj+cpVLU8qmnJQCZRoAgoClG2DGpNGObUbomWfOIhwtUKIhFS3MW7EcPoB99+L2e7ss9cPELHjg9OSSAe8H/XZaYe00ogb/ZRQK14b3CDQjyhNTQFstgccj2uE8Gy0OrTCiMNRxl4/AiFfqCV0Xc00r3OOZ8dMqykAt/u3VySyzxmrRLDCp8PJSVMOmk7hX/2rZhfwzjtPWUxex3Idu0QN1HpBynWQhRH3urt8sHWH85bkjd0blKpFJRWzIMLpGK9FYyrzmKDby+CTznNNo9ZrqA0EyxFOmr6Hr1ifTinjlCIMKYiRrglmdbgc+WxkrmsR0skPKZIuys9pmYJCBziVwrLc4V2zo7HmWmN4+S4tr/W6wf1VQkjyJQFNkCcSCEmouSKWeWIMYBBeouScJC5ItKaTTpmXp1TZNrUJ2exE9OdjRlVNy08Iw9eYnpwTbG7gwoB2J+S0sNzcDFHS4bwgCRJeH9zFOstue5+/fPSQg8mYdqj55tY+zhs+Hh+Qe0WgFNauEVl5yRe4riW0VDMtTcnx7BiATtgh0tGKRPYFYJUIVnh5nJzAP/7HDUns3r0mAbz7brMTMOYxruzyI3y9UGSBWQjzAHTZxMZZEvH2+td50BtQSs+9To/TeAuhW9QiwoZrNBo814PCpwgQCU9rVzyWlpbCbjQXZA3giUyFkQGRLTGhIteNdlBqSiSeXEfNL2RLEL55undUUYdOkdE1JbqsmYdtSm+xTjYNZb1IZko35TXR9B+ancKyP7B8Fy1NK10DGick0jfarEnuIF5qGVWLZ3UI8MAIrUHRIhK7VDVU5ZTSn9IKPZ0EugJ6k4w67tPPPY/GhqyqETLmq7s9Qi2YVyU/efQB232JQnOju0crSkEIprni7uAmic5QSMaFp5gfEChNN244AHNzQWV2LpvAT2oJ7bR3eDB+wLSa0gk7bLe3iXTErJqtSGSfM1aJYIWXgzHwR3/U9AI+/rj5Gg6bEpExj8XaZwnH5e0I5wwHHc9x4ggL2JhI3tnc56P1Ld7f2OAoHfCgfxOjQqqwjUM0K/VfdmWYXL/1sFhRK5djRXQ152/rplHra7plgXIVqXN0ZlOGrR6TVhe0QhtLy5XEVUUeS9CqYVJLiXcO6yuMh3mc0CoznAoIqwylQqwGL1XzMz2NJEVtQDukq/HO4oO4GS+VdjGGKh9LENJfbx4DPr+Ur6ipceR4DCGSumozrRTzPEPpOcbHuPrruKCmrI7ZzR4gRIe/tmHQoeHB0VucJy2i3pzDrMN5EWP8kL3uBoHqgbecTD7muze/QqAUzntaUcBur83xpGA4LxDa8NXNLlIIpArQumSvGyGlvlQjfVJLaL/biOhFOiLS0SvxMF7hk7FKBCu8HLIM3ngD3nuv8RkeDhtFUZ6tE7REDSCgLEvGoeCjVHLSEfh2wL32Fm/v3uWovcFBf5eDzleoVYh1BlS8IGf9in+iBtDL9nSFpFHQ9FjcskksFXhD6HNsJJE2JHeCASMSW0E2w8oMKT2zIGUctKmkvLo2t/Ah8IJASZSpOO0OkA4SU7I+v2CatJiF7QXforkcqRVpOacMGna0RTSBPwZy3SiYXspZL/wMgEvHhjKAxNAQz2ZIWlgCcmISLJYAa0Jqk6BQCBkQqJKAXQofMO9mxKIiNOfsRwm9W2v8dPyIk9yw176JDk85zUZ8e3eH/e4OlXUcjObcGXQvZ/8B7IIDIGVjXBMFVwH9OhfgyQZxbWtO5ifc7N3kaHbErJq9Mg/jJ7FSOH0cq0SwwovhXEP+OjhoFETfe6+ZFLpGFnuqM6AEznpqYN4SOOO5CEPuDwbc60tmoaTQEVG7xXmrxWna5VHnJmXc4areDS8qAZVJQ8V6trnxogG8PKYbutoGUyyKjASBx+BwOJSQWClAOYSByFoCDC6MKVodZFWRuJxcJNQyQDiDQmK9AfRlzT/EIm2NkILQVLSqkrVsxHlrgJ5NUIllFqZ4KUlM0bSAvcfXDiMlymdUYQR5wBXFbilCx7XHrvUTTA1a4ekiyGi2PxlNNqloMqHH0gJXYa3FasVZtc16p+C8H9PxDqG2OJMT2u0LzieOj8ZjkqhikGxh3DpHsyO22tsIGg7HTi/mYJTz6DxDaHh9vYP1EQeTY5yoCKRmp72DdbbJtUI+1iCGK9mJUIWf6HPwy+B5wX6lcPo0VolghedjPoe33254AsvpoMnkKcbwY45iWlJHETNRICtP5jyVFry7PsBqSRZ2mMYxb2++TjebMIoCfrH+Gi7aAELyRC4Ytc+HXSaBT8RixZ971GLcUyWONSY4PEVuKekstjQeqSKUjoCSkIrE1KznQ1RRMW+l1Grxm3qBXriRORyqbtjEDhBS0cnHlCpCOU8/n5JFKU7HRM5Q4XDO44RG+RLrFZEpIGq8lYU1lGqZCBxNNlvKVvhrt4sykfbk1IDEswZ4FAsxO1jctpbvHNK3UVjKyBL4nHsnmiSo2H0toLQnTZNZj1hvtcgrxawUvH18xp1Bl68O+osmryAIJOutkI/P5yRScTav2OxE7HX22e1GeAxHs6PHgm2ko8fsLq+XgaR4vs/BL4PnBftn7UpWzelVIljheRgO4Xd+pyGJPXzYsIePj59pLiOvfVO024xSzzkBQV6ROzCBpIgkF60OuXYMdcS9tW/CmmEe9ECtgVCLSZgXJAEJZfREEnhmM/h6Ld0gsMTOUMqUEMcmF8yjPrq8IFIOQxfhHK6qUMIQKkPfOlqhJLSWcRqTBSmxrWnXOdOghUcz9xqrBCZUdLKC1BQM8hnSe7QrMDpkkvYQeHpFRmBrCh3jlERaR2A8qBonBZHNEd5Ru4RS+UsbS7xYEM2gSQD14veTkGggIiRd6A9ZamYEj/ERpqQpZFmMFJpAaWpnaElHsH+bSHa4qO8znRwzqh+y041Y047TcU5WS76zvcPxZEok4Lh3znf2O03D13nO5xVpqIi0wnvPg4s5u92EUGk+Hj9ECkUgY6y/CrYvkp34rPCiYP+8XcmXvTm9SgQrPI0HD+C3fgv+5b9skkBVQVk+tRNYksKIIlQYMBm0uHejz5vyBDHLmFWwMwMrPbnSDIMOeRDzwdZ3ESKhFAJ0D0jJX2Zn/mQSWC6Mn5UMGi9EFBaJR0rwXtMnIw47KK2wVUjHeZybs2YuqGvI1vbpeQm+ZBi0WBcZe87QzkYoWzF3mixoU+OI65LePCOwlpvTE6QXbMwu+GjjFnFZoHSBtjVJLSmkwgYRa9mYLE6wCLyWrBUT5nGXUiusksT1nKCuyInIVAgyaMZbxdK3QJAnzUBuQuOBIFDIxdxQo4lq0cxwWCQVzm4gZYUSMdY2hLT1TkqgerxzfkKsHXfSbXpJh9P5CRu9FhMXkArP+6cPWEsGbLW22eunXBTH9JIUu8hNO72Eh8OM02lJVhl6SUBe12RVTV4KnG+mqiJdUXfMU3aXeEFt3SdaW34avCjYL8dWn7Ur+TJjlQhWuIJzTTnon/9zeOutRjNoNnsmP+B63K2doYhjHqmcN9Yi7gnPPPCUIuRwrvBymyLY5cPBr5MpzSRpgXfU0Q5N2SNczMhD9WlLtY1b41UyWE4IOQFlUw5KsQRAVxi6RMhAktQ1N+2IkzrECE1c1uyXJa4zIigNUV3ytmhjE8/cBazZjO78gnPdZlzPccYR2CbJpHVJ4Dy9cooS0M9GbM6GBNQE1nHY2cSrmCy0dExJrSM6tiQ1BUqCqufkIkb7itDNGWTnlHT5ebJHoZeS1YvdUlI3Dew6hkiDqKlRRAtp6hBDgUKjkEyAAGc9Unq0rjHeoomoasM7B2cU7oSpSIijQwZtyaxUnNzP+fC0IgpKIh3R2bnF4cjgnMLKRUAVupkOElBbS1lXCOG5yAo491zkjlg35x2Mcwpj6AYF+2uKOFBIJRcSFPknWlt+Wrwo2EshP5ddyb9vWCWCFRrM5w0n4C//Ev7wD5vb8/NnJoHlvsADdRww7kUcdB2HaxpX1lxEIffWv00hI+qdPbwv0DbCyozTzj7zcAdkQrO+XzpvNR/E0PCccs8zsFxALsfvl0kAC1KhkpotBKaQaO9ZSyBsr9PphJjMErUzbo0nhD7jEQHnaAYnZxgdcL/VJ6gdd7MLhjagtoacgMFsjCpKnHWM2n2iOqdbl0ziFuO0Qyub4aWk1AHTsIOsa87THtLWRLZCCujlU6SEVjUnSzqkOISrbNdoAAAgAElEQVR0JDpkpGMOdR+nHImt8C6kVKoZVQ0M5CEkwcLYbA5IImFZso4LEsQiHWiRgNdYG9BNHFJJTB1jcEyqIePpBOtrOkHAemo4Ghousim1S5nnIfMiIg1KTqdzutEFvzgJeH07XQTUJnC/8fCUP3rnF8zqCYGC02zAWrTB17bXcGLMwWhOIBX7nU20lJcyE8ALJSh+FXxSsH9yV/JlTwKwSgQrQMMS/v3fb+wl792DN99sTGWekwRKpfChJpeSmoq8nFNWgj9dS3iYJnzU+xZp5ZhHbaRrc9y6TWxyrGyhnCYoMur0OlFsWeNZ1MQRkIjHk8Gzdgp2+fhyimbxGnhiYjZTwTeYcUGNkwnzzja+FbOuPVvacqa7/MZ6zemwZmBKDkWILWqCusToLrcCQ1J6dCg5Crt88+xn9MZTauvo5TN+sP8tXBIyDRK08zjgzviIA7/NUWuAEh4TJghvKYKYfjbFaoWWqslVTlAKjXTQz+aoTkxGSBkKbKWoVNw0joUG40EvdgW5BzKIHYiIioDrdpcejyVC+RrBGtbDMFt+1A2RqpgVktp0qU2Br88ZPZgSqF10bpnoOToIqKsOtZM8HE3J7JDMn3BWbLIWbbDX20RLOJofk9UzIAAHx5MxsquYl21uD3ahVRAFGo8gDBR5ZbELG0/nPVKKZsUuFc74SwmKXxWfFOw/6+b0v+9YJYIvM5xrRkF/53fgn/2zxlTm6KgRjiuKp07PtcZ3WpSDAWfKMso8MwyHPU+mh3QmHaoE9qeGWqWctDtkcQfoU+hGjMxUO3idcqnDf4lF0XkRJAoEccLTenGXWI5Wcu2EZlUcAls9yXdutxmXEVEhmVaNdFDuKmRnnbBbYycTPqxbiGJIaR1SK1raEVUF7bIgnk/oVUNCX2NbPXpU1N0uEx0xrgeYOOTO8IjD3jZj4Tlt95nECQGOfjGmDmKkrZkkXQohqIMAJwTCegbVmFpEbEzPGcddvLRcVCGFrjHGo1yOC6LFr2aa37FYJLrEQeWgsJCYRZNYkpAAihxw9BELSeqcggRHY3lZUdqcMquJggBrA1JjOKk7bK+tkWcemSsq7zE2oHQjAu15LWmz3bpBOxT8wS9+yN/+9f8c5wSjeUU7dTy6yEBAPXPcXm+x3g6wXmCcRFrPTi/G2GZiyluPF1DUBYfTU6TyOCtYT7dQosVnhVWwf3msEsGXEc41Y6DvvQd//MdNT+DgoDGZz/PLYOwAu9CHcesDjJSYXpuL0PNB3KOVH5EJy0QpDtobhLWnDCqKCM4ShVEtPCGCKXmgSIo9fBCBK2ERtBpcq/GENSXXXb6e9QssxKuVacxNFs8NF/5mIRUdZziddMis5OaaJigs5zOPdI5oPqLMarb6XczEo7b78GjEPGrzXhixMR/Ry6fMAs2DoM1gPuYbBx+zlo046KyTqBhqS1tJzvo7rOdzqjSgl01xKFRdEkQJYTUnNhVlmDCYj6mCkFY+owwifu3kHpUMyMOILDzmtD9AuBLT26DlSkoDKrAgF0mAhdy1KBc7JU3DFfBoHBrJ0u4yoEabRi4abUgWU0bNBqsgwYKz1HUXgaGkhXUtoiKhtOsUTDGVxrgSFUSEuuRm/3WG5TGzozGzas5GC35j97vUznAyv8/pvI33ikAE1G5COw64vdZmuxtzPC2YFzUXWU0n1vzw4wsGqeZwdowSmlgGeGpKd4yjt1If/QKwese/bMjzRiPoj/+4KQG9+WbDE6iq5mtRDrruHVCnMeV6h1moODdj3gsKTqkYxPDhmuDnO5bQeKSR/Hw7op+dUoq7KLeP8F0wUxI/ByWa0o9KeSzCLwm0qtHV+SSOgMawrgXWGuY+JkfSaIYaNIK2TtnoBJycntDeTtA6wNgYXEVnOsLWMXlecXdrA6zEpjuos1OyckyQ1cSuQrmaMlljd3xGWxjS6ZRJ2mJQjRAtySyN6fVSipMxN4ZHUOXU7Q3mYURiar519CGnvXUKGaK9Zb2Y0JoWbE/OeWf7NomtSGyFCQN2ZhN69Qyv4D0qJt0eszggdDUx4JBU2GZySFboSGEQi/+liGbHkLAUwNO1BLWQzUCADSjVFbmsOdfg3AwpQgq2CPDMCkfpQwJ6KG2xtSEQMXFQcDDK+OjignYkSaOY0S780Qc/I6sThtMOndhgnKMVKYqyxyANMN4zzBonurNpxVY3ZFSUREoyKWu09kRK00st5/kZR9mM6Fyu1Ee/AKwSwZcJxjTKob/7u/Anf9IkgNmsGQ3V+jIJXA6JKokPNKUS5KbgLA44tFPeiD3v7gyY3rWsZ46onlPJiJ/d2sCpPUZJh+1JSKaBsA3BOqCoFQT2OtGJJ2r/S3XRZ0OS4MiJ0EhpUTKlFiGqVmgF8zrDIihcycGsQLiKrt6gldScTKe4eUU/SlFJm7Y9w0+P6euQuY4hHmCqGh1A7QV7xQQ/EfTKjLCek8cJ52tbJOWYsWvj4xQ5HLE7PQWgX865fXaAFYJSa7YmI74yPOA87rA7XUfZmn6ZYYD9ydmlJX2vnHPr9CGxrZhHmjxUHKouhRgQ+orItyiVYq5jykQhSAidRciKeiFG17xvC/E6JARLP4MaCKGyuETTCH8neAyCdnNMeLyPSKRrNhB4rFoQvESOczHTueMnk4w0qQjlGqnq84dvGO7u1dxZi9nvrRMFis22JooMbR2jpOJo3ExFRUiML3nz+BDrLe0ooBOsobWiMjWn83O0Eiv10S8Qq0TwZcFwCP/6X8Nv/3azC3jw4PFm8DWimAW8EphWjI0jbF1TmZKPZcbDpOIHt/c46IzJ4i7Cb4BLGHa6CFJ6eYiuuxy31iHYXcy/B4AmsB6jTeNgZeF6BehKd3+JK85CiCdCUQKCBDSopBHeHMhGMHRYzNEYPBKlNGVdcCMNsSpHyxbaC251Jbe0xElHe6PPVw7fRs0l75FwVnq0V/QiDYScs0HiLK3cEIxHTFspowCO4338rCbWMXtnD1ibnqOLEtlpk0qIbcbDZJtHQczm5Jz1asZrj44YRh2KICALEr51eg+sJcIzCVsoKShUzM/2X2ci24hcctvOOEpDnJYUPqGfjZjYPkpWCAwmbSEJ8RR4QliMj16NT5nmDXYGmAMFjTW4oWBKSIxCI3yIBUa+JpIOp2OMUVjrkKIDwiDp4nzBXm8LZ9vMy4TzasJ5MeVofUxdKzb1GmnSVB13u9sEUpFXBbOqJq9K3jp6CF7TiiOy3JElZ/z63j6PJoeUfkpPdVfqo18gVongrzqcawL/P/yH8Gd/1vQCntEIvjw9STBKUUSCIlQU0uE1/GIr5mftOR/Ft7DqLqmrOEwjajySLSQ7CBKmiadDD9jmajR0kWSkQLvg6uHHsJz4WRiZ4PBIJIZtJFBRRgkygMpArEELiCOYFhDXkiD15FkJJqJAonobJAEIkxIENfXogl/UkjU0Yag5ngvi179FNJ4TjQ8IqimlDuh6g9SarUGXrFfjjWOYtplEaxRac2cyJsgM6WxEbA272TmnrkI4w5vbr3PRXqNfTCE7Y+v8nL3ZGW9svY7C4oRCeMssbqGLOVkQ8msXD7BS8WO+QYBiIzf0igKjWtReM0sVRiVEBmJnqT3UxMhUIHFN2YjFJBFLMbwKqJtsmUhCNBWKJC8gBiliHMGCGFbgvEYFNcJnlKbxOlDKkQQKYzXKO+oq5SIvsSajMCXf7O7RD0NyMeHe+YhBcptvbt/gN29tESjJ4WTGaX7AMD/hg4shyq/xzd0N8CFZ7RBC872bX+PeSC/UR+MVwesLwioR/FVGnsOPfgT/4B80JaE8f2ok9Lr6fRlFmE7KpBORRTDTjlk24Sc3En62GZHZDcbhgDxoMZMtevldhklFE1oHSDokBDSRPr72U/Szxz+fwlIWoYVmTgSEOCQ1RiuCuAl3gzgiVoI40szyGarOEWWJdwZNTTuURJ0UoZukkZczoumcQnY5H5fMYoPQipO1u4S1ZmAdhfFUSZuv2hkToYgsyP4a03pKtX0LO5sgFdQq4v3trzAoppxtar5//01eGx5hu5Yf7X6N+/0dBtWMWFhyHXHUWSMLIw7bA2JnqKTkF4NbDIoJobOs50OmSZtchUS2Ip1kZHGLszTFlpa1eso4WuP/Z+9NfmW5rzy/z2+IOXK+8/QmkiJFDcWW1NVllBu9MdC7Xrb3Bvrv8KrRvWnAgAvoRXvjlRf2xugBLpcNlGtQlcSSSsWZ4vDGO98cIzOm3+BFvPdIsagWpRJr5AEe3s3IyLxx740833O+Z/iGlKS2ZeMVoZT4eol0LYW2iDjDo+ic/wCw9FkCS5ZiAsQoapLWQWyRIkZgUDisqAiDCNtKGtsSyaBbwuct3glqIyhdSx63nM0E+BylSvpxTdlUzOaCe/tDRlnJi1u7pFHEYtOiJLR+yqpaEpADBefrK9xFwXY+5IWtMdt5wtmi4XLe56a8YZSuORol3BkffUUL/TXbV0Dw982c6zj/uu60hP/9v+/AYL3+S6d+VkPAZDHTcco89jycRFzYJY/Gjj98YUy4Lum3mnm0zyzu04QDYEzEAPG8dfGp4Hriv9hA2M/YJ9TQGMh1hvIllVVstMKJgHEARQWls1Q4tpSAZk0vkiTlhrnz5DREkWZLVZz0J3iR0UwvUEGEEwnhwGCaiqqfc13AHWsJm5pxBO+6lHmiyb1he2uIXS2IiyXJU635KSEjaZn3hrSbFWWaM3YNKZavbaaclitsNWPYVkjnuEpGTKMB1/GA0+EO2nvyaoPylnvTxxwvLjjrjSmDCOE8k82aVZhwMLvibX2LLbcmaGtCL3g4PmYTRLTGE9s1k6ag8AGoHh4JT4kzaAnLliBpKJ6j7wooEWqDFwGOCKiI8Fhf01oNcoU10PgaAKUCpPBY29Uj7m7tIEXK+WJDHva4WBnC9QwZXeNXsIoSRuklW3bJ3uCYi0UAwjDKJVIo6oeCUFqy2CCF53TecrpYM9s0TNKEcXrEpmmJREqk4s/eHF/Zl2xfAcHfJ5vNOqf/1ludcMzrr3cDYp+jJfxpP91I8FHAdeJYyZorBH8aRbyf9XlnckihE6YTyWizB+IWreqhXIT0GYIeXU7xrNfnaafKszvrmdzuc+vqBZ9cwadF2mNCBAhoBIx0Qp5JGhmxqKF1MEwhNI5MOa6LksRr1pWl17Z4UnIkgdhGlAv03DDKVrxbzNgow9o0tCYkrhvsCloB1cbSU56dXFEScBRqRnlEOxoTvf4DBpMx11WLkBLROKLRhLumYRA5kvmMJJC0cYwcjckGOfumpAwi1lHKI5/SL6bc3zpBPs0GpLWYIMR7icIxrFaUKsRJwfHsjOtsyE3ap1+VHAZrSEIeZD3SZoV0FtE2FGnGfnnGTbDP2hoqHKFuGPqI0pY0SULDLoKGiALNNaWOCU2IpcXyMR5J7cYgt/BOgm/xdCu0cTmKCoiIA0WWZASBwzGndkt8M0RXhiYUrNhg1w27ruZsPmfdaHQ45ZWtb7GdR5xfbLhcrahMQRpBpAYc9fcp6g0f3TyktoIs1Oxk24Q6wDponUV6/0tP/RpraawhVPq5VvJX9sXsKyD4+2DP6gC/8zsdCMxm3fHFopsX0BrXtp9QQECjoFXwaCwJZYgUmmUo+d1bhvvbh/xhf8Za5zhpCc0tHGuW6Q79sk9gB3TLz7oun4Rngu+f6vhRdE0rn9KCf94PD3zCFZXPHws6Gd/yKTaYNECEikBK+qFnK4VdZwijmMoLosrQLGBWlxhSNJo40FDMiPohaxWyy4qdZclFqKntCteAjIcQJhxvSUJvuYgy7KHgcFNyEEIUgj+5RfXhT6nw3AlX3AjJdqQpj044fO8naFuShC3twRb17BFKCXYW17h0iOkHTGXAbjEjtA29Zs06TIlcTRVFTIoZF70RO+WMXrPhtfP3sVJynQzRzrK3niKsY72zw2W4Qy4tyzDHNxXjekFUNXgVIr1lkDcshaAxPRaARJBRI2gRGBx1V+x1kgpFhEJxhKeklk/B27egDcLEaKExKBoLiIZAB4RSs64rHsxvKJsNEQt2g4Q0UWylGUKErDdLNvPH7I/uYB08Xj5kbxhQtKdcFitaH1I7gfEzlkZTOkse30HWErznbHXJJNnD+IaHi0s87pfSCphtCt48e0TjLKFUfGP/mFGaf+GP0D90+woI/q6acx3nf3PTOf9/9+/g448759803fNadzKSQkCgwFiMFMx2Bryx7ajLAosj8PCk3+OmF/BGqpnJnFp6nOyjbUTnXlJglzLp8wn/r0me7wn6jE7ZM4XFn7Hudc8k35WAMEoom07T3VGiVYKWMEi6gapQx8SBxcq6W4VhWmRaEqVDdtKQR5uaYZsQJgHWFLRas2vWvHrrkI3UFPM13z3I+NgGWNNwdr0h3N8mSTL2epqr2ZpsnBOsz3ARPDQgRvvci2MOtnI+vp5zUztEEPLfjhVXkwgOd2l+esGWrTmKHGJrRNl46OVIC73FnGS1JHaG+9mEcbuhVBojFGldcbC45nB5jTItO6sbAmfxUrC3usYoRa8paZXmsYT3sx3i5YbRdsyANYmqqSpDoSX9zYwb1gz0GNeKpwuqQ0IpiNw1pq1YBiEbEnAJ0FJzBURIA8rOyKPHLLgHVgAZxrZ0RKElkDGRblgbz+z6nHW9RRamgGVRTil8D+tDxlGL8UtWjedHp3O+7vfQQYWzhzjb42iU0tjHFJseD24KjHW8vJdzMs45ndVcrGoa23BrBE5MkYTd1LMzX6iV1FjLm2ePCJWmn6RUTcObZ4/4rdsvfZUZfEH7Cgj+rpkx3R6gH/2oE4t5RgM9eYJJE9pNAVIRNC2+18MIQekNBCGzScosgjd7FT84gqoRjFca7UZc9wzzzHJ/eIJ322BjQvaACctEP913PwF6yOfbLp9NgsHntAF9Jhv4xIYp3N7uI5xlWq65WnW45X2CFBDITgErCC1FJdnOUup5zXDUQ5WGLVExu3rSDYQFMB8p0jjGiT6bpmXH5ggd0dSeUVWDKDkejPE+5JthxXtZRBBrDhLNYZTyjqvIRgPczZp+apmvzpC+onrlZQ7vPyK+eELQVNQvvsy96ycMz/6cqTnH392lnBp0MeaigkxrXopjSmM5LT1biyWX/TG9Zk0uQ6yUDOo1w6bAKcm7e3fZRAmNjrricdvgEWgpiW3LwfKa4+tzvnHxMT/8xndZJwl1G3JY3ue94Ta1Ctg+t+QDRZ1IGkooG5S3qNRTBAGKFEONJsMQA0No1zjtQA/Z4AgoaX2AEA3erwCNCizDeIjWIfNyhfURgpqqiTDeYIKMsatxjWbuVqyiAN1YrA9Y1y3vnV8Ryhh8gDMxRWWRcslWf8BLBxGVm7Ju54hgRa9X4b1nkt/i/auGWGukqNnuhVj/i7UCGmtonKWfdMvs4jCkWNc01nwFBF/QvgKCv+1mTNfuqVRH+fyn/9QNgz140D3XNHB5SblcYjZLZGtw1uEEOFPTJJKzvTHv7IZ8/8jxY33B+LqiDAPqdIePeiGDZkyrzrjphdT6BGNzlvldPBmaQzSKAA/06CZ/PZ84/k/v/PlFViKAYZYQYLmuLc7BOIHSwLqrU3IyCXntTo4QjseXmnEMaQ/qKCWIao5mN7waLJH5LnaY82BeU1lJ2xgaB6vxmNW85iAWhA3UWzk2Vsja088m3BkEJFoQargQKePLC5gWJKHmWg1Jg4r19Qx99xarF3PU8W3ExQX5YsEr1Ky//TXsdUbgBBjP2WsjmvOWsQqRNzckgSJOEx6OtzEtBLXhe+fvolpLUm+YVCtuemOCtuGiv8XOaso6iMmaEiM0pdDoQCOR7JYLRuWS1974IWWvx0Z4JlxAKmlcxtvJkGXrCJtLJiEssiG1C7CsSZOEolJEnk4PGQmMwPWesngzWkATABuSRGDdBi8SEq1RQU3RbGhNjjUOpQ2tmYKQlL5Gjnu44ByilLv9lKaJwdW8f2ZJQ8f57JzDwRYtM1btnEEwZhDukgSSYn3Dw+VDsiAjC2L64Yj3Ls/RShKobi/S6WLDTl/+wlbSUGlCqaiahjgMqZqGUCpC9ZV7+6L21W/qb7NdXsLv/m5X8K3rbjXE6WkXPlvbAUNVYZzDKo8znWSh9VBkmvlWwix1/P5wzutb8MEooqwNj3fhSbaHYEhInzvXA3rVmF5VsdI7lHGAYICmh6DPs2VuyefeLuozX4d8wvvHdINMAI5cS5SEsoX78zVaKIwRxKEnkrA9gXUDQjreeVJwPB4wzAKGWUjODWHsyHTClkw5ymJ2v/Ei+yvL7SeXvH5jIJYkYYDJUyqX0M8jpBKsTEPSGE76Ab1hj/Vkn1BrxnmI+eAhJlQspCIMIsx8jtrro5cNxbokiGKOdgc0WUBTbhEGO8zkmry8zeqdN/HrDV4p4qNDzHSKU4K5kpzv7BLO5txZbrirDR/fvoU4P2cWKkJhaKRit5hy0Z8QekujFMJ7tDMcr67QeITzeCGYJz0m1YbTrMeoWiO0pG9L1o3E9I+J7ArlBaPNGpFnRCxZUVD7gJU6IDABjg2Q0m0JfaZ9HAMFjhUisEwGkKoBl8UKXEgWVZR1QD8BScqyngIevCGUEcLHlDbBuxYHhDrieuXQQtKLM66XgqvFDf1U4Ot9ppViEJW8c7oizwTWeSbRHps2YLURnC2XfHvvgMLMcDS0FnazW514jfv54jVadTWBN88eUazr5zWCr7KBL25fAcHfJjMGNpvu6+US/vW/7qaB1+sOCJIEd7CP7fVQDx4gi4JGa2osrXQ4FGU/ZSkq3j1K2QwFPz7K+cDlPM4GlKWnYcl1BpJ7CPoMyopplrMMj8HnGL1HmUTEDAkAg0Qj+Fnd3M9+GJ8V8wyCDf758xs+mQ0weDxxFGNaaC1EsSCPQnrSUHsHjScPI9Z1TWUMG1txbytDqR1eeOkl1qcfUNcVWlh2732dMIrJVite9iX2cMCj9YqLVYGYrUh3T8iyGJ/FVD5BxoplKNnrh5zsDHiyqDifV7TGkefbXF2suF9UYD0HImdyqDBKsWlqmiAgONxnsJgipyvCswuEFwziMWYsydqSWEju12vWkUBULf1Y0+zvIdbvc5Nu0RAQximB9TgdsV0tEd6jnKURChw0svs/cp3gjUNwUFyjrWUdhkxtnyLPeDh6AdNWGNOyPz+nTRKCumEV9ElHG47kmgs2rPJblEtDjWL9PHMrIXJP5Zw7wHcYhKxZl9CGJV494WCYk0YHLMoK58csNtC2GRATaINWFfPmikhpdvNjhKk4Lx+xLEcc5z180yNRcFlM2eo7wiAhDlquNzN68RayGbJcK97cnPHS1m1UYEmUYl7C4Wgf5zwChRYRD24KWmsJlGJ/mH6ueM0ozfmt2y/9jXcNOdet0v51Kq79ddhXQPA3ac8KvptNVwj9oz/qon7v4ewMvv/9DgTCEFYryuUSZ2rqO8co7VDOUq8LZqplmTs2keLNA8+7A8XDnZCPtw0OQd2mPEprFHvAN1GkSMaop62cja5olSXwe50eOtlT3Vv99Ab59G3y6Zv7mYJMCXgCtUGJBmOGT2eJP9kqGtCJj6wbSGXXmXM4zljMi26dhdWE0uPrmiwHpOimh1VJHK8x4Yje7W9yK1Hc6gWENzeI1QK5qXDDPnW7QUnB4TBDVBsKVbCqY3b3tkhuZrzUk1zWnnZrm1lp0FLSCEkcSC4qGO3ehotLtiPYSkKGJ4fMreDlTJNEAc45bBIQ3Dwi8TFvFSXXdYgf3eLuasnk7dc5rEsubk2IVhue1EuszygdXBhFXK7ozacMV3MeTfbYO52yCRLuLi6Zxn2sFNwEATvFnEZ3xZWzbEwrBcJ11E5UlJzGY0oCHo6OKesVESGTdsNeU3PJlMorYq6puMXNXFC7NSUhId17pBjW0mLp9I49FmjwbsW0mTGWAxpf8WA2JAsNq3JMXdd0LWAJoGlNQSvWhLJmtzdChdccT47QM6AasmwaqnaDEA3WCXbzLTKlkMGCB7NzhOsRiDFYzf3FGb3wmkArDgYTPr45o7CKVGte3j3kg8sp0+qaIPDgJLXd4aWd8c/NDP4ms4BOca36tSuu/XXYV0DwN2XPpn5/7/e6vT/373daANvbYAxOK9rlEqe6vnqUxOPZSKjnV4i25nJbsxzvsqBhXTfcj2M+7uW8vfcKjY6xFlb+lE0aojlE0EezBzQoBnScvySwLVZZcAEk5ikIKD7d39+Z5ZPBJegAoCXGEEae1lu0sDi7QfoEhyEgJNQJtSnx3oPxxDnsDFKGkWYFtAZGscJ5S7tekQUCJ2Mm/ZBJX7E/UnzvZEgUhFjnuVzVuGiAnJ0xTDSXD89x0nNVpgwCQygDBlnXmxQmEfmdQ+bec100qLWjn2pUoCjqhjfqkENfkYSSkxf2KdIBOwcjtNZsW4utKurzcySevVjC/j6z3duo2Yqj2RQ1X7AabrP+8D0yEbN4XDBN+vTPzqlGe7i1o9El2+WcbbtBmYrd6Tkv3TwiNi1WSh73dtDCEZoWJyVn2aTbK+oNUWupdMh5MmAepchqQylC+tMlkRAga1oliesVxyIgmQbc377NtBpSxAqTpAReYitDxAKFQkiNEgqPwXkLKuikMK1iXq/IwzG19VxvHhCpW3Q7ijxQ0NUZYoSPUVZQVJ6dXPP1vR2ySFObmg8u51hbYWwnEDNdORAhqUpZrkacqZirRUOmGx4uJO8+uUJLSKOf8u2jE147OcJj+MH9j3n/fEMaRewOYnZ7ivPigjtbAyKpcd5hnUUIgf8l5w5+3ZG7c/5LU1z767CvgODLtGdcvlIgn96gz+ift96C//gfuzoAwIMHGBytABdK2scPaX1FUxSw6m700DuucsfFSY+bnQNeD+d4N8ZZuBE9LmXNE3nCYriNpkCbhrX+HjBCo1CECDI0GvO046dMBEmp0UZC0JUOn0KC4AYAACAASURBVK0z7qzTJlB0iwo8MbGoqYHS+27/fuDQ2mOMwQuJF4IkbGiaAOFrnPHkCHIFB32N1AF5GLA3SmG9pkKQB5q4rHgSKnwoiARs2Q1FmXM4TMiTCLzgbF6gjCG4vsIlMRdI2N2jfOM9RARBECMnfRyScRKy2BjqwDPpBdwaR3x8UxKGndSilhIZhsSTIRrPzELRWl4MA1Iszekp5f0H7Gea6M5tZBDQvvUxplEor4hvbsA51HiLS5mSmClu40lvnuCN5bZb4Jsld69O2SiNrRuM1OyupqSmoYN2gZCeuO2G/qSzrMIIA2RNVz0PTbczyIpOqD5sahAtUkvWQURYVoQrw+3rC97TMUO14FBJQi+5YIjqhQglQRnq1nRrO8SS1kHrKjKd0fiE2iiy8AZjBAiLawSVWDy9D7JP3RsR3oiOejMrlrWnsobbo2P+v/f+GI9GiwZDwnyz5sMrz+5Q8PappjEhTxaXSBGxqSO8a5jkIVZB0SgezJ9wUUyw1vDOxWMuVpCVIUU1wNmcYW7BO8q25HR1yrpdc72+ZivdIguzLzR38GVE7tZ7nPfPMxKtJLUxvzbFtS/bvgKCX6c1zSdUDnQR/jMgODjosoA//dNOCeytt3DzGW0Y4rzHtzUb6biaPqCKJQNfcbEbE502LIIRmxguJ4qLY8kH30zI1zUfmR7rNKdfhcybAzbeME/uABbDCKcq0ueRv6IhxCJxSBIUDWDxuETj8ahny+HQfJoCCoBe1GHZupQolZALSN2SWmqSSNLPDK2LQDRczC2BUFihSIXAeuhJSAPBURQyVYptGm5vZbw4jrGzGUPhmF3AKyd7PNgssW6Ncg13t4+4Oz5BCkldFKw+ekC1LvE3U8T+PksUJ4MB0e4txj1YWEHsBddXip1bECtPHBjeuzinn8DlyvDC9gnb/QEPp5btfkzrBUYIVk3LMNHEgaS6/5irecn6aoUsJEezPyf++suoszO0D/EiwvT6MJthNxVp0kdOz/BlzbBqu5bQRUWrFdvzM66CFOMF2jQcLC+QzwDWOaTzGKnQzmKkQtqOuGmkRviuYLy3ukEB59kIiyKr1+ja8/XFR5wOd4iWJRfRiOHpFVLHXN3eobKadeuJV5552GCVxWvQShCqhCRUXK7BOkOIpraS1aaHEBGCBkGCN50eaKd/4GlpSYgRsiWLHVIoErmFqcfMfM2syLuWUQJwDVI5kAWP54KihVj1WJQOgcLaCOcLdANxaGltyVURsyprrjaXGBtyMJCULSyqFU/mkpOtHCEEp8tTnIfr1RKk5rpYkoyyXzh38HmR++m85HCYECj5K0fvSgikEBjr0EpirEM+FXX6u2BfAcGvap+N9p88gf/yXzrnrxTcuQOvvQa9HrRt5/wfPMAsZrSjPj5P2Pz0TVa2ZJ4pcmU4D1JM2KfFsxjAf/juDqrcQzmPkFOu1AWBzvFmSO0MN9EWlZhzFSjWpFh1CDIHAjwVVjyb6uomSMPnkb54+hg+cfiCzuU/W0pnUGieyaJbD4kGlfG0119QtH2kL4l0TtvOUVqjleZwFLEpE0IBypRs9xKoYTfvZHcjJZkkirIy9EYZk50Bt3ohxYOHnFWClw62ULahbVp874hUJ1R1y+P3HvDevCHSEQda015cMuttc7fXEsQht3f22RjbyU42G3aKKWermndnN/THPfJ1i6ob7r/1Bvk3fwOQvLLb42bTcr4okR4CpVivK+bLClZL8lATxRHn64KT7/8JMok5ePFrtIuay42BrM9WMUPmEWHaY9Xfwz962M1JbxbI3R2yh++T3TzpqAgpkUp0y4uMQXrP3nrKeTamDjTSeY7WNyx0yDtbd7BKoKznleuPeXF5wZPeNifTJ3w8OWSjI6a9Le7NLsjbEmHW3Igh4mbKi72MQg9ZTWIIPGkQ4VxBlsZYIXA2xNia43GP+aZAiQBF93u0Bop6gFIxla/x1iDp1OA6h9HgneHBdcNOnjGOBYFMeHzlCCRMNyVtU9HYCCECLhcZSWhROGbrNWkcYGxJKBQ3VYEhIK4DgiDh8c2CVb3E09KPt8kDxUxOaWyFdQmaEQ+nay42JWczz0fXJcuNZpi3zIuSky3JyeDnzx18NnI3zvNkVmKsI9TqV84OpOwyi/NFRW3M80zj10U7fdkF6K+A4IvYZ53+atX18UsJUQRbW/Cf/zPu8SNsEqOaBvlnf4bb28XGt1E6QFYVy/kFH04/Yq3BcspoFFBP1zSLhreO9wibCjMMKNKE//vrr/Lj+IZs0YJWNIwwTtKTLyDzkCrYoMsB0tzCsIMNuh7/EIUhQBLhCJAdE/ypH+ZZP/nnmaJrJ2kJZUsUZZSlRAGDFA4GGcYLrlcFoRZsrGcYJdzbDQiDQ8oyoLKeIFyxSTrgCIoEoTphstDDIIBXDzJemURcZClSCbRWuCAgODhg+/ScdVnhpSLaOyTrJ1jvOZ+tCfDs9VNWjeVJMmJ3cc7QNWA0k6N9ZgaME0gLO2aD0CnjoWZxeYX78Ay1N2I8zAn8hr31Dcd3XuC8aHBFw94g5miYYr3nyXSNbQx9a9k62iE8fcz68grbLJEnx8RtzYvbGbenMzANwddfZZkGvOmgKmoubr3MvfUltgrZSxRybxe0Qq7XXSNAWUKSQBzDdErcNJwsLrBSolz3t3qYjTl+mjk4BIsoZ7e64N7sCftS8s3zj/j+7W9RlEsm9ZpSBtRhzL3LxyzKPovK8p0o5bfaNauX7/EH4YByXSF0RCsta6sQ3qF8yL3xXRZVA8zI4gFlXTGIApwocG2Pq6KhahVQgBvQFY4jhBPcrAStO+d/+f4ThEtZtA1FqZACnNsgkSxXMU0qGKRrBJJNGaCCmiiaIYuARRGyUg39tGJvMOF4cIIOVvzwo4qzuaF1KXmQ8O3DO+z2+1RNy48+KtEKTucO6Wuk1IiJ4/6l5Vu74ueOtnw6cpdScL4oCZSgFwc47/9KvH4cKE7G6a/Vaf91FaD/YQLB53H3P+94WeKePMa2DSoIkVFM8//+P2zahiCKSV5+GTmdUj55yIINta3RwODmkvnpe9QDUEKxpTLeLM5YVYqFslzpjEWScPHd73IdZrzdXDA312xFQ3wYsVEKWyfM9A7S9rqQXLas44aRSqi8w7BNF+0/W/gmaJ7uorQ4cu3xpJSmfB7n/yKTCJTsKgPetYyzIeMMXtqP2c23qFtLu9OjaAzWOkIhubebM9u0yFzxaFYwyfbYxAVh4Fgqx61Achgr1GpFk+W8NAoJ93Y4CCIe3myoGov1MB73ebvy4CxaK4Z5jNbdTe+EJAkUiXGkeUAdeLa3Thju7OHjkLHxuKJhkGgWRcmWDdgojWlaQgd3V+eMRoLN1YJNr08iINSCw2GCsY5eHDz/4O4PUmxwRPb2nLCpMUIiX3wBVS9hZxvOz5GTCZGzsL+HyzLmt+5w6+oG+d67mF5CO/gmR6lGf/A+XA674AG6GlEYQpZ1g4JBAEohwxC56Pj4VipCKUha80nTZxBhpcQ8BQohYXs9owr2mMY9VlFG4AyVivjND99Aakmc96imW7TiioPv/DZ/cLnk8bomThT9AIIogBKGfcF8ExHrAU1tmCQps7KmbRbYlaTXXpOSsRAKS0wndCPxXmGFpagMxiVIQqqmxTuFfaqHEDJHuIq6dZwvPZVpwV8SiRllMaGyObHOkaqhtorrVcnpvOLe1hYHo4f8eXFJ2Tgq06MXe4wzlE3LplZYeUHrDMYX+GqCxzGIJxj/Gc2jz9gkD7la1RjraIznZNI5fon4q/P6woN/Kiv6V6wNPKOxlPRo4fGeL60A/Q8PCD7r2A+Puujs845HEeWDD7moplgtUOsW/Sc/4SebKVNa4tmMV3/6E05e/Q7T1TkPyiuutES1Nft1ybb/TXIraaXn44Hjw9snDN5+n8G84LSJ+cOd26zyBh9EzJohcMiMBbEwNJuUyH+DCgPKguqmeZUq8Qakc2gZYl2Af6ZGBXSSLgaJ4u52yvkS4jBhtXkmZljiuiZyFBJLRJcF1AggCyROCXbSkMMdSSq7zTMv7+2zO+jxo/tThBDs5AmjPGS6aqitoJ9GGAsv7Q9YV4Z7u/ucLyqyMQx6MVvDGKUls3VD/3BA5QVN69jOI755NCALNY/nJQfDhFnZ0rSO81XNPzoZddytUridXbbOzjlfbTBeIE4OubU7IlQS6z0v7nSZR9tkXL6zIJCOTAf8swwWsWIhHEpo7jYGITUoRYAg1KqLuOgixSBQHB5tcxn+BuuHD5F1zd72ADm+1e1y6vVgZwdu34bLS2zd4uKE5LVvg/DowQC7XONNAbu7cH3dZQFN0wFCnsPhIRwfwxtvwMVF977GwHr9vG7gpCJ4VjdwnqXUXPVGlEHITTyk1QFh23B/fITyLVZIJuWCWTbghcUFvq1QqxuYT/leWdHuv8Rb6w2Teg27u+i7d7mKc+bLS3rRgBzHbKNYtlOsKDj2IY+0xIqUyG/ot4oZU7ohQQEk4Gpab5EioW6nCK/BlVDnKDaIpEdDQVwLNs+70RLqWlJ7Aa6mcoKglQjhkDLl/s0laRDx4KZkY+Y44Xi4OuP/+Isztvt9sqDHR9MVrx4M2Uodq1JSmpZNa+hHAo2gte45P/8sQm+s49FNwbppwUM/CujFEucsrXV4L/5KvP6zArb19pdamPfzzHrPpi1ZNdc4HBJJL9zC+uTXXoD+hwUEzlE++JCz8oZWCYLKs/+gJnnh5c89Ht2+x+XyHJn30FJT2Rmvn30AvZzRpuJaSH6wuOR6/j4PMnh7c0izSRDCkB/N+CcvH/Py8TE6DPDVEtPrcfraPRIT88GjJ1yfFngvUL6TGZRyQCqH9JQkiktWRUQYhDjjMd7RbfrM6AV9irIgDKF2NU3L0+clEkGkHYMoRwchxyOYtw3eQT8R1G1CGHbrHLyDUAoaJ1lXCU6uyVNLHBj2RpJRMuTuZEQajMnCCOnh6weDbn44lBjjiZTialXjvGCYaP6bF7ZxviOfam/5kw+nbPUidBSShYowCIjjsMthYjgYJqSRprUO5z1ZHJBEGuc868Y8D6o6/hXc4RHbzrI9SMni8Hlk9OkPRpCEnLx8C/vkFFGVPA41B//4n+CX825atzGovV2QEvnsvecb6qpBasXe06Glk8Mt7M4A9VGKjOOOBkxTGI/hhRe6pX5ao548QZYVJozQ//SfYt59D9mTqFUFL74I77/f0Yd1Df1+l3lubXUg0TQdMJyddSBxeoosy79UN9haz3icjVDesQkTElsjcEzzCUjP4fyGUbmiDiJi2+ClRFmLsRYendL//T/gNwdvIYZH1PkAaxzBeI/9o5CHSczdrZS5gGlZcl1kNNWaeANNuyIMckIZopxixgJsD4ipCIhx4B11UwKGEENtHcIv8EJgK4OJ06cZQo5njtALIjWhrkPA4GxNSx/nJTerko9uzsBGPCweMMkTzuYVy3XCB2c3vLDjmeQFkzzknYtTAuVYFAFpHDEtPHl0w0fXOWGgaY0DAcHTesHpfMGPHz/hyU3JRzcVoYo5HCSMe54X9yImeci3Dk6QUvzSvLzzjtPVKVpqEpXQ2pbHyyecDG4TSPUrRfACz83milBp0jChahpuNle8xOiXfq9fZF86EAgh/jnwP9GFAv/Be/9vPvN8BPyvwHeAG+Bfeu/vfxnX4kzLo9kZU5kjpMI7i6nOuFudfO7xW8cnbJxjvbBYLSgLx1Ro6mBA0WgKAqTqU2Rb/FHUwvGInlSU0vMX4Q7JVJAOGpQyDJKAr01e5f96949ZbDY8KnpM0jHrpiTWAdfeINBoqRBCEomURmusN4jQQSMxPkCQogSkOkdKCETG2q3RzhGFAXv9hDAQBCpgkgZYPHLTQF/TCxy1UWz1cySCnvbcXBdc14bYbwjTDClLnNAkMub24IDfvnvIKE+YpCFny5KLZU0eSvpacLGxhBJ6oSDWmlEvoRcHeARHwwQv4NYo583TBd53Gclrt0b04+Avfcg+23VRtobLZY1CoJRkbxD/fP71cyg9mabIe3ehbdnTIec1uDhFWsNeFiB7vecvj81Tjt5YlFbI/BCCpKMLorCL/E9PoSg66ceDg+6Fdd2Bye3b7DWG80VJ/fAR8uQ2e70Q+dEH8OGHnbMfDH52NUgQwHTaOf+m6eiiMOzqBtb+pbpBJSVOCgLr8UKSmJpGafaKKTGWrWJG6lrKMCbmaTfS05+v0iEXpcDVc+5dral1QPCWx9//C+7u7fChECzznB8Sc5lOcC7g9uoBvUWBkhWul2NFwE04Agx1GGLFio3TVEGPRLV433b3p9MoHTAopwTuko3exxlHQglBgXcJIAmSloaSCIdZZxhhgIqN8by+qrmfrkCccZ0k1MZhZEDYFvhVQlE7lmnLdpozVp44tWimjHzM2eOWns+4tztiumzAeQ5HIaUR/N67H7HezHjvdM71co30UCwlW8MjEj9keFtytjoj0rd5crWk3BQkac7xzvAv8fKmbWmamjCM0EGAdZa6rcBqhG5xMuTRzZpmfUUap+yP8l+a2/c4hpmgrATlpkJqxTATeBxffL/XF7MvFQiEEAr4HeC/Ax4DPxRC/J/e+7c/ddr/AMy89y8IIf574N8C//LLuJ7Wey4qR546dKAxteOicuzhPvf4oVBc93ZIplMypzASPrj7DbLrKZau1Wx2ss9Aj1kLi55IdBTQeI9fDXBe4EULXiPdNoNI88rW97hcXyGYcTbbEKsRxpTkoUWqNb0oRBKQJn1ujzQ/vamwrcVrT47maKzop5ossTinUBKqVLCqHMOe5HAInhGTLGBvFBEIzZNpn0hpnixLEqWJQ833bo3Y3Uy53I94e1ry1tmGTVPigoQBcGihX1Q8OF/yymsj8iSgFweE5obo5grpHe8+XqEEvDCIOVt6rto+h+OEo1GC1p0b2urF/Pa9kMY5QimfH/9savvprouybTlfVOwPYvI4+JnhnOCz3SBl2TnpT7fpJsmzN4UoIt7d5uTHP8Y2LSoMkHdf+6QG5FwXhQcBMk27Dq/T067r69k5SdI9LoqOxrl/v+sSc67LEvb2iA8OOJlfYKenqH4P2dvpnH2adtnDBx9012htlw1sbXWDhHXdrRJfrbrW4yjqfo75HGkM0nXVnfAZXYRAeEelArS1SOHZ2SyJpKAOUrwXHKxunrenBggeZGMCbzFOssoyah2wt5py8IM/pW9q7umIH++9xHE+YRhn7K2mtErSCsELAg5m73M9GFHIiPP+Fk/6Fi8URgny+ozQNEyjHotsQNA2nA+2ySvJ7kpj5A1eCvLNmo+27xCZDeNyjWpnrJIM7zzLVFMFYJUktAbplqTmCbErEa6bJ1lGCbkO8XKKk4beyLDfC9mqlmw/nlMpx4dtn4vRDo/T32f5rVsIH4CzqF5EMRxw+XBB8ugj4ivL8dpikSR2SZl/wPLOFuVZzsOvv8L0yZoPf/CHYFrQAa/81j/ju9989XnwMbu54u03foIxLVoHfP2b38Z5z/t/9Dp6OkOLAPojWt1QjHYoREh9+xVeOj74pTIDJRWZtQxuzlFeYoXD7G1/KXrOX3ZG8I+BD7z3HwEIIf434F8AnwaCfwH8j0+//t+B/1kIIbz3/td+NUrjtncQiznCGAQOt70DOv7c414FTMZHrLKIlWlABHw7PeCdsw95eHmfftVwPByzEw8YbgcQNFi5xhsYx2O+c/Qqd0ZjAqVZlQZjHbe3Rry4M+KgN+Od5AzjV9R1QhJIdrIj9ocJUgYUVdfjrtQlQki0ACEUcaj52kHOrKiJ9YbtScAg0pxPI7JIsaq6YvHuIOHV/R5pFPDB1ZrtNGDWtDy+KQm05LXDAfbREqNjvhVE5KGmLqbcX8GkpzgYjnl1ktLUBVJ0fwot4aicc640pRdk5RmplrhoxF5giUXF8SAm+kzko7VE/9xOpU/sWddFZSzCQx53qxZ+7nDOUyeO1p2z/jwn7hzMZsi7d5FSPn/McNid88w5PwOPIOics7U/20gA3fpvrbs9UKtV57Ank64GcH6OvHMHOeh3556ddf/fvdt9L++799W6A4fBAL72NXj77a7m8NZbXbZhbTdwqFT3mqca0xrP7nrKRTYmbUpm8YBxtSTxDipQ3gKCg9U1qamfX3LzNJOQreO61+kmK9tNLV9nI4aLCxJn2N7MkXiKdkNgDYKQOgyR3iOER3rI25KT2Tl5XWKEp4gzotaSmIowN9xeXtKvCi7nAx4O9tDeETjPZDkjtIblZob2Bi8UgRC8MDsnbhsusyWX+RYARkqslPTLJV4olLAEriGxCqU9ItWgJOLRhr2dDSNnOXct8yIiGAgGRYFQEfdff5vRyS5REhMd79FMpwzffp2NiggLKERC5FqkE6TzFfa6Qd1+kdWP/4wHbchomJGkW5Sbgjf++Pd59YU7ZFmGaVvefuMnRGFEfzig3lS8+eev461jz2g2wx7ruubRO2/xnZdeJu1PsE3L9UfvcGd/myj8r5Wxf9akh/2V50JJWi1QRrK/6v4Wv+4ZtS8bCA6BR596/Bj4zZ93jvfeCCEWwAS4/vRJQoh/BfwrgJOTk1/pYgKp2N064SaJkL7FiYDdbJdUh597PFaaNEjoRccI4bEOrC057k94vP8SRTNDeoizhH9+EPPT8ynzqkYIyQvbu9wdj4l02BUgnw6riNqgpOJoNGS+hn58xG4/4qfXG6arlkkeIQS8dhLzvTsTfvPOiHfPC9ZVSxop1lUXWWcR/MbxDnms2e3HPEorDgcxUgkezzYoIRlmCc57jkZdJJ0mIVtpjBQCJwVKa/7RKOS0ChiGoIaa0XWNTFL2+iFBGODalvAZJltLLDwnk4y2agj6ugOoVOF1hF2vn66r/tVNSkGsFerpUM5/dTjnizjxz54DXWT/7Bylun9t272+bT859nnfS+tPzu0u+Ged/P/f3r3H2HHdBRz//uZ1X/v09Xr9WK+dqGloHJsElpTQqio0QFqhRARCHxIUFQkhlZcEUimVUAWKSoVUAgSEIqgqVVEQtFQU0cp9BQpVqOOUKI3rpritGzterx/rvbt7975m5scfZ+5mvd5dr9de7t29v4+0unPnnpk5Pr73/OacmXNmdNS1GqpV99muXW67w4fd+5ER9yyJatUtDw257S5dcoHA89xF4/bxFxbcX7PJcNykvzJF0/MI0rOIJ4u3m7a7kLxl5d9uSTT8kNRz02aLuuksamGEeh5RmhImMX6aMFyfY7owQCOMKC/MU65VqORLLAQ5RqrTjM6/ypnWKKfKY4RxSkTMeGWKOAjwVSnX50mCgHzzLALsnL9C5KV8f3Av5cYsh179Lnurl5gP88zkB4nSBn7aoq/Z4HR5Hy0/R19jjv64Bp7PrnoF31fO50KuhCUGdYEdqVJqzFFohQRxQn8Y4vlF/NIA/bNz5MWjFQt9Xot8kKOWKJEKb25O8i1/iEJllh8MjCF4EATsrZxlf01IvTsoJQFXGg2i/Kgrv3wfWpmjWZunVCrRbDaI4xYDQ4MA5Ip5ZqanSZOYcr5IKT/MQL3GxeAKnhdBkqBRhFbdQ5W4gUBAklDwIsZHbidJEzeFRnVh5ZOUm7TZgWCluLW8plhPGlT1SeBJgImJiQ3VNp4nHCwPkfOjq2YzDAJv1fXt7opUwRPhyNgQU5U6LYRwvshgIWB8R4ndQ0Wmxvcwt9CgkAvZM1RithZTbbjBJXuGXEWUJG6uHIAfu71MIB65yGe4v8hUpQ6q5MKAI/uHGCpGvPH2HPfsL1NtxlRq7s6Ii5UGg6WQWjNlMB8h+BwZG2JmoUWqyq6+AgjUWgmeCAfKpcU7a666k6L/AN7kJON+jEYeF/pH2ZdcptJywabRbHH3SJEgl1V6WQXpxTG5XMienHC+4borvFaL3f05vPDmv1LrHpyznkr8emk8z3UnnTvnKvN299LyH1p7mzS9ej9p6irwXM4tFwqwZ4+7oLxvnxtg2Gq5z/budenuussdb8cO18qIIrjnHtd9dOmSCwxh6P4qFbft8DC0WgSTkwQXL7pbT5cMD2l3IS3XbklMlso0vAgCj9H5ywSeRzHVxeCxp3qZOAi4UBym0KwxNjPFwZlJ8nGTludTDyKmC4PgwW1XzvEj575N4nlM5wbAF0YWZrhcGEREGbwwy53Tr6AKp8r7afk+icLB700inhD7Hn2tOuOzF/A1ZaQ6zMsj44QXWsxFRar5HIkXMDp7mXI8R5/O0e/P06ycwy8XaPYPECH8UKlAFCunZ+YoJXWSBWGsNkU1LuN5fRwI6kSBT7kgaOxTGuhnRFOal56n+Z0vk4RFkiggLu2kfmiCwXCY8s4atZlZ5qtVcsUSjYUqO/I+pT7X0ouiHEEQ0liokyvm3WshQpOAxuwCuTACFUaClDhNWUg9tNlgtC8izOVW/D9a1eLvLcFb6yTlFpDN6IFZ3LnI/cCHVfVns/cfBFDVjyxJczRL86yIBMB5YGStrqGJiQk9fvz4hvO12h0B612fpuruckkVz5PFs/2V0i3fX3tbeO1uhnaaNNVr+tJXyreou02y/brS8Zbud81+yewCZioeLQXqNWTyHHGcEoU+wdjY1WfTS/vkWy03K2cYuYus+/ZdnfYmrevOjbWuEdxImtXGlqy0n2r1mmsE7N3rupyWHyNNXQvk9Gk3r5Sq+6x9W+nMjOsWqlbdcrHoWhFx7C40T025Sv/IEdeCeOUVN1nhiROv3ZLabqXEsXtttdxxlvyEYoTZKM+VwhDigZe6Ec35uHlVmrrn47N0KuzXHj2UIjSzFgQoTdy1ntTzSNPUzXQbBOTimEBSxHd3gzWjHGmiXO4bIsnKdndjDg0Dzgd5SIR6EKEq1HIeZ3btJ877RAqBKrvSeeqFAueDHGkQoH0FDr9hnMOjB6BaZfbF43yXhFNVqO8YwisVOXTfS7BUIAAAB0NJREFU3ewOPDRNCAolGN1N3+AI9a98gdYLz5McO07Ti2mVClRv20//W36G/tH9jLzpJ7lSq3L8S5+n1WoShhETD7ydvQdfv1hOK10jADh5/Bh68RKBCONje2l4TZqBRxiE7L7zXgoDO673ld/Y9/sGiMjzqjpxzfpNDgQB8B3gbcCrwHPAe1T1xJI07wcOq+pvZBeLH1HVX1prvzcbCMx1XK9SXPo5XL8C3WzrqcTXk+ZGjtXuzwd35t6+/rDaMdLUVdArpVd1FXq7a6jdZdVouCAQuDEP5PNum0plsbtocT+e59K2Wm653QKam3NB6Nw5aDZJh3eQiOD7Pl695vZZLrttKpXXurRCNwUGxaKreBoNF/Taz8sAl25w0O1DhDhp0fSFqNhPkCrkcqS5iGRuFt8PIMrRWlgAUsK+fhgcpLEwT+OVM1Cr4pfLJCMjpIGbGsWL8viaoElK2NdH4gmzV6YpDQzQP7LH9ZXXaqSe0KovUI+bNFpK3/AgYRi5YyaJ61bJ5fH8gLRRJ5mbReMW9co0lErkh3ciqeLnC3ih67pp1mvUqnMUSv1E+Wsr3uV3DS2uq9fc8xDyeTc7antc0s08Le1WfXfpUCDIDvwO4HHcScXHVfUxEflj4LiqflZE8sAngXuBaeBd7YvLq7FAYIwxN261QLDp4whU9XPA55at+6Mly3Xg0c3OhzHGmJV1qC1vjDGmW1ggMMaYHmeBwBhjepwFAmOM6XEWCIwxpsdZIDDGmB5ngcAYY3rcpg8o2wwichH4wRpJdrJs0jqzyMpmbVY+q7OyWd1WKZsDqjqyfOWWDATXIyLHVxo9Z6xsrsfKZ3VWNqvb6mVjXUPGGNPjLBAYY0yP266B4MlOZ6CLWdmszcpndVY2q9vSZbMtrxEYY4xZv+3aIjDGGLNOFgiMMabHbdtAICJ/JiLfFpEXReQzIjLU6Tx1CxF5VEROiEgqIlv2lrdbSUQeFJGXReSUiPxBp/PTTUTk4yJyQURe6nReuo2I7BeRZ0TkZPab+p1O52kjtm0gAL4I3K2qR3CPy/xgh/PTTV4CHgG+2umMdAMR8YG/Bt4O3AW8W0Tu6myuusongAc7nYkuFQO/p6pvAH4ceP9W/O5s20Cgql9Q1Th7+9/AWCfz001U9aSqvtzpfHSR+4BTqvo9VW0C/wA83OE8dQ1V/SruMbJmGVWdVNVvZMtzwElgX2dzdeO2bSBY5n3A5zudCdO19gFnlrw/yxb8MZvOEpGDuGevf72zOblxm/7M4s0kIl8Cdq/w0YdU9V+yNB/CNd+e+v/MW6etp2zMIllhnd1XbdZNRPqATwO/q6qznc7PjdrSgUBVH1jrcxF5L/BzwNu0xwZMXK9szFXOAvuXvB8DznUoL2aLEZEQFwSeUtV/7nR+NmLbdg2JyIPAB4CHVHWh0/kxXe054A4RuU1EIuBdwGc7nCezBYiIAH8PnFTVj3U6Pxu1bQMB8ATQD3xRRF4Qkb/tdIa6hYj8vIicBe4H/k1EjnY6T52U3VTwm8BR3MW+f1TVE53NVfcQkaeBZ4E7ReSsiPxap/PURd4E/DLwU1k984KIvKPTmbpRNsWEMcb0uO3cIjDGGLMOFgiMMabHWSAwxpgeZ4HAGGN6nAUCY4zpcRYIjNmiRGRLDwg13cMCgdn2RORgNiX534nISyLylIg8ICJfE5H/FZH7RKSUTbf8nIj8j4g8vGTb/xSRb2R/P5Gtf6uI/LuIfCrb91PZ4KLV8vCjIvIfIvK8iBwVkT0iEmTHe2uW5iMi8li2fFpEPioix7K/12XrPyEiHxORZ4CPbnbZmd5gZxSmV7wOeBT4ddxI4vcAbwYeAv4Q+BbwFVV9X/bsimPZfE0XgJ9W1bqI3AE8DbSf4XAvcAg3HcXXcIOL/mv5gbMpCP4KeFhVL4rIO4HHsmP9KvApEflt3FTPb1yy6ayq3icivwI8jpsuBeD1wAOqmtyKgjHGAoHpFd9X1W8CiMgJ4MuqqiLyTeAgbn6hh0Tk97P0eWAcV8k/ISL3AAmuEm47pqpns32+kO3nmkAA3AncjRvlDuADkwCqekJEPgn8K3B/Ng1229NLXv98yfp/siBgbiULBKZXNJYsp0vep7jfQQL8wvLnNIjIh4Ep4IdxXan1VfaZsPrvSYATqnr/Kp8fBmaA0WXrdZXl6ir7MWZD7BqBMc5R4Lfa/fwicm+2fhCYVNUUN6eMv4F9vwyMiMj92b5DETmULT8ClIG3AH+57JGq71zy+uwGjmvMuliLwBjnT3D98C9mweA0rk/+b4BPi8ijwDNs4GxcVZsi8ou4in4Q97t7XESmgD/FTZN+RkSeAP4CeG+2aU5Evo47YXv3Tf3rjFmDTTpnTBcSkdPAhKpe6nRezPZnXUPGGNPjrEVgzC0kIp8Bblu2+gOq2tPPfDDdzQKBMcb0OOsaMsaYHmeBwBhjepwFAmOM6XEWCIwxpsdZIDDGmB73f/1xqF9td1KSAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,1)\n",
    "expr_df.plot(kind='scatter',x='mean_expr', y='p_mono_c57', ax=ax, alpha=0.1, color='green')\n",
    "expr_df.plot(kind='scatter',x='mean_expr', y='pois_mono_c57', ax=ax, alpha=0.1, color='red')\n",
    "expr_df.plot(kind='scatter',x='mean_expr', y='mono_c57', ax=ax, alpha=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x864 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4,2, sharey=True, figsize=(6,12))\n",
    "ax[0][0].scatter(expr_df['pois_mono_c57'],expr_df['mono_c57'], s=1)\n",
    "ax[0][1].scatter(expr_df['p_mono_c57'],expr_df['mono_c57'], s=1)\n",
    "ax[1][0].scatter(expr_df['pois_mono_cast'],expr_df['mono_cast'], s=1)\n",
    "ax[1][1].scatter(expr_df['p_mono_cast'],expr_df['mono_cast'], s=1)\n",
    "ax[2][0].scatter(expr_df['pois_biallelic'],expr_df['biallelic'], s=1)\n",
    "ax[2][1].scatter(expr_df['p_biallelic'],expr_df['biallelic'], s=1)\n",
    "ax[3][0].scatter(expr_df['pois_silent'],expr_df['silent'], s=1)\n",
    "ax[3][1].scatter(expr_df['p_silent'],expr_df['silent'], s=1)\n",
    "ax[0][0].set_ylabel('Monoallelic expression (C57)')\n",
    "ax[1][0].set_ylabel('Monoallelic expression (CAST)')\n",
    "ax[2][0].set_ylabel('Biallelic expression')\n",
    "ax[3][0].set_ylabel('No expression')\n",
    "ax[3][0].set_xlabel('Prediction from poisson model')\n",
    "ax[3][1].set_xlabel('Prediction from bursting model')\n",
    "plt.savefig('Revision figures/poisson_vs_bursting_model_predictions.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f53f51ccc18>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(expr_df['mono_c57'], expr_df['p_mono_c57'], s=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import binom"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>silent_c57</th>\n",
       "      <th>silent_cast</th>\n",
       "      <th>biallelic</th>\n",
       "      <th>mono_cast</th>\n",
       "      <th>mono_c57</th>\n",
       "      <th>silent</th>\n",
       "      <th>p_silent_c57</th>\n",
       "      <th>p_silent_cast</th>\n",
       "      <th>mean_expr</th>\n",
       "      <th>p_silent</th>\n",
       "      <th>p_biallelic</th>\n",
       "      <th>p_mono_cast</th>\n",
       "      <th>p_mono_c57</th>\n",
       "      <th>mean_expr_cast</th>\n",
       "      <th>pois_mono_c57</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0610007P14Rik</th>\n",
       "      <td>0.262443</td>\n",
       "      <td>0.280543</td>\n",
       "      <td>0.542986</td>\n",
       "      <td>0.176471</td>\n",
       "      <td>0.194570</td>\n",
       "      <td>0.085973</td>\n",
       "      <td>0.262426</td>\n",
       "      <td>0.278588</td>\n",
       "      <td>0.374109</td>\n",
       "      <td>0.073109</td>\n",
       "      <td>0.532094</td>\n",
       "      <td>0.189317</td>\n",
       "      <td>0.205479</td>\n",
       "      <td>0.334126</td>\n",
       "      <td>1.046772e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0610009B22Rik</th>\n",
       "      <td>0.193548</td>\n",
       "      <td>0.216590</td>\n",
       "      <td>0.635945</td>\n",
       "      <td>0.147465</td>\n",
       "      <td>0.170507</td>\n",
       "      <td>0.046083</td>\n",
       "      <td>0.170249</td>\n",
       "      <td>0.187380</td>\n",
       "      <td>0.589368</td>\n",
       "      <td>0.031901</td>\n",
       "      <td>0.674272</td>\n",
       "      <td>0.138348</td>\n",
       "      <td>0.155479</td>\n",
       "      <td>0.578412</td>\n",
       "      <td>2.217511e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0610009O20Rik</th>\n",
       "      <td>0.714286</td>\n",
       "      <td>0.718894</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>0.138249</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>0.576037</td>\n",
       "      <td>0.714446</td>\n",
       "      <td>0.719852</td>\n",
       "      <td>-0.327860</td>\n",
       "      <td>0.514296</td>\n",
       "      <td>0.079997</td>\n",
       "      <td>0.200151</td>\n",
       "      <td>0.205556</td>\n",
       "      <td>-0.323623</td>\n",
       "      <td>2.333040e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0610010F05Rik</th>\n",
       "      <td>0.632075</td>\n",
       "      <td>0.679245</td>\n",
       "      <td>0.183962</td>\n",
       "      <td>0.136792</td>\n",
       "      <td>0.183962</td>\n",
       "      <td>0.495283</td>\n",
       "      <td>0.635525</td>\n",
       "      <td>0.688765</td>\n",
       "      <td>-0.183321</td>\n",
       "      <td>0.437727</td>\n",
       "      <td>0.113437</td>\n",
       "      <td>0.197797</td>\n",
       "      <td>0.251038</td>\n",
       "      <td>-0.219126</td>\n",
       "      <td>2.629299e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0610012G03Rik</th>\n",
       "      <td>0.700000</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.150000</td>\n",
       "      <td>0.450000</td>\n",
       "      <td>0.150000</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.691902</td>\n",
       "      <td>0.375348</td>\n",
       "      <td>0.511883</td>\n",
       "      <td>0.259704</td>\n",
       "      <td>0.192454</td>\n",
       "      <td>0.432198</td>\n",
       "      <td>0.115644</td>\n",
       "      <td>0.908485</td>\n",
       "      <td>2.917696e-04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0610031J06Rik</th>\n",
       "      <td>0.031250</td>\n",
       "      <td>0.026786</td>\n",
       "      <td>0.946429</td>\n",
       "      <td>0.026786</td>\n",
       "      <td>0.022321</td>\n",
       "      <td>0.004464</td>\n",
       "      <td>0.019748</td>\n",
       "      <td>0.006571</td>\n",
       "      <td>1.054415</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.973812</td>\n",
       "      <td>0.019618</td>\n",
       "      <td>0.006441</td>\n",
       "      <td>1.168134</td>\n",
       "      <td>4.016477e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110002L01Rik</th>\n",
       "      <td>0.897727</td>\n",
       "      <td>0.977273</td>\n",
       "      <td>0.017045</td>\n",
       "      <td>0.005682</td>\n",
       "      <td>0.085227</td>\n",
       "      <td>0.892045</td>\n",
       "      <td>0.897486</td>\n",
       "      <td>0.977287</td>\n",
       "      <td>-0.754151</td>\n",
       "      <td>0.877102</td>\n",
       "      <td>0.002328</td>\n",
       "      <td>0.020384</td>\n",
       "      <td>0.100186</td>\n",
       "      <td>-1.467361</td>\n",
       "      <td>1.560836e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110007C09Rik</th>\n",
       "      <td>0.334928</td>\n",
       "      <td>0.282297</td>\n",
       "      <td>0.444976</td>\n",
       "      <td>0.272727</td>\n",
       "      <td>0.220096</td>\n",
       "      <td>0.062201</td>\n",
       "      <td>0.314937</td>\n",
       "      <td>0.268853</td>\n",
       "      <td>0.468729</td>\n",
       "      <td>0.084672</td>\n",
       "      <td>0.500881</td>\n",
       "      <td>0.230265</td>\n",
       "      <td>0.184181</td>\n",
       "      <td>0.613847</td>\n",
       "      <td>1.554186e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110037F02Rik</th>\n",
       "      <td>0.302752</td>\n",
       "      <td>0.288991</td>\n",
       "      <td>0.509174</td>\n",
       "      <td>0.201835</td>\n",
       "      <td>0.188073</td>\n",
       "      <td>0.100917</td>\n",
       "      <td>0.289314</td>\n",
       "      <td>0.285583</td>\n",
       "      <td>0.398736</td>\n",
       "      <td>0.082623</td>\n",
       "      <td>0.507726</td>\n",
       "      <td>0.206691</td>\n",
       "      <td>0.202960</td>\n",
       "      <td>0.414360</td>\n",
       "      <td>6.845549e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110038B12Rik</th>\n",
       "      <td>0.117117</td>\n",
       "      <td>0.198198</td>\n",
       "      <td>0.698198</td>\n",
       "      <td>0.103604</td>\n",
       "      <td>0.184685</td>\n",
       "      <td>0.013514</td>\n",
       "      <td>0.129326</td>\n",
       "      <td>0.201072</td>\n",
       "      <td>0.664371</td>\n",
       "      <td>0.026004</td>\n",
       "      <td>0.695606</td>\n",
       "      <td>0.103322</td>\n",
       "      <td>0.175069</td>\n",
       "      <td>0.509166</td>\n",
       "      <td>3.917721e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110038F14Rik</th>\n",
       "      <td>0.436620</td>\n",
       "      <td>0.389671</td>\n",
       "      <td>0.352113</td>\n",
       "      <td>0.258216</td>\n",
       "      <td>0.211268</td>\n",
       "      <td>0.178404</td>\n",
       "      <td>0.451343</td>\n",
       "      <td>0.391351</td>\n",
       "      <td>0.188816</td>\n",
       "      <td>0.176634</td>\n",
       "      <td>0.333940</td>\n",
       "      <td>0.274710</td>\n",
       "      <td>0.214717</td>\n",
       "      <td>0.210696</td>\n",
       "      <td>1.549822e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110051M20Rik</th>\n",
       "      <td>0.576531</td>\n",
       "      <td>0.607143</td>\n",
       "      <td>0.193878</td>\n",
       "      <td>0.198980</td>\n",
       "      <td>0.229592</td>\n",
       "      <td>0.377551</td>\n",
       "      <td>0.568383</td>\n",
       "      <td>0.602848</td>\n",
       "      <td>0.050167</td>\n",
       "      <td>0.342648</td>\n",
       "      <td>0.171418</td>\n",
       "      <td>0.225734</td>\n",
       "      <td>0.260200</td>\n",
       "      <td>0.034080</td>\n",
       "      <td>2.286897e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110057K04Rik</th>\n",
       "      <td>0.540284</td>\n",
       "      <td>0.545024</td>\n",
       "      <td>0.213270</td>\n",
       "      <td>0.241706</td>\n",
       "      <td>0.246445</td>\n",
       "      <td>0.298578</td>\n",
       "      <td>0.541689</td>\n",
       "      <td>0.553224</td>\n",
       "      <td>-0.057111</td>\n",
       "      <td>0.299676</td>\n",
       "      <td>0.204762</td>\n",
       "      <td>0.242013</td>\n",
       "      <td>0.253549</td>\n",
       "      <td>-0.014652</td>\n",
       "      <td>2.220423e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110058L19Rik</th>\n",
       "      <td>0.189189</td>\n",
       "      <td>0.166667</td>\n",
       "      <td>0.680180</td>\n",
       "      <td>0.153153</td>\n",
       "      <td>0.130631</td>\n",
       "      <td>0.036036</td>\n",
       "      <td>0.174618</td>\n",
       "      <td>0.164132</td>\n",
       "      <td>0.572202</td>\n",
       "      <td>0.028660</td>\n",
       "      <td>0.689911</td>\n",
       "      <td>0.145957</td>\n",
       "      <td>0.135471</td>\n",
       "      <td>0.644430</td>\n",
       "      <td>1.186584e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110059E24Rik</th>\n",
       "      <td>0.502370</td>\n",
       "      <td>0.478673</td>\n",
       "      <td>0.317536</td>\n",
       "      <td>0.203791</td>\n",
       "      <td>0.180095</td>\n",
       "      <td>0.298578</td>\n",
       "      <td>0.501468</td>\n",
       "      <td>0.495541</td>\n",
       "      <td>0.037445</td>\n",
       "      <td>0.248498</td>\n",
       "      <td>0.251489</td>\n",
       "      <td>0.252970</td>\n",
       "      <td>0.247043</td>\n",
       "      <td>0.063107</td>\n",
       "      <td>2.088428e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110059G10Rik</th>\n",
       "      <td>0.830065</td>\n",
       "      <td>0.875817</td>\n",
       "      <td>0.026144</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.143791</td>\n",
       "      <td>0.732026</td>\n",
       "      <td>0.831120</td>\n",
       "      <td>0.875822</td>\n",
       "      <td>-0.452298</td>\n",
       "      <td>0.727913</td>\n",
       "      <td>0.020971</td>\n",
       "      <td>0.103207</td>\n",
       "      <td>0.147909</td>\n",
       "      <td>-0.468688</td>\n",
       "      <td>2.116950e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1190002N15Rik</th>\n",
       "      <td>0.746544</td>\n",
       "      <td>0.626728</td>\n",
       "      <td>0.110599</td>\n",
       "      <td>0.262673</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>0.483871</td>\n",
       "      <td>0.751730</td>\n",
       "      <td>0.634277</td>\n",
       "      <td>-0.358736</td>\n",
       "      <td>0.476805</td>\n",
       "      <td>0.090798</td>\n",
       "      <td>0.274925</td>\n",
       "      <td>0.157472</td>\n",
       "      <td>-0.169142</td>\n",
       "      <td>1.800788e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300002E11Rik</th>\n",
       "      <td>0.585586</td>\n",
       "      <td>0.617117</td>\n",
       "      <td>0.225225</td>\n",
       "      <td>0.157658</td>\n",
       "      <td>0.189189</td>\n",
       "      <td>0.427928</td>\n",
       "      <td>0.587927</td>\n",
       "      <td>0.619336</td>\n",
       "      <td>-0.088674</td>\n",
       "      <td>0.364124</td>\n",
       "      <td>0.156861</td>\n",
       "      <td>0.223803</td>\n",
       "      <td>0.255212</td>\n",
       "      <td>-0.128869</td>\n",
       "      <td>2.651298e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500009L16Rik</th>\n",
       "      <td>0.844749</td>\n",
       "      <td>0.744292</td>\n",
       "      <td>0.091324</td>\n",
       "      <td>0.164384</td>\n",
       "      <td>0.063927</td>\n",
       "      <td>0.680365</td>\n",
       "      <td>0.845012</td>\n",
       "      <td>0.746578</td>\n",
       "      <td>-0.527531</td>\n",
       "      <td>0.630867</td>\n",
       "      <td>0.039277</td>\n",
       "      <td>0.214145</td>\n",
       "      <td>0.115710</td>\n",
       "      <td>-0.150112</td>\n",
       "      <td>1.265420e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500011B03Rik</th>\n",
       "      <td>0.593458</td>\n",
       "      <td>0.406542</td>\n",
       "      <td>0.224299</td>\n",
       "      <td>0.369159</td>\n",
       "      <td>0.182243</td>\n",
       "      <td>0.224299</td>\n",
       "      <td>0.594783</td>\n",
       "      <td>0.393390</td>\n",
       "      <td>0.008043</td>\n",
       "      <td>0.233982</td>\n",
       "      <td>0.245808</td>\n",
       "      <td>0.360801</td>\n",
       "      <td>0.159408</td>\n",
       "      <td>0.291800</td>\n",
       "      <td>9.018432e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500012F01Rik</th>\n",
       "      <td>0.406091</td>\n",
       "      <td>0.380711</td>\n",
       "      <td>0.390863</td>\n",
       "      <td>0.228426</td>\n",
       "      <td>0.203046</td>\n",
       "      <td>0.177665</td>\n",
       "      <td>0.404818</td>\n",
       "      <td>0.380367</td>\n",
       "      <td>0.351938</td>\n",
       "      <td>0.153979</td>\n",
       "      <td>0.368794</td>\n",
       "      <td>0.250838</td>\n",
       "      <td>0.226388</td>\n",
       "      <td>0.353894</td>\n",
       "      <td>9.344235e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500015A07Rik</th>\n",
       "      <td>0.923423</td>\n",
       "      <td>0.923423</td>\n",
       "      <td>0.027027</td>\n",
       "      <td>0.049550</td>\n",
       "      <td>0.049550</td>\n",
       "      <td>0.873874</td>\n",
       "      <td>0.923552</td>\n",
       "      <td>0.923487</td>\n",
       "      <td>-0.948413</td>\n",
       "      <td>0.852889</td>\n",
       "      <td>0.005849</td>\n",
       "      <td>0.070663</td>\n",
       "      <td>0.070599</td>\n",
       "      <td>-0.854991</td>\n",
       "      <td>9.262287e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600012H06Rik</th>\n",
       "      <td>0.540373</td>\n",
       "      <td>0.577640</td>\n",
       "      <td>0.167702</td>\n",
       "      <td>0.254658</td>\n",
       "      <td>0.291925</td>\n",
       "      <td>0.285714</td>\n",
       "      <td>0.533988</td>\n",
       "      <td>0.577451</td>\n",
       "      <td>0.180564</td>\n",
       "      <td>0.308352</td>\n",
       "      <td>0.196913</td>\n",
       "      <td>0.225636</td>\n",
       "      <td>0.269099</td>\n",
       "      <td>0.080976</td>\n",
       "      <td>2.338593e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700001G11Rik</th>\n",
       "      <td>0.963801</td>\n",
       "      <td>0.963801</td>\n",
       "      <td>0.018100</td>\n",
       "      <td>0.018100</td>\n",
       "      <td>0.018100</td>\n",
       "      <td>0.945701</td>\n",
       "      <td>0.964014</td>\n",
       "      <td>0.963811</td>\n",
       "      <td>-1.265211</td>\n",
       "      <td>0.929127</td>\n",
       "      <td>0.001302</td>\n",
       "      <td>0.034887</td>\n",
       "      <td>0.034684</td>\n",
       "      <td>-1.303000</td>\n",
       "      <td>5.028461e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700003M07Rik</th>\n",
       "      <td>0.976077</td>\n",
       "      <td>0.976077</td>\n",
       "      <td>0.014354</td>\n",
       "      <td>0.009569</td>\n",
       "      <td>0.009569</td>\n",
       "      <td>0.966507</td>\n",
       "      <td>0.976135</td>\n",
       "      <td>0.976080</td>\n",
       "      <td>-1.019116</td>\n",
       "      <td>0.952786</td>\n",
       "      <td>0.000571</td>\n",
       "      <td>0.023349</td>\n",
       "      <td>0.023294</td>\n",
       "      <td>-1.206203</td>\n",
       "      <td>8.575436e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700012B09Rik</th>\n",
       "      <td>0.964286</td>\n",
       "      <td>0.964286</td>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.946429</td>\n",
       "      <td>0.963534</td>\n",
       "      <td>0.964296</td>\n",
       "      <td>-1.236305</td>\n",
       "      <td>0.929132</td>\n",
       "      <td>0.001302</td>\n",
       "      <td>0.034402</td>\n",
       "      <td>0.035164</td>\n",
       "      <td>-1.308855</td>\n",
       "      <td>5.368179e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700017B05Rik</th>\n",
       "      <td>0.563636</td>\n",
       "      <td>0.715152</td>\n",
       "      <td>0.145455</td>\n",
       "      <td>0.139394</td>\n",
       "      <td>0.290909</td>\n",
       "      <td>0.424242</td>\n",
       "      <td>0.559007</td>\n",
       "      <td>0.712722</td>\n",
       "      <td>0.168122</td>\n",
       "      <td>0.398417</td>\n",
       "      <td>0.126687</td>\n",
       "      <td>0.160591</td>\n",
       "      <td>0.314305</td>\n",
       "      <td>-0.090379</td>\n",
       "      <td>3.421259e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700020I14Rik</th>\n",
       "      <td>0.225806</td>\n",
       "      <td>0.488479</td>\n",
       "      <td>0.400922</td>\n",
       "      <td>0.110599</td>\n",
       "      <td>0.373272</td>\n",
       "      <td>0.115207</td>\n",
       "      <td>0.211185</td>\n",
       "      <td>0.486851</td>\n",
       "      <td>0.516630</td>\n",
       "      <td>0.102816</td>\n",
       "      <td>0.404779</td>\n",
       "      <td>0.108370</td>\n",
       "      <td>0.384035</td>\n",
       "      <td>0.185984</td>\n",
       "      <td>2.074855e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700021K19Rik</th>\n",
       "      <td>0.605769</td>\n",
       "      <td>0.620192</td>\n",
       "      <td>0.187500</td>\n",
       "      <td>0.192308</td>\n",
       "      <td>0.206731</td>\n",
       "      <td>0.413462</td>\n",
       "      <td>0.606246</td>\n",
       "      <td>0.621203</td>\n",
       "      <td>-0.060385</td>\n",
       "      <td>0.376602</td>\n",
       "      <td>0.149153</td>\n",
       "      <td>0.229644</td>\n",
       "      <td>0.244601</td>\n",
       "      <td>-0.075025</td>\n",
       "      <td>2.505420e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700025G04Rik</th>\n",
       "      <td>0.699531</td>\n",
       "      <td>0.647887</td>\n",
       "      <td>0.136150</td>\n",
       "      <td>0.215962</td>\n",
       "      <td>0.164319</td>\n",
       "      <td>0.483568</td>\n",
       "      <td>0.709226</td>\n",
       "      <td>0.649471</td>\n",
       "      <td>-0.242020</td>\n",
       "      <td>0.460622</td>\n",
       "      <td>0.101925</td>\n",
       "      <td>0.248604</td>\n",
       "      <td>0.188849</td>\n",
       "      <td>-0.085342</td>\n",
       "      <td>1.917390e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zik1</th>\n",
       "      <td>0.961538</td>\n",
       "      <td>0.923077</td>\n",
       "      <td>0.014423</td>\n",
       "      <td>0.062500</td>\n",
       "      <td>0.024038</td>\n",
       "      <td>0.899038</td>\n",
       "      <td>0.961558</td>\n",
       "      <td>0.923132</td>\n",
       "      <td>-1.039310</td>\n",
       "      <td>0.887645</td>\n",
       "      <td>0.002955</td>\n",
       "      <td>0.073913</td>\n",
       "      <td>0.035487</td>\n",
       "      <td>-0.886700</td>\n",
       "      <td>7.667096e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zkscan14</th>\n",
       "      <td>0.944954</td>\n",
       "      <td>0.944954</td>\n",
       "      <td>0.018349</td>\n",
       "      <td>0.036697</td>\n",
       "      <td>0.036697</td>\n",
       "      <td>0.908257</td>\n",
       "      <td>0.944909</td>\n",
       "      <td>0.944953</td>\n",
       "      <td>-0.976729</td>\n",
       "      <td>0.892895</td>\n",
       "      <td>0.003033</td>\n",
       "      <td>0.052014</td>\n",
       "      <td>0.052058</td>\n",
       "      <td>-1.059703</td>\n",
       "      <td>9.177225e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmat2</th>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.027778</td>\n",
       "      <td>0.305556</td>\n",
       "      <td>0.222222</td>\n",
       "      <td>0.444444</td>\n",
       "      <td>0.748726</td>\n",
       "      <td>0.664160</td>\n",
       "      <td>0.425969</td>\n",
       "      <td>0.497274</td>\n",
       "      <td>0.084388</td>\n",
       "      <td>0.251452</td>\n",
       "      <td>0.166886</td>\n",
       "      <td>0.338567</td>\n",
       "      <td>1.051286e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmat3</th>\n",
       "      <td>0.328638</td>\n",
       "      <td>0.272300</td>\n",
       "      <td>0.492958</td>\n",
       "      <td>0.234742</td>\n",
       "      <td>0.178404</td>\n",
       "      <td>0.093897</td>\n",
       "      <td>0.323907</td>\n",
       "      <td>0.268880</td>\n",
       "      <td>0.464712</td>\n",
       "      <td>0.087092</td>\n",
       "      <td>0.494305</td>\n",
       "      <td>0.236815</td>\n",
       "      <td>0.181788</td>\n",
       "      <td>0.438776</td>\n",
       "      <td>6.067770e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmpste24</th>\n",
       "      <td>0.195455</td>\n",
       "      <td>0.286364</td>\n",
       "      <td>0.581818</td>\n",
       "      <td>0.131818</td>\n",
       "      <td>0.222727</td>\n",
       "      <td>0.063636</td>\n",
       "      <td>0.203140</td>\n",
       "      <td>0.269217</td>\n",
       "      <td>0.513702</td>\n",
       "      <td>0.054689</td>\n",
       "      <td>0.582332</td>\n",
       "      <td>0.148451</td>\n",
       "      <td>0.214528</td>\n",
       "      <td>0.444329</td>\n",
       "      <td>5.955721e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmym1</th>\n",
       "      <td>0.842365</td>\n",
       "      <td>0.862069</td>\n",
       "      <td>0.049261</td>\n",
       "      <td>0.088670</td>\n",
       "      <td>0.108374</td>\n",
       "      <td>0.753695</td>\n",
       "      <td>0.843696</td>\n",
       "      <td>0.863839</td>\n",
       "      <td>-0.544068</td>\n",
       "      <td>0.728817</td>\n",
       "      <td>0.021283</td>\n",
       "      <td>0.114879</td>\n",
       "      <td>0.135022</td>\n",
       "      <td>-0.644738</td>\n",
       "      <td>1.981320e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmym2</th>\n",
       "      <td>0.738462</td>\n",
       "      <td>0.707692</td>\n",
       "      <td>0.123077</td>\n",
       "      <td>0.169231</td>\n",
       "      <td>0.138462</td>\n",
       "      <td>0.569231</td>\n",
       "      <td>0.739324</td>\n",
       "      <td>0.707755</td>\n",
       "      <td>-0.360616</td>\n",
       "      <td>0.523261</td>\n",
       "      <td>0.076181</td>\n",
       "      <td>0.216064</td>\n",
       "      <td>0.184495</td>\n",
       "      <td>-0.316907</td>\n",
       "      <td>2.181780e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmym4</th>\n",
       "      <td>0.754839</td>\n",
       "      <td>0.806452</td>\n",
       "      <td>0.045161</td>\n",
       "      <td>0.148387</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.606452</td>\n",
       "      <td>0.754646</td>\n",
       "      <td>0.806624</td>\n",
       "      <td>-0.107546</td>\n",
       "      <td>0.608716</td>\n",
       "      <td>0.047446</td>\n",
       "      <td>0.145931</td>\n",
       "      <td>0.197908</td>\n",
       "      <td>-0.236089</td>\n",
       "      <td>3.032074e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmynd8</th>\n",
       "      <td>0.438144</td>\n",
       "      <td>0.443299</td>\n",
       "      <td>0.314433</td>\n",
       "      <td>0.242268</td>\n",
       "      <td>0.247423</td>\n",
       "      <td>0.195876</td>\n",
       "      <td>0.442686</td>\n",
       "      <td>0.444893</td>\n",
       "      <td>0.250017</td>\n",
       "      <td>0.196948</td>\n",
       "      <td>0.309369</td>\n",
       "      <td>0.245738</td>\n",
       "      <td>0.247945</td>\n",
       "      <td>0.255024</td>\n",
       "      <td>1.375189e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znfx1</th>\n",
       "      <td>0.671429</td>\n",
       "      <td>0.585714</td>\n",
       "      <td>0.161905</td>\n",
       "      <td>0.252381</td>\n",
       "      <td>0.166667</td>\n",
       "      <td>0.419048</td>\n",
       "      <td>0.670650</td>\n",
       "      <td>0.575474</td>\n",
       "      <td>0.006160</td>\n",
       "      <td>0.385942</td>\n",
       "      <td>0.139817</td>\n",
       "      <td>0.284708</td>\n",
       "      <td>0.189532</td>\n",
       "      <td>0.235288</td>\n",
       "      <td>1.142345e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znhit1</th>\n",
       "      <td>0.213953</td>\n",
       "      <td>0.232558</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.167442</td>\n",
       "      <td>0.186047</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.185812</td>\n",
       "      <td>0.235596</td>\n",
       "      <td>0.543201</td>\n",
       "      <td>0.043777</td>\n",
       "      <td>0.622368</td>\n",
       "      <td>0.142036</td>\n",
       "      <td>0.191819</td>\n",
       "      <td>0.581375</td>\n",
       "      <td>2.138995e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znhit3</th>\n",
       "      <td>0.542453</td>\n",
       "      <td>0.523585</td>\n",
       "      <td>0.259434</td>\n",
       "      <td>0.216981</td>\n",
       "      <td>0.198113</td>\n",
       "      <td>0.325472</td>\n",
       "      <td>0.540880</td>\n",
       "      <td>0.519587</td>\n",
       "      <td>0.095268</td>\n",
       "      <td>0.281034</td>\n",
       "      <td>0.220567</td>\n",
       "      <td>0.259846</td>\n",
       "      <td>0.238552</td>\n",
       "      <td>0.136062</td>\n",
       "      <td>1.813358e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znhit6</th>\n",
       "      <td>0.354260</td>\n",
       "      <td>0.372197</td>\n",
       "      <td>0.430493</td>\n",
       "      <td>0.197309</td>\n",
       "      <td>0.215247</td>\n",
       "      <td>0.156951</td>\n",
       "      <td>0.344692</td>\n",
       "      <td>0.369270</td>\n",
       "      <td>0.341004</td>\n",
       "      <td>0.127284</td>\n",
       "      <td>0.413323</td>\n",
       "      <td>0.217408</td>\n",
       "      <td>0.241985</td>\n",
       "      <td>0.282123</td>\n",
       "      <td>1.309248e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrd1</th>\n",
       "      <td>0.487437</td>\n",
       "      <td>0.417085</td>\n",
       "      <td>0.296482</td>\n",
       "      <td>0.286432</td>\n",
       "      <td>0.216080</td>\n",
       "      <td>0.201005</td>\n",
       "      <td>0.487583</td>\n",
       "      <td>0.410506</td>\n",
       "      <td>0.083164</td>\n",
       "      <td>0.200156</td>\n",
       "      <td>0.302067</td>\n",
       "      <td>0.287427</td>\n",
       "      <td>0.210350</td>\n",
       "      <td>0.196691</td>\n",
       "      <td>1.456543e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrd1as</th>\n",
       "      <td>0.806452</td>\n",
       "      <td>0.766129</td>\n",
       "      <td>0.032258</td>\n",
       "      <td>0.201613</td>\n",
       "      <td>0.161290</td>\n",
       "      <td>0.604839</td>\n",
       "      <td>0.806438</td>\n",
       "      <td>0.766129</td>\n",
       "      <td>-0.080584</td>\n",
       "      <td>0.617836</td>\n",
       "      <td>0.045268</td>\n",
       "      <td>0.188602</td>\n",
       "      <td>0.148293</td>\n",
       "      <td>-0.148939</td>\n",
       "      <td>2.774909e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrf1</th>\n",
       "      <td>0.497207</td>\n",
       "      <td>0.614525</td>\n",
       "      <td>0.240223</td>\n",
       "      <td>0.145251</td>\n",
       "      <td>0.262570</td>\n",
       "      <td>0.351955</td>\n",
       "      <td>0.509295</td>\n",
       "      <td>0.629321</td>\n",
       "      <td>0.099329</td>\n",
       "      <td>0.320510</td>\n",
       "      <td>0.181894</td>\n",
       "      <td>0.188785</td>\n",
       "      <td>0.308811</td>\n",
       "      <td>-0.129001</td>\n",
       "      <td>3.403415e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrf2</th>\n",
       "      <td>0.805000</td>\n",
       "      <td>0.900000</td>\n",
       "      <td>0.055000</td>\n",
       "      <td>0.045000</td>\n",
       "      <td>0.140000</td>\n",
       "      <td>0.760000</td>\n",
       "      <td>0.805572</td>\n",
       "      <td>0.900044</td>\n",
       "      <td>-0.437707</td>\n",
       "      <td>0.725051</td>\n",
       "      <td>0.019434</td>\n",
       "      <td>0.080522</td>\n",
       "      <td>0.174994</td>\n",
       "      <td>-0.838632</td>\n",
       "      <td>2.645267e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zranb1</th>\n",
       "      <td>0.869281</td>\n",
       "      <td>0.849673</td>\n",
       "      <td>0.045752</td>\n",
       "      <td>0.104575</td>\n",
       "      <td>0.084967</td>\n",
       "      <td>0.764706</td>\n",
       "      <td>0.869339</td>\n",
       "      <td>0.849921</td>\n",
       "      <td>-0.628389</td>\n",
       "      <td>0.738869</td>\n",
       "      <td>0.019610</td>\n",
       "      <td>0.130470</td>\n",
       "      <td>0.111052</td>\n",
       "      <td>-0.468688</td>\n",
       "      <td>1.492504e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zranb2</th>\n",
       "      <td>0.357143</td>\n",
       "      <td>0.368132</td>\n",
       "      <td>0.368132</td>\n",
       "      <td>0.263736</td>\n",
       "      <td>0.274725</td>\n",
       "      <td>0.093407</td>\n",
       "      <td>0.333380</td>\n",
       "      <td>0.334618</td>\n",
       "      <td>0.396027</td>\n",
       "      <td>0.111555</td>\n",
       "      <td>0.443557</td>\n",
       "      <td>0.221825</td>\n",
       "      <td>0.223063</td>\n",
       "      <td>0.423876</td>\n",
       "      <td>6.453902e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zrsr1</th>\n",
       "      <td>0.903061</td>\n",
       "      <td>0.954082</td>\n",
       "      <td>0.020408</td>\n",
       "      <td>0.025510</td>\n",
       "      <td>0.076531</td>\n",
       "      <td>0.877551</td>\n",
       "      <td>0.903083</td>\n",
       "      <td>0.954314</td>\n",
       "      <td>-0.773742</td>\n",
       "      <td>0.861824</td>\n",
       "      <td>0.004428</td>\n",
       "      <td>0.041259</td>\n",
       "      <td>0.092489</td>\n",
       "      <td>-0.930528</td>\n",
       "      <td>1.377993e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zscan12</th>\n",
       "      <td>0.776699</td>\n",
       "      <td>0.844660</td>\n",
       "      <td>0.063107</td>\n",
       "      <td>0.092233</td>\n",
       "      <td>0.160194</td>\n",
       "      <td>0.684466</td>\n",
       "      <td>0.778275</td>\n",
       "      <td>0.846537</td>\n",
       "      <td>-0.405382</td>\n",
       "      <td>0.658838</td>\n",
       "      <td>0.034027</td>\n",
       "      <td>0.119437</td>\n",
       "      <td>0.187698</td>\n",
       "      <td>-0.573505</td>\n",
       "      <td>2.489295e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zscan2</th>\n",
       "      <td>0.953125</td>\n",
       "      <td>0.937500</td>\n",
       "      <td>0.036458</td>\n",
       "      <td>0.026042</td>\n",
       "      <td>0.010417</td>\n",
       "      <td>0.927083</td>\n",
       "      <td>0.953498</td>\n",
       "      <td>0.937511</td>\n",
       "      <td>-0.982271</td>\n",
       "      <td>0.893914</td>\n",
       "      <td>0.002906</td>\n",
       "      <td>0.059584</td>\n",
       "      <td>0.043596</td>\n",
       "      <td>-0.903090</td>\n",
       "      <td>8.730091e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zscan21</th>\n",
       "      <td>0.618357</td>\n",
       "      <td>0.676329</td>\n",
       "      <td>0.149758</td>\n",
       "      <td>0.173913</td>\n",
       "      <td>0.231884</td>\n",
       "      <td>0.444444</td>\n",
       "      <td>0.620347</td>\n",
       "      <td>0.677943</td>\n",
       "      <td>-0.139879</td>\n",
       "      <td>0.420560</td>\n",
       "      <td>0.122270</td>\n",
       "      <td>0.199787</td>\n",
       "      <td>0.257383</td>\n",
       "      <td>-0.090661</td>\n",
       "      <td>2.289590e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zswim4</th>\n",
       "      <td>0.845794</td>\n",
       "      <td>0.808411</td>\n",
       "      <td>0.060748</td>\n",
       "      <td>0.130841</td>\n",
       "      <td>0.093458</td>\n",
       "      <td>0.714953</td>\n",
       "      <td>0.845614</td>\n",
       "      <td>0.808497</td>\n",
       "      <td>-0.598020</td>\n",
       "      <td>0.683676</td>\n",
       "      <td>0.029565</td>\n",
       "      <td>0.161937</td>\n",
       "      <td>0.124821</td>\n",
       "      <td>-0.473081</td>\n",
       "      <td>1.593014e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zswim6</th>\n",
       "      <td>0.746032</td>\n",
       "      <td>0.449735</td>\n",
       "      <td>0.169312</td>\n",
       "      <td>0.380952</td>\n",
       "      <td>0.084656</td>\n",
       "      <td>0.365079</td>\n",
       "      <td>0.748059</td>\n",
       "      <td>0.436347</td>\n",
       "      <td>-0.133447</td>\n",
       "      <td>0.326413</td>\n",
       "      <td>0.142008</td>\n",
       "      <td>0.421646</td>\n",
       "      <td>0.109934</td>\n",
       "      <td>0.298726</td>\n",
       "      <td>7.122013e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zswim7</th>\n",
       "      <td>0.492823</td>\n",
       "      <td>0.535885</td>\n",
       "      <td>0.253589</td>\n",
       "      <td>0.210526</td>\n",
       "      <td>0.253589</td>\n",
       "      <td>0.282297</td>\n",
       "      <td>0.479760</td>\n",
       "      <td>0.533234</td>\n",
       "      <td>0.276451</td>\n",
       "      <td>0.255824</td>\n",
       "      <td>0.242831</td>\n",
       "      <td>0.223936</td>\n",
       "      <td>0.277410</td>\n",
       "      <td>0.142252</td>\n",
       "      <td>2.119618e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zwilch</th>\n",
       "      <td>0.825472</td>\n",
       "      <td>0.778302</td>\n",
       "      <td>0.099057</td>\n",
       "      <td>0.122642</td>\n",
       "      <td>0.075472</td>\n",
       "      <td>0.702830</td>\n",
       "      <td>0.825247</td>\n",
       "      <td>0.778985</td>\n",
       "      <td>-0.451275</td>\n",
       "      <td>0.642855</td>\n",
       "      <td>0.038623</td>\n",
       "      <td>0.182392</td>\n",
       "      <td>0.136130</td>\n",
       "      <td>-0.301030</td>\n",
       "      <td>1.807256e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zwint</th>\n",
       "      <td>0.127962</td>\n",
       "      <td>0.127962</td>\n",
       "      <td>0.786730</td>\n",
       "      <td>0.085308</td>\n",
       "      <td>0.085308</td>\n",
       "      <td>0.042654</td>\n",
       "      <td>0.114320</td>\n",
       "      <td>0.123279</td>\n",
       "      <td>0.765976</td>\n",
       "      <td>0.014093</td>\n",
       "      <td>0.776494</td>\n",
       "      <td>0.100227</td>\n",
       "      <td>0.109185</td>\n",
       "      <td>0.774015</td>\n",
       "      <td>2.616132e-03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zxdc</th>\n",
       "      <td>0.649485</td>\n",
       "      <td>0.685567</td>\n",
       "      <td>0.128866</td>\n",
       "      <td>0.185567</td>\n",
       "      <td>0.221649</td>\n",
       "      <td>0.463918</td>\n",
       "      <td>0.650493</td>\n",
       "      <td>0.686535</td>\n",
       "      <td>-0.126434</td>\n",
       "      <td>0.446586</td>\n",
       "      <td>0.109558</td>\n",
       "      <td>0.203907</td>\n",
       "      <td>0.239949</td>\n",
       "      <td>-0.144787</td>\n",
       "      <td>2.571331e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zyx</th>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.089286</td>\n",
       "      <td>0.901786</td>\n",
       "      <td>0.008929</td>\n",
       "      <td>0.080357</td>\n",
       "      <td>0.008929</td>\n",
       "      <td>0.015142</td>\n",
       "      <td>0.085752</td>\n",
       "      <td>1.247776</td>\n",
       "      <td>0.001298</td>\n",
       "      <td>0.900405</td>\n",
       "      <td>0.013844</td>\n",
       "      <td>0.084453</td>\n",
       "      <td>0.774908</td>\n",
       "      <td>2.591918e-03</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4918 rows × 15 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               silent_c57  silent_cast  biallelic  mono_cast  mono_c57  \\\n",
       "0610007P14Rik    0.262443     0.280543   0.542986   0.176471  0.194570   \n",
       "0610009B22Rik    0.193548     0.216590   0.635945   0.147465  0.170507   \n",
       "0610009O20Rik    0.714286     0.718894   0.142857   0.138249  0.142857   \n",
       "0610010F05Rik    0.632075     0.679245   0.183962   0.136792  0.183962   \n",
       "0610012G03Rik    0.700000     0.400000   0.150000   0.450000  0.150000   \n",
       "0610031J06Rik    0.031250     0.026786   0.946429   0.026786  0.022321   \n",
       "1110002L01Rik    0.897727     0.977273   0.017045   0.005682  0.085227   \n",
       "1110007C09Rik    0.334928     0.282297   0.444976   0.272727  0.220096   \n",
       "1110037F02Rik    0.302752     0.288991   0.509174   0.201835  0.188073   \n",
       "1110038B12Rik    0.117117     0.198198   0.698198   0.103604  0.184685   \n",
       "1110038F14Rik    0.436620     0.389671   0.352113   0.258216  0.211268   \n",
       "1110051M20Rik    0.576531     0.607143   0.193878   0.198980  0.229592   \n",
       "1110057K04Rik    0.540284     0.545024   0.213270   0.241706  0.246445   \n",
       "1110058L19Rik    0.189189     0.166667   0.680180   0.153153  0.130631   \n",
       "1110059E24Rik    0.502370     0.478673   0.317536   0.203791  0.180095   \n",
       "1110059G10Rik    0.830065     0.875817   0.026144   0.098039  0.143791   \n",
       "1190002N15Rik    0.746544     0.626728   0.110599   0.262673  0.142857   \n",
       "1300002E11Rik    0.585586     0.617117   0.225225   0.157658  0.189189   \n",
       "1500009L16Rik    0.844749     0.744292   0.091324   0.164384  0.063927   \n",
       "1500011B03Rik    0.593458     0.406542   0.224299   0.369159  0.182243   \n",
       "1500012F01Rik    0.406091     0.380711   0.390863   0.228426  0.203046   \n",
       "1500015A07Rik    0.923423     0.923423   0.027027   0.049550  0.049550   \n",
       "1600012H06Rik    0.540373     0.577640   0.167702   0.254658  0.291925   \n",
       "1700001G11Rik    0.963801     0.963801   0.018100   0.018100  0.018100   \n",
       "1700003M07Rik    0.976077     0.976077   0.014354   0.009569  0.009569   \n",
       "1700012B09Rik    0.964286     0.964286   0.017857   0.017857  0.017857   \n",
       "1700017B05Rik    0.563636     0.715152   0.145455   0.139394  0.290909   \n",
       "1700020I14Rik    0.225806     0.488479   0.400922   0.110599  0.373272   \n",
       "1700021K19Rik    0.605769     0.620192   0.187500   0.192308  0.206731   \n",
       "1700025G04Rik    0.699531     0.647887   0.136150   0.215962  0.164319   \n",
       "...                   ...          ...        ...        ...       ...   \n",
       "Zik1             0.961538     0.923077   0.014423   0.062500  0.024038   \n",
       "Zkscan14         0.944954     0.944954   0.018349   0.036697  0.036697   \n",
       "Zmat2            0.750000     0.666667   0.027778   0.305556  0.222222   \n",
       "Zmat3            0.328638     0.272300   0.492958   0.234742  0.178404   \n",
       "Zmpste24         0.195455     0.286364   0.581818   0.131818  0.222727   \n",
       "Zmym1            0.842365     0.862069   0.049261   0.088670  0.108374   \n",
       "Zmym2            0.738462     0.707692   0.123077   0.169231  0.138462   \n",
       "Zmym4            0.754839     0.806452   0.045161   0.148387  0.200000   \n",
       "Zmynd8           0.438144     0.443299   0.314433   0.242268  0.247423   \n",
       "Znfx1            0.671429     0.585714   0.161905   0.252381  0.166667   \n",
       "Znhit1           0.213953     0.232558   0.600000   0.167442  0.186047   \n",
       "Znhit3           0.542453     0.523585   0.259434   0.216981  0.198113   \n",
       "Znhit6           0.354260     0.372197   0.430493   0.197309  0.215247   \n",
       "Znrd1            0.487437     0.417085   0.296482   0.286432  0.216080   \n",
       "Znrd1as          0.806452     0.766129   0.032258   0.201613  0.161290   \n",
       "Znrf1            0.497207     0.614525   0.240223   0.145251  0.262570   \n",
       "Znrf2            0.805000     0.900000   0.055000   0.045000  0.140000   \n",
       "Zranb1           0.869281     0.849673   0.045752   0.104575  0.084967   \n",
       "Zranb2           0.357143     0.368132   0.368132   0.263736  0.274725   \n",
       "Zrsr1            0.903061     0.954082   0.020408   0.025510  0.076531   \n",
       "Zscan12          0.776699     0.844660   0.063107   0.092233  0.160194   \n",
       "Zscan2           0.953125     0.937500   0.036458   0.026042  0.010417   \n",
       "Zscan21          0.618357     0.676329   0.149758   0.173913  0.231884   \n",
       "Zswim4           0.845794     0.808411   0.060748   0.130841  0.093458   \n",
       "Zswim6           0.746032     0.449735   0.169312   0.380952  0.084656   \n",
       "Zswim7           0.492823     0.535885   0.253589   0.210526  0.253589   \n",
       "Zwilch           0.825472     0.778302   0.099057   0.122642  0.075472   \n",
       "Zwint            0.127962     0.127962   0.786730   0.085308  0.085308   \n",
       "Zxdc             0.649485     0.685567   0.128866   0.185567  0.221649   \n",
       "Zyx              0.017857     0.089286   0.901786   0.008929  0.080357   \n",
       "\n",
       "                 silent  p_silent_c57  p_silent_cast  mean_expr  p_silent  \\\n",
       "0610007P14Rik  0.085973      0.262426       0.278588   0.374109  0.073109   \n",
       "0610009B22Rik  0.046083      0.170249       0.187380   0.589368  0.031901   \n",
       "0610009O20Rik  0.576037      0.714446       0.719852  -0.327860  0.514296   \n",
       "0610010F05Rik  0.495283      0.635525       0.688765  -0.183321  0.437727   \n",
       "0610012G03Rik  0.250000      0.691902       0.375348   0.511883  0.259704   \n",
       "0610031J06Rik  0.004464      0.019748       0.006571   1.054415  0.000130   \n",
       "1110002L01Rik  0.892045      0.897486       0.977287  -0.754151  0.877102   \n",
       "1110007C09Rik  0.062201      0.314937       0.268853   0.468729  0.084672   \n",
       "1110037F02Rik  0.100917      0.289314       0.285583   0.398736  0.082623   \n",
       "1110038B12Rik  0.013514      0.129326       0.201072   0.664371  0.026004   \n",
       "1110038F14Rik  0.178404      0.451343       0.391351   0.188816  0.176634   \n",
       "1110051M20Rik  0.377551      0.568383       0.602848   0.050167  0.342648   \n",
       "1110057K04Rik  0.298578      0.541689       0.553224  -0.057111  0.299676   \n",
       "1110058L19Rik  0.036036      0.174618       0.164132   0.572202  0.028660   \n",
       "1110059E24Rik  0.298578      0.501468       0.495541   0.037445  0.248498   \n",
       "1110059G10Rik  0.732026      0.831120       0.875822  -0.452298  0.727913   \n",
       "1190002N15Rik  0.483871      0.751730       0.634277  -0.358736  0.476805   \n",
       "1300002E11Rik  0.427928      0.587927       0.619336  -0.088674  0.364124   \n",
       "1500009L16Rik  0.680365      0.845012       0.746578  -0.527531  0.630867   \n",
       "1500011B03Rik  0.224299      0.594783       0.393390   0.008043  0.233982   \n",
       "1500012F01Rik  0.177665      0.404818       0.380367   0.351938  0.153979   \n",
       "1500015A07Rik  0.873874      0.923552       0.923487  -0.948413  0.852889   \n",
       "1600012H06Rik  0.285714      0.533988       0.577451   0.180564  0.308352   \n",
       "1700001G11Rik  0.945701      0.964014       0.963811  -1.265211  0.929127   \n",
       "1700003M07Rik  0.966507      0.976135       0.976080  -1.019116  0.952786   \n",
       "1700012B09Rik  0.946429      0.963534       0.964296  -1.236305  0.929132   \n",
       "1700017B05Rik  0.424242      0.559007       0.712722   0.168122  0.398417   \n",
       "1700020I14Rik  0.115207      0.211185       0.486851   0.516630  0.102816   \n",
       "1700021K19Rik  0.413462      0.606246       0.621203  -0.060385  0.376602   \n",
       "1700025G04Rik  0.483568      0.709226       0.649471  -0.242020  0.460622   \n",
       "...                 ...           ...            ...        ...       ...   \n",
       "Zik1           0.899038      0.961558       0.923132  -1.039310  0.887645   \n",
       "Zkscan14       0.908257      0.944909       0.944953  -0.976729  0.892895   \n",
       "Zmat2          0.444444      0.748726       0.664160   0.425969  0.497274   \n",
       "Zmat3          0.093897      0.323907       0.268880   0.464712  0.087092   \n",
       "Zmpste24       0.063636      0.203140       0.269217   0.513702  0.054689   \n",
       "Zmym1          0.753695      0.843696       0.863839  -0.544068  0.728817   \n",
       "Zmym2          0.569231      0.739324       0.707755  -0.360616  0.523261   \n",
       "Zmym4          0.606452      0.754646       0.806624  -0.107546  0.608716   \n",
       "Zmynd8         0.195876      0.442686       0.444893   0.250017  0.196948   \n",
       "Znfx1          0.419048      0.670650       0.575474   0.006160  0.385942   \n",
       "Znhit1         0.046512      0.185812       0.235596   0.543201  0.043777   \n",
       "Znhit3         0.325472      0.540880       0.519587   0.095268  0.281034   \n",
       "Znhit6         0.156951      0.344692       0.369270   0.341004  0.127284   \n",
       "Znrd1          0.201005      0.487583       0.410506   0.083164  0.200156   \n",
       "Znrd1as        0.604839      0.806438       0.766129  -0.080584  0.617836   \n",
       "Znrf1          0.351955      0.509295       0.629321   0.099329  0.320510   \n",
       "Znrf2          0.760000      0.805572       0.900044  -0.437707  0.725051   \n",
       "Zranb1         0.764706      0.869339       0.849921  -0.628389  0.738869   \n",
       "Zranb2         0.093407      0.333380       0.334618   0.396027  0.111555   \n",
       "Zrsr1          0.877551      0.903083       0.954314  -0.773742  0.861824   \n",
       "Zscan12        0.684466      0.778275       0.846537  -0.405382  0.658838   \n",
       "Zscan2         0.927083      0.953498       0.937511  -0.982271  0.893914   \n",
       "Zscan21        0.444444      0.620347       0.677943  -0.139879  0.420560   \n",
       "Zswim4         0.714953      0.845614       0.808497  -0.598020  0.683676   \n",
       "Zswim6         0.365079      0.748059       0.436347  -0.133447  0.326413   \n",
       "Zswim7         0.282297      0.479760       0.533234   0.276451  0.255824   \n",
       "Zwilch         0.702830      0.825247       0.778985  -0.451275  0.642855   \n",
       "Zwint          0.042654      0.114320       0.123279   0.765976  0.014093   \n",
       "Zxdc           0.463918      0.650493       0.686535  -0.126434  0.446586   \n",
       "Zyx            0.008929      0.015142       0.085752   1.247776  0.001298   \n",
       "\n",
       "               p_biallelic  p_mono_cast  p_mono_c57  mean_expr_cast  \\\n",
       "0610007P14Rik     0.532094     0.189317    0.205479        0.334126   \n",
       "0610009B22Rik     0.674272     0.138348    0.155479        0.578412   \n",
       "0610009O20Rik     0.079997     0.200151    0.205556       -0.323623   \n",
       "0610010F05Rik     0.113437     0.197797    0.251038       -0.219126   \n",
       "0610012G03Rik     0.192454     0.432198    0.115644        0.908485   \n",
       "0610031J06Rik     0.973812     0.019618    0.006441        1.168134   \n",
       "1110002L01Rik     0.002328     0.020384    0.100186       -1.467361   \n",
       "1110007C09Rik     0.500881     0.230265    0.184181        0.613847   \n",
       "1110037F02Rik     0.507726     0.206691    0.202960        0.414360   \n",
       "1110038B12Rik     0.695606     0.103322    0.175069        0.509166   \n",
       "1110038F14Rik     0.333940     0.274710    0.214717        0.210696   \n",
       "1110051M20Rik     0.171418     0.225734    0.260200        0.034080   \n",
       "1110057K04Rik     0.204762     0.242013    0.253549       -0.014652   \n",
       "1110058L19Rik     0.689911     0.145957    0.135471        0.644430   \n",
       "1110059E24Rik     0.251489     0.252970    0.247043        0.063107   \n",
       "1110059G10Rik     0.020971     0.103207    0.147909       -0.468688   \n",
       "1190002N15Rik     0.090798     0.274925    0.157472       -0.169142   \n",
       "1300002E11Rik     0.156861     0.223803    0.255212       -0.128869   \n",
       "1500009L16Rik     0.039277     0.214145    0.115710       -0.150112   \n",
       "1500011B03Rik     0.245808     0.360801    0.159408        0.291800   \n",
       "1500012F01Rik     0.368794     0.250838    0.226388        0.353894   \n",
       "1500015A07Rik     0.005849     0.070663    0.070599       -0.854991   \n",
       "1600012H06Rik     0.196913     0.225636    0.269099        0.080976   \n",
       "1700001G11Rik     0.001302     0.034887    0.034684       -1.303000   \n",
       "1700003M07Rik     0.000571     0.023349    0.023294       -1.206203   \n",
       "1700012B09Rik     0.001302     0.034402    0.035164       -1.308855   \n",
       "1700017B05Rik     0.126687     0.160591    0.314305       -0.090379   \n",
       "1700020I14Rik     0.404779     0.108370    0.384035        0.185984   \n",
       "1700021K19Rik     0.149153     0.229644    0.244601       -0.075025   \n",
       "1700025G04Rik     0.101925     0.248604    0.188849       -0.085342   \n",
       "...                    ...          ...         ...             ...   \n",
       "Zik1              0.002955     0.073913    0.035487       -0.886700   \n",
       "Zkscan14          0.003033     0.052014    0.052058       -1.059703   \n",
       "Zmat2             0.084388     0.251452    0.166886        0.338567   \n",
       "Zmat3             0.494305     0.236815    0.181788        0.438776   \n",
       "Zmpste24          0.582332     0.148451    0.214528        0.444329   \n",
       "Zmym1             0.021283     0.114879    0.135022       -0.644738   \n",
       "Zmym2             0.076181     0.216064    0.184495       -0.316907   \n",
       "Zmym4             0.047446     0.145931    0.197908       -0.236089   \n",
       "Zmynd8            0.309369     0.245738    0.247945        0.255024   \n",
       "Znfx1             0.139817     0.284708    0.189532        0.235288   \n",
       "Znhit1            0.622368     0.142036    0.191819        0.581375   \n",
       "Znhit3            0.220567     0.259846    0.238552        0.136062   \n",
       "Znhit6            0.413323     0.217408    0.241985        0.282123   \n",
       "Znrd1             0.302067     0.287427    0.210350        0.196691   \n",
       "Znrd1as           0.045268     0.188602    0.148293       -0.148939   \n",
       "Znrf1             0.181894     0.188785    0.308811       -0.129001   \n",
       "Znrf2             0.019434     0.080522    0.174994       -0.838632   \n",
       "Zranb1            0.019610     0.130470    0.111052       -0.468688   \n",
       "Zranb2            0.443557     0.221825    0.223063        0.423876   \n",
       "Zrsr1             0.004428     0.041259    0.092489       -0.930528   \n",
       "Zscan12           0.034027     0.119437    0.187698       -0.573505   \n",
       "Zscan2            0.002906     0.059584    0.043596       -0.903090   \n",
       "Zscan21           0.122270     0.199787    0.257383       -0.090661   \n",
       "Zswim4            0.029565     0.161937    0.124821       -0.473081   \n",
       "Zswim6            0.142008     0.421646    0.109934        0.298726   \n",
       "Zswim7            0.242831     0.223936    0.277410        0.142252   \n",
       "Zwilch            0.038623     0.182392    0.136130       -0.301030   \n",
       "Zwint             0.776494     0.100227    0.109185        0.774015   \n",
       "Zxdc              0.109558     0.203907    0.239949       -0.144787   \n",
       "Zyx               0.900405     0.013844    0.084453        0.774908   \n",
       "\n",
       "               pois_mono_c57  \n",
       "0610007P14Rik   1.046772e-01  \n",
       "0610009B22Rik   2.217511e-02  \n",
       "0610009O20Rik   2.333040e-01  \n",
       "0610010F05Rik   2.629299e-01  \n",
       "0610012G03Rik   2.917696e-04  \n",
       "0610031J06Rik   4.016477e-07  \n",
       "1110002L01Rik   1.560836e-01  \n",
       "1110007C09Rik   1.554186e-02  \n",
       "1110037F02Rik   6.845549e-02  \n",
       "1110038B12Rik   3.917721e-02  \n",
       "1110038F14Rik   1.549822e-01  \n",
       "1110051M20Rik   2.286897e-01  \n",
       "1110057K04Rik   2.220423e-01  \n",
       "1110058L19Rik   1.186584e-02  \n",
       "1110059E24Rik   2.088428e-01  \n",
       "1110059G10Rik   2.116950e-01  \n",
       "1190002N15Rik   1.800788e-01  \n",
       "1300002E11Rik   2.651298e-01  \n",
       "1500009L16Rik   1.265420e-01  \n",
       "1500011B03Rik   9.018432e-02  \n",
       "1500012F01Rik   9.344235e-02  \n",
       "1500015A07Rik   9.262287e-02  \n",
       "1600012H06Rik   2.338593e-01  \n",
       "1700001G11Rik   5.028461e-02  \n",
       "1700003M07Rik   8.575436e-02  \n",
       "1700012B09Rik   5.368179e-02  \n",
       "1700017B05Rik   3.421259e-01  \n",
       "1700020I14Rik   2.074855e-01  \n",
       "1700021K19Rik   2.505420e-01  \n",
       "1700025G04Rik   1.917390e-01  \n",
       "...                      ...  \n",
       "Zik1            7.667096e-02  \n",
       "Zkscan14        9.177225e-02  \n",
       "Zmat2           1.051286e-01  \n",
       "Zmat3           6.067770e-02  \n",
       "Zmpste24        5.955721e-02  \n",
       "Zmym1           1.981320e-01  \n",
       "Zmym2           2.181780e-01  \n",
       "Zmym4           3.032074e-01  \n",
       "Zmynd8          1.375189e-01  \n",
       "Znfx1           1.142345e-01  \n",
       "Znhit1          2.138995e-02  \n",
       "Znhit3          1.813358e-01  \n",
       "Znhit6          1.309248e-01  \n",
       "Znrd1           1.456543e-01  \n",
       "Znrd1as         2.774909e-01  \n",
       "Znrf1           3.403415e-01  \n",
       "Znrf2           2.645267e-01  \n",
       "Zranb1          1.492504e-01  \n",
       "Zranb2          6.453902e-02  \n",
       "Zrsr1           1.377993e-01  \n",
       "Zscan12         2.489295e-01  \n",
       "Zscan2          8.730091e-02  \n",
       "Zscan21         2.289590e-01  \n",
       "Zswim4          1.593014e-01  \n",
       "Zswim6          7.122013e-02  \n",
       "Zswim7          2.119618e-01  \n",
       "Zwilch          1.807256e-01  \n",
       "Zwint           2.616132e-03  \n",
       "Zxdc            2.571331e-01  \n",
       "Zyx             2.591918e-03  \n",
       "\n",
       "[4918 rows x 15 columns]"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "expr_df['n_mono_c57'] = ((UMI==0)*(UMI_cast>0)).sum(axis=1).reindex(expr_df.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0610007P14Rik      3\n",
       "0610009B22Rik      7\n",
       "0610009O20Rik      7\n",
       "0610010F05Rik     12\n",
       "0610012G03Rik    204\n",
       "0610031J06Rik      0\n",
       "1110002L01Rik     48\n",
       "1110007C09Rik     15\n",
       "1110037F02Rik      6\n",
       "1110038B12Rik      2\n",
       "1110038F14Rik     11\n",
       "1110051M20Rik     28\n",
       "1110057K04Rik     13\n",
       "1110058L19Rik      2\n",
       "1110059E24Rik     13\n",
       "1110059G10Rik     71\n",
       "1190002N15Rik      7\n",
       "1300002E11Rik      2\n",
       "1500009L16Rik      5\n",
       "1500011B03Rik     10\n",
       "1500012F01Rik     27\n",
       "1500015A07Rik      2\n",
       "1600012H06Rik     63\n",
       "1700001G11Rik      3\n",
       "1700003M07Rik     15\n",
       "1700012B09Rik      0\n",
       "1700017B05Rik     59\n",
       "1700020I14Rik      7\n",
       "1700021K19Rik     16\n",
       "1700025G04Rik     11\n",
       "                ... \n",
       "Zik1              16\n",
       "Zkscan14           6\n",
       "Zmat2            152\n",
       "Zmat3             11\n",
       "Zmpste24           4\n",
       "Zmym1             21\n",
       "Zmym2             29\n",
       "Zmym4             69\n",
       "Zmynd8            30\n",
       "Znfx1             14\n",
       "Znhit1             9\n",
       "Znhit3            12\n",
       "Znhit6             1\n",
       "Znrd1             25\n",
       "Znrd1as          100\n",
       "Znrf1             45\n",
       "Znrf2             24\n",
       "Zranb1            71\n",
       "Zranb2            42\n",
       "Zrsr1             28\n",
       "Zscan12           18\n",
       "Zscan2            32\n",
       "Zscan21           17\n",
       "Zswim4            10\n",
       "Zswim6            35\n",
       "Zswim7            15\n",
       "Zwilch            12\n",
       "Zwint             13\n",
       "Zxdc              30\n",
       "Zyx                0\n",
       "Length: 4918, dtype: int64"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "UMI.isnull().sum(axis=1).reindex(expr_df.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>silent_c57</th>\n",
       "      <th>silent_cast</th>\n",
       "      <th>biallelic</th>\n",
       "      <th>mono_cast</th>\n",
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       "      <th>pois_mono_c57</th>\n",
       "      <th>n_mono_c57</th>\n",
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       "    <tr>\n",
       "      <th>0610007P14Rik</th>\n",
       "      <td>0.262443</td>\n",
       "      <td>0.280543</td>\n",
       "      <td>0.542986</td>\n",
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       "      <td>0.532094</td>\n",
       "      <td>0.189317</td>\n",
       "      <td>0.205479</td>\n",
       "      <td>0.334126</td>\n",
       "      <td>1.046772e-01</td>\n",
       "      <td>39</td>\n",
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       "    <tr>\n",
       "      <th>0610009B22Rik</th>\n",
       "      <td>0.193548</td>\n",
       "      <td>0.216590</td>\n",
       "      <td>0.635945</td>\n",
       "      <td>0.147465</td>\n",
       "      <td>0.170507</td>\n",
       "      <td>0.046083</td>\n",
       "      <td>0.170249</td>\n",
       "      <td>0.187380</td>\n",
       "      <td>0.589368</td>\n",
       "      <td>0.031901</td>\n",
       "      <td>0.674272</td>\n",
       "      <td>0.138348</td>\n",
       "      <td>0.155479</td>\n",
       "      <td>0.578412</td>\n",
       "      <td>2.217511e-02</td>\n",
       "      <td>32</td>\n",
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       "      <th>0610009O20Rik</th>\n",
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       "      <td>0.142857</td>\n",
       "      <td>0.138249</td>\n",
       "      <td>0.142857</td>\n",
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       "      <td>-0.327860</td>\n",
       "      <td>0.514296</td>\n",
       "      <td>0.079997</td>\n",
       "      <td>0.200151</td>\n",
       "      <td>0.205556</td>\n",
       "      <td>-0.323623</td>\n",
       "      <td>2.333040e-01</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0610010F05Rik</th>\n",
       "      <td>0.632075</td>\n",
       "      <td>0.679245</td>\n",
       "      <td>0.183962</td>\n",
       "      <td>0.136792</td>\n",
       "      <td>0.183962</td>\n",
       "      <td>0.495283</td>\n",
       "      <td>0.635525</td>\n",
       "      <td>0.688765</td>\n",
       "      <td>-0.183321</td>\n",
       "      <td>0.437727</td>\n",
       "      <td>0.113437</td>\n",
       "      <td>0.197797</td>\n",
       "      <td>0.251038</td>\n",
       "      <td>-0.219126</td>\n",
       "      <td>2.629299e-01</td>\n",
       "      <td>29</td>\n",
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       "    <tr>\n",
       "      <th>0610012G03Rik</th>\n",
       "      <td>0.700000</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.150000</td>\n",
       "      <td>0.450000</td>\n",
       "      <td>0.150000</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.691902</td>\n",
       "      <td>0.375348</td>\n",
       "      <td>0.511883</td>\n",
       "      <td>0.259704</td>\n",
       "      <td>0.192454</td>\n",
       "      <td>0.432198</td>\n",
       "      <td>0.115644</td>\n",
       "      <td>0.908485</td>\n",
       "      <td>2.917696e-04</td>\n",
       "      <td>9</td>\n",
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       "    <tr>\n",
       "      <th>0610031J06Rik</th>\n",
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       "      <td>0.026786</td>\n",
       "      <td>0.022321</td>\n",
       "      <td>0.004464</td>\n",
       "      <td>0.019748</td>\n",
       "      <td>0.006571</td>\n",
       "      <td>1.054415</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.973812</td>\n",
       "      <td>0.019618</td>\n",
       "      <td>0.006441</td>\n",
       "      <td>1.168134</td>\n",
       "      <td>4.016477e-07</td>\n",
       "      <td>6</td>\n",
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       "    <tr>\n",
       "      <th>1110002L01Rik</th>\n",
       "      <td>0.897727</td>\n",
       "      <td>0.977273</td>\n",
       "      <td>0.017045</td>\n",
       "      <td>0.005682</td>\n",
       "      <td>0.085227</td>\n",
       "      <td>0.892045</td>\n",
       "      <td>0.897486</td>\n",
       "      <td>0.977287</td>\n",
       "      <td>-0.754151</td>\n",
       "      <td>0.877102</td>\n",
       "      <td>0.002328</td>\n",
       "      <td>0.020384</td>\n",
       "      <td>0.100186</td>\n",
       "      <td>-1.467361</td>\n",
       "      <td>1.560836e-01</td>\n",
       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>1110007C09Rik</th>\n",
       "      <td>0.334928</td>\n",
       "      <td>0.282297</td>\n",
       "      <td>0.444976</td>\n",
       "      <td>0.272727</td>\n",
       "      <td>0.220096</td>\n",
       "      <td>0.062201</td>\n",
       "      <td>0.314937</td>\n",
       "      <td>0.268853</td>\n",
       "      <td>0.468729</td>\n",
       "      <td>0.084672</td>\n",
       "      <td>0.500881</td>\n",
       "      <td>0.230265</td>\n",
       "      <td>0.184181</td>\n",
       "      <td>0.613847</td>\n",
       "      <td>1.554186e-02</td>\n",
       "      <td>57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110037F02Rik</th>\n",
       "      <td>0.302752</td>\n",
       "      <td>0.288991</td>\n",
       "      <td>0.509174</td>\n",
       "      <td>0.201835</td>\n",
       "      <td>0.188073</td>\n",
       "      <td>0.100917</td>\n",
       "      <td>0.289314</td>\n",
       "      <td>0.285583</td>\n",
       "      <td>0.398736</td>\n",
       "      <td>0.082623</td>\n",
       "      <td>0.507726</td>\n",
       "      <td>0.206691</td>\n",
       "      <td>0.202960</td>\n",
       "      <td>0.414360</td>\n",
       "      <td>6.845549e-02</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110038B12Rik</th>\n",
       "      <td>0.117117</td>\n",
       "      <td>0.198198</td>\n",
       "      <td>0.698198</td>\n",
       "      <td>0.103604</td>\n",
       "      <td>0.184685</td>\n",
       "      <td>0.013514</td>\n",
       "      <td>0.129326</td>\n",
       "      <td>0.201072</td>\n",
       "      <td>0.664371</td>\n",
       "      <td>0.026004</td>\n",
       "      <td>0.695606</td>\n",
       "      <td>0.103322</td>\n",
       "      <td>0.175069</td>\n",
       "      <td>0.509166</td>\n",
       "      <td>3.917721e-02</td>\n",
       "      <td>23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110038F14Rik</th>\n",
       "      <td>0.436620</td>\n",
       "      <td>0.389671</td>\n",
       "      <td>0.352113</td>\n",
       "      <td>0.258216</td>\n",
       "      <td>0.211268</td>\n",
       "      <td>0.178404</td>\n",
       "      <td>0.451343</td>\n",
       "      <td>0.391351</td>\n",
       "      <td>0.188816</td>\n",
       "      <td>0.176634</td>\n",
       "      <td>0.333940</td>\n",
       "      <td>0.274710</td>\n",
       "      <td>0.214717</td>\n",
       "      <td>0.210696</td>\n",
       "      <td>1.549822e-01</td>\n",
       "      <td>55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110051M20Rik</th>\n",
       "      <td>0.576531</td>\n",
       "      <td>0.607143</td>\n",
       "      <td>0.193878</td>\n",
       "      <td>0.198980</td>\n",
       "      <td>0.229592</td>\n",
       "      <td>0.377551</td>\n",
       "      <td>0.568383</td>\n",
       "      <td>0.602848</td>\n",
       "      <td>0.050167</td>\n",
       "      <td>0.342648</td>\n",
       "      <td>0.171418</td>\n",
       "      <td>0.225734</td>\n",
       "      <td>0.260200</td>\n",
       "      <td>0.034080</td>\n",
       "      <td>2.286897e-01</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110057K04Rik</th>\n",
       "      <td>0.540284</td>\n",
       "      <td>0.545024</td>\n",
       "      <td>0.213270</td>\n",
       "      <td>0.241706</td>\n",
       "      <td>0.246445</td>\n",
       "      <td>0.298578</td>\n",
       "      <td>0.541689</td>\n",
       "      <td>0.553224</td>\n",
       "      <td>-0.057111</td>\n",
       "      <td>0.299676</td>\n",
       "      <td>0.204762</td>\n",
       "      <td>0.242013</td>\n",
       "      <td>0.253549</td>\n",
       "      <td>-0.014652</td>\n",
       "      <td>2.220423e-01</td>\n",
       "      <td>51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110058L19Rik</th>\n",
       "      <td>0.189189</td>\n",
       "      <td>0.166667</td>\n",
       "      <td>0.680180</td>\n",
       "      <td>0.153153</td>\n",
       "      <td>0.130631</td>\n",
       "      <td>0.036036</td>\n",
       "      <td>0.174618</td>\n",
       "      <td>0.164132</td>\n",
       "      <td>0.572202</td>\n",
       "      <td>0.028660</td>\n",
       "      <td>0.689911</td>\n",
       "      <td>0.145957</td>\n",
       "      <td>0.135471</td>\n",
       "      <td>0.644430</td>\n",
       "      <td>1.186584e-02</td>\n",
       "      <td>34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110059E24Rik</th>\n",
       "      <td>0.502370</td>\n",
       "      <td>0.478673</td>\n",
       "      <td>0.317536</td>\n",
       "      <td>0.203791</td>\n",
       "      <td>0.180095</td>\n",
       "      <td>0.298578</td>\n",
       "      <td>0.501468</td>\n",
       "      <td>0.495541</td>\n",
       "      <td>0.037445</td>\n",
       "      <td>0.248498</td>\n",
       "      <td>0.251489</td>\n",
       "      <td>0.252970</td>\n",
       "      <td>0.247043</td>\n",
       "      <td>0.063107</td>\n",
       "      <td>2.088428e-01</td>\n",
       "      <td>43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1110059G10Rik</th>\n",
       "      <td>0.830065</td>\n",
       "      <td>0.875817</td>\n",
       "      <td>0.026144</td>\n",
       "      <td>0.098039</td>\n",
       "      <td>0.143791</td>\n",
       "      <td>0.732026</td>\n",
       "      <td>0.831120</td>\n",
       "      <td>0.875822</td>\n",
       "      <td>-0.452298</td>\n",
       "      <td>0.727913</td>\n",
       "      <td>0.020971</td>\n",
       "      <td>0.103207</td>\n",
       "      <td>0.147909</td>\n",
       "      <td>-0.468688</td>\n",
       "      <td>2.116950e-01</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1190002N15Rik</th>\n",
       "      <td>0.746544</td>\n",
       "      <td>0.626728</td>\n",
       "      <td>0.110599</td>\n",
       "      <td>0.262673</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>0.483871</td>\n",
       "      <td>0.751730</td>\n",
       "      <td>0.634277</td>\n",
       "      <td>-0.358736</td>\n",
       "      <td>0.476805</td>\n",
       "      <td>0.090798</td>\n",
       "      <td>0.274925</td>\n",
       "      <td>0.157472</td>\n",
       "      <td>-0.169142</td>\n",
       "      <td>1.800788e-01</td>\n",
       "      <td>57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1300002E11Rik</th>\n",
       "      <td>0.585586</td>\n",
       "      <td>0.617117</td>\n",
       "      <td>0.225225</td>\n",
       "      <td>0.157658</td>\n",
       "      <td>0.189189</td>\n",
       "      <td>0.427928</td>\n",
       "      <td>0.587927</td>\n",
       "      <td>0.619336</td>\n",
       "      <td>-0.088674</td>\n",
       "      <td>0.364124</td>\n",
       "      <td>0.156861</td>\n",
       "      <td>0.223803</td>\n",
       "      <td>0.255212</td>\n",
       "      <td>-0.128869</td>\n",
       "      <td>2.651298e-01</td>\n",
       "      <td>35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500009L16Rik</th>\n",
       "      <td>0.844749</td>\n",
       "      <td>0.744292</td>\n",
       "      <td>0.091324</td>\n",
       "      <td>0.164384</td>\n",
       "      <td>0.063927</td>\n",
       "      <td>0.680365</td>\n",
       "      <td>0.845012</td>\n",
       "      <td>0.746578</td>\n",
       "      <td>-0.527531</td>\n",
       "      <td>0.630867</td>\n",
       "      <td>0.039277</td>\n",
       "      <td>0.214145</td>\n",
       "      <td>0.115710</td>\n",
       "      <td>-0.150112</td>\n",
       "      <td>1.265420e-01</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500011B03Rik</th>\n",
       "      <td>0.593458</td>\n",
       "      <td>0.406542</td>\n",
       "      <td>0.224299</td>\n",
       "      <td>0.369159</td>\n",
       "      <td>0.182243</td>\n",
       "      <td>0.224299</td>\n",
       "      <td>0.594783</td>\n",
       "      <td>0.393390</td>\n",
       "      <td>0.008043</td>\n",
       "      <td>0.233982</td>\n",
       "      <td>0.245808</td>\n",
       "      <td>0.360801</td>\n",
       "      <td>0.159408</td>\n",
       "      <td>0.291800</td>\n",
       "      <td>9.018432e-02</td>\n",
       "      <td>79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500012F01Rik</th>\n",
       "      <td>0.406091</td>\n",
       "      <td>0.380711</td>\n",
       "      <td>0.390863</td>\n",
       "      <td>0.228426</td>\n",
       "      <td>0.203046</td>\n",
       "      <td>0.177665</td>\n",
       "      <td>0.404818</td>\n",
       "      <td>0.380367</td>\n",
       "      <td>0.351938</td>\n",
       "      <td>0.153979</td>\n",
       "      <td>0.368794</td>\n",
       "      <td>0.250838</td>\n",
       "      <td>0.226388</td>\n",
       "      <td>0.353894</td>\n",
       "      <td>9.344235e-02</td>\n",
       "      <td>45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1500015A07Rik</th>\n",
       "      <td>0.923423</td>\n",
       "      <td>0.923423</td>\n",
       "      <td>0.027027</td>\n",
       "      <td>0.049550</td>\n",
       "      <td>0.049550</td>\n",
       "      <td>0.873874</td>\n",
       "      <td>0.923552</td>\n",
       "      <td>0.923487</td>\n",
       "      <td>-0.948413</td>\n",
       "      <td>0.852889</td>\n",
       "      <td>0.005849</td>\n",
       "      <td>0.070663</td>\n",
       "      <td>0.070599</td>\n",
       "      <td>-0.854991</td>\n",
       "      <td>9.262287e-02</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1600012H06Rik</th>\n",
       "      <td>0.540373</td>\n",
       "      <td>0.577640</td>\n",
       "      <td>0.167702</td>\n",
       "      <td>0.254658</td>\n",
       "      <td>0.291925</td>\n",
       "      <td>0.285714</td>\n",
       "      <td>0.533988</td>\n",
       "      <td>0.577451</td>\n",
       "      <td>0.180564</td>\n",
       "      <td>0.308352</td>\n",
       "      <td>0.196913</td>\n",
       "      <td>0.225636</td>\n",
       "      <td>0.269099</td>\n",
       "      <td>0.080976</td>\n",
       "      <td>2.338593e-01</td>\n",
       "      <td>41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700001G11Rik</th>\n",
       "      <td>0.963801</td>\n",
       "      <td>0.963801</td>\n",
       "      <td>0.018100</td>\n",
       "      <td>0.018100</td>\n",
       "      <td>0.018100</td>\n",
       "      <td>0.945701</td>\n",
       "      <td>0.964014</td>\n",
       "      <td>0.963811</td>\n",
       "      <td>-1.265211</td>\n",
       "      <td>0.929127</td>\n",
       "      <td>0.001302</td>\n",
       "      <td>0.034887</td>\n",
       "      <td>0.034684</td>\n",
       "      <td>-1.303000</td>\n",
       "      <td>5.028461e-02</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700003M07Rik</th>\n",
       "      <td>0.976077</td>\n",
       "      <td>0.976077</td>\n",
       "      <td>0.014354</td>\n",
       "      <td>0.009569</td>\n",
       "      <td>0.009569</td>\n",
       "      <td>0.966507</td>\n",
       "      <td>0.976135</td>\n",
       "      <td>0.976080</td>\n",
       "      <td>-1.019116</td>\n",
       "      <td>0.952786</td>\n",
       "      <td>0.000571</td>\n",
       "      <td>0.023349</td>\n",
       "      <td>0.023294</td>\n",
       "      <td>-1.206203</td>\n",
       "      <td>8.575436e-02</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700012B09Rik</th>\n",
       "      <td>0.964286</td>\n",
       "      <td>0.964286</td>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.946429</td>\n",
       "      <td>0.963534</td>\n",
       "      <td>0.964296</td>\n",
       "      <td>-1.236305</td>\n",
       "      <td>0.929132</td>\n",
       "      <td>0.001302</td>\n",
       "      <td>0.034402</td>\n",
       "      <td>0.035164</td>\n",
       "      <td>-1.308855</td>\n",
       "      <td>5.368179e-02</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700017B05Rik</th>\n",
       "      <td>0.563636</td>\n",
       "      <td>0.715152</td>\n",
       "      <td>0.145455</td>\n",
       "      <td>0.139394</td>\n",
       "      <td>0.290909</td>\n",
       "      <td>0.424242</td>\n",
       "      <td>0.559007</td>\n",
       "      <td>0.712722</td>\n",
       "      <td>0.168122</td>\n",
       "      <td>0.398417</td>\n",
       "      <td>0.126687</td>\n",
       "      <td>0.160591</td>\n",
       "      <td>0.314305</td>\n",
       "      <td>-0.090379</td>\n",
       "      <td>3.421259e-01</td>\n",
       "      <td>23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700020I14Rik</th>\n",
       "      <td>0.225806</td>\n",
       "      <td>0.488479</td>\n",
       "      <td>0.400922</td>\n",
       "      <td>0.110599</td>\n",
       "      <td>0.373272</td>\n",
       "      <td>0.115207</td>\n",
       "      <td>0.211185</td>\n",
       "      <td>0.486851</td>\n",
       "      <td>0.516630</td>\n",
       "      <td>0.102816</td>\n",
       "      <td>0.404779</td>\n",
       "      <td>0.108370</td>\n",
       "      <td>0.384035</td>\n",
       "      <td>0.185984</td>\n",
       "      <td>2.074855e-01</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700021K19Rik</th>\n",
       "      <td>0.605769</td>\n",
       "      <td>0.620192</td>\n",
       "      <td>0.187500</td>\n",
       "      <td>0.192308</td>\n",
       "      <td>0.206731</td>\n",
       "      <td>0.413462</td>\n",
       "      <td>0.606246</td>\n",
       "      <td>0.621203</td>\n",
       "      <td>-0.060385</td>\n",
       "      <td>0.376602</td>\n",
       "      <td>0.149153</td>\n",
       "      <td>0.229644</td>\n",
       "      <td>0.244601</td>\n",
       "      <td>-0.075025</td>\n",
       "      <td>2.505420e-01</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1700025G04Rik</th>\n",
       "      <td>0.699531</td>\n",
       "      <td>0.647887</td>\n",
       "      <td>0.136150</td>\n",
       "      <td>0.215962</td>\n",
       "      <td>0.164319</td>\n",
       "      <td>0.483568</td>\n",
       "      <td>0.709226</td>\n",
       "      <td>0.649471</td>\n",
       "      <td>-0.242020</td>\n",
       "      <td>0.460622</td>\n",
       "      <td>0.101925</td>\n",
       "      <td>0.248604</td>\n",
       "      <td>0.188849</td>\n",
       "      <td>-0.085342</td>\n",
       "      <td>1.917390e-01</td>\n",
       "      <td>46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zik1</th>\n",
       "      <td>0.961538</td>\n",
       "      <td>0.923077</td>\n",
       "      <td>0.014423</td>\n",
       "      <td>0.062500</td>\n",
       "      <td>0.024038</td>\n",
       "      <td>0.899038</td>\n",
       "      <td>0.961558</td>\n",
       "      <td>0.923132</td>\n",
       "      <td>-1.039310</td>\n",
       "      <td>0.887645</td>\n",
       "      <td>0.002955</td>\n",
       "      <td>0.073913</td>\n",
       "      <td>0.035487</td>\n",
       "      <td>-0.886700</td>\n",
       "      <td>7.667096e-02</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zkscan14</th>\n",
       "      <td>0.944954</td>\n",
       "      <td>0.944954</td>\n",
       "      <td>0.018349</td>\n",
       "      <td>0.036697</td>\n",
       "      <td>0.036697</td>\n",
       "      <td>0.908257</td>\n",
       "      <td>0.944909</td>\n",
       "      <td>0.944953</td>\n",
       "      <td>-0.976729</td>\n",
       "      <td>0.892895</td>\n",
       "      <td>0.003033</td>\n",
       "      <td>0.052014</td>\n",
       "      <td>0.052058</td>\n",
       "      <td>-1.059703</td>\n",
       "      <td>9.177225e-02</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmat2</th>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.027778</td>\n",
       "      <td>0.305556</td>\n",
       "      <td>0.222222</td>\n",
       "      <td>0.444444</td>\n",
       "      <td>0.748726</td>\n",
       "      <td>0.664160</td>\n",
       "      <td>0.425969</td>\n",
       "      <td>0.497274</td>\n",
       "      <td>0.084388</td>\n",
       "      <td>0.251452</td>\n",
       "      <td>0.166886</td>\n",
       "      <td>0.338567</td>\n",
       "      <td>1.051286e-01</td>\n",
       "      <td>22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmat3</th>\n",
       "      <td>0.328638</td>\n",
       "      <td>0.272300</td>\n",
       "      <td>0.492958</td>\n",
       "      <td>0.234742</td>\n",
       "      <td>0.178404</td>\n",
       "      <td>0.093897</td>\n",
       "      <td>0.323907</td>\n",
       "      <td>0.268880</td>\n",
       "      <td>0.464712</td>\n",
       "      <td>0.087092</td>\n",
       "      <td>0.494305</td>\n",
       "      <td>0.236815</td>\n",
       "      <td>0.181788</td>\n",
       "      <td>0.438776</td>\n",
       "      <td>6.067770e-02</td>\n",
       "      <td>50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmpste24</th>\n",
       "      <td>0.195455</td>\n",
       "      <td>0.286364</td>\n",
       "      <td>0.581818</td>\n",
       "      <td>0.131818</td>\n",
       "      <td>0.222727</td>\n",
       "      <td>0.063636</td>\n",
       "      <td>0.203140</td>\n",
       "      <td>0.269217</td>\n",
       "      <td>0.513702</td>\n",
       "      <td>0.054689</td>\n",
       "      <td>0.582332</td>\n",
       "      <td>0.148451</td>\n",
       "      <td>0.214528</td>\n",
       "      <td>0.444329</td>\n",
       "      <td>5.955721e-02</td>\n",
       "      <td>29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmym1</th>\n",
       "      <td>0.842365</td>\n",
       "      <td>0.862069</td>\n",
       "      <td>0.049261</td>\n",
       "      <td>0.088670</td>\n",
       "      <td>0.108374</td>\n",
       "      <td>0.753695</td>\n",
       "      <td>0.843696</td>\n",
       "      <td>0.863839</td>\n",
       "      <td>-0.544068</td>\n",
       "      <td>0.728817</td>\n",
       "      <td>0.021283</td>\n",
       "      <td>0.114879</td>\n",
       "      <td>0.135022</td>\n",
       "      <td>-0.644738</td>\n",
       "      <td>1.981320e-01</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmym2</th>\n",
       "      <td>0.738462</td>\n",
       "      <td>0.707692</td>\n",
       "      <td>0.123077</td>\n",
       "      <td>0.169231</td>\n",
       "      <td>0.138462</td>\n",
       "      <td>0.569231</td>\n",
       "      <td>0.739324</td>\n",
       "      <td>0.707755</td>\n",
       "      <td>-0.360616</td>\n",
       "      <td>0.523261</td>\n",
       "      <td>0.076181</td>\n",
       "      <td>0.216064</td>\n",
       "      <td>0.184495</td>\n",
       "      <td>-0.316907</td>\n",
       "      <td>2.181780e-01</td>\n",
       "      <td>33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmym4</th>\n",
       "      <td>0.754839</td>\n",
       "      <td>0.806452</td>\n",
       "      <td>0.045161</td>\n",
       "      <td>0.148387</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.606452</td>\n",
       "      <td>0.754646</td>\n",
       "      <td>0.806624</td>\n",
       "      <td>-0.107546</td>\n",
       "      <td>0.608716</td>\n",
       "      <td>0.047446</td>\n",
       "      <td>0.145931</td>\n",
       "      <td>0.197908</td>\n",
       "      <td>-0.236089</td>\n",
       "      <td>3.032074e-01</td>\n",
       "      <td>23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zmynd8</th>\n",
       "      <td>0.438144</td>\n",
       "      <td>0.443299</td>\n",
       "      <td>0.314433</td>\n",
       "      <td>0.242268</td>\n",
       "      <td>0.247423</td>\n",
       "      <td>0.195876</td>\n",
       "      <td>0.442686</td>\n",
       "      <td>0.444893</td>\n",
       "      <td>0.250017</td>\n",
       "      <td>0.196948</td>\n",
       "      <td>0.309369</td>\n",
       "      <td>0.245738</td>\n",
       "      <td>0.247945</td>\n",
       "      <td>0.255024</td>\n",
       "      <td>1.375189e-01</td>\n",
       "      <td>47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znfx1</th>\n",
       "      <td>0.671429</td>\n",
       "      <td>0.585714</td>\n",
       "      <td>0.161905</td>\n",
       "      <td>0.252381</td>\n",
       "      <td>0.166667</td>\n",
       "      <td>0.419048</td>\n",
       "      <td>0.670650</td>\n",
       "      <td>0.575474</td>\n",
       "      <td>0.006160</td>\n",
       "      <td>0.385942</td>\n",
       "      <td>0.139817</td>\n",
       "      <td>0.284708</td>\n",
       "      <td>0.189532</td>\n",
       "      <td>0.235288</td>\n",
       "      <td>1.142345e-01</td>\n",
       "      <td>53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znhit1</th>\n",
       "      <td>0.213953</td>\n",
       "      <td>0.232558</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.167442</td>\n",
       "      <td>0.186047</td>\n",
       "      <td>0.046512</td>\n",
       "      <td>0.185812</td>\n",
       "      <td>0.235596</td>\n",
       "      <td>0.543201</td>\n",
       "      <td>0.043777</td>\n",
       "      <td>0.622368</td>\n",
       "      <td>0.142036</td>\n",
       "      <td>0.191819</td>\n",
       "      <td>0.581375</td>\n",
       "      <td>2.138995e-02</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znhit3</th>\n",
       "      <td>0.542453</td>\n",
       "      <td>0.523585</td>\n",
       "      <td>0.259434</td>\n",
       "      <td>0.216981</td>\n",
       "      <td>0.198113</td>\n",
       "      <td>0.325472</td>\n",
       "      <td>0.540880</td>\n",
       "      <td>0.519587</td>\n",
       "      <td>0.095268</td>\n",
       "      <td>0.281034</td>\n",
       "      <td>0.220567</td>\n",
       "      <td>0.259846</td>\n",
       "      <td>0.238552</td>\n",
       "      <td>0.136062</td>\n",
       "      <td>1.813358e-01</td>\n",
       "      <td>46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znhit6</th>\n",
       "      <td>0.354260</td>\n",
       "      <td>0.372197</td>\n",
       "      <td>0.430493</td>\n",
       "      <td>0.197309</td>\n",
       "      <td>0.215247</td>\n",
       "      <td>0.156951</td>\n",
       "      <td>0.344692</td>\n",
       "      <td>0.369270</td>\n",
       "      <td>0.341004</td>\n",
       "      <td>0.127284</td>\n",
       "      <td>0.413323</td>\n",
       "      <td>0.217408</td>\n",
       "      <td>0.241985</td>\n",
       "      <td>0.282123</td>\n",
       "      <td>1.309248e-01</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrd1</th>\n",
       "      <td>0.487437</td>\n",
       "      <td>0.417085</td>\n",
       "      <td>0.296482</td>\n",
       "      <td>0.286432</td>\n",
       "      <td>0.216080</td>\n",
       "      <td>0.201005</td>\n",
       "      <td>0.487583</td>\n",
       "      <td>0.410506</td>\n",
       "      <td>0.083164</td>\n",
       "      <td>0.200156</td>\n",
       "      <td>0.302067</td>\n",
       "      <td>0.287427</td>\n",
       "      <td>0.210350</td>\n",
       "      <td>0.196691</td>\n",
       "      <td>1.456543e-01</td>\n",
       "      <td>57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrd1as</th>\n",
       "      <td>0.806452</td>\n",
       "      <td>0.766129</td>\n",
       "      <td>0.032258</td>\n",
       "      <td>0.201613</td>\n",
       "      <td>0.161290</td>\n",
       "      <td>0.604839</td>\n",
       "      <td>0.806438</td>\n",
       "      <td>0.766129</td>\n",
       "      <td>-0.080584</td>\n",
       "      <td>0.617836</td>\n",
       "      <td>0.045268</td>\n",
       "      <td>0.188602</td>\n",
       "      <td>0.148293</td>\n",
       "      <td>-0.148939</td>\n",
       "      <td>2.774909e-01</td>\n",
       "      <td>25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrf1</th>\n",
       "      <td>0.497207</td>\n",
       "      <td>0.614525</td>\n",
       "      <td>0.240223</td>\n",
       "      <td>0.145251</td>\n",
       "      <td>0.262570</td>\n",
       "      <td>0.351955</td>\n",
       "      <td>0.509295</td>\n",
       "      <td>0.629321</td>\n",
       "      <td>0.099329</td>\n",
       "      <td>0.320510</td>\n",
       "      <td>0.181894</td>\n",
       "      <td>0.188785</td>\n",
       "      <td>0.308811</td>\n",
       "      <td>-0.129001</td>\n",
       "      <td>3.403415e-01</td>\n",
       "      <td>26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Znrf2</th>\n",
       "      <td>0.805000</td>\n",
       "      <td>0.900000</td>\n",
       "      <td>0.055000</td>\n",
       "      <td>0.045000</td>\n",
       "      <td>0.140000</td>\n",
       "      <td>0.760000</td>\n",
       "      <td>0.805572</td>\n",
       "      <td>0.900044</td>\n",
       "      <td>-0.437707</td>\n",
       "      <td>0.725051</td>\n",
       "      <td>0.019434</td>\n",
       "      <td>0.080522</td>\n",
       "      <td>0.174994</td>\n",
       "      <td>-0.838632</td>\n",
       "      <td>2.645267e-01</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zranb1</th>\n",
       "      <td>0.869281</td>\n",
       "      <td>0.849673</td>\n",
       "      <td>0.045752</td>\n",
       "      <td>0.104575</td>\n",
       "      <td>0.084967</td>\n",
       "      <td>0.764706</td>\n",
       "      <td>0.869339</td>\n",
       "      <td>0.849921</td>\n",
       "      <td>-0.628389</td>\n",
       "      <td>0.738869</td>\n",
       "      <td>0.019610</td>\n",
       "      <td>0.130470</td>\n",
       "      <td>0.111052</td>\n",
       "      <td>-0.468688</td>\n",
       "      <td>1.492504e-01</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zranb2</th>\n",
       "      <td>0.357143</td>\n",
       "      <td>0.368132</td>\n",
       "      <td>0.368132</td>\n",
       "      <td>0.263736</td>\n",
       "      <td>0.274725</td>\n",
       "      <td>0.093407</td>\n",
       "      <td>0.333380</td>\n",
       "      <td>0.334618</td>\n",
       "      <td>0.396027</td>\n",
       "      <td>0.111555</td>\n",
       "      <td>0.443557</td>\n",
       "      <td>0.221825</td>\n",
       "      <td>0.223063</td>\n",
       "      <td>0.423876</td>\n",
       "      <td>6.453902e-02</td>\n",
       "      <td>48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zrsr1</th>\n",
       "      <td>0.903061</td>\n",
       "      <td>0.954082</td>\n",
       "      <td>0.020408</td>\n",
       "      <td>0.025510</td>\n",
       "      <td>0.076531</td>\n",
       "      <td>0.877551</td>\n",
       "      <td>0.903083</td>\n",
       "      <td>0.954314</td>\n",
       "      <td>-0.773742</td>\n",
       "      <td>0.861824</td>\n",
       "      <td>0.004428</td>\n",
       "      <td>0.041259</td>\n",
       "      <td>0.092489</td>\n",
       "      <td>-0.930528</td>\n",
       "      <td>1.377993e-01</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zscan12</th>\n",
       "      <td>0.776699</td>\n",
       "      <td>0.844660</td>\n",
       "      <td>0.063107</td>\n",
       "      <td>0.092233</td>\n",
       "      <td>0.160194</td>\n",
       "      <td>0.684466</td>\n",
       "      <td>0.778275</td>\n",
       "      <td>0.846537</td>\n",
       "      <td>-0.405382</td>\n",
       "      <td>0.658838</td>\n",
       "      <td>0.034027</td>\n",
       "      <td>0.119437</td>\n",
       "      <td>0.187698</td>\n",
       "      <td>-0.573505</td>\n",
       "      <td>2.489295e-01</td>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zscan2</th>\n",
       "      <td>0.953125</td>\n",
       "      <td>0.937500</td>\n",
       "      <td>0.036458</td>\n",
       "      <td>0.026042</td>\n",
       "      <td>0.010417</td>\n",
       "      <td>0.927083</td>\n",
       "      <td>0.953498</td>\n",
       "      <td>0.937511</td>\n",
       "      <td>-0.982271</td>\n",
       "      <td>0.893914</td>\n",
       "      <td>0.002906</td>\n",
       "      <td>0.059584</td>\n",
       "      <td>0.043596</td>\n",
       "      <td>-0.903090</td>\n",
       "      <td>8.730091e-02</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zscan21</th>\n",
       "      <td>0.618357</td>\n",
       "      <td>0.676329</td>\n",
       "      <td>0.149758</td>\n",
       "      <td>0.173913</td>\n",
       "      <td>0.231884</td>\n",
       "      <td>0.444444</td>\n",
       "      <td>0.620347</td>\n",
       "      <td>0.677943</td>\n",
       "      <td>-0.139879</td>\n",
       "      <td>0.420560</td>\n",
       "      <td>0.122270</td>\n",
       "      <td>0.199787</td>\n",
       "      <td>0.257383</td>\n",
       "      <td>-0.090661</td>\n",
       "      <td>2.289590e-01</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zswim4</th>\n",
       "      <td>0.845794</td>\n",
       "      <td>0.808411</td>\n",
       "      <td>0.060748</td>\n",
       "      <td>0.130841</td>\n",
       "      <td>0.093458</td>\n",
       "      <td>0.714953</td>\n",
       "      <td>0.845614</td>\n",
       "      <td>0.808497</td>\n",
       "      <td>-0.598020</td>\n",
       "      <td>0.683676</td>\n",
       "      <td>0.029565</td>\n",
       "      <td>0.161937</td>\n",
       "      <td>0.124821</td>\n",
       "      <td>-0.473081</td>\n",
       "      <td>1.593014e-01</td>\n",
       "      <td>28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zswim6</th>\n",
       "      <td>0.746032</td>\n",
       "      <td>0.449735</td>\n",
       "      <td>0.169312</td>\n",
       "      <td>0.380952</td>\n",
       "      <td>0.084656</td>\n",
       "      <td>0.365079</td>\n",
       "      <td>0.748059</td>\n",
       "      <td>0.436347</td>\n",
       "      <td>-0.133447</td>\n",
       "      <td>0.326413</td>\n",
       "      <td>0.142008</td>\n",
       "      <td>0.421646</td>\n",
       "      <td>0.109934</td>\n",
       "      <td>0.298726</td>\n",
       "      <td>7.122013e-02</td>\n",
       "      <td>72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zswim7</th>\n",
       "      <td>0.492823</td>\n",
       "      <td>0.535885</td>\n",
       "      <td>0.253589</td>\n",
       "      <td>0.210526</td>\n",
       "      <td>0.253589</td>\n",
       "      <td>0.282297</td>\n",
       "      <td>0.479760</td>\n",
       "      <td>0.533234</td>\n",
       "      <td>0.276451</td>\n",
       "      <td>0.255824</td>\n",
       "      <td>0.242831</td>\n",
       "      <td>0.223936</td>\n",
       "      <td>0.277410</td>\n",
       "      <td>0.142252</td>\n",
       "      <td>2.119618e-01</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zwilch</th>\n",
       "      <td>0.825472</td>\n",
       "      <td>0.778302</td>\n",
       "      <td>0.099057</td>\n",
       "      <td>0.122642</td>\n",
       "      <td>0.075472</td>\n",
       "      <td>0.702830</td>\n",
       "      <td>0.825247</td>\n",
       "      <td>0.778985</td>\n",
       "      <td>-0.451275</td>\n",
       "      <td>0.642855</td>\n",
       "      <td>0.038623</td>\n",
       "      <td>0.182392</td>\n",
       "      <td>0.136130</td>\n",
       "      <td>-0.301030</td>\n",
       "      <td>1.807256e-01</td>\n",
       "      <td>26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zwint</th>\n",
       "      <td>0.127962</td>\n",
       "      <td>0.127962</td>\n",
       "      <td>0.786730</td>\n",
       "      <td>0.085308</td>\n",
       "      <td>0.085308</td>\n",
       "      <td>0.042654</td>\n",
       "      <td>0.114320</td>\n",
       "      <td>0.123279</td>\n",
       "      <td>0.765976</td>\n",
       "      <td>0.014093</td>\n",
       "      <td>0.776494</td>\n",
       "      <td>0.100227</td>\n",
       "      <td>0.109185</td>\n",
       "      <td>0.774015</td>\n",
       "      <td>2.616132e-03</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zxdc</th>\n",
       "      <td>0.649485</td>\n",
       "      <td>0.685567</td>\n",
       "      <td>0.128866</td>\n",
       "      <td>0.185567</td>\n",
       "      <td>0.221649</td>\n",
       "      <td>0.463918</td>\n",
       "      <td>0.650493</td>\n",
       "      <td>0.686535</td>\n",
       "      <td>-0.126434</td>\n",
       "      <td>0.446586</td>\n",
       "      <td>0.109558</td>\n",
       "      <td>0.203907</td>\n",
       "      <td>0.239949</td>\n",
       "      <td>-0.144787</td>\n",
       "      <td>2.571331e-01</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zyx</th>\n",
       "      <td>0.017857</td>\n",
       "      <td>0.089286</td>\n",
       "      <td>0.901786</td>\n",
       "      <td>0.008929</td>\n",
       "      <td>0.080357</td>\n",
       "      <td>0.008929</td>\n",
       "      <td>0.015142</td>\n",
       "      <td>0.085752</td>\n",
       "      <td>1.247776</td>\n",
       "      <td>0.001298</td>\n",
       "      <td>0.900405</td>\n",
       "      <td>0.013844</td>\n",
       "      <td>0.084453</td>\n",
       "      <td>0.774908</td>\n",
       "      <td>2.591918e-03</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4918 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               silent_c57  silent_cast  biallelic  mono_cast  mono_c57  \\\n",
       "0610007P14Rik    0.262443     0.280543   0.542986   0.176471  0.194570   \n",
       "0610009B22Rik    0.193548     0.216590   0.635945   0.147465  0.170507   \n",
       "0610009O20Rik    0.714286     0.718894   0.142857   0.138249  0.142857   \n",
       "0610010F05Rik    0.632075     0.679245   0.183962   0.136792  0.183962   \n",
       "0610012G03Rik    0.700000     0.400000   0.150000   0.450000  0.150000   \n",
       "0610031J06Rik    0.031250     0.026786   0.946429   0.026786  0.022321   \n",
       "1110002L01Rik    0.897727     0.977273   0.017045   0.005682  0.085227   \n",
       "1110007C09Rik    0.334928     0.282297   0.444976   0.272727  0.220096   \n",
       "1110037F02Rik    0.302752     0.288991   0.509174   0.201835  0.188073   \n",
       "1110038B12Rik    0.117117     0.198198   0.698198   0.103604  0.184685   \n",
       "1110038F14Rik    0.436620     0.389671   0.352113   0.258216  0.211268   \n",
       "1110051M20Rik    0.576531     0.607143   0.193878   0.198980  0.229592   \n",
       "1110057K04Rik    0.540284     0.545024   0.213270   0.241706  0.246445   \n",
       "1110058L19Rik    0.189189     0.166667   0.680180   0.153153  0.130631   \n",
       "1110059E24Rik    0.502370     0.478673   0.317536   0.203791  0.180095   \n",
       "1110059G10Rik    0.830065     0.875817   0.026144   0.098039  0.143791   \n",
       "1190002N15Rik    0.746544     0.626728   0.110599   0.262673  0.142857   \n",
       "1300002E11Rik    0.585586     0.617117   0.225225   0.157658  0.189189   \n",
       "1500009L16Rik    0.844749     0.744292   0.091324   0.164384  0.063927   \n",
       "1500011B03Rik    0.593458     0.406542   0.224299   0.369159  0.182243   \n",
       "1500012F01Rik    0.406091     0.380711   0.390863   0.228426  0.203046   \n",
       "1500015A07Rik    0.923423     0.923423   0.027027   0.049550  0.049550   \n",
       "1600012H06Rik    0.540373     0.577640   0.167702   0.254658  0.291925   \n",
       "1700001G11Rik    0.963801     0.963801   0.018100   0.018100  0.018100   \n",
       "1700003M07Rik    0.976077     0.976077   0.014354   0.009569  0.009569   \n",
       "1700012B09Rik    0.964286     0.964286   0.017857   0.017857  0.017857   \n",
       "1700017B05Rik    0.563636     0.715152   0.145455   0.139394  0.290909   \n",
       "1700020I14Rik    0.225806     0.488479   0.400922   0.110599  0.373272   \n",
       "1700021K19Rik    0.605769     0.620192   0.187500   0.192308  0.206731   \n",
       "1700025G04Rik    0.699531     0.647887   0.136150   0.215962  0.164319   \n",
       "...                   ...          ...        ...        ...       ...   \n",
       "Zik1             0.961538     0.923077   0.014423   0.062500  0.024038   \n",
       "Zkscan14         0.944954     0.944954   0.018349   0.036697  0.036697   \n",
       "Zmat2            0.750000     0.666667   0.027778   0.305556  0.222222   \n",
       "Zmat3            0.328638     0.272300   0.492958   0.234742  0.178404   \n",
       "Zmpste24         0.195455     0.286364   0.581818   0.131818  0.222727   \n",
       "Zmym1            0.842365     0.862069   0.049261   0.088670  0.108374   \n",
       "Zmym2            0.738462     0.707692   0.123077   0.169231  0.138462   \n",
       "Zmym4            0.754839     0.806452   0.045161   0.148387  0.200000   \n",
       "Zmynd8           0.438144     0.443299   0.314433   0.242268  0.247423   \n",
       "Znfx1            0.671429     0.585714   0.161905   0.252381  0.166667   \n",
       "Znhit1           0.213953     0.232558   0.600000   0.167442  0.186047   \n",
       "Znhit3           0.542453     0.523585   0.259434   0.216981  0.198113   \n",
       "Znhit6           0.354260     0.372197   0.430493   0.197309  0.215247   \n",
       "Znrd1            0.487437     0.417085   0.296482   0.286432  0.216080   \n",
       "Znrd1as          0.806452     0.766129   0.032258   0.201613  0.161290   \n",
       "Znrf1            0.497207     0.614525   0.240223   0.145251  0.262570   \n",
       "Znrf2            0.805000     0.900000   0.055000   0.045000  0.140000   \n",
       "Zranb1           0.869281     0.849673   0.045752   0.104575  0.084967   \n",
       "Zranb2           0.357143     0.368132   0.368132   0.263736  0.274725   \n",
       "Zrsr1            0.903061     0.954082   0.020408   0.025510  0.076531   \n",
       "Zscan12          0.776699     0.844660   0.063107   0.092233  0.160194   \n",
       "Zscan2           0.953125     0.937500   0.036458   0.026042  0.010417   \n",
       "Zscan21          0.618357     0.676329   0.149758   0.173913  0.231884   \n",
       "Zswim4           0.845794     0.808411   0.060748   0.130841  0.093458   \n",
       "Zswim6           0.746032     0.449735   0.169312   0.380952  0.084656   \n",
       "Zswim7           0.492823     0.535885   0.253589   0.210526  0.253589   \n",
       "Zwilch           0.825472     0.778302   0.099057   0.122642  0.075472   \n",
       "Zwint            0.127962     0.127962   0.786730   0.085308  0.085308   \n",
       "Zxdc             0.649485     0.685567   0.128866   0.185567  0.221649   \n",
       "Zyx              0.017857     0.089286   0.901786   0.008929  0.080357   \n",
       "\n",
       "                 silent  p_silent_c57  p_silent_cast  mean_expr  p_silent  \\\n",
       "0610007P14Rik  0.085973      0.262426       0.278588   0.374109  0.073109   \n",
       "0610009B22Rik  0.046083      0.170249       0.187380   0.589368  0.031901   \n",
       "0610009O20Rik  0.576037      0.714446       0.719852  -0.327860  0.514296   \n",
       "0610010F05Rik  0.495283      0.635525       0.688765  -0.183321  0.437727   \n",
       "0610012G03Rik  0.250000      0.691902       0.375348   0.511883  0.259704   \n",
       "0610031J06Rik  0.004464      0.019748       0.006571   1.054415  0.000130   \n",
       "1110002L01Rik  0.892045      0.897486       0.977287  -0.754151  0.877102   \n",
       "1110007C09Rik  0.062201      0.314937       0.268853   0.468729  0.084672   \n",
       "1110037F02Rik  0.100917      0.289314       0.285583   0.398736  0.082623   \n",
       "1110038B12Rik  0.013514      0.129326       0.201072   0.664371  0.026004   \n",
       "1110038F14Rik  0.178404      0.451343       0.391351   0.188816  0.176634   \n",
       "1110051M20Rik  0.377551      0.568383       0.602848   0.050167  0.342648   \n",
       "1110057K04Rik  0.298578      0.541689       0.553224  -0.057111  0.299676   \n",
       "1110058L19Rik  0.036036      0.174618       0.164132   0.572202  0.028660   \n",
       "1110059E24Rik  0.298578      0.501468       0.495541   0.037445  0.248498   \n",
       "1110059G10Rik  0.732026      0.831120       0.875822  -0.452298  0.727913   \n",
       "1190002N15Rik  0.483871      0.751730       0.634277  -0.358736  0.476805   \n",
       "1300002E11Rik  0.427928      0.587927       0.619336  -0.088674  0.364124   \n",
       "1500009L16Rik  0.680365      0.845012       0.746578  -0.527531  0.630867   \n",
       "1500011B03Rik  0.224299      0.594783       0.393390   0.008043  0.233982   \n",
       "1500012F01Rik  0.177665      0.404818       0.380367   0.351938  0.153979   \n",
       "1500015A07Rik  0.873874      0.923552       0.923487  -0.948413  0.852889   \n",
       "1600012H06Rik  0.285714      0.533988       0.577451   0.180564  0.308352   \n",
       "1700001G11Rik  0.945701      0.964014       0.963811  -1.265211  0.929127   \n",
       "1700003M07Rik  0.966507      0.976135       0.976080  -1.019116  0.952786   \n",
       "1700012B09Rik  0.946429      0.963534       0.964296  -1.236305  0.929132   \n",
       "1700017B05Rik  0.424242      0.559007       0.712722   0.168122  0.398417   \n",
       "1700020I14Rik  0.115207      0.211185       0.486851   0.516630  0.102816   \n",
       "1700021K19Rik  0.413462      0.606246       0.621203  -0.060385  0.376602   \n",
       "1700025G04Rik  0.483568      0.709226       0.649471  -0.242020  0.460622   \n",
       "...                 ...           ...            ...        ...       ...   \n",
       "Zik1           0.899038      0.961558       0.923132  -1.039310  0.887645   \n",
       "Zkscan14       0.908257      0.944909       0.944953  -0.976729  0.892895   \n",
       "Zmat2          0.444444      0.748726       0.664160   0.425969  0.497274   \n",
       "Zmat3          0.093897      0.323907       0.268880   0.464712  0.087092   \n",
       "Zmpste24       0.063636      0.203140       0.269217   0.513702  0.054689   \n",
       "Zmym1          0.753695      0.843696       0.863839  -0.544068  0.728817   \n",
       "Zmym2          0.569231      0.739324       0.707755  -0.360616  0.523261   \n",
       "Zmym4          0.606452      0.754646       0.806624  -0.107546  0.608716   \n",
       "Zmynd8         0.195876      0.442686       0.444893   0.250017  0.196948   \n",
       "Znfx1          0.419048      0.670650       0.575474   0.006160  0.385942   \n",
       "Znhit1         0.046512      0.185812       0.235596   0.543201  0.043777   \n",
       "Znhit3         0.325472      0.540880       0.519587   0.095268  0.281034   \n",
       "Znhit6         0.156951      0.344692       0.369270   0.341004  0.127284   \n",
       "Znrd1          0.201005      0.487583       0.410506   0.083164  0.200156   \n",
       "Znrd1as        0.604839      0.806438       0.766129  -0.080584  0.617836   \n",
       "Znrf1          0.351955      0.509295       0.629321   0.099329  0.320510   \n",
       "Znrf2          0.760000      0.805572       0.900044  -0.437707  0.725051   \n",
       "Zranb1         0.764706      0.869339       0.849921  -0.628389  0.738869   \n",
       "Zranb2         0.093407      0.333380       0.334618   0.396027  0.111555   \n",
       "Zrsr1          0.877551      0.903083       0.954314  -0.773742  0.861824   \n",
       "Zscan12        0.684466      0.778275       0.846537  -0.405382  0.658838   \n",
       "Zscan2         0.927083      0.953498       0.937511  -0.982271  0.893914   \n",
       "Zscan21        0.444444      0.620347       0.677943  -0.139879  0.420560   \n",
       "Zswim4         0.714953      0.845614       0.808497  -0.598020  0.683676   \n",
       "Zswim6         0.365079      0.748059       0.436347  -0.133447  0.326413   \n",
       "Zswim7         0.282297      0.479760       0.533234   0.276451  0.255824   \n",
       "Zwilch         0.702830      0.825247       0.778985  -0.451275  0.642855   \n",
       "Zwint          0.042654      0.114320       0.123279   0.765976  0.014093   \n",
       "Zxdc           0.463918      0.650493       0.686535  -0.126434  0.446586   \n",
       "Zyx            0.008929      0.015142       0.085752   1.247776  0.001298   \n",
       "\n",
       "               p_biallelic  p_mono_cast  p_mono_c57  mean_expr_cast  \\\n",
       "0610007P14Rik     0.532094     0.189317    0.205479        0.334126   \n",
       "0610009B22Rik     0.674272     0.138348    0.155479        0.578412   \n",
       "0610009O20Rik     0.079997     0.200151    0.205556       -0.323623   \n",
       "0610010F05Rik     0.113437     0.197797    0.251038       -0.219126   \n",
       "0610012G03Rik     0.192454     0.432198    0.115644        0.908485   \n",
       "0610031J06Rik     0.973812     0.019618    0.006441        1.168134   \n",
       "1110002L01Rik     0.002328     0.020384    0.100186       -1.467361   \n",
       "1110007C09Rik     0.500881     0.230265    0.184181        0.613847   \n",
       "1110037F02Rik     0.507726     0.206691    0.202960        0.414360   \n",
       "1110038B12Rik     0.695606     0.103322    0.175069        0.509166   \n",
       "1110038F14Rik     0.333940     0.274710    0.214717        0.210696   \n",
       "1110051M20Rik     0.171418     0.225734    0.260200        0.034080   \n",
       "1110057K04Rik     0.204762     0.242013    0.253549       -0.014652   \n",
       "1110058L19Rik     0.689911     0.145957    0.135471        0.644430   \n",
       "1110059E24Rik     0.251489     0.252970    0.247043        0.063107   \n",
       "1110059G10Rik     0.020971     0.103207    0.147909       -0.468688   \n",
       "1190002N15Rik     0.090798     0.274925    0.157472       -0.169142   \n",
       "1300002E11Rik     0.156861     0.223803    0.255212       -0.128869   \n",
       "1500009L16Rik     0.039277     0.214145    0.115710       -0.150112   \n",
       "1500011B03Rik     0.245808     0.360801    0.159408        0.291800   \n",
       "1500012F01Rik     0.368794     0.250838    0.226388        0.353894   \n",
       "1500015A07Rik     0.005849     0.070663    0.070599       -0.854991   \n",
       "1600012H06Rik     0.196913     0.225636    0.269099        0.080976   \n",
       "1700001G11Rik     0.001302     0.034887    0.034684       -1.303000   \n",
       "1700003M07Rik     0.000571     0.023349    0.023294       -1.206203   \n",
       "1700012B09Rik     0.001302     0.034402    0.035164       -1.308855   \n",
       "1700017B05Rik     0.126687     0.160591    0.314305       -0.090379   \n",
       "1700020I14Rik     0.404779     0.108370    0.384035        0.185984   \n",
       "1700021K19Rik     0.149153     0.229644    0.244601       -0.075025   \n",
       "1700025G04Rik     0.101925     0.248604    0.188849       -0.085342   \n",
       "...                    ...          ...         ...             ...   \n",
       "Zik1              0.002955     0.073913    0.035487       -0.886700   \n",
       "Zkscan14          0.003033     0.052014    0.052058       -1.059703   \n",
       "Zmat2             0.084388     0.251452    0.166886        0.338567   \n",
       "Zmat3             0.494305     0.236815    0.181788        0.438776   \n",
       "Zmpste24          0.582332     0.148451    0.214528        0.444329   \n",
       "Zmym1             0.021283     0.114879    0.135022       -0.644738   \n",
       "Zmym2             0.076181     0.216064    0.184495       -0.316907   \n",
       "Zmym4             0.047446     0.145931    0.197908       -0.236089   \n",
       "Zmynd8            0.309369     0.245738    0.247945        0.255024   \n",
       "Znfx1             0.139817     0.284708    0.189532        0.235288   \n",
       "Znhit1            0.622368     0.142036    0.191819        0.581375   \n",
       "Znhit3            0.220567     0.259846    0.238552        0.136062   \n",
       "Znhit6            0.413323     0.217408    0.241985        0.282123   \n",
       "Znrd1             0.302067     0.287427    0.210350        0.196691   \n",
       "Znrd1as           0.045268     0.188602    0.148293       -0.148939   \n",
       "Znrf1             0.181894     0.188785    0.308811       -0.129001   \n",
       "Znrf2             0.019434     0.080522    0.174994       -0.838632   \n",
       "Zranb1            0.019610     0.130470    0.111052       -0.468688   \n",
       "Zranb2            0.443557     0.221825    0.223063        0.423876   \n",
       "Zrsr1             0.004428     0.041259    0.092489       -0.930528   \n",
       "Zscan12           0.034027     0.119437    0.187698       -0.573505   \n",
       "Zscan2            0.002906     0.059584    0.043596       -0.903090   \n",
       "Zscan21           0.122270     0.199787    0.257383       -0.090661   \n",
       "Zswim4            0.029565     0.161937    0.124821       -0.473081   \n",
       "Zswim6            0.142008     0.421646    0.109934        0.298726   \n",
       "Zswim7            0.242831     0.223936    0.277410        0.142252   \n",
       "Zwilch            0.038623     0.182392    0.136130       -0.301030   \n",
       "Zwint             0.776494     0.100227    0.109185        0.774015   \n",
       "Zxdc              0.109558     0.203907    0.239949       -0.144787   \n",
       "Zyx               0.900405     0.013844    0.084453        0.774908   \n",
       "\n",
       "               pois_mono_c57  n_mono_c57  \n",
       "0610007P14Rik   1.046772e-01          39  \n",
       "0610009B22Rik   2.217511e-02          32  \n",
       "0610009O20Rik   2.333040e-01          30  \n",
       "0610010F05Rik   2.629299e-01          29  \n",
       "0610012G03Rik   2.917696e-04           9  \n",
       "0610031J06Rik   4.016477e-07           6  \n",
       "1110002L01Rik   1.560836e-01           1  \n",
       "1110007C09Rik   1.554186e-02          57  \n",
       "1110037F02Rik   6.845549e-02          44  \n",
       "1110038B12Rik   3.917721e-02          23  \n",
       "1110038F14Rik   1.549822e-01          55  \n",
       "1110051M20Rik   2.286897e-01          39  \n",
       "1110057K04Rik   2.220423e-01          51  \n",
       "1110058L19Rik   1.186584e-02          34  \n",
       "1110059E24Rik   2.088428e-01          43  \n",
       "1110059G10Rik   2.116950e-01          15  \n",
       "1190002N15Rik   1.800788e-01          57  \n",
       "1300002E11Rik   2.651298e-01          35  \n",
       "1500009L16Rik   1.265420e-01          36  \n",
       "1500011B03Rik   9.018432e-02          79  \n",
       "1500012F01Rik   9.344235e-02          45  \n",
       "1500015A07Rik   9.262287e-02          11  \n",
       "1600012H06Rik   2.338593e-01          41  \n",
       "1700001G11Rik   5.028461e-02           4  \n",
       "1700003M07Rik   8.575436e-02           2  \n",
       "1700012B09Rik   5.368179e-02           4  \n",
       "1700017B05Rik   3.421259e-01          23  \n",
       "1700020I14Rik   2.074855e-01          24  \n",
       "1700021K19Rik   2.505420e-01          40  \n",
       "1700025G04Rik   1.917390e-01          46  \n",
       "...                      ...         ...  \n",
       "Zik1            7.667096e-02          13  \n",
       "Zkscan14        9.177225e-02           8  \n",
       "Zmat2           1.051286e-01          22  \n",
       "Zmat3           6.067770e-02          50  \n",
       "Zmpste24        5.955721e-02          29  \n",
       "Zmym1           1.981320e-01          18  \n",
       "Zmym2           2.181780e-01          33  \n",
       "Zmym4           3.032074e-01          23  \n",
       "Zmynd8          1.375189e-01          47  \n",
       "Znfx1           1.142345e-01          53  \n",
       "Znhit1          2.138995e-02          36  \n",
       "Znhit3          1.813358e-01          46  \n",
       "Znhit6          1.309248e-01          44  \n",
       "Znrd1           1.456543e-01          57  \n",
       "Znrd1as         2.774909e-01          25  \n",
       "Znrf1           3.403415e-01          26  \n",
       "Znrf2           2.645267e-01           9  \n",
       "Zranb1          1.492504e-01          16  \n",
       "Zranb2          6.453902e-02          48  \n",
       "Zrsr1           1.377993e-01           5  \n",
       "Zscan12         2.489295e-01          19  \n",
       "Zscan2          8.730091e-02           5  \n",
       "Zscan21         2.289590e-01          36  \n",
       "Zswim4          1.593014e-01          28  \n",
       "Zswim6          7.122013e-02          72  \n",
       "Zswim7          2.119618e-01          44  \n",
       "Zwilch          1.807256e-01          26  \n",
       "Zwint           2.616132e-03          18  \n",
       "Zxdc            2.571331e-01          36  \n",
       "Zyx             2.591918e-03           2  \n",
       "\n",
       "[4918 rows x 16 columns]"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expr_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "## fit_nbinom\n",
    "# Copyright (C) 2014 Gokcen Eraslan\n",
    "#\n",
    "# This program is free software: you can redistribute it and/or modify\n",
    "# it under the terms of the GNU General Public License as published by\n",
    "# the Free Software Foundation, either version 3 of the License, or\n",
    "# (at your option) any later version.\n",
    "#\n",
    "# This program is distributed in the hope that it will be useful,\n",
    "# but WITHOUT ANY WARRANTY; without even the implied warranty of\n",
    "# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\n",
    "# GNU General Public License for more details.\n",
    "#\n",
    "# You should have received a copy of the GNU General Public License\n",
    "# along with this program.  If not, see <http://www.gnu.org/licenses/>.\n",
    "\n",
    "from __future__ import print_function\n",
    "\n",
    "import numpy as np\n",
    "from scipy.special import gammaln\n",
    "from scipy.special import psi\n",
    "from scipy.special import factorial\n",
    "from scipy.optimize import fmin_l_bfgs_b as optim\n",
    "\n",
    "import sys\n",
    "\n",
    "\n",
    "# X is a numpy array representing the data\n",
    "# initial params is a numpy array representing the initial values of\n",
    "# size and prob parameters\n",
    "def fit_nbinom(X, initial_params=None):\n",
    "    infinitesimal = np.finfo(np.float).eps\n",
    "\n",
    "    def log_likelihood(params, *args):\n",
    "        r, p = params\n",
    "        X = args[0]\n",
    "        N = X.size\n",
    "\n",
    "        #MLE estimate based on the formula on Wikipedia:\n",
    "        # http://en.wikipedia.org/wiki/Negative_binomial_distribution#Maximum_likelihood_estimation\n",
    "        result = np.sum(gammaln(X + r)) \\\n",
    "            - np.sum(np.log(factorial(X))) \\\n",
    "            - N*(gammaln(r)) \\\n",
    "            + N*r*np.log(p) \\\n",
    "            + np.sum(X*np.log(1-(p if p < 1 else 1-infinitesimal)))\n",
    "\n",
    "        return -result\n",
    "\n",
    "    def log_likelihood_deriv(params, *args):\n",
    "        r, p = params\n",
    "        X = args[0]\n",
    "        N = X.size\n",
    "\n",
    "        pderiv = (N*r)/p - np.sum(X)/(1-(p if p < 1 else 1-infinitesimal))\n",
    "        rderiv = np.sum(psi(X + r)) \\\n",
    "            - N*psi(r) \\\n",
    "            + N*np.log(p)\n",
    "\n",
    "        return np.array([-rderiv, -pderiv])\n",
    "\n",
    "    if initial_params is None:\n",
    "        #reasonable initial values (from fitdistr function in R)\n",
    "        m = np.mean(X)\n",
    "        v = np.var(X)\n",
    "        size = (m**2)/(v-m) if v > m else 10\n",
    "\n",
    "        #convert mu/size parameterization to prob/size\n",
    "        p0 = size / ((size+m) if size+m != 0 else 1)\n",
    "        r0 = size\n",
    "        initial_params = np.array([r0, p0])\n",
    "\n",
    "    bounds = [(infinitesimal, None), (infinitesimal, 1)]\n",
    "    optimres = optim(log_likelihood,\n",
    "                     x0=initial_params,\n",
    "                     #fprime=log_likelihood_deriv,\n",
    "                     args=(X,),\n",
    "                     approx_grad=1,\n",
    "                     bounds=bounds)\n",
    "\n",
    "    params = optimres[0]\n",
    "    return {'size': params[0], 'prob': params[1], 'negll': optimres[1]}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.296682202430203"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def getBIC(row):\n",
    "    binom.logpmf(4,8,0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'size': 5.7451048020948,\n",
       " 'prob': 0.3580597910290591,\n",
       " 'negll': 303.0113430290121}"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit_nbinom(np.random.negative_binomial(10,0.5, size=100))"
   ]
  }
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