scripts/4_merge_counts_tables_Evigene.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. Merging species counts tables into one counts table for all species"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "# requires dammit env\n",
    "# source activate dammit\n",
    "from dammit.fileio.gff3 import GFF3Parser\n",
    "%matplotlib inline\n",
    "import pylab as plt\n",
    "from matplotlib_venn import venn2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['F_chrysotus_counts_evigene.csv', 'F_catanatus_counts_evigene.csv', 'A_xenica_counts_evigene.csv', 'F_heteroclitusMDPL_counts_evigene.csv', 'L_parva_counts_evigene.csv', 'F_heteroclitusMDPP_counts_evigene.csv', 'F_similis_counts_evigene.csv', 'F_diaphanus_counts_evigene.csv', 'F_parvapinis_counts_evigene.csv', 'L_goodei_counts_evigene.csv', 'F_olivaceous_counts_evigene.csv', 'F_rathbuni_counts_evigene.csv', 'F_sciadicus_counts_evigene.csv', 'F_zebrinus_counts_evigene.csv', 'F_grandis_counts_evigene.csv', 'F_notatus_counts_evigene.csv', 'F_notti_counts_evigene.csv']\n"
     ]
    }
   ],
   "source": [
    "counts_dir = \"/Users/johnsolk/Documents/UCDavis/Whitehead/kfish_salmon/tximport_counts_evigene/\"\n",
    "counts_matrices = os.listdir(counts_dir)\n",
    "print(counts_matrices)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = pd.read_csv(counts_dir + 'F_catanatus_counts_evigene.csv',sep=\"\\t\")\n",
    "test = test.rename(columns={'Unnamed: 0': 'Evigene'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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>Evigene</th>\n",
       "      <th>F_catanatus_BW_1.quant</th>\n",
       "      <th>F_catanatus_BW_2.quant</th>\n",
       "      <th>F_catanatus_BW_3.quant</th>\n",
       "      <th>F_catanatus_FW_1.quant</th>\n",
       "      <th>F_catanatus_FW_2.quant</th>\n",
       "      <th>F_catanatus_transfer_1.quant</th>\n",
       "      <th>F_catanatus_transfer_2.quant</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Funhe2EKm000003</td>\n",
       "      <td>2.000</td>\n",
       "      <td>6.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>17.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>17.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Funhe2EKm000004</td>\n",
       "      <td>211.136</td>\n",
       "      <td>445.152</td>\n",
       "      <td>488.860</td>\n",
       "      <td>281.000</td>\n",
       "      <td>1221.581</td>\n",
       "      <td>562.781</td>\n",
       "      <td>1329.399</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Funhe2EKm000005</td>\n",
       "      <td>17.358</td>\n",
       "      <td>39.340</td>\n",
       "      <td>29.797</td>\n",
       "      <td>22.421</td>\n",
       "      <td>156.628</td>\n",
       "      <td>102.396</td>\n",
       "      <td>176.913</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Funhe2EKm000006</td>\n",
       "      <td>21.000</td>\n",
       "      <td>84.000</td>\n",
       "      <td>62.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>189.000</td>\n",
       "      <td>183.000</td>\n",
       "      <td>256.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Funhe2EKm000007</td>\n",
       "      <td>12.638</td>\n",
       "      <td>9.029</td>\n",
       "      <td>41.158</td>\n",
       "      <td>3.594</td>\n",
       "      <td>50.365</td>\n",
       "      <td>131.408</td>\n",
       "      <td>248.491</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           Evigene  F_catanatus_BW_1.quant  F_catanatus_BW_2.quant  \\\n",
       "0  Funhe2EKm000003                   2.000                   6.000   \n",
       "1  Funhe2EKm000004                 211.136                 445.152   \n",
       "2  Funhe2EKm000005                  17.358                  39.340   \n",
       "3  Funhe2EKm000006                  21.000                  84.000   \n",
       "4  Funhe2EKm000007                  12.638                   9.029   \n",
       "\n",
       "   F_catanatus_BW_3.quant  F_catanatus_FW_1.quant  F_catanatus_FW_2.quant  \\\n",
       "0                  13.000                   2.000                  17.000   \n",
       "1                 488.860                 281.000                1221.581   \n",
       "2                  29.797                  22.421                 156.628   \n",
       "3                  62.000                  31.000                 189.000   \n",
       "4                  41.158                   3.594                  50.365   \n",
       "\n",
       "   F_catanatus_transfer_1.quant  F_catanatus_transfer_2.quant  \n",
       "0                        13.000                        17.000  \n",
       "1                       562.781                      1329.399  \n",
       "2                       102.396                       176.913  \n",
       "3                       183.000                       256.000  \n",
       "4                       131.408                       248.491  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24811\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "27506\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "28736\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30032\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30515\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31006\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31241\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31395\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31577\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31697\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31785\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPMAAADtCAYAAABqKkPUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJztnXmclOWV77+nurqqunqhu6GbHdmVTUAEccFocIlOTJxMNItZZ3KTTO4kk+iMyRgTY/Z9Zu5McnMnk5t8ErPpmHidxH1XQAVkFxTZoaEbmt7o6tqf+8dTDUULTQP1LlV1vp/P++muepdz3qr6vc92nvOIMQZFUYqfgNcOKIpSGFTMilIiqJgVpURQMStKiaBiVpQSQcWsKCWCillRSgQVs6KUCCpmRSkRVMyKUiKomBWlRFAxK0qJoGJWlBJBxawoJYKKWVFKBBWzopQIKmZFKRFUzIpSIqiYFaVEUDErSomgYlaUEkHFrCglQtBrB5QCI1IB1ABhoPIkWwWQAdK5LTPgbxLoBXoxJuvyHShniIq5GBEJAQ1ALVCXt9UC1QW21QccAbrztg7gkArdX4gmwfc5IgGgCWjO+1vnqU+WLNAOHATacn870R+UZ6iY/YjISGA8MBor4GKpQaWwot4D7MKYTo/9KStUzH7AtnPHAhOBCUDUU38KRzewO7e1aLXcWVTMXmHbvROwAh6P7ZgqZVLAXmAbsFOFXXhUzG4j0gTMBKZQPNXnQhMHXge2aFW8cKiY3UAkCEzFiniEx974jQPAFmA7xqS9dqaYUTE7iUg9MAuYBoQ89sbvJIHXgPUY0+u1M8WIitkJrIgXYKvSyumRBbYCazGmy2tnigkVcyERqcOKeCogHntT7BjgDWA1xnR77UwxoGIuBCK1wAXAdFTEhaa/pF6NMUe8dsbPqJjPBpEwsBA4jyKbtJIJkO2pJ91dT7oviklUQSKCJCJIMkwgFaIiU4EgSN4vRBAMQCALFWkywRTZUJJsKI4JxzFVvVDbRaCug2B1b0GH29LAGmCdDmudGBXzmSJyHrAIiHjtyqnorSF1uIl0VwPZ7noCvbVUJKqoRJytRUiGbFWMVE032douso0HCQxvIxxMn9WDrwtYhjF7C+VnqaBiPl1EGoElwEivXTkZvdWkWseROjgK6RxOZSrso/HsLKamh2RjG5nm/ciI1jMW93ZghfZ8H0PFPFRsyOUFwFx8WKU+1Ex8zxSyh0ZSmagqomgyg6npJjl6D5nx26iMxk7L9xTwCrBBq94q5qFho7auBOq9diWfzkYSu6aSbh1LKBkpIgEPQk0XiTG7SI/fTriqb8g1ijbgSYzpcdI3v6NiPhUic4CL8Elp3FdFevt5JFomUJmIlnYgSm0n8QlvkJ2wjUhF9pSffxJ4HmO2ueGbH1ExnwzbU30FcI7HngC2FH5tDpmDo6giUF7DXxVpMmN2EZ+2kdAQquGvYTvIyi40VMV8Iux84qXY9DueYcC0TCD+xiykp97/veaOYzAjWumbvoGKxkOEBzmyE1vtbnfLNT+gYh6IyDzgQjysVhswu6cSf302waLqzHKR+nb6Zq8iUH/4pKLOAMsxZrObfnmJirkfO7PpSmCSl260jqFv0wICsZpBSx4lR9N+YrNXUVl95KQPvfUY86KrTnmEihlAJAJci4djx52NJDZciOkartXp0yaLGbObvllrCIXjJ+wB3wE8XertaBWzjau+Do+GnRIR0usWkWwbWzKpgjxDMmSnvUp82kaq5M0x8m3AoxjT54VvblDeYhYZAbwNj3Ju7ZhObMtcwpkgFV7YL1VqukjMX44M63zT0F0P8HCpZjcpXzGLjAOuxoPcW73VpFZfRqa7UavUjpHFTHqdvhlrqQqY40rpJPAIxhzwyjWnKE8xi0wG3ooHPdbbz6Vvy1zC2Qp/BKGUOpFekhcsxwwYykpjS+j9XvnlBOUnZpEJwDW4LORUJZmVS0geHkmVm3YVIIuZvpHY9E3HrfZRcoIuLzGLjMW2kV1to3bVk3z5CkTHjL1lxAFiFz5PJG+WVhp4qFSq3OUjZhvV9Re4nN5292RiGy4kYrRa7QsiMZILn4W8zrEk8CeMOeSlX4WgPMRse63fjosZMrOCWX8RfXsn6ZCT35AM2TmriE/YfvS7iQP/jTEdXvp1tpS+mEUagBtwMSNIqpLMiqWkuhu0t9rPTNpCbNaao4KOAX/AmJiXPp0NpS1mkShwIy5OmEhESC+7moyGYxYHo/YQu2DZ0eGrg8CDGJPx2q8zoXTbcTYzyDW4KORYlNRz15JVIRcPB8YTXbGUeCZAFrvi5lu89ulMKV0x2zxdzW4Z6x5G8vm3IaWeMKAU6Wiiatk1JNNBssDU3My5oqM0xWyzg0x3y1zHcBLLrqHCV4nzlNOiu4HI89eSygl6YS4eoagoPTGLjMKm+XGF7mEkX3wrQY2vLn566wgvX0oyE8AAS3Odp0VDaYnZdnhdhUv3FYuSWrGUgAq5dOhuJPLSlSSyQhC4JjfPvSgoLTHbnF2ujOsmwmSWXY3RqnXpcbiZqlVL6AOGAYu99meolI6YRWYC49wwlQ6SXXY1ae3sKl3axhJdu5gYMDM3w873lIaYbYIBV9rJWcEsX0oyVqvDT6XO3klEX5tDL3BFLlurrykNMduxQVcmMaxdTJ/OQy4fts4i2jaaAHCZ176ciuIXs8gsYIwbpnZMJ9YyUWOtywpBVl9KZSzKBESmeO3OYBS3mO3i5q5UrzuGk3h1vpbI5UimkooX30o2E+CS3IiJLyluMdvqteO9yalKMisvJ2ACRf95KWdIrJbwmksw2PW4fUnx/jht6p/RbphauYRkqSzMppw5B8YT3TGNcbkptb6jOMUsEsAudO44O6YR01Q/Sj+b5xHpqXPnt3e6FKeYYRZQ57SReBXpzfN0CEo5RjZIxbqLGJ6rGfqK4hOzHe+7wA1Tr1xMKquhmsoAOkdQtXUmc3PTbH1D8YkZ5oPzpeXeiVq9Vk7O1lk0Hh7BbK/9yKe4xGyHohz/ABNhMhsXaKimcnKyQSo2LWBmbp0yX1BcYnZpqdX1i0ikQzqBQhmcrkZq11zMLK/96Kd4xCxSAzje6dDZQKJ1nEZ5KUOjdQwzWyaIL4Yti0fMtnrtuL8bL6SEMxwqhSYdomrdRf4onYtDzCIh4DynzRwcRbxzhIZsKqdHspK5t3za+9K5OMRshex4h9TGBW9a01dRTkkFhC/oZY7XfvhfzDbay/Ee7D2T6Out0wAR5cwYmWKW3O1tz7b/xWw7vRzNfW3AbDlfg0OUM6c+Q9UHD3pbOheDmB0vlfePJ64pgJSzZW6M6XK3eBZo5G8x21Snjieyf2OmtpWVs2dqnOjYJFO9su9vMbuQyL6rnqSmAVIKQQXIkm48y0biXzGLCDj/lNs6m7TTNpTyYWEvdXK3uJLGaiD+FbNNPFDtpIFEmEzrWC2VlcIxNU64OeXe0kj5+FnMjldXtp9HXFMBKYUkYKvaY7wYpvLnD9lWsSc5bWbfRE0FpBSeJT0EcXHhwn78KWabOtfRJ1vHcBJxHY5SHGBSgnBTimlu2/WrmB1fTnPXVO34UpwhAHJ5N1Vyt4xy2a4vGeu0gdaxGrqpOMcV3QRwYXJQPv4Ts83c0OikifYmErp6o+IkE5KEqzKMl7vFtYAk/4nZhaVm9k7SKrbiLAGQGX0IMNxFm77D8Sr2oZHai604z5w+Mri0Dhr4U8yO3nwiTKavRnuxFeeZGSNA2YpZpBq7Wr1jHBxNwsnrK0o/ExOEgFFyt7iiM3+J2YW1o9pcWZ1KUSBqqBhriw5X1qbym5gd7yw43KS92Ip75NrNjvcDgf/E3ODkxRMR0vFqbS8r7jE7hsGldrPfxOzo+PKhZlJOXl9RBnJunApgpBvtZv+IWaQSh3N9dTVqTmzFXZpThMJZAriQMcc/Yna4VAbocbSfXFHeTABkTJIMUO+CLd/gaHsZ4Eiddn4p7tOUJgPUOm3HT2J2tGQ2YOJRFbPiPiNTZCkzMdc5efHeWlKaVUTxguYUhjITs6PJCLoayDh5fUU5Gc0pApSZmB1NHh6r0Z5sxRtG2Dl6UblbHF01pWzEnIiomBVvqE8fXfrI0aFXf4hZJAjOdk4lIrpqheINwzJHxexoVdsfYna4VAZIhlXMijeEDRWRrPM92uUjZi2ZFQ9pSpHGYTH7Zdw18gCM/Dh8vP+NThjxl/BgN0Sfh8uicATgb+GPd8NGgHfC256FywKQ/Sz87svwKsAC+PBmmBOFnkNwN0Aq5JsHl2dsbKPhhyv4aF+aYQJm3iieu/1Snurf/63nuXr5Xt79b9dx28R6jqzYw6ifrObDHX1MuHgcD/zTEh7vP/a7y3jr2gMsAWTuKJ7//KU82b/ve8u5cnULVwaE7MR6NnxzKfe7fKue850XWLqulSWAaaxiX+hD/JRHWSxfkZ9gC9EjwEeMMW8UyqZfxBy8EVpvhK8BxEGGw3c/AWu+B5deC0/cz7EfEsB9MHo5LNwBX1kJw26Gz90OX4qAuQWWN8DT/wgf7T8+VanrL1cGyL5/Dv911WR2t/US/szD3PnCbjZfNoH9G9to2NbBzKogh/uPb66h9/2z+d0Lu5mff53ndjFm7QGW/Oh6vhWtJP2ph/j7l/exYdFY2u7fzLlbDjHvP9/BV2tCpLd1OD8k4zc2H6R+9X6W/vQG7hoWIfU//8zHDz3DIrbwNuAaY8xmEfkUcCfwkULZ9UtpdZwf34cZDXDwrRz7YQ3kHph7CaxsgPQ10N4IB3+WWwXjVtg6HnrzjzdayebcEXRdNZndAM3VJOoj7N/XY2OGf7ySm2+Zw/1wrNd/SgM9105lV0Xg+DH619sZPbKG7Q1VJMNBshOG8frj25kH8NR23nLtFB6uCdmkiVMa6HHtBn2EgUB3gspEmkAqSyhcS4d9+2hw1DCgpZA2/VIyHyfmP8LCt8DL/a8fhyub4OIJsOs3cN+5EDsIDfNge/8xjdCxfbBgdtE2cz5rDzC8vY/xV5zDjl+u4/yaEJ1XTmLv/1516nNnNrHvie3cuLuL6toQqe0dzG6uZhdAV4KRmw4y7UN/5MaKAOn3zuK+a6fafeXCjCY6F47hsU8/zLcrAqTG1PJqw6VsbDN8nxU8JCJ9QDewuJB2/VIyHxVaF1S8CuffCqsBvg7PtMEXW+BrjdD1frgJOOGgsZz4bU52fLlyKEb4Byv45PVTuTdUQfaJ7Vz/ucU8ONTzLxnPgUvG88gdT/LZWx/jMyOi7A0IWYCsIdCXIvqLG/n2e2bxXz9bwyeyZfbh7+0muuUQ8/75Wu645y+5PZUhtOcRLmYTNwHXG2PGAT8HflhIu34R89Gv+9swezTsXoCtni2AngiYSjCfh+d3wUSAZujYlzfT6jA0TIIu1z0vMvpSVHzhCT45q4mXPjqfNetbaepNMeLvH+FLN9/HN+NpGv7xcb64tX3wWPnPXMSye97FN37+Tr5fFaS3uZpWgOoQHYvHsSYg8Lap7BQhu6vT2WAJv/HIG8yoC3NoUgNHqirJzBnJmlgb0+ljijHmpdxhvwcuKaRd34n5T7BoKazsf/1SXrbO/4B5o3PtjFtg3XJY2AHBx2B4OzT/Dew4mQEps9LhRGQNfP4JPjQ8yv4vXMYTAG+ZyL77b+Yf7r2JO+69iTsiQTq+dzXfmDac7sGu1d+xtaGVxm0dzH/PLPudzRjB2rUH7LIsL+2lOWsInlNvRyLKhbG1HG7rZXJHH6GsgdcPcV6onhYyVItI/+qQVwObC2nXL21mA3AAQlthxgNwT/+OT8Bf7YVxAjRA+69y+26G/b+CVZPgKwHIfg5+E8ldZw58bDtMj0NNDXznPfDgu+E5T+7MR/zpdabu6GRxXZh9H/gDXwK4bhp/vGWOHeobyNZ26u54ii+ms0QAc9N9XPXv13HXyBriX3uWTyYyVAeEzLtm8NtxdcQAPrGAZV94kg+//37uCgjp98zi54Ey6624bho7XtzH6k89xBcFsiOi7Bl9DU93BtnCJu4XkSzQAfx1Ie2KMT4oskQmA1c5aeLRd5HW9aUUr7h9PInNUbaZu8wLTtnwSzXb8cT0lSmdAql4R9rWTrJO2vCLmPucNhBKOPtBKspgdAYJ4PDv3C9ijjttoDKho1OKN2TBHA4SBGcDaMpGzGHHLSjKiYkFyGRs0FIZiNmYLA63m8NxLZkVb+gIHm3ilYGYLY62JyJ9Gs6peENHBRkgY+4yMSftlI2Ya7p9da9KGXGwEgPOB8746Qfu6FOrrlPHmBVvyInZ8dljfhJzp5MXD8cJVuhYs+IBbUHnO7/AX2LucNpA9RFdBVJxn1abGKOsxHzSRASFoqZLA0cU92mtJECZibkLnK0G1zlakVeUN5MQMq0hKoFDTtvyj5jtjA9H5Vbf7qP7VcqCXWGSQK+5yzg+195vP25H282NBwlLRqvaintsiZClwLm+TobfxOxouzlgkLoukk7aUJR81kcJUKZidrxdMbxVh6cU99gUJQTsc8OW38R8AIfnfDa3aP5sxR0OBUkeqSBm7jKupE3yl5iNSYNNDOcU2m5W3GJrhAwulcrgNzFbHG1fBAwyrNP5zCaKsqkKg0vtZfCnmB1/ko3cq9MhFedZHyVImYu5DezSJk4xfgchJ6+vKAkhsyvMEaenPebjPzHbRAUHnDQR6SNY0+V8dhOlfFkXJZGVY8snuYH/xGzZ67SBsTu1E0xxjieHYYAtbtr0q5gdX2hswnZCZLXtrBSehJBZWU2bm1Vs8KuYjekC2p00EY4TrD+sVW2l8LxSTSIV4DW37fpTzJZtThuY9LrTFpRy5Lla+oA9btstazGP2UUkFNeEBUrhiAmZl2vYae5yf90n/4rZmB4c7tUWkHO26sQLpXCsrSae9KCKDX4Ws2Wr0wYmv0YkoOGdSoFYXU2rW7HYA/G7mLfhcPaRyhQVo3drR5hy9vQGSD9d53wBdDL8LWZjkrjQdp6+kUqnbSilz4YoHamA+x1f/fhbzJb1ThuoPkLliAPO5u1WSpssmOdqWWfuMp412fwvZmMO40JE2OxVBDWIRDlTWkIcfL6OHV764H8xWxwvnWt6CI3Z4/w60Uppsr+SNV4MR+VTHGI2Zi8u5NWeuYaQJi5QTpc0tN39U+N4CPKpKA4xWzY4bSDSR/CcN7RnWzk9GjtY7bUPUFxi3orDi8sBnLuBsK5JpQyVaA+tlz9sPOvBzqd4xGznOTvedq5MUXHeek0rpJwayZKdvMX53+RQKR4xWzbhwpo9k14nOqxdq9vK4IzfTtvEN9jptR/9FJeYjckAL7th6oJlVGhnmHIyarpIzHqFVblllXxBcYkZwJht2DxhjlLdS+X0TVo6K29GsmTnrGRPRdq4lqxvKBSfmC0vumFk6iaqNFeYMpDJW4gNP8gqr/0YSHGK2ZgD4Hy0jYAseIGAZLW6rViqu0mcu543MKbba18GUpxitryEw0vZANR2E5qxVktnBQIZsgteIBkwrPXalxNRvGK2T0ZXPtTJrxFtatGJGOXO3BdJ1HWxNjebz3cUr5gtr+Bw4r9+FiwjEunVrCTlyjlb6R27my5cTp97OhS3mG0gyTO4UN0OpgksfhoCaY0OKzfq2+mbvYpK4Bk/DUUNpLjFDGBMO7DGDVM1PYTmryCJ0amS5UIoTmrhs4QEXvRjp1c+xS9myxpcWKgdYPReqs5bp1Mly4FAhuyiZ8mGE+zDGN9Wr/spDTG7WN0GmLqZ6MTX6HXDluINkiW78DmS9YcxwLNe+zMUSkPM0J+RZKVb5ma/QvWYndrDXZJkMfOXk2g6QAR4HmOKoiZWOmIGMGYdLqxT1c/8FVQ17VdBlxpzVtE3Zg9VwGsY42kqoNOhtMRseRpwpaNCQBY+S1V9u7ahS4Vz1xE7ZxtRoBV4wWt/TofSE7Md0H8Mhxds7ydgkIufINzYpoIudqZuonfaq0SBI8BjuVl6RUPpiRn6289Pu2WuIktg8VNEmvdplbsoMZgZa4idt55qbCHwWLG0k/MpTTEDubaOa7mZAgZZ9BzRcdu1l7uoyGLOf5m+KVuI5t55BmNcGeYsNOLjgJbCILIUmOKmyVfn0bt9BtVu2lROn0CazIUvkGreTyT31isY47upjUOlHMQcAK4BJrhpdsd0YpvmU0UAcdOuMjQqE6QXP0V2WCeh3FvbMeYJT506S0pfzAAiFcB1wBg3zR4eQWLl5VSkwgTdtKsMzrB24oueIxiOH/1edmPbyUU9b708xAwgUglcD4x002wiTOalK0h1Nx6tyikeMvF1emetJiocrTG1AA8XW8/1iSgfMQOIhIC3AyPcNGvAbLiQvt3TjnayKC5TkSYzbwXJ0Xupynu7FXgIY1Je+VVIykvMACIR4AagwW3T+ybQt34RoUwlFW7bLmequ0kseoZAde9xS/cewJbIJSFkKEcxA4hEsVXuRrdNJyKkV19K6nDzcSWE4gCSJTtlM33TNxANmOM6IktOyFCuYob+Kvc1uNwp1s+uKcRenU9YS2lnqO0kfsEyArXdR3ur+9kNPIExrkQIukn5ihn6h62uAKZ6YT4RJrN2MYmDY7QtXSgCGbLnrieeFwSSzyZguZ+zhZwN5S3mfkQuAuZ6Zf7gKOIbLkRitYS98qEUGHGA2PkvURmNHdc2BjDYTCGOryTqJSrmfkRmAxeDd0EeuycT2zKXymTkTT9GZRCGtROfvRppaD/hwzANPIUxO112y3VUzPmITMRWuwe2s1wjK5g3ZhLbNoOItqcHJ9pDYtYrmJEtJx3D7wMewZiDbvrlFSrmgYjUAVfh8lj0QFKVZLbOIr57CuF0SCPI8on0kjx3A5nxOwYdEWgFnsSYI2755TUq5hNhO8YWA7O9diUTILtnMvFtMwj21XhXY/AD9e30TdsII1sGFbHBJnhcXaodXSdDxTwYPqh259M2mvjWWZiOpvIZow5kyI7eQ3zKqwTruk75PfRi28f73fDNb6iYT4VILbAUaPbalX5iUVK7p5JsOYdgrKYEe8CzmPoO4mN3YMbvIBJMD2ne/U7gWYxJOOydb1ExDwVb7Z4HzAd/dUr11JHcNZXU/vFUJqL+qEGcEQYz7DCJsbswY3cSCieG/DmnscNOrzrpXjGgYj4dROqBy4FRXrtyIjobSRwYR7ptNBXd9YT9Ppc6mCTd0E6yaT+M3UUob0riUNmJDQIpm06uwVAxnwkiM4BF4N8qbrqCbPtIkgdHkTncTEVPHSFT4W2aqGCSdMMhkk0HoGk/lbXdZzye3g0sw5g9hfSv2FExnyl29tUi4DyvXRkqvdWkuhtIdzWS7a5HjtQR7KsmaAKFFXkwSTp6hHRNN9m6ThjWQaC2i2Ck76yH2DLYZXzXlsL840KjYj5bRJqAhcA4r105U5IhMokImXgV2UQV2XgVJCKQyqt3GOG41fIqMpjKJIQSSCgBVTEC4T4qqmIEKlOO9Cvsxlapfb14m5eomAuFyCjgQjyahVXCtACrMOaA1474HRVzoREZgxW1LzvJioj92MCPFq8dKRZUzE4hMg5YgMs5x0qA3dg2sZbEp4mK2WlERgAzsXOmNcb6xCSBbcCrGNPutTPFiorZLWxmk6lYYbuersintAJbgG2lmPnDbVTMXiAyEivqiVB2c5fjwFZgC8Z0eO1MKaFi9hIbJjoWK+pzoGTTBx3BtoV3A/t0jNgZVMx+QqQZK+yJQL2nvpwdBjiIXfh+t7aD3UHF7FfsbK3R2CGuUfhb3BmgHSvgNmBvMS6JWuyomIsFkTDQhM2A0owVdy3uz+IyQCdWtP3iPXwm6zSJyE7gY8aYJ0TkDmCyMeZjhXS2nNChkmLBztPdm9uOIVIN1GGFXZfbarCTQCrztlPFX2exJWwaO1TUm7cdwU5u6BZYjx07z2/3Tjc2UuuMMcZ882zOV1TMxY8x/YIbPLuG7WwLYb/zIMeEmwYyQy5ZRQBuMEW+/Gkp4umUOMVFjMliTBxjjmBMJ8b0YEwfxqScXMpURN4hIptEpFNEnhE7ffREx31FRO7J/f+IiPzdgP3rRORduf//VUT2iEi3iKwWkSV5x1WIyB0isk1EenL7x+f2nScij4vIYRF5TURuzjtvmIj8UkQOisguEblT7APwON9yryeKiBGRYO71R0Rke87eDhG5pXCf4NBRMSuOISLTgd8Cn8W29x8C/ltsAM1g/AZ4X951ZmKH7v6ce2slNvNLY+7Y+8ROSQW4NXfu9dgmx18DMbHNkcdzxzfnjvmxiMzKnfdvwDBgMvAW4EPAR4dwj9XA/wKuM8bUApdgp2m6jopZORMeyJW0nSLywCDHvQf4szHmcWMXafs+UIX9wQ/GH4F5InJO7vUtwB9MLr+XMeYeY0y7MSZtjPkBtn/g3NyxHwPuNMa8ZizrjB0aezuw0xjz89x5rwD3A+8WkYqcr/9kjOkxNmH+D4APDvHzyAKzRaTKGLPfGLNpiOcVFBWzcibcaIypz203DnLcGOxYMwDGVuf3YANlTooxpgdbCr8399Z7gV/37xeR20Rks4h0iUgntkTtz3M+HhvnPZBzgIvyHkKd2IfEqNy5oXxfc/8P6mfO117sg+CTwH4R+bOIeJKwQsWsOEkLVkQAiIhgxbZvCOf+FnifiFyMLc2fzl1jCfB54GagwRhTD3RxbFmhPcCUE1xvD/Bs3kOo3hhTY4z5W+AQkMr3FZiQ52cvx0fnHTe91RjzqDHmamxcwBbgp0O4v4KjYlac5F7gL0RkqYhUArcBCWD5EM59CCuurwK/N8c66WqxPfAHgaCIfBnbNu7nP4Gvicg0sZwvIsOBPwHTReSDIlKZ2xaKyAxjw0vvBb4hIrW56v2tQH+n11rgchGZICLDgH/qNyYiI3OdfNW5ezvC8cN2rqFiVhzDGPMa8AFs59Ih4AbssFZyCOcmgD9glwr6Td6uR4GHgdexVeE4ttTt54dYYT6GHRv/GVCVq7pfg62yt2AXXP8Ox5IyfhpbAm8HXsjZ/L85Xx4Hfo8dY1+NfTD0E8A+pFqAw9jOs0+d6v6cQCPAFKVE0JJZUUoEFXORIyI/EZEveWj/FhE5coLNk+GZcmbIYhavpUXIAAAEM0lEQVSR94vIqtwXtV9EHhaRy5x0zitE5L0i8pKI9IpIW+7/T+V6Y73w5woR2XuifcaYTxpjvjaEa+wUkasK7Zsx5te5XuGB26xTn60UkiGJWURuBf4F+CY2yH4C8GPgnc655g0ichvwr8D3sEMQI7FjiJfik9UgFeWEGGMG3bAD8keAm06yP4wVektu+xcgnNt3BXaWz+3YqXL7gRuxoXavY3v/7si71leA+7BDAj3ABmA6diigDdtreU3e8WOAB3PXeQP4HwOudS/wy9y1NgEXDuFee4G/OsVxYWw0025sHqufYHtM8+/5trx7/uhQzh3E3hXA3pPs+wXw9dz/I7A9rZ25z+R57AP7V9gopb7cd3n7qb533YpvG0rJfDEQwYbYnYgvYhcmnwfMxS7Zcmfe/lG588cCX8YOqH8Am4Z2CfBlEZmcd/wNuR9fA3bR7EdzP8ix2DHH/5N37G+xwhkDvBv4pogszdv/DuB32Lm/DwL/PoR7DQP/7xTHfQf7kJmHTdLXf2/59zws9/7fAD8SkYYhnns23Ib9PJqwNYo7AGOM+SD24XGDsVXg7xbInuInTqV2bMjbgUH2bwOuz3t9LTYGFmyJ0gdU5F7XYie3X5R3/GpseCDY0vTxvH03YEuSgefXYyOJMkBt3vHfAn6Rd60n8vbNBPpOca8fGHiv2ACHztx9XI6NNOoFpuQdczGwY8A9B/P2t2EfeIOeO4hfVzC0kvmr2AfR1BMctxO4yuvSQzfntqHMZ24HRohI0Jw4Hepx8be5//OXaGk3xxK49aeSac3b34edTM9J9h06wfk1ORuHjQ0GyLd9Yd7r/ETqMSAyyH3ACe7VGHMJQK4DKoAt9aLA6rz+MOH4jB/tA2zEcj4P5dyz4XvYh9hjuev/hzHm2wW6tuJzhlLNXoGNsjlZQP1x8bfYzjE3lhRpARrF5srKtz2UuN+TsQIbkjdYx94h7ENlljkW4zvMGFMzyDmFOPeUGDvj5zZjzGRsrebWvGaHRgeVOKcUszGmC9um+5GI3Cgi0Vxc63Ui8l1su/VOEWkSu3rDlzkW0+oYxq7Nuxz4lohEROR8bPv014OfOeg1O4G7sfNc3y0iNSISEJF5QHXumCy23f/PYrNpIiJjReTaIVz/jM/NHRsZsMmA/W8Xkam597uxzZD+Wk0rdq6uUqIMaWjKGPNDbOD5ndgA9z3A3wEPAF8HVmHjVjcAr+Tec4P3YdPStmA76O4yNo72jDG2c+hWjvXAt2I73T7PsQkCn8f2nr8oIt3AExybT3sqzvTcsdhSPX8bODtoWu56R7C1jB8bY57J7fsW9qHbKSL/MERflSJCY7MVpUTQcE5FKRHKTsy5OakniiU+IiITPPTrjpP49LBXPinFhVazFaVEKLuSWVFKFRWzopQIKmZFKRFUzIpSIqiYFaVE+P8CtxKsvEA3yQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31884\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31932\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "31982\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32204\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32267\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32291\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gene_list_common = []\n",
    "# construct common gene list (union)\n",
    "for genes_file in counts_matrices:\n",
    "    if genes_file.endswith(\".csv\"):\n",
    "        species = genes_file.split(\"_\")[0]+\"_\"+genes_file.split(\"_\")[1]\n",
    "        table = pd.read_csv(counts_dir+genes_file,sep=\"\\t\")\n",
    "        table = table.rename(columns={'Unnamed: 0': 'NCBI'})\n",
    "        # if countsvalue is >5 in any column, then keep\n",
    "        table_filt = table[(table.iloc[:,1:] > 5).any(1)]\n",
    "        species_genes = table['NCBI'].tolist()\n",
    "        #species_genes = [item for sublist in species_genes for item in sublist]\n",
    "        a = set(species_genes)\n",
    "        b = set(gene_list_common)\n",
    "        gene_list_common = list(a | b)\n",
    "        print(len(gene_list_common))\n",
    "        gene_list_common.extend(gene_list_common)\n",
    "        venn2(subsets = (len(b)-len(a.intersection(b)), \n",
    "                 len(a)-len(b.intersection(a)), \n",
    "                 len(b.intersection(a))), set_labels = ('Common_Gene_List',species))\n",
    "        plt.show()\n",
    "# construct unique gene list ()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "64582\n",
      "32291\n"
     ]
    }
   ],
   "source": [
    "print(len(gene_list_common))\n",
    "print(len(set(gene_list_common)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24811\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24615\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24315\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "26209\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24881\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "26425\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24803\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPEAAADtCAYAAABu35PpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJztnXl8HNWV77+nd62WbEmW9914wWCwMWACmC0LgSQzWT4h5GWbyQyfx5vMZ0KGzCMJmYRsQ3jJZN6Ql5nkzcs2WcjGEBISlhCWYIwx3vfdSLJsy9qlXtTd9/1x23Zblm3JUnVVdZ/v51MfdVdV33ur1b+6t84951wxxqAoin8JuN0ARVFGh4pYUXyOilhRfI6KWFF8jopYUXyOilhRfI6KWFF8jopYUXyOilhRfI6KWFF8jopYUXyOilhRfI6KWFF8jopYUXyOilhRfI6KWFF8jopYUXyOilhRfI6KWFF8jopYUXyOilhRfI6KWFF8TsjtBihjjEgQqAIqgXLs/zh/CwCSt2WAZG5LnPHamIECX4EyQlTEfkSkDKjDivXEVpn7WzbGdWWBHqAjt7Xn/nZiTHZM61IuCNHk8R5HJABMABqAibmtytU2WbJAN6dEfRhoVWEXHhWx17DD4SnAJKxg6/DPiCmNFXMT0Iwx7S63pyRQEXsBkRAwDZgNTAfC7jZozOjHCtpuxiRcbk9RoiJ2C5EwMAOYhRWwX3rbC8UAzcBuYD/GpF1uT9GgIi4kIoIV7kXAVCDoboNcIw3sB3ZgzGG3G+N3VMSFwFqTFwALsVZk5RSdwA5glw63LwwVsZOIjAcuAeaijjXnIwPsBDZgTK/bjfETKmInEJkMXIp91lVGRhbYBazHmB63G+MHVMRjiUg9cBV2ekgZHVmsEWw9xnS73RgvoyIeC0QqgRXYYbOvMWAyIUw6TDYTwCCQDYARTDCDhFMEI6mCPhpkgT1YMXcVsF7foCIeDSIRYCmwBB9Ymg2YRBmZvirSfVVk+6ow/ZUE4hVIooxgKkLQBIchUIMJZsiGBuwWHiAbTmEqejDVHUh1B8GqLsLB7JiKPQtsAV7V6anTURFfCNYVciGwDIi53JqzkoyRbmtg4PhETEcdgd5qIiZQoF7UYKIJ0hU9ZKq6yNQcRxoOE4kmRj0f3gu8hDEHxqCVRYGKeKSITASuB2rcbspgeqpJHZ1M+ngD0jWecLLMew4kZb2k6o6QntiM1LUSDWUu+KZyEPiTWrJVxMPH9r7LsVZncbk1J+mqYaBpFqnD0wgnKoi43Z4RkcVUd5GsayUz5QDhcZ0jbn8aeBXYUsqBFyri4SBSC9yIjSZync5akk2zyLROI5Qo95lwz0FZL6mpBxiYtpdIef+I/MePA89jzDGn2uZlVMTnwrpJLgGuwGXDVSpCZv98EofmEE4WkXCHxGBq2knM3IWZfJCygBnWyCcLvIwxW5xuntdQEZ8NO210Ay7P+XbVkNq9mPSRKcSGZTkuMoIDZKYeIDF/M7Foclg30n3Ac6WUkURFPBQis4HrwL0e71gjiZ1LMJ11Y5ypw6dIhuyUg8QXbCIai5/XYNcFPFUq8cwq4sGIXI41YLnCsUYSW5YhfdVE3WqDl5Es2UmHSCzYSPg8z81prPV6Z6Ha5hYq4hNY6/P1wDw3qu+pJrXpCrIdDd6dd/YUWUxjE/GFGwhX9J1TzDuxYi5aBxEVMYBIDHgj0FjoqpNRMtsuJ9k8nTIC3pm68guSITt7J/GLNlF+DgNYG/AExsQL2bZCoSK200dvpsDJ5zIBsnsWE9+7gFg25H2XTa8T6yd16Rqy9a1nHcl0A78txmCK0haxyFTgZgpswDpeT+K1awgmy4oml5ZnqG+hf+mas7p3xrE9cluh2+UkpStikbnYKaSCDWGzgtl2Of0H5lGO6NDZKQJpMvO3kJy7nfIhDg8AvyumtEClKWKRecAqCijgnmpSa6/D9Fep1blQ1BwnfsVzRIaYX04DT2JMkxvtGmtKT8Qi87FW6IIJePci+nctIVawCCLlJOEk6WUvkq47esazchZ4uhiioUpLxAUeQidjpF+5jnTXBJ02cpUsZu52+hdsouKMI7ZHPuRGs8aK0hGxyEysEasgvWH3OFIv34ikYmq88gq1x4gvf+GM4XUa+LWfgydKQ8QiU7DTSAWZyjkymfi6a4jo1JH3iCQYuOJ5srXHT7NNxIH/8uv0U/GLWKQBuI0CrbCwdwH925dSptZn7yIZspe/RHJS02l+6d3Ao37MfV3cIhYpB/4chpxqGFMMmI1XEW+a5XxdyhiQxSxeT3zWrtP+X0eBx/3molm8Ira+0LdjVxZ0lHSQ7JobSHbUa8SR35i7lb5BBq9DwO/xkTCKecrjGgok4JduJqUC9id7FlOxeTl9ebumA29wqz0XQnGKWGQhNhulo5wQcPd4nULyMwfnUbH+avrzdi1E5CLXGjRCik/ENhvlNU5XkwmogIuJ5pmUD+qRr0HEcxlNh6K4RGwNWbfg8HVlBfPyjSRVwMXFwXlU7F50skcOATch4vlpwuIRsU1qdwsOW6INmLXXE9dn4OJk5yWUNc08KeQJwJVutmc4FI+IbT5oxw1ZG68ifmySTiMVLYJsvJLYsUZOzBdfjMgMV9t0HopDxCLjsEuqOMqBufTrPHDxYwIE1l5LuKuGVG7X9YgM9rv2DP4XsR1GX4/DLpWd40luXabPwKVCNkRw9U0E+ssZwK63dUPut+Y5/C9iWIzDubGSUTKvXE9AQwlLi3SE0NrryWQFA0wGFrndpqHw949SpAq7LrBjZAWz5gYGNBqpNOmpIbbt8pOGruW5pIqewt8itgneHQ1s2HQl8e5aHUaXMgfmUX50EgkgisOdxoXgXxGLLACmOFlF00w1ZCmAIK+tJJSMkQYuQqTO7Sbl408Ri0Rw+I6YjJLZsqzIFy5Thk06QmjtdQxgs8J4yrfanyKGS8DZIe6Gq0imI95bpFtxj84JlO24hD6gIZerzRP4T8TWsLDEySoOTyV+bLIOo5Uz2bOQ8t4qUsCVuRGh6/hPxLAUnLMUD4TJbFqhlmjlLASQDVeTAcqAy91uDvhNxNZrZrGTVWxcQXIgqsNo5ex0TqCseQZxYHEu6MZV/CVi61rpmGfWsUYSrdN1GK2cn62XE0oHEax9xlX8I2LrH+2oMWHzFZrcThkeqRjhHUuJA4vcdgDxj4htL+xYe1+fRX9/pS6xogyfA3Mp760ii8OG1vPhDxGLVAJznCo+K5gdl+hzsDJCAsjGK8lge2PXfj/+ELE1Zjk21D04j3iyXB07lJHTUU9Zu/XfWuBWG7wvYnuHc+wLygTI7rpYBaxcONsuI4tNHuCKTcX7Ioa54Nyz6t6FxHVKSRkNnXWUtdcRBVzJAOIHETuWejYdJLt3oUYoKaNnx6VkcWlI7W0Ri0wA6p0q/uA8EpmwLnqmjJ72Bsp6qmlwY7rJ2yIGRxN475+vw2hl7Nh1MVlgdqHr9a6Ibb7feU4Vf6yRRKJCDVrK2NE6jVi8jFmFrte7IoZpOGjQ2rMQ3yyYpfgDEyDQNIvanF9DwfCyiB2z9CVjpI83qEFLGXuaZhHEzqgUDC+LeLpTBR+YS5KA+kkrY09fNdHO2sJONXlTxCIN4NwyKa/P0XhhxTmaZlGJyPhC1edNETvYC3fVkEqoi6XiIC0ziEDhDFxeFbFjw5GWGQw4VbaigA1TbJnmnH/DYLwnYpu9Y4JTxR+ZonPDivO0zKC2UMuiek/EDg6lk1EyvdU6lFacp20iZUBDIeoqKREfnkYSUau04jzpCKGWaaUrYsfWGG6d5lTJinImbY3Or5cNXhOx9XRxxAkjK5j2enXwUApHbzV1hXgu9paIwbE1bo43kMwGPXe9ShHTVUsZDkbhncBrP2rHRNzeQNapshVlKDJhgq/Pcn5IXTIi7hyvBi2l8LROpcbpOkpGxD01Oj+sFJ7uGmqdrsM7IhYpA2dWX0iHyCbK1V9aKTyZENVO1+EdETs7lE45VbainItUhGjPOKlwsg4vidgxV8uOOjVqKS4RQPYtYJyzVXgHxxYy63Ts9qAo56dnnLND6pIQcV+VZrRU3CMV05541KSinrpOpcTIBFXEoyYV0eklxT1UxKMkGSWj+bQUN8mEnEs1BV4RsUgEnOktE2VqmVbcxQgRJxdb84aIHRxKJ8vIOFW2ogwLIfCH25xzNip6EcfLtSdW3Ke/yrkwWE8YfO6GBT+Dz5x43wl1fwaP/RSeAXgn3PJLeNcmuGcJ9O6FsrfARzpgfBaCfw5PfhteArgB3rkJlgCyALZ9u4z/cOmyPMWWo9R+bTUfjqcZJ2CWNvL8vdfwhxPHv/wCt7zUxLv+91u4Z2YNvYd7KPvH5/hIb4rxxhC8ehpP/s0K+x0//ApXv3CIWwGunc5v717BaoCP/pqP9Q8wzhiCk6rY/eWb+FEkqCtt/Hgzi3+yldeyPxaA7xhjvjKW5XtCxA/DoYfhAYAEyAR48K9hPcDzULseFlVB+4nz/w5WTYXDu+DhjVB5JTzwEKz5PszYDXOa4XMAc+De/3OchW+CQ+5cmXcIB8i+bwk/v3k2h472Ef3YE3z6xUNsf8N0Dm85Su3eDhaVhU59x99Zz6q6Mg7/2208vL+Dynue5IGPLGVNe5zo84e47aFb+KII3PMkn3r7AjZOrab/Czfw7xMrSWQN3P1b7vruBpb91TJedfO63SaVQR7dyR3Xz+K2Z/exAVgrIo8ZY7aNVR1eGU6fbMdDsLAWjt2YE+1d8J7Pwy/g1B1dwMQhlgGOQDQGfeWQDQADEO6GUCeEMxCcFqO74FfjQS6qo+vm2fZm1lBBsibG4eYeGyb3zbW8584lZ37HyQyxrIHOBNFwkL5oiOxv97B4ShXbp42jf2o1/VOq2P6b3SwGmFhJAiCZJpg1BHVKAJ7ay6yqCMf++moOG2NSwE+At49lHV4R8cn/96/giuvhFYD74JLx0Pl+aMo/+V/g2RZorIYH3wqf/Rj8NAzmbti3EHZOg6/OgAeXwLY319Fc6IvxOhtamXA8zrRVM9j//Y1cUhmh84ZZp3/Hf7WMZ9vjNL7nZzz4uef47O3z+WkogGnvp6YmdqrHHhejo73/VMzsXz7G377vlzwUDpD44FLWFfK6vEhrLzVVUdrllNaagCljWYenRNwFwW1wycdhXStEvgu3fg8eG3zyv8DiGdDUDfc+Cg98A+7YD7HfQH0zNO6BT+6BT26Di75z2Nk1jv1GWz/R/7Wau26dyyORINmn93Hr31115nf8650srq+g6ZF3c++nruOBx3Zyx5FeYoYh5tzz9nznbXzje+/g7zOG8K92sMDRi/EBQ35fjK2dwCsiBuArcPEkOLQMep6F+k6ouww+Uw1f6oXalfCptVD9GKz8M3gtCLwVjtVC25PQ+H/hsotg/zRIToPkUtiyoce5NY79RnyA4D88zV2L61nz4ctYv+kI9X0D1P3t7/jMe37GlxJpav/+KT61+zjVa5pZuXIqrwUErpjMscoIbetbaZxQTkdngpPrDHUlqB1fRmd+PdVR0hfXs/HVFpYW/iq9xaRKOnqS5K/LNBVoGcs6vCLiLMDjsOImWAtwBzT3wye64b5uuK8SOl6CL14B3ROg/UlYCLAOqtpg4kpomw7tW2F+PwR6ILgV5s+O6XAaIGvgk0/zgQnlHP6HN/A0wPUzaf7Fe/jEI+/mvkfezX2xEB1fvYUvzptAd1WU9vWt9jve005VT5KJC+pou3UuW5u6WdTUTXluW3TrXLa29RPd2WbdC5NpAtvauHhiBYfdvGYvcPNsDvSkaPjeOqaKdWp6L0OMLkeDJ6zTgGmFyG5Y+Cj88Hwnfx1+cyd8qA7uB+QD8Msl0PsVWPcSLJgGnwXMYtj6iSlsOODgPLRfeHwXc/d3clV1lOb3/9JO571lHr+6cwlbhjr/o5fzm4de4kN3/oL7DciNs/jlzBp6Aa6dzuP3PMl9ANfO4PFp4+jf007VF17g7qwhZAyBKdXs+JsVPF+4K/Qm0RDZt13Ej3+2lR9gh9H/YYzZOpZ1iDEemMYTmQPc5ETR25bSt28hjmZWUJRh8OhtPzJHnSjYK8PptFMFR5Ia/KB4Asd+414Rcb9TBZf1q4gV94kk7By6ExS9iGMqYsUDVHaRdKpsr4g47lTBsX5NzaO4TJbMymeMY9F03hCxMVlwZrgRi6uIFXcJZJ0bSoNXRGxxZEgdzBIIpDWmWHGPYIYeJ8svehEDRFIqYsU9ghm6nCy/JEQci6uIFfcIpZyNpCsJEVd3aGC64h6xROn0xI7drWqO6zST4h4TjpZOT3zcqYJr2zzjI66UGIE0mXlbS0fE7eBMUruqbsKBjCbMUwpPeIA+bEYPx/COiI3JAB1OFV/Ro8ubKoUn6vDzMHhJxJY2pwoe16E9sVJ4xh9VEY8ZNY6VrChnZ+oB537TJygZEde3OpeBX1GGoryXZE07rU7X4zURH2eMk4idoKKXcKxfn4uVwlHVSQ/GOJ4y2VsiNiYNpyddG0saWpwLzFaUwVR34kgmj8F4S8SWMc0EmM+kQ568XqUYMZgpBzhWiKq8+KM+6FTBdUeIBjWiSSkAld2kKnsKk+3TiyJuAQacKFhAxh91LsOCopygoaUwz8PgRRHbBAGO5Yqe9LpTJStKDoOZscc5N+LBeE/EFseG1I1NRMlqVJPiHDXHSVT0Fi5xvldF7NhSpJEUwQlHnU2XopQ20/aRBg4Uqj5vitiYODhnnp+1y6mSlVInkCE7+RBHnQ56OK3OQlV0ATjWG09sJhZO6pyxMvbUtZIID7C3kHV6WcQHnCpYQKbuVyu1MvbkhtIFNZ96V8TGtINzk+VzdqiBSxlbov2kJjbTkgurLRjeFbFlh1MFx+KE6lvVwKWMHXN2kA4Y9hS6Xq+LeC8OLkQ1d5vm3lLGhuAAmRm7yUDh12T2toithW+fU8VPOEZs3HHtjZXRM2MPiWCW/biwVrC3RWwZ0wWZB7P4Ne2NldGRS4YXBba5Ur8blY4IY47h4Jzx+Dai4484t6CbUvzM2EMyPEBToXylB+N9EVu2OFn44tcIYtRSrYycvF54k2ttcKviEbIPB1eIGNdJpKFFn42VkTNnB4lIiuMY43ganrPhDxHbyKb1Tlax+DVCOm+sjIRYP6l5WygHNrjZDn+I2LIdnFsisqKX8ORD+mysDJ9LXiEbMHRgzAE32+EfEdveeJ2TVVy8jmgopT7Vyvmpa6W/4TAxHB4hDgf/iNiyGwcT6UVSBJesdSariFI8SIbspS8Twf4WHfNjGC7+ErGdSF/rZBVTDlFW1+qcEU3xP3N2EC+LEwJedsO5YzD+EjGAMftxMDAC4LLVRIIDmlBPOZNYP6n5mykHDmGMY+GyI8F/IrY42htHE4QWrddQReV0JEt2+fOYgPUpWO12e07gTxEb04SD+akBZuylvPaYWquVUyzYSKKmI+fYYYzjC6UNF3+K2PICDkY4ASz7E2G1VisAE1qJz9lBOdAHvOZ2e/Lxr4jtnfBVJ6uIxQktf4G0OoGUNpEEA8tfJJJ7uya33JBn8K+ILZtxMDgCoO4osQWbdFhdsmQxy18gGx4gCBzGmIIH/Z8Pf4vYmvefA2cXEJ+7nfLG13XaqRSZt43+8W1Esb+xP7ndnqHwt4gBjOmgAM8ol71ErKJbLdalxMQm+i/aTEXu7Zpc3jfP4X8RWzaAs8tmBLMErvoDQTV0lQY1bcSXvUhZ7u0hjNnsaoPOQXGI2PpVOz6sLosTuuJ50pJxth7FXSq6SV71B6IBg2BDYP/ocpPOSXGIGMCYNhx2AgGbl2v5iyTVYl2cROMMrHyaUChDADDAsxjj6Vjz4hExgDEbwfns+xNbKFu6hrhmAykuQinSK5+GaJJgbtdGjHFshc6xorhEbHkOh5+PAaYeoHzJWhVysRBIk7nqWTIVvYRzu47isB/CWFF8IrYT8U+C8+l2ZuxVIRcDwQEyK58hXdNONLcrBTyTs7V4nuITMYAxPcAz4Ly4VMj+JpQifc1TZPIEnAF+n/sN+YLiFDGQe5ZZU4iqZuylfNmLJAJqtfYV0TgD1/4eU9110qUSrCGr4Ks4jAbxQEyzs4jcCMwtRFWdtSRfWUUgFTv5XKV4lIpukiufIRhNEMrbvdrL88FnoxREHATeAkwuRHWJMtKrbyTTV31yeKZ4jJo24lf9gWhuGukEmzDmZdcaNQqKX8QAImHgrUBDIapLB8muvY7k8caTHj+KR5ixm76LX6VcOG35nr0Y84xrjRolpSFiAJEocDswvlBVbl5O38F5J31vFRcJDpC5bDWpxuYzbqwtwG/9YokeitIRMYBIGXAbUFuoKlumEd+0gnA6ctqzl1JAKrtIXPksoVxyu3zagMdzq2/6ltISMbgi5GSMzLqVpNon6vC60EzfY4fPOT/ofI4AT/hdwFCKIoYTQn4rBRxaA+yfT3z7UqLZYBFP7XmE4ACZpS+TmtQ05I2zBfid1zJ0XCilKWIAkRjWal1fyGr7Khl49VoyPTXECllvKTHpIP1LXiUaSZ30gc7nEPAUxhRNSuLSFTGASAhYBcwuZLUGzK6L6d+7kFg2NOQPTbkAyntJLl1t15w+yyk7gRf8bMQaitIW8QlErgAuK3S1ySiZrZeTbJlOGYEzntmUYRLIkJ23hcTcbZQNmjrK5zWM8UVAw0hREZ9AZB5wPS64ovZUk9q0gkxHvRq+Rkr9YfovXUMkdqbl+QQ2N5Yx2wvZrkKiIs5HpBF4I7jzvHp0EonNywnEK0/z5VUGYzD1rcQXbCA0rvOc31Uv9vnX0WV/3EZFPBiRauBNFHAKKh8D5vXZxHcvJqRiHoTBNLQQX7iBUFX3eb+bQ9hghqJPbqgiHgqRCHANMM/NZhyZTHzXxUjXhBK3ZGcxjU3EF24knBe0fzbsypnGbChE07yAivhciMwCrsWl4fUJuseR2rOIdOs0YqU0xxxOkp5ygOTsHUTK+4cVGdaPDeb3VSjhaFERnw+RcuA6YLrbTRkIkzk0h2TzTILdNUSQ4rNoS5bs+KMkZ+5GGpuInsPaPJgWrIBLbrUOFfFwEVkAXA3eiBVOxkg3zSTVMoNAVy1RXwvaYMZ1kJy6j+zUA0RzS6YMlyTwSjFbn8+HingkWKPXKqDR5ZacRjJKpmUGyeaZSFcNUeODIXe0n9SEo6QnNiMNh4mMULgn2A28XIq9bz4q4pEiIsAiYBkuPysPRVYwXeNJtU0k094AXbWEvZBpJJQiXdvGQEMLZmIz4WE+456NLqznlaNrVPsFFfGFYi3YlwEXg7ddJ+NlpI9PJNVej+mrJBCvIJAsI5RxwOUzOECmopeByi6y1Z0wroNAdSehQWlwLpQMdsmeDcXk+zxaVMSjRaQSWEGB8niNJQNhMv0VZPqqyPRVYRLlmHQIyYQgHYZsADECRuzfQBYTSUJ4ABNOYiJJJJKE3F+p7CEcTTh2QzuEzYHV5VD5vkVFPFaINABX4bHn5SLgANbvuc3thngVFfFYY+eWl1HgWOUiZD9WvI6v5uF3VMROITIVuBSY4nZTfIThlHg9uRawF1ERO41IHdb4NQePG8BcJA3swy5g1uF2Y/yGirhQ2EwiF2Gnp6pcbo1XOA5sB/YUQ64rt1ARFxo7zzwZmJXbSi2GOI5dfnZ3sYcIFgoVsZtYQU/EpgeaBUWbozoBvA7sAZqLLT2O26iIvYSdppoNzASq3W3MqMgArUAz0KTTQ86iIvYqNnpqYt5Wh7cNY+1AU25rLZZ0sH5ARewXRAJYITdgRV0PVFL4nGBxoAMr2o6Tr0dgmBKRJ4CfGGO+N9LKReRbQLMx5gERWQX80BgzNXdsK3C3MeaPIy3Xz6iI/Yx9pi7HirlqiL9l2NDJ4Qg9gw3rO7El8l73AB0BWG3sTSTfb3m+cSkQYbCISxVdH8jP2DtwX247ctbzbC8eym0yaMsCieEMf42IAW43xjw96rYrY4bn406VMcCYLMakMKYfY/owphdjejCmO/d6zJ9fRSQmIj8UkeMi0ikia0VkYu7YH0XkL3OvPyQifxKRr+fO2yciK3P7XxeRoyLywbxyvysiXzhLnQdE5Obc6xUi8qqIdIvIERH52lhfo1dQEStO8UFgHDANmADchX2eHoorgU25834E/AS4AhsZ9n7gX8VGi42EbwDfMMZUY73lHhnpBfgFFbEyUh7N9ZidIvLoOc4bwIpyrjEmY4xZZ4zpPsu5+40x/8/YGOGfYoX/eWNM0hjzJJBi5KGeA8BcEakzxvQaY14e4ed9g4pYGSnvMMbU5LZ3nOO8HwC/B34iIi0i8qCInC2bR/7zfBzAGDN430h74r8A5gM7ckP520b4ed+gIlYcwRgzYIz5nDFmEbASuyb0BwpY/25jzB1Ya/o/AT8XkaL0iFMRK44gIjeIyBIRCQLd2OFtwVLqiMj7RaTeWBfPztzuokzpoyJWnKIR+DlWwNuB54AfFrD+NwNbRaQXa+R6rzEmUcD6C4Y6eyiKz9GeWFF8jorY54jIt0TkMy7VfaeI9A6xbXWjPaXKsEUsIu/LecD0ishhEXlCRN7gZOPcQkTeKyJrRKQv5zG0RkT+u1hfZTfas0pEmoY6Zoy5yxjzwDDKOOnNNFYYY/7TGFM5xLZ4LOtRzs2wRCwiHwf+GfgSNoJmOvBN4O3ONc0dROQerCHkq1jjzESst9E1oOsFKx7EGHPODes61wu8+yzHo1iBt+S2fwaiuWOrsPGl9wJHgcPAO4BbgV3YcLb78sr6R+BnWCtmD7AZO2H/P3Offx14Y975k4HHcuXsAT46qKxHgO/nytoKLB/GtfYB7zzPeVHgIWxC8yPAt4CyQdd8T941f3g4nz1HfauAprMc+y7whdzrOuBx7JRKO/AC9kb9A2ygQzz3v7z3fP933fyzDacnvhq75tCvznL8U9ik6UuxKVpXAJ/OO96Y+/wU4H7g21h/2GXYtX/vF5HZeeffnvvR1QLrsV4/gdznPw/8W965P8YKZjLwLuBLInJT3vG3Yf1wa7Bi/9dhXGsU+K/znPdP2JvLUqw74Ilry7/mcbn9fwE8LCK1w/zsaLgH+33UY0eXv9NwAAAClUlEQVQQ9wHGGPPfsDeN240d7j44RvUpXuB8KgfuBFrPcXwvcGve+zcBB3KvV2Hv/sHc+ypsbuEr885fh3XlA9t7PpV37HZszzH48zVY/9oMUJV3/peB7+aV9XTesUVA/DzX+v7B1wq8hO3Z4th1igXbW8/JO+dqrP9v/jWH8o4fxd7ozvnZc7RrFcPriT+PvQHNHeK8A8DNbvcauo39Npx44uNAnYiEzNAha5OBg3nvD+b2nfy8ObX41YkolnP5xQ4+1jbE5ytzdbQbY3oG1b08731r3ut+IHaO64AhrtUYsxIgZ1gKYHu5cmBdnp1LOD11zvFBdfTn2jycz46Gr2JvXk/myv93Y8xXxqhsxaMMZzi9Gpvl4WzO7i3AjLz303P7nKYFGC8i+Tmcp2OTs10oq7GZLM5lsGvD3kwWm1OBAOOMMcNx0B/NZ8+LMabHGHOPMWY2dhTz8bzHC/XqKVLOK2JjV6G7H/tc9w4RKReRsIi8RUQexD6XflpE6sWudnA/BXCvM8a8jh3qfjkXgH4J9vnzP0dRZifwOeCbIvIuEakUkYCILCWXTtZYX9xvA18Xm50SEZkiIm8aRvkX/NncubFBmww6fpuIzM3t78Y+bpwYxRzBZtJUioxhTTEZY74GfBxrsDqGtRL/D+BR4AvAq9ig7s3Aa7l9heAObHrXFqzh7bPGmKdGU6CxRp+Pc8qifgRrTPsk9qZB7vUe4GUR6Qaexq7uMBwu9LNTsL14/jZn0DnzcuX1YkcV3zSnksZ9GXuz7RSRTwyzrYoPUN9pRfE56napKD6n5EQsItPP4u/bKyLTXWzXfWdp0xNutUnxBzqcVhSfU3I9saIUGypiRfE5KmJF8TkqYkXxOSpiRfE5/x9XPLOhnUAQBgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24650\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22299\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24612\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24284\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPEAAADtCAYAAABu35PpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJztnXmcXFWZ979PVXVVV++dpbN09n0hC4SEQFiCAREQxxVR0I/O6Ofj+r4qo46IzqgIOo6Ovr4u8zrDOLiA4MI4KgJRRJYEyErIvnSWztZ7d7qrutbz/nFukUrT6e4kdbeq8/18bqqr73Ke27m/e855znOeI0opDAaDfwm4bYDBYLgwjIgNBp9jRGww+BwjYoPB5xgRGww+x4jYYPA5RsQGg88xIjYYfI4RscHgc4yIDQafY0RsMPgcI2KDwecYERsMPseI2GDwOUbEBoPPMSI2GHyOEbHB4HOMiA0Gn2NEbDD4HCNig8HnGBEbDD7HiNhg8Dkhtw0wFBgRASqAKuuzDP3/nNtyL26xtiyQAPoHfOrN5DT2PEbEfkSkDBgDVFtbVd5nFYVrYSlEkkAv0GltHUAnSvUUqAzDBSLmResDROqBBmCc9VmPrkXdJM2Zwj4BtJqa23mMiL2Gbg5PsLacaMOu2jRyEsAxoBloRqlTLttTEhgRewGRANAITAemAeWu2lM4esgJGo6hVNJle4oSI2K3EAkCk9HCnYp/atvzJQMcAfYCh1Aq67I9RYMRsdOITALmAlPQnuNSJAEcAHahVKvbxvgdI2InEAmjhbsAqHXZGq/RBuwC9pnm9vlhRGwnIjXAYmAOZjhvONLADmArSsXdNsZPGBHbgUgDsATtpHJ7KMhvpNE18xaUirltjB8wIi4kejx3JdphZbgwMpwWc5/bxngZI+JCIBIFlqP7vabmLSwZYDdazL1uG+NFjIgvBJEQus+7hCLxNCfDZNIhsukyVCaEygRRyoqyzgYgmIZwgmA4QSCcIBBQjr20ssAWYDNKZRwq0xcYEZ8POqpqNrr2rXTZmnMiUU76VA2ZWBWZvmpUXxUSryTQX0EwGSGoAucWdy0ZsqE02VCKbFmSbFUP2epuqOsgUNNFKNJfcIdeD/AsSjUX+Lq+xYj4XBEZDVyDnoDgabKC6hpNqr2BdHsD0lNPKFnubIshmCJT0UequptsfRs0HKWssq8gNuwD1hlPthHxyNG171JgGR6dh50VVNt4EicmkekcQ7C3mrAKes/WSJzU6JOkxh1Dxh4nHE4SPM9LJYEXUWpHIe3zG0bEI0GP916LnpDgKbKCaplIonka2dYJRDJl5y0Id1CoylOkxh4nNfkAZbVd5xV+2gL8FaU6Cm2eHzAiHg6RBehhI88Ea2QFdbKR/ubpqLbxRDIhnwl3CKK9JBsPkZq6l0g0fk5/8wzwHErtsss2r2JEfDZEKtB9X8+M+fZVktq/gOTRqZT7rsY9VxSqvo3+aXtgwhHKz8ELvgft+ErbaZ6XMCIeDJEp6OZzxG1TAFom0L93IapzDOVI6Y1Dh5Kkp+0lMWsH0VB6RH38DuBJlOq22zYvYEQ8EJFF6Oazq2JRoJqnE9+7kGCs2hsvE7cJpslM3Uv/7O2Ul6WGbYmkgKdR6oATtrmJEXEOPTF/FTDfbVOOTiW+42JCiWhxBJAUmkCazJQD9M9+hfJIYlgxvwKsL+b5y0bEkJsqeD06u4ZrdI4m8fIK1Km6osnsYSuBDNlJTcTnbxm2Zj4BPI5SCadscxIjYj189Aagzi0TYhWkti0n1TqRCrds8DOhJOkFm0lOOTDk368L+EMxxl+XtohFJgCvxyUHVjpEdudS4odnEj3XcEfDa6ltp//idQSqTp11rLkPeKzYxpNLV8Qi04DrcCn6qnUc/ZuvIOh0GGSxI1myU/cSn7+FaDA76P9tEl0jtzhtm12UpohFpgNrcEHAWUG9cimxwzOpKMXhIqeIxEkteYFMw/FB/Qsp4I8oddxpu+yg9EQsMgN4HS4IuLuO5IarIF5V9JktvYFCTdtDbOEmKuS1Q4Zp4IlimA1VWiJ2qQZWoPYsIrZ3ARUETO3rNDUd9K/4K6Hy14ZxZtA18lE37CoUpSNikcnADTgs4GSYzPprSfWMMsNGbhJKkln2HKmxJ17z/5AE/gel2t2wqxCUhoi1F/pGHJ7E0FtNct3rIFFhms+eQKFm7CI2f8trmtcx4FG/Dj8Vv4j1JP5bcHiFhdbx9G+4irJimmFULNS1EV/5FJEBcdidwG/9GBBS3CIWKQfeil7u0zGaZhPbfglR0//1LhWnSKxaS3BA+qDj6OEnX+XwKl4R61jom4CJThb78nL6Ds/yV96tUiXcT+qKtagBwSEHUGqta0adB8Us4iuAi5wqLiuol64h3jrBhE76iVCS9Mo/k6nrPCNqbxtKrXPNqHOkOEP9RObgsIBfXG0E7EfSYULrriPUMYb8vvAiRGa7ZtQ5UnwiFhkLXOVUcTkBt403AvYrmRDB9a+jrK2B/rxfX2lNjvE8xSVivRLD9eCMR1ihm9BGwP4nGyTw4jWU9dSSW5mxDFhj+VY8jecNHDE6pewaHPREb1xlmtDFRDZEcN0aAvEoufxcY9ELBHia4hExLMRBT/TLy+k7McUIuNhIRQg9dz3ZZJjcMNMSa2F4z1IcItZ9lxVOFdc0h5gZRipe+isJr1tDKhMgl9JntdVV8yTFIWK4GodCKjvGkNhxsYmDLnZO1VH+4jUkFCigAljtsklnxf8iFpmPQ83o/ijpF68590XHDP6kfTzRl1eQW+h8svWseQ5/P4wilcBlThSVFdQLq0mnw95ZCcJgP0dmUnl8ErlF25Yj4rn0wf4WsR4PdmRiw5aVxE0WytJky0rC/dpjXQ5c6rY9A/GviHVEzRQnimqaQ+zYNOOJLlUyZQRfvJq01T9egMgot23Kx58iFgmhV2mwnb4qUjuWmhq41OkZRfnOpcTQ85BXuW1PPv4UMSwCHHH5b1xFxotr/Bqc58A8KlrH0Q9MQGSm2/bk8N/DqR0LS5wo6sBcYiatjuFVBNm0ilCqjAyw0moRuo7/RKwFbLszKx4lvWuxWcjMcCapCKHty0gAlcDFbtsDfhOxXjPYkSmGm1aRyprUOoZBaJ5GtLuOJHrKouuRXP4SsX7z2d6EOTSTWOdYZ/rcBh8iyNaVZNHP4iK3zfGPiEWqcWDZ0VQZmR0Xm2a0YWh66ik/PIMYsNDtABD/iBiW4YC9uxfRnykzzWjD8Oy4mHBad7kcyyIzGP4QsQ6vnGV3MYkImcOzTDPaMDLSYULbLyGOro1d81T7Q8SwAAds3bmU/qwZEzacA0emU9FXSRCY45YN3n9gRYI40BeOVZA6Os3UwoZzJIDsWkIKF5vU3hcxzAT7Ay52XEzKTDE0nA/HJxONVVCJiCOx/APxw0O7wO4CeqtJnphkamHDeXK6NnZlvrG3RSxSDzTYXcyuJaTNkiuGC+H4ZMoTESa6MdzkbRHDPLsLSETInGw08dGGC0MFCeyfTwqY4XTZ3hWxzvdrexb+prn0m76woRAcmkUkHTQizmcyNju0FKjDM83awYbCkCkj2DydeiuuwTG8LOKpdhdwspH+ZDlldpdjKB2aZyDoERXH8LKIbXfXN7k2PG8oVrpGUR6rZLqTZXpTxCJjwN6cVokImfYG49AyFBhBjkynCpE6p4r0pogdaEofnknCDCsZ7ODoNEI46KX2qohtb0qfmOTZezf4nFg1kc7R9sc35PDeg6yzd4y1s4h0iGx3vZkzbLCPI9pL7ciUVu+J2IFa+GSjaUob7OXkJMqxuTLKUZIiPuZKmLqhlEhEKWtrYJwTZXlRxLbfeHuDGRs22M/JxlKsiXV/2NbZRB1jSJhF0QxO0FvLGCt82Fa8JWIH+hDHppC2uwyDAaC7nigOPNNeE/EYuwvoGuO5ezYUKclyyk402t899NoDbbuIT9WYCQ8G5zgxCdtXUCwpEccqSJl0tAYn6RpNrd1leEfEIuXo9W1so3OM6Q8bnCUZocbuMrwjYgea0p1jyNpdhsGQTzJM+alae+cXe0nEo+0uoHuUp+7XUAoEkEOz7G1Se+mhtj0bwqlaE+RhcJ6eeqrtvL6XRGzr/OFkmIwJ8jC4QaK8dGpiW0UcrzD9YYM7pMvsdW6VjIgTUTJ2Xt9gOBvZoKmJC4KpiQ1ukQna6+/xhohFysDe/mp/BcrO6xsMZyMbIIyIbfPXvSFim2thgLjtJRgMZ0EI/PmN9o2MlIyIE1GTycPgHqmwfemgvDLkUg5wK6z5E1wloCbA0afgx5ug9n3wwThUNsLh5+D+Wsh0QugqeH8zTK2A3gfgR9dB+0dhxSNwQ+7CrdD4X3DPtHL2uXZ3HuGVFuq/tY73x9PUCqil4/nrZ1bx59z++57h+uebeft3b+TOaXX0/nADK545zBsAQgES71vCz66dTjPA159lzdaTXAWoUVGO3ruGH9dEToe1fvpJbtvbzhWP3sb/cvxGPcaD21j40HY2Z3WL+t+VUl8r5PW9UhMHn4O6x2HNTvhqG3wpC4G7YPkn4W3vgLWd8IVKiH0MrgT4OKyqhFgX3P0OWPsJeCvA9+DFFvhKC3zlO3B/DbS/F5rTIVMTlwXIvnsRv3zwbfzjt9/AfZuOc+2zh5kAWuD7O1kQDdGRO35SDW1fv45/+dlb+fINM/ndf27hDoCdrdRtPM6aH9zMV3/+Nr6kFIEHtrI8d94T+5maSNvfuvIDyQzy6G7ede003o1epvddIlLQ5Xq9ImIByEKgHcpiEEhCeBJ0H4C598EmgPfCuudgKcDzsPS9sA7gPti0H+YNHEP6D1i+Al4CUGJEPHcM3dfN4DBAQyWJunKOHz1FHcD3X+LW2xfxKzjtAHzjHA5MqiEGcPVUmuIp6nP7FAR6EpQl0gRSWcJjK+gG/dA+9Apv++hyfuXozXmUJ/czvTpM60cu55hSKgk8BPxNIcvwiogDq6DrZnhiMXxtNHwjCvG3wOGI9kllARZBZw/6oeuBusXoWqMCshGI74Cq/ItugEv/Dl4EI+KBbDnB6PY4k1dPpemBrSyuCtOVayoPxk+2smpSLa8AzB9L1/KJPPHxx/jau3/NNyIh4u+8iB0A317PtXNHs3XuGC3qUudEL3XVETo4rbVmoLGQZXhFxLIbKtbD0g1wVwt8Jgnh78PCQY5V1j+vEWUgrxb5IUwPQfI2OAagxAwx5WiLEfnmOj500yweDgfJrj3ATZ9cyW/PdvyvdjL35Rau/ORKfg3Q3EPFrjaW/usN3PXTt/CZVIbwD17isl1t1O5oZdknVvKUc3fjbXLPafrMSqSgz6JXRMy/wfwx0LYEeqshsxo2b4aZCYjGLDu3QX0N+g1fC50vo7MmxCCQgOg86Mtd7+ew/AqrKQ0gg4i+FImnCP7DWj60cCwvvP9iNr98krF9Kcb87z/yhVsf4d7+NPWffpLP723XoYJ/OUjjw9t5zycu43tTavXf94/7mF8ToW16Pb3RMjKLxrF5fyczNxxjSm+Shvf8hntufYR7M4rwO3/JPe7esbtMqKLzVOKM7B6TsCqWQuEVEWfnQEcTzDgB4QzwAsybAcdnwO7PwSUAD8DlV8AWgMth6wNwOcDn4JIZsDuXsiMFsgmWfTRPxChTE2cVfHYt7x1dwfF/uJK1ANdM4+ivbuXvH34Hdz38Du4qD9H5jev56uzR9Gw7yagfbODD71nM/ZdNoiV3ncZqOlr6mNEZJ5xVsKeNeeOqOH7HYrb98lY+nbtWUEj+4u3c7d4du891Mzh4KknDAxtoFJEwcBucvdVzPnhliEl9CJoehY0L4PMByE6CI9+DZ16Ebe+DD/4XvLkRDn8XngP4Djx7DfxtHdwThb4fw49yF/s2zK6BzhugLfe7gBExv9vDrKYuVtZEOHrHr/kCwI2z+c3ti3RfdyD3b+HmZIbKh17h9odeAREyP3kL9944m6b1R9n4kT/weYHsmAqOfPhSnnH2bvxBJET2TXN58JHt/BTdjL5fKbW9kGWIUh54tkVmAmvsLOKpm0n01Zj1lwyu8d9v/Lk6aceFvdKctj33VVnSTIAwuErKrgt7RcRxuwuI9NtdgsFwdsL9JOy6tldEHLO7gPK4qYkN7lHVjW3VSOmIOGaGmAwukSVzxZ+UbUkpvCFipbJg35sK9GCzweAGway9z7Y3RKyxVWblMU/dq6GECKY5Zef1vfRg2yriaMws32Jwh2DG3jjykhFxeYygidoyuEEwRY+d1y8ZEQezBMpjZi0mg/NEY6VTE9vabwCo6bJvwN1gOBujW0qnT9xudwF17aY5bXCWQJrMrJ2lUxO3g70BGfVtxrllcJayFH3ojB624R0RK5UBuuwsoq7DLKhmcJaKXnudWuAlEWvahj/k/ClLEYzETb/Y4ByjW+xPU1RSIgbj3DI4iEJNaqLV7mJKTsRjTthdgsGgqeglWXUK2584L4rYVg/yhMOmX2xwhppOelGqxPrESqXB3j5ERYyyil5s9RYaDAC1XafzktmJt0SsKWgmwMFoOGb6xQabyaIaD5auiA/bXcDEQ55JEGgoUmq6SVT0YUtOrYF4UcRHsTnnVn0b4VDSxFEb7GPCYfpQyta4hxzeE7EO+jhqZxECMrrF9IsN9iBZslMOnF6Yzm68J2LNIbsLaDxo0vUY7GFUK4lIv/2+nRxeFbHt/eLxzZSbJrXBDiYfIAM0OVWeN0WsVAybAz8CCpl42L40oobSJJgmM/4IrXZPesjHmyLW2N6knr7bBH4YCkvDMZKhDPudLNPLIj5odwHVPYRrOuzNRGgoLabsI4MDFVA+3hWxUu04kChg5k6TKMBQGCp7SIw9yTFrhMUxvCtizS67C5h4mPJwv4ngMlw4s3aQBfY5Xa7XRbwXsPWtJiBT95kxY8OFEe4nNakJhc0xDoPhbRFrD5/trvqZO4ia4SbDhTBzJymBA7iwVrC3Rawp6ILMgxHKEJi1w9TGhvOjLEF62h4iOPCsDob3RazUSRxIFjBjF1HTNzacDzN2kQxmOYpStqfiGQzvi1jzit0FBBQyZ5sRseHcKEuQnrGLcuBlt2zwi4j348BC5FP3ES2PmWa1YeQs2EwqmKUDpRyLlR6IP0Ssx9222l2MgMzbaq833FA81HTQP7mJKLDFTTv8IWLNdqDP7kImHSRq56ruhiIhi1q6ngA6V7pjkx0Gwz8i1rXxRieKWvYsAcnauxqFwd9MbiJW000Y2OzGsFI+/hGxZg82J9IDHVM9Y5f9fXCDPwklSS/cRBTowYUIrYH4S8RKZXGoNp77MhUVp8xURcNrmb+FVChNAFjvdi0MfhMxgFL7cGBiREAhlzyPkDUTJAynqW8lPnU/UaAZpQ66bQ/4UcSal5wopK6D8LR99i5+bvAPoSTpS58hjF6983m37cnhTxErdRjsXx4DYP5mouV9Zuy45FGoZc+RjiQIAq84lclyJPhTxJpnsHk9Y4BglsCKpyGQMd7qUmb6buJjT1CODjra5LY9+fhXxEp14tAfs6ab8JL1xslVqtR00r9gM1Hr6wtO5s8aCf4VsWYLDji5ABoPE5222/5gE4O3CKbILH+akIAALSi1x22bBuJvEeshp7/gQLMaYOEmKupbzfhxyZBFXfI8yWicEPoZe9ZtkwbD3yKGXC4u2+OqQcdWr3iacMRMkigJLtpIfNyxV5vRG1DK9imx54P/RazZBHQ6UVBZiuDKp4yjq9iZuYO+afuosL4eRSlXJzkMRXGIWMdVP43NC5TnqO4hvPyvJE18dXEy8SCx+VuptL72A0+5ac9wFIeIAZRqwaGQTICxJyi/5DkSJqKruBh9gvjF615tQgP8xVqRxLMUj4gBlNqEA0nnc0xoJrrkReIoI+RioLqL/hVPE7E80aCDOmxfF+xCKS4Ra55Cz/F0hMlNVCw2QvY9Vd30X7GWsmD2VU20AevdtGmkFJ+IlUoBj4NzHuQpB4yQ/UxtO/1XPk64LEXQ+lUK+LM1hOl5ik/EgJV18M845OgCLeSl64kbZ5e/GNVC/Iq1hEOZV7WQBZ70Umz0cIgHpkPah8jFwHIni2wfS/9LVxNKhwk5Wa7h3Bl/mNiy54jm9YFBO7I8F5U1FMUtYgCR64HpThYZqyC1bg0qXkXYyXINI2f6LvoWbn51GCnHSyi12RWDLoBSEHEIuBkY52SxqTIyL6wm2TXmjOEKg8tIhuzCTfTnBXLk2IlSz7hi1AVS/CIGEAkDtwCjnSxWgdpyOfGj017zwBhcoDxGcvnTUNv1mhbSIeAJL6TaOR9KQ8QAIuXAm4A6p4s+MJfYziWUq2CROhJ9wNhjxJY9R7mVGyufFuB3KOXbBfVKR8QAIpXoGrnG6aJ7q0luuArVW0vE6bJLGcmSnbeV/pm7Bm0NdaAF7Os846UlYnBVyFlB7VpC/MBcogTO8IgabCASJ7X8r2TrOgZ9cbYBv0cp3yd7KD0RA4hUoIVc60bxnaNJbLwS6a8w3mtbyKImNxFbuJFo3vhvPieBx7yWoeN8KU0RQ07INwGj3Cg+HSS7bQX9R6cSRUytXCiquum/+HkCgzivchxFO7GKZgXM0hUxgEgZsAaY4pYJXfUkti1HdY+m3C0bioFgmsy8rSSm7xlyJGA/8JRfwilHSmmLGEBEgMuBi9w04/gk4tuXETRN7HNnXDPxxS8SttLJno1tKLXOMaMcxIg4h8gC4ApcjCfPCqppLvE9FxHJlA35QBqAUSeJL9hC4CyOqxxZdIbKbU7Z5TRGxPmINALXg7u1YaqMzO7F9B+eQXk2ZMR8Bgo19gTxeVsIDdHvzRED1qKUIwsNuIUR8UBE6oA34MIQ1EBSZWQOzKX/4BwiqUiJT6hQqIZjxOdvIVTdM6KX7DHgTyhV9NlJjYgHQyQCXI3DEyfORlZQzdOJH5hHoLe2tBxggTSZCc0k5myjrLKXshGethmdnbIkHm4j4qEQmYPuJ3vG2dQ1isS++WRaJxLJFHFTu6aT/ql7yU5qojwv28Zw6KR2Sh2x0zavYUQ8HCJVwGpgosuWnEFWUK0T6D8yHdU6oTgcYdFeko2HSE3ZR7giNuJaN0cLuv/ba4dtXsaIeKSILAJWgPfEokC1TiDRPI1sy0TCfklIEMiQre0g0XAcNa6ZUE33ebV4UsAGdFK7knyYjYjPBZF64FpgjNumnA0FqrueZPs4Mu0N0D2KskT0nGs1e1Coqh4SY06QGd9McFQrkYC6oGi1JuB5lCrpNbKMiM8VkQCwGFiKh/rKQ5EoJ93WQKq9AdU1mkB/BcFkhJCd4Z6hJOmKXtLVPWRrOqG2k2BtB6G8ZHQXQi/wrB/SyTqBEfH5oucnXwrMw4cJB7OCileSiVWR7q0m21eNilcSSEQhHUKyQSQTJJANIMqSuhIkmCEbSqNCSbJlSVRZEhVOosIJiPQjVd0EarooGyZ66rzNBrYBG/08/7fQGBFfKHpc+TJgqtumFDlHgXUo1eG2IV7DiLhQiEwEVuLh/rJPaQY2FXvU1YVgRFxoRGYDy/BAxJfPOYIW70m3DfE6RsR2oGdGTQOWAA3uGuM7DqPF2+K2IX7BiNhuRMYDi9B9Zt85wBwii14IbytKtbpsi+8wInYKndtrPtqbbVLYarqBXcBuvyercxMjYqfR48xT0JMrpuKTseYCkgQOAHtR6rjbxhQDRsRuogXdiBb0NCjaGUop9BDRPuAQSmVctqeoMCL2CtoZNgGYgRa0n5vcCmhFDw81Ay3FltfKSxgRexWRWvT6UQ3W5yjwdFbMU5wW7dFiSQfrB4yI/YLOzDmW06Ieizu1dQrotLaOVz+Vip3LRUTkIPABpdRaEbkLmKGU+kChjS0FfDFlzQBWnuRj1qYRCQJVQLX1mf9zNVrk5zKslUJPrE8M+OwDOgLwjNIvkfw+7Rx1jgIeiFLq3gs5v9QxIvYz2kHUbW2Do51nobwtgG6W55rmWbRYE8P1W5WIAm5RSq29YNsNBcMEHxQ7SmVRKolSMZTqQakulOpEqQ5r60KpuB2OJxF5k4hsF5EuEfmLiMw/y3H/JCI/tX7+o4h8bMD+rSLyVuvn74jIERHpEZGNInJV3nFBEblLRPaLyClr/2Rr3zwReVJEOkRkt4jcmnderYg8ICKtInJIRO4W/fI7wzbr+zQRUaLXvUZE3iciB6zymkTk9sL9BUeGEbHBFkTnJ3sQ+AS6//4H4H9ErxU9FD8H3pV3nQXo8fTfW796CT2Xe5R17COip4UCfMo69yZ07PrfAjHRgTZPWsc3WMd8X0QWWud9F70u1wzgGuC9wPtHcI+VwP8BblRKVaPzsW0Z7rxCY0RsOFcetWrWLhF5dIjj3gn8Xin1pNL9+X8BougHfSh+AywVkdzUztuBXytr9UKl1E+VUu1KqbRS6ptABJhrHfsB4G6l1G6l2aqUagfeCBxUSv2ndd4m4FfA20X7Fd4JfE4pdUopdRD4JvCeEf49ssBFIhJVSh1XSm0f4XkFw4jYcK68WSlVZ21vHuK4icCh3Belm+tH0MEtZ0UpdQpd695m/eo24Ge5/SJyp4jsFJFuEelC16C56Z+T0estDWQqcFney6cL/XIYb50bzrfV+nlIOy1b+9AvgA8Bx0Xk9yIyb7jzCo0RscEujpGXKEF0MMtkdOTWcDwIvEtELkfX3k9Z17gK+CxwK1CvlKpDO/VyTrojwMxBrncEeDrv5VOnlKpSSn0YvU5xijOTOkzJs7OPM4fyxudfWCn1uFLqenSgzi7gRyO4v4JiRGywi4eBm0Vkjegx7jvRXvDnR3DuH9Ci+jLwC3Xa6VYNpNHRYCER+SJnztv+d+ArIjJbNItFZDTwO2COiLxHRMqsbbmIzFfaw/8w8FURqbaa8Z8Ccs6sLcDVIjJFdADO53KFicg4y3lXad1bL2cOvzmCEbHBFpRSu4E70E6jNvSi7reoEURyWf3fXwPXoZ1ROR4HHgP2oJu8/ehaNse30IJ8AugB/gOIWk3016Ob5seAE8DX4dWF2D6OrnEPAM9aZd5v2fIk8AvgZWAj+oWQI4B+OR1DB75cA3xkuPsrNCZiy2DwOaYmNhh8jhGxzxGRH4rIF1yMHE0qAAAEPklEQVQq+3YR6R1kc3yYpZQZsYhF5N0issH6TzouIo+JyJV2GucWInKbiLwgIn0i0mL9/BHLw+qGPatFpHmwfUqpDymlvjKCaxwUkesKaZdS6meWl3fgtnD4sw2FYkQiFpFPAd8G7kXPoJkCfB/4G/tMcwcRuRP4DvAN9HDCOPQ44CpKLwuHwQ8opYbc0IPpvcA7zrI/ghZ4bobNt4GItW81en7pZ9Cr1h0H3owOi9uD9ujdlXetfwIeQbv3T6Gz/c9Bu/Vb0J7I1+cdPxH4rXWdfcAHB1zrYeAB61rbgUtHcK99wNuGOS6CjkA6DJwEfoj2gubf85159/z+kZw7RHmrgeaz7PsxcI/18xi097TL+ps8g35R/wQdWRS3/i8/M9z/u9n8s42kJr4cnTbmN2fZ/3l00vSl6BStK4C78/aPt85vBL6IHgy/A52b+SrgiyIyI+/4W6yHrh69WPTj1oPYiB43/Le8Yx9EC2Yi8HbgXhFZk7f/TcBDQB1a7P93BPcaAf57mOO+jn65LAVm5d1b/j3XWr//O+B7ohdjG8m5F8Kd6L/HWHQL4i5AKaXeg35p3KJ0c/efC1SewQsMp3J0eNqJIfbvB27K+34DOk4VdA0SB4LW92p06pbL8o7fiA7lA117Ppm37xZ0zTHw/Dp09E8GqM47/j7gx3nXWpu3bwEQH+Ze7xh4r+jghC7rPq5GRwf1ATPzjrkcaBpwz6G8/S3oF92Q5w5h12pGVhN/Gf0CmjXIcQeB69yuNcxW+G0k84nbgTEiElKDL2J1Roys9XP+gtzt6nRitLj1mZ/VP46exM5Z9rUNcn6VVUaH0gP5+WVfmvc9f+mPGFA+xH3AIPeqlLoCwHIsBTidUWNjnp9LOHPd4vYBZcQsm0dy7oXwDfTL6wnr+v9PKfW1Al3b4FFG0pxeh46MOVuw+xkxsmin17GzHFtIjgGjRKR6QNkjic09G+vQ4XNDOeza0C+Thep0HG6tUqpqiHMKce6wKD0L506l1Ax0K+ZTed0LE9VTpAwrYqVUN7rP9j0RebOIVFixpzeKyD+j+6V3i8hYERljHfvToa5ZCJRSR9BN3ftEpFxEFqP7nz8b+swhr9kFfAk91/TtIlIlIgERWQpUWsdk0f36fxWRBgARaRSRG0Zw/fM+1zq2fMAmA/a/UURmWb/vQXc3cq2Yk+j5soYiY0RDTEqpb6GDwu9GB58fAT4GPArcA2xAx5ZuAzZZv3OCd6HTux5DO97+UelY1/NGaafPpzjtUT+JdqZ9ltPB+59Fe8PXi0gPsJbTc1qH43zPbUTX4vnbwBk7s63r9aJbFd9XSv3F2ncf+mXbJSJ/P0JbDT7AxE4bDD7HhF0aDD6n5ERszQsdLN63V0SmuGjXXWex6TG3bDL4A9OcNhh8TsnVxAZDsWFEbDD4HCNig8HnGBEbDD7HiNhg8Dn/H4yFLZn3DCdWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25608\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22319\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22783\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "27726\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24859\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20226\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# only genes that are in common across all species\n",
    "for genes_file in counts_matrices:\n",
    "    if genes_file.endswith(\".csv\"):\n",
    "        species = genes_file.split(\"_\")[0]+\"_\"+genes_file.split(\"_\")[1]\n",
    "        table = pd.read_csv(counts_dir+genes_file,sep=\"\\t\")\n",
    "        table = table.rename(columns={'Unnamed: 0': 'Evigene'})\n",
    "        table_filt = table[(table.iloc[:,1:] > 5).any(1)]\n",
    "        species_genes = table['Evigene'].tolist()\n",
    "        a = set(species_genes)\n",
    "        b = set(gene_list_common)\n",
    "        species_list = list(a & b)\n",
    "        print(len(species_list))\n",
    "        venn2(subsets = (len(b)-len(a.intersection(b)), \n",
    "                 len(a)-len(b.intersection(a)), \n",
    "                 len(b.intersection(a))), set_labels = ('Common_Gene_List',species))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['F_chrysotus_counts_evigene.csv', 'F_catanatus_counts_evigene.csv', 'A_xenica_counts_evigene.csv', 'F_heteroclitusMDPL_counts_evigene.csv', 'L_parva_counts_evigene.csv', 'F_heteroclitusMDPP_counts_evigene.csv', 'F_similis_counts_evigene.csv', 'F_diaphanus_counts_evigene.csv', 'F_parvapinis_counts_evigene.csv', 'L_goodei_counts_evigene.csv', 'F_olivaceous_counts_evigene.csv', 'F_rathbuni_counts_evigene.csv', 'F_sciadicus_counts_evigene.csv', 'F_zebrinus_counts_evigene.csv', 'F_grandis_counts_evigene.csv', 'F_notatus_counts_evigene.csv', 'F_notti_counts_evigene.csv']\n",
      "17\n"
     ]
    }
   ],
   "source": [
    "print(counts_matrices)\n",
    "print(len(counts_matrices))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25379\n",
      "24916\n",
      "26164\n",
      "25297\n",
      "26173\n",
      "24857\n",
      "25259\n",
      "24390\n",
      "24988\n",
      "24753\n",
      "25850\n",
      "24317\n",
      "24402\n",
      "27183\n",
      "25169\n",
      "23707\n",
      "25379\n",
      "24984\n",
      "25995\n",
      "25395\n",
      "26085\n",
      "24850\n",
      "25150\n",
      "24240\n",
      "25105\n",
      "24850\n",
      "25746\n",
      "24406\n",
      "24411\n",
      "27107\n",
      "25251\n",
      "23933\n",
      "24916\n",
      "24984\n",
      "25674\n",
      "24880\n",
      "25748\n",
      "24309\n",
      "24831\n",
      "23713\n",
      "24506\n",
      "24319\n",
      "25555\n",
      "23793\n",
      "23789\n",
      "26930\n",
      "24860\n",
      "23214\n",
      "26164\n",
      "25995\n",
      "25674\n",
      "26097\n",
      "25776\n",
      "25438\n",
      "25747\n",
      "25164\n",
      "25836\n",
      "25608\n",
      "26333\n",
      "25217\n",
      "25268\n",
      "27197\n",
      "26035\n",
      "24833\n",
      "25297\n",
      "25395\n",
      "24880\n",
      "26097\n",
      "26102\n",
      "24814\n",
      "25248\n",
      "24243\n",
      "24359\n",
      "24916\n",
      "25941\n",
      "24458\n",
      "24503\n",
      "27060\n",
      "25306\n",
      "24040\n",
      "26173\n",
      "26085\n",
      "25748\n",
      "25776\n",
      "26102\n",
      "25382\n",
      "25616\n",
      "25108\n",
      "25829\n",
      "25685\n",
      "26308\n",
      "25208\n",
      "25235\n",
      "27191\n",
      "26067\n",
      "24791\n",
      "24857\n",
      "24850\n",
      "24309\n",
      "25438\n",
      "24814\n",
      "25382\n",
      "24482\n",
      "23418\n",
      "24465\n",
      "24149\n",
      "25319\n",
      "23578\n",
      "23600\n",
      "26702\n",
      "24727\n",
      "22994\n",
      "25259\n",
      "25150\n",
      "24831\n",
      "25747\n",
      "25248\n",
      "25616\n",
      "24482\n",
      "24046\n",
      "24852\n",
      "24672\n",
      "25398\n",
      "24063\n",
      "24115\n",
      "26866\n",
      "25108\n",
      "23577\n",
      "24390\n",
      "24240\n",
      "23713\n",
      "25164\n",
      "24243\n",
      "25108\n",
      "23418\n",
      "24046\n",
      "23858\n",
      "23644\n",
      "24938\n",
      "22829\n",
      "22859\n",
      "26502\n",
      "24291\n",
      "22127\n",
      "24988\n",
      "25105\n",
      "24506\n",
      "25836\n",
      "24359\n",
      "25829\n",
      "24465\n",
      "24852\n",
      "23858\n",
      "24553\n",
      "25648\n",
      "24005\n",
      "24038\n",
      "26950\n",
      "24991\n",
      "23527\n",
      "24753\n",
      "24850\n",
      "24319\n",
      "25608\n",
      "24916\n",
      "25685\n",
      "24149\n",
      "24672\n",
      "23644\n",
      "24553\n",
      "25342\n",
      "23592\n",
      "23683\n",
      "26877\n",
      "24339\n",
      "23003\n",
      "25850\n",
      "25746\n",
      "25555\n",
      "26333\n",
      "25941\n",
      "26308\n",
      "25319\n",
      "25398\n",
      "24938\n",
      "25648\n",
      "25342\n",
      "24933\n",
      "25017\n",
      "27300\n",
      "25724\n",
      "24610\n",
      "24317\n",
      "24406\n",
      "23793\n",
      "25217\n",
      "24458\n",
      "25208\n",
      "23578\n",
      "24063\n",
      "22829\n",
      "24005\n",
      "23592\n",
      "24933\n",
      "22888\n",
      "26569\n",
      "24275\n",
      "22172\n",
      "24402\n",
      "24411\n",
      "23789\n",
      "25268\n",
      "24503\n",
      "25235\n",
      "23600\n",
      "24115\n",
      "22859\n",
      "24038\n",
      "23683\n",
      "25017\n",
      "22888\n",
      "26629\n",
      "24340\n",
      "22150\n",
      "27183\n",
      "27107\n",
      "26930\n",
      "27197\n",
      "27060\n",
      "27191\n",
      "26702\n",
      "26866\n",
      "26502\n",
      "26950\n",
      "26877\n",
      "27300\n",
      "26569\n",
      "26629\n",
      "27090\n",
      "26339\n",
      "25169\n",
      "25251\n",
      "24860\n",
      "26035\n",
      "25306\n",
      "26067\n",
      "24727\n",
      "25108\n",
      "24291\n",
      "24991\n",
      "24339\n",
      "25724\n",
      "24275\n",
      "24340\n",
      "27090\n",
      "23782\n",
      "23707\n",
      "23933\n",
      "23214\n",
      "24833\n",
      "24040\n",
      "24791\n",
      "22994\n",
      "23577\n",
      "22127\n",
      "23527\n",
      "23003\n",
      "24610\n",
      "22172\n",
      "22150\n",
      "26339\n",
      "23782\n"
     ]
    }
   ],
   "source": [
    "count = 0\n",
    "gene_list_common = []\n",
    "for genes_file1 in counts_matrices:\n",
    "    if genes_file1.endswith(\".csv\"):\n",
    "        species1 = genes_file1.split(\"_\")[0]+\"_\"+genes_file1.split(\"_\")[1]\n",
    "        for genes_file2 in counts_matrices:\n",
    "            if genes_file2 != genes_file1:\n",
    "                if genes_file2.endswith(\".csv\"):\n",
    "                    species2 = genes_file2.split(\"_\")[0]+\"_\"+genes_file2.split(\"_\")[1]\n",
    "                    table1 = pd.read_csv(counts_dir+genes_file1,sep=\"\\t\")\n",
    "                    table1 = table1.rename(columns={'Unnamed: 0': 'Evigene'})\n",
    "                    table1_filt = table1[(table1.iloc[:,1:] > 5).any(1)]\n",
    "                    table2 = pd.read_csv(counts_dir+genes_file2,sep=\"\\t\")\n",
    "                    table2 = table2.rename(columns={'Unnamed: 0': 'Evigene'})\n",
    "                    table2_filt = table2[(table2.iloc[:,1:] > 5).any(1)]\n",
    "                    species_genes1 = table1_filt['Evigene'].tolist()\n",
    "                    species_genes2 = table2_filt['Evigene'].tolist()\n",
    "                    a = set(species_genes1)\n",
    "                    b = set(species_genes2)\n",
    "                    genes_list = list(a | b)\n",
    "                    print(len(genes_list))\n",
    "                    gene_list_common.extend(genes_list)\n",
    "#difference=filter(lambda x:x not in list2,list1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6791874\n",
      "31109\n"
     ]
    }
   ],
   "source": [
    "gene_list_common_intersect = gene_list_common\n",
    "print(len(gene_list_common_intersect))\n",
    "print(len(set(gene_list_common)))\n",
    "gene_list_common = list(set(gene_list_common))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24692\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24508\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24186\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "26024\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24738\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "26201\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24663\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24542\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22135\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24482\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24182\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25473\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22259\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22690\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "27314\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24726\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20182\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for genes_file in counts_matrices:\n",
    "    if genes_file != \".DS_Store\":\n",
    "        species = genes_file.split(\"_\")[0]+\"_\"+genes_file.split(\"_\")[1]\n",
    "        table = pd.read_csv(counts_dir+genes_file,sep=\"\\t\")\n",
    "        table = table.rename(columns={'Unnamed: 0': 'Evigene'})\n",
    "        species_genes = table['Evigene'].tolist()\n",
    "        a = set(species_genes)\n",
    "        b = set(gene_list_common_intersect)\n",
    "        species_list = list(a & b)\n",
    "        print(len(species_list))\n",
    "        venn2(subsets = (len(b)-len(a.intersection(b)), \n",
    "                 len(a)-len(b.intersection(a)), \n",
    "                 len(b.intersection(a))), set_labels = ('Common_Gene_List',species))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "========\n",
      "F_chrysotus\n",
      "========\n",
      "(24692, 9)\n",
      "========\n",
      "F_catanatus\n",
      "========\n",
      "(27296, 16)\n",
      "========\n",
      "A_xenica\n",
      "========\n",
      "(28420, 25)\n",
      "========\n",
      "F_heteroclitusMDPL\n",
      "========\n",
      "(29575, 34)\n",
      "========\n",
      "L_parva\n",
      "========\n",
      "(29979, 43)\n",
      "========\n",
      "F_heteroclitusMDPP\n",
      "========\n",
      "(30357, 52)\n",
      "========\n",
      "F_similis\n",
      "========\n",
      "(30524, 61)\n",
      "========\n",
      "F_diaphanus\n",
      "========\n",
      "(30633, 67)\n",
      "========\n",
      "F_parvapinis\n",
      "========\n",
      "(30734, 75)\n",
      "========\n",
      "L_goodei\n",
      "========\n",
      "(30812, 84)\n",
      "========\n",
      "F_olivaceous\n",
      "========\n",
      "(30870, 92)\n",
      "========\n",
      "F_rathbuni\n",
      "========\n",
      "(30931, 101)\n",
      "========\n",
      "F_sciadicus\n",
      "========\n",
      "(30960, 105)\n",
      "========\n",
      "F_zebrinus\n",
      "========\n",
      "(30985, 109)\n",
      "========\n",
      "F_grandis\n",
      "========\n",
      "(31066, 118)\n",
      "========\n",
      "F_notatus\n",
      "========\n",
      "(31097, 127)\n",
      "========\n",
      "F_notti\n",
      "========\n",
      "(31109, 129)\n"
     ]
    }
   ],
   "source": [
    "species_counts = pd.DataFrame()\n",
    "species_counts['Evigene'] = \"\"  \n",
    "for genes_file in counts_matrices:\n",
    "    if genes_file.endswith(\".csv\"):\n",
    "        species = genes_file.split(\"_\")[0]+\"_\"+genes_file.split(\"_\")[1]\n",
    "        print(\"========\")\n",
    "        print(species)\n",
    "        print(\"========\")\n",
    "        table = pd.read_csv(counts_dir+genes_file,sep=\"\\t\")\n",
    "        table = table.rename(columns={'Unnamed: 0': 'Evigene'})\n",
    "        counts = table[table['Evigene'].isin(gene_list_common)]\n",
    "        cols = counts.columns.tolist()\n",
    "        colnames = ['Evigene']\n",
    "        for i in cols:\n",
    "            if i.startswith(species):\n",
    "                colnames.append(i)\n",
    "        counts = counts[colnames]\n",
    "        species_counts = pd.merge(species_counts,counts,on='Evigene',how='outer')\n",
    "        print(species_counts.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "species_counts = species_counts.fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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>Evigene</th>\n",
       "      <th>F_chrysotus_BW_1.quant</th>\n",
       "      <th>F_chrysotus_BW_2.quant</th>\n",
       "      <th>F_chrysotus_BW_3.quant</th>\n",
       "      <th>F_chrysotus_FW_1.quant</th>\n",
       "      <th>F_chrysotus_FW_2.quant</th>\n",
       "      <th>F_chrysotus_FW_3.quant</th>\n",
       "      <th>F_chrysotus_transfer_1.quant</th>\n",
       "      <th>F_chrysotus_transfer_2.quant</th>\n",
       "      <th>F_catanatus_BW_1.quant</th>\n",
       "      <th>...</th>\n",
       "      <th>F_notatus_BW_2.quant</th>\n",
       "      <th>F_notatus_BW_3.quant</th>\n",
       "      <th>F_notatus_FW_1.quant</th>\n",
       "      <th>F_notatus_FW_2.quant</th>\n",
       "      <th>F_notatus_FW_3.quant</th>\n",
       "      <th>F_notatus_transfer_1.quant</th>\n",
       "      <th>F_notatus_transfer_2.quant</th>\n",
       "      <th>F_notatus_transfer_3.quant</th>\n",
       "      <th>F_notti_FW_1.quant</th>\n",
       "      <th>F_notti_FW_2.quant</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Funhe2EKm000003</td>\n",
       "      <td>2.000</td>\n",
       "      <td>28.000</td>\n",
       "      <td>12.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>59.000</td>\n",
       "      <td>17.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>20.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>...</td>\n",
       "      <td>6.000</td>\n",
       "      <td>14.000</td>\n",
       "      <td>11.000</td>\n",
       "      <td>8.000</td>\n",
       "      <td>19.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>5.000</td>\n",
       "      <td>6.00</td>\n",
       "      <td>8.908</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Funhe2EKm000004</td>\n",
       "      <td>558.781</td>\n",
       "      <td>799.000</td>\n",
       "      <td>844.698</td>\n",
       "      <td>578.000</td>\n",
       "      <td>499.999</td>\n",
       "      <td>915.000</td>\n",
       "      <td>373.000</td>\n",
       "      <td>926.000</td>\n",
       "      <td>211.136</td>\n",
       "      <td>...</td>\n",
       "      <td>249.000</td>\n",
       "      <td>704.000</td>\n",
       "      <td>195.000</td>\n",
       "      <td>354.000</td>\n",
       "      <td>440.000</td>\n",
       "      <td>773.000</td>\n",
       "      <td>344.000</td>\n",
       "      <td>76.00</td>\n",
       "      <td>247.000</td>\n",
       "      <td>208.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Funhe2EKm000005</td>\n",
       "      <td>628.001</td>\n",
       "      <td>2223.001</td>\n",
       "      <td>975.983</td>\n",
       "      <td>908.000</td>\n",
       "      <td>530.001</td>\n",
       "      <td>707.002</td>\n",
       "      <td>432.000</td>\n",
       "      <td>975.000</td>\n",
       "      <td>17.358</td>\n",
       "      <td>...</td>\n",
       "      <td>428.000</td>\n",
       "      <td>1432.000</td>\n",
       "      <td>390.000</td>\n",
       "      <td>578.000</td>\n",
       "      <td>798.000</td>\n",
       "      <td>1703.000</td>\n",
       "      <td>708.000</td>\n",
       "      <td>273.00</td>\n",
       "      <td>526.000</td>\n",
       "      <td>831.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Funhe2EKm000006</td>\n",
       "      <td>137.674</td>\n",
       "      <td>299.533</td>\n",
       "      <td>208.556</td>\n",
       "      <td>177.272</td>\n",
       "      <td>137.623</td>\n",
       "      <td>191.000</td>\n",
       "      <td>94.372</td>\n",
       "      <td>248.538</td>\n",
       "      <td>21.000</td>\n",
       "      <td>...</td>\n",
       "      <td>166.000</td>\n",
       "      <td>313.267</td>\n",
       "      <td>60.248</td>\n",
       "      <td>137.791</td>\n",
       "      <td>119.428</td>\n",
       "      <td>284.143</td>\n",
       "      <td>189.196</td>\n",
       "      <td>148.51</td>\n",
       "      <td>125.000</td>\n",
       "      <td>173.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Funhe2EKm000007</td>\n",
       "      <td>7.747</td>\n",
       "      <td>42.391</td>\n",
       "      <td>0.000</td>\n",
       "      <td>17.547</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>8.689</td>\n",
       "      <td>12.638</td>\n",
       "      <td>...</td>\n",
       "      <td>8.868</td>\n",
       "      <td>0.000</td>\n",
       "      <td>18.604</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>51.028</td>\n",
       "      <td>26.487</td>\n",
       "      <td>0.00</td>\n",
       "      <td>48.770</td>\n",
       "      <td>80.662</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 129 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           Evigene  F_chrysotus_BW_1.quant  F_chrysotus_BW_2.quant  \\\n",
       "0  Funhe2EKm000003                   2.000                  28.000   \n",
       "1  Funhe2EKm000004                 558.781                 799.000   \n",
       "2  Funhe2EKm000005                 628.001                2223.001   \n",
       "3  Funhe2EKm000006                 137.674                 299.533   \n",
       "4  Funhe2EKm000007                   7.747                  42.391   \n",
       "\n",
       "   F_chrysotus_BW_3.quant  F_chrysotus_FW_1.quant  F_chrysotus_FW_2.quant  \\\n",
       "0                  12.000                   5.000                  59.000   \n",
       "1                 844.698                 578.000                 499.999   \n",
       "2                 975.983                 908.000                 530.001   \n",
       "3                 208.556                 177.272                 137.623   \n",
       "4                   0.000                  17.547                   0.000   \n",
       "\n",
       "   F_chrysotus_FW_3.quant  F_chrysotus_transfer_1.quant  \\\n",
       "0                  17.000                         1.000   \n",
       "1                 915.000                       373.000   \n",
       "2                 707.002                       432.000   \n",
       "3                 191.000                        94.372   \n",
       "4                   0.000                         0.000   \n",
       "\n",
       "   F_chrysotus_transfer_2.quant  F_catanatus_BW_1.quant         ...          \\\n",
       "0                        20.000                   2.000         ...           \n",
       "1                       926.000                 211.136         ...           \n",
       "2                       975.000                  17.358         ...           \n",
       "3                       248.538                  21.000         ...           \n",
       "4                         8.689                  12.638         ...           \n",
       "\n",
       "   F_notatus_BW_2.quant  F_notatus_BW_3.quant  F_notatus_FW_1.quant  \\\n",
       "0                 6.000                14.000                11.000   \n",
       "1               249.000               704.000               195.000   \n",
       "2               428.000              1432.000               390.000   \n",
       "3               166.000               313.267                60.248   \n",
       "4                 8.868                 0.000                18.604   \n",
       "\n",
       "   F_notatus_FW_2.quant  F_notatus_FW_3.quant  F_notatus_transfer_1.quant  \\\n",
       "0                 8.000                19.000                      13.000   \n",
       "1               354.000               440.000                     773.000   \n",
       "2               578.000               798.000                    1703.000   \n",
       "3               137.791               119.428                     284.143   \n",
       "4                 0.000                 0.000                      51.028   \n",
       "\n",
       "   F_notatus_transfer_2.quant  F_notatus_transfer_3.quant  F_notti_FW_1.quant  \\\n",
       "0                       5.000                        6.00               8.908   \n",
       "1                     344.000                       76.00             247.000   \n",
       "2                     708.000                      273.00             526.000   \n",
       "3                     189.196                      148.51             125.000   \n",
       "4                      26.487                        0.00              48.770   \n",
       "\n",
       "   F_notti_FW_2.quant  \n",
       "0               0.000  \n",
       "1             208.000  \n",
       "2             831.000  \n",
       "3             173.000  \n",
       "4              80.662  \n",
       "\n",
       "[5 rows x 129 columns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "species_counts.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(31109, 129)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "species_counts.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "species_filt = species_counts[(species_counts.iloc[:,1:] > 5).any(1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(31109, 129)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "species_filt.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "species_counts.to_csv(\"/Users/johnsolk/Documents/UCDavis/Whitehead/kfish_salmon/Evigene_species_counts.csv\",index=False,index_label=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Design rows"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "cols = species_counts.columns.tolist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Evigene', 'F_chrysotus_BW_1.quant', 'F_chrysotus_BW_2.quant', 'F_chrysotus_BW_3.quant', 'F_chrysotus_FW_1.quant', 'F_chrysotus_FW_2.quant', 'F_chrysotus_FW_3.quant', 'F_chrysotus_transfer_1.quant', 'F_chrysotus_transfer_2.quant', 'F_catanatus_BW_1.quant', 'F_catanatus_BW_2.quant', 'F_catanatus_BW_3.quant', 'F_catanatus_FW_1.quant', 'F_catanatus_FW_2.quant', 'F_catanatus_transfer_1.quant', 'F_catanatus_transfer_2.quant', 'A_xenica_BW_1.quant', 'A_xenica_BW_2.quant', 'A_xenica_BW_3.quant', 'A_xenica_FW_1.quant', 'A_xenica_FW_2.quant', 'A_xenica_FW_3.quant', 'A_xenica_transfer_1.quant', 'A_xenica_transfer_2.quant', 'A_xenica_transfer_3.quant', 'F_heteroclitusMDPL_BW_1.quant', 'F_heteroclitusMDPL_BW_2.quant', 'F_heteroclitusMDPL_BW_3.quant', 'F_heteroclitusMDPL_FW_1.quant', 'F_heteroclitusMDPL_FW_2.quant', 'F_heteroclitusMDPL_FW_3.quant', 'F_heteroclitusMDPL_transfer_1.quant', 'F_heteroclitusMDPL_transfer_2.quant', 'F_heteroclitusMDPL_transfer_3.quant', 'L_parva_BW_1.quant', 'L_parva_BW_2.quant', 'L_parva_BW_3.quant', 'L_parva_FW_1.quant', 'L_parva_FW_2.quant', 'L_parva_FW_3.quant', 'L_parva_transfer_1.quant', 'L_parva_transfer_2.quant', 'L_parva_transfer_3.quant', 'F_heteroclitusMDPP_BW_1.quant', 'F_heteroclitusMDPP_BW_2.quant', 'F_heteroclitusMDPP_BW_3.quant', 'F_heteroclitusMDPP_FW_1.quant', 'F_heteroclitusMDPP_FW_2.quant', 'F_heteroclitusMDPP_FW_3.quant', 'F_heteroclitusMDPP_transfer_1.quant', 'F_heteroclitusMDPP_transfer_2.quant', 'F_heteroclitusMDPP_transfer_3.quant', 'F_similis_BW_1.quant', 'F_similis_BW_2.quant', 'F_similis_BW_3.quant', 'F_similis_FW_1.quant', 'F_similis_FW_2.quant', 'F_similis_FW_3.quant', 'F_similis_transfer_1.quant', 'F_similis_transfer_2.quant', 'F_similis_transfer_3.quant', 'F_diaphanus_BW_1.quant', 'F_diaphanus_BW_2.quant', 'F_diaphanus_FW_2.quant', 'F_diaphanus_FW_3.quant', 'F_diaphanus_transfer_1.quant', 'F_diaphanus_transfer_2.quant', 'F_parvapinis_BW_1.quant', 'F_parvapinis_BW_2.quant', 'F_parvapinis_BW_3.quant', 'F_parvapinis_FW_1.quant', 'F_parvapinis_FW_2.quant', 'F_parvapinis_FW_3.quant', 'F_parvapinis_transfer_1.quant', 'F_parvapinis_transfer_2.quant', 'L_goodei_BW_1.quant', 'L_goodei_BW_2.quant', 'L_goodei_BW_3.quant', 'L_goodei_FW_1.quant', 'L_goodei_FW_2.quant', 'L_goodei_FW_3.quant', 'L_goodei_transfer_1.quant', 'L_goodei_transfer_2.quant', 'L_goodei_transfer_3.quant', 'F_olivaceous_BW_1.quant', 'F_olivaceous_BW_2.quant', 'F_olivaceous_BW_3.quant', 'F_olivaceous_FW_1.quant', 'F_olivaceous_FW_2.quant', 'F_olivaceous_FW_3.quant', 'F_olivaceous_transfer_1.quant', 'F_olivaceous_transfer_2.quant', 'F_rathbuni_BW_1.quant', 'F_rathbuni_BW_2.quant', 'F_rathbuni_BW_3.quant', 'F_rathbuni_FW_1.quant', 'F_rathbuni_FW_2.quant', 'F_rathbuni_FW_3.quant', 'F_rathbuni_transfer_1.quant', 'F_rathbuni_transfer_2.quant', 'F_rathbuni_transfer_3.quant', 'F_sciadicus_BW_1.quant', 'F_sciadicus_FW_1.quant', 'F_sciadicus_FW_2.quant', 'F_sciadicus_transfer_1.quant', 'F_zebrinus_BW_1.quant', 'F_zebrinus_BW_2.quant', 'F_zebrinus_FW_1.quant', 'F_zebrinus_FW_2.quant', 'F_grandis_BW_1.quant', 'F_grandis_BW_2.quant', 'F_grandis_BW_3.quant', 'F_grandis_FW_1.quant', 'F_grandis_FW_2.quant', 'F_grandis_FW_3.quant', 'F_grandis_transfer_1.quant', 'F_grandis_transfer_2.quant', 'F_grandis_transfer_3.quant', 'F_notatus_BW_1.quant', 'F_notatus_BW_2.quant', 'F_notatus_BW_3.quant', 'F_notatus_FW_1.quant', 'F_notatus_FW_2.quant', 'F_notatus_FW_3.quant', 'F_notatus_transfer_1.quant', 'F_notatus_transfer_2.quant', 'F_notatus_transfer_3.quant', 'F_notti_FW_1.quant', 'F_notti_FW_2.quant']\n"
     ]
    }
   ],
   "source": [
    "print(cols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "clade_design = {\"A_xenica\":\"Clade3\",\"F_catanatus\":\"Clade1\",\"F_chrysotus\":\"Clade3\",\n",
    " \"F_diaphanus\":\"Clade1\",\"F_grandis\":\"Clade1\",\"F_heteroclitusMDPL\":\"Clade1\",\n",
    " \"F_heteroclitusMDPP\":\"Clade1\",\"F_notatus\":\"Clade3\",\"F_notti\":\"Clade3\",\n",
    " \"F_olivaceous\":\"Clade3\",\"F_parvapinis\":\"Clade2\",\"F_rathbuni\":\"Clade1\",\n",
    " \"F_sciadicus\":\"Clade3\",\"F_similis\":\"Clade1\",\"F_zebrinus\":\"Clade3\",\n",
    " \"L_goodei\":\"Clade2\",\"L_parva\":\"Clade2\"}\n",
    "combined_design = {\"A_xenica\":\"M_Clade3\",\"F_catanatus\":\"FW_Clade1\",\"F_chrysotus\":\"BW_Clade3\",\n",
    " \"F_diaphanus\":\"BW_Clade1\",\"F_grandis\":\"M_Clade1\",\"F_heteroclitusMDPL\":\"M_Clade1\",\n",
    " \"F_heteroclitusMDPP\":\"M_Clade1\",\"F_notatus\":\"FW_Clade3\",\"F_notti\":\"FW_Clade3\",\n",
    " \"F_olivaceous\":\"FW_Clade3\",\"F_parvapinis\":\"BW_Clade2\",\"F_rathbuni\":\"FW_Clade1\",\n",
    " \"F_sciadicus\":\"FW_Clade3\",\"F_similis\":\"M_Clade1\",\"F_zebrinus\":\"M_Clade3\",\n",
    " \"L_goodei\":\"FW_Clade2\",\"L_parva\":\"M_Clade2\"}\n",
    "phys_design = {\"A_xenica\":\"M\",\"F_catanatus\":\"FW\",\"F_chrysotus\":\"BW\",\n",
    " \"F_diaphanus\":\"BW\",\"F_grandis\":\"M\",\"F_heteroclitusMDPL\":\"M\",\n",
    " \"F_heteroclitusMDPP\":\"M\",\"F_notatus\":\"FW\",\"F_notti\":\"FW\",\n",
    " \"F_olivaceous\":\"FW\",\"F_parvapinis\":\"BW\",\"F_rathbuni\":\"FW\",\n",
    " \"F_sciadicus\":\"FW\",\"F_similis\":\"M\",\"F_zebrinus\":\"M\",\n",
    " \"L_goodei\":\"FW\",\"L_parva\":\"M\"}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "129\n",
      "129\n",
      "129\n",
      "129\n",
      "129\n"
     ]
    }
   ],
   "source": [
    "species_list = ['Empty']\n",
    "physiology_list = ['Empty']\n",
    "clade_list = ['Empty']\n",
    "combined_list = ['Empty']\n",
    "condition_list = ['Empty']\n",
    "for col in cols:\n",
    "    if col != \"Evigene\":\n",
    "        species = col.split(\"_\")[0]+\"_\"+col.split(\"_\")[1]\n",
    "        condition = col.split(\"_\")[2]\n",
    "        if condition == \"BW\":\n",
    "            condition = \"15_ppt\"\n",
    "        if condition == \"FW\":\n",
    "            condition = \"0.2_ppt\"\n",
    "        condition_list.append(condition)\n",
    "        species_list.append(species)\n",
    "        physiology = phys_design[species]\n",
    "        physiology_list.append(physiology)\n",
    "        clade = clade_design[species]\n",
    "        clade_list.append(clade)\n",
    "        design = combined_design[species]\n",
    "        combined_list.append(design)\n",
    "print(len(species_list))\n",
    "print(len(physiology_list))\n",
    "print(len(clade_list))\n",
    "print(len(combined_list))\n",
    "print(len(condition_list))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Evigene', 'F_chrysotus_BW_1.quant', 'F_chrysotus_BW_2.quant',\n",
       "       'F_chrysotus_BW_3.quant', 'F_chrysotus_FW_1.quant',\n",
       "       'F_chrysotus_FW_2.quant', 'F_chrysotus_FW_3.quant',\n",
       "       'F_chrysotus_transfer_1.quant', 'F_chrysotus_transfer_2.quant',\n",
       "       'F_catanatus_BW_1.quant',\n",
       "       ...\n",
       "       'F_notatus_BW_2.quant', 'F_notatus_BW_3.quant', 'F_notatus_FW_1.quant',\n",
       "       'F_notatus_FW_2.quant', 'F_notatus_FW_3.quant',\n",
       "       'F_notatus_transfer_1.quant', 'F_notatus_transfer_2.quant',\n",
       "       'F_notatus_transfer_3.quant', 'F_notti_FW_1.quant',\n",
       "       'F_notti_FW_2.quant'],\n",
       "      dtype='object', length=129)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "species_counts.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(31109, 129)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "species_counts.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 129)\n",
      "(1, 129)\n",
      "(1, 129)\n",
      "(1, 129)\n",
      "(1, 129)\n",
      "(31114, 129)\n"
     ]
    }
   ],
   "source": [
    "df = pd.DataFrame([species_list],columns=species_counts.columns)\n",
    "df2 = pd.DataFrame([physiology_list],columns=species_counts.columns)\n",
    "df3 = pd.DataFrame([clade_list],columns=species_counts.columns)\n",
    "df4 = pd.DataFrame([combined_list],columns=species_counts.columns)\n",
    "df5 = pd.DataFrame([condition_list],columns=species_counts.columns)\n",
    "print(df.shape)\n",
    "print(df2.shape)\n",
    "print(df3.shape)\n",
    "print(df4.shape)\n",
    "print(df5.shape)\n",
    "#df.head()\n",
    "species_counts_real = species_counts.append(df)\n",
    "species_counts_real = species_counts_real.append(df2)\n",
    "species_counts_real = species_counts_real.append(df3)\n",
    "species_counts_real = species_counts_real.append(df4)\n",
    "species_counts_real = species_counts_real.append(df5)\n",
    "print(species_counts_real.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "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>Evigene</th>\n",
       "      <th>F_chrysotus_BW_1.quant</th>\n",
       "      <th>F_chrysotus_BW_2.quant</th>\n",
       "      <th>F_chrysotus_BW_3.quant</th>\n",
       "      <th>F_chrysotus_FW_1.quant</th>\n",
       "      <th>F_chrysotus_FW_2.quant</th>\n",
       "      <th>F_chrysotus_FW_3.quant</th>\n",
       "      <th>F_chrysotus_transfer_1.quant</th>\n",
       "      <th>F_chrysotus_transfer_2.quant</th>\n",
       "      <th>F_catanatus_BW_1.quant</th>\n",
       "      <th>F_catanatus_BW_2.quant</th>\n",
       "      <th>F_catanatus_BW_3.quant</th>\n",
       "      <th>F_catanatus_FW_1.quant</th>\n",
       "      <th>F_catanatus_FW_2.quant</th>\n",
       "      <th>F_catanatus_transfer_1.quant</th>\n",
       "      <th>F_catanatus_transfer_2.quant</th>\n",
       "      <th>A_xenica_BW_1.quant</th>\n",
       "      <th>A_xenica_BW_2.quant</th>\n",
       "      <th>A_xenica_BW_3.quant</th>\n",
       "      <th>A_xenica_FW_1.quant</th>\n",
       "      <th>A_xenica_FW_2.quant</th>\n",
       "      <th>A_xenica_FW_3.quant</th>\n",
       "      <th>A_xenica_transfer_1.quant</th>\n",
       "      <th>A_xenica_transfer_2.quant</th>\n",
       "      <th>A_xenica_transfer_3.quant</th>\n",
       "      <th>F_heteroclitusMDPL_BW_1.quant</th>\n",
       "      <th>F_heteroclitusMDPL_BW_2.quant</th>\n",
       "      <th>F_heteroclitusMDPL_BW_3.quant</th>\n",
       "      <th>F_heteroclitusMDPL_FW_1.quant</th>\n",
       "      <th>F_heteroclitusMDPL_FW_2.quant</th>\n",
       "      <th>F_heteroclitusMDPL_FW_3.quant</th>\n",
       "      <th>F_heteroclitusMDPL_transfer_1.quant</th>\n",
       "      <th>F_heteroclitusMDPL_transfer_2.quant</th>\n",
       "      <th>F_heteroclitusMDPL_transfer_3.quant</th>\n",
       "      <th>L_parva_BW_1.quant</th>\n",
       "      <th>L_parva_BW_2.quant</th>\n",
       "      <th>L_parva_BW_3.quant</th>\n",
       "      <th>L_parva_FW_1.quant</th>\n",
       "      <th>L_parva_FW_2.quant</th>\n",
       "      <th>L_parva_FW_3.quant</th>\n",
       "      <th>L_parva_transfer_1.quant</th>\n",
       "      <th>L_parva_transfer_2.quant</th>\n",
       "      <th>L_parva_transfer_3.quant</th>\n",
       "      <th>F_heteroclitusMDPP_BW_1.quant</th>\n",
       "      <th>F_heteroclitusMDPP_BW_2.quant</th>\n",
       "      <th>F_heteroclitusMDPP_BW_3.quant</th>\n",
       "      <th>F_heteroclitusMDPP_FW_1.quant</th>\n",
       "      <th>F_heteroclitusMDPP_FW_2.quant</th>\n",
       "      <th>F_heteroclitusMDPP_FW_3.quant</th>\n",
       "      <th>F_heteroclitusMDPP_transfer_1.quant</th>\n",
       "      <th>F_heteroclitusMDPP_transfer_2.quant</th>\n",
       "      <th>F_heteroclitusMDPP_transfer_3.quant</th>\n",
       "      <th>F_similis_BW_1.quant</th>\n",
       "      <th>F_similis_BW_2.quant</th>\n",
       "      <th>F_similis_BW_3.quant</th>\n",
       "      <th>F_similis_FW_1.quant</th>\n",
       "      <th>F_similis_FW_2.quant</th>\n",
       "      <th>F_similis_FW_3.quant</th>\n",
       "      <th>F_similis_transfer_1.quant</th>\n",
       "      <th>F_similis_transfer_2.quant</th>\n",
       "      <th>F_similis_transfer_3.quant</th>\n",
       "      <th>F_diaphanus_BW_1.quant</th>\n",
       "      <th>F_diaphanus_BW_2.quant</th>\n",
       "      <th>F_diaphanus_FW_2.quant</th>\n",
       "      <th>F_diaphanus_FW_3.quant</th>\n",
       "      <th>F_diaphanus_transfer_1.quant</th>\n",
       "      <th>F_diaphanus_transfer_2.quant</th>\n",
       "      <th>F_parvapinis_BW_1.quant</th>\n",
       "      <th>F_parvapinis_BW_2.quant</th>\n",
       "      <th>F_parvapinis_BW_3.quant</th>\n",
       "      <th>F_parvapinis_FW_1.quant</th>\n",
       "      <th>F_parvapinis_FW_2.quant</th>\n",
       "      <th>F_parvapinis_FW_3.quant</th>\n",
       "      <th>F_parvapinis_transfer_1.quant</th>\n",
       "      <th>F_parvapinis_transfer_2.quant</th>\n",
       "      <th>L_goodei_BW_1.quant</th>\n",
       "      <th>L_goodei_BW_2.quant</th>\n",
       "      <th>L_goodei_BW_3.quant</th>\n",
       "      <th>L_goodei_FW_1.quant</th>\n",
       "      <th>L_goodei_FW_2.quant</th>\n",
       "      <th>L_goodei_FW_3.quant</th>\n",
       "      <th>L_goodei_transfer_1.quant</th>\n",
       "      <th>L_goodei_transfer_2.quant</th>\n",
       "      <th>L_goodei_transfer_3.quant</th>\n",
       "      <th>F_olivaceous_BW_1.quant</th>\n",
       "      <th>F_olivaceous_BW_2.quant</th>\n",
       "      <th>F_olivaceous_BW_3.quant</th>\n",
       "      <th>F_olivaceous_FW_1.quant</th>\n",
       "      <th>F_olivaceous_FW_2.quant</th>\n",
       "      <th>F_olivaceous_FW_3.quant</th>\n",
       "      <th>F_olivaceous_transfer_1.quant</th>\n",
       "      <th>F_olivaceous_transfer_2.quant</th>\n",
       "      <th>F_rathbuni_BW_1.quant</th>\n",
       "      <th>F_rathbuni_BW_2.quant</th>\n",
       "      <th>F_rathbuni_BW_3.quant</th>\n",
       "      <th>F_rathbuni_FW_1.quant</th>\n",
       "      <th>F_rathbuni_FW_2.quant</th>\n",
       "      <th>F_rathbuni_FW_3.quant</th>\n",
       "      <th>F_rathbuni_transfer_1.quant</th>\n",
       "      <th>F_rathbuni_transfer_2.quant</th>\n",
       "      <th>F_rathbuni_transfer_3.quant</th>\n",
       "      <th>F_sciadicus_BW_1.quant</th>\n",
       "      <th>F_sciadicus_FW_1.quant</th>\n",
       "      <th>F_sciadicus_FW_2.quant</th>\n",
       "      <th>F_sciadicus_transfer_1.quant</th>\n",
       "      <th>F_zebrinus_BW_1.quant</th>\n",
       "      <th>F_zebrinus_BW_2.quant</th>\n",
       "      <th>F_zebrinus_FW_1.quant</th>\n",
       "      <th>F_zebrinus_FW_2.quant</th>\n",
       "      <th>F_grandis_BW_1.quant</th>\n",
       "      <th>F_grandis_BW_2.quant</th>\n",
       "      <th>F_grandis_BW_3.quant</th>\n",
       "      <th>F_grandis_FW_1.quant</th>\n",
       "      <th>F_grandis_FW_2.quant</th>\n",
       "      <th>F_grandis_FW_3.quant</th>\n",
       "      <th>F_grandis_transfer_1.quant</th>\n",
       "      <th>F_grandis_transfer_2.quant</th>\n",
       "      <th>F_grandis_transfer_3.quant</th>\n",
       "      <th>F_notatus_BW_1.quant</th>\n",
       "      <th>F_notatus_BW_2.quant</th>\n",
       "      <th>F_notatus_BW_3.quant</th>\n",
       "      <th>F_notatus_FW_1.quant</th>\n",
       "      <th>F_notatus_FW_2.quant</th>\n",
       "      <th>F_notatus_FW_3.quant</th>\n",
       "      <th>F_notatus_transfer_1.quant</th>\n",
       "      <th>F_notatus_transfer_2.quant</th>\n",
       "      <th>F_notatus_transfer_3.quant</th>\n",
       "      <th>F_notti_FW_1.quant</th>\n",
       "      <th>F_notti_FW_2.quant</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Empty</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_chrysotus</td>\n",
       "      <td>F_catanatus</td>\n",
       "      <td>F_catanatus</td>\n",
       "      <td>F_catanatus</td>\n",
       "      <td>F_catanatus</td>\n",
       "      <td>F_catanatus</td>\n",
       "      <td>F_catanatus</td>\n",
       "      <td>F_catanatus</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>A_xenica</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>F_heteroclitusMDPL</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>L_parva</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_heteroclitusMDPP</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_similis</td>\n",
       "      <td>F_diaphanus</td>\n",
       "      <td>F_diaphanus</td>\n",
       "      <td>F_diaphanus</td>\n",
       "      <td>F_diaphanus</td>\n",
       "      <td>F_diaphanus</td>\n",
       "      <td>F_diaphanus</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>F_parvapinis</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>L_goodei</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_olivaceous</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_rathbuni</td>\n",
       "      <td>F_sciadicus</td>\n",
       "      <td>F_sciadicus</td>\n",
       "      <td>F_sciadicus</td>\n",
       "      <td>F_sciadicus</td>\n",
       "      <td>F_zebrinus</td>\n",
       "      <td>F_zebrinus</td>\n",
       "      <td>F_zebrinus</td>\n",
       "      <td>F_zebrinus</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_grandis</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notatus</td>\n",
       "      <td>F_notti</td>\n",
       "      <td>F_notti</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Empty</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>BW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "      <td>FW</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Empty</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade2</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade1</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "      <td>Clade3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Empty</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>BW_Clade3</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade2</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>BW_Clade1</td>\n",
       "      <td>BW_Clade1</td>\n",
       "      <td>BW_Clade1</td>\n",
       "      <td>BW_Clade1</td>\n",
       "      <td>BW_Clade1</td>\n",
       "      <td>BW_Clade1</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>BW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade2</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade1</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade3</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>M_Clade1</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "      <td>FW_Clade3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Empty</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>15_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>transfer</td>\n",
       "      <td>0.2_ppt</td>\n",
       "      <td>0.2_ppt</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Evigene F_chrysotus_BW_1.quant F_chrysotus_BW_2.quant  \\\n",
       "0   Empty            F_chrysotus            F_chrysotus   \n",
       "0   Empty                     BW                     BW   \n",
       "0   Empty                 Clade3                 Clade3   \n",
       "0   Empty              BW_Clade3              BW_Clade3   \n",
       "0   Empty                 15_ppt                 15_ppt   \n",
       "\n",
       "  F_chrysotus_BW_3.quant F_chrysotus_FW_1.quant F_chrysotus_FW_2.quant  \\\n",
       "0            F_chrysotus            F_chrysotus            F_chrysotus   \n",
       "0                     BW                     BW                     BW   \n",
       "0                 Clade3                 Clade3                 Clade3   \n",
       "0              BW_Clade3              BW_Clade3              BW_Clade3   \n",
       "0                 15_ppt                0.2_ppt                0.2_ppt   \n",
       "\n",
       "  F_chrysotus_FW_3.quant F_chrysotus_transfer_1.quant  \\\n",
       "0            F_chrysotus                  F_chrysotus   \n",
       "0                     BW                           BW   \n",
       "0                 Clade3                       Clade3   \n",
       "0              BW_Clade3                    BW_Clade3   \n",
       "0                0.2_ppt                     transfer   \n",
       "\n",
       "  F_chrysotus_transfer_2.quant F_catanatus_BW_1.quant F_catanatus_BW_2.quant  \\\n",
       "0                  F_chrysotus            F_catanatus            F_catanatus   \n",
       "0                           BW                     FW                     FW   \n",
       "0                       Clade3                 Clade1                 Clade1   \n",
       "0                    BW_Clade3              FW_Clade1              FW_Clade1   \n",
       "0                     transfer                 15_ppt                 15_ppt   \n",
       "\n",
       "  F_catanatus_BW_3.quant F_catanatus_FW_1.quant F_catanatus_FW_2.quant  \\\n",
       "0            F_catanatus            F_catanatus            F_catanatus   \n",
       "0                     FW                     FW                     FW   \n",
       "0                 Clade1                 Clade1                 Clade1   \n",
       "0              FW_Clade1              FW_Clade1              FW_Clade1   \n",
       "0                 15_ppt                0.2_ppt                0.2_ppt   \n",
       "\n",
       "  F_catanatus_transfer_1.quant F_catanatus_transfer_2.quant  \\\n",
       "0                  F_catanatus                  F_catanatus   \n",
       "0                           FW                           FW   \n",
       "0                       Clade1                       Clade1   \n",
       "0                    FW_Clade1                    FW_Clade1   \n",
       "0                     transfer                     transfer   \n",
       "\n",
       "  A_xenica_BW_1.quant A_xenica_BW_2.quant A_xenica_BW_3.quant  \\\n",
       "0            A_xenica            A_xenica            A_xenica   \n",
       "0                   M                   M                   M   \n",
       "0              Clade3              Clade3              Clade3   \n",
       "0            M_Clade3            M_Clade3            M_Clade3   \n",
       "0              15_ppt              15_ppt              15_ppt   \n",
       "\n",
       "  A_xenica_FW_1.quant A_xenica_FW_2.quant A_xenica_FW_3.quant  \\\n",
       "0            A_xenica            A_xenica            A_xenica   \n",
       "0                   M                   M                   M   \n",
       "0              Clade3              Clade3              Clade3   \n",
       "0            M_Clade3            M_Clade3            M_Clade3   \n",
       "0             0.2_ppt             0.2_ppt             0.2_ppt   \n",
       "\n",
       "  A_xenica_transfer_1.quant A_xenica_transfer_2.quant  \\\n",
       "0                  A_xenica                  A_xenica   \n",
       "0                         M                         M   \n",
       "0                    Clade3                    Clade3   \n",
       "0                  M_Clade3                  M_Clade3   \n",
       "0                  transfer                  transfer   \n",
       "\n",
       "  A_xenica_transfer_3.quant F_heteroclitusMDPL_BW_1.quant  \\\n",
       "0                  A_xenica            F_heteroclitusMDPL   \n",
       "0                         M                             M   \n",
       "0                    Clade3                        Clade1   \n",
       "0                  M_Clade3                      M_Clade1   \n",
       "0                  transfer                        15_ppt   \n",
       "\n",
       "  F_heteroclitusMDPL_BW_2.quant F_heteroclitusMDPL_BW_3.quant  \\\n",
       "0            F_heteroclitusMDPL            F_heteroclitusMDPL   \n",
       "0                             M                             M   \n",
       "0                        Clade1                        Clade1   \n",
       "0                      M_Clade1                      M_Clade1   \n",
       "0                        15_ppt                        15_ppt   \n",
       "\n",
       "  F_heteroclitusMDPL_FW_1.quant F_heteroclitusMDPL_FW_2.quant  \\\n",
       "0            F_heteroclitusMDPL            F_heteroclitusMDPL   \n",
       "0                             M                             M   \n",
       "0                        Clade1                        Clade1   \n",
       "0                      M_Clade1                      M_Clade1   \n",
       "0                       0.2_ppt                       0.2_ppt   \n",
       "\n",
       "  F_heteroclitusMDPL_FW_3.quant F_heteroclitusMDPL_transfer_1.quant  \\\n",
       "0            F_heteroclitusMDPL                  F_heteroclitusMDPL   \n",
       "0                             M                                   M   \n",
       "0                        Clade1                              Clade1   \n",
       "0                      M_Clade1                            M_Clade1   \n",
       "0                       0.2_ppt                            transfer   \n",
       "\n",
       "  F_heteroclitusMDPL_transfer_2.quant F_heteroclitusMDPL_transfer_3.quant  \\\n",
       "0                  F_heteroclitusMDPL                  F_heteroclitusMDPL   \n",
       "0                                   M                                   M   \n",
       "0                              Clade1                              Clade1   \n",
       "0                            M_Clade1                            M_Clade1   \n",
       "0                            transfer                            transfer   \n",
       "\n",
       "  L_parva_BW_1.quant L_parva_BW_2.quant L_parva_BW_3.quant L_parva_FW_1.quant  \\\n",
       "0            L_parva            L_parva            L_parva            L_parva   \n",
       "0                  M                  M                  M                  M   \n",
       "0             Clade2             Clade2             Clade2             Clade2   \n",
       "0           M_Clade2           M_Clade2           M_Clade2           M_Clade2   \n",
       "0             15_ppt             15_ppt             15_ppt            0.2_ppt   \n",
       "\n",
       "  L_parva_FW_2.quant L_parva_FW_3.quant L_parva_transfer_1.quant  \\\n",
       "0            L_parva            L_parva                  L_parva   \n",
       "0                  M                  M                        M   \n",
       "0             Clade2             Clade2                   Clade2   \n",
       "0           M_Clade2           M_Clade2                 M_Clade2   \n",
       "0            0.2_ppt            0.2_ppt                 transfer   \n",
       "\n",
       "  L_parva_transfer_2.quant L_parva_transfer_3.quant  \\\n",
       "0                  L_parva                  L_parva   \n",
       "0                        M                        M   \n",
       "0                   Clade2                   Clade2   \n",
       "0                 M_Clade2                 M_Clade2   \n",
       "0                 transfer                 transfer   \n",
       "\n",
       "  F_heteroclitusMDPP_BW_1.quant F_heteroclitusMDPP_BW_2.quant  \\\n",
       "0            F_heteroclitusMDPP            F_heteroclitusMDPP   \n",
       "0                             M                             M   \n",
       "0                        Clade1                        Clade1   \n",
       "0                      M_Clade1                      M_Clade1   \n",
       "0                        15_ppt                        15_ppt   \n",
       "\n",
       "  F_heteroclitusMDPP_BW_3.quant F_heteroclitusMDPP_FW_1.quant  \\\n",
       "0            F_heteroclitusMDPP            F_heteroclitusMDPP   \n",
       "0                             M                             M   \n",
       "0                        Clade1                        Clade1   \n",
       "0                      M_Clade1                      M_Clade1   \n",
       "0                        15_ppt                       0.2_ppt   \n",
       "\n",
       "  F_heteroclitusMDPP_FW_2.quant F_heteroclitusMDPP_FW_3.quant  \\\n",
       "0            F_heteroclitusMDPP            F_heteroclitusMDPP   \n",
       "0                             M                             M   \n",
       "0                        Clade1                        Clade1   \n",
       "0                      M_Clade1                      M_Clade1   \n",
       "0                       0.2_ppt                       0.2_ppt   \n",
       "\n",
       "  F_heteroclitusMDPP_transfer_1.quant F_heteroclitusMDPP_transfer_2.quant  \\\n",
       "0                  F_heteroclitusMDPP                  F_heteroclitusMDPP   \n",
       "0                                   M                                   M   \n",
       "0                              Clade1                              Clade1   \n",
       "0                            M_Clade1                            M_Clade1   \n",
       "0                            transfer                            transfer   \n",
       "\n",
       "  F_heteroclitusMDPP_transfer_3.quant F_similis_BW_1.quant  \\\n",
       "0                  F_heteroclitusMDPP            F_similis   \n",
       "0                                   M                    M   \n",
       "0                              Clade1               Clade1   \n",
       "0                            M_Clade1             M_Clade1   \n",
       "0                            transfer               15_ppt   \n",
       "\n",
       "  F_similis_BW_2.quant F_similis_BW_3.quant F_similis_FW_1.quant  \\\n",
       "0            F_similis            F_similis            F_similis   \n",
       "0                    M                    M                    M   \n",
       "0               Clade1               Clade1               Clade1   \n",
       "0             M_Clade1             M_Clade1             M_Clade1   \n",
       "0               15_ppt               15_ppt              0.2_ppt   \n",
       "\n",
       "  F_similis_FW_2.quant F_similis_FW_3.quant F_similis_transfer_1.quant  \\\n",
       "0            F_similis            F_similis                  F_similis   \n",
       "0                    M                    M                          M   \n",
       "0               Clade1               Clade1                     Clade1   \n",
       "0             M_Clade1             M_Clade1                   M_Clade1   \n",
       "0              0.2_ppt              0.2_ppt                   transfer   \n",
       "\n",
       "  F_similis_transfer_2.quant F_similis_transfer_3.quant  \\\n",
       "0                  F_similis                  F_similis   \n",
       "0                          M                          M   \n",
       "0                     Clade1                     Clade1   \n",
       "0                   M_Clade1                   M_Clade1   \n",
       "0                   transfer                   transfer   \n",
       "\n",
       "  F_diaphanus_BW_1.quant F_diaphanus_BW_2.quant F_diaphanus_FW_2.quant  \\\n",
       "0            F_diaphanus            F_diaphanus            F_diaphanus   \n",
       "0                     BW                     BW                     BW   \n",
       "0                 Clade1                 Clade1                 Clade1   \n",
       "0              BW_Clade1              BW_Clade1              BW_Clade1   \n",
       "0                 15_ppt                 15_ppt                0.2_ppt   \n",
       "\n",
       "  F_diaphanus_FW_3.quant F_diaphanus_transfer_1.quant  \\\n",
       "0            F_diaphanus                  F_diaphanus   \n",
       "0                     BW                           BW   \n",
       "0                 Clade1                       Clade1   \n",
       "0              BW_Clade1                    BW_Clade1   \n",
       "0                0.2_ppt                     transfer   \n",
       "\n",
       "  F_diaphanus_transfer_2.quant F_parvapinis_BW_1.quant  \\\n",
       "0                  F_diaphanus            F_parvapinis   \n",
       "0                           BW                      BW   \n",
       "0                       Clade1                  Clade2   \n",
       "0                    BW_Clade1               BW_Clade2   \n",
       "0                     transfer                  15_ppt   \n",
       "\n",
       "  F_parvapinis_BW_2.quant F_parvapinis_BW_3.quant F_parvapinis_FW_1.quant  \\\n",
       "0            F_parvapinis            F_parvapinis            F_parvapinis   \n",
       "0                      BW                      BW                      BW   \n",
       "0                  Clade2                  Clade2                  Clade2   \n",
       "0               BW_Clade2               BW_Clade2               BW_Clade2   \n",
       "0                  15_ppt                  15_ppt                 0.2_ppt   \n",
       "\n",
       "  F_parvapinis_FW_2.quant F_parvapinis_FW_3.quant  \\\n",
       "0            F_parvapinis            F_parvapinis   \n",
       "0                      BW                      BW   \n",
       "0                  Clade2                  Clade2   \n",
       "0               BW_Clade2               BW_Clade2   \n",
       "0                 0.2_ppt                 0.2_ppt   \n",
       "\n",
       "  F_parvapinis_transfer_1.quant F_parvapinis_transfer_2.quant  \\\n",
       "0                  F_parvapinis                  F_parvapinis   \n",
       "0                            BW                            BW   \n",
       "0                        Clade2                        Clade2   \n",
       "0                     BW_Clade2                     BW_Clade2   \n",
       "0                      transfer                      transfer   \n",
       "\n",
       "  L_goodei_BW_1.quant L_goodei_BW_2.quant L_goodei_BW_3.quant  \\\n",
       "0            L_goodei            L_goodei            L_goodei   \n",
       "0                  FW                  FW                  FW   \n",
       "0              Clade2              Clade2              Clade2   \n",
       "0           FW_Clade2           FW_Clade2           FW_Clade2   \n",
       "0              15_ppt              15_ppt              15_ppt   \n",
       "\n",
       "  L_goodei_FW_1.quant L_goodei_FW_2.quant L_goodei_FW_3.quant  \\\n",
       "0            L_goodei            L_goodei            L_goodei   \n",
       "0                  FW                  FW                  FW   \n",
       "0              Clade2              Clade2              Clade2   \n",
       "0           FW_Clade2           FW_Clade2           FW_Clade2   \n",
       "0             0.2_ppt             0.2_ppt             0.2_ppt   \n",
       "\n",
       "  L_goodei_transfer_1.quant L_goodei_transfer_2.quant  \\\n",
       "0                  L_goodei                  L_goodei   \n",
       "0                        FW                        FW   \n",
       "0                    Clade2                    Clade2   \n",
       "0                 FW_Clade2                 FW_Clade2   \n",
       "0                  transfer                  transfer   \n",
       "\n",
       "  L_goodei_transfer_3.quant F_olivaceous_BW_1.quant F_olivaceous_BW_2.quant  \\\n",
       "0                  L_goodei            F_olivaceous            F_olivaceous   \n",
       "0                        FW                      FW                      FW   \n",
       "0                    Clade2                  Clade3                  Clade3   \n",
       "0                 FW_Clade2               FW_Clade3               FW_Clade3   \n",
       "0                  transfer                  15_ppt                  15_ppt   \n",
       "\n",
       "  F_olivaceous_BW_3.quant F_olivaceous_FW_1.quant F_olivaceous_FW_2.quant  \\\n",
       "0            F_olivaceous            F_olivaceous            F_olivaceous   \n",
       "0                      FW                      FW                      FW   \n",
       "0                  Clade3                  Clade3                  Clade3   \n",
       "0               FW_Clade3               FW_Clade3               FW_Clade3   \n",
       "0                  15_ppt                 0.2_ppt                 0.2_ppt   \n",
       "\n",
       "  F_olivaceous_FW_3.quant F_olivaceous_transfer_1.quant  \\\n",
       "0            F_olivaceous                  F_olivaceous   \n",
       "0                      FW                            FW   \n",
       "0                  Clade3                        Clade3   \n",
       "0               FW_Clade3                     FW_Clade3   \n",
       "0                 0.2_ppt                      transfer   \n",
       "\n",
       "  F_olivaceous_transfer_2.quant F_rathbuni_BW_1.quant F_rathbuni_BW_2.quant  \\\n",
       "0                  F_olivaceous            F_rathbuni            F_rathbuni   \n",
       "0                            FW                    FW                    FW   \n",
       "0                        Clade3                Clade1                Clade1   \n",
       "0                     FW_Clade3             FW_Clade1             FW_Clade1   \n",
       "0                      transfer                15_ppt                15_ppt   \n",
       "\n",
       "  F_rathbuni_BW_3.quant F_rathbuni_FW_1.quant F_rathbuni_FW_2.quant  \\\n",
       "0            F_rathbuni            F_rathbuni            F_rathbuni   \n",
       "0                    FW                    FW                    FW   \n",
       "0                Clade1                Clade1                Clade1   \n",
       "0             FW_Clade1             FW_Clade1             FW_Clade1   \n",
       "0                15_ppt               0.2_ppt               0.2_ppt   \n",
       "\n",
       "  F_rathbuni_FW_3.quant F_rathbuni_transfer_1.quant  \\\n",
       "0            F_rathbuni                  F_rathbuni   \n",
       "0                    FW                          FW   \n",
       "0                Clade1                      Clade1   \n",
       "0             FW_Clade1                   FW_Clade1   \n",
       "0               0.2_ppt                    transfer   \n",
       "\n",
       "  F_rathbuni_transfer_2.quant F_rathbuni_transfer_3.quant  \\\n",
       "0                  F_rathbuni                  F_rathbuni   \n",
       "0                          FW                          FW   \n",
       "0                      Clade1                      Clade1   \n",
       "0                   FW_Clade1                   FW_Clade1   \n",
       "0                    transfer                    transfer   \n",
       "\n",
       "  F_sciadicus_BW_1.quant F_sciadicus_FW_1.quant F_sciadicus_FW_2.quant  \\\n",
       "0            F_sciadicus            F_sciadicus            F_sciadicus   \n",
       "0                     FW                     FW                     FW   \n",
       "0                 Clade3                 Clade3                 Clade3   \n",
       "0              FW_Clade3              FW_Clade3              FW_Clade3   \n",
       "0                 15_ppt                0.2_ppt                0.2_ppt   \n",
       "\n",
       "  F_sciadicus_transfer_1.quant F_zebrinus_BW_1.quant F_zebrinus_BW_2.quant  \\\n",
       "0                  F_sciadicus            F_zebrinus            F_zebrinus   \n",
       "0                           FW                     M                     M   \n",
       "0                       Clade3                Clade3                Clade3   \n",
       "0                    FW_Clade3              M_Clade3              M_Clade3   \n",
       "0                     transfer                15_ppt                15_ppt   \n",
       "\n",
       "  F_zebrinus_FW_1.quant F_zebrinus_FW_2.quant F_grandis_BW_1.quant  \\\n",
       "0            F_zebrinus            F_zebrinus            F_grandis   \n",
       "0                     M                     M                    M   \n",
       "0                Clade3                Clade3               Clade1   \n",
       "0              M_Clade3              M_Clade3             M_Clade1   \n",
       "0               0.2_ppt               0.2_ppt               15_ppt   \n",
       "\n",
       "  F_grandis_BW_2.quant F_grandis_BW_3.quant F_grandis_FW_1.quant  \\\n",
       "0            F_grandis            F_grandis            F_grandis   \n",
       "0                    M                    M                    M   \n",
       "0               Clade1               Clade1               Clade1   \n",
       "0             M_Clade1             M_Clade1             M_Clade1   \n",
       "0               15_ppt               15_ppt              0.2_ppt   \n",
       "\n",
       "  F_grandis_FW_2.quant F_grandis_FW_3.quant F_grandis_transfer_1.quant  \\\n",
       "0            F_grandis            F_grandis                  F_grandis   \n",
       "0                    M                    M                          M   \n",
       "0               Clade1               Clade1                     Clade1   \n",
       "0             M_Clade1             M_Clade1                   M_Clade1   \n",
       "0              0.2_ppt              0.2_ppt                   transfer   \n",
       "\n",
       "  F_grandis_transfer_2.quant F_grandis_transfer_3.quant F_notatus_BW_1.quant  \\\n",
       "0                  F_grandis                  F_grandis            F_notatus   \n",
       "0                          M                          M                   FW   \n",
       "0                     Clade1                     Clade1               Clade3   \n",
       "0                   M_Clade1                   M_Clade1            FW_Clade3   \n",
       "0                   transfer                   transfer               15_ppt   \n",
       "\n",
       "  F_notatus_BW_2.quant F_notatus_BW_3.quant F_notatus_FW_1.quant  \\\n",
       "0            F_notatus            F_notatus            F_notatus   \n",
       "0                   FW                   FW                   FW   \n",
       "0               Clade3               Clade3               Clade3   \n",
       "0            FW_Clade3            FW_Clade3            FW_Clade3   \n",
       "0               15_ppt               15_ppt              0.2_ppt   \n",
       "\n",
       "  F_notatus_FW_2.quant F_notatus_FW_3.quant F_notatus_transfer_1.quant  \\\n",
       "0            F_notatus            F_notatus                  F_notatus   \n",
       "0                   FW                   FW                         FW   \n",
       "0               Clade3               Clade3                     Clade3   \n",
       "0            FW_Clade3            FW_Clade3                  FW_Clade3   \n",
       "0              0.2_ppt              0.2_ppt                   transfer   \n",
       "\n",
       "  F_notatus_transfer_2.quant F_notatus_transfer_3.quant F_notti_FW_1.quant  \\\n",
       "0                  F_notatus                  F_notatus            F_notti   \n",
       "0                         FW                         FW                 FW   \n",
       "0                     Clade3                     Clade3             Clade3   \n",
       "0                  FW_Clade3                  FW_Clade3          FW_Clade3   \n",
       "0                   transfer                   transfer            0.2_ppt   \n",
       "\n",
       "  F_notti_FW_2.quant  \n",
       "0            F_notti  \n",
       "0                 FW  \n",
       "0             Clade3  \n",
       "0          FW_Clade3  \n",
       "0            0.2_ppt  "
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.set_option('display.max_columns',500)\n",
    "species_counts_real.tail(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "species_counts_real.to_csv(\"/Users/johnsolk/Documents/UCDavis/Whitehead/kfish_salmon/Evigene_species_counts_designfactors.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(31114, 129)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "species_counts_real.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}