Mol2vec example

mol2vec_amino_acids.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mol2vec Example: Amino Acids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from rdkit import Chem\n",
    "from rdkit.Chem import Draw\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from mol2vec.features import mol2alt_sentence\n",
    "from mol2vec.helpers import depict_identifier, plot_2D_vectors, IdentifierTable"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Amino acid SMILES and labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "aa_smis = ['CC(N)C(=O)O', 'N=C(N)NCCCC(N)C(=O)O', 'NC(=O)CC(N)C(=O)O', 'NC(CC(=O)O)C(=O)O',\n",
    "          'NC(CS)C(=O)O', 'NC(CCC(=O)O)C(=O)O', 'NC(=O)CCC(N)C(=O)O', 'NCC(=O)O',\n",
    "          'NC(Cc1cnc[nH]1)C(=O)O', 'CCC(C)C(N)C(=O)O', 'CC(C)CC(N)C(=O)O', 'NCCCCC(N)C(=O)O',\n",
    "          'CSCCC(N)C(=O)O', 'NC(Cc1ccccc1)C(=O)O', 'O=C(O)C1CCCN1', 'NC(CO)C(=O)O',\n",
    "          'CC(O)C(N)C(=O)O', 'NC(Cc1c[nH]c2ccccc12)C(=O)O', 'NC(Cc1ccc(O)cc1)C(=O)O',\n",
    "          'CC(C)C(N)C(=O)O']\n",
    "aa_codes = ['ALA', 'ARG', 'ASN', 'ASP', 'CYS', 'GLU', 'GLN', 'GLY', 'HIS', 'ILE', \n",
    "            'LEU', 'LYS', 'MET', 'PHE', 'PRO', 'SER', 'THR', 'TRP', 'TYR', 'VAL']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate molecules using RDKit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.PngImagePlugin.PngImageFile image mode=RGB size=1000x800 at 0x7F2646C3A2B0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Generate molecules from SMILES\n",
    "aas = [Chem.MolFromSmiles(x) for x in aa_smis]\n",
    "# Draw molecules\n",
    "Draw.MolsToGridImage(aas, molsPerRow=5, useSVG=False, legends=aa_codes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generating fingerprints for the molecule 'ALA'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of ids: 12\n",
      "Substructure IDs:\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "['2246728737',\n",
       " '3537119515',\n",
       " '2245273601',\n",
       " '2655406212',\n",
       " '847957139',\n",
       " '2599973650',\n",
       " '2246699815',\n",
       " '3855312692',\n",
       " '864942730',\n",
       " '1510328189',\n",
       " '864662311',\n",
       " '1533864325']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# A fingerprint is a 'sentence', made up of 'words', which are chemical substructures.\n",
    "# Usage: mol2alt_sentence(molecule, radius)\n",
    "sentence = mol2alt_sentence(aas[0], 1)\n",
    "print(\"Number of ids:\", len(sentence))\n",
    "print(\"Substructure IDs:\")\n",
    "sentence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg baseProfile=\"full\" height=\"300px\" version=\"1.1\" width=\"300px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<rect height=\"300\" style=\"opacity:1.0;fill:#FFFFFF;stroke:none\" width=\"300\" x=\"0\" y=\"0\"> </rect>\n",
       "<ellipse cx=\"236.769\" cy=\"72.0873\" rx=\"29.9886\" ry=\"29.9886\" style=\"fill:#00FF00;fill-rule:evenodd;stroke:#00FF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 236.769,72.0873 191.786,150\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 191.786,150 210.467,182.356\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 210.467,182.356 229.148,214.713\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 191.786,150 101.82,150\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 94.0289,145.502 75.0016,178.458\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 75.0016,178.458 55.9742,211.414\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 109.611,154.498 90.5841,187.455\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 90.5841,187.455 71.5567,220.411\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 101.82,150 82.7928,117.044\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 82.7928,117.044 63.7655,84.0873\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:24px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"211.962\" y=\"241.113\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:18px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:24px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"45.6296\" y=\"239.913\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:24px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"35.2286\" y=\"84.0873\"><tspan>OH</tspan></text>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Display a substructure, or 'word'\n",
    "# Usage: depict_identifier(molecule, word, radius)\n",
    "depict_identifier(aas[0], 2246728737, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Displaying all fingerprints in 'ALA'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<div align=\"center\">2246728737</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
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       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
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       "<div align=\"center\">3537119515</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
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       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">2245273601</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#CCFF00;stroke-width:16px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
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       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0145,72.7509 39.2315,86.2313\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
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       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
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       "<div align=\"center\">2655406212</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0145,72.7509 39.2315,86.2313\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 39.2315,86.2313 31.4486,99.7118\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">847957139</div></td></tr><tr><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
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       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">2599973650</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<rect height=\"150\" style=\"opacity:1.0;fill:#FFFFFF;stroke:none\" width=\"150\" x=\"0\" y=\"0\"> </rect>\n",
       "<ellipse cx=\"50.9101\" cy=\"75\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#00FF00;fill-rule:evenodd;stroke:#00FF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0145,72.7509 39.2315,86.2313\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 39.2315,86.2313 31.4486,99.7118\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">2246699815</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<rect height=\"150\" style=\"opacity:1.0;fill:#FFFFFF;stroke:none\" width=\"150\" x=\"0\" y=\"0\"> </rect>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#CCFF00;stroke-width:16px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 28.4186,113.956\" style=\"fill:none;fill-rule:evenodd;stroke:#CCFF00;stroke-width:16px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 28.4186,36.0436\" style=\"fill:none;fill-rule:evenodd;stroke:#CCFF00;stroke-width:16px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<ellipse cx=\"95.893\" cy=\"75\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#CCFF00;fill-rule:evenodd;stroke:#CCFF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<ellipse cx=\"50.9101\" cy=\"75\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#00FF00;fill-rule:evenodd;stroke:#00FF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<ellipse cx=\"28.4186\" cy=\"113.956\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#CCFF00;fill-rule:evenodd;stroke:#CCFF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<ellipse cx=\"28.4186\" cy=\"36.0436\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#CCFF00;fill-rule:evenodd;stroke:#CCFF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0145,72.7509 39.2315,86.2313\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 39.2315,86.2313 31.4486,99.7118\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">3855312692</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<rect height=\"150\" style=\"opacity:1.0;fill:#FFFFFF;stroke:none\" width=\"150\" x=\"0\" y=\"0\"> </rect>\n",
       "<ellipse cx=\"28.4186\" cy=\"113.956\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#00FF00;fill-rule:evenodd;stroke:#00FF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0145,72.7509 39.2315,86.2313\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 39.2315,86.2313 31.4486,99.7118\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">864942730</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<rect height=\"150\" style=\"opacity:1.0;fill:#FFFFFF;stroke:none\" width=\"150\" x=\"0\" y=\"0\"> </rect>\n",
       "<path d=\"M 50.9101,75 28.4186,113.956\" style=\"fill:none;fill-rule:evenodd;stroke:#CCFF00;stroke-width:16px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<ellipse cx=\"50.9101\" cy=\"75\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#CCFF00;fill-rule:evenodd;stroke:#CCFF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<ellipse cx=\"28.4186\" cy=\"113.956\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#00FF00;fill-rule:evenodd;stroke:#00FF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0145,72.7509 39.2315,86.2313\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 39.2315,86.2313 31.4486,99.7118\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">1510328189</div></td></tr><tr><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<rect height=\"150\" style=\"opacity:1.0;fill:#FFFFFF;stroke:none\" width=\"150\" x=\"0\" y=\"0\"> </rect>\n",
       "<ellipse cx=\"28.4186\" cy=\"36.0436\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#00FF00;fill-rule:evenodd;stroke:#00FF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 118.385,36.0436 95.893,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 103.33,87.8807\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 103.33,87.8807 110.766,100.761\" style=\"fill:none;fill-rule:evenodd;stroke:#0000FF;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 95.893,75 50.9101,75\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0145,72.7509 39.2315,86.2313\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 39.2315,86.2313 31.4486,99.7118\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 54.8057,77.2491 47.0228,90.7296\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 47.0228,90.7296 39.2398,104.21\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 50.9101,75 43.1272,61.5195\" style=\"fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<path d=\"M 43.1272,61.5195 35.3442,48.0391\" style=\"fill:none;fill-rule:evenodd;stroke:#FF0000;stroke-width:2px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#0000FF\" x=\"93.5872\" y=\"127.151\"><tspan>NH</tspan><tspan style=\"baseline-shift:sub;font-size:17.25px;\">2</tspan><tspan/></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"17.2152\" y=\"125.952\"><tspan>O</tspan></text>\n",
       "<text style=\"font-size:23px;font-style:normal;font-weight:normal;fill-opacity:1;stroke:none;font-family:sans-serif;text-anchor:start;fill:#FF0000\" x=\"6.81818\" y=\"48.0391\"><tspan>OH</tspan></text>\n",
       "</svg></div>\n",
       "<div align=\"center\">864662311</div></td><td><div align=\"center\"><svg baseProfile=\"full\" height=\"150px\" version=\"1.1\" width=\"150px\" xml:space=\"preserve\" xmlns:rdkit=\"http://www.rdkit.org/xml\" xmlns:svg=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<rect height=\"150\" style=\"opacity:1.0;fill:#FFFFFF;stroke:none\" width=\"150\" x=\"0\" y=\"0\"> </rect>\n",
       "<path d=\"M 50.9101,75 28.4186,36.0436\" style=\"fill:none;fill-rule:evenodd;stroke:#CCFF00;stroke-width:16px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
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       "<ellipse cx=\"28.4186\" cy=\"36.0436\" rx=\"14.9943\" ry=\"14.9943\" style=\"fill:#00FF00;fill-rule:evenodd;stroke:#00FF00;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1\"/>\n",
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       "</svg></div>\n",
       "<div align=\"center\">1533864325</div></td></table>"
      ],
      "text/plain": [
       "<mol2vec.helpers.IdentifierTable at 0x7f2646a56780>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Usage: IdentifierTable(words, molecules, sentences, columns, radius)\n",
    "it = IdentifierTable(sentence, [aas[0]]*len(sentence), [sentence]*len(sentence), 5, 1)\n",
    "it"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "Load a pre-trained Mol2vec model which was trained on 20 million compounds downloaded from ZINC using:\n",
    "\n",
    "   - radius 1\n",
    "   - UNK to replace all identifiers that appear less than 4 times\n",
    "   - skip-gram and window size of 10\n",
    "   - resulting in 300 dimensional embeddings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gensim.models import word2vec\n",
    "\n",
    "model = word2vec.Word2Vec.load('model_300dim.pkl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Number of unique identifiers in the model represented as vectors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21003"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(model.wv.vocab.keys())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Convert a word into a 300-dimensional vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "       -0.15023577, -0.11782248, -0.08659063,  0.24853054, -0.40070862,\n",
       "       -0.09315503, -0.23434466, -0.15693004, -0.12124424, -0.0327328 ,\n",
       "       -0.34866536, -0.0376954 ,  0.13558605, -0.20372014,  0.4061085 ,\n",
       "        0.10162158, -0.21350786, -0.02066369, -0.0358629 ,  0.11450836,\n",
       "        0.14799364, -0.21853428, -0.14743723, -0.22579135,  0.09729052,\n",
       "       -0.38344836,  0.10088676,  0.07585081,  0.02820119, -0.41569206,\n",
       "       -0.09275492,  0.08091398, -0.11726886,  0.14639707, -0.28126308,\n",
       "        0.13199523,  0.06403705, -0.36460108,  0.00961768,  0.06640083,\n",
       "       -0.04556859, -0.02067296,  0.0126737 ,  0.06928783, -0.07982536,\n",
       "       -0.16160552,  0.16969219, -0.33816963,  0.22637248,  0.06084561,\n",
       "       -0.18671279, -0.05881248, -0.13147055, -0.05173157,  0.02093675,\n",
       "       -0.44577968, -0.26104671, -0.16792075, -0.22140698, -0.14985804,\n",
       "        0.10474232, -0.14514002, -0.04928601, -0.19753934, -0.06195066,\n",
       "        0.05147868,  0.05380682,  0.18856096, -0.09272308, -0.27400693,\n",
       "        0.05976561, -0.02035479, -0.28520337, -0.35264748,  0.07381927], dtype=float32)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.wv.word_vec('3537119515')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Extraction of identifiers from all the molecules (amino acids) in our library"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Find unique identifiers in data set\n",
    "aa_sentences = [mol2alt_sentence(x, 1) for x in aas]\n",
    "flat_list = [item for sublist in aa_sentences for item in sublist]\n",
    "aa_identifiers_unique = set(flat_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "Put identifiers in a pandas data frame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
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       "      <th>4022716898</th>\n",
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       "            identifier\n",
       "identifier            \n",
       "4022716898  4022716898\n",
       "2655406212  2655406212\n",
       "2117068077  2117068077\n",
       "2438720939  2438720939\n",
       "4252058327  4252058327"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_vec = pd.DataFrame()\n",
    "df_vec['identifier'] = list(aa_identifiers_unique)\n",
    "df_vec.index = df_vec['identifier']\n",
    "df_vec.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "75"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Number of unique identifiers in amino acid data set\n",
    "len(df_vec)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Converting each unique word into a vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "            identifier                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    mol2vec\n",
       "identifier                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
       "4022716898  4022716898  [0.0550803, 0.16976, -0.0617969, -0.203482, 0.179345, 0.113655, 0.320856, -0.0599592, 0.0438465, 0.17565, 0.0770341, -0.177756, 0.0346232, 0.146109, -0.16527, 0.01376, 0.159044, -0.421712, -0.420422, -0.153242, 0.539744, 0.190818, 0.35323, 0.00945306, -0.0473092, 0.486545, -0.310599, -0.0675227, -0.218203, -0.0576224, 0.249646, 0.152841, -0.408672, 0.0656924, -0.0514263, 0.0960301, -0.256196, 0.233568, 0.0529111, -0.2122, 0.525049, 0.236454, -0.440514, -0.0646998, -0.23814, -0.279009, -0.488557, 0.0871753, -0.115603, 0.103338, -0.149802, -0.0141716, -0.247269, -0.0510097, -0.183124, -0.452413, -0.0619474, 0.0837184, 0.389634, 0.264658, 0.0587423, -0.00883025, -0.0626814, 0.184835, 0.317948, -0.17903, -0.0189854, 0.0544184, -0.643969, -0.159048, -0.162591, 0.399047, 0.413324, 0.210652, 0.0483955, 0.183217, -0.108426, -0.0081872, 0.156928, 0.19788, 0.352969, 0.385361, -0.0231793, -0.267675, 0.120394, -0.207721, 0.176537, 0.158282, -0.00983056, -0.153019, 0.204417, -0.124889, 0.0399572, -0.201841, -0.0162584, -0.0970364, 0.0211702, 0.0298734, 0.474759, -0.631983, ...]\n",
       "2655406212  2655406212        [0.070078, 0.823527, -0.0971469, 0.035869, -0.116055, 0.0365223, 0.0893234, -0.454195, 0.253525, -0.0559116, -0.0281768, 0.370002, 0.415021, 0.0887676, -0.184786, -0.00254433, 0.635325, -0.437299, -0.294998, 0.556848, -0.250818, -0.133382, 0.277537, 0.114575, -0.121508, 0.152438, -0.294288, -0.133472, 0.0547794, -0.288829, -0.0364687, -0.173563, -0.239027, 0.0196082, 0.139219, -0.37107, 0.0901397, -0.019694, 0.0656985, 0.218995, 0.0775519, 0.202355, -0.413562, 0.220944, 0.103157, 0.0915389, 0.0555098, 0.478337, -0.0910774, 0.0383942, -0.190702, 0.0661122, 0.23661, -0.245452, -0.0309143, -0.551901, -0.342125, -0.206727, -0.0133005, -0.0806552, 0.391221, 0.18689, -0.280738, -0.139886, -0.195301, 0.0723965, -0.153828, 0.350451, -0.024316, 0.223362, 0.00886388, -0.0628751, 0.261687, 0.162048, 0.524962, 0.103017, -0.196801, -0.221645, 0.487972, 0.17487, 0.405926, 0.378825, -0.14096, -0.480385, -0.253406, -0.161529, -0.275172, 0.130989, -0.598763, 0.38215, -0.178972, 0.251159, -0.106462, 0.15614, -0.234581, 0.0332123, 0.514306, 0.00210781, 0.397342, -0.618697, ...]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_vec['mol2vec'] = [model.wv.word_vec(x) for x in aa_identifiers_unique]\n",
    "df_vec.head(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To find the vector for a molecule, we only need to add the component vectors of the words in its sentence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Length of vector: 300\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([-0.56623656,  1.66695499, -1.03032672, -0.8486892 ,  1.38927865,\n",
       "       -0.65651661, -1.93249059, -0.86687881,  2.22788548, -0.5531432 ,\n",
       "       -0.28141791,  1.43449104,  1.01623154,  0.9744252 , -2.37638068,\n",
       "        0.28936678,  2.65313268, -3.20678806, -2.36404705,  2.64651704,\n",
       "       -0.26400548,  1.23166776,  4.88075304,  1.61623859, -0.67045867,\n",
       "        1.52014434, -2.52590489, -1.94078076,  0.53918517, -0.89173549,\n",
       "        1.34411049, -2.08149219, -2.4165082 ,  0.18772164,  0.25891036,\n",
       "        0.62152874,  0.2202107 ,  0.10079446,  1.82635188,  1.158867  ,\n",
       "        0.28488109,  1.17184007, -0.69543517, -0.81215668, -0.63124448,\n",
       "        1.25806212,  0.77328885,  4.38785458, -1.26110828,  0.52569669,\n",
       "        0.82226342, -2.26572824,  0.12348263, -2.50525784, -2.78292727,\n",
       "       -3.81480718, -1.15301967,  0.71729332,  0.41595849,  0.7058605 ,\n",
       "       -0.06379641, -0.84249657, -1.67899966,  1.52096105, -4.53695393,\n",
       "        0.70094609,  1.32169044,  1.45452905, -1.80075598, -1.26833963,\n",
       "        0.20461078,  1.64218998,  1.77089548, -2.67192912,  0.2018328 ,\n",
       "        2.33777618, -3.30061054, -0.31619456,  0.81872827,  0.66054529,\n",
       "        1.8654983 ,  0.82428414,  0.98393625, -3.62869334,  0.93333131,\n",
       "       -1.0397886 , -0.91187972, -0.30958697, -0.6837666 , -0.22122863,\n",
       "        0.82595503,  1.34067094,  0.92642152,  0.7592864 ,  0.65960133,\n",
       "        0.20570633,  2.25403476, -0.13540569,  3.50564957, -1.45082319,\n",
       "       -0.71114969, -1.44946158, -2.84149981, -0.52653897,  1.33030272,\n",
       "       -3.33157039, -1.59293807,  1.76646066,  1.36486232, -2.34163427,\n",
       "       -3.40607238,  2.57039094,  1.53034782, -2.69400954,  1.08355677,\n",
       "       -1.6696434 ,  2.68158746,  1.73297608, -0.1344102 ,  1.30984604,\n",
       "       -1.15280962,  0.78894347, -0.32314333,  2.32378292,  0.57326841,\n",
       "       -3.76258755, -1.31610322,  0.56567717, -1.84563828,  0.36290252,\n",
       "        0.34343359, -1.29665422,  1.2077508 ,  4.33865643,  0.07379352,\n",
       "        1.96059549, -0.66214126, -1.34470987,  1.26665914,  0.23544523,\n",
       "        2.3314724 , -0.06805933, -0.78091848, -1.20758152,  0.83841854,\n",
       "        0.11794934,  0.80566204,  0.39593932,  1.31198692,  2.03255177,\n",
       "       -0.05648632, -0.30321801,  2.1444149 , -1.73223877,  0.68393922,\n",
       "        0.70599836, -0.98982239,  0.84381932, -0.38295013, -2.68584585,\n",
       "        1.18289649,  0.02036378, -0.19577082,  2.02088118,  1.35810196,\n",
       "       -3.56113005,  0.24490319, -0.22538637,  0.38471276,  0.96138608,\n",
       "       -1.37665868, -1.62773645,  2.53199553, -0.17793727,  0.619856  ,\n",
       "        0.39899653,  1.94947469, -0.75705528, -0.52126724,  2.7239635 ,\n",
       "       -1.04793251,  2.7230258 ,  1.29217529,  3.88564968, -0.75898528,\n",
       "       -1.93160796, -0.14963718,  1.26932216, -0.93432575, -1.40252244,\n",
       "        1.5078311 , -0.56489098, -2.52266169, -0.73443437,  2.41149616,\n",
       "        0.71356529,  1.20442235, -3.19927335,  0.29826987, -1.40686023,\n",
       "       -0.51540482, -0.33248085,  1.84123898,  1.25125098,  1.17817903,\n",
       "       -0.64490652,  1.74936819,  3.60522699,  1.36851335, -1.08172679,\n",
       "        4.81691456,  0.17486814,  3.16929126, -2.1080091 ,  0.85410851,\n",
       "       -0.17544438,  0.94541168,  1.44369948, -3.43334103,  1.72380853,\n",
       "        1.5743041 , -2.07112145, -0.41946784,  1.1863333 ,  0.55779254,\n",
       "        0.42836821, -0.50092685,  0.24204138,  1.99020362, -2.26803207,\n",
       "       -0.42326227, -1.75274873, -2.9351182 , -0.763336  , -0.4892236 ,\n",
       "       -2.00775838, -0.41115242, -0.79655075, -1.18474674,  2.26644754,\n",
       "        1.16281915, -2.55385375,  1.82072902, -0.0932973 , -0.6694811 ,\n",
       "        1.51893175, -4.15254831, -0.96258426, -0.51179439,  1.75337565,\n",
       "       -3.91213799,  0.71638656,  1.74930751, -1.50869608, -3.73066759,\n",
       "        2.3907249 ,  1.00296879, -1.35896826,  2.2764802 , -3.08340812,\n",
       "        0.21330398,  0.02013837,  0.56875277,  2.30839992, -0.15557933,\n",
       "       -2.06058121, -2.05603862, -0.38893545,  0.29341003, -1.33451903,\n",
       "       -0.05330741,  2.29725409,  0.48665261,  1.1595006 , -0.49392238,\n",
       "       -1.11569524, -0.92285144, -1.8943398 ,  0.11748137,  2.2734077 ,\n",
       "       -1.14313364, -1.62890196, -3.06630754, -0.49309257, -0.07871154,\n",
       "        1.29159319, -0.86087644, -0.13995597, -1.28351724, -0.55737823,\n",
       "       -0.2132878 ,  0.71316946,  1.31097245,  2.35725355, -2.30264187,\n",
       "       -0.401445  ,  0.61027861, -2.27043676, -3.89883256, -0.52139628], dtype=float32)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Words for 'ALA'\n",
    "sentence = mol2alt_sentence(aas[0], 1)\n",
    "# Get word vectors\n",
    "components = df_vec.loc[sentence]['mol2vec']\n",
    "# Get total vector\n",
    "ALA_vec = np.sum(components)\n",
    "print(\"Length of vector:\", len(ALA_vec))\n",
    "ALA_vec"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature redution to 2D (Only for visualization purposes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "300 dimensions are hard to visualize, so we poject the 300 dimensional vectors (representing identifiers) to 2 dimensions using a combination of PCA and t-SNE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "from sklearn.manifold import TSNE\n",
    "\n",
    "pca_model = PCA(n_components=30)\n",
    "tsne_model = TSNE(n_components=2, perplexity=10, n_iter=1000, metric = 'cosine')\n",
    "tsne_pca = tsne_model.fit_transform(pca_model.fit_transform(list((df_vec['mol2vec']))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Save principal components to data frame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>identifier</th>\n",
       "      <th>mol2vec</th>\n",
       "      <th>PCA-t-SNE-c1</th>\n",
       "      <th>PCA-t-SNE-c2</th>\n",
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       "      <th>4022716898</th>\n",
       "      <td>4022716898</td>\n",
       "      <td>[0.0550803, 0.16976, -0.0617969, -0.203482, 0.179345, 0.113655, 0.320856, -0.0599592, 0.0438465, 0.17565, 0.0770341, -0.177756, 0.0346232, 0.146109, -0.16527, 0.01376, 0.159044, -0.421712, -0.420422, -0.153242, 0.539744, 0.190818, 0.35323, 0.00945306, -0.0473092, 0.486545, -0.310599, -0.0675227, -0.218203, -0.0576224, 0.249646, 0.152841, -0.408672, 0.0656924, -0.0514263, 0.0960301, -0.256196, 0.233568, 0.0529111, -0.2122, 0.525049, 0.236454, -0.440514, -0.0646998, -0.23814, -0.279009, -0.488557, 0.0871753, -0.115603, 0.103338, -0.149802, -0.0141716, -0.247269, -0.0510097, -0.183124, -0.452413, -0.0619474, 0.0837184, 0.389634, 0.264658, 0.0587423, -0.00883025, -0.0626814, 0.184835, 0.317948, -0.17903, -0.0189854, 0.0544184, -0.643969, -0.159048, -0.162591, 0.399047, 0.413324, 0.210652, 0.0483955, 0.183217, -0.108426, -0.0081872, 0.156928, 0.19788, 0.352969, 0.385361, -0.0231793, -0.267675, 0.120394, -0.207721, 0.176537, 0.158282, -0.00983056, -0.153019, 0.204417, -0.124889, 0.0399572, -0.201841, -0.0162584, -0.0970364, 0.0211702, 0.0298734, 0.474759, -0.631983, ...]</td>\n",
       "      <td>-97.787148</td>\n",
       "      <td>-24.716702</td>\n",
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       "    <tr>\n",
       "      <th>2655406212</th>\n",
       "      <td>2655406212</td>\n",
       "      <td>[0.070078, 0.823527, -0.0971469, 0.035869, -0.116055, 0.0365223, 0.0893234, -0.454195, 0.253525, -0.0559116, -0.0281768, 0.370002, 0.415021, 0.0887676, -0.184786, -0.00254433, 0.635325, -0.437299, -0.294998, 0.556848, -0.250818, -0.133382, 0.277537, 0.114575, -0.121508, 0.152438, -0.294288, -0.133472, 0.0547794, -0.288829, -0.0364687, -0.173563, -0.239027, 0.0196082, 0.139219, -0.37107, 0.0901397, -0.019694, 0.0656985, 0.218995, 0.0775519, 0.202355, -0.413562, 0.220944, 0.103157, 0.0915389, 0.0555098, 0.478337, -0.0910774, 0.0383942, -0.190702, 0.0661122, 0.23661, -0.245452, -0.0309143, -0.551901, -0.342125, -0.206727, -0.0133005, -0.0806552, 0.391221, 0.18689, -0.280738, -0.139886, -0.195301, 0.0723965, -0.153828, 0.350451, -0.024316, 0.223362, 0.00886388, -0.0628751, 0.261687, 0.162048, 0.524962, 0.103017, -0.196801, -0.221645, 0.487972, 0.17487, 0.405926, 0.378825, -0.14096, -0.480385, -0.253406, -0.161529, -0.275172, 0.130989, -0.598763, 0.38215, -0.178972, 0.251159, -0.106462, 0.15614, -0.234581, 0.0332123, 0.514306, 0.00210781, 0.397342, -0.618697, ...]</td>\n",
       "      <td>-292.112701</td>\n",
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      "text/plain": [
       "            identifier                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    mol2vec  PCA-t-SNE-c1  PCA-t-SNE-c2\n",
       "identifier                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
       "4022716898  4022716898  [0.0550803, 0.16976, -0.0617969, -0.203482, 0.179345, 0.113655, 0.320856, -0.0599592, 0.0438465, 0.17565, 0.0770341, -0.177756, 0.0346232, 0.146109, -0.16527, 0.01376, 0.159044, -0.421712, -0.420422, -0.153242, 0.539744, 0.190818, 0.35323, 0.00945306, -0.0473092, 0.486545, -0.310599, -0.0675227, -0.218203, -0.0576224, 0.249646, 0.152841, -0.408672, 0.0656924, -0.0514263, 0.0960301, -0.256196, 0.233568, 0.0529111, -0.2122, 0.525049, 0.236454, -0.440514, -0.0646998, -0.23814, -0.279009, -0.488557, 0.0871753, -0.115603, 0.103338, -0.149802, -0.0141716, -0.247269, -0.0510097, -0.183124, -0.452413, -0.0619474, 0.0837184, 0.389634, 0.264658, 0.0587423, -0.00883025, -0.0626814, 0.184835, 0.317948, -0.17903, -0.0189854, 0.0544184, -0.643969, -0.159048, -0.162591, 0.399047, 0.413324, 0.210652, 0.0483955, 0.183217, -0.108426, -0.0081872, 0.156928, 0.19788, 0.352969, 0.385361, -0.0231793, -0.267675, 0.120394, -0.207721, 0.176537, 0.158282, -0.00983056, -0.153019, 0.204417, -0.124889, 0.0399572, -0.201841, -0.0162584, -0.0970364, 0.0211702, 0.0298734, 0.474759, -0.631983, ...]    -97.787148    -24.716702\n",
       "2655406212  2655406212        [0.070078, 0.823527, -0.0971469, 0.035869, -0.116055, 0.0365223, 0.0893234, -0.454195, 0.253525, -0.0559116, -0.0281768, 0.370002, 0.415021, 0.0887676, -0.184786, -0.00254433, 0.635325, -0.437299, -0.294998, 0.556848, -0.250818, -0.133382, 0.277537, 0.114575, -0.121508, 0.152438, -0.294288, -0.133472, 0.0547794, -0.288829, -0.0364687, -0.173563, -0.239027, 0.0196082, 0.139219, -0.37107, 0.0901397, -0.019694, 0.0656985, 0.218995, 0.0775519, 0.202355, -0.413562, 0.220944, 0.103157, 0.0915389, 0.0555098, 0.478337, -0.0910774, 0.0383942, -0.190702, 0.0661122, 0.23661, -0.245452, -0.0309143, -0.551901, -0.342125, -0.206727, -0.0133005, -0.0806552, 0.391221, 0.18689, -0.280738, -0.139886, -0.195301, 0.0723965, -0.153828, 0.350451, -0.024316, 0.223362, 0.00886388, -0.0628751, 0.261687, 0.162048, 0.524962, 0.103017, -0.196801, -0.221645, 0.487972, 0.17487, 0.405926, 0.378825, -0.14096, -0.480385, -0.253406, -0.161529, -0.275172, 0.130989, -0.598763, 0.38215, -0.178972, 0.251159, -0.106462, 0.15614, -0.234581, 0.0332123, 0.514306, 0.00210781, 0.397342, -0.618697, ...]   -292.112701     43.174313"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_vec['PCA-t-SNE-c1'] = tsne_pca.T[0]\n",
    "df_vec['PCA-t-SNE-c2'] = tsne_pca.T[1]\n",
    "df_vec.set_index('identifier')\n",
    "df_vec.head(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Function that returns 2d coordinates of a word\n",
    "def get_values(identifier):\n",
    "    return np.array((df_vec['PCA-t-SNE-c1'][str(identifier)], df_vec['PCA-t-SNE-c2'][str(identifier)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 142.46751404,   62.49291229], dtype=float32)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Example: getting the 2D embeddings for word '2246728737'\n",
    "get_values(2246728737)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting an amino acid's substructure vectors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A molecule's vector is equal to the sum of the vectors of the words in its sentence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f263b94af28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# List of 2D coordinates for every word in ALA's fingerprint\n",
    "aa_values = [get_values(x) for x in aa_sentences[1]]\n",
    "\n",
    "plt.figure(figsize=(8,6))\n",
    "ax = plt.subplot(111)\n",
    "plot_2D_vectors(aa_values, ax=ax, min_max_x=(-2000,2000), min_max_y=(-2000, 2000))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2D vector diagrams for every amino acid in the library"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YXgjNAAAAAIOE2WTS2ORUjf1EkMYXDMpls+mhM8/Tybkj9f2l/z7q1k6S1BYIqC0QULXaJEl3zJqv0/JGD+QjYJha8vf39fBNj8nvPfDvpdls0q2PfkGXfe18mVj1CACAAbGvuVF/Ll6jRZvWqyMY7PN4VrNZRRkeVbS2qLKt9ZDz6a443TX3VF05qUCWflqVsTuGYaisayulIyltadJzm4v17KYSVbUf2u9+E1PSdG3+NF0+YYqS2ZYJAAAAwEEIzQAAAACDmNlkkst2YIWOyybma1pmtr729qsqqa36/+zdd3hUVfoH8O/0mcykl5nJTCopJCEJqYTQUYqyCyi6iN3d1bWuuq5ldcW2rouua/1tYZu6ClYERREQREJPKIGQ3jOTSe/J9Ht/f0wYMqRNSJkkvJ/nyZOZc8+99wwRPLnnPe/r9HWenLMA9yXNGY8hkisYwzB479mPsfWVLx3aZV5SPPPxo0hdnuiikRFCCCHTU7vRgKPaamRpqvBjTQU0nR2jup4bX4AURSDSlGqkKVSYHaCEkMdD/H/eQVKAEqcbdAAAAZeLu+KT8WDyXHiIRGPxUQZlsJjx9MG9iPbxw69mp/c7brZasb83q8yPNRX9MutcIOLx8ZMZ0bg5NgHJ8kAK4iWEEEIIIYQMiIJmCCGEEEIImWLCvLzxxXUb8MrRg3gv79Sw/QVcLsrbWnFEW405SvW47gomV46eTj023f4OjuzIdmgPig7EizuehDoq0EUjI4QQQqYPk9WKU/W1OKSpwiFNFXIbdIMGiTjDRyxBulJtD5KJ9QsA/5K5YbO+B/++5jp8WpiH0w06LA0Ox+8zFyPcy2d0H8YJms523Lv7K+Q11ePPS1Y6HKvpaMcnhefwaeE5NPR0D3qNmT5+2BCbgLWRsfAUicd7yIQQQgghhJApjoJmCCGEEEIImYJEPD6en78U89TBePyH79BmNAza18ww+KwoD58V5UHuJsOayJlYExmLWF9/2nFLLouuoh4b12xCZV6NQ3vqikQ8s/VRyLykLhoZIYQQMrWxLIuS1mZkaapwSFOJ47Ua9FiGL8vpjNviZuPF+VcNO//zlbhhrioYfz9zAv+99nosCQ4fk/sP55CmCg99vxOtBr1tHGI3mK1W7Ksqw5aCs8iqqRw0YEjM5+OnM2ZiQ2wCkgKUNMclhBBCCCGEOI2CZgghhBBCCJnCloVG4Nsbb8fD33+D7DrtsP3re7qwOTcHm3NzEOXtizWRsVgTORNqd88JGC2ZDnJ/PI8Xb3gdHc2dDu3rHv0J7t50K3h8notGRgghhExNDT3dOKypQpamEoc11ajv6RqX+/zv/BmEe/ngrvjkYfuyLIt/rbwOAt74/3+dZVlszs3GpuNZYNiLYTGfF+Xh8QPfoUnfM+i5M339cUtMAtZExo572ShCCCGEEELI9ERBM4QQQgghhExxgTIPbF29Hm/lHMG7p4457MAN8fCC0WpBXXf/xZfi1ma8diILr53IQrpSjbWRMbg2PApeYsnEDZ5MKd9s3ot3Hvw3rBarvU0g5OPXf7sHK+9a4sKREUIIIVOLyWrFq8cP4pCmCoUtTZd9HaXUHRHevgjx8ITK3QMiHh8My178Agu297WVZdFm0KPVoIf3MPM9DoczIQEz3WYTnjiwG9+UFfU79k158YDnSPh8rI6IwYaYBCQGKCirDCGEEEIIIWRUKGiGEEIIIYSQaYDP5eKx9PmYqwrGw/u+QWNPNwAgyscPf1++Gsd1Gmwvyceu8mJ0mkz9zj+h0+CEToPnDu3DkuBwrI2MwdKQGRDz6VcGAljMFvz9N+9jx/9959DuFeCJ57c9jrjMaBeNjBBCCJmahDwedleUoqaz/bKvweNwIBMK0WbUw9BiRlVHG0R8PiR8AcQ8PsR825eEz4eIJ4CbwPZ+f1U5JPwLxwUQ8fh93vP7nCsAdxwDUirbW/Gr3TtQ5GTQUKxvAG6OTcCayBi4CymrDCGEEEIIIWRs0BNwQgghhBBCppFMVTB23Xg7frN/Fw7WVELb2QEel4tMVTAyVcF4cf7V+KG6HNct1M4AACAASURBVF8W5+OH6nKYGcbhfDPDYE9lKfZUlsJdKMI14ZFYGxmLjMCgcV00IZNXR0sn/rD+DZzed86hfcbsULy4/QkEBPu7aGSEEELI1JYsV44qaMbKsihpbR7DEfUn5PHsQTQSvsAeVCPi92nrPf6HBVc7nZ1mf1UZHt73LTpNxiH7ufEFWBNpyyoT7y+nrDKEEEIIIYSQMUdBM4QQQgghhEwzfhIp3rt2Hf6Zm41/5uY4HBPz+bgmPArXhEehzaDHt+XF2F5SgBM6Tb/rdJqM+LQwD58W5kEhlWFNRAzWRMYgxtefFiyuEFUFGmxcswm1pXUO7QtuyMDj/30AEqnYRSMjhBBCpr6V4VHYX12OZHkg3PhCVHW0Ib+5wdXDcmCyWmGyWtExTHALALyyaDkAwMIwaOrpRqO+Gw093Wjs6fO9uwtnG+uh6+506v4SPh/rZ8YjIUAxqs9BCCGEEEIIIYOhoBlCCCGEEEKmIS6Hg1/NTke6MggWhgGfy+3Xx0sswc2xibg5NhGaznZ8VVqI7cX5KB5gx3Jddxf+kZuNf+RmI9rHD2siY7AmIgYqd4+J+DjEBY5/ewp/3PAmejr1Du23P/cz3PLsOnAH+G+KEEIIIc67OmQGTt/5oMM8TdPZjm/LirGzrBBnG+uHPN9dKITa3RNGiwUGqwUGi+1LbzGDHe/BX0LE42NXeTFeOfYjtJ0dY3b/ZoMeG77+BH9dthpLQsLH6KqEEEIIIYQQchEFzRBCCCGEEDKNJcmVTvVTu3vi/qQ5uG92OgqaG7G9JB87SgpR39PVr29RSxNePZ6FV49nIV2pxnWRsbh2RhQ8RZR1ZDpgWRafv/41/vnkh2DZi0teYjcRnnj/QSxYl+HC0RFCCCHTx0CljNTunrhndhrumZ2GqvY27Cwrws6yQhQ0N/bry7LAJ6tvgodIdEk7CxNjhcFigdFigd5igcFqtgfVGKy2NqP9vRl6s2PgjdFqC75xPMfc55wLATq2vmI+H6tmRCNdqca7p45hS35uvzKgl0PM58NX4oZ3Tx2D2t0DkT5+o74mIYQQQgghhPTF6fsQdDipqalsTk7O8B0JIZfFYDHDaLXCXSgC18mSB1aGAe+SXb7dZhOkAuF4DJEQMklwOJyTLMumunocVzKaF5ErgZVhcFynwfaSfOwqL0anyTRoXyGXhyUh4VgbGYMlweEQ8yk+fyoyGUx4897N2PvBjw7t/kG+eHHHk4iYHeaikREyOJoXuR7NiwgZf6WtzfimrAg7y4pQ0icr4NMZi3DP7DQXjswWpGO0Wh3mfzUdbXgj5wi+LM4fcdYZN74AM339kOCvQJI8EAn+CoR4ejn9rGwiWBkGp+t1SFWqXD0UQhzQvMj1aF5ECCGETB7Ozo0oaIaQSaTLZMK67VtQ3NIEmVAED6EI7iLbd48L3+2vxWgz6tFlMmFZaIS97dvyIvzv/Bls/el6hHh6ufojEULGCT0EcT2aF5ErjcFixv6qcnxZUoAD1eVD7hx2F4pwbXgU1kbGYE5g0KRa4CCDa9a14oV1r6HgWIlDe2xmNJ7/4rfwltPckkxONC9yPZoXETKxiloasbPUFkCjt5hx8Oa7IRwga81ksPfoGfxVdx6nG3Sjuo67UIQ4vwDE+8sxy0+OeH85Qj29XTLPbDca8ODenYjx9cPTcxdP+P0JGQrNi1yP5kWEEELI5EFBM4RMUTUd7Viz7UO0GPSjuo6/mxSfrF6PcC+fMRoZIWQyoYcgrkfzInIlazPo8U15MXaUFOCETjNkX6XUHasjZmJtVCxifP0naIRkpIpPluG5ta+iSdvi0L7iziX49d/uhlAkcNHICBkezYtcj+ZFhLgGy7I439wAf4kUcqnM1cPpJ+9wIX789AgeeOvnyNFpsen4QWTXacfs+u5CIWJ9bYE08f4KzPKXI2ycA2lKW5tx93fbUdHeioeSM7A8LALx/opxux8hI0XzItejeREhhBAyeVDQDCFTWLZOg5u//nTUtZ9/NnMWXl28coxGRQiZTOghiOvRvIgQG01nO3aUFGJ7Sb5DqYCBRPv4YW1kDNZExiBQ5jFBIyTDOfDJYfz553+FUX+x/BaXy8E9r92O6x9ZBQ5lCiKTHM2LXI/mRYSQS7U3deDepMex7PZF+PnLNwOwBfkcqK7AphNZKGxudOgf7umNe5PSkddYj7ymBuQ3N8BgsYz4vjKBELG9GWni/eT2QJpLS5tfjv1VZXh43zcOJUu9RGIcv+1eiKg0KZkkaF7kejQvIoQQQiYPZ+dGNJsnZJLQdnYgp06LnDotsuu0sIwgYEbA5cLCMA41ohcFheKlBVeP/UAJIYQQQvpQu3vigeQ5uD8pHfnNjdheko+vSgpR39PVr29RSxM2Hc/CpuNZmKNU496kdCwJDnfBqAkAMAyDD577FB+9/IVDu9TTDc98/CjSVsx20cgIIYQQMpUxDINNt7+DJm0LZF5SezuHw8GSkHAsCg7D16WFeD37EKo72gEAVR1tuCY8Cj+bGQ8AsDAMytqaca6xHnmN9TjXWI/85gbohwmk6TKbcEKncciGKBUIEOsbgFn+cnswTbiXj1OBNCzLoq6rE2+cPIrPCs/h0u2nbUYDDmoqsSw0wsk/HUIIIYQQQshkQ0EzhLiAlWFQ3NqMHJ0G2b2BMrVdnZd9vUsz0sxTBeMfK9ZAxKO/4oQQQggZWzUd7eByOBDyeBDyeBDx+BDyeOByOIjzC0CcXwCemrMQx2prsL2kAN9VFDvsxr3guE6DddFxLvgEBAD0XXpsuuNdHP7yhEO7OkqJF3c8iaBolYtGRgghhJCp7pNNO5D93RkAcAiauYDL4WBNZAyuCY/CJ4Xn8PbJo2js6cZRbQ2Wh9mCT/hcLqJ9/BHt448bomcBsD1PK2trwbneIJq8pnqcb6ofNpCm22xGdu8mtQvc+ALE+gVgll9vII2/HDN6A2nMVis2HT+IEzoNSlub0TPE9ecGBlEQOCGEEEIIIVMcragTMgEMFjPONNThZJ0W2TotTtbXotNkHJd7zVGq8a+V10HMF4zL9QkhhBByZTtVX4uH933Tr13A5doDaPoG1KjdPaG3mNFuNKLNoLfvzuVzuVgRGjmxgycAgLrKBjy39lWUn61yaE9Znohntj4Cd2+Zi0ZGCCGEkKnuXFYB3nt2q/29dICgmQuEPB5ui5uNdVGx+O+508ht0NmDZgbC43IR5eOHKB8/e/C1lWFQ3taCc0319qw055sa0GMxDznOHovZnvH5Agmfj1hfW2mnW2ITcaxWM2TADAAcra3B3d99iXeX/RRSgXDIvoQQQgghhJDJiYJmCBkHLfoe5NTVIqfOlkkmr7G+XzaYofiIJUiWB+L7qrJ+xxRSGeq6+5c7uMBTJMaPNRVYGBQKN/plnRBCCCFjbE1kDOq6O/HKsYMO7WaGgZkxAUOvT0AqEEDuJsNMX394isXjOFIykHNZBXhh3Wtob3LMcnj9w6twz2u3gcfnuWhkhBBCCJnqWhva8fKGN8AwF4sYuXsPHjRzgZtAiAeS58BstY74njwuF5E+foj08cP1URcDaSraW21lnXqDac431aPbPPREVW+x4GR9Lc411iMjMAjnmxr69fEUiXFteCSCPbwgl8ogd5NBLpWBx+GMeOyEEEIIIYSQyYGCZggZJZZlUd3Rjuw6DXJ0tlSvZW0tI7pGqIcXUpUqpCnUSFWqEO7pjaKWJoegGS+RGA+nzsX7eaeHvNaeylLsqSyFmM/Hs5lLcEts4mV9LkIIIYSQwdyTmIbK9jZsLTjr9DkcADfHJuKJOQvgKRJf1qIIGZ1v/7UP7zzwT1jMF//s+QIeHv7bPVj586UuHBkhhBBCpjqGYbDp9nfQXNvq0D5UpplLCXhjE7zL43IR4e2LCG9frI2KtY2PZS8G0jTW9QbSNKDL3L+MaLSvHzxEYoR5eqG8/eLnWRgUir8vX02b1AghhBBCCJlmKGiGkBGyMAzymxqQXae1ZZLRadGk73H6fB6Hg1l+cqQoVEhTqpCiUCHArf8DhGydxt7/trgkPJI6F7srSlHZ3jbsPWb6+uPpjEVYGBTq9LgIIYQQQoZitlpxpkGHLE0VDmmqkNugc/rcmb7++OPCZUiWB9rbxmpRhAzParHi74+9j+3v7HJo9/L3wHNf/Baz5se4aGSEEEIImS62/vFLnNyT269d5uXmgtH0x+VwMMPLBzO8fLAm0jb3YVgWle2ttrJOfTLSxPsrkKkKxptXrcKd336BFoMeEV4+uD9pDpVDJ4QQQgghZBqioBlyxWJYFuca6xDrGzDkok2XyYQzDTpk6zTIqdPidL1u2LrIfUkFAiTLA5GqUCFNqUZigMKpGscn6rRYFBSKZzOXIMLbFwaLBW+dPDLkOXI3GR5Ln4d1UXHgcblOj5EQQggh5FIsy6KsrQWHeoNkjtXWDLgTdyhufAEeTcvEXfEp4NPcxCU6W7vwh5vewKm9jlmBwhND8OL2JyEP8XfRyAghhBAyXZz5IQ8fPP/JgMdkI8g0M9G4HA7CvXwQfkkgjb73uV9CgAK/TEjBX3KOoLStBTd99QkC3KRYHhqBFWGRyAgMokBwQgghhBBCpgEKmiFTUofRiA6TASIeH0IeDyIeD0IeH9xh6ge3Gw3IqqnE/upy/FhdgWaDHh+vXo+MwCB7n4buLmTXaZGt0yKnTov85gYwLDvEVR0FuEmRplAhValGmkKFmb7+l7VIdE9iKuL9Ffb3W/JzUdvVOWBfN74A9yal45cJKZQilhBCCCGXrUnfjcOaamRpKnFYUw1d98BzD2csC43A8/OWQuXuMYYjJCNRXajFs6v/hNrSOof2+dfPwRPvPQCJTOKikRFCCCFkumitb8Mrt7wFhhn42ZnUc3JkmnEWl8Nx2Ox2c2wiZnj54ld7dgAAGnq68WF+Lj7Mz4WnSIyrQsKxPCwSi9ShkAgoCw0hhBBCCCFTEQXNkCnJyjK445svUNbW4tAu4HIh7A2gEXJ5EPK4AAcwWqzoNpvRPcDu6G/KiuAhFOFfZ3OQU6dFdUf7iMYS6e3bm0VGhTSFCmp3T3CGCd5xRt+AmW6zCf936li/PlwOB+tnxuPRtHkDlngihBBCCBmKwWLGCZ0WhzSVyNJUoaC50anzhDwe0hVqyIRCfFdR4nAsUOaO5+ddheVhEeMxZOKkE7tO4+UNb6CnQ+/QftvGG3HrxhvApcw/hBBCCBklq9WKP97yFlrqBi4lLpaKwBdM3sfPDMvi0X3fggWLZHkgkuWBiPH1d8ge4yWWYEV4JB5NzcQbOY4ZoNuNBmwrzse24nyI+XwsCgrDXfHJDpvzCCGEEEIIIZPf5P2thZAheIsleH/VOqz49D10my+WSjIzDMwM49A2nGO1NVgTEYNtxfnD9hVyeYj3lyNVqUKaQo0URSC8xeO/Q/e/Z0+h2eC44LE0OBxPZSxElI/fuN+fEEIIIdMDw7I431SPLE0VDmuqkF2nhclqdercWN8ALFCHYL46BGlKFcR8Af6SfdgeNMPjcPCLhBQ8nJrpVClKMj5YlsUXb+zEP5/4n8OOb5FEiMffexCLbpzrwtERQgghZDr56KUvcGZ/3qDHJ3NpJsC2Ge2XiSlY/cWH+Kq0EAAg4vGR4C9HklxpD6QJkMrwUMpc5Dc3YvclAeMXiHh8pClUSJIrJ/IjEEIIIYQQQsYABc2QSafbbHJqoUXt7onNK9filq8/u6z78DlceIrEEPJ4aOjugpDLg4lxXDTyEIqQqlD1BsmoEO+vgJg/sX9t2o0G/CM32/4+1jcAz8xdhHnqkAkdByGEEEKmJk1nOw5pqpClqcIRbTVaLwnEHUygzB3z1SGYpwrBPHUw/CT9Fz3ONdrK/iTJlXh5wTLE+gWM6djJyJiMZrx132bsee+AQ7u/2hcvbH8CkcnhrhkYIYQQQqadU9+fxYcvfT5kH5n35A6aAWyZnm+OTcRH+bkAAKPVYivbXqe191HJ3JEkD8TsAAXymxpQ09k/S/VPZkTjtlmzIeLR43ZCCCGEjL2zDXXQdnXAQyiCh0gED6EYHiIR3IUi8AfIJtyk7+73LK+8rQVSgRByqWyihk3IlEGzeDJpsCyLbcX52FdVhr8uXz1oP11XJ36oLsfXpUU4XV972fezsAzU7h7YOG8pUhSB+E/eKei6OpGmVNnLLUV6+4E7BqWWLgfLsuBwOPjHmWx0moxQSt3x2/T5uC4q1mVjIoQQQsjk12E04mhtNQ5pqnBIU4WK9lanzpMJhMhQBfVmkwlFuKf3kCUnWZZFdUc7Xl64DBtiEmh+4mItda14Yd2fkX+02KE9dm4Unt/2OLzlXi4aGSGEEEKmm2ZdK1659W2wLDtkv8mWacZktaLNoEerUY9WgwFtBj3ajAbIhENv3tN2dULbVYSdZUWD9jmqrbZl+eMN2oUQQggh5LIpZe64d88O1HZ19jvmxhf0BtLYgmg8RCIUNDciIzAIgTIPeAhFMDNW/OtsDsQ8AT5bcxOCPek5ESF9UdAMmRRqOtrx9MG9yNJU4ufxKQ7HukwmHKutwe6KYhyorkCjvmfU9/N3k+LJOQtwfVScfYHng1Xr4DYJSgmUtjZja8FZ5Oi0+MfKtfisKA+Pp8/Hz+NTIBEIXD08QgghhEwyZqsVpxt0OKSpRJamCrkNdWCGWcAAbOWUZgcoMV8dggXqUCQGKCDgOf+U38Iw+Hj1evi7Ta7FkCtR6ekKbFyzCY2aZof25XcuxsN/uwdCEc0hCSGEEDJ2Ks5V4+cvb4B/kB98A73xxNUvoq2hf/aV8QqaYVkWHSYj2gwGtPYGwbQbDGg12t7bAmNsQTGtvX3ajPoRlXN3loDLBYfDwfPzltJzO0IIIYSMG383Kf658jrcsH0L9BaLw7Eeixk9FjPqursc2reXFPS7TjuMuGXnZ9jy058hyMNzXMdMyFRCQTPEpawMg/+dP4NXj2ehx2L7xTXaxw8n62pxsKYCuytKUNTShOGXfZwj5PLwi8QUPJCU0W8XiSsDZgwWM3aVl2BrwVmc0Gns7bvLi/HtDbfTYhQhhBBC7FiWRVlbC7I0VTikqcSx2hqnFwDCvXywoLfkUkZgEDxEosseh4DHoznKJPDjZ0fx2p3vwqg32du4XA7ufvU2rHv0J0NmCyKEEEIIuRypyxPtr0/tO+cQMBM3Lxplpyth6DFC6uU27LWMVsvF4BeDHu1Ggy3Qxai/GPRi1Nv7XMgOY3UiSHy8SPh8RHj54lxTPZ6asxA3zowf1byaEEIIIcQZMb7+uD9pDl7PPjyi83gcjsPcqdNkRJfZNMQZhFx5KGiGuExpazOeOLAbpy4psfRs1vcwMdYxv9+y0Aj8fu5ihEyilGMlLU3YUnAW24rz0W409Dt+XKfBHfHJLhgZIYQQQiaTJn03DmuqkaWpxCFNVb+dI4PxEUswTx1iD5RRuXuM80jJRGEYBv974TN8+NLnDu1uHhI8s/VRpF+T5KKREUIIIWS6MVmt9owql9r7wQGH93e9tAEWswXP/vRPkHn2D7D+7Q+7UNDcaA+IubCJbipIlgfiZzNnYdWMaMgEQvxm/y6EeHpTwAwhhBBCxoXBYkZuQx1y6rTI1mlxsr4WnSbjiK4hFQgcNtu5C0X48Cc3IsbXf6yHS8iURkEzZMKZrFa8mX0Ym3NzYGGZ/sfHOGAm0tsXGzOXYEFQ6Jhe93IZLGZ8U1ZsK8FUpx20n4dQBJW7B1iWpR3ChBBCyBVsw1ef4GhtjVN9hTwe0hVqzFeHYH5QCGJ9A+ylKMn0oe824NU73sWhbccd2gMjFHjpq6cQPFPlopERQgghZDrKqdPirm+3wU0ggIdQBA+RCB5CEaRWLqo+O2LvJw30RKmCgYdYihvevRWtJQ3QdnbAQySCVCAEl8NBSWszzjc1jPuYOQA8RWJ4iyXwEovhLer9LpbYX3v1HvcUiXHnt1+gaYCS8H4SN6yLisONM2chwtvX4dgri5aNS8knQgghhFyZWvQ9OFlfixydFtl1WpxrrIOZ6b+OOhJ95yoygRAfrLoBs/zlox3quKjv7sJRbXXvXFMMd5EQHkIxPEQiuPEF/dZKTVYreswmeIkl9ja92Yz85gakKOjZGBkZCpohE8JgseBknRZfFJ/Ht2XFMFgtw580jBAPL6QpVfARS7A5N6dfejFPkRi/ScvELbGzwedyR32/oRyorkCaUgXpECWeiloasTXfllWmY4hI0DSFChtiE3BteBTEfKqFTAghhFzpvMTiIY/H+QVgvioE89UhSFOqaP4wzdVXNWLj2k0oz61yaE++Oh6//+Q3cPeWuWhkhBBCCJmuMlXBeDZzMX6f9T1aDXp7u/uxRigMF5/xVSdK8diB3fb3HKUV73y0GYAtuPvB5Ax4ioae2w5EzOdfEvQihpdYYguIEYnt7V4iCbx7X3sIReA5+Tzwh6pyh4AZHoeDpSEz8LOZs7A4KAwCHm+QcQlo7k0IIYRMQS36HryfdxrrouMQ7OGa6hQsy6K6ox3ZdRrk6LTIqdeitLVl3O4n5vPx3rXrkCRXjts9RsvfTYrdlSXYVV7S7xiPw4G7PXjbFkjTZtBDxOMjWREID6EIEr4AnxXloaKtFa8uWYHro+Jc8CnIVEVBM2RcMCyLguZGHNZUIUtThWPaapgHyCrjLA6AGN8ApCtVSFOqkaZQIUBqWxD4++kTuDpkBnLqtGgzGsDlcHBrbCIeTZsH7z7RheOBZVn89fRxvJlzBEV3P9rvuN5sxs6yImwtONuvDFVfniIx1kXFYUNMPCJ9/MZzyIQQQgiZYhL9lQ6/LMoEQkR4+2J2gALzVMGI9PFDgJsUbkME75LpIe9QAV5Y92e0NXY4tK996Brc+/od4PEHXtAhhBBCCBmtW+Nmo6S1Ge/nnba3eRxrcujTOccxzT8rts1NlgaH45nMxZjh5YONWd9D4+ndG/Qidgh0uZAZ5kIwjHdvn/EOTPkw/wwAIMLbB+tnxmNtZCz83fqXliKEEEKI6xmtFvz5xCEYLBYIeTwIeTyIeHzbay4PIj4foj6v+7a3GfTYWVaE3RUlMFqt0HV34tXFKydk3BaGQUFzA7J1Wlu5pTotGnu6nT6fx+Egzi8AKQoV9GYzPi4853DcX+IGPpcL3SAl3Q0WC35/6HusDIvEyrBIRPv4TboqF1wOB68vuQbVHe39MhNaWRZtRgPajAYA7Q7HTjfo+l3ryQO7IRUIsSIscjyHTKYRCpohY0bX1YksTSUOaapwWFOF5j47T0aKy+EgRR5oC5BRqpAiVw1aH3h15EwsD4vA0o//g0xVMDZmLsHMCajF12Uy4bEfdmF3RQn8JG4OpQ8KmhuxNT8XX5YUDFlfMF2pxs0xCVgZHgUxn/46EkIIIaS/VTOicKy2BrVdHShubUaX2YQzDTqcadDhvT6LFjKBEAFuUvi7SREglSHATdr7dfF1kIcn7Yadonb9ex/evv+fsJgvljLlC3h46P/uxrW/vMqFIyOEEELIpbpMJrxz8ijuS0p3SBc/1bAsi5rOdtvCjk6LEzqN/Ri/2Qi34ouBvPpwGcwBjllkIrx98GzmEiwKCrO3vbjg6vEf+Ai06HugkLrjy+tuwewAxaRbPCKEEEKIIxGPj6tCZuD2nZ/DxFiHP2EI20sK8MScBfCTjH2wbLfZhNP1OmTrNMip0+J0vQ49FufLOrrxBUiWByJVqUKaQoXZcqW92sXGrO/t/YQ8Hu5OSEWIpxee6JPxbyCFzY0obG7EvqoyvL7kGkRNwk38Er4Az89big1ffwrLCEpTcTkcMH2qkZgZBu1Gw3gMkUxTtEpPLluXyYRjtTU4pKlElqYKZW1jlzaMYVncPisJP42YOWzfQJkHDmuq8PcVa7AiNGJCfrkta2vBPd9tt39mP4kbeswm7Cwrwpb8szgzQFTjBV4iMW6IjsNNMQn9aiETQgghhFwqyMML761aByvD4I2cI3j31LEB+3WZTehqN6G8vXXA41eHzMDbV68az6GScWC1WLH58f9h21vfOLR7+rnjuS8eR/yCGBeNjBBCCJmeTFYrnjywG9quDgi5vbuX+TwIufz+u5l7X4v6vK5sb8UnhefQYtCjtK0Z/77meld/JKdZGAaFzY3IrtMiR6dBdp0WDYPsgHY/4ZhlpmPOxUUXT5EYj6Rm4tbYxEFLG00WPhI3vLxwmauHQQghhJARyAgMwl+WXoMHv985qutwwMHpeh2WhUaMekwN3V32DDI5dVrkNzXA2ieIYzj+blKkK1RIUaiQplQhxjcA/EFKTZ6o0wIArg2Pwu8yFkIhdceyT/477D0CZe54In0BVkfGOCQCcCUrw6CgpRE5Otuf3ck6LeoGyZYzGBGPB6PVMYDq5YXL8LOZ8WM5VDLNUdAMcZqFYZDbUIdDvdlkTjfoRhTlN1K/2f8tPEQih90og5mnDhm3cVxqT0UpfrP/W3SZTfY2bVcH5vzv7+g0mQY9LyMwCBtiErAiLJKyyhBCCCFkxHhcLn6bPh8xvv747Q+7oLdYnD73trjZeH7eUvAG+WWbTE6drV14ecObOLkn16E9PCEEL2x/AorQABeNjBBCCJm+hDweHk3LxPVfbkGTvmdU19pXVY7vK8twdeiMMRrd2Oo2m3CmXoec3sWdU/W16DY7sQOaZeFx/GLQDMPnoCvFFzwOB7fGzcYjqZnjXjKdEEIIIVeudqMBPC4X4V4+KL+MDf0eQhFun5WEO+OTLivLDMuyKGtrsWfjy6nToqqjbUTXiPD2QZpCjdTeIJkgd0+nkgK0Gw3gc7j4ePV6ZAQGAQC25p9F5RD3dxcKcX/SHNwVn+zyDNQ9ZhPONNTZ/+xO19c6rLdejksDZp6ftxS3xCaO6prkykMr98QpX5UW4pmDe4YMChlOoNQd66LjkBigRJC7BwQ8HlgADMOAAQuG1KXxuAAAIABJREFUtWWYYVkWDMvCyrIQTaLdKAzL4s2cw3j7ZP/d3YP9uXiLJfasMjO8fMZ7iIQQQgi5AqyaEY0wT2/cs3s7NJ0dw/ZfHBSGjZlLKGBmiqkp0mLjmk3QFDtmMJx3XTqefP9BSGS0EEUIIYSMl2APL/z32uuxfscnI0qjfykRj4/GQTK1uEJDTzdO2hd3NDg/wh3QfhI3KKTuKD1RCmHDxXT33QnemBcVgWczF0/KNP+EEEIImdpMVitO1dfikKYKWZpKnGusdyjF4yyFVIZfJKRgQ0wiZEKh0+cZrRbkNTYgp07Tmw2lFq0GvdPnC7hcxPsrkKZQIVWpQoo8ED4StxGPH7BlVdlx/S3253wGiwVvnzw6YF8+l4tbYhPx65S58L3M+41W44X5Z50WOTotzjc3jDohAwfAYD/932UsxJ3xyaO6PrkyUdAMcYpK5j6qgBkAqO3uxDt9yglwAIj4fEj4Aoh5fIj5/N73fPt7MZ8PMU9w8XXvMQn/YpvokvcXzpXw+RD1ubaAy73s0k3tRgMe2fcNfqiucKr/3MAgbIhNxIqwCIh49NeMEEIIIWMr1i8AX11/Kx78fieOaKuH7HugpgLzPtqMm2LicVNMAgJlHhM0SnK5snefwcs3vYHudsfd7bf8fh1uf/5n4FIAFCGEEDJubJmWdcjSVMFHIkFP5+UFzSTLA/HakpUu20TFsizK21t7U91rkKPTDrkDeSAzvHzsiztpCjWCPTzxf6eO4/13HDeU3fXAatyz6toJKZlOCCGEkOmPZVkUtzYhq6YKB2sqcbS2GuZRBFqEe3rj3qR0rI2MhXCEm/X/cOQH/O98LoxW5zM+uwtFSFUEIlWhRppShQR/+ZhleLn0Oh/l50LX3dmv3/LQCDyZsXBC56Isy6KivdUhA0/FIGXkBxPeO/+M9PbFH44ecDgm5PEQ4+OP3Ma6Qc/ffCYble1tWBEWiUxV8Ih/3uTKRav5xCkJ/gqI+XwYRlAGYDgsbBGQY3nNofA4HHtQzU0xCXh8zoJhz7EwDE7UavDYD7sG/J/OpW6IjsP9SXMQTlllCCGEEDLOfCRu+GDVDXj56AH899ypIfs29HTj7ZPH8O6p47gqZAZujUvEAnXopKlfTGxYlsW2N7/B5sc/AMNc3DMjkgjx2//cj8Xr57lwdIQQQsj0dOHhvm3nchWO1VaPauOYiMfH4+nzcVd88oRm+jNZrchrqu8NktHiZJ0WLZexA/rCAk+KInDAHcknqqvgntNsf+8l98Qvb1tJATOEEEIIGZWG7i4c0lbhkMb21TAG2fp4HA68xRJIBAJsK87H3soyuAuF8BCK4O7wJYS7SASZQAQPodDWJhLBjS+AVCAcNmBGJXNHqkLdG2isQpSP34Q8c+symfDXU47BzIn+CjyTuRjpSvW4399kteJ8ky0DT05dLXJ0GjSPYP7J53Ixy0+ONKUKqQoVUhSB9nJZ+6rKHPquCo/CzxNSsOHrT4e8ZrNBj60FZ/F9VRmen7cUq2ZEj/yDkSsSBc0Qpwh4PNzaW/9tTmAQzIwVeyvKsLeydNS15iaKlWXRbTb3fplQ0daKhp4uNPZ0o6GnG4367ouve79GWrs6W6cFN5keEhBCCCFkYvC5XDw3bylifQPwzMG9MDHWIfszLIu9laXYW1mKYA9P3BKbiBujZ112SlgydkxGM96+75/Y/d4PDu3+al88/+XjiEqZ4aKREUIIIdNPi74Hh7XVvYsyldB2Db9RyhmpChVeXbxiQjZTdRiNOFVf27uTV4MzDXUj3AEtRIpcZV+kSAxQDLsD2sowKNybD0/9xTnnVTcvAI9PO3gJIYQQMjI9ZhOO6zT2IJmilianzhPyePCTuKGhp3vQMj8J/nL8PCEVLxzehyZ9z4jX+i5YoA7FdVExDm0cADN9/Xuz8amRqgh0WVbn/547aQ9SUck88GTGQvxkRvS4Bex0mnrnn71B2mcadCNKjOAuFCJZHoi03gDt2QFKSAQDzz9P6DQAgFjfADw3bwnmBAbhdz/ugck69LNPCZ+PX81Ox92JqZAKnC/BRQgFzRCn/T5zicP7a8OjYbCYcaCmEjtLC7Gvqgz6If5xXB4agVBPL1t2GavFnmVGb7HAaLXAYDHb3184brRYhl38uRwiHh+7K0rwtzMn0G40DH+Ck6o62rDuyy349zXXY7ZcOWbXJYQQQggZyo0zZyHC2xf37t6B+p4uALbdNF9edws+ys/FjtKCfr/EVne045VjB/H6icO4dkYUbo2djRRFIO0SdoHW+jY8v+7PyD9S5NAekxGJ57c9Dh+Ft4tGRgghhEwPBosFOXVaZGkqcUhThfNNDU6dJ+TyIBUK0TrMjlkxn4/H0xfgzllJ45Zdprarw57mPrtOi6LmRrDDn2YXKHNHqkJlX+CJ8vYd8Vg7TUZklnNxvk/b8jsWj+gahBBCCLkyWRkG5xrre7P7VeJUfa3TJZc8hCKsDI+CprMdx2trUDtIwHOUty9eXbwCs+WBAAClVIZbd3424tJOQe6eeCZzMVaERqDHYkZGYB5SFbZA42R5IDxEohFdbywZLGZ0GI0Q8njYnJsNd6EIDyVn4PZZSRDznVv2tzAMztTrcKCmAg8mzxk0cFrX1YmcOq293FJhSyMY1vkZqEIqQ5pSbZt/KlSI9vFzev5Z0daKPy1ajhujZ4HH5aKyvRWfFp4btD+Xw8HPomfhN2nzECCVOT1GQi6goBkyKmK+ACvDIrEyLBI9ZhP2V5VjZ1kRfqiu6Le7hQGLp+cuHvE9rAzjEGRjsFqgt5hh7PPeFmxjtvcxWnuDby609b6/cE6Ujx/WRcdhQ2wCNp/Jxr/PnbysMlFcDgdeIjHkUhn8JG7wk0jhK5HgbGMd4v3lE5qGlxBCCCFXtiS5El+vuxW/2rMDp+t1sLIsQjy9sGnxCjw9dxG2Fefjo/wzKG1tcTjPxFixvaQA20sKMNPHD7fEzcZ1kbGQCWk3xkQoPVOBjWs2obGm2aF92e2L8Mjf74FQTD8HQgghZKQYlkVBcyMO9QbJnNBpnc7CEuXti/qeLnSZTDh1x/14eP832FdVPmj/NIUKry5eiTCvsQ9y/a68GLvKS5BTpxlRNhwOgOgLO6B7v1Tuo98BzbYbUbAv3/4+PDEE4Qkho74uIYQQQqan6o42ZPVm9juirXF6EzuXw3EIzjAz1iEDJuRuUvx5yTVYEBQKg8WM47U1yNZpcaJOM6LNYW58AR5IzsAvElLsAShSgRAfr17v9DXGS1FLI7bmn8W24nykKlSwsgwS/BVYGR4FH7EEWZpKCHk8iHh8CHk8CHk8iC+85vLQYzHjRG9mnyxNlf1nkapQYXFwGBiWRUlr08UgbZ0W2q4Op8fHARDt42efe6YqVVDJPC57c95bV61yyELzZs4RWAcJ2FkUFIrfZSzCTF//y7oXIQAFzZAx5CYQ4icRM/GTiJnoMpnwfWUpdpYV4ceaCpgZBt9XlqGsrQUzRpiilsflQsoVjksaLU+RGI/PWYA7ZiXhnVPHsCU/d9B/dAfCsCxaDHpYGAbeYgkC3KSY5S9HvL98QuoVEkIIIYT0FSCV4ePV67Exax8+KTyHVoMeniIxPEVi3BWfjDtnJeG4ToMPz5/B7oqSfjttClua8GzW9/jTsR+xNjIWt8bNRgz9wjlusr44hlfveBeGHqO9jcPh4O5Nt+KGx35KWX8IIYSQEdB1ddozyRzWVNlT1Q9HIZVhvjoEC9ShSFeq8cSB3ShutQWztpsMyK7TDniemM/Hk3MW4o5ZSQ7PgDpNRvzx6I8QcLlwF4psX6Le70IhPIQiyIRC+zGpQDjoM6TjOg12lBYM+xlEPD4SAxS9WWRsO6A9RWKnPv9I7N9yCIz14vxx+e2Lx/wehBBCCJm62o0GHNFW2wNlqjvanTrPQyhCpioYAW5SfFaU16+qxUBVLjxFYiwPjUC4lzeivP1wWFuNN3OO4Fxj/WVVsLg+KhZPpC+AQuY+4nPHi95sxs6yImwtOItT9bX29qyaSqQqAnFUp8FhbfWo7vFdeTEMFjOeOLAbHSbj8Cf0EvJ4mB2gtGcyTFaM7fyzb8BMYXMjdpT0nxPP9PXH0xmLsDAodMzuS65cFDRDxoVMKMTaqFisjYpFu9GAPRWl2FlWiPfOncJLC6529fD6CZDK8NKCq5HZIcPmlz9FjcwCo1ICU6AEJoUErGjo2swdJiOOaKtxpM//nNyFIsT5BSDeX45ZfrZAmlBPbwqmIYQQQsi4EvH4+NOi5YjzC0CXyeRwjMPhICMwCBmBQWjs6canheewJT+3387lbrMZH+Xn4qP8XKTIA3Fr3GxcEx7ldJpXMjSGYfDRS1/ggxc+dWh385Dg6S2PYM61yS4aGSGEEDJ1dJqMOFZbY98tW97WMvxJAKQCATICgzBfHYoF6hDM8PKxB6o+f2g/sjSV9r737/kaHcb+iwfpSjVeXbwCoZ79s8u4C0WYrw7BA3u/dmo8HAAyoQgefQJp3IUi+Lm5IdY3YMBzvMUS+wJFikKFWf4BEPHGf562938/2l9zeVwsvXn+uN+TEEIIIZOXyWrFyTotDmmqcEhThXNN9U6V7xFwuUiSB2KBOgTz1aFI8Jfjy5J8PPXjHliGKaUUIJFinjoYIj4fZ+p1+Lwob0QlKy+VGKDAc/OWIrm3pNNkUNDciK35ufiypACdAwSymFkGC9ShKGlrQZO+Z1T3Ol1fi/UxCcMGzHiJxPYsMmlKFWb5yydk/gkAr2cfdvgZy91keCx9HtZFxVHFDzJm6Kk3GXeeIjFunDkLN86c1W/hZrK5ZlUGfCDACze+DrPBDABgOYDZVwSTUgJToBtMgRKYA91gDBCDFQz+j/GFhzfHamvsbe5CIWJ9bYE08f4KzPKXI4wCaQghhBAyxjgcDm6flQR2iAcV/m5SPJCcgXtnp+NATQU+PH8GB6or+j1oOFlfi5P1tXjxyA+4MToOt8TORoin1/h+gGlM323Aa3f9H7I+P+bQHjhDjhe/egohMWoXjYwQQgiZ3CwMg9wGXe/O5SqcadANu6gCADwOB4kByt5sMiGYHaCEgNd/c9SW/Fy8l3fKoS23sc7hvYTPx1MZC3FbXNKQz3JWzYhGWVsL/pJ9eNjxsbA9Q7ItiNgCma8Jj8RDyRkQ8fh4/vB+hHh42RcoUhUqh0CfiVJ+tgplZyrt79NWzoa3nOaEhBBCyJWEZVkUtzYhq8Y2HzuuqxkwC8xAorx9MV8divnqYMwJDLJXl2BZFn89fRyvnTg07DWkAgEa9N34coCsIwPhc7mI8wtAQVNjv+wz/m5SPDVnIa6Lih3XNTqWZZ2at/WYTfi6tBD/OnsSJa3Ng/bzFkuwLioWy8IiEOblg/v2fjWq8fVYLGg16CHm82Ho87MM9vDsDdJWI02pQriXj0vWMk/X67C3shSArXzWfUnp+EVCCtzGoToJubJR0AyZUDLh5P9HbM6qFLyy6xlsXL0JPZ16cFhA2GSEsMkInGuz9+PyuHAP9gYv2AOdAULUegM9ciFMAWKAN3AwTafJhOM6DY7rNPY2mUCI2N6MNPF+cszyl0/4/3y6zSZUd7RT+QVCCCFkmnHml3Iel4urQmbgqpAZqOlow5aCs/i04Fy/kgatBj025+Zgc24OFqhDcWtcIq4KmQE+7ehwWkN1IzaufdVhwQkAkq6Kx+8/eRQePpMnBTAhhBDiaizLoqK91Z5J5lhtNTqd3IwV5umN+eoQzFeHYG5gMDxEoiH7H9FWY+OhfUP2yQgMwquLVyDYY+hAEZZlUd3RDqXUHe5C0YC7gwcz08cPG+ctRaYq2N6Wc8d98JNInb7GeNnz/gGH98uoNBMhhBByRegymbCnssSeTaahp9up8/zdpJivCrHPyeRSWb8+VobBc4f24cP8XKeu2W02D3lcwucjWR6INKUa6Uo1ZgcooLdYkPL+X+19hFwefpGYggeSMsZ9zbK2qwMfF5zDb9LmDdrnfFMDtubnYltxPnosg3++OUo1rg6dASvD4ruKEryfd7pf2fWRkAoEeDA5Az9PSIGIx8e6qDgIuDx7kPZAP6+JwrAsajraEeLphT+fyAKXw8FNMQl4JDUTAW6unxeT6YmCZggZQOKiOLy2/zn8buXL6GjuHLAPY2XQXtEMVNgiPi+Em3D5XIT+eh4a5/khv7nBITJzIF1mE07oNDjRJ5BGKhAgzk9uL+8U72cLpBmrNGOtBj2ydVqc0NUgW6dFXlM9/rRoBQXNEEIIIVe4IA8vPDlnIR5JzcTuilJ8eP6MwxzlgixNJbI0lVBK3XFTTDxuiklw6S/TU8H5I0V4/vrX0NbgWM977YPX4Fev3w6+gH41I4QQQpr1PTisrcYhTSUOa6r6lZAcjLdYgnmqYPuijNrd0+l7VrW34f49Xw2ZtWbVjGi8c/VPBtzgZGUYFLU0IbtOgxM6LbJ1GqcXk/qO/7G0ebgpJqFfQPJkCJixWqzYvyXL/l7mJcXcn6a4cESEEEIImShdJiN+s3/XsP3EfD7mKNVYoA7FfHUIon38htzMZbCY8cCer7Gvuvyyx3ahZGW60pYRJc4voF9GwSxNlf318tAIPDN38YRkUD5WW4MH9nyFRcFh/Y5192aV2Zp/tl9mw768RGIkywNhZVmcqa912JA/GjdEx+GJ9AUI6PMs7+WFy8bk2qPR0NONzwrz8HHBWfSYTfjL0msh4vGx+8Y7EOnj5+rhkWmOnswSMoiolBn4y8EX8dTyl9Ckda4utkQmxqOb78WSm2xRoxaGQVlbM8411iOvsQF5TfU431Q/bLq6brO5XyCNG1+AWL8AzPKT95Z3kmOGk4E02s4OZOs0OFFne3hzaWq3BH851kXHOfUZCSGEEDL9iXh8rI6YidURM1Hc0oSP8nOxrfh8v93duu5OvJFzBG+fPIrlYRG4NXY2MlXBE14uYLLb/d4PeOvezTCbLs4BeXweHnr3F1h1j+sfShBCCCGu1KzvwebcbBzSVOF8U4NT5wh5PKQpVL0ll0IR6xdwWRl7O4xG/OK7bWgzGobs901ZEbpNJvw+czGCPDxxtqHOHiBzsr52RNlk+uJxOLgtLgmPpM6Fl1hyWdeYCDl7ctFafzHwd/H6TAjFkz+bNCGEEEJGTyFzR4iHF6o62hzaOQAS/BX2oOVkRSBEvKGXndsMemTXaXFIU4XPi/KGzRxzKQ+hCDG+/sgIDMKKsEjE+PoP+wwqp06LKG9fbJy3FPPVISO63+VgWRb/OXcKfzx6AFaWha/EzX4sr7EeWwrOYkdJ/pCfXSmVwcwwaNL3YP8ogoouNTtAiefnLcVsuXLMrjlaDMsiS1OJrfln8X1VmUMgu6arA/+59noXjo5cSShohpAhhMSo8UbWS3hy+UuoLR082hMA3NwlePPwHxA262IKXT6Xi2gff0T7+OOGaFublWFQ3taCc031vcE09Tjf1DBk2jUA6LGYkVOnRU6d1t4m4fNx+6wk/C5jkb2NZVmUtbXghE7Tm01GA21Xx5DX3pi51CW1CAkhhBAy+UX5+OGF+VfhiTkL8FVJIT7MP9NvQcvKsthVXoJd5SUI9/TGzbGJuCE6blIv/kwEq8WKfz7xP3zx5jcO7R6+7tj4+WNIXERBy4QQQoiQx8O/cnNgZdkh+8X4+mNuYDBS5EpE+/qDZVl0m83oMBnxQ3U5us1mmKwWrI6IgfCSHcYDsTIMfv39TpS2OrdR6kBNBbI+rQSXwxlVKvwLFqhDsDFzyZTYNbv3gwMO75fdvmjgjoQQQgiZllIVKlR1tEHCFyApQInro+NwdUj4iJ/7PLLvWxyoqXC6f6S3L+Yo1UhTqpGmVCFQ5jHSoWNJcDienLNwQsqL681mPPXjHuwoLbC3iXl8bMnPxdaCszjXWO/UdXTdXWM6LrmbDE9lLMSayJhJsxZY391lyypTeBaazoHXML8tK8ItsYkTPDJypeKww/xC2ldqaiqbk5MzjsMhZHJqqWvF71a+jPKzVUP2Cwj2w4bfXY/ldy6GUCRw+vpWhkFFeyvONfYG0vRmpHEmyvbXKXNxdcgMe2aanDotWgx6p+/N53Ixy08Od6EI7kIh3IUiyHq/921zF4ogEwjhLhLBXWBrE/P5tJOcEBfhcDgnWZZNdfU4rmQ0LyJXKpZlcaahDh+eP4OdZUUwWgfOoOcuFOL4bffCTXBl7kLuauvGyxveQM5ux7rcYfHBeGH7E1CGyV00MkKmH5oXuR7Ni8hoXfPZ+yhobnRo43O5EPP44HI4sDAMDFYLmGGeY7604GrcFjfbqXv+4cgP+NfZk5c95sGEe/kgTaFCmlKFJHkgVn3+gUPp7hAPLzybuQRXhYRPiWcqna1dWB94D8xG2zMqVaQS/y18a0qMnZArEc2LXI/mRWQ60nS244imGk8d3AOGZSHgcpGpCsaKsEgsC42Av5tz5SRfP3EI75w6NuAxAZeLeH9F7zxKjVRF4JTajFXT0YZf7f4K+c3OZU6cCEIeD/ckpuG+pHRIx/H53IVYg+Hmh1aGwcHerDL7qsoGDZoXcnm4JjwKG2ITkBEYNObjJVcWZ+dGlGmGECf4KLzx+oEX8MxPXkH+kaJB+zVUN+Gt+zZjyx+/wE1PXoeVv1jqVPAMj8tFhLcvIrx9cV1ULABbSrLythbkNdbbs9LkNzWgy+xYFiHEwwtZmip8WXLe6d1RfVkYBmcadCM+D7A9wJIJHANtPC4JurG/vhBwcyH4pjcgRyYUTUiELyGEEELGBofDQZJciSS5Es9mLsbnReexJT8X5e2tDv0WBYVdsQEzmuJabFyzCTVFtQ7tmWvS8OQHD8HNfeo89CGEEEImwoqwSFS2t0LA5aGjt9SRhWHQxZiGOfOiuxNTnQ6Y+bTw3JgEzHA5HMT5BSBNoUa6UoVUpQp+kouLRqfrdfaAGZlAiIdSMnBnfPKwpQsmk4OfHbUHzAC2LDMUMEMIIYRcWdTunvhZTDxaDHr86fhBmBkGP9ZU4seaSjxzcC9SFSqsCIvEirAIBHl4DXqdBUGh9qAZqUCAZHmgLYuMQoXZAUpIBM5vRp9MDtZU4qHvd6J9mJKfY4HH4WCWv9weXFTX1YnnDu+HVCBEd5/1w5VhkXh67iIED/HzGAsGiwUvHN6PPyy4GrxB5oh1XZ34tCgPnxSchbarc9BrhXv54OaYBFwfFQufPmWtCJkIlGmGkBHQdxvwwro/4+Se3OE7A/BT+WD9k2tx7S+vGpNazwzLorI3I01ebyDN21etQoBUBpZlkddUj23F+fi6tBBN+p5R32+iuPEFA2a3kV2S5cbjkqAbmVAIj97jlPWGXGlo55Dr0byIkItYlsURbTU+zD+DPRWlsLIs/r5iDbbk54JhWET5+CHaxw9RPn6I9PaFTDh9g2ly9uTi5ZveQFdbt0P7zU9fjzteXA8uBQsTMuZoXuR6NC8io9VlMkHE44HH5eKzwjxsOn5wRFl0wzy98cnq9QiQyobsZ2EYfF6Uh6cP7h02a81ARDw+kuRKpCtVSFOokSQPHHJe88/cbLx89EfcGD0Lj89ZgAAnd2FPJg/P/73DBrIPK/4KeYi/C0dECBkKzYtcj+ZFZCwd1lQhTal2qvTkaDAsiz8ePQA/iRTJikDE+8kHDGBhWRYP7/sGX5UWDnqtWN8ArAiLwKoZ0Yjw9nU4ZrBY8OH5M0hXqhHrFzDlN1SzLIu/nTmB145nYeQzS+dI+HwkyQORplAhXalGklzpsEntnZNH4S+R4uks2/x2po8fNs5bikxV8DiN6KLarg7ct+craDracfLOBxyOWRkGP9ZUYEvBWeyvKh907i3k8XBteBQ2xCQgXammdT4y5pydG1HQDCEjZDKa8afb3kbW5xdTyG3a8yx2/mMPsr44PuA5voHeWP/EWlx791UQSUTjPkaz1YpDmipsK8nHnorSQcsmALadTt5iCbrMJnSajLCMQV1uV7iQ9aZvoM1jafMwh1K3kWmKHoK4Hs2LCBlYfXcXvi0vxp2zktBuNOCuXdtwut4xq53a3cMeRBPt7YdIHz/M8PKBmD91dl1fimVZfPn2t/jHY++DYS7+jiUUC/Db/zyAJTfNc+Ho/p+9+46zq67zP/6+k5lk0pPJpBNaOgRpgQALvwVBBGlSBV13bQuKBWUR1wqyyi6InbWj6CpKEAkQlaYigoDSlFASWiAkIb2XmcnM/f2RMBAJMEkmc5Oc5/PxyIO5955753t5PIAP57zOObB9MxdVnrmI9rZ49ap8+a935aePPLRRByBG9K3LgUN2zAFDhuWAIcPS72VnqP7Xn/+Qnz/696xc8/q3wn5R7y612W/Q0IxfdybvHv0HbtRBq+8+9JccMGRY9hwweCO+xdbj+Sdm592jP9L6eK/Dds+Xfndh5RYEvC5zUeWZi2gP5XI5V055MJfee0cefe85HRIS3PLMkznz5klJ1h5vGduvf/YeMDj7DBySfQYNybCevVMqlbKqqSmnXP/zPDJ/w7chKiU5efTuOW+/gzOoR88tvu5KWd7YmI/f/tv89ukn2v2zh/TomXeN2yf7Dd4h4+oHpOY15s+Wcjl3Pf9sPnzb5PzH/gfnjLFv6JAY6Z5ZM/LBW27IgtWrMqpvv9zytncnWRvSTHx8SiY+/nBmvcZVZUb0rcsZY/fMSaN2S99t6DZcbHtEM7AFNTc352tnfS83/fD3SZKJL/wgfQf0zjMPP5uffuHa/OmX92RD/2zVDeqT0z5+Qo45602p7bbl45kkWdbYkN8+PS3XTXs098ya8YqdTf27dc9d7zgznTt1SrlcTkPzmixtXBvQLG9syLLGxixvbMjSl/28bL3nG7O8ad1zDWt/XtHU9h1QW9KP3nJSDttx10ovA7YIO0Eqz1wEbbOiqTFn3jQpd8187jW3qyqVsnPvvhld1y+j+r50ZZqde/fL3Om0AAAgAElEQVTd6s88ampsyjfO/kHrbPii+qF1ufC68zN6/PAKrQyKwVxUeeYitpQp8+bkc3f+Lg/MmfX6G2/AqL79cuDQtRHNHTOeyc8fe/g1tx/cvWf2G7w2kNl/8NCM7FufqgKf7Xrl536Rn33h2tbHH//RB3Pkvx1auQUBr8tcVHnmIjZXQ/OafPZPt2Xi41NS37VbvnHEsdm7A25dVC6X867fXJs/zpi+wdfru3bLXgPXRjTDevTKBXf9foNXBvzQPgfkvP0P3qJrrbQHXpiZs2+9MS+sWL7Ffsf73rBvPn3goW0Kph6ZPzdDe/RMnw6IT8rlcn708AP54t23p3ndcdD9B++QM/fcLz9/7G/5w3PPvOZVZY4dPjpnjH1Dxg8a6qoydAjRDGxh5XI53/v4/+WXX7kxE2d/P30HvnRfwOmPzMjPvnht/nj1nzcYz/Qd2DunnndCjn3/m9K1e22HrXnW8qWZ9MRjuW7ao3li0YLW579++DE5YeTYdvs9zS0trVeu+cfQZtm6n5c3vvT6sqaGLGtYt23TS9tt7lVvfn7caTmwAy5BB5VgJ0jlmYug7VavWZOP3DY5t0x/cqPfe+LI3XLpoW9+zbNqKmnR3CW56JTLMuXO9S9NPGb/EbnwuvPTb3DfCq0MisNcVHnmIraklnI51059JP9zzx+zYCNu2dQWI/rWZb9BO2T/wTtkv8FDM7RHLzvv12lpacm/Dv9Q5jw7L0lS261LJr7w/XTt4Uxg2JqZiyrPXMTmmLtyRd5/8/WvCIYv/Kc35l177LPB9yxrbMjD8+bkwCHDNnqOKZfLWdbYmMUNq7Jo9ao8NHd2Lrjz96//xiRVSTZ0BKeutmtuP+N96dWlY04c7wir1zTlr7Nn5s6Zz+a3T0/Lc0uXbPJnVVdVpVt1TWo7VaemU6dUlUppKZdTTjkt5fX/fGy/f8o7d9+rHb/J5lnV1JRP3nFLJj3x2Ea9b1Tffjljtz1z4sixHRL2wMu1dTbadq9/DhVWKpVy5pfemR59u78ijNl592H59FUfzb989pRc9cVrc/sv7lrvMv2L5izJ9z7+k0y8dFJO+Y/jc/zZR3bITochPXrl7L0n5AN77Z9H5s/Nr6Y9mhuefCw/eviBdo1mOlVVpXeX2vTusulB0MuvevPy6ObRBXPz9KKFmbl8aWavWJYFK1dmSUNDWl52DZ3uNTXpUdMl9S+7DDMAUDm11dX51pHH5/zbb8qvpj3apvd0ruqUzxx0aN65+15b7cGrp/42PZ874ZLMfW7+es8f/i+H5NzvvT+dazu/yjsBgLaqKpVy6phxOXKXEfnqX+/KTx55aL2zV3evH5DTx+yRe2bNyD2zZmxUWNO5qjpdq2tab/W8tc4clfDwHY+1BjNJcvDJEwQzALAFlMvlzF+1MrdMfzKX3nNHljQ2vGKbW6c/2RrNrF6zJg/MmZU/z3wuf575XP42d3Y+sPeEjB80NItXr8qihlVZtHp1FjesXvt49aosXr36pefXbbN43TabevLyq73r0wceul0FM0nyw4cfyKX3/qlN21aXSmkul1PO2ltVDezeIyP61GVc/4HZb/AOGV1Xnx169t6i690SZixdnLNuviGPLtjwbbn+UZdO1Tl2+Oi8fbc3ZJ+BQ8zZbPVcaQbaQblcfs1/4c+YOjNXXfyr/P5nf1ovnnlR7/qeOeXc43L8B49Kt54duwNiTUtL/vT89IwfNDQ9O2/9g8zdM5/Lh2+bnPmrVm7w9dPGjMvF/+/Irf42DrC5nDlUeeYi2Hgt5XIuuuv3uXLKg6+77dfe+Ja8ddRuHbCqTXPndffmknd+M6tXvrQzq1Qq5b3//Y6c9vHj7QyADmQuqjxzER3pkflzc8Gdv8t9L8xMkvTuUpsH3/XBVJVKKZfLmbZofu6ZNSN3z5yRe2c/n0VtjGhKSXavH5gDhw7LAUOGZb9BO2x3B3w2xmXv+VZuvvIPrY8vufVz2efwPSq4IqAtzEWVZy6irf4445l87b4/56lFC7N0A6HMi6pLVTl51O6Zv3pFpi1ckJnLl64XEFellNrq6qxc09QRy36FPl1qs7hhdc4df1DeuPPwjKsfWJF1bEkPzZ2dt/7qZxt8rV9t10wYMiyH7bhLDt1x1/Tv1j2Tpj2aAd17dMhttTrCHTOm5yO3Tc7ihtWvu+3ouvq8fbc35K0jd9usE+uhvbg9E2yFnn9idq66+Nr87qd/SkvzKzvcnnU9csq5x+WEDx2V7r1cJWVDyuVyLvvLnfnfB+99xWsf2Hv/nL//IQ5SUQh2glSeuQg2Tblczlfv+3O+cf/dr7ldKclxI8bkI/semBF9+3XM4tqgXC7nZ1+4Nj++4Or1nu/Ws2s++bNzcsCx+1ZoZVBc5qLKMxfR0crlcn417dH89z1/zPxVK/O709+T4X3qXrFdS7mcqQvn5+6Zz+WeWWsjmiVt2NmfrL3CzR71A3PAkGE5YOjaiKZH52JcRW7VitV52+B/z6rla/9e9R/WLz995lupcoISbPXMRZVnLqKt/veBe3Lb9Kfy4NzZlV7KRuvdpTYnjhybU8aMy8i+/XLGDRNz5l775ahdRlZ6aVtEc0tL9v3xt7K4YXW619TkgCHDcvAOO+eQHXbK8D512+0xqXK5nO889Jd86S93rhdqvZpPH/jPed8bxm+3fz/YNolmYCs288nZ+fnF1+XW//vjhuOZvt1z0kePzYkfOTrde3evwAq3XksbGvLBW2/In55/dr3nP3vQYXnvGxykojjsBKk8cxFsnh/87b584e7bX3e7UpJjR4zJR/Y5ICPr6rf4ul7L6pUN+dK7/zd3XLN+8DN414G56PpPZOfdh1VoZVBs5qLKMxdRKUsbGvK1+/6cPfoPzIltuEJdS7mcxxbMWy+iWfYaZ3a/XKdSKXv0H9R6JZrxg4ame832GdHc9tM7csm/frP18en/eWLee/HbK7gioK3MRZVnLqKt3jzxykxdOP/1N2xH1aWqdKupSfeamvTo3CU9O3dJny616d2lNnW1telb2zXf//v9G4yMS0kOGbZzThs9LkfsPCK11dWtr81duSKNzWu2ydsOtdWNTz6egeuuHlPTqVOll7PFLW9szPm335TfPD2tze/p0qk6Xz/imO02nmLbJJqBbcDsp+fk5/99XW758e1pXtP8itd79Omek845Jiee85b06FOMeKZcLmfh6lWZvmRxnlu6ONOXLMpzS5dk+tJFeXbJ4vy/YTvn9LF75IYnp+aqR/+W6qqqXHboUVv17RtgS7ATpPLMRbD5Jj7+cP7zj7esd7ZKTVVVmjZwP+1SkrcMH52P7HtARtf178BVrjV3xvxc8NZL8+SDz6z3/F6H7Z7PTvyP9OrXs8PXBKxlLqo8cxGV1tjcnM6bcPCiuaUljy6Y23o7p7/Mfj7Lmxrb9N7qqqq8of+gfOagQ7PPwCFt/p3lcjlLGxsyb+WKzF25IvPW/enfrXtOGDl2o7/DlvCJIy/KA7c93Pr4h499LcNGD63gioC2MhdVnrmItjrpuqvywJxZlV5Gm3Su6pTuNTXpVtM5tdXV6Vpdk9rq6tR2qk5tdXW6VFena3V13vuG8Rnbb+P22axqasq8VSvWm41WNjXlfXuOT7Wr3L2u+275W279ye0ZvOvADBk+KEOGD8zg4YNSN6jPJl/x5ZnFi3LmzZPyxKIFG/3eUpKLDj487xy39yb9bmhvbZ2Nql9vA2DLGbzrwJz7/ffn7Z8+Kb/47+ty85V/yJqml+KZ5YtX5Cefn5hffvXGnPiRt+Skjx6TXnXb/gGZlnI5c1Ysz7NLF+fZJYszfemiPLdkcaYvXRvKLGvc8A6qs/eekPP2PzhVpVKG9uid66Y9km8feUIO3XGXDv4GAEB7OG3MHulR0znn/O7XraHMJYe+OUsbGvLtB/+SOSuXt25bTvLrp6bm109NzTG7jsqH9z0wYzZyR8ymevTuqbnwpC9l0Zwl6z1//Nlvzge++q5U1/jfKgCopE0JZpKkU1VV9ug/KHv0H5R/33O/rGlpySPz5+TumTNyz6wZ+esLz2dFU9MG37umpSUPzJmVHuuuNtPU3Jz5q1auH8OsWpG5K5Zn3qqVmbty+bpAZmUamtes91m9OnfJr0955yZ9h/Y27/kFefB3U1ofj5kwUjADAFvA4B49kzlJl06d0tjcnKpSKT06d8myxoY23QqnIzW2NKexoTmLXuc2lyeMGJv065+WcjmLVq9qnYlePge99PPaWWlDx4O+feTxgpk22ueIPXLNZdfn91fdud7ztd26ZNCuAzJk+KDWoGbw8IEZMnxgBu7U/1X3Zf3u2afy0d/9+lWP03Wrrkl9t27p17Vb6rt2T33Xbmv/dOuWfrXdUt9t7XPlctltmtimuNIMbEXmPjcvv/ifSbnph79PU+OaV7zerWfXvPXDR+fkjx27zZ7N3FIu57N/ui0/e/RvbX5PVamU/zrkiLxjtz1bn5u7YnlmLl+WvQcO3hLLhK2eM4cqz1wE7eePM57JWTdfn9Vr1uTyI47NsSPGZPWaNZn4+MP51oP35oUVyzf4vqN3HZmP7HvQRp/FtDFu+fHt+dpZ311vNutU3Skf+uZ7c+xZb9pivxdoO3NR5ZmL2F41NTdnyvy5uXvW2ts53Td7ZlaueSmi6VfbNf91yBH573vuyIxlS17jk17bD48+MW/caXh7LHmz/eJ/rssVn7qq9fGHL39fjj/7zRVcEbAxzEWVZy6irZY2NKRzp6rUVtfklEk/zzePODaDe/TMssaG3Db9qUx+6vHcMWP6Bq/G+3J79B+Y1WvWZPWaNVm1pikNzWt/fr33bQlfOuyoTHzs4Tw4d3bWbOLv//c9x+fTBx7avgvbzs2ftTBn7Xleli5Y1qbtqzpVZcCO9WuvSrPr2qvT7Dh2hzS/oV+unjYldbUvC2Fa45iu6de1W7ptp7cnZfvl9kywDZs7Y36uvmRSfvuD320wnunaozYnfOjonHLuseld36sCK9w85XI5P3r4gXzx7tvT/Dr/DupaXZ3L33RcDt9Kdh7B1sJOkMozF0H7+uvs5/Oe316Xi//fm3LciDGtzzc0r8nExx7Otx78S2av2PD//L95l5H5yL4HZvf6Ae22nubm5vzgEz/LL79y43rP9+rXM5+75j+y56G7t9vvAjaPuajyzEUURVNzc/4+74XW2zkN7N4jX37j0Zm/akUuv//e/OzRhzb6ANVBQ3fMFw95U3bq3SdVFT4bt1wu5727fywzHp+ZJKnpXJ1fzPrednHVYygKc1HlmYvYFMsaG9Kzc5dXPL+kYXVufuaJTH5qau56/tkNHk/5v2NOySHDdn7F82taWtbGNM1NrVFN65/mF39uyqoXHzc1paG5OavWNL3s9Re3bVrv8ao1a9Lw4nPrHreUy7nx5H/JqLr6/PzRv+eb99+dBatXbdTfh361XXPF0Sdlt/oBm3wlwSJpXtOc2c/MzYzHZ+Y3378t90y+f6M/o0vXzjn6fYfn1POOz4Bh9VtglVBZohnYDsyfuSBXX3J9fv3929LU8MrLAdd275Ljzz4qp553XPr0790ha/ryX+7MU4sXZmjPXtmhZ6/s0LN3dujZK0N79E6Pzm0vTJ9ftiQf/8NNuXvWjFfdpr5rt1xx9InZc4CrycA/shOk8sxF0P4emT83SxpW56ChO77itYbmNbnm8Sn51oP3ZtbyDcczR+48Ih8Zf2DG1Q/crHWsWLIiX3z71/PX3z643vM7jxuWiyZ9IoN33bzPB9qXuajyzEWw1oylS/K1+/6cX017JBt7U4WenTtn9/qB2aP/wIxb99ede/ft0JBm6l+fzIcmfLL18SEnT8jnrjmvw34/sPnMRZVnLmJLWbhqZW5aF9DcM2tG6y2cDtlhp/zfsadWdG3lcjlNLS2prqpqnV2WNzbmhw/fn+899Ncsb9rwrX5eTeeqThndr751Jtqj/8CMqqtPl07FvD32ymWrMmPqrMx4fGaee+z51p9nPjE7a5qaN+kzu/XsmuPPfnNO+tix6TugY44vQiWIZmA7Mn/Wwlz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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2644da8ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ((ALA, ARG, ASN, ASP), (CYS, GLU, GLN, GLY), (HIS, ILE, LEU, LYS), (MET, PHE, PRO, SER), (THR, TRP, TYR, VAL)) = plt.subplots(5,4, \n",
    "                                                    squeeze=True, sharex=True, sharey=True, \n",
    "                                                    figsize=(40,  40))\n",
    "\n",
    "for aa,name,ax in zip(aas, aa_codes, (ALA, ARG, ASN, ASP, CYS, GLU, GLN, GLY, HIS, ILE, LEU, LYS, MET, PHE, PRO, SER, THR, TRP, TYR, VAL)):\n",
    "    pca_subs = [get_values(x) for x in mol2alt_sentence(aa, 1)]\n",
    "    plot_2D_vectors(pca_subs, ax=ax, min_max_x=(-1000,1000), min_max_y=(-2000, 2000))\n",
    "    ax.get_xaxis().set_visible(False)\n",
    "    ax.get_yaxis().set_visible(False)\n",
    "    ax.text(0.95, 0.01, u\"%s\" % name,\n",
    "            verticalalignment='bottom', horizontalalignment='right',\n",
    "            transform=ax.transAxes, weight='bold',\n",
    "            fontsize=10)"
   ]
  }
 ],
 "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}