optimal_codes/ipm_codes_n3k4.ipynb

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   "source": [
    "# III. Linear codes for Inner Product Masking\n",
    "\n",
    "### $n=3$ shares, $\\ell=4$ bits"
   ]
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  {
   "cell_type": "markdown",
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    "Parameters:\n",
    "\n",
    "- $Z=(X + L_2Y_2 + L_3Y_3, Y_2, Y_3)=X\\mathbf{G} + Y\\mathbf{H}$ where $X, Y=(Y_2, Y_3)$ and $Z$ are the sensitive variable, a mask and the protected variable, respectively. $\\mathbf{G} = [1, 0, 0]$ and $\\mathbf{H} = [[L_2, 1, 0], [L_3, 0, 1]]$ are two generator matrices of codes $\\mathcal{C}$ and $\\mathcal{D}$, resp.\n",
    "- $L_2, L_3\\in \\mathbb{F}_{2^\\ell}\\backslash\\{0\\}$, thus there are 15*15=225 linear codes for IPM\n",
    "- Each element over $\\mathbb{F}_{2^\\ell}$ can be denoted as $\\alpha^i$ where $i\\in\\{0, 1, \\ldots, 14\\}$, the corresponding irreducible polynomial is $g(\\alpha) = \\alpha^4 + \\alpha +1$\n",
    "- $\\mathbf{H}^\\perp = [1, L_2, L_3]$ is the generator matirx of dual code $\\mathcal{D}^\\perp$"
   ]
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import re\n",
    "import pandas as pd # Pandas for tables\n",
    "from IPython.display import Latex\n",
    "from IPython.display import HTML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
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     "end_time": "2020-02-15T10:43:57.156507Z",
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    "def read_f(file_name):\n",
    "    \"\"\"Reading weight enumerators.\"\"\"\n",
    "    with open(file_name, 'r') as fp:\n",
    "        wd = fp.read().split(\"]\\n\")[:-1] # \"\\n\"\n",
    "        wd = np.array([list(map(int, re.findall(r\"\\d+\", elem))) for elem in wd])\n",
    "        \n",
    "    return wd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Loading all weight enumerators"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-15T10:43:57.174466Z",
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   "source": [
    "wd = read_f(\"weight_distrib_n3k4.txt\") # Weight distribution\n",
    "\n",
    "# print(wd.shape) # 226 entries: 225 for IPM codes and one for BKLC codes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.1 Generating values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-15T10:43:57.185435Z",
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   "source": [
    "alpha_all = np.array(['$\\\\alpha^{%d}$'%i for i in np.arange(15)])\n",
    "d_all = np.zeros(len(wd))\n",
    "B_all = np.zeros(len(wd))\n",
    "L_2 = np.zeros(len(wd), dtype=int)\n",
    "L_3 = np.zeros(len(wd), dtype=int)\n",
    "for i in range(len(wd)):\n",
    "    d_all[i] = wd[i][2]\n",
    "    B_all[i] = wd[i][3]\n",
    "    L_2[i] = int(i/15)\n",
    "    L_3[i] = int(i%15)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.2 Defining styles of dataframe\n",
    "\n",
    "See more setting of dataframe from https://mode.com/example-gallery/python_dataframe_styling/"
   ]
  },
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    "# Set properties for th, td and caption elements in dataframe\n",
    "th_props = [('font-size', '14px'), ('text-align', 'left'), ('font-weight', 'bold'), ('background-color', '#E0E0E0')]\n",
    "td_props = [('font-size', '13px'), ('text-align', 'left'), ('min-width', '80px')]\n",
    "cp_props = [('font-size', '16px'), ('text-align', 'center')]\n",
    "# Set table styles\n",
    "styles = [dict(selector=\"th\", props=th_props), dict(selector=\"td\", props=td_props), dict(selector=\"caption\", props=cp_props)]\n",
    "cm_1 = sns.light_palette(\"red\", as_cmap=True)\n",
    "cm_2 = sns.light_palette(\"purple\", as_cmap=True, reverse=True)"
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       "            background-color:  #8b158b;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow217_col2 {\n",
       "            background-color:  #ff9999;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow217_col3 {\n",
       "            background-color:  #ffd1d1;\n",
       "            color:  #000000;\n",
       "            background-color:  #8b158b;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow218_col2 {\n",
       "            background-color:  #ff9999;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow218_col3 {\n",
       "            background-color:  #ffe5e5;\n",
       "            color:  #000000;\n",
       "            background-color:  #800080;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow219_col2 {\n",
       "            background-color:  #ff4d4d;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow219_col3 {\n",
       "            background-color:  #ff9292;\n",
       "            color:  #000000;\n",
       "            background-color:  #ae54ae;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow220_col2 {\n",
       "            background-color:  #ff4d4d;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow220_col3 {\n",
       "            background-color:  #ff9292;\n",
       "            color:  #000000;\n",
       "            background-color:  #ae54ae;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow221_col2 {\n",
       "            background-color:  #ff9999;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow221_col3 {\n",
       "            background-color:  #ffd1d1;\n",
       "            color:  #000000;\n",
       "            background-color:  #8b158b;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow222_col2 {\n",
       "            background-color:  #ffe5e5;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow222_col3 {\n",
       "            background-color:  #ffe5e5;\n",
       "            color:  #000000;\n",
       "            background-color:  #800080;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow223_col2 {\n",
       "            background-color:  #ffe5e5;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow223_col3 {\n",
       "            background-color:  #ffd1d1;\n",
       "            color:  #000000;\n",
       "            background-color:  #8b158b;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow224_col2 {\n",
       "            background-color:  #ffe5e5;\n",
       "            color:  #000000;\n",
       "        }    #T_12165f74_4fe0_11ea_9a83_144f8ad8692brow224_col3 {\n",
       "            background-color:  #ffbcbc;\n",
       "            color:  #000000;\n",
       "            background-color:  #972997;\n",
       "            color:  #f1f1f1;\n",
       "        }</style><table id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692b\" ><caption>Tab. I All linear codes for IPM with $n=3$ shares over $\\mathbb{F}_{2^4}$.</caption><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >$L_2$</th>        <th class=\"col_heading level0 col1\" >$L_3$</th>        <th class=\"col_heading level0 col2\" >$d_{\\mathcal{D}}^\\perp$</th>        <th class=\"col_heading level0 col3\" >$B_{d_{\\mathcal{D}}^\\perp}$</th>        <th class=\"col_heading level0 col4\" >Weight Enumerators</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow0_col0\" class=\"data row0 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow0_col1\" class=\"data row0 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow0_col2\" class=\"data row0 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow0_col3\" class=\"data row0 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow0_col4\" class=\"data row0 col4\" >[0, 1, 3, 4, 6, 6, 9, 4, 12, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow1_col0\" class=\"data row1 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow1_col1\" class=\"data row1 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow1_col2\" class=\"data row1 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow1_col3\" class=\"data row1 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow1_col4\" class=\"data row1 col4\" >[0, 1, 3, 3, 4, 1, 5, 1, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow2_col0\" class=\"data row2 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow2_col1\" class=\"data row2 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow2_col2\" class=\"data row2 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow2_col3\" class=\"data row2 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow2_col4\" class=\"data row2 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow3_col0\" class=\"data row3 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow3_col1\" class=\"data row3 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow3_col2\" class=\"data row3 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow3_col3\" class=\"data row3 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow3_col4\" class=\"data row3 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow4_col0\" class=\"data row4 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow4_col1\" class=\"data row4 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow4_col2\" class=\"data row4 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow4_col3\" class=\"data row4 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow4_col4\" class=\"data row4 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row5\" class=\"row_heading level0 row5\" >5</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow5_col0\" class=\"data row5 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow5_col1\" class=\"data row5 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow5_col2\" class=\"data row5 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow5_col3\" class=\"data row5 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow5_col4\" class=\"data row5 col4\" >[0, 1, 4, 3, 5, 1, 6, 3, 7, 6, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow6_col0\" class=\"data row6 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow6_col1\" class=\"data row6 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow6_col2\" class=\"data row6 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow6_col3\" class=\"data row6 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow6_col4\" class=\"data row6 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow7_col0\" class=\"data row7 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow7_col1\" class=\"data row7 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow7_col2\" class=\"data row7 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow7_col3\" class=\"data row7 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow7_col4\" class=\"data row7 col4\" >[0, 1, 4, 2, 5, 4, 6, 1, 7, 4, 8, 3, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow8_col0\" class=\"data row8 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow8_col1\" class=\"data row8 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow8_col2\" class=\"data row8 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow8_col3\" class=\"data row8 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow8_col4\" class=\"data row8 col4\" >[0, 1, 4, 2, 5, 4, 6, 1, 7, 4, 8, 3, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow9_col0\" class=\"data row9 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow9_col1\" class=\"data row9 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow9_col2\" class=\"data row9 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow9_col3\" class=\"data row9 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow9_col4\" class=\"data row9 col4\" >[0, 1, 4, 1, 5, 5, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow10_col0\" class=\"data row10 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow10_col1\" class=\"data row10 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow10_col2\" class=\"data row10 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow10_col3\" class=\"data row10 col3\" >6</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow10_col4\" class=\"data row10 col4\" >[0, 1, 5, 6, 6, 4, 7, 1, 8, 3, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow11_col0\" class=\"data row11 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow11_col1\" class=\"data row11 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow11_col2\" class=\"data row11 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow11_col3\" class=\"data row11 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow11_col4\" class=\"data row11 col4\" >[0, 1, 4, 1, 5, 5, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow12_col0\" class=\"data row12 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow12_col1\" class=\"data row12 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow12_col2\" class=\"data row12 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow12_col3\" class=\"data row12 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow12_col4\" class=\"data row12 col4\" >[0, 1, 3, 1, 4, 1, 5, 4, 6, 3, 7, 1, 8, 2, 9, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row13\" class=\"row_heading level0 row13\" >13</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow13_col0\" class=\"data row13 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow13_col1\" class=\"data row13 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow13_col2\" class=\"data row13 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow13_col3\" class=\"data row13 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow13_col4\" class=\"data row13 col4\" >[0, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 1, 8, 4, 9, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row14\" class=\"row_heading level0 row14\" >14</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow14_col0\" class=\"data row14 col0\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow14_col1\" class=\"data row14 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow14_col2\" class=\"data row14 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow14_col3\" class=\"data row14 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow14_col4\" class=\"data row14 col4\" >[0, 1, 3, 3, 4, 1, 5, 1, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row15\" class=\"row_heading level0 row15\" >15</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow15_col0\" class=\"data row15 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow15_col1\" class=\"data row15 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow15_col2\" class=\"data row15 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow15_col3\" class=\"data row15 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow15_col4\" class=\"data row15 col4\" >[0, 1, 3, 3, 4, 1, 5, 1, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row16\" class=\"row_heading level0 row16\" >16</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow16_col0\" class=\"data row16 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow16_col1\" class=\"data row16 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow16_col2\" class=\"data row16 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow16_col3\" class=\"data row16 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow16_col4\" class=\"data row16 col4\" >[0, 1, 3, 3, 4, 1, 5, 1, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row17\" class=\"row_heading level0 row17\" >17</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow17_col0\" class=\"data row17 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow17_col1\" class=\"data row17 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow17_col2\" class=\"data row17 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow17_col3\" class=\"data row17 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow17_col4\" class=\"data row17 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row18\" class=\"row_heading level0 row18\" >18</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow18_col0\" class=\"data row18 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow18_col1\" class=\"data row18 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow18_col2\" class=\"data row18 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow18_col3\" class=\"data row18 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow18_col4\" class=\"data row18 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row19\" class=\"row_heading level0 row19\" >19</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow19_col0\" class=\"data row19 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow19_col1\" class=\"data row19 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow19_col2\" class=\"data row19 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow19_col3\" class=\"data row19 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow19_col4\" class=\"data row19 col4\" >[0, 1, 4, 4, 6, 4, 8, 7]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row20\" class=\"row_heading level0 row20\" >20</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow20_col0\" class=\"data row20 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow20_col1\" class=\"data row20 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow20_col2\" class=\"data row20 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow20_col3\" class=\"data row20 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow20_col4\" class=\"data row20 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row21\" class=\"row_heading level0 row21\" >21</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow21_col0\" class=\"data row21 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow21_col1\" class=\"data row21 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow21_col2\" class=\"data row21 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow21_col3\" class=\"data row21 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow21_col4\" class=\"data row21 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row22\" class=\"row_heading level0 row22\" >22</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow22_col0\" class=\"data row22 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow22_col1\" class=\"data row22 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow22_col2\" class=\"data row22 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow22_col3\" class=\"data row22 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow22_col4\" class=\"data row22 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row23\" class=\"row_heading level0 row23\" >23</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow23_col0\" class=\"data row23 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow23_col1\" class=\"data row23 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow23_col2\" class=\"data row23 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow23_col3\" class=\"data row23 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow23_col4\" class=\"data row23 col4\" >[0, 1, 4, 2, 5, 2, 6, 4, 7, 4, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row24\" class=\"row_heading level0 row24\" >24</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow24_col0\" class=\"data row24 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow24_col1\" class=\"data row24 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow24_col2\" class=\"data row24 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow24_col3\" class=\"data row24 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow24_col4\" class=\"data row24 col4\" >[0, 1, 4, 1, 5, 4, 6, 4, 7, 2, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row25\" class=\"row_heading level0 row25\" >25</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow25_col0\" class=\"data row25 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow25_col1\" class=\"data row25 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow25_col2\" class=\"data row25 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow25_col3\" class=\"data row25 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow25_col4\" class=\"data row25 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row26\" class=\"row_heading level0 row26\" >26</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow26_col0\" class=\"data row26 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow26_col1\" class=\"data row26 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow26_col2\" class=\"data row26 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow26_col3\" class=\"data row26 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow26_col4\" class=\"data row26 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row27\" class=\"row_heading level0 row27\" >27</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow27_col0\" class=\"data row27 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow27_col1\" class=\"data row27 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow27_col2\" class=\"data row27 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow27_col3\" class=\"data row27 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow27_col4\" class=\"data row27 col4\" >[0, 1, 4, 2, 5, 3, 6, 4, 7, 2, 8, 1, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row28\" class=\"row_heading level0 row28\" >28</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow28_col0\" class=\"data row28 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow28_col1\" class=\"data row28 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow28_col2\" class=\"data row28 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow28_col3\" class=\"data row28 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow28_col4\" class=\"data row28 col4\" >[0, 1, 3, 1, 4, 2, 5, 3, 6, 1, 7, 3, 8, 3, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row29\" class=\"row_heading level0 row29\" >29</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow29_col0\" class=\"data row29 col0\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow29_col1\" class=\"data row29 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow29_col2\" class=\"data row29 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow29_col3\" class=\"data row29 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow29_col4\" class=\"data row29 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row30\" class=\"row_heading level0 row30\" >30</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow30_col0\" class=\"data row30 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow30_col1\" class=\"data row30 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow30_col2\" class=\"data row30 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow30_col3\" class=\"data row30 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow30_col4\" class=\"data row30 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row31\" class=\"row_heading level0 row31\" >31</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow31_col0\" class=\"data row31 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow31_col1\" class=\"data row31 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow31_col2\" class=\"data row31 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow31_col3\" class=\"data row31 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow31_col4\" class=\"data row31 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row32\" class=\"row_heading level0 row32\" >32</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow32_col0\" class=\"data row32 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow32_col1\" class=\"data row32 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow32_col2\" class=\"data row32 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow32_col3\" class=\"data row32 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow32_col4\" class=\"data row32 col4\" >[0, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 1, 8, 4, 9, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row33\" class=\"row_heading level0 row33\" >33</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow33_col0\" class=\"data row33 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow33_col1\" class=\"data row33 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow33_col2\" class=\"data row33 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow33_col3\" class=\"data row33 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow33_col4\" class=\"data row33 col4\" >[0, 1, 3, 1, 4, 2, 5, 3, 6, 1, 7, 3, 8, 3, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row34\" class=\"row_heading level0 row34\" >34</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow34_col0\" class=\"data row34 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow34_col1\" class=\"data row34 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow34_col2\" class=\"data row34 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow34_col3\" class=\"data row34 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow34_col4\" class=\"data row34 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row35\" class=\"row_heading level0 row35\" >35</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow35_col0\" class=\"data row35 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow35_col1\" class=\"data row35 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow35_col2\" class=\"data row35 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow35_col3\" class=\"data row35 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow35_col4\" class=\"data row35 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row36\" class=\"row_heading level0 row36\" >36</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow36_col0\" class=\"data row36 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow36_col1\" class=\"data row36 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow36_col2\" class=\"data row36 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow36_col3\" class=\"data row36 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow36_col4\" class=\"data row36 col4\" >[0, 1, 4, 1, 5, 4, 6, 2, 7, 4, 8, 4]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row37\" class=\"row_heading level0 row37\" >37</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow37_col0\" class=\"data row37 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow37_col1\" class=\"data row37 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow37_col2\" class=\"data row37 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow37_col3\" class=\"data row37 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow37_col4\" class=\"data row37 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row38\" class=\"row_heading level0 row38\" >38</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow38_col0\" class=\"data row38 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow38_col1\" class=\"data row38 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow38_col2\" class=\"data row38 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow38_col3\" class=\"data row38 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow38_col4\" class=\"data row38 col4\" >[0, 1, 4, 2, 6, 8, 8, 5]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row39\" class=\"row_heading level0 row39\" >39</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow39_col0\" class=\"data row39 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow39_col1\" class=\"data row39 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow39_col2\" class=\"data row39 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow39_col3\" class=\"data row39 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow39_col4\" class=\"data row39 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row40\" class=\"row_heading level0 row40\" >40</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow40_col0\" class=\"data row40 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow40_col1\" class=\"data row40 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow40_col2\" class=\"data row40 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow40_col3\" class=\"data row40 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow40_col4\" class=\"data row40 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row41\" class=\"row_heading level0 row41\" >41</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow41_col0\" class=\"data row41 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow41_col1\" class=\"data row41 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow41_col2\" class=\"data row41 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow41_col3\" class=\"data row41 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow41_col4\" class=\"data row41 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row42\" class=\"row_heading level0 row42\" >42</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow42_col0\" class=\"data row42 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow42_col1\" class=\"data row42 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow42_col2\" class=\"data row42 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow42_col3\" class=\"data row42 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow42_col4\" class=\"data row42 col4\" >[0, 1, 4, 1, 5, 4, 6, 3, 7, 4, 8, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row43\" class=\"row_heading level0 row43\" >43</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow43_col0\" class=\"data row43 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow43_col1\" class=\"data row43 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow43_col2\" class=\"data row43 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow43_col3\" class=\"data row43 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow43_col4\" class=\"data row43 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row44\" class=\"row_heading level0 row44\" >44</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow44_col0\" class=\"data row44 col0\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow44_col1\" class=\"data row44 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow44_col2\" class=\"data row44 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow44_col3\" class=\"data row44 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow44_col4\" class=\"data row44 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row45\" class=\"row_heading level0 row45\" >45</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow45_col0\" class=\"data row45 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow45_col1\" class=\"data row45 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow45_col2\" class=\"data row45 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow45_col3\" class=\"data row45 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow45_col4\" class=\"data row45 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row46\" class=\"row_heading level0 row46\" >46</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow46_col0\" class=\"data row46 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow46_col1\" class=\"data row46 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow46_col2\" class=\"data row46 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow46_col3\" class=\"data row46 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow46_col4\" class=\"data row46 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row47\" class=\"row_heading level0 row47\" >47</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow47_col0\" class=\"data row47 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow47_col1\" class=\"data row47 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow47_col2\" class=\"data row47 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow47_col3\" class=\"data row47 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow47_col4\" class=\"data row47 col4\" >[0, 1, 3, 1, 4, 2, 5, 3, 6, 1, 7, 3, 8, 3, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row48\" class=\"row_heading level0 row48\" >48</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow48_col0\" class=\"data row48 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow48_col1\" class=\"data row48 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow48_col2\" class=\"data row48 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow48_col3\" class=\"data row48 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow48_col4\" class=\"data row48 col4\" >[0, 1, 3, 1, 4, 1, 5, 4, 6, 3, 7, 1, 8, 2, 9, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row49\" class=\"row_heading level0 row49\" >49</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow49_col0\" class=\"data row49 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow49_col1\" class=\"data row49 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow49_col2\" class=\"data row49 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow49_col3\" class=\"data row49 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow49_col4\" class=\"data row49 col4\" >[0, 1, 4, 2, 5, 3, 6, 4, 7, 2, 8, 1, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row50\" class=\"row_heading level0 row50\" >50</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow50_col0\" class=\"data row50 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow50_col1\" class=\"data row50 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow50_col2\" class=\"data row50 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow50_col3\" class=\"data row50 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow50_col4\" class=\"data row50 col4\" >[0, 1, 4, 1, 5, 4, 6, 3, 7, 4, 8, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row51\" class=\"row_heading level0 row51\" >51</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow51_col0\" class=\"data row51 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow51_col1\" class=\"data row51 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow51_col2\" class=\"data row51 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow51_col3\" class=\"data row51 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow51_col4\" class=\"data row51 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row52\" class=\"row_heading level0 row52\" >52</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow52_col0\" class=\"data row52 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow52_col1\" class=\"data row52 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow52_col2\" class=\"data row52 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow52_col3\" class=\"data row52 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow52_col4\" class=\"data row52 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row53\" class=\"row_heading level0 row53\" >53</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow53_col0\" class=\"data row53 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow53_col1\" class=\"data row53 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow53_col2\" class=\"data row53 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow53_col3\" class=\"data row53 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow53_col4\" class=\"data row53 col4\" >[0, 1, 4, 1, 5, 1, 6, 6, 7, 6, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row54\" class=\"row_heading level0 row54\" >54</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow54_col0\" class=\"data row54 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow54_col1\" class=\"data row54 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow54_col2\" class=\"data row54 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow54_col3\" class=\"data row54 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow54_col4\" class=\"data row54 col4\" >[0, 1, 4, 1, 5, 2, 6, 4, 7, 6, 8, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row55\" class=\"row_heading level0 row55\" >55</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow55_col0\" class=\"data row55 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow55_col1\" class=\"data row55 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow55_col2\" class=\"data row55 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow55_col3\" class=\"data row55 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow55_col4\" class=\"data row55 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row56\" class=\"row_heading level0 row56\" >56</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow56_col0\" class=\"data row56 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow56_col1\" class=\"data row56 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow56_col2\" class=\"data row56 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow56_col3\" class=\"data row56 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow56_col4\" class=\"data row56 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row57\" class=\"row_heading level0 row57\" >57</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow57_col0\" class=\"data row57 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow57_col1\" class=\"data row57 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow57_col2\" class=\"data row57 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow57_col3\" class=\"data row57 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow57_col4\" class=\"data row57 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row58\" class=\"row_heading level0 row58\" >58</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow58_col0\" class=\"data row58 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow58_col1\" class=\"data row58 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow58_col2\" class=\"data row58 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow58_col3\" class=\"data row58 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow58_col4\" class=\"data row58 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row59\" class=\"row_heading level0 row59\" >59</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow59_col0\" class=\"data row59 col0\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow59_col1\" class=\"data row59 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow59_col2\" class=\"data row59 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow59_col3\" class=\"data row59 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow59_col4\" class=\"data row59 col4\" >[0, 1, 4, 4, 6, 4, 8, 7]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row60\" class=\"row_heading level0 row60\" >60</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow60_col0\" class=\"data row60 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow60_col1\" class=\"data row60 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow60_col2\" class=\"data row60 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow60_col3\" class=\"data row60 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow60_col4\" class=\"data row60 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row61\" class=\"row_heading level0 row61\" >61</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow61_col0\" class=\"data row61 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow61_col1\" class=\"data row61 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow61_col2\" class=\"data row61 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow61_col3\" class=\"data row61 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow61_col4\" class=\"data row61 col4\" >[0, 1, 4, 4, 6, 4, 8, 7]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row62\" class=\"row_heading level0 row62\" >62</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow62_col0\" class=\"data row62 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow62_col1\" class=\"data row62 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow62_col2\" class=\"data row62 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow62_col3\" class=\"data row62 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow62_col4\" class=\"data row62 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row63\" class=\"row_heading level0 row63\" >63</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow63_col0\" class=\"data row63 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow63_col1\" class=\"data row63 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow63_col2\" class=\"data row63 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow63_col3\" class=\"data row63 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow63_col4\" class=\"data row63 col4\" >[0, 1, 4, 2, 5, 3, 6, 4, 7, 2, 8, 1, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row64\" class=\"row_heading level0 row64\" >64</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow64_col0\" class=\"data row64 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow64_col1\" class=\"data row64 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow64_col2\" class=\"data row64 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow64_col3\" class=\"data row64 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow64_col4\" class=\"data row64 col4\" >[0, 1, 4, 1, 5, 5, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row65\" class=\"row_heading level0 row65\" >65</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow65_col0\" class=\"data row65 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow65_col1\" class=\"data row65 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow65_col2\" class=\"data row65 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow65_col3\" class=\"data row65 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow65_col4\" class=\"data row65 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row66\" class=\"row_heading level0 row66\" >66</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow66_col0\" class=\"data row66 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow66_col1\" class=\"data row66 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow66_col2\" class=\"data row66 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow66_col3\" class=\"data row66 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow66_col4\" class=\"data row66 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row67\" class=\"row_heading level0 row67\" >67</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow67_col0\" class=\"data row67 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow67_col1\" class=\"data row67 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow67_col2\" class=\"data row67 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow67_col3\" class=\"data row67 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow67_col4\" class=\"data row67 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row68\" class=\"row_heading level0 row68\" >68</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow68_col0\" class=\"data row68 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow68_col1\" class=\"data row68 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow68_col2\" class=\"data row68 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow68_col3\" class=\"data row68 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow68_col4\" class=\"data row68 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row69\" class=\"row_heading level0 row69\" >69</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow69_col0\" class=\"data row69 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow69_col1\" class=\"data row69 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow69_col2\" class=\"data row69 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow69_col3\" class=\"data row69 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow69_col4\" class=\"data row69 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row70\" class=\"row_heading level0 row70\" >70</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow70_col0\" class=\"data row70 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow70_col1\" class=\"data row70 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow70_col2\" class=\"data row70 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow70_col3\" class=\"data row70 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow70_col4\" class=\"data row70 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row71\" class=\"row_heading level0 row71\" >71</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow71_col0\" class=\"data row71 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow71_col1\" class=\"data row71 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow71_col2\" class=\"data row71 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow71_col3\" class=\"data row71 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow71_col4\" class=\"data row71 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row72\" class=\"row_heading level0 row72\" >72</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow72_col0\" class=\"data row72 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow72_col1\" class=\"data row72 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow72_col2\" class=\"data row72 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow72_col3\" class=\"data row72 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow72_col4\" class=\"data row72 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row73\" class=\"row_heading level0 row73\" >73</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow73_col0\" class=\"data row73 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow73_col1\" class=\"data row73 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow73_col2\" class=\"data row73 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow73_col3\" class=\"data row73 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow73_col4\" class=\"data row73 col4\" >[0, 1, 4, 1, 5, 4, 6, 2, 7, 4, 8, 4]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row74\" class=\"row_heading level0 row74\" >74</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow74_col0\" class=\"data row74 col0\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow74_col1\" class=\"data row74 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow74_col2\" class=\"data row74 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow74_col3\" class=\"data row74 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow74_col4\" class=\"data row74 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row75\" class=\"row_heading level0 row75\" >75</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow75_col0\" class=\"data row75 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow75_col1\" class=\"data row75 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow75_col2\" class=\"data row75 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow75_col3\" class=\"data row75 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow75_col4\" class=\"data row75 col4\" >[0, 1, 4, 3, 5, 1, 6, 3, 7, 6, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row76\" class=\"row_heading level0 row76\" >76</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow76_col0\" class=\"data row76 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow76_col1\" class=\"data row76 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow76_col2\" class=\"data row76 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow76_col3\" class=\"data row76 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow76_col4\" class=\"data row76 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row77\" class=\"row_heading level0 row77\" >77</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow77_col0\" class=\"data row77 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow77_col1\" class=\"data row77 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow77_col2\" class=\"data row77 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow77_col3\" class=\"data row77 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow77_col4\" class=\"data row77 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row78\" class=\"row_heading level0 row78\" >78</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow78_col0\" class=\"data row78 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow78_col1\" class=\"data row78 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow78_col2\" class=\"data row78 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow78_col3\" class=\"data row78 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow78_col4\" class=\"data row78 col4\" >[0, 1, 4, 1, 5, 4, 6, 3, 7, 4, 8, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row79\" class=\"row_heading level0 row79\" >79</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow79_col0\" class=\"data row79 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow79_col1\" class=\"data row79 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow79_col2\" class=\"data row79 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow79_col3\" class=\"data row79 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow79_col4\" class=\"data row79 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row80\" class=\"row_heading level0 row80\" >80</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow80_col0\" class=\"data row80 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow80_col1\" class=\"data row80 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow80_col2\" class=\"data row80 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow80_col3\" class=\"data row80 col3\" >6</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow80_col4\" class=\"data row80 col4\" >[0, 1, 5, 6, 6, 4, 7, 1, 8, 3, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row81\" class=\"row_heading level0 row81\" >81</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow81_col0\" class=\"data row81 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow81_col1\" class=\"data row81 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow81_col2\" class=\"data row81 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow81_col3\" class=\"data row81 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow81_col4\" class=\"data row81 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row82\" class=\"row_heading level0 row82\" >82</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow82_col0\" class=\"data row82 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow82_col1\" class=\"data row82 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow82_col2\" class=\"data row82 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow82_col3\" class=\"data row82 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow82_col4\" class=\"data row82 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row83\" class=\"row_heading level0 row83\" >83</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow83_col0\" class=\"data row83 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow83_col1\" class=\"data row83 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow83_col2\" class=\"data row83 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow83_col3\" class=\"data row83 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow83_col4\" class=\"data row83 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row84\" class=\"row_heading level0 row84\" >84</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow84_col0\" class=\"data row84 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow84_col1\" class=\"data row84 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow84_col2\" class=\"data row84 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow84_col3\" class=\"data row84 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow84_col4\" class=\"data row84 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row85\" class=\"row_heading level0 row85\" >85</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow85_col0\" class=\"data row85 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow85_col1\" class=\"data row85 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow85_col2\" class=\"data row85 col2\" >6</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow85_col3\" class=\"data row85 col3\" >12</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow85_col4\" class=\"data row85 col4\" >[0, 1, 6, 12, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row86\" class=\"row_heading level0 row86\" >86</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow86_col0\" class=\"data row86 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow86_col1\" class=\"data row86 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow86_col2\" class=\"data row86 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow86_col3\" class=\"data row86 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow86_col4\" class=\"data row86 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row87\" class=\"row_heading level0 row87\" >87</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow87_col0\" class=\"data row87 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow87_col1\" class=\"data row87 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow87_col2\" class=\"data row87 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow87_col3\" class=\"data row87 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow87_col4\" class=\"data row87 col4\" >[0, 1, 4, 1, 5, 1, 6, 6, 7, 6, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row88\" class=\"row_heading level0 row88\" >88</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow88_col0\" class=\"data row88 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow88_col1\" class=\"data row88 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow88_col2\" class=\"data row88 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow88_col3\" class=\"data row88 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow88_col4\" class=\"data row88 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row89\" class=\"row_heading level0 row89\" >89</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow89_col0\" class=\"data row89 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow89_col1\" class=\"data row89 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow89_col2\" class=\"data row89 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow89_col3\" class=\"data row89 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow89_col4\" class=\"data row89 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row90\" class=\"row_heading level0 row90\" >90</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow90_col0\" class=\"data row90 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow90_col1\" class=\"data row90 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow90_col2\" class=\"data row90 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow90_col3\" class=\"data row90 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow90_col4\" class=\"data row90 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row91\" class=\"row_heading level0 row91\" >91</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow91_col0\" class=\"data row91 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow91_col1\" class=\"data row91 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow91_col2\" class=\"data row91 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow91_col3\" class=\"data row91 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow91_col4\" class=\"data row91 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row92\" class=\"row_heading level0 row92\" >92</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow92_col0\" class=\"data row92 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow92_col1\" class=\"data row92 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow92_col2\" class=\"data row92 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow92_col3\" class=\"data row92 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow92_col4\" class=\"data row92 col4\" >[0, 1, 4, 1, 5, 4, 6, 2, 7, 4, 8, 4]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row93\" class=\"row_heading level0 row93\" >93</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow93_col0\" class=\"data row93 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow93_col1\" class=\"data row93 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow93_col2\" class=\"data row93 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow93_col3\" class=\"data row93 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow93_col4\" class=\"data row93 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row94\" class=\"row_heading level0 row94\" >94</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow94_col0\" class=\"data row94 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow94_col1\" class=\"data row94 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow94_col2\" class=\"data row94 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow94_col3\" class=\"data row94 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow94_col4\" class=\"data row94 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row95\" class=\"row_heading level0 row95\" >95</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow95_col0\" class=\"data row95 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow95_col1\" class=\"data row95 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow95_col2\" class=\"data row95 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow95_col3\" class=\"data row95 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow95_col4\" class=\"data row95 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row96\" class=\"row_heading level0 row96\" >96</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow96_col0\" class=\"data row96 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow96_col1\" class=\"data row96 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow96_col2\" class=\"data row96 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow96_col3\" class=\"data row96 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow96_col4\" class=\"data row96 col4\" >[0, 1, 4, 1, 5, 5, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row97\" class=\"row_heading level0 row97\" >97</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow97_col0\" class=\"data row97 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow97_col1\" class=\"data row97 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow97_col2\" class=\"data row97 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow97_col3\" class=\"data row97 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow97_col4\" class=\"data row97 col4\" >[0, 1, 4, 1, 5, 4, 6, 4, 7, 2, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row98\" class=\"row_heading level0 row98\" >98</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow98_col0\" class=\"data row98 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow98_col1\" class=\"data row98 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow98_col2\" class=\"data row98 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow98_col3\" class=\"data row98 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow98_col4\" class=\"data row98 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row99\" class=\"row_heading level0 row99\" >99</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow99_col0\" class=\"data row99 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow99_col1\" class=\"data row99 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow99_col2\" class=\"data row99 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow99_col3\" class=\"data row99 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow99_col4\" class=\"data row99 col4\" >[0, 1, 4, 1, 5, 2, 6, 4, 7, 6, 8, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row100\" class=\"row_heading level0 row100\" >100</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow100_col0\" class=\"data row100 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow100_col1\" class=\"data row100 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow100_col2\" class=\"data row100 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow100_col3\" class=\"data row100 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow100_col4\" class=\"data row100 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row101\" class=\"row_heading level0 row101\" >101</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow101_col0\" class=\"data row101 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow101_col1\" class=\"data row101 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow101_col2\" class=\"data row101 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow101_col3\" class=\"data row101 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow101_col4\" class=\"data row101 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row102\" class=\"row_heading level0 row102\" >102</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow102_col0\" class=\"data row102 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow102_col1\" class=\"data row102 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow102_col2\" class=\"data row102 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow102_col3\" class=\"data row102 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow102_col4\" class=\"data row102 col4\" >[0, 1, 4, 1, 5, 2, 6, 4, 7, 6, 8, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row103\" class=\"row_heading level0 row103\" >103</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow103_col0\" class=\"data row103 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow103_col1\" class=\"data row103 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow103_col2\" class=\"data row103 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow103_col3\" class=\"data row103 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow103_col4\" class=\"data row103 col4\" >[0, 1, 4, 2, 6, 8, 8, 5]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row104\" class=\"row_heading level0 row104\" >104</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow104_col0\" class=\"data row104 col0\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow104_col1\" class=\"data row104 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow104_col2\" class=\"data row104 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow104_col3\" class=\"data row104 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow104_col4\" class=\"data row104 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row105\" class=\"row_heading level0 row105\" >105</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow105_col0\" class=\"data row105 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow105_col1\" class=\"data row105 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow105_col2\" class=\"data row105 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow105_col3\" class=\"data row105 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow105_col4\" class=\"data row105 col4\" >[0, 1, 4, 2, 5, 4, 6, 1, 7, 4, 8, 3, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row106\" class=\"row_heading level0 row106\" >106</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow106_col0\" class=\"data row106 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow106_col1\" class=\"data row106 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow106_col2\" class=\"data row106 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow106_col3\" class=\"data row106 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow106_col4\" class=\"data row106 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row107\" class=\"row_heading level0 row107\" >107</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow107_col0\" class=\"data row107 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow107_col1\" class=\"data row107 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow107_col2\" class=\"data row107 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow107_col3\" class=\"data row107 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow107_col4\" class=\"data row107 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row108\" class=\"row_heading level0 row108\" >108</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow108_col0\" class=\"data row108 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow108_col1\" class=\"data row108 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow108_col2\" class=\"data row108 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow108_col3\" class=\"data row108 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow108_col4\" class=\"data row108 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row109\" class=\"row_heading level0 row109\" >109</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow109_col0\" class=\"data row109 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow109_col1\" class=\"data row109 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow109_col2\" class=\"data row109 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow109_col3\" class=\"data row109 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow109_col4\" class=\"data row109 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row110\" class=\"row_heading level0 row110\" >110</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow110_col0\" class=\"data row110 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow110_col1\" class=\"data row110 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow110_col2\" class=\"data row110 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow110_col3\" class=\"data row110 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow110_col4\" class=\"data row110 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row111\" class=\"row_heading level0 row111\" >111</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow111_col0\" class=\"data row111 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow111_col1\" class=\"data row111 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow111_col2\" class=\"data row111 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow111_col3\" class=\"data row111 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow111_col4\" class=\"data row111 col4\" >[0, 1, 4, 1, 5, 4, 6, 4, 7, 2, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row112\" class=\"row_heading level0 row112\" >112</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow112_col0\" class=\"data row112 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow112_col1\" class=\"data row112 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow112_col2\" class=\"data row112 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow112_col3\" class=\"data row112 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow112_col4\" class=\"data row112 col4\" >[0, 1, 4, 2, 5, 4, 6, 1, 7, 4, 8, 3, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row113\" class=\"row_heading level0 row113\" >113</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow113_col0\" class=\"data row113 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow113_col1\" class=\"data row113 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow113_col2\" class=\"data row113 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow113_col3\" class=\"data row113 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow113_col4\" class=\"data row113 col4\" >[0, 1, 4, 2, 5, 2, 6, 4, 7, 4, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row114\" class=\"row_heading level0 row114\" >114</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow114_col0\" class=\"data row114 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow114_col1\" class=\"data row114 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow114_col2\" class=\"data row114 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow114_col3\" class=\"data row114 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow114_col4\" class=\"data row114 col4\" >[0, 1, 4, 2, 6, 8, 8, 5]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row115\" class=\"row_heading level0 row115\" >115</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow115_col0\" class=\"data row115 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow115_col1\" class=\"data row115 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow115_col2\" class=\"data row115 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow115_col3\" class=\"data row115 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow115_col4\" class=\"data row115 col4\" >[0, 1, 4, 1, 5, 1, 6, 6, 7, 6, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row116\" class=\"row_heading level0 row116\" >116</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow116_col0\" class=\"data row116 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow116_col1\" class=\"data row116 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow116_col2\" class=\"data row116 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow116_col3\" class=\"data row116 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow116_col4\" class=\"data row116 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row117\" class=\"row_heading level0 row117\" >117</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow117_col0\" class=\"data row117 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow117_col1\" class=\"data row117 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow117_col2\" class=\"data row117 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow117_col3\" class=\"data row117 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow117_col4\" class=\"data row117 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row118\" class=\"row_heading level0 row118\" >118</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow118_col0\" class=\"data row118 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow118_col1\" class=\"data row118 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow118_col2\" class=\"data row118 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow118_col3\" class=\"data row118 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow118_col4\" class=\"data row118 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row119\" class=\"row_heading level0 row119\" >119</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow119_col0\" class=\"data row119 col0\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow119_col1\" class=\"data row119 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow119_col2\" class=\"data row119 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow119_col3\" class=\"data row119 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow119_col4\" class=\"data row119 col4\" >[0, 1, 4, 2, 5, 2, 6, 4, 7, 4, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row120\" class=\"row_heading level0 row120\" >120</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow120_col0\" class=\"data row120 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow120_col1\" class=\"data row120 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow120_col2\" class=\"data row120 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow120_col3\" class=\"data row120 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow120_col4\" class=\"data row120 col4\" >[0, 1, 4, 2, 5, 4, 6, 1, 7, 4, 8, 3, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row121\" class=\"row_heading level0 row121\" >121</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow121_col0\" class=\"data row121 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow121_col1\" class=\"data row121 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow121_col2\" class=\"data row121 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow121_col3\" class=\"data row121 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow121_col4\" class=\"data row121 col4\" >[0, 1, 4, 2, 5, 2, 6, 4, 7, 4, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row122\" class=\"row_heading level0 row122\" >122</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow122_col0\" class=\"data row122 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow122_col1\" class=\"data row122 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow122_col2\" class=\"data row122 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow122_col3\" class=\"data row122 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow122_col4\" class=\"data row122 col4\" >[0, 1, 4, 2, 6, 8, 8, 5]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row123\" class=\"row_heading level0 row123\" >123</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow123_col0\" class=\"data row123 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow123_col1\" class=\"data row123 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow123_col2\" class=\"data row123 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow123_col3\" class=\"data row123 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow123_col4\" class=\"data row123 col4\" >[0, 1, 4, 1, 5, 1, 6, 6, 7, 6, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row124\" class=\"row_heading level0 row124\" >124</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow124_col0\" class=\"data row124 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow124_col1\" class=\"data row124 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow124_col2\" class=\"data row124 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow124_col3\" class=\"data row124 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow124_col4\" class=\"data row124 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row125\" class=\"row_heading level0 row125\" >125</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow125_col0\" class=\"data row125 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow125_col1\" class=\"data row125 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow125_col2\" class=\"data row125 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow125_col3\" class=\"data row125 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow125_col4\" class=\"data row125 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row126\" class=\"row_heading level0 row126\" >126</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow126_col0\" class=\"data row126 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow126_col1\" class=\"data row126 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow126_col2\" class=\"data row126 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow126_col3\" class=\"data row126 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow126_col4\" class=\"data row126 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row127\" class=\"row_heading level0 row127\" >127</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow127_col0\" class=\"data row127 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow127_col1\" class=\"data row127 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow127_col2\" class=\"data row127 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow127_col3\" class=\"data row127 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow127_col4\" class=\"data row127 col4\" >[0, 1, 4, 2, 5, 2, 6, 4, 7, 4, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row128\" class=\"row_heading level0 row128\" >128</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow128_col0\" class=\"data row128 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow128_col1\" class=\"data row128 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow128_col2\" class=\"data row128 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow128_col3\" class=\"data row128 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow128_col4\" class=\"data row128 col4\" >[0, 1, 4, 2, 5, 4, 6, 1, 7, 4, 8, 3, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row129\" class=\"row_heading level0 row129\" >129</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow129_col0\" class=\"data row129 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow129_col1\" class=\"data row129 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow129_col2\" class=\"data row129 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow129_col3\" class=\"data row129 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow129_col4\" class=\"data row129 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row130\" class=\"row_heading level0 row130\" >130</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow130_col0\" class=\"data row130 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow130_col1\" class=\"data row130 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow130_col2\" class=\"data row130 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow130_col3\" class=\"data row130 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow130_col4\" class=\"data row130 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row131\" class=\"row_heading level0 row131\" >131</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow131_col0\" class=\"data row131 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow131_col1\" class=\"data row131 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow131_col2\" class=\"data row131 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow131_col3\" class=\"data row131 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow131_col4\" class=\"data row131 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row132\" class=\"row_heading level0 row132\" >132</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow132_col0\" class=\"data row132 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow132_col1\" class=\"data row132 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow132_col2\" class=\"data row132 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow132_col3\" class=\"data row132 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow132_col4\" class=\"data row132 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row133\" class=\"row_heading level0 row133\" >133</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow133_col0\" class=\"data row133 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow133_col1\" class=\"data row133 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow133_col2\" class=\"data row133 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow133_col3\" class=\"data row133 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow133_col4\" class=\"data row133 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row134\" class=\"row_heading level0 row134\" >134</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow134_col0\" class=\"data row134 col0\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow134_col1\" class=\"data row134 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow134_col2\" class=\"data row134 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow134_col3\" class=\"data row134 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow134_col4\" class=\"data row134 col4\" >[0, 1, 4, 1, 5, 4, 6, 4, 7, 2, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row135\" class=\"row_heading level0 row135\" >135</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow135_col0\" class=\"data row135 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow135_col1\" class=\"data row135 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow135_col2\" class=\"data row135 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow135_col3\" class=\"data row135 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow135_col4\" class=\"data row135 col4\" >[0, 1, 4, 1, 5, 5, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row136\" class=\"row_heading level0 row136\" >136</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow136_col0\" class=\"data row136 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow136_col1\" class=\"data row136 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow136_col2\" class=\"data row136 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow136_col3\" class=\"data row136 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow136_col4\" class=\"data row136 col4\" >[0, 1, 4, 1, 5, 4, 6, 4, 7, 2, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row137\" class=\"row_heading level0 row137\" >137</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow137_col0\" class=\"data row137 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow137_col1\" class=\"data row137 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow137_col2\" class=\"data row137 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow137_col3\" class=\"data row137 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow137_col4\" class=\"data row137 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row138\" class=\"row_heading level0 row138\" >138</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow138_col0\" class=\"data row138 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow138_col1\" class=\"data row138 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow138_col2\" class=\"data row138 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow138_col3\" class=\"data row138 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow138_col4\" class=\"data row138 col4\" >[0, 1, 4, 1, 5, 2, 6, 4, 7, 6, 8, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row139\" class=\"row_heading level0 row139\" >139</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow139_col0\" class=\"data row139 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow139_col1\" class=\"data row139 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow139_col2\" class=\"data row139 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow139_col3\" class=\"data row139 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow139_col4\" class=\"data row139 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row140\" class=\"row_heading level0 row140\" >140</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow140_col0\" class=\"data row140 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow140_col1\" class=\"data row140 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow140_col2\" class=\"data row140 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow140_col3\" class=\"data row140 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow140_col4\" class=\"data row140 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row141\" class=\"row_heading level0 row141\" >141</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow141_col0\" class=\"data row141 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow141_col1\" class=\"data row141 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow141_col2\" class=\"data row141 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow141_col3\" class=\"data row141 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow141_col4\" class=\"data row141 col4\" >[0, 1, 4, 1, 5, 2, 6, 4, 7, 6, 8, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row142\" class=\"row_heading level0 row142\" >142</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow142_col0\" class=\"data row142 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow142_col1\" class=\"data row142 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow142_col2\" class=\"data row142 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow142_col3\" class=\"data row142 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow142_col4\" class=\"data row142 col4\" >[0, 1, 4, 2, 6, 8, 8, 5]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row143\" class=\"row_heading level0 row143\" >143</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow143_col0\" class=\"data row143 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow143_col1\" class=\"data row143 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow143_col2\" class=\"data row143 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow143_col3\" class=\"data row143 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow143_col4\" class=\"data row143 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row144\" class=\"row_heading level0 row144\" >144</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow144_col0\" class=\"data row144 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow144_col1\" class=\"data row144 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow144_col2\" class=\"data row144 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow144_col3\" class=\"data row144 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow144_col4\" class=\"data row144 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row145\" class=\"row_heading level0 row145\" >145</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow145_col0\" class=\"data row145 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow145_col1\" class=\"data row145 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow145_col2\" class=\"data row145 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow145_col3\" class=\"data row145 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow145_col4\" class=\"data row145 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row146\" class=\"row_heading level0 row146\" >146</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow146_col0\" class=\"data row146 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow146_col1\" class=\"data row146 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow146_col2\" class=\"data row146 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow146_col3\" class=\"data row146 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow146_col4\" class=\"data row146 col4\" >[0, 1, 4, 1, 5, 4, 6, 2, 7, 4, 8, 4]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row147\" class=\"row_heading level0 row147\" >147</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow147_col0\" class=\"data row147 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow147_col1\" class=\"data row147 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow147_col2\" class=\"data row147 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow147_col3\" class=\"data row147 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow147_col4\" class=\"data row147 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row148\" class=\"row_heading level0 row148\" >148</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow148_col0\" class=\"data row148 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow148_col1\" class=\"data row148 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow148_col2\" class=\"data row148 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow148_col3\" class=\"data row148 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow148_col4\" class=\"data row148 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row149\" class=\"row_heading level0 row149\" >149</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow149_col0\" class=\"data row149 col0\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow149_col1\" class=\"data row149 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow149_col2\" class=\"data row149 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow149_col3\" class=\"data row149 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow149_col4\" class=\"data row149 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row150\" class=\"row_heading level0 row150\" >150</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow150_col0\" class=\"data row150 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow150_col1\" class=\"data row150 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow150_col2\" class=\"data row150 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow150_col3\" class=\"data row150 col3\" >6</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow150_col4\" class=\"data row150 col4\" >[0, 1, 5, 6, 6, 4, 7, 1, 8, 3, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row151\" class=\"row_heading level0 row151\" >151</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow151_col0\" class=\"data row151 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow151_col1\" class=\"data row151 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow151_col2\" class=\"data row151 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow151_col3\" class=\"data row151 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow151_col4\" class=\"data row151 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row152\" class=\"row_heading level0 row152\" >152</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow152_col0\" class=\"data row152 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow152_col1\" class=\"data row152 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow152_col2\" class=\"data row152 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow152_col3\" class=\"data row152 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow152_col4\" class=\"data row152 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row153\" class=\"row_heading level0 row153\" >153</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow153_col0\" class=\"data row153 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow153_col1\" class=\"data row153 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow153_col2\" class=\"data row153 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow153_col3\" class=\"data row153 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow153_col4\" class=\"data row153 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row154\" class=\"row_heading level0 row154\" >154</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow154_col0\" class=\"data row154 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow154_col1\" class=\"data row154 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow154_col2\" class=\"data row154 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow154_col3\" class=\"data row154 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow154_col4\" class=\"data row154 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row155\" class=\"row_heading level0 row155\" >155</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow155_col0\" class=\"data row155 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow155_col1\" class=\"data row155 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow155_col2\" class=\"data row155 col2\" >6</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow155_col3\" class=\"data row155 col3\" >12</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow155_col4\" class=\"data row155 col4\" >[0, 1, 6, 12, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row156\" class=\"row_heading level0 row156\" >156</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow156_col0\" class=\"data row156 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow156_col1\" class=\"data row156 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow156_col2\" class=\"data row156 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow156_col3\" class=\"data row156 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow156_col4\" class=\"data row156 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row157\" class=\"row_heading level0 row157\" >157</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow157_col0\" class=\"data row157 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow157_col1\" class=\"data row157 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow157_col2\" class=\"data row157 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow157_col3\" class=\"data row157 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow157_col4\" class=\"data row157 col4\" >[0, 1, 4, 1, 5, 1, 6, 6, 7, 6, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row158\" class=\"row_heading level0 row158\" >158</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow158_col0\" class=\"data row158 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow158_col1\" class=\"data row158 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow158_col2\" class=\"data row158 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow158_col3\" class=\"data row158 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow158_col4\" class=\"data row158 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row159\" class=\"row_heading level0 row159\" >159</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow159_col0\" class=\"data row159 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow159_col1\" class=\"data row159 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow159_col2\" class=\"data row159 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow159_col3\" class=\"data row159 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow159_col4\" class=\"data row159 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row160\" class=\"row_heading level0 row160\" >160</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow160_col0\" class=\"data row160 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow160_col1\" class=\"data row160 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow160_col2\" class=\"data row160 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow160_col3\" class=\"data row160 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow160_col4\" class=\"data row160 col4\" >[0, 1, 4, 3, 5, 1, 6, 3, 7, 6, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row161\" class=\"row_heading level0 row161\" >161</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow161_col0\" class=\"data row161 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow161_col1\" class=\"data row161 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow161_col2\" class=\"data row161 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow161_col3\" class=\"data row161 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow161_col4\" class=\"data row161 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row162\" class=\"row_heading level0 row162\" >162</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow162_col0\" class=\"data row162 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow162_col1\" class=\"data row162 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow162_col2\" class=\"data row162 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow162_col3\" class=\"data row162 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow162_col4\" class=\"data row162 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row163\" class=\"row_heading level0 row163\" >163</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow163_col0\" class=\"data row163 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow163_col1\" class=\"data row163 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow163_col2\" class=\"data row163 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow163_col3\" class=\"data row163 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow163_col4\" class=\"data row163 col4\" >[0, 1, 4, 1, 5, 4, 6, 3, 7, 4, 8, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row164\" class=\"row_heading level0 row164\" >164</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow164_col0\" class=\"data row164 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow164_col1\" class=\"data row164 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow164_col2\" class=\"data row164 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow164_col3\" class=\"data row164 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow164_col4\" class=\"data row164 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row165\" class=\"row_heading level0 row165\" >165</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow165_col0\" class=\"data row165 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow165_col1\" class=\"data row165 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow165_col2\" class=\"data row165 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow165_col3\" class=\"data row165 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow165_col4\" class=\"data row165 col4\" >[0, 1, 4, 1, 5, 5, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row166\" class=\"row_heading level0 row166\" >166</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow166_col0\" class=\"data row166 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow166_col1\" class=\"data row166 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow166_col2\" class=\"data row166 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow166_col3\" class=\"data row166 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow166_col4\" class=\"data row166 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row167\" class=\"row_heading level0 row167\" >167</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow167_col0\" class=\"data row167 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow167_col1\" class=\"data row167 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow167_col2\" class=\"data row167 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow167_col3\" class=\"data row167 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow167_col4\" class=\"data row167 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row168\" class=\"row_heading level0 row168\" >168</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow168_col0\" class=\"data row168 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow168_col1\" class=\"data row168 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow168_col2\" class=\"data row168 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow168_col3\" class=\"data row168 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow168_col4\" class=\"data row168 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row169\" class=\"row_heading level0 row169\" >169</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow169_col0\" class=\"data row169 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow169_col1\" class=\"data row169 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow169_col2\" class=\"data row169 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow169_col3\" class=\"data row169 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow169_col4\" class=\"data row169 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row170\" class=\"row_heading level0 row170\" >170</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow170_col0\" class=\"data row170 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow170_col1\" class=\"data row170 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow170_col2\" class=\"data row170 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow170_col3\" class=\"data row170 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow170_col4\" class=\"data row170 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row171\" class=\"row_heading level0 row171\" >171</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow171_col0\" class=\"data row171 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow171_col1\" class=\"data row171 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow171_col2\" class=\"data row171 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow171_col3\" class=\"data row171 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow171_col4\" class=\"data row171 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row172\" class=\"row_heading level0 row172\" >172</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow172_col0\" class=\"data row172 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow172_col1\" class=\"data row172 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow172_col2\" class=\"data row172 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow172_col3\" class=\"data row172 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow172_col4\" class=\"data row172 col4\" >[0, 1, 5, 2, 6, 6, 7, 6, 8, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row173\" class=\"row_heading level0 row173\" >173</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow173_col0\" class=\"data row173 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow173_col1\" class=\"data row173 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow173_col2\" class=\"data row173 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow173_col3\" class=\"data row173 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow173_col4\" class=\"data row173 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row174\" class=\"row_heading level0 row174\" >174</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow174_col0\" class=\"data row174 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow174_col1\" class=\"data row174 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow174_col2\" class=\"data row174 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow174_col3\" class=\"data row174 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow174_col4\" class=\"data row174 col4\" >[0, 1, 4, 1, 5, 4, 6, 2, 7, 4, 8, 4]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row175\" class=\"row_heading level0 row175\" >175</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow175_col0\" class=\"data row175 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow175_col1\" class=\"data row175 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow175_col2\" class=\"data row175 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow175_col3\" class=\"data row175 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow175_col4\" class=\"data row175 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row176\" class=\"row_heading level0 row176\" >176</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow176_col0\" class=\"data row176 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow176_col1\" class=\"data row176 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow176_col2\" class=\"data row176 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow176_col3\" class=\"data row176 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow176_col4\" class=\"data row176 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row177\" class=\"row_heading level0 row177\" >177</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow177_col0\" class=\"data row177 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow177_col1\" class=\"data row177 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow177_col2\" class=\"data row177 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow177_col3\" class=\"data row177 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow177_col4\" class=\"data row177 col4\" >[0, 1, 4, 4, 6, 4, 8, 7]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row178\" class=\"row_heading level0 row178\" >178</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow178_col0\" class=\"data row178 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow178_col1\" class=\"data row178 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow178_col2\" class=\"data row178 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow178_col3\" class=\"data row178 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow178_col4\" class=\"data row178 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row179\" class=\"row_heading level0 row179\" >179</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow179_col0\" class=\"data row179 col0\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow179_col1\" class=\"data row179 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow179_col2\" class=\"data row179 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow179_col3\" class=\"data row179 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow179_col4\" class=\"data row179 col4\" >[0, 1, 4, 2, 5, 3, 6, 4, 7, 2, 8, 1, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row180\" class=\"row_heading level0 row180\" >180</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow180_col0\" class=\"data row180 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow180_col1\" class=\"data row180 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow180_col2\" class=\"data row180 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow180_col3\" class=\"data row180 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow180_col4\" class=\"data row180 col4\" >[0, 1, 3, 1, 4, 1, 5, 4, 6, 3, 7, 1, 8, 2, 9, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row181\" class=\"row_heading level0 row181\" >181</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow181_col0\" class=\"data row181 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow181_col1\" class=\"data row181 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow181_col2\" class=\"data row181 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow181_col3\" class=\"data row181 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow181_col4\" class=\"data row181 col4\" >[0, 1, 4, 2, 5, 3, 6, 4, 7, 2, 8, 1, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row182\" class=\"row_heading level0 row182\" >182</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow182_col0\" class=\"data row182 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow182_col1\" class=\"data row182 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow182_col2\" class=\"data row182 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow182_col3\" class=\"data row182 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow182_col4\" class=\"data row182 col4\" >[0, 1, 4, 1, 5, 4, 6, 3, 7, 4, 8, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row183\" class=\"row_heading level0 row183\" >183</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow183_col0\" class=\"data row183 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow183_col1\" class=\"data row183 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow183_col2\" class=\"data row183 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow183_col3\" class=\"data row183 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow183_col4\" class=\"data row183 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row184\" class=\"row_heading level0 row184\" >184</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow184_col0\" class=\"data row184 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow184_col1\" class=\"data row184 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow184_col2\" class=\"data row184 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow184_col3\" class=\"data row184 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow184_col4\" class=\"data row184 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row185\" class=\"row_heading level0 row185\" >185</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow185_col0\" class=\"data row185 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow185_col1\" class=\"data row185 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow185_col2\" class=\"data row185 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow185_col3\" class=\"data row185 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow185_col4\" class=\"data row185 col4\" >[0, 1, 4, 1, 5, 1, 6, 6, 7, 6, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row186\" class=\"row_heading level0 row186\" >186</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow186_col0\" class=\"data row186 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow186_col1\" class=\"data row186 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow186_col2\" class=\"data row186 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow186_col3\" class=\"data row186 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow186_col4\" class=\"data row186 col4\" >[0, 1, 4, 1, 5, 2, 6, 4, 7, 6, 8, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row187\" class=\"row_heading level0 row187\" >187</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow187_col0\" class=\"data row187 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow187_col1\" class=\"data row187 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow187_col2\" class=\"data row187 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow187_col3\" class=\"data row187 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow187_col4\" class=\"data row187 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row188\" class=\"row_heading level0 row188\" >188</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow188_col0\" class=\"data row188 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow188_col1\" class=\"data row188 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow188_col2\" class=\"data row188 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow188_col3\" class=\"data row188 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow188_col4\" class=\"data row188 col4\" >[0, 1, 5, 4, 6, 4, 7, 4, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row189\" class=\"row_heading level0 row189\" >189</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow189_col0\" class=\"data row189 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow189_col1\" class=\"data row189 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow189_col2\" class=\"data row189 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow189_col3\" class=\"data row189 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow189_col4\" class=\"data row189 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row190\" class=\"row_heading level0 row190\" >190</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow190_col0\" class=\"data row190 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow190_col1\" class=\"data row190 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow190_col2\" class=\"data row190 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow190_col3\" class=\"data row190 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow190_col4\" class=\"data row190 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row191\" class=\"row_heading level0 row191\" >191</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow191_col0\" class=\"data row191 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow191_col1\" class=\"data row191 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow191_col2\" class=\"data row191 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow191_col3\" class=\"data row191 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow191_col4\" class=\"data row191 col4\" >[0, 1, 4, 4, 6, 4, 8, 7]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row192\" class=\"row_heading level0 row192\" >192</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow192_col0\" class=\"data row192 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow192_col1\" class=\"data row192 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow192_col2\" class=\"data row192 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow192_col3\" class=\"data row192 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow192_col4\" class=\"data row192 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row193\" class=\"row_heading level0 row193\" >193</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow193_col0\" class=\"data row193 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow193_col1\" class=\"data row193 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow193_col2\" class=\"data row193 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow193_col3\" class=\"data row193 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow193_col4\" class=\"data row193 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row194\" class=\"row_heading level0 row194\" >194</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow194_col0\" class=\"data row194 col0\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow194_col1\" class=\"data row194 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow194_col2\" class=\"data row194 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow194_col3\" class=\"data row194 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow194_col4\" class=\"data row194 col4\" >[0, 1, 3, 1, 4, 2, 5, 3, 6, 1, 7, 3, 8, 3, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row195\" class=\"row_heading level0 row195\" >195</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow195_col0\" class=\"data row195 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow195_col1\" class=\"data row195 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow195_col2\" class=\"data row195 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow195_col3\" class=\"data row195 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow195_col4\" class=\"data row195 col4\" >[0, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 1, 8, 4, 9, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row196\" class=\"row_heading level0 row196\" >196</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow196_col0\" class=\"data row196 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow196_col1\" class=\"data row196 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow196_col2\" class=\"data row196 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow196_col3\" class=\"data row196 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow196_col4\" class=\"data row196 col4\" >[0, 1, 3, 1, 4, 2, 5, 3, 6, 1, 7, 3, 8, 3, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row197\" class=\"row_heading level0 row197\" >197</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow197_col0\" class=\"data row197 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow197_col1\" class=\"data row197 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow197_col2\" class=\"data row197 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow197_col3\" class=\"data row197 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow197_col4\" class=\"data row197 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row198\" class=\"row_heading level0 row198\" >198</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow198_col0\" class=\"data row198 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow198_col1\" class=\"data row198 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow198_col2\" class=\"data row198 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow198_col3\" class=\"data row198 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow198_col4\" class=\"data row198 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row199\" class=\"row_heading level0 row199\" >199</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow199_col0\" class=\"data row199 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow199_col1\" class=\"data row199 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow199_col2\" class=\"data row199 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow199_col3\" class=\"data row199 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow199_col4\" class=\"data row199 col4\" >[0, 1, 4, 1, 5, 4, 6, 2, 7, 4, 8, 4]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row200\" class=\"row_heading level0 row200\" >200</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow200_col0\" class=\"data row200 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow200_col1\" class=\"data row200 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow200_col2\" class=\"data row200 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow200_col3\" class=\"data row200 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow200_col4\" class=\"data row200 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row201\" class=\"row_heading level0 row201\" >201</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow201_col0\" class=\"data row201 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow201_col1\" class=\"data row201 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow201_col2\" class=\"data row201 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow201_col3\" class=\"data row201 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow201_col4\" class=\"data row201 col4\" >[0, 1, 4, 2, 6, 8, 8, 5]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row202\" class=\"row_heading level0 row202\" >202</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow202_col0\" class=\"data row202 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow202_col1\" class=\"data row202 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow202_col2\" class=\"data row202 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow202_col3\" class=\"data row202 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow202_col4\" class=\"data row202 col4\" >[0, 1, 4, 1, 5, 3, 6, 4, 7, 4, 8, 2, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row203\" class=\"row_heading level0 row203\" >203</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow203_col0\" class=\"data row203 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow203_col1\" class=\"data row203 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow203_col2\" class=\"data row203 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow203_col3\" class=\"data row203 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow203_col4\" class=\"data row203 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row204\" class=\"row_heading level0 row204\" >204</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow204_col0\" class=\"data row204 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow204_col1\" class=\"data row204 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow204_col2\" class=\"data row204 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow204_col3\" class=\"data row204 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow204_col4\" class=\"data row204 col4\" >[0, 1, 5, 4, 6, 6, 7, 2, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row205\" class=\"row_heading level0 row205\" >205</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow205_col0\" class=\"data row205 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow205_col1\" class=\"data row205 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow205_col2\" class=\"data row205 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow205_col3\" class=\"data row205 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow205_col4\" class=\"data row205 col4\" >[0, 1, 4, 1, 5, 4, 6, 3, 7, 4, 8, 2, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row206\" class=\"row_heading level0 row206\" >206</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow206_col0\" class=\"data row206 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow206_col1\" class=\"data row206 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow206_col2\" class=\"data row206 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow206_col3\" class=\"data row206 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow206_col4\" class=\"data row206 col4\" >[0, 1, 4, 3, 5, 2, 6, 2, 7, 4, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row207\" class=\"row_heading level0 row207\" >207</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow207_col0\" class=\"data row207 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow207_col1\" class=\"data row207 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow207_col2\" class=\"data row207 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow207_col3\" class=\"data row207 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow207_col4\" class=\"data row207 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row208\" class=\"row_heading level0 row208\" >208</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow208_col0\" class=\"data row208 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow208_col1\" class=\"data row208 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow208_col2\" class=\"data row208 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow208_col3\" class=\"data row208 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow208_col4\" class=\"data row208 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row209\" class=\"row_heading level0 row209\" >209</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow209_col0\" class=\"data row209 col0\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow209_col1\" class=\"data row209 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow209_col2\" class=\"data row209 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow209_col3\" class=\"data row209 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow209_col4\" class=\"data row209 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row210\" class=\"row_heading level0 row210\" >210</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow210_col0\" class=\"data row210 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow210_col1\" class=\"data row210 col1\" >$\\alpha^{0}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow210_col2\" class=\"data row210 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow210_col3\" class=\"data row210 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow210_col4\" class=\"data row210 col4\" >[0, 1, 3, 3, 4, 1, 5, 1, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row211\" class=\"row_heading level0 row211\" >211</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow211_col0\" class=\"data row211 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow211_col1\" class=\"data row211 col1\" >$\\alpha^{1}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow211_col2\" class=\"data row211 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow211_col3\" class=\"data row211 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow211_col4\" class=\"data row211 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row212\" class=\"row_heading level0 row212\" >212</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow212_col0\" class=\"data row212 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow212_col1\" class=\"data row212 col1\" >$\\alpha^{2}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow212_col2\" class=\"data row212 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow212_col3\" class=\"data row212 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow212_col4\" class=\"data row212 col4\" >[0, 1, 3, 1, 4, 3, 5, 1, 6, 2, 7, 3, 8, 2, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row213\" class=\"row_heading level0 row213\" >213</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow213_col0\" class=\"data row213 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow213_col1\" class=\"data row213 col1\" >$\\alpha^{3}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow213_col2\" class=\"data row213 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow213_col3\" class=\"data row213 col3\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow213_col4\" class=\"data row213 col4\" >[0, 1, 4, 4, 6, 4, 8, 7]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row214\" class=\"row_heading level0 row214\" >214</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow214_col0\" class=\"data row214 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow214_col1\" class=\"data row214 col1\" >$\\alpha^{4}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow214_col2\" class=\"data row214 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow214_col3\" class=\"data row214 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow214_col4\" class=\"data row214 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row215\" class=\"row_heading level0 row215\" >215</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow215_col0\" class=\"data row215 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow215_col1\" class=\"data row215 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow215_col2\" class=\"data row215 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow215_col3\" class=\"data row215 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow215_col4\" class=\"data row215 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row216\" class=\"row_heading level0 row216\" >216</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow216_col0\" class=\"data row216 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow216_col1\" class=\"data row216 col1\" >$\\alpha^{6}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow216_col2\" class=\"data row216 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow216_col3\" class=\"data row216 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow216_col4\" class=\"data row216 col4\" >[0, 1, 4, 2, 5, 3, 6, 2, 7, 4, 8, 3, 9, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row217\" class=\"row_heading level0 row217\" >217</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow217_col0\" class=\"data row217 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow217_col1\" class=\"data row217 col1\" >$\\alpha^{7}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow217_col2\" class=\"data row217 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow217_col3\" class=\"data row217 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow217_col4\" class=\"data row217 col4\" >[0, 1, 4, 2, 5, 2, 6, 4, 7, 4, 8, 1, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row218\" class=\"row_heading level0 row218\" >218</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow218_col0\" class=\"data row218 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow218_col1\" class=\"data row218 col1\" >$\\alpha^{8}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow218_col2\" class=\"data row218 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow218_col3\" class=\"data row218 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow218_col4\" class=\"data row218 col4\" >[0, 1, 4, 1, 5, 4, 6, 4, 7, 2, 8, 2, 9, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row219\" class=\"row_heading level0 row219\" >219</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow219_col0\" class=\"data row219 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow219_col1\" class=\"data row219 col1\" >$\\alpha^{9}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow219_col2\" class=\"data row219 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow219_col3\" class=\"data row219 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow219_col4\" class=\"data row219 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row220\" class=\"row_heading level0 row220\" >220</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow220_col0\" class=\"data row220 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow220_col1\" class=\"data row220 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow220_col2\" class=\"data row220 col2\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow220_col3\" class=\"data row220 col3\" >5</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow220_col4\" class=\"data row220 col4\" >[0, 1, 5, 5, 6, 5, 7, 2, 8, 1, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row221\" class=\"row_heading level0 row221\" >221</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow221_col0\" class=\"data row221 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow221_col1\" class=\"data row221 col1\" >$\\alpha^{11}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow221_col2\" class=\"data row221 col2\" >4</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow221_col3\" class=\"data row221 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow221_col4\" class=\"data row221 col4\" >[0, 1, 4, 2, 5, 3, 6, 4, 7, 2, 8, 1, 9, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row222\" class=\"row_heading level0 row222\" >222</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow222_col0\" class=\"data row222 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow222_col1\" class=\"data row222 col1\" >$\\alpha^{12}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow222_col2\" class=\"data row222 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow222_col3\" class=\"data row222 col3\" >1</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow222_col4\" class=\"data row222 col4\" >[0, 1, 3, 1, 4, 2, 5, 3, 6, 1, 7, 3, 8, 3, 9, 1, 10, 1]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row223\" class=\"row_heading level0 row223\" >223</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow223_col0\" class=\"data row223 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow223_col1\" class=\"data row223 col1\" >$\\alpha^{13}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow223_col2\" class=\"data row223 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow223_col3\" class=\"data row223 col3\" >2</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow223_col4\" class=\"data row223 col4\" >[0, 1, 3, 2, 4, 2, 5, 1, 6, 2, 7, 4, 8, 1, 9, 1, 10, 2]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692blevel0_row224\" class=\"row_heading level0 row224\" >224</th>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow224_col0\" class=\"data row224 col0\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow224_col1\" class=\"data row224 col1\" >$\\alpha^{14}$</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow224_col2\" class=\"data row224 col2\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow224_col3\" class=\"data row224 col3\" >3</td>\n",
       "                        <td id=\"T_12165f74_4fe0_11ea_9a83_144f8ad8692brow224_col4\" class=\"data row224 col4\" >[0, 1, 3, 3, 4, 1, 5, 1, 6, 3, 7, 2, 8, 2, 9, 1, 10, 1, 11, 1]</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x25dc0b959b0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame({'$L_2$': alpha_all[L_2[:-1]], '$L_3$': alpha_all[L_3[:-1]], '$d_{\\mathcal{D}}^\\perp$': d_all[:-1], \n",
    "                   '$B_{d_{\\mathcal{D}}^\\perp}$': B_all[:-1], 'Weight Enumerators': wd[:-1]})\n",
    "\n",
    "pd.set_option('display.max_colwidth', 1000)\n",
    "pd.set_option('display.width', 800)\n",
    "(df.style\n",
    "    .background_gradient(cmap=cm_1, subset=['$d_{\\mathcal{D}}^\\perp$','$B_{d_{\\mathcal{D}}^\\perp}$' ])\n",
    "    .background_gradient(cmap=cm_2, subset=['$B_{d_{\\mathcal{D}}^\\perp}$' ])\n",
    "    .set_caption('Tab. I All linear codes for IPM with $n=3$ shares over $\\mathbb{F}_{2^4}$.')\n",
    "    .set_table_styles(styles))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Optimal linear codes for IPM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 Linear codes with $d_{\\mathcal{D}}^\\perp=6$\n",
    "\n",
    "We focus on the the linear codes with greater $d_{\\mathcal{D}}^\\perp$, which are better in the sense of side-channel resistance (from our paper)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-15T10:43:58.389373Z",
     "start_time": "2020-02-15T10:43:58.384385Z"
    }
   },
   "outputs": [],
   "source": [
    "# Finding the indices of d_C=6\n",
    "d_index = []\n",
    "d_index_L2 = []\n",
    "d_index_L3 = []\n",
    "d_C = 6\n",
    "for i in range(len(wd)-1):\n",
    "    if wd[i][2] == d_C:\n",
    "        d_index.append(i)\n",
    "        d_index_L2.append(int(i/15))\n",
    "        d_index_L3.append(int(i%15))\n",
    "\n",
    "#d_index = np.array(d_index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-15T10:43:58.415335Z",
     "start_time": "2020-02-15T10:43:58.392364Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "[85, 155]\n"
     ]
    }
   ],
   "source": [
    "print(len(d_index))\n",
    "print(d_index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-15T10:43:58.422285Z",
     "start_time": "2020-02-15T10:43:58.417301Z"
    }
   },
   "outputs": [],
   "source": [
    "def highlight(s, threshold, column):\n",
    "    is_min = pd.Series(data=False, index=s.index)\n",
    "    is_min[column] = (s.loc[column] <= threshold)\n",
    "    return ['background-color: gold' if is_min.any() else '' for v in is_min]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-15T10:44:02.071600Z",
     "start_time": "2020-02-15T10:44:02.038725Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "            background-color:  gold;\n",
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       "            background-color:  gold;\n",
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       "            background-color:  gold;\n",
       "            background-color:  #800080;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_14561606_4fe0_11ea_a059_144f8ad8692brow1_col4 {\n",
       "            background-color:  gold;\n",
       "        }</style><table id=\"T_14561606_4fe0_11ea_a059_144f8ad8692b\" ><caption>Tab. II Linear codes for IPM with $d_{\\mathcal{D}}^\\perp=6$.</caption><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >$L_2$</th>        <th class=\"col_heading level0 col1\" >$L_3$</th>        <th class=\"col_heading level0 col2\" >$d_{\\mathcal{D}}^\\perp$</th>        <th class=\"col_heading level0 col3\" >$B_{d_{\\mathcal{D}}^\\perp}$</th>        <th class=\"col_heading level0 col4\" >Weight Enumerators</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_14561606_4fe0_11ea_a059_144f8ad8692blevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow0_col0\" class=\"data row0 col0\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow0_col1\" class=\"data row0 col1\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow0_col2\" class=\"data row0 col2\" >6</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow0_col3\" class=\"data row0 col3\" >12</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow0_col4\" class=\"data row0 col4\" >[0, 1, 6, 12, 8, 3]</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_14561606_4fe0_11ea_a059_144f8ad8692blevel0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow1_col0\" class=\"data row1 col0\" >$\\alpha^{10}$</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow1_col1\" class=\"data row1 col1\" >$\\alpha^{5}$</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow1_col2\" class=\"data row1 col2\" >6</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow1_col3\" class=\"data row1 col3\" >12</td>\n",
       "                        <td id=\"T_14561606_4fe0_11ea_a059_144f8ad8692brow1_col4\" class=\"data row1 col4\" >[0, 1, 6, 12, 8, 3]</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
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     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_4 = pd.DataFrame({'$L_2$': np.array(alpha_all)[d_index_L2], '$L_3$': np.array(alpha_all)[d_index_L3], '$d_{\\mathcal{D}}^\\perp$': \n",
    "                     d_all[d_index], '$B_{d_{\\mathcal{D}}^\\perp}$': B_all[d_index], 'Weight Enumerators': wd[d_index]})\n",
    "df_4 = df_4.sort_values(by=['$B_{d_{\\mathcal{D}}^\\perp}$'], ascending=True)\n",
    "\n",
    "(df_4.style\n",
    "    .apply(highlight, threshold=12, column=['$B_{d_{\\mathcal{D}}^\\perp}$'], axis=1)\n",
    "    .background_gradient(cmap=cm_2, subset=['$B_{d_{\\mathcal{D}}^\\perp}$' ])\n",
    "    .set_caption('Tab. II Linear codes for IPM with $d_{\\mathcal{D}}^\\perp=6$.')\n",
    "    .set_table_styles(styles))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Optimal codes for IPM\n",
    "\n",
    "As shown in our paper, the codes satifying two conditions are optimal:\n",
    "\n",
    "- Maximizing $d_{\\mathcal{D}}^\\perp$, here $\\max\\{d_{\\mathcal{D}}^\\perp\\} = 6$\n",
    "- Minimizing $B_{d_{\\mathcal{D}}^\\perp}$, here $\\min\\{B_{d_{\\mathcal{D}}^\\perp}\\} = 12$\n",
    "\n",
    "Note that we use two leakage detection metrics **SNR** (signal-to-noise ratio) and **MI** (mutual information), and one leakage exploitation metric **SR** (success rate) to assess the side-channel resistance of IPM with different codes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "scrolled": false
   },
   "source": [
    "As a result of Tab. II, we conclude that the optimal codes for IPM are genetated by $\\mathbf{H}=[[L_2, 1, 0], [L_3, 0, 1]]$ where $(L_2, L_3)\\in\\{(\\alpha^5, \\alpha^{10}), (\\alpha^{10}, \\alpha^{5})\\}$. Note that these two codes are equivalent.\n",
    "\n",
    "The two optimal codes are equivalent and the generator matrix of the first one is: \n",
    "$$\n",
    "\\mathbf{H}_{optimal}=\\left( \\begin{matrix} \\alpha^{5} & 1 & 0 \\\\ \\alpha^{10} & 0 & 1 \\end{matrix} \\right) \\in \\mathbb{F}_{2^4}^{2\\times 3} \n",
    "= \\left(\n",
    " \\begin{matrix}\n",
    "    0&1&1&0&1&0&0&0&0&0&0&0 \\\\\n",
    "    0&0&1&1&0&1&0&0&0&0&0&0 \\\\\n",
    "    1&1&0&1&0&0&1&0&0&0&0&0 \\\\\n",
    "    1&0&1&0&0&0&0&1&0&0&0&0 \\\\\n",
    "    1&1&1&0&0&0&0&0&1&0&0&0 \\\\\n",
    "    0&1&1&1&0&0&0&0&0&1&0&0 \\\\\n",
    "    1&1&1&1&0&0&0&0&0&0&1&0 \\\\\n",
    "    1&0&1&1&0&0&0&0&0&0&0&1 \n",
    "  \\end{matrix} \n",
    "\\right) \\normalsize\\in \\mathbb{F}_2^{8\\times 12}\n",
    "$$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 BKLC code with parameter $[12, 4, 6]$\n",
    "\n",
    "BKLC is the short of Best Known Linear Code. Note that the code $[12, 4, 6]$ is unique.\n",
    "\n",
    "*The BKLC is defined as An [n, k] linear code $\\mathcal{C}$ is said to be a best known linear [n, k] code (BKLC) if $\\mathcal{C}$ has the highest minimum weight among all known [n, k] linear codes.[See definition from Magma.](http://www.enseignement.polytechnique.fr/profs/informatique/Eric.Schost/X2002/Maj1/htmlhelp/text1263.htm)*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-15T10:44:12.353850Z",
     "start_time": "2020-02-15T10:44:12.324928Z"
    }
   },
   "outputs": [
    {
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       "    }    #T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692b td {\n",
       "          font-size: 13px;\n",
       "          text-align: left;\n",
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       "          font-size: 16px;\n",
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       "            background-color:  #ff0000;\n",
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       "            color:  #f1f1f1;\n",
       "        }</style><table id=\"T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692b\" ><caption>Tab. III A BKLC code for IPM with $d_{\\mathcal{D}}^\\perp=6$.</caption><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >$L_2$</th>        <th class=\"col_heading level0 col1\" >$L_3$</th>        <th class=\"col_heading level0 col2\" >$d_{\\mathcal{D}}^\\perp$</th>        <th class=\"col_heading level0 col3\" >$B_{d_{\\mathcal{D}}^\\perp}$</th>        <th class=\"col_heading level0 col4\" >Weight Enumerators</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692blevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692brow0_col0\" class=\"data row0 col0\" >  --</td>\n",
       "                        <td id=\"T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692brow0_col1\" class=\"data row0 col1\" >  --</td>\n",
       "                        <td id=\"T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692brow0_col2\" class=\"data row0 col2\" >6</td>\n",
       "                        <td id=\"T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692brow0_col3\" class=\"data row0 col3\" >12</td>\n",
       "                        <td id=\"T_1a76e28a_4fe0_11ea_9fb9_144f8ad8692brow0_col4\" class=\"data row0 col4\" >[0, 1, 6, 12, 8, 3]</td>\n",
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     "execution_count": 12,
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   ],
   "source": [
    "bklc_index = [-1]\n",
    "cm_3 = sns.light_palette(\"red\", as_cmap=True, reverse=True)\n",
    "df_bklc = pd.DataFrame({'$L_2$': ['  --'], '$L_3$': ['  --'], '$d_{\\mathcal{D}}^\\perp$': d_all[-1], '$B_{d_{\\mathcal{D}}^\\perp}$': \n",
    "                        B_all[-1], 'Weight Enumerators': wd[bklc_index]})\n",
    "\n",
    "(df_bklc.style\n",
    "    .background_gradient(cmap=cm_3, subset=['$d_{\\mathcal{D}}^\\perp$', '$B_{d_{\\mathcal{D}}^\\perp}$'])\n",
    "    .set_caption('Tab. III A BKLC code for IPM with $d_{\\mathcal{D}}^\\perp=6$.')\n",
    "    .set_table_styles(styles))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that this BKLC code is equivalent to the best linear codes in IPM. It is interesting to notice that the BKLC code $[12, 4, 6]$ can be generated by $\\mathbf{H}^\\perp=[1, L_2=\\alpha^5, L_3=\\alpha^{10}]$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The generator matrix of the dual code of this BKLC code is: \n",
    "$$\n",
    "\\mathbf{H}_{BKLC}^\\perp= \\left(\n",
    " \\begin{matrix}\n",
    "    0&1&1&0&1&0&0&0&0&0&0&0 \\\\\n",
    "    0&0&1&1&0&1&0&0&0&0&0&0 \\\\\n",
    "    1&1&0&1&0&0&1&0&0&0&0&0 \\\\\n",
    "    1&0&1&0&0&0&0&1&0&0&0&0 \\\\\n",
    "    1&1&1&0&0&0&0&0&1&0&0&0 \\\\\n",
    "    0&1&1&1&0&0&0&0&0&1&0&0 \\\\\n",
    "    1&1&1&1&0&0&0&0&0&0&1&0 \\\\\n",
    "    1&0&1&1&0&0&0&0&0&0&0&1 \n",
    "  \\end{matrix} \n",
    "\\right) \\normalsize\\in \\mathbb{F}_2^{8\\times 12}\n",
    "$$ "
   ]
  }
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