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ji0hITE7Ozs21sbHQgIrPzixlQBEEoJhll3759sbGxoaGhIncKKm9xLj6BWxm1Rc4oypQv/s6cfxCJfCN7cHBwaGhobGys+IEbBEHx7Nix49tvv9XVtbt06VLZsmXbtm0bGBj49ddfHz16tIgL9PHxmTJlig60TJkyZZKSktj/RQsoxSSj5AeF/KQiclAoJoFbGVAEQRA5oyhTvvg7c/5BJHKnYP4+TKcgQVBn5ebm7t+/38XFRVdXMC0trUSJEoIg6Onpubi4lC5duihLy8zMjI2N1cYJRd5XvXr1x48fcwiIE1A6d+5cTDKKMigsWLBAEAQxOwXzg4Krq2txCNzjx49XXpewsbERLaMoU76Tk5OyXNF25ncOItE6BZVp293dXfzADYKgeP7666/Bgwfr8FXCLl26REVFHTx48OjRo48fP/7qq69evHhRlA+boUOH6kbLVKxY8fnz5xwCIgQULy+vf/75RxCE+Pj4+/fv63BGkcvly5cvDwoKmjt3riAIQUFB8+fPFycobNy4MSIiQhAEf39/Pz8/3Q7cwcHBDg4OUVFRgiBERUV16NBBnIyyb9++/v3737x5UxCEJ0+eJCQkiLMzv3MQ/fnnn+J0Co4fPz4gIGDt2rXKbzXLly+nU1AH6GnpDfLqq/aIESO2bt2qr1+MIvKhQ4du3749Z86cT304JiIiYsOGDb/++qtutMPjx4+PHTv2008/qeC40qovEnp6op4H7t696+jomF+uXC5/8eJFtWrVdHJ909PTMzIyLC0t88tNSEgwMzMzNzdXa7mRkZFVqlQxNDTMX9n8vxSHnertv4hcbmRkpAg7s0YOovd35rf/opP7lQYLJQhqLAg+fPjwwIEDc+bMKW5fCK5fv75+/fo1a9aULVu28O+aOnXqnDlzLCwsdKMR4uLi1q9fv3DhQoIg5fIZRrmUS7nFJAhyafj/4e3tPXjw4GK44s2aNVu6dOmsWbMOHjxY+NBsY2OjMylQEIRSpUqlpqZyFAAAig+C4P/Jzs4W+RKVpFSqVGnjxo1paWkDBw58+fJlYULzhAkTdKkFjIyMcnJyOBAAAMUHcw3/n8DAwO+++66YN8KQIUM6duy4ZMmSSpUqubu7lyxZ8oMvu3DhgoODg0pmJZEOAwOD3NxcDgQAAEGwODp16tTy5ctphypVqqxfv/7y5csDBw50dXV9f8oQuVy+bt26P/74Q2o1j4mJCQoKCgkJUQ7rJZfL37x5Y2hoqK+vn5uba2dn5+jo6OzsXLt27Q++XS6Xi3YrPQAABEFpyc7O1rEurqL48ssvDx06tHfv3iFDhvTt29fFxSX/AQgDA4MNGzYYGBhIpKp37tw5fPhwSkqKtbV1s2bNpkyZ8sGn2KKjox8+fHj48OGIiAh9ff02bdr06tXr7Yc38/LymjRpwqYHABQfPDX8P7du3bp48aJGJg6XuNzcXF9f35MnT06dOrV58+aSqtulS5c2btzYoEGDYcOGlS9fvvBvlMvlAQEB/v7+NjY2P/30U9WqVVV8XPHUMOVKo1wamXIpV0tXliAodhBctGhRr169GjRoQPL7oMzMTF9f34cPHw4ePFgKcTA8PHzdunV169b98ccfTUxMPns5T58+3bp1a15e3tixY6tXr04QpFw+wyiXcimXIFgcg2Dfvn0LP3JKsZWVlbV+/fqwsLA5c+bY2tpqqhq7du26cuXKsmXLijg/Xr7Xr18vXLjQwsJi1qxZKrlNkCBIuQRByqVcDiKCoNYEwaysrKFDh+7du5eoVxgJCQkbNmyQyWQ9e/a0tbWtWLGiaPcL5uTkzJ0718nJaeDAgSpf+M2bN729vUeMGOHs7EwQpFw+wyiXcimXIFhcguCNGzfOnz/v4eFByCu8R48etWzZMjU11cDAYObMmQsWLFB3iQqFYty4cePGjWvYsKH69quFCxeamppOnTq1KGGOIEi5BEHKpVwOIq3AgNKCIAj3799v2rQp7VAwDw+Pt+cXr1279pYtWwRByM3Ntba2FuE4mT179tixY9WXApUH/Ny5c+vXrz969GhmGQEA6DyCoCAIwoMHDxo3bkw7FOD27duWlpbv3D/Xr1+/adOmzZ8/Py8vz8XF5cGDB+qrwIoVK1q3bt2oUSP1FXHmzBnlD19//fXUqVP79++vHI8QAACCoC5LT08vVaoU7VCA3bt3u7m5vf/3JUuWTJ06dcKECdu2bfPz8/Pw8CjM9HSf6uTJk3p6ej169FDfCqakpAQFBeX/Wrt2bV9fXw8PD7IgAIAgqON0+/J/0UVFRZUpU+btsZf/bwfS11eOwm1lZbV48WI3NzcPD4+lS5fKZDJVlf7mzZs///xz2rRpal3Hc+fOvTMsTsWKFdesWTNx4sSMjAz2AQAAQRDF1OrVq0eMGFGYV1arVm3Pnj0tW7YcNmzYzp07FQpF0Uv/+eeff/75Z3Wv46lTp1q1avXOHy0tLRcuXDh06NDMzEyt22rp6ekaKTchIaH4rK9cLn/7xlmdL5edinJ1aWcuVgcRQbAgeXl5xsbGtMN/iYuLUygUlSpVKvxbOnTosHv3bnNz8+7du586daoopZ88edLR0VGFQz1/kEKhSElJ+eDtAXXr1p0xY8aMGTO0bsPVrFlz4MCBIp90EhISrKysPD09RS43MjKyZMmS/v7+Ip/ZT548aWtr6+/vL/LG3bRpk62tbXBwsMjlzpo1q0GDBpGRkSKXqxwxSuRy5XJ5zZo1J02aJP5BVLJkSU9PT5F35rt372rwIDp+/LjIO9WqVauaNGki/kE0atQojRxEH4lB2kihOtHR0XPnzlXgPyxduvTJkyef997MzMx169b98MMPFy5c+Iy3Z2dnjx49Ojc3V93rePbsWWX/5X/ZvHnz1q1bC79AKRwjMplMOaaPl5eXTCYr4JWqPQ+kpaW5u7vb2Nj4+fkV/ErVlhsfH+/q6mpjYxMUFCRmuREREU5OTk5OTqGhoWKWGxQU5OTk5OrqGhERIVqheXl5fn5+NjY2rq6uaWlpopUrk8n8/PwEQViwYIGYO3P+QeTn5yfyQaTcmUU+iCIiIlxdXZ2cnDR1EBW8M6vjIFLuzPHx8eIfRO7u7gUfRKIhCCoePHiwZs0aAt9/RbHJkycXcSE5OTm7du0aO3bsX3/99Umpbv78+Tdv3hRhNadNm5aRkVHwayZOnHj58mUtCoLvxKOAgADRTnPKM3vnzp0LjkfqKFcZjzp37lzAJ4o6yg0ICPhoPFJ5uW/Ho/8qVx0rW5jvGOootzDfMdS0M3/0O4aayv1oPFLfQVTwdwx1lFuY7xhqPYjE3JkL/x2DIChGELxz58769ev/678pKSnTp0/P//XNmzePHj0KCQm5dOlSSEjI48ePMzMzdTgI7t69OzAwUFVL++OPP7777rtDhw4V5sVhYWE//fSTCOuYlpY2bdq0j74sKyurf//+crlc5CCYlpamqu7/zp07f/CL7wdPcyq87PBfZ3Z1l+vu7v7BM6y6y/Xy8ir8x4kKy/1gPPpgoSp8lsvGxuaDWf+D5apwZ/6veKTucjV4EGlkZ/6veKSRnfmD5apwZxYE4YNfmDV1EInGUCj2srKy/muGtOvXrw8YMCAyMjI1NVVPT09PT8/MzMzGxsbU1NTAwCA3Nzc9PT02NlaZBa2trdu1a9e6dWsjIyOdaZyjR48qvy2pRL9+/b799tvDhw9PnDixZcuW/fr1K1GixH+9eP369fPnzxdhHTdv3tyvX7+PvszY2HjEiBHLli2bNWuWmJvA3Ny8iGdYuVy+adMmNzc3FxeXsmXLFv6mkSLWPD09fdasWfv27evZs2cBG1rl5SYkJEyaNOns2bPdunUr/MzRRS83MjJy1KhR8fHx7dq1+6Sbc4pYbnBw8Pjx462srAo/NaKhoWHRyz1+/PiIESM6dOhgb28v5s68b98+Dw+Pb7/91tLSUsxylyxZMm/ePA0eRGLuzPkHUadOnUQ+iFxcXARBEHlnVh5EDg4O9erVE7Ncf39/Dw+PTzqIuEdQLT2C165d27hx4/sdgWvXri1ZsqQy/23fvv2jy3nx4oW3t3evXr1mz54dGxurA92Bly9fLqCvtIj++ecfFxeXFStWpKamvv/f69evb9q0SYR1zMjIcHV1LfzrBw8eHBkZqUWXhvMvWRZwE4yarrbY2NgUcMlSTeUW5rZIlZdbyNsiVV5uYW6LVOslS41c9xf/kqXGr/uLuTMX8pKlOg6iwtwWqfJypXzdn0vD4gXBu3fvbt68Of/XkJCQqVOnzpw5MygoKDIy8saNG3/++eeZM2cKv8Dbt2+7u7vPmDEjPj5eq4Pgzz///MGUpkLnzp0bO3bsjBkzwsLC3vlXIS/CFpGXl9fVq1cL//rnz58X5qZJKRwjmn2IoeC79NRRbmE+rVVebmHu0lNTuZp6iEEjTwIV5tNaTeVq9iEGkcst5JNA6juIPnq3nArLTUtL0+yTQAXct00QFDsIRkRErF27Vvnz1KlTlyxZkpaWVvTFPnz4sHfv3ufPn9fSFJiZmenh4SFOWZGRkZMmTRo9evSDBw/EXMe0tLSJEyd+6rumTp360U5BKRwjTk5OH/20VvlpLj4+vjCf1iovV/mBXcjv1iosNyAgoDCf1iov18vLqzCf1ir/DHN3dy/Mp7XKy1VGT5HLlclkTk5Ohfy0Vu1BVJjndlVebmhoqAYPooKf21VHuQsWLCjkc7uq3ZldXV0LeRCJRi9POyfVUGG1U1NTvby8Zs+eLQiCQqHQ11fZ2IoymczT09PCwsLDw0PrWnjnzp1Vq1Zt3769aCUmJSXt2LEjIiKiR48eX331lQglTp8+fcSIEbVr1/6kd0VERKxcudLb27uA1+jp6WnRttbT08x5gHJZWcqlXA4ijWNAaaF06dL5z5SpMAUKgmBkZLRw4UIrKyuRHy9Qib///vuT7nkvunLlyv30009r165NSkrq16/fhQsX1FrcxYsXK1So8KkpUBCE6tWrZ2VlxcTEcOwAAAiC+IgffvjBwcHB09NTi+p8//79hg0bitytpVAofHx89PX1Bw4cuGfPnvv370+cOPH169fqKCs1NdXPz2/q1Kmf9/YpU6bs2LGDfRsAQBDUVqmpqYGBgcqf1d3rO2jQIFNT071792pL4/z555+FnFxYVZKSkrp06fL7778rfzU0NBw3btzMmTPd3NxUOAZY/uaeOHHizJkzP7sD2NHR8cmTJ5w+AAAEQa307NmzqVOn5o8YJMLl/2nTpp0+fTo6Olor2qdt27YVKlQQrbiXL1+2b9/+3Llz1apVe/vvlStXXrJkibu7u2o30MKFC0eOHFm1atWiLKRBgwbXrl3jDAIAIAhqmX///Xf69OmrV6+2tbVV/sXMzEyEW74WLFgwY8YM6bdPcnKymM+IKIO4nZ2dIAjlypV75192dnYdOnQ4deqUqspauXJlrVq12rZtW8Tl9O3bN7//EgAAgqB2ePDgwYYNG3bt2lWyZMn8Pzo6Ol65ckXdRVeqVKlly5ZBQUFSbp+0tDRxnth9W+XKlevVqxcYGNimTZv3/ztgwIAzZ86opKAVK1ZUrFhxwIABRV9UlSpVoqKicnNzOYkAAAiC2iE8PHzhwoWrVq16Z8KrZs2aiZPPxo0bd+DAASk30fnz52NjY8UvNz09vXPnzn369Hn/X0ZGRkW/NJyTk6OcQWjw4MGqqnPr1q1v3brFSQQAQBDUAikpKcuWLdu2bdv7057a2tqGhYWJUAcDA4Ny5crFx8dLs4nu37//xRdfaKRoY2PjAv770eeXL168GBERkf/r6dOnz507988//yh/ffr06cSJE8eNG9ejRw8V1vmbb745ffo0JxEAAEFQC8ycOdPT09Pc3PyD/61evfqLFy9EqEavXr327dsnwfbJzs4OCwurVauWRkrPzMz8vDemp6f7+vquWLEiKipK+ZcjR47Exsa2b98+IyNjz549giCsWbNm7dq1jo6Oqq1zrVq1IiMjtfeISE9P/+hfdIZcLpfL5cVnfaWzU73f7Cf/OKsAACAASURBVEARdypx9qv3i9DVnbm4BMGVK1e6uLjY2Nj81wv69u174sQJEWrSsGHDGzduSLCJzpw506tXL02VXqdOnQKuzhcw4J+5ufmwYcPeftx4x44dXbt2FQShS5cuO3fuFATBy8vL1NRUHdU2NDTU3oPC19c3ODg4/1d/f//Dhw/r8ElgyJAhCQkJ+Sf0SZMm5f8KVbl9+/b69evzf42MjNTGeZUgNQMHDswPYenp6QMHDhSh0BcvXnh6euaXm5CQMGTIEIKgtgoKCsrKyurWrVsBr2nXrp04o4Ho6ekZGBhI8CGDkJCQHTt2bNu2LSUlxcfHR+QZdcaOHbtmzZq4uLgP/rd8+fKFX9Tjx49Lly4tCIKZmVl4eLhaq21vby9OR7I6DBs2rHXr1sqhzgcOHOjh4dG/f39dPQkYGhr27NnTyclJmX2bNGmSkJDwznBFKLpWrVpt3bq1S5cuyq8W1atXnzJlCs2CojA3N69Tp46tra3yCkzNmjV79uwpwpfwatWqPXz48OuvvxYE4fjx41ZWVhMmTNDNJs7TTopCS09PHz16tFwu/+grp02bFhsbq1C/5cuXP3r0SCFJmZmZFhYWGik6ISHBzc1t/fr1L168KORbcnNzlT9MmDDh3Llzyp9r1KiRnZ2t/NnOzk6tdT516tS+ffve/7u2HEcLFizIPxX4+fmJXLrI5x+ZTPb2NYGIiAjdXl9NFfp2176rq2txaGTKVbe3pxWwsbGRyWTilPv2redOTk55Okpbp1IufLUnT548ceLEmjVrfvSVd+/e3bt37+LFi9Vd+WPHjhkZGRXcQ6kRMplsz549L1++rFWrVt++fTVSh4cPHx47diwiIsLc3NzAwOCd/7558yY3N1dfX9/IyMjY2Hjs2LH29vaCILi5ufXr1085OmCTJk0uXLhgbm6el5dXv379+/fvq6+2iYmJq1atWrp06fv9vlpxHKWnpyvHUbKxsYmKihL5Srf4U7n7+/sPGjRIGVD8/f1Fbm2NTF2vkUIbNGgQGhqqTNsid7tqZH0pVwSenp7z5s1TfmUV59KwknLKU0EQgoKCWrVqpZsXTHS7Szk4ONjW1rYwKVAQBEdHx/nz56elpb09xKA6VKlS5c6dOxJsLiMjI43fA1GnTp06deoUZQmNGzeOjo6uVavWy5cvGzRooNbaVqhQQSOj7ajwmsuCBQvmzZu3atUqrb7fsZD69+/v4eERGxu7ZMkSrripj7e3d+vWrV1dXbn4DlXx8PCYN2+ejY2NyHewLFmyZM+ePU5OTrqaAgWdv0fQz89v0qRJhX/95MmTt27dqu5alS9fPjk5WWpttWHDBm3cxHK5/MCBA2FhYadOnVLe5TllypTff//99evXPj4+06ZN4wT60dOr+OdWjX3xNTRctWoVAUXdWrVq5eTkRNqGyr+1iv+VtVq1aq6urt7e3jrctrp8afjw4cM5OTn9+vX7pCUPHTp08+bN7481qEKvXr3atm2bpKabS05OXrNmzfz586W2oWUyWWpq6ic9LCIIQmZmZmhoqIODg7o7dwVBGDt27Lp1694ZB1FbLg0rJSQkWFpail9uenr6fw3npNZvDq9fvy4+66uRQovbTkW5ohVaokQJ8a9daGpnFo3O9gjK5fK9e/d+++23n/rG0aNHq/s2wezs7M8eNk9NDhw4IP7McoVx7969z5iLxdTUtEWLFiKkQEEQbG1tRZioWq00dY7TyAeYoaFhsVpfjRRa3HYqyhWtUI3cwaLbKVCXg+CRI0cGDBigr//JK+js7BwXF/fgwQO1htT3H4PQrHPnzrVo0UKC2zEyMrJ27dpS3tPs7Oy0PQgCAIotnQ2C586d++abbz7vvStWrPjtt9/Ud9E8KyurVKlS0mmr2NjYKlWqSPNqZkREhKYmOykka2vrxMRETiUAAIKgVDx69Kh69eqfnWzKlCnj6uq6fPlyNVUvIyNDrfcgfqqAgADJPisQHx9fqVIlKe9sVlZWSUlJnEoAAARBqdi6daurq2tRltCxY0dDQ8OAgAB1VC82NrZs2bLSaa4HDx40btyYg+HzlC1bNjU1lXYAABAEJSE7O/vVq1cFTCtcSFOnTv3nn3/UMRzx69evP/UxWPXJycl554lXfJLSpUu/efOGdgAAEAQl4dSpU71791bJopYtW7Z27dqQkBDV1jAqKko6TyGdPXu2ffv2kt2aP/zwg8T3NzMzs+zsbE4lAACCoCRcvHixe/fuKlmUiYnJpk2btmzZcvv2bRXWMC4urihB8MSJE/v37z98+LBKKnP+/PkOHTpIbSPmz/Do4OAg8f2tRIkSOTk5nEoAAARBSZDL5UZGRiprIH19Ly+vffv2qXBm0piYmM++cu3l5WVgYNCvX7/ly5c/e/as6JXJzs6W4KXh6dOn165du2HDho0aNerUqZPEhz3X0lHZAQDQtSAYHh5ua2ur2mUaGhouWbJEoVBMmDAhLS2t6As0Njb+vHEEc3Jy/vjjj65duwqCcPr06apVqxaxJvfu3fviiy8kuB379ev36NGj27dvr1u3ztvbW7sm6gAAQFvo2jTzJ0+ebNOmjTqWPHjwYGdn55kzZzo4OAwfPrwovWj/Ncx1QkJCVFRUTExMfHx8YmJiWlpa/jVHQ0PDNm3amJmZGRkZBQYGymSyuLi4ESNGFHGlDhw4MGzYMAluR+VdnsnJyYmJiWraoAAAQNeC4PXr10eNGqWmhdvb23t5eV26dGno0KEtWrQYPnx4EceFjoyM3L9/f1hYmEwm09PTq1ixYvXq1e3s7Jo2bWptbW1hYZEfN+VyuUwm++effxITE7t166aMSg0aNHBycipKJH3y5EnRuxXVQblSq1atmjt3rsR3udzcXKnNEwMAQDENgiLM3ubs7Ozs7Hzz5s3ly5dnZmbWqFHD2dm5Xr16BQSyN2/exMbGKi/Cpqenly5dWvn3kiVL9u7du3r16h+dP9HQ0NDQ0LBChQr5F76tra2vXr2akZHx119/lS9fvn///p96kffJkyd169aV7KaMi4uLiIhQ4e2eapKVlcX4OwAAgqDmxcfHV6lSRZyymjRp0qRJE0EQHj58ePbs2Y0bN8pkMkEQ3r6bLf8ZgjJlytSrV08Z1F69epX/yHCFChUqVKhQ+EIbN26sLEUZKKtUqdK2bdu2bdvGxMRs3bo1LCxs6NChnTp1KuTSAgMDv/32W8luzVOnTkl8TpH8DWFmZsapBABAENSwf//9t0GDBiIXWqdOnTp16hT+9a9fv/6k8Pc2ExOTb7755vDhw5aWlmZmZj169FD+vWLFinPnzs3Jydm/f7+bm1v79u179+790Z7RiIiIT6q5yB49emRqair9vS41NdXc3JxTCQCAIKj5INixY0eJVzI5Obko88u5ubnFxsZmZWVt2bLlnX8ZGxsPGjRo0KBBp06dGjlyZPPmzYcNG2ZiYvLB5WRkZPzXvySiVatWWhEEk5KSLCwsOJUAALSRTg0f8+LFC3t7e4lXMi0trYj3vdnY2FSrVq2AF3Tu3NnX19fe3r5fv34HDx784Gv++eefVq1aSbmhunXr1rZtW+nvda9evSIIAgAIgpqXm5v70acuNC4lJUWcjq5u3bodPHgwOTn5xx9/PH/+/PvxRcoxa9KkSdqy18XFxX32tX4AAAiCxUt6enqZMmXEKcvIyGj48OGbN28OCgr64YcfoqKi8v81fPhwyd7Z9uzZMy3qY4uNjSUIAgC0lCFNIDKZTFbE0Qc/lYmJyezZs6OiotatW1e6dGk3NzeJx6y//vpr0KBB2rJBX758aW1tzY4NACAI4uMUCoVGxh+2tbVduXLl06dPJ0+e3KxZs3Hjxv3XBCca9+zZs1q1amnLBk1LS2P4GACAluLSsNjy8vI0OHNujRo1duzY4ejo6Obm5uvrK5fLNd4gyklT8n+Ni4srX768Fm1QZsADAGgvegTFJpPJND4jmXIY6nPnzn3//ffdu3cfNmyYmL2Dz54927p1a3h4ePny5bt06RIZGRkSEuLr66v87/79+7t3765FG1SakzUDAFDsgqAGe9oKLzc3VyL1bN++fbt27Y4cOTJs2LAvv/xy8ODBJUuWVHehv/322+vXrwcPHlynTp34+Pjff/99+vTpgiC0adNm+PDhgiB07969evXqUt6CV65cOXv2bIMGDZSBNT09/fr163v27Pnll19Em9gGAACV0J1LwwqFQiuCoMbruXbtWoVCkR+dXVxcdu7cWbNmzSFDhixatCgpKUl9Re/YsaNSpUqenp7KGU2srKzi4uKUE+7NmDHj9evXgiDY29tLfDtWqlQpIyMjNTX1f4eQvn69evX+/fffty9wAwBAEBR3TfT18+f2lThjY2NNFZ2Xl3fz5s33LwR37tz54MGDXbp08fT0dHNzu3btmjoS8K1bt77//vu3/7hixYrY2Nj4+HhfX98pU6Y8evRI+pvPzs7u7V9NTU2trKw4lQAACIIaphVB0MDAoESJEpoq/cGDBw0bNvyv/7Zo0WLNmjWLFi26cuXKgAEDduzYkZWVpaqir1692qJFiw/+q3z58j179ty8efOvv/4aHBzMYQkAAEFQN2n2qeHly5fXrl274NeUKVPG3d19z5499vb28+fPnzZtWkBAQHZ2dhGLvnnzZgEZVBCEEiVKbNq06cyZM5s2bWI/AQCAIAhV2rhxo5+fX3R0dGFerKen17Zt22XLli1evDgnJ2f8+PFubm4XLlz47G7XmJiYj15CNTAw+OWXX2xsbIYPH56WlsYmAwBArRg+Rmya6hEMCgqaMmWKIAjh4eGf9EZjY+M+ffr06dMnJSXl+PHj06ZNEwTBwcGhY8eOVatWLfxy5HJ5wTNBx8bGli9f3sjIqHfv3l988cXYsWMnT57ctGlTLdqy7N4AAO1iMH/+fJ1ZmdOnT3fu3FnilQwODm7UqJH4c1EYGhrm5ORkZGSYm5v36dPnM5ZgYmLi6OjYtWvXjh07vnnz5vfff9+wYcOdO3cMDQ0rV6780cERQ0NDHRwcChihZuLEib169VIux8rKqnv37kuWLAkPD/+vOws1Zffu3aGhoampqTKZ7IsvvkhJSdm1a9fz58/T09NNTEwqVaokaMlIRgAA6GlpN8YHqz1z5sylS5dKvObLly8fOXKkRibP8PDwcHd3t7OzU2FMefLkycWLF2/duiWTySpUqNC0adMWLVpUrFhx9uzZdnZ2Y8aMKeRy/v333z/++OP9ryV79ux5+fKlh4eHlh1XBEEAgDbg0rDYFAqFpib5ffz48SddzC2MmjVr1qxZUzm7RmJi4pkzZzw9PZ8+fXrnzp3ExMSAgABfX9+Ppt68vLzVq1evXbv2/X+5urrmj3ooNX/++ee3337LLg0AIAhKQtmyZRMSEpQDFEvWhAkTSpUqJX65T58+dXBwUGsRFSpU6N+/f//+/ZOTky0tLfX19R88eDB27Nhq1arZ2dk1b968YcOG7w+dk5CQMHfu3JEjR/7X5XJlbr5y5cqtW7fkcrm7u7sgCDKZ7MCBA4aGhkFBQd9//72zs7P4TXrkyBGCIACAICgV1atXf/TokZSDYFhY2MWLFx0cHMS/7+306dO9evUSrbigoCBHR8f8bBceHn727FkfH5/s7Gxra+tatWqVK1cuNTX15s2bMpls3rx5FStWLHiBDg4OSUlJN27cUP7q6+tbo0aNTp06OTo6tmvX7uXLlyLP4Pz8+fMaNWpwBgEAEASlwt7ePiQkpHXr1tKs3tWrV2Uy2ZAhQ+bMmXPy5MlffvlFzNJv3749cuRIccqysLB4J+na29vb29uPGDFCEISkpKTHjx+npaVVqVKlb9++pUuXLswy3+lGtbKyCgsL69Spk7W1dWJiYmZmpggTJb/t8uXLHTp04AwCACAISkXdunV37Ngh2ert3bu3UqVKrVu39vDwaNy4sZhBUC6X6+npaerexHeUK1euZcuWRVxI7969lT8cPnx41KhRIqdAQRBCQkK4LgwAIAhKiJmZ2Zs3byRbvXnz5ikH0nv27Jmtra2YRV+4cKFZs2Yab4Fbt241btxYhQuMjY29fv36hg0bxF+X3NzcgodFBABA+nRtZhFjY2OZTCbNullYWJQsWTI3N3fFihW//fabmEUfOnSoS5cuGm+BLVu2vHz5UlVLS0hI2Ldv35o1a+Li4kTe6M+fP7exseH0AQAgCEpLgwYNHjx4IOUabtq0afbs2SI/LPLs2bPKlStrfN0DAwMXL1782W9/e/BImUy2du1aR0fHCxcubN682cjISMwVOXr0aMeOHTl9AAAIgtLSpk2b/AdLJej48eMdOnRo0KBBcHCwaIXeunXryy+/1Pi6BwUFPX/+fPv27VFRUZ/x9osXLz558sTY2PjYsWPKXxMTE//444/9+/e/PySNul29erVBgwacPgAA2k7XbnJydHT08/OTZt2OHDkyc+ZMKyurvLy8qlWrtmrVSpxyT5w48f3332t89X18fARBKFGixL59+z5jppA2bdq0adMm/9eOHTtqqk8uMTFROUoipw8AAEFQWvT09CQ7EUXTpk337dun/LlMmTKilfvs2bOaNWtqfPW9vb07dOhgY2PTtWtX1S553bp1w4cPF+3B4YCAgH79+nHuAADoAB3s1WjevHlmZqYEK1apUiUHB4dq1ao5ODhUqVJFnELj4+M1Mq/x+0xNTcuVK5eRkaHyJXft2lXMh2/u3LlT9OFvAAAgCKpFv379TE1NJVu9RYsWiVncH3/88fXXX0tk3Y2NjXNyclS+2Dp16igUioiICBFWISUlRfwxCwEAIAgWVnJy8t69ew8cODB58uSEhARJ1S09PV3kkPrPP/9IZ6oVU1PTxMREdSx50qRJnp6eIqzC3r17e/TowYkDAEAQlKgtW7ZERUV99913VlZWK1eulFTd4uLiKlSoIFpxERERNWvWlM5jDeXKlUtJSVHHki0sLJycnK5evaruVTh37lzz5s05cQAACIISNXToUFdXV2XqsrOzk1TdYmNjxQyCf/311w8//CCd1Tc3N09LS1PTwidMmLBnzx611v/69eutWrXS09PjxAEAIAhKlJWVlbGxsa+vb15e3tixY6UWBC0tLUUr7v79+40aNZLO6ltaWkZHR6tp4cbGxlZWVp83SGEhHTp06Mcff+SsAQAgCEo9Cw4bNiw7O3vv3r2SqlhMTIxoQTAyMlIKs4m8zdzcXK2TQQ8ePHjTpk1qWnh6erpCoShVqhRnDQAAQVC6Tp48qex2+u6775YtWyapusXGxlpZWYlTlo+PjwSHu1PrdVU7O7vo6Gh1PJgsCML69euVtxwAAEAQlK6VK1feuXNHEIQ3b95IZAi9fHFxceJUKS8v7/bt2/Xr15fa1jEwMMjNzVXf8nv06HH+/HmVLzYzM/P+/ftMKwcAIAhK3dKlSzMzMw8dOnT8+HEvLy9J1U0ulxsYGIhQ0OnTpwcMGCDBrVO3bt2wsDCtC4K+vr7u7u6cLwAAOsZQ91apadOmTZs2FQShT58+xXa7njhxQmqXxZWaN29+586dOnXqqGn5ZmZmWVlZKo/vDx48GD9+POcLAICO0dft1bt48aI65jSTuNevX5uZmRkZGUmwbs7Ozjdv3lRrERUqVIiPj1fhAtevXz9o0CBOFgAAgqCWKV269Pr16yVSGblcLk44W7du3ZAhQ6S5RSwsLFTeY/d+1jxz5oyqlvbixYsnT558+eWXnCwAAARBLdOgQYN79+5JpFPw1atX1tbW6i4lIyMjIiLiiy++kOxGsbW1jYmJUetGv3btmqqWtnbt2vnz53OmAAAQBLXS5MmTfX19pVCTxMREEcaO2b1797hx46S8Rfr27XvgwAH1Lb9MmTKvX79WyaJCQ0MrVaok5mQwAAAQBFWpcePGDx8+lMlkGq9JUlKSCKNJ37lzp0WLFlLeIjVq1FDrg8Mq5OXlNXHiRE4TAACCoBYbNGiQFO4UFCEIBgYGdunSRfpbpGnTpufOnVPf8s3NzYt+J+KKFStcXFyk+cwNAAAEwcJq2bLlvXv3EhMTNVuN5ORkdY8mfeTIERcXF+lvEVdXV29vb/Utv2LFikV8cPjWrVsRERE9e/bkHAEAIAhqvfnz569bt06zdUhNTS1btqz6ln/u3LkmTZqodQ43VTEyMvruu+8OHjyopuVXqFChKLcJpqWlrVq1avXq1ZwgAAAEQV1ga2trZGQUERGhwTqkpKRYWFioaeF5eXkbNmyQ7Kgx7+vfv39gYKCa5gUuWbLkZz8qnpeXN3r06JkzZ5qamnKCAAAQBHXE5MmT165dq8EKZGRklCpVSk0L37Nnz9ChQw0NtWmqmAkTJsydO1cdSzYyMpLL5Z/33sWLF3///fcSnKYZAACC4OcrVapUo0aNjhw5oqkK5OXlqem6rUwmu3jxYo8ePbRrizg5OVWuXDkgIEDlS1YoFJ/X1Dt37jQ2NtaK+ywBACAIfpohQ4YcPHhQtfOPScHy5ctHjhypjTV3c3M7derU06dPVbvYrKysEiVKfOq7/vzzzwcPHkyfPp3zAgCAIKiD9PT0VqxYsXjxYl1aqcePHycnJzdp0kRL67948eLp06erNp0nJyd/6lX4I0eOBAUFLV++nJMCAIAgqLOsrKxatmzp5+enM2uk7XOgmZmZbd68efbs2Soc3yc+Pv6TpgPZtm3blStXVq1axRkBAEAQ1HGurq6XL19+8OCBDqyLj49Pt27dSpYsqdVrUaFChcWLF48ZM+bFixcqWWBcXFwhh2xUKBSzZs1KS0tbsmSJvr4+ZwQAAEFQ9/36669r1qxJT0/X6rV49OjRnTt3vvnmGx3YIlZWVtu3b1+6dOnly5eLvrRCPiwSFxc3cuTI1q1bT548mXMBAIAgWFyYmJj8/PPPEyZMyMvL09JVyMvLW7FixYoVK3Rmo5QpU2bdunUBAQFFHOWnkE9nHzt2bOTIkQsWLOjevTsnAgAAQbB4sbe3//HHH5csWaKl9f/ll19GjRplYmKiSxvFwMBg0aJFderUGTJkyK1btz5vIeHh4bVq1SrgBWFhYaNHjw4PDz98+LCtrS1nAQAAQbA46tChQ+XKlbdv3651Nd+/f7+trW3Lli11crt069Zt8+bNe/bsGT9+fExMzKe+PTk5uVOnTh/8V0JCwk8//bRq1aolS5a4u7tzUyAAoJjT09Jroyqs9ooVK6pXr96vXz9113n27NkLFy4sevgIDQ3ds2fP0qVLdX7vDAsL8/b2FgRh0KBBTZs2LcqigoKC9u/fr6+vP3LkSAcHB7UfV9ow4zMAAARBQRCENWvWWFpaDho0SK11Xr58+YgRIz5pWJMPpsBff/3Vx8fHyMiomOyjycnJ/v7+t27dsra27t69e/PmzQu57ikpKcHBwWfPnk1JSWnRokX//v3VN8UfQRAAQBDU1iAoCMKvv/5qZWU1ZMgQ9dV527Ztzs7O9erV++wlxMTEuLu77969+zOmzdABsbGx+/fvv3DhgkKhqF69et26dW1tbStXrmxsbKxskNevX8fExISHh//777+pqakmJiZt2rTp0aNH2bJlxT6uCIIAAIKgFgVBQRC8vb3lcrm7u7ua6nz06FETE5MuXbp83tsjIyOnTJmyceNGGxsbdtyoqKinT59GR0cnJydnZWXl5uaampqWKlXKysrK1ta2Ro0aZmZmmjyuCIIAAIKgdgVBQRD2798fGhq6cOFCdSz81q1bN2/eHDVq1Ge89+XLlxMnTvTx8RG/cwsEQQCAruKpyf9Hv379OnbsOHbs2ISEBJUv3M7O7unTp5+XICdPnrxx40ZSYMFSU1NpBAAACIKfr0OHDrNmzRo1alRoaKhql1yhQoW4uLhPfVdgYOCaNWt2795tbW3N1inA/fv37ezsfvvtN5oCAIBCMqQJ3mdnZ/f777/PmzevUqVKU6ZMMTAwUNWSP+mKdm5u7tKlS3Nzc7dv325oyJb6iOXLl79586ZZs2Y0BQAAhUSP4IeVKlVq9erVdevWdXFxefTokaoWa2lpmZSUVJhXPn/+vHfv3s2bN583bx4p8KMiIiL27NnTrFmz1q1b0xoAABQSCaMgPXr0+PLLL5cuXVq2bNnJkycX/UHUli1bhoSE/Ne8F0oKhcLHxyckJGTbtm1cDi6k1atXKxSKyZMn0xQAABQePYIfUa5cuZUrV3bs2PG7777bvn17EZ9WbtOmzfXr1wt4waVLl3r16lW2bFlvb29SYCFFRUVt27atVq1a/fv3pzUAACg8ho/5hBIPHTp0+PDhxo0b//jjjxYWFp+3nOTk5A++NzAwcN++fbVr1544caJmx8DTOr179z569GhAQMBXX30lleOK4WMAAARBXQqC+YKDg729vUuVKjV8+PDmzZsXcWkpKSm7du06fvx4r169Ro4caWxszE75SZRN99VXXwUEBEjouCIIAgAIgjoZBJWio6MPHjx47949U1NTZ2dnZ2fnKlWqFPK9crk8NDT0woUL4eHhRkZGvXr1ateuHdHhM2RmZjZp0iQ8PPz69euOjo4EQQAACIKiSk9PP3PmzJkzZ54/f66np1ezZs3q1avb2NiUL1/ewsJCX18/MzMzMTExOTn55cuXT548SU9PNzIyatq0adeuXatXr84uWBRubm7e3t7z5s2bO3eutI4rgiAAgCBYHILgO7V6/vz5s2fPkpKSXr16lZ2dnZeXZ2BgULp0aUtLSzs7u6pVq5qYmLDbqcSxY8dcXFyaNWsWFBQktRF2CIIAAIJgsQuCEE1sbGzDhg1TUlJu3Ljh4OAgueOKIAgA0AYMH6MBr1692rRp08mTJ2mKz5Oent67d++EhIStW7dKMAUCAKAt6BHUgJiYmGrVqjVu3Pjy5cvsgp9hyJAhfn5+48eP9/LykuhxRY8gAEAb0COoARUrVuzTp8+1a9eC68hFiwAAFRFJREFUgoJojU81Z84cPz+/Dh06rFy5ktYAAIAgqH2mTp0qCMLSpUtpik8yd+7cpUuXtmrV6siRIzx2AwBAEXFpWGN69ux54sSJoKCgL7/8kh2xMDZs2ODu7l6zZs1Lly6VL19e0scVl4YBAARBgmAB7t+/37hx44YNG16+fFlfn67Zj1izZs20adPq1q0bGBhYsWJFqR9XBEEAgDYgf2iMg4PD4MGDb9y44efnR2sUbMGCBR4eHra2tlqRAgEA0Bb0CGrSs2fP6tevX6FChdDQ0FKlSrE7vi8rK8vd3d3Hx6du3bpHjx7VlrlY6BEEAGgFegQ1qWrVqgsWLHj+/Pm0adNojfelpqb26NHDx8enVatWly5dYkY+AABUix5BDcvNzW3btu2VK1eOHTv29ddfs0fmu379+sCBA8PDwwcPHuzt7W1ubq5NxxU9ggAAgiBBsDDu3r3btGlTa2vru3fvlilThp1SEIRt27a5u7vn5OQsW7ZMOdSOlh1XBEEAgDbg0rDmOTo6rl69Ojo6+vvvv5fL5cW8NV69euXq6jpmzBhLS8vAwEBtTIEAAGgLg/nz59MKGte8efN///336NGjCoWiY8eOxbYdTp482aVLl+vXr3fo0OHvv/92dHTU0hWhRxAAoBXoEZQKb2/vunXrLlu2zN/fvxiufnx8/OjRo3v06JGWlvbrr7/+888/1tbW7BUAAKgV9whKyPPnz5s3b56UlHT8+PHOnTsXn73wjz/+mDRpUkJCQrNmzfz9/e3t7bX+uKJHEACgDegRlBA7O7sDBw6UKFHi+++/DwkJKQ6rfPv27W7dug0cOFAul//2229BQUE6kAIBANAW9AhKzunTp3v27FmmTJlz587VqVNHV1czOTl55syZW7ZsEQTh22+/Xbt2rS5NGUKPIABAK9AjKDmdOnXau3dvcnJy27Ztg4ODdW8F09PTFy1aZG9vv2XLliZNmgQGBu7bt4+J4wAAIAhCEATBxcVl165dr1+//uqrr06cOKEz65Wbm7tt27batWvPmzfP2NjYx8fn2rVrxepuSAAACIL4uP79+wcEBJiYmLi4uKxcuVLbVycjI2PTpk0ODg5jxozJzs5esmTJ06dPhw4dyoYGAECDuEdQ0u7du9e9e/fo6Og+ffr4+vqWKlVKGyPgli1bVqxYERcXZ2ZmNnHixOnTp5ctW1bHjyvuEQQAEAQJgkWXmJg4dOjQEydO1K5de8uWLa1bt9aWmkdGRm7ZsmX79u0JCQmWlpZjxowZN26cjY1NsTiuCIIAAIIgQVBVK7t58+aZM2empqaOGDFi6dKl5cuXl2xtc3Nzjx07tnXr1sDAQIVC0ahRo/Hjx7u6upqamhaj44ogCAAgCBIEVSgsLGzQoEE3b960sLD47bffhgwZIrUapqSkbNmyxcvLKzo6WhCEjh07zpw5s3jOmEcQBABoTaLSRopiSS6Xr127tly5cnp6ei1atDh+/LjIFXj9+rWXl9c7f8zJyTlx4sSgQYNMTU319PTKlSs3adKk0NBQXWr5N2/ecK4AAOhgzwU9glonKSlp+vTpvr6+giC0bNly0aJFHTp0EKHc0NDQp0+fjh07Ni4uTvmXly9f+vj4bNu27cWLF4Ig1K9ff9KkSYMGDSpRokRxP67oEQQAEAQJgupz9+7dpUuX7t+/X6FQNGnSZOTIkQMGDChdurS6y7W2tlYGwfDw8Lp168rlcktLy/79+w8aNKhFixYcUQRBAABBkCAokidPnixatMjf3z83N9fExGTAgAFjxoxp3ry5CEHw4cOHbm5uo0aN6t27t7GxMduCIAgAIAgSBDXg5cuXu3bt8vPze/DggSAIdnZ2X331VYcOHVq3bl2pUqUiLjw8PPzatWsDBgx4JwiCIAgAIAgSBCUkJCRk27ZtBw4cSExMVP7F3t7e2dm5SZMmDRo0qFOnjrW19UcbNjo6+sGDB3fu3Llx40ZwcHBMTEyZMmWSkpIIggRBAABBkCAodQqF4ubNm+fPn798+fK1a9devnyZ/y8zMzMbG5vy5cuXKVPGzMzM0NBQEASZTJaenp6SkpKQkBAXF5ednZ2fZqpVq9a8efN27dqNGTOGIEgQBAAQBAmCWiYmJubWrVt37959/PhxeHh4dHR0fHx8WlraOy8rU6aMlZWVra2tvb197dq169ev36RJk7dHrn727Nm5c+fGjx/v4+PTvn37YjJHCEEQAEAQJAjqmtzc3MzMTJlMpqenZ2RkZGpqqq+vX/BbcnJysrKyDA0NlW9R9iaCIAgAIAgSBAGCIABAy+jTBAAAAErp6enp6env/z0hIYEgCECXRUZGfvD0J/5ZODIyUuta7+7du1JovfdrJZfLi+2+9BnNJbUqyeXy4OBg6ScnbTxm/8vt27dLlizp7+//9rEjl8udnJwGDhyoe3GQIAjgf6pUqeLs7Ozp6anZj3Bzc/NZs2YNHDhQuz5a7O3ta9asqfHWe0epUqVsbW3f+UgTgaWlpQRb46NSU1MbNGggqeBlaGgYEhIitVrpxjH7X1q1ahUREXHs2LEmTZrkN7uhoWFUVJSzs7OVlZWnp6dGvl+pS552UgASlqe14uPjlWeGBQsWpKWlaaoaMplM+Vi6q6trRESEtrReaGioFFrvHX5+foIg2NjY+Pn5yWSyYt4aH7VgwQJBEJycnIKCgqRTq86dO0uwVjpwzBYsKCjIxsbmnTVKS0tzdXW1sbEJCAjQjdUkCAI6GARlMplKviguWLBAVdGhKNVwdXXVSJJ4f5SlT209SW1NZRxU1afXpzaOqlpDxR+BBXJycgoNDZXanubk5CRO0pLIMSvlrjQnJ6f4+HhtD4JcGgZ0kKGh4WefFNzd3fNP5UOGDFHVOEGfWg0vL6/8U+2ECRPMzc01csHrUxObsudGmXs8PDw0vjWVISN/1M9x48a1a9dOnMZRU2uo+5pYfqe4jY3NjBkz6tatK4U9LSgoKP9w8Pb2rlatmgQvGKrpmNV4p6CTk1Pnzp0/2Ck4Y8YMS0tLLg3TIwjozqXhgIAAKVzcUV5VlPKFsAKuKkrtSqgyjYlfK2m2xkfDq5OTk/iX0QsWHx9vY2Mj8cNBS4/ZAkRERCjT3ttrJJPJlPdaqPBqicYxJjCA/0lISNi9e3dERIQ4/Q3/JT09/aeffgoKCmrVqpUWtZ7ypvK0tDSNdF7+l/Xr17dp0+avv/4SuVbKx2+l1hoftWTJkhkzZvTv3186A+bL5fJFixYdOHBAyoeDlh6zBbT5kiVL5s2b5+fnt2vXrvydITg4+LvvvuvQoUN8fLwudAT+/7R1QGkAAAB1fKk7ffq0h4fH219j0tPTR40aNWHCBN0IuwRBAAAAMI4gAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAQBCkCQAAAAiCAAAAIAgC+P/arUMbAGAgiGGk8Pbf9PF1iKrSA3uEoACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBAIygBAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBAAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQCMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBAAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAjKAEAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCABgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQB4dGYmiRCwSlsRAPjtAmRHhCnibfyfAAAAAElFTkSuQmCC)
12n
0056
(K12n
0056
)
A knot diagram
1
Linearized knot diagam
3 5 6 8 2 12 10 5 11 8 6 11
Solving Sequence
2,5
3
6,8
9 1
4,11
10 12 7
c
2
c
5
c
8
c
1
c
4
c
10
c
12
c
6
c
3
, c
7
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−303u
16
+ 1548u
15
+ ··· + 4864d + 3360, 413u
16
− 1717u
15
+ ··· + 4864c − 1676,
− 306u
16
+ 1521u
15
+ ··· + 2432b + 652, 30u
16
− 53u
15
+ ··· + 1216a − 204,
u
17
− 5u
16
+ ··· − 11u
2
+ 4i
I
u
2
= hd + u, c + u, b − u − 1, a, u
2
+ u + 1i
I
u
3
= hd + u + 1, c, b + u + 1, a, u
2
+ u + 1i
I
u
4
= hd − c + u + 1, cb − 1, a, u
2
+ u + 1i
I
v
1
= hc, d + 1, b, a − 1, v − 1i
* 4 irreducible components of dim
C
= 0, with total 22 representations.
* 1 irreducible components of dim
C
= 1
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1