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lJ8fb2fuMWQ5WwceNGxU0HCoLQunXrVatW9ejRQ8yNUHJpmPECACAIqons7OylS5daWFisWLHiQx8BrlGjRlJS0vuDYKkqVapMmzYtPz9/y5YtW7du9fb2bty4saq0UkREhJubm+KmA0va58WLF+JvCh0dneLiYnV9GAgAUHGwfIwQERHh5+c3cuRIX1/fj1gIpk6dOg8fPvygr1SqVGncuHELFy48e/bspEmTRP46jRJSqXTPnj0DBw5UdEH6+vq5ubkibw0HB4fExETGDgCAIKjCZDLZggUL4uLi1q5da2Nj83EbcXR0vHfv3sclngkTJgQEBKxdu3b58uVSqVTMbRUWFvbdd99paiq8w7Rs2fLChQsi7zn29vaPHj3i9AEAIAiqqtzc3IkTJ7q7u3/iC3PNzc0/5Y4xY2PjoKCgli1bjh079ty5c+Jsq6KiolOnTn377bdKKKt9+/anT58WeeextbVNTk7m9AEAIAiqpOfPn0+cOHHatGktW7b89K19+stnW7RosW7duoSEBF9f38ePH4utuZYuXTps2DDllGVqapqRkSHy9/lWq1bt+fPnnD4AAARB1XP//v25c+cuX778oy8Hv8HW1vbT7xjT1NQcPHhwYGBgaGhoSEiIeK4U3759Oycnx9XVVWkltm3b9vfffxdzF7KwsMjMzOT0AQAgCKqYqKiopUuXrlq1ysTERI7BRV5XdY2NjQMCApo3bz5mzJhr166JocVCQkLmzZunzBJ79Ohx5MgRMfciAwOD/Px8Th8AAIKgKnny5MmGDRvWr1//rtfEfRxXV1f5hjZXV9eQkJCIiIjZs2dLJJJybLFDhw5169ZNT09PmYVWqlTJ1NT0yZMnYu5LIr94DQAAQfD/yM7O9vf3X7FihdwffdXR0SksLJT7NufOnfv9999PmDDh+vXr5dViZ8+e7dq1q/KLHj169Lp16xifAAAQBOVAJpPNmDFjwYIFxsbGith+w4YNb926JffNOjk5rVu3LjIycsGCBdnZ2aU/T0tLCw8PP3PmjELnpZYsWeLn51cux6tWrVoSieT+/fui7U5KWEkHAACCoNwyzZAhQ6pXr66g7Xt6eoaFhSnkCGlqjh8/3tvbe+bMmdu3bxcEITExcdWqVZ07d758+bLiVlq5fPlyjRo1atasWV6HzM/Pb9q0acXFxSLsTq9evTIwMOD0AQAgCKqAsLCwKlWqKPS5Vzs7u4SEBMVtv1atWsHBwba2tjKZbO7cuYMHD9bU1Bw+fHirVq0UUVx2dvbOnTtHjRpVjkfNwsJizJgxa9asEWGPSk1NNTc35/QBACAIil1SUlJYWNjw4cMVXVDNmjUV/bI4Nzc3DQ2NM2fOJCUlHT9+/PDhwwp6jMPPz2/q1KkaGhrle+zc3d1fvnwZHx8vtk719OlTKysrTh8AAIKg2C1dunTFihVKKOibb77ZtWuXEgp6+fKlra1tt27dsrKyjh49KvftHz161MXFxd7eXgyHb9asWUuXLs3LyxNVp0pISJDXIpQAABAEFWXv3r3dunUzNTVVQlnOzs7Xrl1TwkLQpqamtWvXFgShWrVqZ8+eLSoqkuPGHz9+fOXKlaFDh4rkCOrr68+ZM8fPz09U72K+c+eOSIIyAAAEwbfLzMy8evWqh4eH0krs1q2bEt6T26ZNm9TUVEEQsrKyHBwcoqKiJk2aJJdnlqVSaWBg4Pz580V1HG1tbYcPHy6qLJicnFylShVOH3KXk5Oj/EKLiorKq1z5/hVX9kYur3IrTqeqaOVWtEFEEFQZq1atmjp1qjJL7N+//y+//KLoUhYuXBgaGnr8+PHk5OQRI0Z8+eWXCxcuPHv2rK+vb1RU1KdseenSpaNGjTI0NBTboXRycurXr9/UqVPLd3nt0rjM2jGKkJqaamRkFBISouQz+507dxwcHPbs2aPkck+dOlWzZs0TJ04ouZ1nzZrl4uJy8+ZNJZc7YsQId3d3hT5U91YODg79+vUr+eNZmWnMwcEhICBAyfGovAbRqVOnSgaRkg/ugQMHataseenSJc6fn0SmmqT/5cGDB4GBgVKlGzt2bG5urhIKKiwsfOMnBQUFoaGhEyZMuHz58kds8OTJkxs3bpSK2J07dwYOHJiYmFi+uxETE7Ny5cr3f0aGj5Kdne3l5WVtbR0eHv7+T8r33PXw4cMOHTo4OTldvHhRmeXGxMQ4OTl16NDh4cOHyiz34sWL1tbWXl5ez58/V1qhEolk9+7d1tbWPj4+2dnZyiw3ODhYEITg4GCJRKK0crOzs318fKytrXfv3q3Mcp8/f16+gygmJkbJnbmMgwjvPCLqGgT9/Pxevnyp/JTw888/h4WFlWNMKSgoWL169ffff3/69Omyf+v58+cjRoyQil5mZuagQYNiYmLKcR82btz4999/EwQV5+HDh05OTk5OTu85syvij9iyxCNFlFuWeCT3ckvjkb+//7tiiiIqW/KGp/fHIwWV+5/xSBHlluVvDEWUW5a/MRRRbnh4uPIHUdn/xkAFCoJPnjyZN29euaSE3Nzc6dOnl3tgysvL27hx4+DBg/fv3y+RSN7/4ZycnH79+qWkpEhVQX5+/pw5c3bu3FleOzBlypTi4mKC4Pv/4pcXLy+vt8aFt/4ukWO574pHii539+7dZfzdKd/bJN4aU95aWTmW+67Zo7eW+/qrlT693LfGFEUf3HfFI0WX6+PjU16DqOxBUAmDCO+inrc6LVmypLwWQ65UqZIgCHJ/9fCH0tPTGzFixNatW/X19UeNGhUQEJCUlPSuD8+ZM2fBggWqsjCerq5uQECAmZmZr69vcnKykksvLi7W1NQs9xUW1f6Gk9L5m27dumlrayut3IcPH3p5eTk5ObVv317J5ZZMgn711VdlLFRbW1uOk6COjo7KLLdk/qZt27Z16tQpY7mGhobymgTt2bOnmZmZMjuzv7+/IAjdunVTcrklg8jDw0PJnblkErR9+/bKPGmUToKWfRBBbe8RTEhIKN85ud9///3nn38W1SzaP//8M2fOnJEjR546derfE2zXr1+XqqC0tDQ/P7/ly5cXFBQo8+AeO3bsPz/Gn5ifeJXn/ZcsFXF1qfS39fvv6FJEuWW5o0vu5ZbvJcsKct2/jJcsFXfd//23RSqiM5fltki5l1v22yJRUS4NL1iwIDk5uRwDSlFR0ZQpU0SYnPLy8nbu3Ont7b106dKkpCSpWvj7779HjRoVERGhnOKmTZuWn59PEFSQMj7EIPffJWW/wUiO5ZblLj1FlFuWu/QU0cgV7SGG8noSqCx36SmiM5cMIn9/fyUPopK/3/7zSSC8h7b6TXCmp6dXrVq1HPeh5NJhcXGxlpaWqBpHT0+vf//+/fv3v3///po1azIyMsaOHevs7KzSR7xx48br16/ftGnTqFGj5s+fX716dcWVVVBQIJPJdHV1uZKgoJUvxo4de+jQoZYtWyqz3EuXLm3btu3KlSt2dnbKLPfUqVOXL19+/vy5paWlMsudNWuWIAjx8fFKXijK19f3q6++2rFjR9kvU8rFN9984+fn16dPH2WWm5OT07FjR+V35tTU1JkzZ546dapx48ZK7szlMogOHDhw9+7d7OxsEa56pkI0ZHK9SVOZge+tPz979mx6enqPHj3Kd/eOHTtmYmLStm1bMbfhq1evdu/efffu3VatWn377bc6Ojoq3ZVTUlLWrl2rqak5YcIEBa32vG/fPltb27LcgMJNhAo/c2mUz7mrQpVLI1OuOpWLihIEZ8yYERAQUO5zNvn5+YGBgYGBgSrRmGfPnt25c2fdunV9fHwMDAxUukM/e/YsODhYV1d3/Pjx5ubm8t34+PHjQ0JCynim4+TC7zCCIOVSLkFQ/NTqqeGioiKRXLmrVKlSfn6+aBtq7dq1eXl5pf/btm3bLVu2dO7ceezYseHh4SrdB6pWrRoYGNi/f//58+fPnj07JSVFXlv+/fff27VrxykDAEAQFKmLFy+2atVKJDvj4OAQHx8vwlY6fvy4pqamvr7+Gz93dnb+6aefnjx5smjRIlX/c83e3j44OHjEiBHLli2bO3duWlrap2/zyJEj5X7LAQAABMF3OnPmjHjmbNq0aXPu3DmxNVFBQcHx48fHjBnzrg+MHDmyRYsWPj4+atAf7OzsgoKCBg4cOHbs2HXr1kml0o/e1IEDB9zd3bngCwAgCIrX119/LZ5Hh+rVq3fv3j2xNdG6desmTJjw/s+4ubl16dKlZGELNeDo6FjyYvKBAweWrDj/oVvIyMg4fvz4t99+y/kCAEAQFJ38/PyS3+6tW7cuLi4WyV6J8H7Y3Nzcp0+fNmzY8D8/2blz5/T09Pe8jETldO/efffu3SYmJoMHD7506dIHfXfx4sWLFi1iOhAAQBAUo19++aVatWrNmjWbO3euqH5bm5qavnjxQjz7s2/fvgEDBpTxw+PHj9+2bZuadffu3btv2bLl2rVrEyZMePr0aVm+cvLkyYYNG9rY2HCyAACoH3VYUFpDQ+PBgweCIIht6RNnZ+erV6927txZJPtz586doUOHlvHD5ubm6enp6tfjdXR0Jk6cmJycvHDhwlq1ak2ePPk9634/e/bs119/XbVqFWcKAIBaUpN7BJ88eXL27NlHjx6Jaq/q1asXExMjooOt+WGHWzzX2eWuWrVqISEhTZo06du373tmbefNmzd//nxOE+JRVFT0nz9RQqHKKTcnJ+ffhZZLfZVQ6Fvr+++fqFN9y6sz/7sUJbRzeQ0iVJQgaGNjI5PJunTpEhgY+PjxY/HsmK2t7cOHD0WyMzKZ7EPfsKStra3ey366u7uvWLFi0qRJkZGR//7XlStX9uvXz8zMjNOEeAwaNCg1NbX0t0hAQIByhny/fv1Kf1kWFRX169evoKBACeX6+vqW/rJMTU0dNGiQEgr9888/AwICSstNSEhQzmWNsLCwPXv2lP7vzZs3S96Gp2gbNmx4/b7hEydOHDhwQAnlTpkyJSEhofR/Q0JC/vzzT0UXqq2t/cYg8vX1Lf1fxSkoKHB3dy8dRDk5Oe7u7soZRKgQQbB27dqOjo6CINSvX3/v3r3i2TEdHZ3CwkLx7M+HprrCwkK1f0KiZs2a27ZtO3HixLJly17/+a5du8zNzdu0acM5QlTGjRtnZWV14sQJQRA6d+589+5dJbzbVFtbu1u3bg4ODjdv3izpM/Xq1VPCAgWGhoYWFhYuLi4lv6ednJy6deumhBfmtmzZ8vDhwyXhb8+ePbVr116wYIESDm6fPn2mTJnSr1+/klTk5OQ0adIkJZTr7e3dqlWrgICAkuQ9bNiwPn36KKHcSZMm1a5duyT7uru7b9q0STkvJn59EJX0LiUMIkNDw9atW5cOIgcHh9atW/OCYBGFA1Ukfc3XX3+dlJQklUoXL14cFBQkFZMhQ4aIZ2emTp36QZ8fMWKEtMI4ceLEpEmTCgoKSv43KyvrU7Ymg8I4OTmVnr4ePnyonEIlEom1tXVpudnZ2copNzs7u7RQa2triUSinHIvXrxYWq6Tk5PSDu7u3btLy/Xy8lJauf7+/qXlliwypRxeXl6l5V68eFG9B9HrnVmZgwj/SR1mBKdNm6ahoZGVlfX3338PHjxYVPsmqhk1PT29N4bie1y6dOmLL76oOH8RderUadSoURMnTix5NyB/qorWunXrSoOCEmYySicFg4KCSv7b399fad3D0NCwNKMEBQUpYTqwdFKwNCuUNrhyJgVLA/eiRYuUVu6UKVNK07ZypgPfqKOTk5NypgPLcRC93pmVOYhQIWYEpVLp6dOn9+/f/+rVK7HNM3l7e4tnZ27evLlq1aqyTwd+4qyYKoqLixs9enRxcfEnboc/MZUwn6G0mYw3JgWVPJNR8sebMqcDX58UVOZ04OuTgsqcDnx9UlCZ04GvTwoqczqwHAdR6UwE04GioqWcmz8UzdjY+PPPP9fT0xPbjh07duybb74Ryc5YWVkdPXq0bt26pqam7//jOCkpSUdHp3379hXt7yILCwszM7OffvrpE+8OZJ/fbUkAACAASURBVPVphXJycsrLyxs2bJgyC9XU1Kxevbqzs7O7u7syy9XV1dXU1PTy8nJ2dlZmuba2tkePHl23bp2tra0yy61fv/6mTZv27t37/tOU3Lm6um7dunXLli0furrCJ3JxcTlz5owypz/LcRCVdGY3NzclDyL8xy8sFX0s9I3dHj16dHBwsI6Ojtj2c9iwYVu2bBHP/uTn5/v6+k6fPt3e3v6tH5BKpZaWlhkZGfPnzxfbAt2Kk5CQ8Ntvv40YMaI0vt++fXvmzJkEQdFKTU21tLRUcqFFRUUFBQXKv6SVk5Ojp6entOvCr48LpV03FEO55dKpKlq5JQ8Oc11YVNRkHUGJRCLCFCh8+IO6ilapUqVVq1aFhoaGhoZKpdJ/fyAqKiojI8PMzKxatWoVJM3s2rUrNDS0f//+pT/x9PQ0NTXdunUrJwjRKpdfnNra2uXyC8zQ0FD5KVAQhHJJY+VYbrl0qopWrqGhISmQIFixiHCdJH19/SVLlnz22WdDhgz55Zdf3vjXM2fOzJs378GDB6XTY2osMTFx/PjxVapUWbRo0RuvpRkzZszdu3dv3bpFHwYAqDFtmkBxXrx4YWJiIs59a9OmTevWrTdv3uzp6Tls2LDu3buX3BkzadIkcc6tyldhYeHq1asfPXr0448/Ghsbv/UzAQEBQ4YM2bt3L9d5AQDqihlBBYqLi2vcuLF4j72m5siRI48ePaqhoTF16tS5c+f+/fffap8CpVLpvn37Jk+e/PXXXwcHB78rBQqCUKlSJW9v7w0bNtCTAQDqihlBBbp69aqbm5vId1JLS8vT09PT0zMrK+vQoUPbtm2rW7duw4YNS26HsrGxKa/7V+ROIpHs3bv36tWrvXr1CgkJKctXPDw8xo8f/+zZs6pVq9KfAQAEQXyAuLi4iRMnqsreGhsbe3t7C4IQFRX13XfflbzC9ejRo56enqp+IBISErZv3/7q1avevXt/6NtaZ82atWTJkhUrVtCfAQAEQbFWQ1u7uLhYS0tLPLtUVFSk5PWoPo5MJgsODvbx8Sn9iYuLy+XLl93c3HJzc48cOWJnZ/f6+4hUSEFBwfHjxy9cuGBrazt+/HgLC4uP2Ej16tVNTU1v3rwp5qv8AABU6CBoaWn54sULKysr8ezSlStXmjdvLv6m27x5c4MGDd74YY0aNcLCwi5fvty7d++5c+dqaWkFBAQYGRmpSn+IjY3dvHlzenr6999/v3Llyk982mPcuHHjxo3bt28f5wsAAEFQjKysrNLS0kQVBMPDw6dNmybydktMTHz48OFbV4qpX79+/fr1BUFYvXr1X3/9NWbMmFGjRrVq1UrM1fnnn3+OHTv25MkTe3v7mTNnyuvuRgsLCzs7u1u3bjVq1IhTBgBAnajJm0WOHz+uo6Pj4eEhkt2TSCTjx4/fuHGjyJtx7Nixy5cvf2MJvbcqLi5evHhxpUqVSt/OLh5RUVHh4eEZGRl169b19PSsUaOG3It48eLFwoULy36nICvOAABUgprMCNatW/fs2bPi2Z+jR49+++23Im+0HTt29O7duywpUBAELS2t2bNnHz9+fNKkScuXLy/32zELCwt///338+fPSySSzz//3NfXt3LlyoorzsLCoqioKDc3t4zNBQAAQVB5HBwcduzYIZ79+fXXX0X+grLs7OwbN2586CO03bp1q1Klire39+bNm3V1dRW3e++KXNnZ2REREZGRkbq6uu3atfvhhx+UtvDht99++/PPP/fr14+zBgCAICguWlpaxcXFItmZ8+fPt2zZUuQXB3/66afXnxQuu+bNm1euXHnGjBmKW1Hl8uXLf/zxx9y5c0t/kpmZefTo0ZiYGGNjYw8Pj2XLlim/edu2bTt27FiCIACAIChG4rnZcfv27evWrRN5c40fP/6jv1u/fv2OHTtu2bJl2LBhct8xqVQaFhZW+lbyGzdubN68WSaTDRw4cMiQIeXYYpqamiV/b4hqlSIAAAiCgiAIVlZWYngDxF9//VWvXj09PT0RNtHff/8dGRlZpUqVkum0Tp06ffQdb506dZo5c2ZSUlLNmjXlu5N//PGHm5vb1atXBUGIiIhISEgIDAw0NTUVQwN+8cUX169f//LLLzlxAADUg/q8a7hFixaXL18u991Ys2bNhAkTxNlEd+7cSU5Ovn379q1bt44dO6avr/8pW5szZ87SpUvlu4fx8fHVqlUrjdGdOnUaPXq0SFKgIAht27YV1TNJAAAQBP9HyWxN+e7Djh07OnbsWKlSJXE2kYuLy4IFC+bNm9eoUaPFixd/4m12hoaG7dq1O3HihLx2Ly8vLzY2Vsxr9dnZ2SUmJnLWAAAQBEVHR0enoKCgHHcgOTk5PDxczA8T1K1bVxCEGzdumJqaWltbf/oGe/Tocfz48U+8O1Mmk+3fv3/+/PnJycn5+fkHDx48efLk7du3b9y4wfgEAIAgWFY2NjZJSUnlVfqiRYuWL18u/lbavn17u3bt5LW1zp07Hzp06KO/fuXKlf79+xsZGfn7+9epU6dPnz69e/d2dnZ2cHBo0qSJCFvP2Ng4JyeHEwcAgCAoOp07d5bjlcoPcvXq1erVq8v9yQm5y8vLi4uLk+MGu3btunfvXqlU+qFfvHv3rq+v740bN7Zu3dq1a9fSnz969EhDQ6Np06a3b98WYQPWrl37wYMHnDgAAOpBW50q89lnn23YsEH55UokkjVr1mzbtk38TXTjxg35LgStqan5zTffhIeHd+/evYxfSUtLW7lypbm5+ZIlS/59P6Wtra2tra1oG7B27dqJiYmNGzfm3AEAIAiKjq2tbWJiYq1atZRZ6NKlS318fJT2iotPoaGhIfeY1a9fv/Hjx5clCL569SokJCQ7O3vSpEmWlpaq2MFsbGwuXLjAiQMAQBAUo/79+4eGhs6ZM0dpJd68eTM/P79Zs2Yq0T7Nmzdv3ry5fLepo6NTpUqV9y/iKJVKt23bFhsbO27cuDp16qhuBzM1NX3x4gUnDgCAetBUs/pYWVmlpaUp83VzixYtmjVrlqq0z969exWx2R49ehw9evRd/3r37t2BAwfa2dkFBQWpdAoUBMHCwiIzM5MTBwCAIChS3bp12717t3LKWrp0af/+/T9xZWZliomJUcRmXV1do6Oj//3zlJSU2bNnHzlyJDQ0tH379mrQuypVqiSRSDhxAADUg7b6ValDhw4DBgzo06ePohd2vnLlyvPnz6dPn043EgTB0tLy1atXJiYmJf+bl5cXHByclZU1ceJEFb0d8F0+cSFuAADEQ1MtazVp0qQ1a9YotIj8/Py1a9cuXryYPlTim2++KV27JzIycsaMGT169Pjhhx/ULAUCAEAQFDsXF5dHjx6lpaUprojAwMAZM2Zoa2vTh0q4urqWvuKvWbNmq1evLnmRCQAAIAgq2+TJkxX3no9bt25paGiI+a24yqehoaGpqVnymI6mptr2q+zsbPkuxAgAAEFQ/urUqaOpqSnft2iUkMlky5Yt8/PzU8Vm0dfXz8vLk+MGi4uLb926VfLfX3755Z9//qneAyY9Pd3MzIwTBwCAICh2s2fPXrhw4Ue8/ez9Nm3a5OXlZWRkpIptUrVq1ZSUFLlsKiMjY9WqVVOmTElNTS35iYeHx6lTp9R7wGRkZBAEAQBqQ51vcTM0NBw+fLh8Z++ePn1648aNkSNHqmib2NjYPH78uHbt2h+9BZlMdunSpePHj+vq6g4aNMjBwaH0n4yMjNR+seWnT59Wr16dEwcAgCCoAr7++uvz58+fPHnSw8PjEzeVlZVlbGw8adKkVatWqW6D2NrafvRSgnFxcQcPHnz58mWLFi3mz5//1tUTHRwcoqOjmzZtqq49KiUlxdXVlRMHAIAgqBpmzZrVu3fv2rVrOzo6fsp2AgIC/vzzz65du1arVk11W8POzu633377oK88fvz48OHDV69ebdSo0YgRI97zHjlBEDw8PHbu3KnGQTAxMbFXr16cOAAABEHVoKmpuXXr1rFjx65du9bU1PSjt5OUlHTp0qXo6GgPD48mTZqoaGsYGxtPnjz5Pz+Wm5sbGRl54cKFrKysqlWrenh4+Pj4lGUh5Xr16t28eVONu1Nubq6hoSEnDgAAQVBlVK5cedmyZePHj9+4ceNH/xZ/+vSpra3tzp07VTcFvkdmZua9e/diYmLi4+OLi4sNDAyaNWs2efJkY2PjD91U06ZNY2NjGzRooJZ9SSaTcdYAABAEVUz16tUDAgLGjBmzbt26j3jgt7i42MjIKDIy8v0XRsXv1atXz58/f/bsWXJy8qNHjxISEkqeqjYxMWnQoEHr1q2HDh36ia9Q69OnT3h4uFoGweLiYpYQBwCoEw0VneH4uN1OSEiYPXt2UFCQtbX1B31x9+7dtWvX/uqrr0RS9xcvXqSlpWVkZKSnp2dkZGRlZeXk5GRlZWVmZhYXFxcUFAiCoKenJwhCQUFByQLIGhoaBgYGxsbGlpaW1tbW1tbWtWrVUtD730aPHr1hwwb1Gy0xMTExMTEDBgz473HF+4gBAKqgYk1v2NnZLVu2bMiQIcuWLWvcuHHZv3jlypX+/fuXyz6/ePEiKirqzp07cXFxeXl5GhoaWlpaVlZWVlZW5ubmVapUsbe3NzExMTY2NjQ0NDIyEsOUlZ6eXl5e3lsfK1ZpUVFRzZs356wBAFAbFWtGsEROTo6fn5+bm1vPnj3L8vno6Ojo6OihQ4cqp2q5ubl//vnnpUuXnj59KpVKq1Sp0qhRI2dn5zp16pRM8onfoUOHKleu7O7urmajZcaMGYsWLSrLC/SYEQQAqISKeMOToaFhSEjI5s2bJ06cGBAQYGJi8v7PHzhwYN68eYoOf+fOnbt48eKLFy8MDAyaN2/u7e1do0YNBRX3008/DRkyRHHV8fDwWLFihfoFweLiYjV+jTIAgCBYgQwfPvzBgwe+vr6tW7ceNGjQu66o5ufnC4KgiKucUqk0Ojr69OnT8fHxhoaGX3/99dSpU5Xz+rKzZ88qNAgaGxtnZ2erWYd5/Pix4qI5AAAEQWWrU6fOtm3bIiIihg4d2r179169ev37il5SUlKfPn3kWGhKSsrJkyevXr0qk8maNGnSo0eP19/SphzGxsY5OTkKXQ/P1NQ0IyPjUxZuFJuIiIhOnTpxygAAqJOKeI/gW+3YsePQoUPDhw/39PRUxA7/9ddfYWFhN27csLGx6dGjh5ubm5aWVnm1XmhoqKur6+eff664Is6cOZOXl9elSxe1GSpTp05dvnx5WccV9wgCAAiCKhQEBUEoKCg4cODAuXPnqlat2rdv37I/VlxYWFiyRMvrJBLJX3/9deXKlXv37kml0gYNGnTo0EEkq+tdv379zp07AwcOVFwROTk5y5cvnz9/vnqMk8LCwnnz5i1evJggCABQJ6yO+7/09PQGDhw4cODA1NTU48ePb9++XVtb+7PPPmvatGm9evUqVar0xueLi4uPHTu2ZMmSgICAjh07Jicn//PPPyXv58jLy9PS0nJxcXFzc/Px8RHbEwbOzs4///yzQoswNDRUp9sEjx071q5dO8YIAEDNMCP4PlKpNC4uLjo6Oi4uLjMzs7CwUEdHp7CwUENDQyaTnTp1KiEhQRCEjh072tjY1KhRo06dOvXq1WvUqJGBgYHIG9DPz2/JkiUKLeL06dNqE54GDx68ZcuWsq/RyIwgAEAlMCP4PpqamvXr169fv/5b//X+/fv79+8PDw/v1avXsGHDaK43tGvX7vHjx+bm5uKPxe+XkJBgZ2fHy+UAAOqHGcF3Kvu7MaRSqcotL7d69epevXopbj0UmUwWGhrq6Oi4ffv2tm3bKnS1GkVbtmxZ79697ezsPmBcMSMIAFAFrI77Ths3brS2to6Njf3vRlTBRYadnZ3//vtvxW3/woULL1++dHNzW79+/cyZMyUSier2hMePH39QCgQAgCCo8lJSUlJTU6tWraqWtXNxcYmKilLc9uvUqVOnTh1BEHR1dYuKiqRSqYo21OXLl1u0aMFwAAAQBCuWly9famlpmZubq2XtjI2Ns7KyFLd9Gxub77//XhCE0NDQCRMmqMpbkv/tyJEj3333HcMBAEAQrFhycnIMDAzU+GYvJVTtwoULJSvwqWgTJScnm5mZ/XuRSAAACIJqrqioSL0fFLW3t4+Pj1fc9u/evVtQUODr6xsdHV1UVKSKTbR58+bhw4czFgAA6ooVMd5JS0tLReNLGbm6ul67dk1Bbzp++fLl6NGjq1atumnTpvz8/LCwMJVrn4KCgvT0dHW9SRQAAILg+xgYGOTl5alxBRs3bnz48GEFbVwqlfr7+5f8t7GxsSq2z86dOwcMGMBAAAAQBCsiMzOzoqKijIwMU1NTtaxgyVtSFLTxKlWqtGnTRhCEtLQ0CwsLlWsciUQSExPDdWEAgHrjHsF3sra2FgTh0aNHalzHypUrZ2ZmKrSI9evXP378WOVaZtWqVYMGDWIUAAAIghVUyRrCcXFxalzHr7/++ty5cwotwsHBITExUbWaJTk5OSEhwdXVlVEAACAIVlAlT1Hcvn1bjev45ZdfXr16VaFF1KpV6+nTp6rVLCEhIXPnzmUIAAAIghWXo6OjlpbW9evX1biOenp6BQUFCi3CxsYmJSVFhdrk8ePHenp6JTcGAABAEKyg9PX1GzVqdPHiRfVeRMbCwiI1NVVx27e2tk5LS1OhBlm5cuXEiRPp/wAAgmBF16pVq6ysLIW+k7fceXh4nDp1SnHb19XVlUgkqtIaFy9ebNy4sYmJCZ0fAEAQrOjatWsnCIJCc1K5a9KkSXR0NMdaEISioqJdu3YNHjyYpgAAEAQhuLm5aWtrnzx5Uo3rqKGhoampWVxczOE+cODA0KFD1fjt0gAAEAQ/QOXKlTt27Pjnn3+q1uMOH6p58+Z//PEHh7tdu3bNmjWjHQAABEH8j5EjR0ql0r1796pxHTt16qS4d82JWXJy8q+//nry5Mn9+/cL/38JcQAACIL4H127drW1td26dasa19HAwEBPTy89Pb2iHdz9+/d37tzZw8NDKpX+888/9HYAAEEQ/7eBNDWHDx8eGxt75swZNa7m0KFDDx48WNEO7vPnz/38/PLy8pKTk21sbOjtAACCIN4SkrS0tNavX6/GdWzSpElsbGxFO7Jz5sy5cuVK7dq1XV1d9fX16eoAAIIg3lStWrWePXuGhYU9fPhQjatpY2OTlJRUoY7sL7/8snr16oULFw4ePPjOnTt0dQAAQRBvMXPmzOLi4oULF6pxHQcOHLhjx44KdVhv3LjRtGnTYcOG7d27d9++ffRzAABBEG/h5OTUs2fPHTt23LhxQ13rWLVq1ZcvX6rQW0A+XXFxcUl9CwoK3N3d6ecAAIIg3i4wMFBTU3PYsGFq/Orhnj17yv2RkeLiYi0tLbHVNDc3VxCE2bNnHzly5JdffjEyMmrVqhWdHABAEMTb1a1bd8iQITdu3FDjpWS++uqry5cvy3ebKSkpFhYWYqvpggULBEGoXLny999/3717dxcXF3o4AIAgiPeZN29e5cqVFyxYoMZL7rm6ul69elWOG0xMTKxRo4ao6rh69erOnTvTnwEAIAh+gOrVq4eGhj579mzatGnqWscBAwbs2rVLjhuMi4uzs7MTTwWPHDliYmLi5uZGfwYAgCD4YXr16tW/f/9t27aFh4erZQW1tbU///zz06dPy2uDsbGxdevWFUntLl++fOfOHW9vb3oyAAAEwY+xevXqGjVqjBgxIi0tTS0rOHDgwE2bNhUUFMhla6mpqWZmZmKoV1RU1M8//zx79mz6MAAABMGPZGZmtnr16mfPno0fP14tK6ilpeXj47Np06ZP35RMJtPQ0BBDpW7fvr169epFixbRgQEAIAh+kh49evTv3//gwYPq+t65Fi1aPHz4MCMj4xO3Ex8fX69evXKvTkJCwrp16zZv3qytrU3vBQCAIPip1q1b99lnn/n4+Pz6669qWcFp06YFBgZ+4kauXLnSvn378q3IgwcPli5dGhQUpKurS78FAIAgKAdGRkaHDx82MjIaOHBgfHy8+lXQ2tra3t4+IiLiUzZy+/btzz//vBxrERcXFxQUtHLlykqVKtFpAQAgCMpN/fr1jx07lpeX5+np+elXUUVo9OjR+/fvf/HixUdvQSqVamqWWx+7fPnyhg0bVq1apaenR3cFAIAgKGetW7deuXJlXFzckCFD1K92Ghoa/v7+s2bN+riv371719HRsbx2/tixYwcOHAgKCtLR0aGjAgDwVlol79rCR3NxcXn8+PH+/fuLi4vVb5niypUrZ2RknD9//ssvv/zQ7+7cudPT07Ny5crK3+2dO3c+fvzY39+/vJ5ZFsmz0gAAvB8zgnKwfv16Dw+PhQsXfvrTFSI0cODAjIyMAwcOfOgXHz16VLNmTSXvrVQqDQgIMDAwmDx5Mj0TAACCoMJpa2sfOHDgiy++mD9//sKFC9WvgnPnzo2Ojr5w4ULZvxIXF6f868LPnj0bN26cp6dnz5496ZYAAPwnDZlMpor7LcLdfvHiRceOHW/cuLFixQpfX1816yhSqXTChAne3t6urq5l+fz8+fMnTZpkamqqtD08cuTImTNnAgICxPAiEy4NAwBUAjOCcmNhYXHmzJkWLVpMnjx5w4YN6tZRNDXXrFmzZcuWyMjI//xwbm5uQUGB0lJgTk7OzJkzi4qKgoODRfI6OwAAVAIzgnKWnp7eokWL+Pj43bt3f//992rWXYqLi4cPHz5gwID3LxO9ZcuWpk2bKmcFwbi4uAULFgQGBtrb24toXDEjCAAgCFbAICgIQmJiYrt27Z4+fbp//35PT0816zFFRUVz5861trZ+1+VvqVTq4+MTEhKi6D3JyclZtWpVcXHx9OnTxbZeNEEQAEAQrKBBsCQLdujQISkpKSQkZPjw4erXb3755Zfw8PAff/zx35diN27c6OjoqOiVdPbv33/p0iUfHx8HBwcxjiuCIACAIFhhg6AgCE+ePHF3d4+Li5s1a9YPP/ygfl0nKSlp3rx5PXv27Nat2+s/P3bsmELnQS9cuLBnz56ePXt26NBBvOOKIAgAIAhW5CAoCMLz58979OgRGRk5evTo4ODgcnzZmuJs27bt3Llzvr6+TZs2VWhBxcXFBw8ejIiIcHd39/LyEnljEgQBAATBih4EBUEoKCjw9PT8/fffvb29N23apJb5oLCwcPny5SkpKTNmzKhevboiIuDevXv37ds3YMCAvn37qsa4IggCAAiCBEFBEPLy8vr27Xv8+PEBAwZs2rRJV1dXLXtSSkpKaGhodnZ2165dW7duLZcZu7/++uvo0aPPnj3r0qVL9+7dtbS0VGZcEQQBAARBgmCJ4uLi0aNHb9261cXF5ciRIzY2Nuran/Lz83/99dfz588LguDm5ubm5mZsbPxBW0hPTz937tz58+dzcnKaNGny7bffVqtWTfXGFUEQAEAQJAi+7ocffliwYEH16tWPHTum6DvqlOnly5cXL1584wGR3NzcM2fOnD9/PisrS1NT09bW1sHBoUaNGpaWlvr6+pUqVZJKpbm5uXl5ecnJyY8fP46Pj3/+/LlUKrWwsGjZsmWbNm0MDAxUeFwRBAEABEGC4BuOHTs2ZMiQoqKi3bt3d+/eXQ06UHZ2dvv27aOioiIjI9/z9rnExMT79+8nJSVlZmZmZGQUFBRoamoaGhqamJhUqVLFxsambt26lpaW6jOuCIIAAIIgQfDfoqOjO3bsmJGRsWXLlkGDBql6B+rbt+/BgwfHjh0bHBzMcCIIAgBUC+8aVramTZteuHDBzs5u6NChM2fOlEgkqluXBQsWHDx4sGPHjsuXL+fIAgBAEMR/q1evXmRkZOvWrZcuXVp6gbioqKjkGQtVsXjx4h9++KFjx44///yznp4ehxUAAJXDpeFyI5FI5syZ89NPPz179uzvv/8+c+ZMRERERESESuy8v79/QEBAmzZtjh8/rtJPdShqXHFpGACgCrRpgvKio6OzZMmSzp07C4Lg7Oyso6OjEikwOzt7xIgRBw4ccHd3P3LkCCkQAACCID5S27ZtVWhvX7582aVLl2vXrrm7u4eFhXFFGAAAlcY9giirGzdutGjR4tq1a2PGjCEFAgBAEIRC5Obmimp/pFJpUFBQixYtnj17tm/fvpCQEFIgAAAEQSjE2rVrR40alZaWJoadOX/+vIuLy/Tp05s0aXL9+vXevXtzgAAAIAhCbu7cuRMREaGvr//zzz/n5+ebmppu3rzZ3t4+MDAwLy+vvPYqMTFxwIABbm5u//zzT2Bg4MWLFx0cHDhYAACoDZaPEanDhw9PmDDh2bNntra2QUFB3333nTJLz8nJCQoKWrJkSX5+voeHx4YNG2xtbRktHzCuWD4GAEAQJAh+iuzs7NWrVwcFBWVmZrq6uo4ZM6Z3796GhoYKLTQxMXHdunWbN2/OyMhwdHQMDAzs2bMn44QgCAAgCBIEy0F6evqaNWvWrl374sWLypUre3l5DRgwoHnz5vKNGtnZ2eHh4Tt37jx58qRUKnV1dfXx8enbt6+WlhaDhCAIACAIEgTLU15e3uHDh7dv337mzBmZTGZjY9OpU6f27du7ublZWlp+dBvGxsb+/vvvv/7667lz5woLC42MjPr06TN69GgXFxfGBkEQAEAQJAiKS2Ji4r59+44ePXr9+vWSRnB0dHR1dW3YsGHdunXt7e1tbGwsLCz+HUQKCwtTUlISExPj4+Pj4uJu3rx59erVly9fCoJgbm7eoUMHT09PT09PRV96VlE5OTnGxsa0AwCAIEgQFIXU1NRff/01IiLi9OnTqampr/+TlpaWqampoaGhrq6uTCbLz89/9epVVlbW/znwGhoNGjTo0KFD165d27Rpo63NO2bkOq6YEQQAEAQJgsqRkJAQGxsbHx+fkJDwGHAyaQAADvxJREFU+PHj1NTUzMzMvLw8iUSioaGhp6dnZGRkZmZWtWrVmjVr2tvbOzo6NmzYsHLlyjQdQRAAQBAkCAIEQQBAhcOC0gAAAARBAAAAEAQBAABAEAQAAABBEAAAAARBAAAAEAQBAADKX1FR0RtvWCiRmppaVFRE+xAEAXy8mzdvqmvVEhIScnJyVPSgqOivt0uXLqnibufk5CQkJKjinqempqpoJ/8gBQUFTk5O/fr1e6Oy69evd3FxUdFeRxB8Ow1AxNTyZPHq1StnZ2e1PJPa2Ng4ODgEBASo3G9Ka2vrmjVr7tmzR+XiYGZmpip2J0NDw5UrV/br10/l4qCZmdm3336rip38Qw9QUlJSvXr1jIyMXh8X8+bNW7duXa9evVTx2CmcDADKxt/fXxAEJyenixcvqlnVHj58WHJK9Pf3z87OVqE9Dw8PL0mEu3fvlkgkKrTnPj4+qtidJBKJk5OTIAheXl4PHz5UoT1//vy5tbW1Knbyj6usl5eXtbX1671LIpHs3r27pAVUa7AoFEEQUEMSiUTRf0M6OTnFxMSUz2lL8fz9/VXlQLwxQRgeHq6Ke+7k5CSvUJWdna3MPffy8nr+/LmqdOw3Orm8wpAqzoLJcbCoOu4RBNSQtra2QmcUrK2t/fz86tevr07XMby8vEp/tQ8aNEjMB+KNxFZyUARBGDNmTJs2bVRlz0tnYUu6k42NjbwuDipnFrYkv44bN87S0lJVLtCVzMKWdnJtbW01vrRYOin4euArmRS0traW42Dh0jCAijLL2KFDB1W8BFkWJReMVO5iX2l+VbmLfSX5VRW70/Pnz1X0BomS/KqKnfwjeldwcLAgCMHBwa/3rosXLzo5OXXo0EHtW+CDaBOFAZTFhg0bvL29+/TpI69ZBPFISEg4fvz4w4cP7ezsVGvP9+zZU69evezsbENDQ9Xa8ylTpgQFBalcdyoqKvL19b148WLLli1Vq8FTU1N37dqlip38Q504cWLYsGFubm6vj4uEhIRZs2adOXPm0KFDKnfsFE1DRa/uAwAAvJF3fX19Z86c2bhx49d/HhISYm5urpZ/xxIEAQAA8JF4WAQAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAgCNIEAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEA+H/t1qENADAQxDBSePtv+vg6RFXpgT1CUAAjCACAEQQAwAgCAGAEAQAwggAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBAAwghIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCABgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEADCCEgAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQCMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBAAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAC8OTOTRAhYpa0IAPx2AWWcw38BhkVNAAAAAElFTkSuQmCC)
9
49
(K9n
8
)
A knot diagram
1
Linearized knot diagam
8 6 8 2 9 2 5 3 5
Solving Sequence
2,8 1,5
4 3 7 6 9
c
1
c
4
c
3
c
7
c
6
c
9
c
2
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= hb + u, a − 1, u
3
− 3u
2
+ 2u + 1i
I
u
2
= hb + u, a
2
− au + 2u + 4, u
2
+ u − 1i
I
u
3
= hu
3
− 3u
2
+ 2b + 3u − 4, −u
3
+ 2u
2
+ 2a − 2u + 3, u
4
− 3u
3
+ 5u
2
− 6u + 4i
I
u
4
= hb
2
− bu + b + 2, a − 1, u
2
+ u − 1i
I
u
5
= hb + u, a + 1, u
3
+ u
2
+ 1i
* 5 irreducible components of dim
C
= 0, with total 18 representations.
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