![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA1gAAAPiCAIAAADtrOvsAAAACXBIWXMAABYlAAAWJQFJUiTwAAAgAElEQVR42uzdZ1wU1wPu8UFAOioorggWBEtUsAsxiY1oNLagUdHEXqMgYsWOvfztDRVrRGONkYjBQozBEhULqKjBgCCColKXtsDeF3sv14+igmzf3/cVLLtzZs6cM/twZuaMnlQqFRRDLBabm5sL0G2Ka2AAAKCc9PieBgAA0E0VqAIAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAABAlQw0dL2lUik7D2pLT0+PSgAAqD9GBAEAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAA0HQGVIGmS09Pf/LkSVJS0qtXrzIyMrKzs/Py8oqKivT09IyMjExNTS0tLStXrly9evUaNWqIRCJ9fX0qDQAACIKgp6ET8unyPIIPHz68evXqw4cPCwsLBUGoXLlynTp1RCJR1apVLS0tTU1NjYyMKlSoIJVKc3Nzc3Jy0tPT09LSnj9/npSU9Pz588LCQlntVa9e3cXFpUmTJjY2NvQEOfcr5hEEABAECYJydOfOnYMHDyYmJjo7O3fu3NnFxaWcY3sJCQnXrl27cePGs2fPTExM2rZt27Fjxzp16tArCIIAAIIgQVAtZGVlBQUFRUdHN2rUqHfv3iKRSBGl5OXl3b59++rVq0+fPhUEoUmTJl27dlVQWQRBAAAIggTBj0hKStq6datEIhk8eHCTJk2UWXRUVNSZM2eSkpJMTU2//vrrdu3aVajw9n1Ft27devXqlb6+fseOHelIBEEAAEGQICgfqamp69at09PT8/Lysra2VuGaiMXis2fPXrp0qUKFCl988UXXrl0rVqwoCEJYWFitWrUcHR0fPXr0559/jh07lr5EEAQAaBzuGlY7Fy9eDAwMXLRoUe3atVW+MmZmZn369OnTp09BQUFISMiYMWOqVavm5+d3+/btzMxMR0dHW1vb58+fs9cAANBEjAh+uvz8/BcvXuTn50ulUgMDAysrKwsLC9mfYmJijh07NnXq1DLdz5Gbm7t8+fIqVap4eXm9eypWTSQnJxsbG2dkZHTq1Kljx46tWrUaNGhQ8Ybj//YrRgQBAARBbQqCycnJ4eHht27dSk1NLSgoKCwslM3VUqlSpQoVKmRnZ6enp2dmZurp6RUVFcXFxYWFhbVr1+7nn38u5cBeYmKiv7//lClTGjRooP71n5qa+ssvv8TFxR0+fDgoKOjzzz+nLxEEAQAEQW0Lgv/999++fftu3rxZq1atr7/++ssvv7Sysvropzw8PH777TdBEEQi0YABA0aMGPHhuz1iY2PnzZu3ZcsWTRlaW7BggZ+fn5GR0aVLl3x9fS9fvnzs2LF+/fqp7UAmQRAAgHdxjWDJMjMzZfmvdu3a/fr1W7BgQZk+3r9//2nTpjVu3NjS0lI2bLZmzZrmzZsPHz7c3Nz8rTffvn178+bNGpQCBUHIyckxMjISBKFdu3atW7fW19e3sLCYPHmynZ3dqFGjqlSpQhMCAED9MSL4tsePH2/dujUvL2/o0KGtWrWS45IjIiJ27dolEom8vLwqV65c/Prx48f79OmjWWNpV65ciYiIaNmyZWJior29fdu2bWWvP3nyZOfOnXl5ecOGDWvUqJHu9itGBAEABEHNCoK5ubmLFy9+9erV3LlzbW1tFbTmd+7cWbly5TfffPPjjz9qeutJTk62sbF5N8JmZGSsW7cuJSVl+vTp9vb2BEEAAAiCah0E9+/fHxoa6uXl1aZNGyWsf3Bw8JkzZ6ZOnaoOc8QoLiZu375dLBaPHz9e155cRxAEABAENSMIPn36dP78+d9++62Hh4cyNyEzM3PZsmW1a9fW7tmYMzIytmzZkpmZOX78eDs7O4IgAAAEQXUJgnv37r106dLSpUurVq2qkg05f/58SEiIv7//uzeRaJNXr15t3rw5Ly/Px8enWrVqBEEAAAiCKg6CCxcutLa2njBhgpJXXiKRJCQkODg4yH6Njo729fXdu3evjY2Ndre25OTkOXPmtGrVavTo0WWaapsgCACAIujorG85OTnjxo1r3Lix8lOgIAjLli3LyMgo/rVRo0aBgYG+vr7JycnaXe0ikSgwMNDJyWnChAn//PMP3Q8AAIKgsmVlZY0ZM2bixIl9+/ZVfukxMTHZ2dnNmjV788WaNWtu2LBhypQpuvDc3s6dO2/ZsuX27ds+Pj5Pnz6lEwIAoCo6d2q4sLDwxx9/9Pf3d3JyUsmaT58+ffbs2ZUqVXr3T8+ePRsxYsSRI0d05NG9qampM2fO7NKli0oSuWL7FaeGAQCaQOdGBGfMmOHl5aWqFJiSkmJmZlZiChQEwdbWdu3atVOnTtWRfVGlSpVt27bl5uZ6e3s/e/aM3ggAgJLp1oigv7+/m5tbly5dVLLOubm533333fz5811dXT/wtjNnzkRGRupOHBQEIS0tbenSpW3atOnXr5+W9CtGBAEAmkCHRgQPHjxoZ2enqhQolUqHDBly5swZY2PjD7+zS5cuz58/v337tu7smsqVK69cuVIsFk+cODEnJ4duCQAAQVCe4uLibt++PXLkSFWtgL+//7FjxwRBKCws/Oib582bN3/+fLFYrFNtcejQoRMnTpw0aVJMTAw9EwAAJdCJU8OFhYU//fTTunXrTExMVLjOnp6eFSpUmDx5cqtWrT765jt37hw+fHjJkiW61iLz8vIWLFjg7Ozs6empwf2KU8MAAE2gEyOCixcvHj16tGpTYFZWVvXq1YOCgkqTAgVBcHFxMTQ0jI6O1rUWaWRktGzZMgMDg5kzZ0okErooAAAEwU8XFRUlkUhKGb8U58SJE+7u7mX6iK+v7/r163WzXX7//feDBw8eP358fn4+vRQAAILgJ9q2bducOXNUvhrBwcGdO3cu00csLS1tbW0jIyN1s2k2bdp02rRpkyZNSk9Pp6MCAEAQLLNz5861b9/+ozfqKlpKSoqlpeUnnJv29vZetGiRzrbOBg0azJ8/38vLi9tHAAAgCJbZr7/+qg5T0505c8bDw+MTPli5cuUmTZpERETobAMViUTbt29fvHgxM04DAEAQLIMrV640b95cHe7fvHr1alnPCxebOHFiUFCQLrdRY2PjDRs2LFiwgCwIAIB8GWjxtm3ZsiUwMFDlq1FUVFRQUFCxYsVP+7i1tXVRUVFmZqaOPIC4RJaWlv/73/+8vLzmz5/v4OCg/BUQi8W6XP8AAIKghrl///5nn31mZGSk8jW5efNmixYtyrOEXr16/fbbbz/88IMut1RLS8uAgICxY8du2bLF3NxcyaWbmZkVFRWV/v3MIwgA0Ahae2r46NGjo0aNUoc1OXv27Ndff12eJbRv3/769es0VhMTk6VLl86cObNMmQwAAOhcEExLS6tWrZo6rElcXFydOnXKswR9fX1LS8vs7Gzaq52d3ciRI318fDT0iTgAABAEFS4iIkLlM0jLvHjxwtrauvzL6dKly5kzZ2ivgiA0b978u+++W716NVUBAABBsATlPxsrL7/++mtZHyhSIjc3t6tXr9JeZTp27FhUVKTLs+oAAEAQfK9Xr16pyXnhc+fOtWvXrvzLMTAwKCwspL0W8/X13b59e05ODlUBAABB8P8rKCgwNDRUhzVJTk62traW153LNWrUSEhIoMkWJ+Pp06dPnTqVqgAAgCD4/929e9fJyUkd1iQ4OHjgwIHyWpqbm1tYWBhNtli9evVatGjx+++/UxUAABAE/6/r1687Ozurw5rcuHGjffv28lpas2bN/vnnH5rsm0aOHBkSEpKfn09VAABAEBQEQYiKimrYsKHKVyMlJcXKykqOEwubmJgwg8y7JkyYsHnzZuoBAACCoCAIQlZWlpmZmcpX48iRI3379pXvMq2srNLT02m1b2rcuPHTp08zMzOpCgAACILq4saNG3Kfy7BZs2bR0dHU7VvGjh27cuVK6gEAAIKgWggPD2/evLncF9u8efP79+9TvW+pX79+Tk4Ot1QDAKDrQTA/P9/Y2Fjlq7FmzZrhw4fLfbENGzaMjY2l1b5r+vTpO3fupB40ixyvoKVcNpZyKRcEQUEQhJycHJVfIHjx4sU2bdqYm5vLfcmGhoYSiYRW+y4bG5vMzEwqBwAAnQ6CBQUFBgYGql2HvXv3ent707aU7Ntvvw0JCaEeAADQ3SBoYGBQUFCgwhUIDQ1t166dqampgpbPwPj7dOzY8eLFi9QDAAC6GwSNjIxyc3NVVXphYeGePXuGDRumuCL09PSkUikNt8SaMTIy4unDAADobhA0NjZW4azL8+fPHzt2bIUKCqzVKlWqvH79moZbog4dOnB2GAAA3Q2CgiCoasDst99+MzMz69Chg0JLqVat2suXL2m4JWrfvn1oaCj1AABAKRlQBXLx/Pnz4ODgwMBARRdUuXLl1NRUKrxERkZG+fn5UqmUKykBANDRICibY8XQ0FBpJWZnZ8+bN2/VqlVKKKtHjx6knA9o0qTJo0ePGjRoQFUAAPBRWnhquFGjRjExMUor7vXr1+PGjZs9e3aVKlUUXdaFCxeCg4P//vvvffv20XZL9OWXX964cYN6AABAR4NgixYt7t69q5yyxGLxpEmTVqxYUatWLSUUFxERERAQsGfPns8//5y2WyIXF5dHjx5RDwAA6GgQbNWq1b1795RQUFJS0uTJk5ctW1ajRg3lbFqVKlVCQ0P37Nnj6OhI2y2RsbFxXl4e9QAAQGlo4TWCpqamYrFY0aWEhoaePHly1apVlSpVUtqm5ebmhoWF5eTkiMXi/v3703xLxDWUAADobhAUBMHMzEwsFivoocMFBQUrV660sbHZvHmzkrfLw8NDJBIJgtCzZ09HR8cWLVrQgt9FtQAAUEoVtHKrvvrqqwsXLihiybGxsZ6enu7u7qNGjVLyRhUUFPz888+FhYWCINja2l69epXmW6Lvv/+eSgAAQHeDYLt27S5duiT3xe7atSswMHDXrl1t2rRR/kbl5ORcvny5qKhIEITnz5/Xr1+f5gsAAMpDO08NGxkZSSSSgoICAwP5bODdu3e3bNkyYMCAESNGqGqjLCwsxo4de/bs2efPn7dp08bd3V2XG65YLP7vv/8SExOTk5OzsrJkD5iuWLGiqalplSpVRCKRvb19zZo19fX16eQAALyPnqoeyFZOH13tU6dO5eXleXh4lLMgiUSyZMkSiUQyZ84cExMTlW94fn6+np6eMqfLVh9xcXFnz579+++/MzMzLS0tGzVq5ODgYGNjY2NjU7FiRSMjI6lUmpWV9fLly6dPnz5+/PjJkyepqam1atX66quvOnXqpMzberhhpZS1pJLjj06VSyVTLuVCR4OgRCIZPnz4/v37y1NKcHBwSEjI2LFjmzVrpiYbnpGRkZCQ0LhxYx1poAUFBRcvXgwNDU1LS7O3t2/Xrl2bNm3KdBtQYmLi1atXr169mpGR4ejo6OHhUa9ePYIgQZAgSLmUS7nQ5iAoCMLWrVtdXFw+be7le/furVq1qnPnzoMHD65QQY2upPz3338vXrw4cuRIrW+aDx8+3Lt376tXr9q3b9+tWze5PLjl4cOHx48fj4mJ+fzzzwcOHKig+8oJgnyXEAQpl3IJgprCQIu3beTIkdOnTy9rEMzNzV20aFFqauqmTZvMzc3VbaMkEknFihW1u1Feu3Zt9erVdnZ2U6ZMsbW1LevHDx486OnpWeKfGjRo4OfnJwjC6dOnf/zxx86dO48dO1ZeF5ICAKBxKmjxtlWsWNHOzu7x48el/8i5c+dGjx7do0ePLVu2qGEKFAQhPz9fi4PgtWvXxo4d+9dff23fvn316tWfkAIFQYiMjPzoe7p163b8+HEHB4fhw4fv2rVLdi82AAAEQa0ybty4Uk77HB8fP2rUqEePHu3du9fNzU1ttygnJ0cd7lmRu4cPH3p7e9+8eXPt2rXTpk0rz40dpT9x0K1bt59//tnW1nbo0KFXrlzhcCAXKSkpKilXCc8TeldBQUFBQYHulKuSSta1RqVr5aqwMaukXIKgspmbmzdu3Pj8+fMffpts/GnFihU//fSTWl0R+K7s7GxTU1Nt2kcvXryYOXPmyZMnV65cOW7cuHJuXV5eXllHTL/55pvAwMCLFy/6+vpmZWVxUCjnF7aNjc3ChQuV/I0SFxdnbm5+4MABJR/Zz5w5Y29vf+DAASXXc0BAgL29vSJmS/2wWbNmubi4xMXFKblcZ2fnQYMGKbncgoICR0fHSZMmKbkxp6SkmJubL1y4UMmNOSoqSoWdKCQkRMmNavXq1S1btlR+J1JHUs1UVGoFBQV9+/YVi8Ul/vXVq1fff//9/v37izTEyZMn//777yJt8ccffwwdOjQxMVFeC7xx48aePXs+7bN3797t2bNnTExM+VdDqsOysrK8vb1FIlFQUNCH3ynf48+LFy88PT1FIlF4eLgyy42NjXV2dnZ2do6MjFRmueHh4c7Ozp6enrGxsUorVCqVBgUFiUQiT0/PrKwspZUrkUiCgoIEQfD395dIJMos19/fXxCEoKAgZZablZUla8xK7kSyR2c5OzurqhN9uDErohPJGvOLFy90+aCt/UGwqKgoKipqwYIF775+8+bNwYMHP3r0SIOS0y+//BIREaEFEfDVq1dTpkwJCAgoLCyU42K3bNlSnvpJSUkZNmzYsWPHCILlP7K7u7t/OB4p4h9RWTxyd3f/wDeKIso9derUR+OR3Mt9Mx69r1xFbGxxPNq4ceP74pEiyi3N/xiKKLc0/2MootzSxCPFdaIP/4+hiHJL8z+GQjvRh7M+QVCzg2BRUdGmTZvCw8PffCUwMHDy5Ml5eXmalZ8CAwMfPnyo6SnwwoULEyZMePbsmdyXPHLkyPLv07Vr165atUrHg6AcTzu878he4jFdjuV6e3uXeGRXdLkbN24s/XeYHMstMR6VWKhEIpFXoSKRqMSsX2K5crz04n3xSNHluru7lzh6pOid6+npqZLG/L54pJLGXGK5cmzMgiCcOnVKB4Ogll8jWGz8+PFvThq3fPnyzMzM1atXa9wjOrKystTzduYyXZnx119/bdy4USQSyX3h+fn55d+nkyZNsra2XrZsGReNyGX8pkePHkZGRkort3j8pmvXrqWfG0iOg6Dt27dXZj0XD4KWfqosAwMDeQ2CduzY0cHBoZTlmpmZyWX8RiQS9e3bt1q1asosVzYI2rt379LPaSrfTqTMxlzciTp37qzkTiQbBFVyYy4eBP3ss8843GvtiOBb4z2HDh3S0LG0xYsXp6WlaejKyw5qp06dUtDyo6OjV6xYIa+lbdu2rcQrCjg1XPpv6w+cslTQWZ6PnrJURLmlvCxS7uWq/JSlSs77K/+UpcrP+yuzMZfyskhFdKLSXBYp93Jll0WW5tpiTg1rTxDcvHlz+a8AUyE/P7+CggJNXPPHjx+PGjUqPj5ecUVs3LgxOjpajgs8fPjw7NmzCYKfNkCl5Ou+S/NtLfdyS3OVnoLKVdVNDCq5E6j039ZadhODksst5Z1AiutEH71KT47lZmVllbITaT3deqbC8ePHJRLJd999p7mbUFRUpOYT3JTo2rVrGzZs2LZtm+Ke6iYIQmxsbIMGDeS4wH79+qWnp+/atWvEiBHMMFDKmS/69et39OjRdu3aKbPcuLg4Pz+/K1eu1KlTR8kzX/z++++xsbFKLjcgIODBgwdZWVkK7VDvmjVrlrW1dUJCgpKfx+Pm5rZ69ep9+/Yps9yCgoLevXsvW7ase/fuSu5EP/30k/I7UVRU1IoVK1TViV68eFH6c/3yukjp1atXyu9EakibnzX8lqtXrx4/fnzlypUavcP8/Pw07tq1sLCw8+fPL1y4UF9fX3GlSCSSefPmKaJyZsyY0b179zJd+MWzhktZS1Iek8rGUi7lqn252k1XbhZ5/vz5nj17VqxYIfs1MjLy559/Zvcrwa+//nrjxo0lS5YoNAUKgvDnn3+WKauV3tKlSwMDA+/evcveBAAQBDXSzJkzFy9eXDxO4+zsrKent2TJElqAQgUEBCQlJU2fPl0JZYWFhXXq1EkRS9bX19+xY8fatWtzcnLYpwAAgqDmxZFvvvmmatWqb774ww8/uLq6Tp06taioiHagCJs3bzYwMPjpp5+UUJbsiuOyPlyu9IyNjWfOnFk8ogwAAEFQM8THx//9998DBgx490+dO3fu37//6NGj4+PjaQrydfDgwYoVK44aNUo5xZ07d87NzU2hRTg5OVlYWFy9epWdCwAgCGqMFStWrF279n1/bdOmzYYNG7Zs2XL06FFag7zs3bv39evXo0ePVlqJv/zyS48ePRRdio+Pz6ZNm9LT09nFAACCoAaIjo4WiUQ2NjYfeI+Zmdny5ctzcnLGjBnz+vVr2kQ5HTly5NGjRxMmTFBaiS9fvrS0tDQ2NlZ0Qfr6+v7+/uvWrWMvAwAIghogICCglInkxx9/nDdv3uLFi/fv36+2d6cXFhYqefqusvrnn3+uXLmi5Ltwjh07NnToUOWUVa9ePT09vYSEBI4dAACCoFqLj483MzOzsrIq5fvt7OzWrFlTs2bNcePGHT16VA3jYFpamjpPfXn//v0dO3asWrVKyeVGR0c3a9ZMacX5+Phs3LiRYwcAgCCo1jZu3Dhs2LCyfqpjx47btm0zMDAYPHjwuXPn1GqLMjIyLCws1LO2k5KSfH19161bp+j5At8SFxen5HnwLS0trays/v33Xw4fn6agoOCjryii0HdLEYvFyt9Y5Wzvu5tWYg0op1xtbVQlbq8SGpWudaISi1DO/iUIaracnJz//vuvfv36n/bxPn367Nmz58WLF15eXnv27MnOzlaHjTIwMGjcuLEa1nZubu60adP27Nljbm6u5KKPHDny/fffK7nQMWPGKH/gU2tMmTIlLi6u+NdNmzb9888/Sih3yJAhKSkpxd8ikyZNKv5VcfLy8gYNGlT8pSUWiwcNGqSEjU1JSZk0aVJxuSkpKUOGDFHChSW3b9/etGnTm/+nTZkyRQnbe/jw4ZCQkOJfL126FBAQoIRyZ82aFRUVVfzrgQMHfvvtN+U35oULF6qkEymnMQuCoJJOpEM09BnJRR9z+PDhI0eOFMnD9evXZ86c6evrGxISkp+fX9aP37t37/Hjx0WKlJSUVKQ6hYWFY8eOvX//vkpK9/b2Vkm5y5cvv3nz5vv+KsX7xcbGCoIge8y8u7u7s7OzcsoNCgoSiUTh4eGCIDg7O3t6eiqnXH9/f5FIJNtqkUgUFBSknHI9PT2dnZ0FQTh16pQgCOHh4cop19nZ2d3dvXgXx8bGKqFQiUQiEom8vb0FQfD39xcEISsrS2mNWXatiKenp0gkkkgkSihX1oxle1ZVnUgkEvn7+2t3J9IRWhsEx48fn5eXJ8cv/vz8/NOnT0+bNs3X13f37t2JiYml+ZREIvnmm28uXbqkiCySm5u7Z8+eFi1ajBs3ToVB0MfHJzQ0VCVFnz9/PigoSCVFi8Vi2WzkBMFPyyjF/4sqLaDIskJxucoJKFKpNCsrq7hQpQWF4owio7SgUJxRZJSWtmUZpbhcpQWUtxqzMgOKLOWrthMpJ22rsBPpCE19fvNHV3v8+PFbt25VUOnXr18/ceJEQkJC1apVO3To4ObmVq1atRLfeeLEib///rtfv37lnO5YLBbHx8c/ffr02bNnT58+TU5Ofvny5ZUrV2S3r4pEIldXV0NDw9zcXEEQDA0NCwsLjY2N69Wr16xZMzc3N1tbWwVVxdatWw0MDJQ5ZeCbRo0atWHDBlNTU5WUPmfOnBkzZpR41WbxwwxRori4uLp168oCyp07d5RW7oEDBwYPHiwLKAcOHFBauQsXLpw/f74sKCjzrNagQYMOHjwoCwrt2rVTWrkuLi6RkZGytK20S3gLCgrs7e2Tk5NlAUVp99UVN2aRSJSQkKC0iR0uXbr0xRdfqLAT+fv7z5s3T+s7kS7QziB49+7dCxcuTJw4UdGrkZaW9s8//9y6dSs1NVVPT09PT6969ep16tRp2bKlvb39w4cPCwsLf/755169er0vCMr+10lPT3/58mVKSsrLly9fv36dnJycnp4ulUoLCwsNDQ0FQbC2tra1ta3+/9jY2JiYmGRnZ4eGhspucH73W62goCAuLu7u3buRkZHPnj0zMTHp2rWru7u7HI9T169fP3r0qKoevPb69esFCxZs2LBBVY3wzp07ERERI0aMIAh+ckZRckApzgrKDCiyf+TMzc2VHBSKM4qSg0JxRlFy2i7OKEoOKMWNWfkBRRa4VdWJlJm2VdiJCIKaGgQDAgJcXV2VOaVIseTk5Li4OCsrq3r16p09e/abb77x8/OTBcHdu3c/evTo3cRgbm5uYWFhYmIiEoksLS1FIlG1atWqVKlS+kILCws/eq9udnZ2SEjIxYsXra2tR40aVbNmzXJuaUJCwpw5c3bu3KmqPrlt2zZXV1cXFxcVtsPJkyeX+NwagmBpMkrv3r2VHFBkWeH3339XckCRjWc4OjoqfyRj0KBBEyZMUGZQKM4ov/32m5Lv6JdllJiYGCVPsxUXF+fm5qb8gHLp0qWffvpJJZ0oJiZGyWlbhZ2IIKiRQdDLyy4tnrcAACAASURBVEv585i85fDhwyKRqGLFilu3bv3iiy88PDysra3VoeqeP3++fPlyExOTmTNnWlpaftpCsrOzPTw89u3b9+GntqgkhCnT0qVLR4wY8eZFMwTB0ktJSXnfNRUKzQqpqanKL1csFhsZGSn/vyaVVLIOlqv8eaxUWG5BQUFeXp7yJ7VVVSfSeto5fYxUKlVtChQEoWPHjra2tlWrVpVIJJUrVzYyMir/Mo8dO/bq1atyLqR69epr164dNmzY/Pnzf/nll09byLRp01asWKHCFPjy5cuqVauqvKX17NlT+WNLWkMlX9gGBgYqKdfMzEwlX2Aq2VgdLFclKVBV5RoYGKjk0Qaq6kQEQXz68cjR0TExMTEvLy82NvbNm54+WWRkpEQikcvq1a9ff+3atZUrVx49evS7J6w/bPXq1d27d1ftOdnjx497eHiofC83bdr05s2btHYAgIbSwnCdmpr6yWc85a59+/bt27eX19IkEons3hF5+eabb9q3bz9t2rTu3bt37979o+8fM2ZMt27d0tLSvv32W9VW7MOHD8eMGaMOu7h27dpJSUk1atTgaAIA0DhaOCIYHx9f/jsh1JNEIpH7wLiJicmmTZv++++/mTNn5uXlfeCdDx482Llz58CBA1U+FJedna2qKWPe1a1bt7/++otDCQCAIKguQVBbh2ekUqmC7kKYOHFi//79R44c+fTp0/e9R/bopKpVq0ZERKi2Hk6ePNmpUyc12Slubm7Kv2sPAACCYMnS09PV59SwfBUVFSnudtQWLVps2rRp7ty5Fy5cePevEonk3LlzGzZsiI2NHTVqlGrr4ezZs7KZVNWBvr5+YWEhhxIAAEFQLbx69UolNzQph0LnJalcufKOHTuOHDmye/fut/7k4+OzatWqCRMmVKxYUbU1IHv0uHyvlSwnIyOj/Px8jiYAAIKg6uXm5qrPBWTypYTBJwMDg82bN2dmZq5Zs6b4xezs7O+//14lE3S/6+bNm59//rla7ZcGDRo8ePCAowkAgCCoekVFRSqfRFBxKU02HqZo3t7ezs7OEyZMSE9PFwTB1NS0Q4cOalIJ4eHhXbt2Vav90qRJk3v37nE0AQAQBFVPX19fXpPtqWEQVNrlaO7u7jNnzvzpp59SUlLUqhKeP39uZ2enVqvk6Oj4+PFjjiYAAIKg6pmbm4vFYq3cW8bGxrm5uUorzt7efuPGjfPmzbt79y5d5cNNTi4ThgMAQBAsL2tr6+zsbK3cW6ampsoMgoIgWFlZbdq06dChQ0FBQepQA3l5ecbGxmq4a3i4MACAIKgWzMzMMjMztXJvmZiYKCcIFhQUbN68Wfazvr7+okWLXrx4sWjRIpXXgKqe7A4AAEFQM9SsWfPFixdaubcsLS2Vk3EXLVr01t0hkydPrlu37rJlywiCJZowYQJHEwAAQVD1atWqlZqaqpV7q0qVKhkZGYouZd++fZ999lnjxo3fev2HH35wcHDw9/dXYQ0kJiaq4fMDExISLl++fO7cOalUyjEFAEAQVCVra2ttPTVcqVIlRW/a8+fPIyIiBgwYUOJfBwwYYGdnd/DgQVXVwMuXL6tVq6ZWOyU5Ofmff/7p37//7du3fX19OaYAAAiCKqatAzPVqlV7/fq1QouoXr36+vXrP/CGkSNH3rx5Mzk5WSU1kJmZqW7PD/z111+vXLkiCMKkSZN27drFMQUAoEEMqAINUr169ZcvXypiyY8ePYqLi0tJSalZs+ZH546ePXv28uXLly9frvwaKCgoULfZwn/44QdZOk9OThaJRLRSAABBUMUMDQ0lEolaPY5WLiwtLRU0RaK3t/euXbtq1KhhZ2f38OFDc3PzD7y5cuXKlpaWCQkJ9vb2Sq6BvLw8ddspFhYWFhYWUql0zpw5gYGBHFMAABpEO08NOzo6/vvvv+zd0vPz87OxsZFIJPr6+qWZqK9v374HDhyg3ooFBgZ6e3t/+eWXVAUAgCCoYo0bN+ZhGGXSvn37W7duLViwYM+ePQYGHx8nbtCgQXR0tPLX09TUVNFXSX6CS5cuubm5tWzZ8q+//qItAQA0iHaeGm7atOnJkyf79++vfZuWn5+voCW3bt3axsZm3Lhxbdu2NTMz+/j/EBVU8F9EtWrVUlNTrays1GePXL16dciQIbIaq127dvv27TmsAAA0hXaOCBoZGanhxWRyUVRUVFhYKN9lSiSS3377TZZj8vPzjxw5UppPqeShajY2Ns+ePVOrPeLq6vr48ePIyMjIyMjg4GCOKQAAgqDq6enpFRUVad922dnZPXnyRL7LjI+PL54mOiMjo5QzNqtkjh57e/unT5+q4X7hmlQAAEFQjTRp0uTGjRvat12Ojo4xMTHyXWa9evUWLFhw8uTJHTt2DBw48Ouvv/7oR/Ly8ipWrKj8za9fv756Ri5mEAQAaCKtnUfQzc3t0KFDbdq00bLtcnJyunDhQpcuXeS72F69epXp/deuXWvXrp3yN9/Gxub58+fqtlNSUlKsra05mgAANI7WjgjWq1fvwYMHWrldch8RLBYcHCyRSErzzrCwsB49eqikBtTwsTH//vuvk5MTRxMAAEFQjSjuORwqZGRklJubq6CFp6enX7t27aNvKywszMjIqFKlikpqoFKlSqmpqWq1U+7du9e4cWOOJgAAgqAa+e6770JDQ7Vwnyls3pZOnTpduHDhzVckEolsBO7NO29+//337t27q2rz27Zte+7cObXaI48fP65Xrx5HEwAAQVCNuLm53b59W/u2q0aNGnFxcYpYsq2tbVpamuznQ4cONWjQwNjY2NLSctCgQa6ursXDq+fPn+/UqZOqNv+LL744f/68Wu2RoqIilUymAwAAQfC9ZN/N2jeJTLNmzS5fvqyoBvH/hhtbt26dlZXl7u5ev379Q4cORURETJ8+XfanefPmqTD3VK1aNSkpSX12R05OTmkeygcAAEFQ2dzc3BSXmVS4URcvXlTQwmvXri27GcXBwSExMTE0NHT16tUdO3a0tLTcu3fv3LlzZVFMtTXw+eefR0REqMnu+PPPP7Xv5nQAAEFQG3Tp0uXs2bNatlFWVlaKe7pGgwYNoqKi3nylQ4cO586dS0hIcHV1Xbp06cyZM1VeAx4eHupz9ecff/zx1VdfcSgBABAE1Y65uXlmZqb2bZednV1iYqIcF5icnCx7KJ+jo+O9e/dKrMng4ODmzZuvWrVqwoQJcn/MXZk4OTkp6CrJspJKpWlpaZaWlhxKAAAEQXXUvHnzS5cuadlGde/e/c8//yz9+9+8FzgjI+Ps2bOhoaE5OTmCIIjF4v/973+bN2+WzUpTq1atx48fl7gQKyurnTt3du3aNSAg4Ntvv1XthXq2trbyjcKf5sqVKx06dOA4AgAgCKqp3r17BwUFadlGdezY8fLlyxKJ5KO3wkRFRe3evXvy5MnFr8yaNatDhw7t2rWbNWuWIAjbtm3r2rXrokWLKlWqJAiCnp5ednZ2iYvdsWNHUFDQqVOnxo4de/bsWRcXl7CwMFXVQM+ePYODg1W+I0JDQ/v27ctxBABAEFRTlpaWRUVF2nSCOC8v78iRI2fOnLGzs/voYzaaNm06fPhwIyMj2a/37t0rLCw0NDQ0NzdPTk5OSUnx9fVt2rTpmx9xdXW9cuXKm69kZ2fPnDnzp59+MjU11dPT27Jly9KlSzMyMrp16+bv71/Kh5HIV8uWLW/evKnyfZGRkSEL0AAAEATV1MiRIw8fPqw1m2NkZHTz5s3Y2FgTExN9ff0yfTYiIqL4gjZzc/Po6Oh33zNixIgTJ068+UpgYODGjRuLiopEIpHslRkzZty4caN58+YLFy5s1qyZSk6+V69ePT4+XoU7Ijw8/PPPP+cgAgAgCKq11q1bv3UnrKZbv3597969a9SoUdYP5uTkFM8UWKFChRKfVlepUqXPPvvs+PHjxa+4urr26tVr8uTJbdu2LX6xSZMm4eHh8+fPj4mJ6dChg5+fn+x2E6UZNGhQQECACvfCiRMnevfuzUEEAKC5DHRkOx0cHGJiYhwdHbVjc/T09Pbu3Tty5MiyfrBSpUrFZ3IlEomFhUWJbxs+fPjGjRuHDRvm6Oj45MkTU1PTffv2GRoavt16DAzmzZvXu3fvgQMHrly5MjQ09NixY3Xr1lVOJTRq1CgqKqqwsLCsw6Jy8fr1axMTk4oVK3IQAQBorgo6sp2enp4HDx7Upi2ysLCoW7du8RPh3lJYWBgWFvbuPR9vPikuNTX1s88+e9/yvby8tm/fPmDAgOXLl69fv/7dFFjMxcXl2rVro0aNunPnTtu2bZU5w1+fPn1UNU/kunXrhgwZwhEEAEAQ1ADVqlVLT0/Pz8/Xpo36/vvv37ohurCw8O+//54zZ86MGTOysrIqVKgQGxsbFBSUn59//PjxtLS0OnXqNG7cOCIiIiwsrFOnTh++0aFixYpOTk7W1talSaXbtm0LDQ01Njbu0aPHwoULP3oXi1wMHjz45MmTyq/55OTktLQ0JycnjiAAAI2mp5wvbLn7hNU+f/58YmKilo3ivDnS+b///S8qKqpTp04eHh7vO+cr8/Tp04oVK9rY2Mh9fZ49e+bu7h4XF5edna2cGvD29l66dKm5ubkyq93f33/UqFE1a9Z8b79S3bOYAQAovQq6s6kdO3Y8ffq0hgbf92nVqlVkZKTs5/Hjx+/du3fo0KEfToGCINjZ2SkiBQqCYGtre+HCBVdXV9mvhYWFij5127Nnz2PHjimzzl+9epWXl/eBFAgAAEFQ/Ta1QoXBgwffv39fo7ciIyPjxIkTO3fulP06atSo4plxzMzM1GENbWxsTp8+LQhCVFRUcHDw3LlzFVqcu7t7mR6yUn5r166dNGkSxw4AgBYw0Kmt7dGjh4au+cuXL3/55Zdr165VqlSpZ8+e3bt3l71eqVKlnJycgoICAwM12pWy+aubNm3atGnT5cuXK7QsPT09GxubhIQEe3t7JWzagwcPTExMqlevzrEDAKAFdOgaQZmTJ09euHDB0tJST09PT09v1qxZahWh3pKenn78+PHIyEgrK6sePXo0b9783fecP38+MzOzT58+6rkJrq6uV69eVWgR169fDwkJmT9/vqK3paCgYMiQIdu3b//oJYlcIwgA0AgGurbBGRkZX3zxhWwu5SdPnqhtCnzw4MG+ffsMDAz69u07fPjwD7yzU6dOo0ePVtsgqAStW7eeM2eORCL5wBw3crFu3TofHx8l35gCAABBUG7c3d1lz0kLCAjw9fVVwzWMi4vbsGFDrVq1Zs6cWfw4uA/Q09NzcnK6c+eOi4uLzrbjfv36nTlz5ttvv1VcEbdv3y4qKmrTpg1HDQCA1qigaxssS4EnT57s0qWLogeQPsGOHTtWr17t7+/v4+NTmhQo8+OPP27cuFGX2/HAgQNPnTqluOVLJJL169dPmTKFQwYAgCCo8UJDQx0cHNRqlXJyciZPnmxjY7Nx48aPzv/yFltbW4lEUvzIEDXx4MGD3bt36+vrnzhxQtHTClpYWOTm5hYWFipi4VKp1NfXd+rUqSp5lh0AAARBeYqLi3v16pVardKLFy8mTZrk6+vbu3fvT1uCt7f3vn371GqjGjZsOHz48EuXLvXp08fU1DQkJOTZs2eKK659+/YXLlxQxJJXrlzp4eHRuHFjjhcAAIKgxrt9+7ZaXe//4sWLcePGLVu2rDwToLRs2fLevXtqW+fPnj375Zdfhg4dqri71L/99ts//vhD7os9depUpUqVOnbsyMECAEAQ1AZmZmZ16tRRk5XJzc2dM2fO9u3bS/NI3w9zcnKKiYlRzzqvUaNGUVFRWFjYvHnzFLdb79+/P2/ePDnOGX716tXw8PBx48ZxpAAAaCWdm0dQ3UybNm3ixIm1a9cu/6ISExMPHjw4depU9dzSgoKC3r17//HHH/7+/nPmzJH78gcMGHD06FFBEB48eODk5FT+BZ47d+7MmTPLly+vUKHM/y8xjyAAQCNU0OWNz8rKUu11dQcPHmzZsqVcUqAgCDVr1kxKSlLb2jYwMDh48GD9+vXnz5//v//9T+7L37p1q0gk0tPTs7OzK//Srly5cubMmZUrV35CCgQAgCCoAczNzaOiotLS0lRSelJSUlhY2MCBA+W4zMqVK79+/VptK9zS0vLUqVN169adOXOm3Oe7sbKy2rVrV61atUxMTMq5qD///DM4OFjRD8cDAIAgqGITJ05cuHChSopet26d3KNGp06dgoOD1bnCHRwcrl692qZNGx8fn7Fjx+bm5spx4V27dm3RokV5JpGRSqXr1q27devW0qVLGQsEABAEtVzt2rVFItG1a9eUXO6///5bvXr18t8g8pY2bdo8f/5czeu8atWqZ8+e7dGjR2Bg4FdffRUXFyfHhbdq1SoqKurTPpuamurl5dW8eXP1fOQMAAAEQfnz9fXdvXu3kgvdt2/fiBEj5L5YQ0PD6dOnq3+dm5mZ/frrr76+vhEREW3atJHjQ0Hatm37aUEwIiJi4sSJc+fObd++PZ0CAEAQ1BUGBgZffvllWFiY0kosKCjIycmpXLmy3JcslUqPHj16+vTps2fPqnvLq1Bh1apVhw4dKigo6NWr1/Dhw+Uyy3ezZs0ePHhQpo/k5OT4+/ufO3du165d1atXp0cAAAiCumXQoEFHjhyRSCTKKS44OLhz586KWPKCBQscHBy6deu2aNGigoIC9a/5fv36RUZGfvfdd/v27WvYsOGqVauysrLKs8AqVaqkp6eXPpHv3bt3+vTpQ4YMmTFjhpGREX0BAEAQ1EVDhw5ds2aNcsoKCQnp1KmT3Bebk5Nz7ty5Fi1aSKXSixcvGhgYaETN29nZHT169Pjx4/r6+jNnzmzUqNH+/fvLM09kUVFRad528eLFH3/8USQSbdy4sW7dunQBAABBUHe5uromJycr4ckcUqlUIpEoYvApKipKKpWGhoaePn1a7pOzKFrv3r2jo6Pnzp2bk5MzdOhQJyen5cuXf9qNL6amph/4q0QiOXjw4MSJEx8/fvzzzz937dqVxg8AIAhCWLJkiRIGBR8+fOjs7KyIJWdnZ0skkq5du3bv3v3cuXPq/OjhElWpUmXBggWxsbHLly+XSqWzZ8+uVatWjx49tm3bFh8fX/rlGBoavvtiUVHRhQsX/Pz8Zs2aVbt27U2bNg0fPlxTBk0BAFAQvgj/P1NT027duh09erRfv36KK+XevXstW7ZUxJJFIpGVlZXsZ3Nz87t37zZu3Fjj9oKFhcW0adOmTp16+vTptWvXnj59+vTp04IgNG3atFOnTm5ubq6urvb29h/656ZCBalUKnvIm1gsDgsLO3PmTEZGxtdffz137twPjxcCAEAQ1F09e/b08vJyd3dXxC29Mv/999+XX36piCXXr1+/eA7k9PT01q1ba+6O0NPT6969e/fu3ePi4kJCQs6fP3/hwoX169evX79eFnNr1apla2trZWVlZmYmG9jz8PDo0qWLIAgVK1bMz8+XnXzfsGGDi4vLkiVLLC0tad4AALz9hVueq/JVSHGrnZSUNGvWrJ07dyrowRJ+fn7Lli1T0Mr//fffd+/erVSpkr6+/oABA7SppRYVFT169Oj27dt3796NiYlJSEhISkpKTU3Nzs6W3R/t7+8/Z84cQRAWLlw4ffp0Y2Nj1QZZDi4AAPXHiODbatSo0b9//8DAwDFjxmhWhBUE4csvv1TQcKPKVahQoWHDhg0bNvzoOyUSSYmXCQIAgLe/XqmCd3Xr1i0uLk6+jz4rlpeXp9CV379/v47vvoKCAn19fZoxAAAEwU80d+7cZcuWKWKKaYWeNMzIyLh+/bqO7zuxWEwDBgCAIPjpTExMfHx8fHx85H4mNz8/X3Grfe7cuZ49e+r4vtPQy14BACAIqpFGjRp17dp169atGhRTrly50rFjRx3fcdyoAQAAQVAOevXqlZaWJt+TrWZmZtnZ2YpY25ycHAMDAx2/PE4ikSjodm8AAAiCOsfPz2/fvn3//fefvBZob2//+PFjRazq/v37Bw4cqOP7686dO/Xr16fdAgBAEJQDPT295cuXT5s27dWrV3JZoIODQ3R0tNzXUyqV3rp1y8XFRcf31/Xr16kEAAAIgnJjZma2ZcuWWbNm5eTklH9pjRo1unXrltxXcteuXX369GFnXb58mSAIAABBUJ6qV68+e/bsKVOmlH8WQAcHh4cPH8p39RISEiIiImQPWNNlhYWFOTk55ubmtFgAAAiC8lSrVi1vb29fX9/y3/ZrbGwsl8HFYsuXL1+6dCn76MaNG59//jn1AAAAQVD+GjZsOGTIkPHjx5fztl93d/fw8HB5rdXBgwe//vrrypUrs4NCQ0O/++476gEAAIKgQrRt23bGjBk+Pj7luXekT58+Z8+elcv6XL58+d9//+XqQJn4+Pi6detSDwAAEAQVpW7duitXrpw9e/adO3c+bQlWVlbp6enlP8V8+fLlw4cPz5kzh50iCEJERESLFi2oBwAACIKKVbly5Y0bN+7YsePo0aOftoRWrVr9888/5VmH+/fvBwUFrV27lvmTZX755ZcBAwZQDwAAEAQVztDQcNOmTRkZGYsWLZJIJGX9eN++fY8dO/bJpV+8eHH79u3r1q3jcWoyYrFYLBZbW1tTFQAAEASVZMSIER4eHuPGjfvrr7/K9EErK6vc3Nz09PSyllhUVLRixYqIiIi1a9caGhqyC2TWrFkzdOhQ6gEAAIKgUjVu3DgwMDAiIsLPz69Mk8IMGjRo06ZNZSorJSVl5MiRX3zxxeTJkxkLLJaWlnb79u22bdtSFQAAlIle+W9ZUAk1XO3o6OitW7c2aNBg1KhRRkZGpflIv379AgMDSzPzS35+fkBAQHx8/NSpU0UiEQ33TYsWLerRo0fz5s3VqF8R0wEABEGdCoIyUVFRu3fvrlq16tChQ2vWrPnhN9+9e/fXX3+dO3fuB96Tk5MTFBQUGRk5atQoZ2dnmuxbEhMTV69evWbNGvXqVwRBAABBUAeDoMyTJ082b96ckZHRv3//Dh06fODG3unTp8+aNavEQcEnT55s37796dOn48aNc3Nzo7GWyMvLa9asWTVq1CAIAgBAEFQjmZmZp0+fvnHjhiAIDg4OrVq1atKkibGx8Zvvefr0aWBg4IIFC2S/Pn/+/MaNG9euXcvKyqpRo8aAAQPs7e1ppu9z8eLFS5cu+fn5qV2/IggCAAiCOh4E3xQTE3Pz5s379+/n5ubKUoKrq2vv3r0FQVi/fn2bNm1kY37BwcGWlpatW7c2NTWldX7Yixcvxo4de/jwYTW8e5ogCAAgCBIES6WwsHDYsGFr166tWrUqLbL0DWDkyJGLFy+2tbVVx35FEAQAaAKmj1E9fX39lStXLl68mKoovYCAgF69eqlnCgQAgCCIMqhRo0br1q0PHTpEVZTGlStXHj9+3KdPH6oCAACCoDYYPHjwlStXIiIiqIoPu3PnzubNm5ctW0ZVAABQTlwjqEZyc3M9PDwCAwM54/k+r169Gjdu3P79+0s5ZbfK+hXXCAIANAEjgmrE2Nh4z54906dPF4vF1Ma7MjIyJk2atH79ejVPgQAAEATxKWxsbBYuXOjl5ZWXl0dtvCkxMXHYsGFqe5swAAAEQciBg4PDhAkTBg8enJ+fT23IvHz5cuLEidu2batTpw61AQAAQVCbtWzZctq0aePHj2dcUBCEJ0+eTJo0acuWLdWqVaM2AACQIwOqQD21bdvWwsJizJgx69atq1Klis7Ww+nTp0+fPr1t2zZzc3NaBQAA8sVdw2rt6dOnkydP9vPza9Giha41TalUunr16kqVKo0ePVrz+hV3DQMACIIEwfLLz88fO3bsDz/80LlzZ91pl9nZ2b6+vgMGDOjYsaNG9iuCIACAIEgQlIvCwsLFixdXqlTJx8dHF7Y3LCzswIEDfn5+9erV09R+RRAEABAECYJy9Mcff+zbt2/evHkNGzbU1m1MS0tbuXKlo6PjiBEjNLtfEQQBAARBgqB8ZWZmenl5derUaciQIdq3dUePHj1+/PiyZctq166t8f2KIAgA0ARMH6NJLCws9uzZIwjCkCFD7ty5ozXbFRkZ6e3tLZVKDxw4oAUpEAAATcGIoEbKyclZs2bN69evfXx87O3tNXdD7t27t2PHDkdHx1GjRhkbG2tPv2JEEABAECQIKlR8fPy8efOqV68+Z84cCwsLzVr5hw8frl692s7Obtq0aSYmJtrWrwiCAACCIEFQCe7cuRMQEGBlZTV69Gj1fwKbVCr9888/f//9d1tb25EjR2rrXNkEQQAAQZAgqDwJCQk7d+5MSkrq0aNHt27dDAzU7pkxsbGxR44cSUpK+uqrr3r06GFoaKjN/YogCAAgCBIElSw/Pz8kJOTSpUsmJiZdu3Z1dXXV19eXeymnTp3S09NLSkry9PQ0NTX98JufPHly/Pjx+Pj4OnXqfP/997a2tjrRrwiCAACCIEFQVdLT048dO/bXX3+JRKJevXrJMRFeuHAhODh49erVkZGRhw4dWrJkSYlve/DgwdGjR6Ojo52cnIYMGeLg4KBb/YogCAAgCBIEVe758+fnz5+/c+dOUVFRzZo1W7du3axZMzMzs09e4OjRo1u2bDlu3DipVNq4ceP79+/LXheLxZGRkTdu3IiPjxcEwcHBoUuXLpr7aBCCIACAIEgQ1CrPnj27du1aZGSkWCzW09MzMjKqV69e7dq17ezsbG1tS3nr7uzZs0UikZeXV15eXqVKlXJzc2fNmlVYWGhmZta0adOWLVvWqlVL+6pOLBZr3H3ZAAAQBPFeubm50dHRMTEx//3339OnT7Ozs6VS6YeHsiZNmlS9evW5c+du3779jz/+GDBgQFpaGqNfJfQr6gQAQBAkCGqlFy9e3Lt3z8nJqXv37pGRkVQIQRAAoKF4xBzKfVBRkQAADxJJREFU5tatWz///HPHjh1v3LgxcuRIKgQAAIIgdEW1atXEYvHBgwfv3bvn5eVFhQAAoLk4NYwyKyoqkkgkRkZGVMV7+xWnhgEABEGCIAiCAACoLU4NAwAA6Cg9htYAAAB0EyOCAAAABEEAAABtFxcX9+6LYrFYLBYTBAHgQ6KiogoKCtR/PS9duqSeK5aSkqIdXzaasiFRUVGasp70LKXp3bv3119//VYc/O233xwdHQ8cOEAQBID3EolE9vb2Bw4cUPMvrfT0dBcXFzX80qpSpUqfPn0WLlyo6XFQUzbEwcHB0dFR/dfTwsJCI3rWkydP1LNnlUlERMTw4cPd3NwmTZpU3DAGDRp05cqV3bt3u7i4REVF6dBhXQoAZXHq1ClZIgwKCpJIJGq7nt7e3oIgODs7h4eHq9WKvXjxQiQSCYLg7++flZWluS1BUzak+EmYar6eQUFBGtGzPD091bNnlVVWVpa/v78gCG9V+KlTp0Qikaen54sXL3ThkE4QBHROVlaWHAcIT506JZe1kkgkivuP19nZOTIyUt1qrzidqORbX503RKHDH/7+/urfYuXYs+S+o2WrV9yzYmNj1X+nq7y1qDNODQM6x8zMrJzff8VfA+PHj2/fvr1c1srAwEDu41XFX1ozZsxo1KiROtTem6OVgiB4enoOGTLEwMBA45qBjGxARe4bIt+WIJFI3N3di7/Xp0yZop4tNisrSxE9Sy47+q0R1uTk5OKeZWdnp7nnJyUSSYmDguHh4bJBwfHjx3NqGABKODGk5mfZJBKJs7Ozep5lk51b9/T0lNdQiqqEh4drxIbIvunV/0S8LK2q+XrK0qr6n78ujaCgIJFI5O3t/WaFx8bGuru7a8GJ79IzEACg1A4cONCwYcOsrCwzMzN1Xs+lS5fOmDGjf//+Khls+4CUlJT9+/fHxsbWqVNHo1tCSkrK4cOH1X9DZLc1qH+L3bRp05dffnnixAk1X8/Ro0evXr1aDXtWmURFRf3www+CIFy5cqW4AYvF4tWrV2/dulULNrBMeLIIAADQIYMGDfrhhx+6d+/+5oshISE3btyYMmWKmmdxgiAAAADkg5tFAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAAIIgAAAACIIAAAAgCAIAAIAgCAAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAABAEAQAAQBAEAAAAQRAAAAAEQQAAAIIgVQAAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgA/6fdOrQBAAaCGEYKb/9NH1+HqCo9sEcICgBGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAMIISAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBAAwghIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAvDkzk0QIWKWtCAD8dgE/7NWZ7KJbIgAAAABJRU5ErkJggg==)
10
154
(K10n
7
)
A knot diagram
1
Linearized knot diagam
9 4 1 7 4 9 5 2 6 3
Solving Sequence
3,10
1 4
2,6
5 9 7 8
c
10
c
3
c
2
c
5
c
9
c
6
c
7
c
1
, c
4
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= hu
5
+ 2u
4
+ u
3
− 2u
2
+ b − u, u
3
+ 2u
2
+ a + 2u, u
6
+ 3u
5
+ 3u
4
− 2u
3
− 4u
2
− u + 1i
I
u
2
= hb, u
2
+ a + 2u + 1, u
3
+ u
2
− 1i
I
u
3
= h−a
2
+ b − 3a − 1, a
3
+ 3a
2
+ 2a + 1, u − 1i
I
u
4
= hu
4
+ 2u
3
+ u
2
+ 2b − u − 1, −u
5
− 3u
4
− 7u
3
− 4u
2
+ 4a − 2u + 5, u
6
+ 2u
5
+ 4u
4
+ u
3
+ 2u
2
− 3u + 1i
* 4 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