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JRV1dX2OcOHz58ePXq1evWrevdu/dn3paTk1O5cuXSLnz48OHLly9ftGiRXP5PV1hr16718fGJiYmpCCsrEomcnZ0dHR0ryM6NiYnx8fFZu3Yt7VwlOTo6Ojs7i0QiNgVBUOkdPHhQfMWYUtDW1m7SpImurq6BgcHz589DQ0Mlu3xra+vr168r2lrn5eUtXLjwzZs3W7Zs+eK9LDk5OWW7/6N69eo7duy4dOnS9u3bOSjIQFZW1uLFiwVBcHFxqSCHmqSkpNDQ0AryZUO8WxcvXiyXQUFIVXBwcGhoaFJS0sGDB9kaBEGlFxERoUST5zVq1Kj4vKeamprEv41179799OnTCrXKKSkp9vb2P/74o4ODQ0nen56erq+vX7ayNDU1f/vtN319fXFAgVQVjxVVhEFB8XCg+OeKMCgoHg58b0dDZRS3YQYFCYJKLz4+XrluF+3Ro0daWlpOTk5qaqqBgYHEI2ydOnWePXumOOt79+7dxYsXb926tWXLliX8SFpampmZWXkKtbe379ChA1lQqsTDgX369BH/qvKDguLhQDc3N0EQKsKgoIuLi7GxsSAIffr0YVBQxYiHA2fNmiUIAoOCBEGl5+PjUzz/nFLQ1dXdu3fvsWPHLl26dPr0aWlMfNioUSMFyYIHDhzw8/Pz9PSsVatWqcK9ubl5OYseMGBAnz59fv75Z4W9YlLZrV271tPT8+zZs4IgpKSkPHjwQIUHBUUi0apVq4KCglxdXQVBCAoK+v3331V458bExKSmpoovXDl9+rSbmxuDgqrE0dHR399/w4YN4m81q1atYlBQBVTcJ4sMGzbsyJEjPAHiXSEhIXfv3p0wYYJ8q7FixYqaNWtOmTKltB+cPn365s2bJVKHS5cuBQYGiv95l6VfKVW7UlOT6XEgLCxMPMorLlckEsXHx9evX18l1zcrK+vt27e1a9cuLjc1NbVy5cp6enoquXNjYmJMTU01NTWLyy3e3Sq5vhWq3A8b87uvqPB2ltfOlZkKOiL45s2batWqKWMKFJ9gkpLWrVuHh4fLce0KCgpcXFxatGhRhhQo2fjVo0ePevXqHTlyhK8HEvdeLNDU1JRlCpQxPT299/5N1q5dW2YpUPbq16+vqan5md0NVWrMH74CgqDSuH79eo8ePZSu2kVFRbm5uVL93iPHtSssLJw9e/awYcMGDx5c5u0jwfqMGzcuODj46dOnHCYAAARBlXLr1q3u3bsrXbVfvnxZrVo1qRbRokWLmzdvymXVJk2a5ODg0K5du7It4fXr1xKfEtLNzW3RokUKPtU2AAAEwdJJTEx87zG1SiE5OdnAwECqRfTt21eyTzEuiaSkpJkzZy5btqxNmzZlXsiTJ08sLS0lWzF9ff1ly5YtW7aMIwUAgCAIOUtISCjbhMklV6dOndjYWFmu1I0bNxYuXLhx40bxlBNlFh4e3qxZM4lXz8LCokGDBgEBATQ/AABBUBUUFBS8dzmzsnjx4kWZJ0wuOWtr64cPH8pmjby8vM6fP79jx47yj3Tev3+/efPm0qjk5MmTfXx8UlJSOF4AAAiCSi8qKqqc0w7LS0pKSpUqVaRdynfffXfmzBkZrM5ff/1Vp04dFxcXidykkpGRIaWUrKamtnLlSqZDAwAQBFVBdHR0nTp1lLHmGRkZ0j41LAhCgwYN4uPjy7+cuLi448ePT506tfiVBw8e7N27d8mSJeJfx44da2trqxRb3sjIqHbt2vfu3eOQAQAgCCq3pKQkIyMjZax5QUGBlpaWDAqqVKlSdnZ2ORdStWrVfv363b17t/gVY2Pjpk2bFj+8RILr8uLFC2lH5OnTpy9fvpxDBgCAIKjcnj9/rqRzYGZmZsrm6sauXbueOnWqnAupVq2ajo7Ou68YGBioq0ulyYWEhEjjTpH3wvGQIUP8/f05agAACIJKLCcn56MXk23cuHHNmjXin9PS0iIiIh4+fBgREZGcnKwgNc/Ly5PGI4Y/1L1793///VeJ9ul///0npTtF3jVq1CiCIABAlWhWwHV+8+aNtrb2u6+IRCInJ6etW7fWrVs3JiamqKioRo0ahoaGGhoahYWFqampL1++LCoq0tfX7927d8+ePWVzfvZDOjo6742xSYmurq74KSayKa78QkND58yZI4OC2rdvf+nSJWV8LA0AAARBQRAEdXX14md95ubm+vr6+vn53b9/X19fPyEhYd68eebm5h/94OvXr8+cOTN9+vS6devOmDFD2nM7fzQIFhQUyKasgQMHXrp0qV+/fkqxT7W0tGSTWe3t7ceNG0cQBACoSCiqmEFQ/MPDhw8dHBxMTU0PHz786NGj169fJyQkfOYZbtWqVRsxYsT27du///77SZMm+fn5SbuqIpEoNDS0+O4KidzDUUIDBgwIDAwswwejoqLevaniw+f/SvaJwMKnz/VLKXF27tz5xo0bHDsAACqgIo4IVqpUKScnRxCEZs2aeXt7v/unEj7connz5r6+vps2bfr111+XLVsmpev2PD09o6OjW7Zs2bVrV/Er1atXf/Xq1dGjR+Pi4tLT03Nzc8ePH9+oUSMpbaW6deuW8M3JycnBwcG3b9/Ozc01NTX94YcfBEF48uTJtWvXbGxs/Pz8OnbsaGxsfOPGjevXrxsbG/v7+w8aNEhSVX3y5Im07xR51/jx4xcuXNi+fXsOHwAAZacm8eEZ2ShPtVevXv3dd981bNiw/NW4cOHCsWPHNmzYIPEV9PLyqlWr1ogRI9598cCBA3Xq1ElNTR0/fnxubq6ampoc74COjY0NDAy8dOlSampq48aN+/Xr16VLF7lcU+jn51e9evWePXvKrMTp06evWbOmUqVKn+xXkpgiu5yysrKKL4H4wlFATZLHgdTU1BK2ScmWK5f1FYlEgiCU8F5+uZSrAhu5ojWqilauvDpRVlaWjo6OIncimamIp4Zr1aqVnp4ukUX16tWra9eubm5uEq9kSEjIeylQEISAgIAjR46MGDEiKCjI1NTUxsbG2dn50KFDstlukZGRvr6+ixYtmjZt2vTp0/fu3WtgYLB69epjx4798ccfvXv3ltedJdHR0Y0bN5ZliYMHD1b824ctLS3t7e2zsrJkWWhqaqqhoaG7u7uMy42JidHX1/f29hb/U5GZgIAAMzOz904syMDWrVvNzMyCg4NlXK6Li0urVq1iYmJkXK6VlZW9vb2MyxWJRJaWlk5OTrLvRPr6+u7u7jJuzGFhYXLsROWfsKy01q5d27ZtW9l3okmTJsmlE31OkXIqLL2QkJCnT58WFhb++++/x48fL5ScpUuXnjp1qlCinJyc3nslNjZWS0urZs2a+fn5hYWFDx48CAgIKCgoWLdu3S+//FIoBQUFBaGhoZs2bXJwcBgzZsyvv/567NixlJSUQgUzf/58GZeYl5c3ZcqUz7xBEfpIfn6++CuKp6dnfn7+Z94p2eNAZmbmrFmzjI2NDxw48Pl3SrbclJQUOzs7Y2PjoKAgWZYbHR1tZWVlZWUVGhoqy3KDgoKsrKzs7Oyio6NlVmhRUdGBAweMjY3t7OwyMzNlVm5+fv6BAwcEQXBzc5NlYy7uRAcOHJBxJxI3Zhl3oujoaDs7OysrK3l1os83Zml0InFjTklJkX0nmjVr1uc7kcxUlCB46tSpOXPm5OTkFBYWPnnyZOPGjZINTFOmTBEvXFLGjBmzYsWK+Pj44lfs7e3V1NTU1NRu3br13puPHDmyfPnycpYYExNjZWXVv3//SZMm/frrr3PmzJk7d+62bdtCQkLE0VNhyT4IFhYWTps2LTs7W5GD4HvxyN/fX2aHOfGRvU+fPp+PR9IoVxyP+vTp85n/KNIo19/f/4vxSOLlvhuPPlWuNFa2JN8xpFFuSb5jSKkxf/E7hpTK/WI8kl4n+vx3DGmUW5LvGFLtRLJszCX/jkEQlEwQPHjw4MqVK4t/zc/Pnz59umRjQUhISPmjWLENGzbo6empqak9e/asOGtGRkZ279793Llzz58///Ajnp6eAQEBZS7x6dOn69ev19HRUVNTa9CgQXBwcKHykEsQ9PX19fX1lUEQzMzMlNTwf58+fT76xfejhzkJnnb41JFd2uXOmjXro0dYaZfr6elZ8n8nEiz3o/Hoo4Xm5+dLqlBjY+OPZv2PlivBxvypeCTtcuXYieTSmD8Vj+TSmD9argQbsyAIH/3CLK9OJDOqf43guXPn7t69O2/evOJXxNNES7YUa2vrhw8f5uXlSWRpLVu2FF+l8fr16+KLVVNSUrp3796rV6+PPih5+vTpZZjOJjMz86+//ho6dKinp+fXX389a9as3r17h4SEdOzYUcCX/h+cOHFCBgXp6emV/6unp6enIAhDhw6tUaOGzC4aKR6/+fbbb0t+/agEB0H79etX8kcySnAQtHv37rK8OKd4ELRTp04lLFRTU1NSg6A9e/Zs0KCBLBuzeNxo+PDhJb9PTiLlisdv5NiJZNmYiztR7969ZdyJxIOgMm7MxYOgJZ+AQiLlihtzqToR1wiWekQwIiJi9uzZH74+Y8YMyZ7JLSwsPHbs2LFjxyS1tPPnz5uYmBRfy5ibmztjxoy8vLzPfGTjxo2PHz8u4SVuJ06cmDp16owZM06fPl185jc+Pv7DzfLXX38xIvhRtra2IpFIwU8NF5+y/MxFMFI622JsbPyZU5ZSKrckl0VKvNwSXhYp8XJLclmkVE9ZyuW8v+xPWcr9vL8sG3MJT1lKoxOV5LJIiZeryOf9OTUsgSD45s2bYcOGZWVlffinXbt2nT9/XuI3EMybN0+CC0xKSnr3FHZBQcHn3x8dHb1+/frPvyczM9PDw2PQoEE7d+786Jb50I4dOx48eEAQ/OhNQiEhIQobBOV7E8Pnr9KTRrkl+W8t8XJLcpWelMqV100McrkTqCT/raVUrnxvYpBxuSW8E0h6neiLV8tJsNzMzEz53gn0meu2ZUyVJ5ReunTp6tWrPzrZW8+ePT08PCQ785ympqZkzzgbGhq2adPmzJkz4ue8fXFqunr16j169OhTf42Njd25c+fbt2+/++672bNnl7wa3bp1u3DhQtOmTTkd/GErunnzprW1tWJWb+jQofPnz7e3t5fxzBfff//9oUOHOnfuLMtyY2JiFixYcO3atfr168t45ouTJ09GR0fLuNytW7dGRERkZmbKeEIyFxcXAwODuLi4kp8ulIiOHTuuXbt27969sixXJBINHTp0xYoVAwcOlHEncnR0lH0nCgsLW7Vqlbw6UUpKioznxF27du2LFy9k34kmTZrUpEkTGTfmz1PZCaXPnj0bFRU1ZcqUT71hyJAhR48eLX7cnES4urr+9ttvEpxOr6ioaMSIET4+PiVsMTNmzNi0adN7L75582b16tXZ2dlz584t4aNT3jNv3rw//vhDYRvDggULVqxYIftyCwoKZs+eLb787v1+pQATSpfiKKAmn+MA5bKylEu5dCK5U82bRTIyMnbv3j1x4sTPvGfgwIEXLlyQbLkNGzYMDw8v/3IuXrwYGRkpbn/Tpk0r+XS17+XFrKysP/74w93dfcyYMWvWrClbCsSnaGhoqPbRAQCg8lQzCK5bt27JkiWffwTwuHHjJP5MDlNT0/v375dnCWlpac7OztHR0ZaWluJXevXqVfJ53uvWrZuSkiIIgkgk2rRp08KFC7/77rs1a9Z89dVX5alV7dq1nz9/Tm+pgN8UAQAEQSWTnp6ek5PzxZuxK1WqVKNGDck+5sXExCQ2NrYk73z58mX//v1dXFwmTZr05MkT8Yvnzp0TT+M8YcKEd9/83q+fYWhomJiYKA4oHTt2XLduXXGgLI82bdpcvXpVYfe4HKOYubm5eOwWAACCoEL4888/J0+eXJJ3Tps2zd3dXYJFV6tW7cWLFyV5p0gkatWqVf369V1dXRs1aiQIwq+//vrkyZNdu3aZmJi89+a0tLQLFy68OxXitWvX/Pz8Tp069d7Z7Vq1aiUnJwuCoKGh0bZtW0mtl5WV1X///aewe1xbWzs3N1cuRVtYWHzmBh0AAGzLrXUAACAASURBVAiCMlVQUBAfH1/Cm57Mzc1NTEyuX78uqdJr1KiRlpZWwjf3799/8uTJZmZm4l9nzZo1bdq0j57Ozs/Pb9myZWBgoPjX7OzsJUuWDBs2bODAgT4+Pu9Oml8cBCWrdu3aSUlJCrvTGzVqFBoaKpeizczMGBEEABAEFYWvr2+pbvVfuHDh5s2bJTXtS+XKlUv+cJFbt25duXJlwYIF4rPJderU+dQ7TUxM3r2v/tq1a8WjhoaGhufOnUtOTs7IyBDeOTVcobRt2/bKlStyKdrExISrJwEABEFFcfz48b59+5b8/ZUqVfrpp59WrlwpqQqU8ByloaHh3Llzu3bt2qdPn6VLl5aqiISEBF1dXfHPOjo6z549e/LkibhcIyMjKQXBypUr5+TkKOZOb9as2d27d+VStPQ2OAAABMHSiYyMbNKkSWmnBuzRo4eWltapU6dkUMPo6OjVq1enpqZu2bLl2rVrgiBUr169tBeZvTd+WVBQ0KVLl1q1aonjmviuYYkzMzNT5KEvAwODEl6dKVk6OjoKm48BAKhYQfDIkSMlv8H2Xb/88svNmzclcrHgh88jLywsvHXr1tKlS+fMmXP8+HF7e/vatWu/fv26Xr16giBERER06dKlVEUYGhq+fftW/HNOTk7dunXf/Wt+fr40tm2dOnWkFDElYvz48QcPHpRL0SW/GEDRZGVlffEVlSESiT6chkmF1/fDVfvoFlCl/fvFV1SpE8lrfRWkMctmfSvORlapIJicnGxqalq2zy5evHj//v0SnCSloKDg7Nmzs2bNcnBwCAkJmTx5soeHh5OTkzi3TZs27d9//921a1dYWNiiRYtKteROnTrFxcWJf05ISOjdu/e7f9XT08vOzpb4tq1evbr4MkTF1KpVq5CQELkU/fnpKhXZrl27goODi3/19vY+duyYCn/rHTt2bGpqavEB3cnJqfhX1ZOamurk5FT8fys1NXXs2LGK80griTt48OC7Z3WCg4O3bt0qg3JdXFzCwsJk34nea8zu7u43btxQ4c5rb29f3JizsrJk8+TM+Ph4d3f39zqRSm5e1TkuvH37tjxPDFRTU9uwYcOyZctCQkKmT59e/keEvXnzJiMjw93dvXr16h/+tVq1ap9/8Mm7IiMjr1692qhRo8OHD3fq1MnExMTJyenQoUO6uroDBw4UnxQu1qRJk8jIyJYtW0p281aqVEnBz4F+/fXXQUFBpR1ercgcHBz09fXFj123t7e/ePFi8RcMFTzSaWp+++23VlZW4mnk27Zt27x5cxk/U1WW6tevn5qaKp5D6tSpU4MGDQoKClLhxjxixAgzM7MRI0YIguDu7r548eJ3p1OQnp9//tnCwkL8nElZdqLp06cbGhr6+/sLgjBgwICUlBRXV1dV3bl6enpNmjQxMzMTX09laWm5du1aGXyrqV+/fkRExIABA1S/ExUpp8IP+Pv7Hzt2rLDczpw588MPP9y/f79sHx8/fnyhXPn7+/v4+Eh8sQEBARLZvNKTnZ09btw42Zc7ePDgD19Uln4kToFiBw4ckHHpMj7+5Ofnv/uUxejoaNVe3+jo6OKVtbKyUu2VLSoqOnDgQPH6urm5yaxcOzs7uXQiKyur4nKDgoJUe/++G+uNjY3z8/MrQieSGdU5NRwUFGRjY1P+5fTt2/evv/46derU7Nmz/f39P3MFWFFR0Z07d/7444+5c+cWz2Onra0tpav0Sj4w9uDBA4kvNjs7W0dHR5EbgI6OTps2bU6fPi37oSbl7TXOzs7Fx1bxaIoK09TUXLt2rfhnOzs7FR4OLB7PKM4oXl5eKj/CPWLEiOKgX9ywZWD58uVy6UTF+9TKyqpz586qvXP19PSKv7XKZjiwQnUiZX1S6ofVHj9+/O7duyVYREFBwYkTJ06ePCkSiRo2bGhhYVG1atWCgoK0tLTo6OjExEQ1NbV27doNHTr03ds13NzcJk2a9JlJAWXgl19+Wb16tWSXuW/fvkaNGnXo0EGRW4VIJBo8ePA///xTtWpV2ZRYUFAwduzYd4ci/qdflfvSApkRn0c7cOCAbC67eW8ryfj4IxKJzMzMkpKSoqOjZR8EZb++MTExFhYWVlZW9+7dU/mVFQTB29t71KhRbm5uMj5Pam9v7+PjI/tO1KpVq9DQ0KCgINkHQdnv36ysLH19fWNj47i4OFl+/ZZjJ5Ldl2TVWI2ioqLSzhrzRRoaGra2tra2tkVFRfHx8fHx8VlZWerq6vXr17e1tX13hud3mZqaxsXFyTcISiOFJCQkKP6XTvGQj6ur6/r162VTYlJSkpGRkVL3HWdn5y1btqj8cOC7LeTkyZMqPxz47njG9OnThYphxIgRzs7OshwOFFu+fPnFixdl34m8vLwcHR1VfjhQTDwoaGlpKeOTMBWhE6nIiGBMTIy3t7eLi4vcKyZ+zseoUaPkWIddu3bZ2Ng0b95cgsucOnWqp6enlpaW4reNAwcOpKWlOTk5yaCsGzduXL169eeff5ZBFpee1NTUT32xkfZX/PLc4FU2IpEoPT294qxvhdq5clzfmJgYuXy7kFe5ctm/WVlZOjo6sr8aR16NSmZU5BrB6Ojoxo0bK0JNGjVqFBMTI986ODg4SDYFCoKQk5OjFClQEIRRo0YlJCTIZobwp0+fWlpaKnv3kdcxTi5BQVNTs0Ktb4VaWTmur7zGmOVVrlz2r56enlyuyVbtFKg6QTA2NrZhw4aKUJN69eopwhM4kpOTjx075ufnJ5HJ/8QXZyhRe1i5cuWJEydu3rwp7YKePHny7r17AAAQBOUgKSmpzFNJS5zcz7anp6fb2dkNGDCgd+/ec+fOLf8Cr1692rNnT2Vq1urqGzZsWLVqlbRnmY6Pjxc/IQYAAIKg3Lx+/fq9eZXlSO7Xhx05cqRBgwba2tpVq1aNjIws/+MTrly58s033yhXk9DW1j5w4ICXl5cEnxbzIRV+rBMAgCCoNBTqlhcjI6P4+Hg5VkAkEhU/90xDQ+PdJyCVTWZmZpUqVZSuVejq6m7ZssXLy0tKkws+e/bM3NycgwgAgCCI/9W0adM7d+7IsQKDBg2KiYkpKirKyMiIjY0t56OHr1+//vXXXyvpvtDS0tq7d29wcPCHU/2V3/Hjx7t3706DBwAQBPG/rK2tr1+/LscKmJqabtu27fTp02FhYebm5g0aNCjP0nx9fYcPH67ETVxdfenSpW/fvnV2dpbs45JPnTrVtWtXGjwAgCCI/2VpaRkRESHHCrx9+/bKlSsDBw7s0KFDUVFR06ZNy7yoZ8+e1ahRQ8EfLlcSkyZNGjFixOjRo1++fCmRBT59+rRBgwbKMqUOAAAEQdnR1taWY+kZGRmHDh1KTU1dtWrV77//Xp5FLVu2bOrUqaqxU9q3b79mzRpHR8fLly+Xf2k+Pj6TJ0+mqQMACIJ4n4WFRUpKirxKNzIy2r59e1hY2MyZM8vz9KHAwMDmzZsrzu3Y5Ve/fn1vb+/jx497eHiUc1Hh4eGtWrWiqQMACIJ4X9u2be/fvy/HChgZGfXq1Us8C3RCQsKbN29KuwSRSHTgwIEZM2aoWotXV1+7dq2Jicm0adNev35dhiXMnDnT0dGxX79+tHMAAEEQihgE34s+S5cuLe2nVq1aNX78+OJpaFSMnZ3d7NmzR4wY8eDBg9J+9t69e9u2bVu/fr0cB30BACAIKq769esnJiYqSGVMTEwsLCxKNa9yUFCQSCTq2LGjCu+jxo0bHz58eMuWLX5+frGxsSdPnizhB2NjYzU0NCZMmGBoaEhTBwAQBBVgNdTVCwsLFapKCjXH9dSpU/ft21fCM6HPnz//888/Fy5cqPKtX19ff9OmTffv32/Xrt3MmTNLMrlMcnKyIAgBAQGqd9IcAEAQVFbVq1d/8eIFu/NT1NTUFixY4OTk9MV35ubmTpw4ccWKFap6UvhDN2/eTEtLi42N3bhx4xffvGLFioCAgB49etCoAAAEQUVhaGioOKdixWrUqPHq1SvFqY+5ufmPP/64adOmz79t3rx5ixcvNjExqTh9wNvb28/Pb8qUKXv27Hn8+PFn3nn8+HEzM7OvvvqKAwcAgCCoQExMTGJjYxWqShMnTtTV1VWoKg0YMODVq1fBwcGfesOSJUs6dOhgY2NTofpAlSpVhgwZ4uXldfv27ZUrV37q9pFHjx7t379/zpw5HDUAAARBxWJqahodHa1QVXr9+vWVK1cUalBQEIQFCxbs3r07MjLywz/t2LGjcuXKdnZ2FbYz6Orqenl5bd269cqVK+/96cWLF+7u7n/++aeamhpHDQAAQVCx1KtX7+nTp4pTn/PnzycmJjZs2LB///53795VnIppaGh4enouWbLk7du3775+9OjR2NhYZ2fnCt4fdHV1PT09Dx8+HBcXV/ziq1evRo0atWLFiqpVq3LIAAAQBBWOnp5eGeZMlp7169erq6s3aNDAwcHhi5flyT7r/P7779euXSt+xd/f/8qVK25ubvQHMQ8PDzMzM/HP6enp8+fP9/LyMjc3Z8sAAFSMJptAGn799VfxLQUZGRnix3soFAsLCwsLC/HP//777/3799euXcte+9+vR+r/8wXpzp07np6eq1atql27NpsFAEAQVFwmJiYpKSkKMsev+Am/b9++PXjw4JEjRxR2o128ePHy5csrVqygJ3zo9OnTZ86c2bFjR8WZSQcAUNGozpNFWrduXYbHhUmVh4fHgQMHTE1NFXOLHTt27Pz588uWLaMbvCc9Pf3XX3+NiYlZv349KRAAQBBUAu3atQsNDVWc+hw8eHDixImNGjUKCQlRwM119OjRe/fuLV26tPg0KMT27ds3efJkR0fHadOmsTUAAARB5aBQj/fdv3//vn37lixZMm3atBs3bijattq+ffvDhw9dXV3FvyYnJ/v7+1fwnlBQUODn5zd27FgNDY1//vnn3VtDli9fnpGRwcECAKB6VOpmEcWZCdnCwmLmzJnin5s1a6ZQW2nNmjWFhYUuLi7FrxgZGV2+fFlXV7d3794VsA+IRKKDBw96e3sPHz58165dH54LHjFihKur67p16zheAABUjFpRUZEy1lspql1YWKg4J16fPn36999///3334MGDVq5cuWH23PBggW2trYdOnSoOK0/Kipq//798fHx/fr1GzJkiJaW1qfeuWTJksGDB1tbW5e0XzHvNACAICjjIHjy5EkdHZ3Q0FBjY+NRo0bJvZILFixQkBtyU1NTW7du/fz5cwMDg+joaD09vY/G1vnz5w8aNKhHjx6q3egTEhIOHz587949CwuLUaNGFc+k8xn5+flz5szx9PQkCAIAVInqnBp+/fq1g4NDamqqlZVVx44dFSEIKo7q1au3a9fu7NmzEyZM+GgKFARBXV199erVs2bNMjAwaNmypepthPz8fD8/P19fXwMDAwcHh1mzZpX8s1paWi1atLh+/XqFGjEFABAElUa1atXu3bsnCMLjx487derEri2WnZ3t6Oj466+//vzzz8UPzPiU1atXz5w5c8aMGVZWVqqx+kVFRVevXj169GhmZmbfvn337t1bqVKlMixnzJgxjo6OBEEAAEFQQZmYmBw9evTvv//eunWr3CtTUFCgCFPQvXnzZuTIkb///nsJ76TR0dHZsmXLpEmT3N3dFXYGxBJ6/fr1X3/9devWrT59+ri7u5ct/xWrXLmypaVlREREkyZNOHAAAFSDCt4sEhER4ejoeO7cOfneqJGcnOzt7f3zzz/LsQ5paWkzZsxwdXUt7Z3Lr1+/njFjxooVK5Q0C169etXPz09HR+f7778v+R0eX5SSkrJ169biaXc+16+4RhAAoAxUZx7BiIiI3bt3C4LQpEmTBw8eiE8TyzcIGhkZybECSUlJo0ePXrFiRRnmr6lWrZqXl5eLi0tWVpZyNYOgoKBRo0bdu3dvyZIlS5culWAKFATB0NDw1atXHDUAAARBhRMWFiYOf2/fvlVTU6tfv75865OYmFinTh15lR4TE+Ps7Lxr166S3BL7UVWqVBFPiJ2ZmakUDSAuLm7mzJkRERE7d+6cNm2arq6uNEpp3ry5Yj4qBgCAMlCpU8PHjh1TV1d/8uRJp06d5H5R/7Zt27755psy57Dy+O+//9asWbNt27Zq1aqVc1Hx8fHLli3buHHjZ+bYUxDJyck1atTQ1taWdinr1q37cCLG9/sVp4YBAMpApW4WGTp0qOJUJj4+/ou36ErD3bt3161bt2/fPolEN1NTU0dHx8WLFy9fvly+2zMnJycsLGzVqlV///23pqamIAhhYWH//fdfQkJC5cqV58yZI5sT8UZGRorzJEMAAMpJXSXXat++ffn5+fKtQ35+vjivyFJQUJCHh8f27dslOIDXsmXL1q1bl3wuZSnJysqqVq3ajRs3xIPBBQUFGzduHDNmzMKFC69evXrkyBGZ1cTU1DQ5OZljBwCAIKigDAwMTpw4UdH25f3793fs2LFr165PTRldZj/88ENubq58N6mBgcFXX331bs4OCQlJTU0VBKFx48Z3796VWU06d+7MZYIAAIKg4urbt+/Ro0cr1I58+PDhmjVrtm7dKqXJC+fOnRsYGBgeHq4g66urq3v79m0TExNBEK5du2Zrayuzotu1axcaGsqxAwBAEFRQWlpaFhYWT58+lVcFXrx4Ub16dZkV9+TJk19++WXTpk3lnDP585YsWbJw4cL09HSF2tc7d+4cNWpUmzZtZFaioaGhom0EAAAIgv/H1KlTfXx85FX6gwcPLC0tZVNWbGysm5ubj4+Pvr6+VAvS1dX19PR0dXVVnDvNAwMDDQwMfvrpp5cvX9KZAQAgCP4PExOTV69e5eTkyKX0O3fulGEa5zKIior6+eefPT09q1atKoPi6tSpM3LkSDmeGC0qKiqOoUFBQREREaamptevXz937pwsq8HsMAAAgqCis7W13bNnj1yKDg8Pl8GIYFZW1vz583fu3FmjRg2ZrVrnzp2trKwEQXj79m1AQEBMTIxsyk1KStqyZYuNjc3OnTsfP36cl5fn4eFx6NChBQsWuLq6Nm7cmM4MAEBpaarwunXp0sXLy8vBwUHakwx/KDc3V9qFvn371tHRcfXq1eWfNbq01NTUEhMTr169Onjw4MDAwNu3bw8fPlzahRobG0+bNm3atGnFr8hyypgPt0BRURHjggAAZaeu2qs3fvz4w4cPy7jQwsJCdXWpb9j58+f/9ttv8nqSXkBAQP369XV0dPr27Xv9+nXZFOrr66sg7UpHRycvL4/DBwCAIKjQvvnmmytXrsj45oZnz541bNhQqkX8/vvvQ4cOfXdePRlr3769ra3t1q1bjx49OmLECBmUGBUVFRsbqyDtSkNDQyQScfgAABAEFV3fvn1lfA7x0aNH4qvopOTPP/+0tLTs06ePHLdq06ZN3d3dPTw8vLy8pJ16xQ4cODB27FgFaVSFhYVSmq8RAACCoCQNHTr08OHDsrx9+PHjxy1btpTSwq9du5aamjp69Gj5blU/P7+GDRuGhYXZ2NjI4AJBQRBevnxZu3ZtBWlUeXl5sr/wFAAAgmDp11Bdff78+V5eXjIrMTExsV69etJY8qNHjw4ePLhgwQK5b9WbN292795dR0dn6dKldevWlfbJ9ytXrrRr105xGlVBQYEMLgMFAIAgKAGtWrVKTExU9jmHU1NTf/vttxUrVihCZZo1a3bhwgVBEF68ePH1119L+/7Zo0eP9uvXj+4KAABBsCycnJwWLVqkvPXPzc1duHDhli1bdHV1FaE+Y8aM0dHROX78+J07d5ycnGQQgg0MDOiuAABIlmYFWU8zM7NmzZqdO3dO2vdY5OTk6OjoSHaZRUVFjo6Ozs7OinORnCAInTt3lk1BCQkJFhYWCtWcFOchewAAlEcFus5p2rRphw4dys3NlWopjx49knhqWbZs2ejRo2XzzLqy2b17d2BgoJQWfvv2bZmFzpKQwWzhAAAQBCW9qurqM2fOXLdunVRLiYyMlOydIjt27DA3N+/Zs6cib9tRo0Zt3rxZSgsPDQ21sbFRnJV9+PChbGbMAQCAIChJzZs3LygouH37tvSKePr0qbm5uaSW5ufnl56erjjz532KlpbWoEGDzpw5I42FZ2RkVK9eXXFW9tatW9KbHggAAIKgFM2fP3/jxo3Pnz+X0vKjoqIkFQRPnz4dERExb948pdiwY8aMOX78uDSWrGiP9CUIAgAIgspKU1Nz/fr1rq6uUlp+Xl6elpZW+Zdz9erV06dPK8KUgSWPazY2NpcvX1b5JiSpXQwAAEFQDmrUqDFu3DgXFxeFreHDhw8PHTq0fv165dqwI0eO3L59u2SXmZ2drSAz5ojdv3+/devWHDgAAARBJdalSxcrK6tt27YpYN3i4uJWr179xx9/KN2zK3R0dLp163blyhUJLjMhIcHIyEhx1vHs2bNDhw7lwAEAIAgqt5EjR2ZmZh49elSCyxSJROWcWCQ8PNzV1XXDhg2amko5xaODg8ORI0ckuMDnz58r1OyJcXFxijapIQAABMGycHZ2vnTpkgRvcXj9+nWNGjXK/PGHDx+uXr1627ZtVatWVdJNqq2tbWJiEhkZKakFpqWl1axZU0HWLj09vVq1ahw1AAAEQRWxbt26wMBAPz8/iSwtMzOzSpUqZfvsuXPn/vjjjw0bNij7ZMUTJkzw8PCQYBAsT7aWrN27d3NeGABAEFQdampqa9asCQ8Pl0h2yc7O1tPTK8MH169fHxwcvGvXrjLnSMVRq1YtY2Pjhw8fqlgQLCgo+O+//6ytrTlqAAAIgirFxcXFwMBg4cKF5VxOfn5+acfzRCKRo6OjgYHB4sWLFW3CvDKbPXv2nj17JLKoV69eKciJ8jNnztja2tJZAAAEQRU0btw4Gxub8ePHJycny6zQiIgIe3v70aNHjxkzRpU2ZtWqVXV1ddPS0sq/qDdv3ijIKGlAQMCwYcPoKQAAgqBqGjJkyNKlS6dOnRoYGFi2JWhoaBQUFJTwzYcPH16+fPlff/3VqVMn1duYP/30059//ln+5eTm5irC7M2PHj0yNTVV0lu5AQAgCJaIqanp33//HRgY6OzsnJqaWtqP6+joZGdnf/FtUVFRkyZNSk5O3rNnjwpcFPhR5ubmKSkpJdkaSmH16tU//fQTHQQAoGIY4fhImFu4cGFkZOTUqVO7du06Y8aMko8DValS5fPX+WVmZq5evTouLm7VqlUKNT2eNNjb22/evHnu3LnKviK3bt1q3Lix4ty8DACApKgVFRUpY71lU+0zZ874+Pg0b9584sSJ5cwBsbGxf/31V3JysoODQ/v27StI8/rpp5/Wrl1bvXr1Mi9hwoQJO3fulO9azJgxY+3atTo6OqXoV6py3w8AgCBYcYOg2P3793fv3p2RkdGtW7f+/fsbGBiU/LPPnj07depUSEhInTp1xo8fX9EeShEdHb1///5FixYpbxD08fHR1dUt7W0iBEEAgFLg1PCXtWjRYs2aNQUFBf/++++CBQtSUlIsLS2//vrrFi1aWFhYvDdxYE5OTlRU1IMHD/7777/w8HBLS8vhw4dPmzatYm46CwuLtLS05ORkhXpecMm9fPnS399///799AIAgEpiRLAsYmNjw8LCnj59mpCQkJWVVVhYWKVKFXV1dUEQdHR0TE1NLS0tW7RoUatWLVpYVFTUihUrduzYUYbP5uXlzZ4928vLS16Vnz9//syZM01NTUvdrxgRBAAoA0YEy8Lc3Nzc3JztUBINGjQwNDS8ceNGGa6MfPXqlRwfNBwYGNigQYMypEAAAJQF08dA6n777beyjeq9ePFCXvdWv3z5cs+ePZMmTWL3AQAIgiipa9eurVixIi8vj01RrHLlyv369du1a1dpP5iammpiYiL7ChcVFU2ePNnFxUV8uh8AAIIgSuTMmTMLFy68ceMGm+JddnZ2Z86ciYuLK9Wnnj9/Lpczs0uXLnVwcGjYsCE7DgBAEEQp9O3bVxCEf//9l03xLjU1tU2bNrm6upbqU3FxcbJPY1u2bKlVq9agQYPYawAAgiBKp0OHDlWqVDl16hSb4j3idOXh4VHyj6Slpcl43pkjR448e/aswk73AwAgCKJcNDQ0unfvHhoaWtrToBXB999//+zZs+DgYMWsXkBAQFBQ0MqVK9lTAACCIMqoX79+giD4+/uzKT7k4eGxcePGV69eleTNspwt8syZM//888+aNWvYRwAAgiDK7ttvv1VTUzt27Bib4kMaGhp//PHHnDlzRCLR59/56tWrKlWqyKZW//zzz9mzZ3fs2MFtwgAAgiDKxdzcvGvXrhcuXHjx4gVb40P16tWbMGHCxIkTPz/gd/Xq1datW8ugPuvWrXv48OGaNWtIgQAAgiAkYMqUKSKRyMfHh03xUV26dPnxxx+dnZ0LCws/9Z7AwMB27dpJtRoikcjFxaVmzZpubm7sFAAAQRCS8cMPP5iZmW3dulVJH+UsAwMGDBg2bNjYsWNfv3790TckJCQYGhpKrwKhoaH29va2trbjxo1jdwAACIKQGA0NjQkTJoSHh3PLyGd07drV1dV13Lhxz58/f+9Pjx8/btasmZTKLSoq8vT03Lhx4549e2xsbNgRAIAKS01Jh6wUv9qJiYkNGzZs0aLFzZs31dTUaGqfkpSUNG/evKFDhw4fPrz4xYSEBDU1tTp16ki8uDt37qxfv37w4MHff/+9FPsVexwAQBCsyEFQEITx48fv27fv6NGjgwcPpql93rp168LCwtavX1+1alUpFfHy5cvFixdra2u7ubnp6+tLt18RBAEABMEKHgQfPHhgbW3dpk2b69evkwy+KDIycvPmza1atRozZoyGhoYEl/z8+fPNmzenp6fPmDGjadOmsuhX7G4AAEGwggdBQRCmTJny559/7ty5kzsSSuj8+fPbtm3r16/f2LFjZO4wngAAFXxJREFUtbS0yrm00NBQT0/PgoKC3377TZaPLSYIAgAIggRBIS0trVmzZmpqavfv369duzYNroQuX7584sQJbW3tTp069erVq3Llyh++5+HDhx+9oSQ/P//WrVv//vtvTExMixYtRo0aVbduXVn3K4IgAIAgSBAUBOHPP/+cMmWKvb39vn37aHCl8vbt27Nnz16+fDknJ6dy5cotW7Zs2LBhpUqVzpw5c/DgwTdv3kRFRb18+fLly5dxcXExMTH3799PT0/X0dFp27Zt375969WrJ7d+RRAEABAECYLiqnbv3j04ONjPz2/IkCG0uU8RiUTDhg37+eefe/Xq9eFfMzMzQ0JCHj58eOXKlX/++aeoqKh69ep9+/bV0tIyMzOrU6dO06ZN27RpU6NGDYXoVwRBAABBkCAoFhMT07ZtW3V19du3b5ubm9PsPmrBggV//PHHmjVrfv7558+/89GjR1u2bHn69OmJEycUtF8RBAEABEGCYLG//vpr8uTJvXr1CggIICV86NKlS717927evPmdO3dKeMtwUVGRwm5JdjEAQClo/P7772wFGWjduvWTJ09OnDiRmZn5zTffsEHelZKSMnjw4Ldv3x45csTMzEwFwhZBEACgFHjEnOySwc6dO1u1auXh4bFr1y42SLGcnJwhQ4Y8e/bMw8Ojffv2bBAAAGSXTzg1LEuRkZFdunTJzMw8evRonz59aH8FBQV2dnaHDx+eNGnS1q1bVSn3s3MBAIqPEUGZsrS0vHDhgr6+/uDBg0+fPl3Bt0ZmZubQoUMPHz5sZ2e3adMmmgcAADLGiKAcXL16tU+fPurq6hcuXLCxsamYLS8rK2vw4MGXL1/+7rvvDh48qGJDaIwIAgCUAiOCctCpU6dTp05paWkNGjTo0qVLFXALREREdOzY8fLly2PHjt2/fz+xCQAAgmAF0qNHj+PHj799+7Zfv36HDx+uUOt+8eLFTp06PXjw4Lffftu1a5eOjg7tAQAAgmDF0rVr15MnT1apUsXOzm758uWFhYUqv8oZGRnz5s3r37+/urq6t7e3u7s7zQAAADniGkE5e/r0af/+/aOiomxtbfft21e5cmVVbWoXLlyYPHlydHR0s2bNjh071qBBA1XuV5zsBgAoA0YE5axhw4bBwcEDBw48evSotbV1UFCQ6q1jWFjY8OHD+/btm5yc/Ntvv924cUO1UyAAAARBlJShoeGJEyc2b978/Pnznj17Tps27cWLF6qxapcvXx4yZIi1tfXJkyfHjh0bFhbm7u6uwqOeAAAoF04NK5CnT5/a2dndvn3byMjozz//HDhwoJKuSFFR0alTp9zc3G7fvi0IQp8+fVavXm1lZVWB+hWnhgEABEGCYGnl5eV5enouX7781atXAwYMWLx4cbt27ZSo/vfu3fP19fXx8YmJidHR0Rk2bNjMmTM7dOhQ4foVQRAAQBAkCJbN8+fPp0yZ4u/vLwiCra2tu7t78+bNFbnCERERBw8e/Pvvvx89eiQIQtWqVX/66ac5c+bUqVOngvYrgiAAgCBIECyPS5cuLVu27MKFC+rq6v369Zs8efLAgQM1NTUVpHqxsbHBwcEXL168cOFCdHS0IAjVq1cfMGDAd999N3DgQF1d3QrdrwiCAACCIEGw/K5everm5nbu3DlBEIyNjSdOnDhx4kQzM7NSLSQ7O3vr1q3Dhw83Nzcvc03y8vJCQ0Nv3rx59erVoKCguLg48eu1atUaPHjwsGHD+vbtq62tTaciCAIACIIEQUkKCwvbtWuXj49PSkqKurr6119/3b9//169erVr1+6LY28ikejMmTPbt29fsWJFs2bNSlJcYWFhYmJiTExMdHT006dPHz58GBER8eTJk7y8PPEbzM3NbWxsOnTo0KtXLysrK3IPQRAAQBAkCEpXYWHhpUuXfH19/f39ExISBEHQ0dGxsrJq06ZNixYtmjRp0qhRozp16mhoaHz42dGjR7u4uIiDYF5eXnp6+suXL1++fJmWlpaampqcnJySkpKUlJSYmJiQkJCYmJifn1/82apVq3711VfNmjVr0aKFlZWVtbV17dq16TwEQQCAstNkEygRdXX1Xr169erVSxCEu3fvnjp16vz589evX79161bxezQ0NIyNjQ0NDWvUqFG5cmVXV9e2bdu+txwbG5uwsLCPFqGtrV2vXr2ePXs2bNjQ0tKycePGzZo1q1evHhsfAACCIBSFtbW1tbW1i4tLfn5+eHj4gwcPnjx5EhkZGR8fn5ycHB8fHx4enpOTM3ny5A8/26VLl2bNmhkYGNSsWbNmzZq1a9c2NDQ0MjIyNjauVasWo1kAABAEoRy0tLSsrKw+Ol3zp06gb9q0ie1WKllZWVWqVGE7AAAIglAajO1Jip6eXmFhIVseAKBieNZwhbB79+43b94cPnz42rVrbA0AACDGXcOAFPoVI4IAAGXAiCAAAEAFpcbQGgAAQMXEiCAAAABBEAAAAARBAAAAEAQBAABAEAQAAFByIpEoNTX1w9dTU1NFIhFBEEAFEhYWppiH6ZiYmIpWdBn2nYL801KcVhQcHKwI1cjKylKQVpSampqVlSWXomNiYuRV9Belp6dbWVk5OTm9V0MnJ6e2bdsq5lGRIAhAKt68edOqVSsF+fdZTFNT8+TJk/b29rL/b6qpqbl37165FF1axsbGZmZm3t7eco+DitOK7ty5owg10dPTW7dunSK0oho1atja2rq7u8s+k9WuXdvS0lIuRZekbpGRkQYGBvr6+u/2IG9vby8vr2+++cbe3v6jQ4aqqQhAxebm5iYIgpWVVVBQkEJVrE+fPoIg2NnZRUdHy7Lc/Px8eRVdWv7+/uJEeODAgfz8fFpRcbORe03y8/OtrKwUoRWlpKQYGxsLguDm5paZmSnLokNDQ8VJQ/ZFl1B0dLSdnd17rSU/P9/T01Ncbfl2K9kgCAIVTmZm5qe+GVpZWYWGhsq3Dh9lZ2eXkpIimaNeKUmw6NImidIOEPr7+8ulaOm1otK2k+JNUVwTSYWwco652NnZSSoJlbMmEgw3ZShaATvOF9uSon1DJggCkPyAQfEhT+4DS+8KCgoq/ncu42OxeKRNMQdK3/ufVxx65DvoojitqHgUSu777sCBAwpSk1mzZhXnURkPT4oHaBV5UDAlJcXOzu69wJefny/efRVhUJAgCFRo4hNYihYBi/7/+Sy5/AcVZxoFj4BidnZ2ivAvVnFaUWZmpryazXuio6MVpBWJv9XI5Qx18QlWxYyA+fn54ksa3mu3QUFBxsbGin9liKRocrE8UJEtX758/vz5I0aM0NRUoKOBSCRaunTpoUOHOnfuLPuinZycgoKCZF90aXl7ezdp0iQzM1NPT49WJObi4iKXZvNhK5o0aZIitKLU1NT9+/dHR0fXr19fxkWHhYW9fPlSEdrnp7qPs7Nzz549361hTEzMpEmTUlJSFKEVyYxaUbkvOAAAAFAWqampTk5Oy5cvfy8fu7u7W1paKtoXY4IgAAAApIJ5BAEAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAACCIJsAAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAAIAgCAACAIAgAAACCIAAAAAiCAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAEAAEAQBAAAAEEQAAAABEEAAAAQBAHg/7VbhzYAwEAQw0jh7b/p4+sQVaUH9ghBAcAIAgAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCABgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAMAISgAAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBAAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAwAhKAABgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAPDmzEwSIWCVtiIA8NsF8H3NXf4S2EMAAAAASUVORK5CYII=)
12n
0273
(K12n
0273
)
A knot diagram
1
Linearized knot diagam
3 4 11 2 10 4 12 3 6 9 7 8
Solving Sequence
7,11
12 8
1,4
3 9 2 5 6 10
c
11
c
7
c
12
c
3
c
8
c
2
c
4
c
6
c
10
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−5u
7
− 12u
6
+ 30u
5
+ 104u
4
+ 50u
3
− 36u
2
+ 4b + 4u + 12,
6u
7
+ 15u
6
− 36u
5
− 130u
4
− 62u
3
+ 54u
2
+ 4a − 4u − 20,
u
8
+ 4u
7
− 2u
6
− 30u
5
− 44u
4
− 12u
3
+ 8u
2
− 4u − 4i
I
u
2
= h−au + b + 2a − u + 2, 2a
2
− au + 2a + u + 3, u
2
− 2i
I
u
3
= hu
2
+ 2b + 2a − 4u + 2, 4u
2
a + 2a
2
− 12au − u
2
+ 6a + 7u − 6, u
3
− 4u
2
+ 4u − 2i
I
u
4
= h2b + 2a + u + 2, 2a
2
+ 2au + 2a + u + 3, u
2
− 2i
I
v
1
= ha, b
2
− b + 1, v + 1i
I
v
2
= ha, b + v −1, v
2
− v + 1i
* 6 irreducible components of dim
C
= 0, with total 26 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