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Rk9O52QkNDZ86c2blz52bKSktLc3FxQSMHAAAEQfiI4uLi8PDw6OhoBoOhwocpuV+4sbGRajvGYDCcnJycnJzee7yxsZHFYrHZ7KqqqtLS0szMzIqKCg6HQ6fTRSKRWCw2NTXdt29fZGRkaGjoypUrtbW1P7r9pKSkGTNmoJ0DAACCILyPy+UuXLjw4MGD5MyrokCSsTQOh6MsO6yrq2tnZ2dnZ/epJ9y+fXvTpk0EQWzduvXevXtdunRxd3f39vZ+b9Ls0tLSjh07oqkDAACCILxv4cKFa9euNTExUfkjlRyjZDZB1aCjo7N+/fr+/fv36tVLV1e3vr7+7t27mzZtqq6uXrBggaurK0EQ1dXV8l5MBQAAgMpokttFlQ4Ju33s2DEOhxMQEKAO7YDFYllZWY0dO/bUqVOqfaRCofDt27eSId4TJ04wmcyBAwfKvl+pzVQFNJpiPkNQLg4W5aJc6h+sUsA8gh9XUlJy584dNUmBBEGYmZlpamqyWCyVP1IGgyE90Z+amjpgwAC0dgAAUFs4NfwRYrF4/vz5f/zxhxp9IaDT4+LidHR01OeQX79+raenJ503B6eJAQBADWFE8CP27dvn4+NjaWmpVkc9duzY4cOHq8/geWxs7OjRoyU/czickJCQxMRENH4AAEAQVGvl5eXXrl1TtylF+Hz+1atX586de/nyZXU4Xh6Pl5SU1LNnT8mvRkZGsbGxqampy5cvFwgE6AUAAIAgqKaWLl26fft2dTtqBoPRo0cPY2NjNRkRjIyMfC/rMxiM33//fcyYMbNmzfrvv//QEQAAAEFQ7dy6dUuympnatQM63cLCQk0Otqqq6t69eyNGjPjwT7179967d+/q1atfvnyJ7gAAAAiC6uXIkSO//fYb6kG1rVmzZuXKlZ/6q76+flRU1IoVK7Kzs1FXAACAIKgunj17Zm9vr6uri6pQYU+fPqXT6dKrAz/K0NDw0KFDq1evLigoQI0BAACCoFrYvn37zJkzUQ+qbdu2bRs2bPjs0wwMDGJiYhYvXlxdXY1KAwAABEEVl5+fr62t3aZNG1SFCtu5c+eoUaOMjY1b8mQTE5OoqKjg4OCGhgZUHQAAIAiqst27d6vz1YFisfjQoUPZ2dmJiYnnz59XyWO8fv36y5cvx40b1/KXWFtbr1q1av369eggAACgkrDWMEEQBI/Hmzhx4j///IMGoaoKCwvnz59/9uxZbW3tL33tzp07XV1dv2gxOqw1jHJVoFxUMspFY1YHGBEkCIJISEj46GQiaujp06dPnjxRsYOqra2dO3duTEzMV6RAgiDmz5+/Z88enCAGAAAEQdX0zz//jB8/HvVAEERQUFCvXr1yc3NV5ohqampmzZq1Z88ea2vrr9uCpqZmWFjYqlWr0DwAAABBUNW8ffu2qamphTcQqDxvb2+CIFRm1d23b98GBARs27atY8eO37Kdbt26mZmZ3b17V02aAZfLVZ9yBQKBospVyHqGXC5XUeWiMaMTqUwnQhBUKY8ePfrhhx9QDxKenp4EQVy/fl0FjqW+vt7X13fJkiXt2rX79q0tXLgwMjJSHdqAQCDo0KFDcHAwyR92bDbbwMAgKiqK5E/27OzsDh06xMfHk1xuYmKira3tpUuXSH5/V6xY4erqmpmZSXK5/v7+gwcPLioqIrncDh06+Pn5sdlskoNChw4d1q1bpyadKDExUdKJSH5zT506ZWtrm5ycTH4ncnFxIb8TyYtYOYlkZ+vWrZmZmSIQiUQiEY/HMzQ0NDIy4vP5Sn0gFRUVP/74Y2pqqgy3efDgwcTExJY8U6zkOBxOWFgYQRBxcXF8Pr+ZZ8r2M4TD4fj6+jKZzIsXLzb/TNmWW1hY6O3t7ezsnJSURGa5GRkZzs7O3t7ehYWFZJablJTEZDJ9fX1ZLBZphfL5/Li4OCaTuWDBAg6HQ2a5kq9wkZGRJDfmBQsWMJlMkjsRi8VSbCfKyMgguTG3pBPJPO1cvHhR0omab8xKAUFQNG/ePOS/d40ZM4ZGoz148EB5DyEpKWnChAlFRUWy3Syfzw8MDFSHICj9ZPf19W0+Hsnjy2RhYaGzs7Ozs3Mzn+zyKLcl8Uge5bYkHsm8XGk8CgsL+1RMkcfBtuQ7hpzK/Ww8klNj/ux3DHmU25LvGPIoVxqPyOxELfmOIY+Dbfl3DARBqgfBuXPnIvy9688//6TRaOHh4Uq6/zExMXPmzGlqapLHxiMjI9PS0pQlCHI4HFmdOvjUJ/tHP15leMrC19f3o5+w8i73U/FI3uXGxcW18N8Yn8+XYbkfjSkfPVgZlvup0aOPlivDxuzs7KyoxqyQchcsWKCoTtTyTCbvTiTvxsxkMj97PoGycI2gGk351kI//vgjQRB37txRuj3ncrlz5sypqanZv3+/hoaGPIrw8/M7cOCAslSIvr7+t3/llYzfjBgxwtTUlLQLTqTjNyNGjGj5WynDQVAvLy+Sy5UMgvbr16+FhWpoaMhwELTliyrJpFzJ+M3AgQMdHBzIbMyS8ZuxY8eS3JgV24mGDh1KcmOWDIJ6eXmReZWadBCU5E4kGQQdNGjQN96SiGsEFTYiWFJSsnbt2i96SW1tbU5OzsOHD+/du/fw4cPc3Nw3b96o2KCgi4uLoaGhnAbV5OTRo0djxox58uSJvAsKCAhgs9nqcGpYUacs4+Limj9lKY9yW3hZpDzKbckVXTIvV7GnLNXkvH8LL4uU33n/5k9ZyqMxt+SySJmX25LLIuV63v+zl0VSnAah3l69emVhYdH8c0pLS2/fvp2SklJXV0ej0UxMTCwtLY2MjDQ0NAQCwZs3b169elVXVycWi21sbAYPHuzu7i6n4SgyBwUjIiJu3779RV/pFEUgEOzYsaOqqiouLu7rpoz+ItOmTTty5MjChQtVuF9kZmZOmTKFIIj79+/b29uTVm5ycvK4ceMGDRrEYrHMzc1JKzc+Pj4kJGTChAkcDkdfX5+0dhsdHR0UFBQWFnbkyBHSPjS4XO727dv379+/ffv2CRMmkFYum80ODg6+efPmwYMHhw0bRtqbW1RU5O/vz2KxEhMTnZycSO5EFhYWJHeiS5cuzZw5k+ROJBAITp06FRISMnfu3JcvX5LfiSIjI0nuRCtWrDh16tT27dv9/PyU/QNf3YNgeXn5R4OgUCi8fv36jRs3+Hy+tbX1999/7+Pj89nGXVFRcefOnRUrVgiFwqFDhw4ZMkRJq2XYsGERERFnzpyheBAUCoXHjx+/e/fu9OnTW3464Bv17dt3z549KtwpBALBlClTNm3aROZ/a0lQmDdv3pkzZ9zd3cksNzk5OTY2luT/1gRBJCYm3rt3j+TISxDEihUrCIIg87+1RHBwcL9+/cj8by0xatSopUuXkhl5JUFhyJAh5DdmNpu9fPlykiOvpDErpBOdOnXq3r17ZH5/k3ai1q1bk9+J5ETd1xo+ffq0sbHxu4mtsrLywIEDubm5I0eO9PHx+boRJqFQePLkyXPnzs2YMYPk/6ayql4LCwsGg1FRUUHZayjv378fGRk5efLk4cOHk1x0ZGSkq6trM9ETaw2jXBUoF5WMctGY1YG63ywiEAikib6+vn7VqlVr164dPXp0XFzcxIkTv/o8I4PB8PPzO378eEFBwfTp08vLy5Xuv/ugQYPYbHZKSgoFdy81NXX69Om3bt06ePAg+SmQIIixY8eeO3cOHx8AAKDsNFAF0kQYEhISFBQkwxF1DQ2N+fPnl5eXh4aGRkVFmZqaXrp0ic/n19TUjBkzhuKL2g0cOPDvv/++ePFi3759qbNX6enpUVFR7dq1i4yMNDIyUtRuWFtbK124BwAA+JC6nxo+d+6csbGxZF01ue6tUCg8ceKEt7c3k8nk8Xhr167dtGkTlWv45cuXnTp16ty587NnzxS+MywW6/Tp0zk5OZ07d546daoCI6DUtm3bhg8f3qVLl4/3K5waRrnKXy4qGeWiMasDdR8RNDY2rq+vJ6EJamhoFBYWHj16dPHixXQ6nfpBoUOHDp06dcrJycnOzv5U3CEh7t+6dev48eP6+vq//vprYGAgdepn1KhRV69eVVTNAAAAIAjKgIWFBWmLoEtu6b98+fKoUaNCQkKoXzkjRozIzc1NSEggP+6kp6cfP368tLS0f//+27Zto8IQ4HscHR3/+OMPfIIAAIBSU9ObRdLS0urq6giCsLW1raioIKfQ1q1bz5s3r2PHjhs3bnzy5IlSBEGCIC5dukROcQKB4M6dO8uXL588eXJiYuL8+fPj4uICAgIomAIBAABUgzqOCJ49ezYtLU2yioCxsbEkEZJg1apVy5Yta9Wq1eTJk2fPnp2enk7C7Mffwt3d3dzcPCkpqaamplWrVvIooqam5sGDB48ePSorK9PT0/v+++8XLFhgZWWlFA3JwsKivLzc2toanyMAAIAgqBx27tzZ1NS0YcMG6SMyXMu8eWw2WxKn+vfvP2rUqLdv31I8CDIYjJEjRx48ePDff/+dMGGCTLYpEokyMzNTU1MfPXpUUVFhaWnZv3//X3/91cbGRunaUu/eve/evTtx4kR8jgAAAIKgEti6dauent57i4MxGIympiYtLS15l96rV69Lly4NGzasvLy8TZs2FJ8+RmLYsGEHDx68e/fuVwdBPp+fmZmZnp6ekZFRXFxMp9O7d+/eq1evdevWfXZxP4pzcXHZuHGjegZBLpf73pT6Hz4iDwKB4L31IT58hIRCySn3wyoVCAQEQZB/vCQcrLo1KgU25g+bEAn1rG6dSLmo0TWCUVFROjo6H9556uzs/PDhQxJ2IDAw0NzcPC4u7tmzZ0FBQUpRaYMHD9bR0Xnw4MGnnpCamvrulM48Hi8rK+vMmTNhYWGTJk0aO3bs1KlTExISzM3NFy1adPbs2TNnzqxdu3bEiBHKngIJgjA1Na2qqlLPD44VK1ZkZmZKf42Pj09PTyeh3GnTprHZbOkH+rp160pLS0ko18/Pj8vlSsv18/Pj8XgklBscHCz5v0UQBJvNnjZtGgmFpqSkrFu3TlpuUVHRTz/9REK5//vf/+Lj46W/ZmZmSlbDk7fo6Ojk5GTpr5cuXTp16hQJ5YaEhLx7q2JUVBQJE/hraGi814mCg4Olv8oPj8cbPHiwtBNxudzBgweT0IkkK1yT34mUjFg5ib5QQkLC2rVrP/qnZ8+erVixQgSfMHToUA0NjZqamvcer6+vX7p0qaamJo1GW7Ro0dixY318fCZNmrR69eq4uLgnT57weDyVr5zp06d/9HGxqissLCQIIjIykiAIX19fZ2dncspNSkoiCOLixYsEQXh7e/v6+pJTblxcHJPJzMjIIAiCyWSGhYWRU25YWJizszOLxZKUGxcXR065zs7O3t7eBEHExcURBJGUlERCoXw+n8lk+vr6SptWYWEhCeVKrg6SXDW+YMECJpPJ5/NJ60SSGvb29lZIJ3J2diatE4WFhSmkE0k+oCTNmMxOpETUIghmZmaGhIQ084Thw4eTnyHu3bu3f/9+6medyMhIGo0WFxcn+fXgwYOhoaFLliyZMWNG9+7dJXMiXrhwQSgUqmFKXrt2bX5+vhoGQcnHq/T7JDlBQZpRpOWSExSkGUVaLofDIafcd69gJi2gSLOC9JwJaW+uJBVJkBZQJBlFWi6ZQUGtOtF7l+OT1okkgZv8ToQgSKEgyGKxxowZ09jY2MxzNm7cePPmTfJjxKRJk6iZb+rr6+/cucPlckUiUVFREY1Gmzx5suRPAoHg3WdWVlbGx8dnZWWp53Dp2bNnz549q55BUPrxSmZQeDejkBkU3s0opI1kvJdRSB7JkGYFMgPKu4GbtIDybkYhOSioWyeSNmaSO5E0cGM4UB2DoFAo9PPzKyoqav5pJSUlnzrHJ1erVq0qLCyU4QZ5PF5eXp4kwH2R6urq69evb9my5Zdffpk6dercuXMPHDhQX18v+audnZ21tTXOkn/0uoJNmzapZxCUfrySGRTezShkBoV3MwppIxnvZhTyRzIkWYHkgCIN3CQHFGlGIQmLhrkAACAASURBVD8oqFUnkgZukjuRJHBjOPBTVHyt4R07djg4OPj4+LTkIvQtW7aQPINdSkpKRkaGv7+/TLaWnZ2dmZnZpUuXnTt3Dh48+N2TDh9qaGhIS0t78ODB8+fPRSJRq1atXFxcevfu3blzZzqd/uGV8idPnszKysKKau9pamoKCgo6cODAe4+ryVrDRUVFo0aNevr0KcnlJicn7927990bC8gRHx//8uXL1atXk1zuunXrOnTo4OfnR3K5Li4u+/btc3d3J7NQgUBga2t7//59e3t7MsvlcrkdOnQoKSkh+X5SdetE69atIwiC/E7k5+c3YsQI8juRUlDlIPj06dMTJ05s2rSpJRvMysr6448/9uzZQ+ZRiESi+fPn79u3TyZb27Jly+vXrzdt2nThwoWVK1e+98lSUVGRkZGRmZnJZrNpNJq2tnbXrl1dXFw6duz4YfJ7z969excsWBAREaEUK+ORbMaMGbGxseoZBCV34Zmbm6tJuQKBgMfjkTChyYcZRVtbm/wJL4qKikhOY4otV60as6LKldw4TH4nYrPZpqammDXmo1S5UqKiolqesbp3787n8/Py8hwdHUnbQzqdLsMgvnTpUskPjx49GjNmDEEQaWlpd+7cycrK4vP5bdu27dWrl5+f31eshNGnTx+CIBITExEE4T0K+QemqHI1NDQU8o+E/P+aEgpJYwosV60as6LKVVRjVlQlIwgq0qlTp4YOHaqpqdnyl6xZs2bdunWyGp9rIVtb24KCAgcHB5lsrays7NKlSy9fvjxy5AhBEOXl5T/88MP8+fO/8b+Xs7OzpqbmgwcPRCLRZ4cP1Y2ent7bt291dHRQFQAAoHRU8596Y2Pj6dOnx44d+0WvYjKZFhYW5EwuLeXq6nr37t2vfjmfz09NTY2MjBSJRARBtGnTxt/f39PTc/LkyQRBjBgxokePHt8+hqGtrd27d28Oh5OWloY+8542bdqUlJSgHgAAAEGQKiIiIpYtW/YV12ktWbJk48aNJEyzLvX999+/O2VXS+Tk5MTGxi5btmzJkiVr167Nzc0dNGgQnU4/fvx4fn4+QRA//vjj6dOn35086dtJbjHbsWMH+sx72rZtW1xcjHoAAABlpIKnhktLS9lstqur61e8Vk9Pb8eOHbNmzTpz5swXnVb+aiYmJpJlA5qXl5d3+fJlyYCck5PToEGDpk6d+t5Q34kTJ2xsbNq3b89msw0NDWV7SURBQQFBECdPnsSNV+/BiCAAACAIUsjOnTsXLVr01S9v3759QEDA4sWLd+/eTc4Ot2vXrra21tTU9L3HuVzutWvXrl+//vr1a0dHx59++ikwMJDBYHxqO6tXr87IyHj9+vXp06dPnDhhYGAgw52ULiy7cuVKHx8fPT09dB4JKyur1NRU1AMAACAIKl5tbS2Hw/nGey9++umnmpqaqKio+fPnk7DPffv2vX///rBhwyS/slisCxcuJCUlaWtre3l5bdiwwdjYuCXbcXV1dXV1raur+/nnn2W7h2/evKmoqJD8/N9//y1fvpy0lEx9FhYWZF5LAAAAIEOqdo3g8ePHAwICvn07kydP5vF4hw8fJmGf3d3d7927J/m5vLx806ZN7dq1i4mJiY6OHj9+fAtToJSRkZHM9zA7O5sgCMn9wjNnzhw/fjx6jpSpqWltbS3qAQAAEAQVLzc3t0ePHjLZVEhICJ/PX758eUNDg1z32dbWVnq3gbW19c6dOz09PSk172X79u0LCgq2bdtGEETnzp09PDzQc6RoNJrklm0AAAAEQUV6/Phx9+7dZbjBWbNmTZ48eerUqfKYNuXBgwdv3ryR/NyqVauamhrKVqy5ubmdnV3v3r2Jdy4WBAAAAARBComLixs1apRst9m9e/djx44dP35848aNfD7/2zdYV1e3d+/eSZMm3b9/Xzo58w8//HDz5k2KV+93333HYDBevnyJbgMAAIAgSC1CoZDNZltYWMh8y7q6ulu3bv3hhx/8/PxiY2Obmpq+YiN8Pv/SpUtz5swJCQlxcnI6ceLEwoULDQ0NJX8dNGgQ9YOgnp5e586dEQQ/pD4rCwMAgIpRnbuGExMThwwZIr/te3h4uLu737x5c8WKFVpaWj/88IObm1vzd2YIhcLnz5/fu3fvxYsXGhoa/fr127Fjx0dXWjQxMcnPz6+qqjIzM6NyJbu4uMTHxytqiXQAAABAEPy48+fPR0REyLUIGo3m6enp6enZ2Nh45cqV33///c2bN3p6eg4ODkwmUzJvH5fLZbFY//33X319PYPBcHZ29vT0nDNnzmc3XlVVNWPGjAsXLlA/CKanpw8ePBidR0pLS4vP55MzAzkAAACC4PvEYjGXy5WeaZU3XV3d0aNHjx49miAIHo9XUFBQWVnJ5XLFYrGpqWnPnj3t7Oy+dD7nsrKytLS0zZs3L1u2jLL13LVrV4IgcnJyEATfpa+v39DQ8KUT/QAAACAIykZmZqaTk5NCitbW1u7SpUuXLl2+ZSMCgUAyKfHJkydnzJhhaWlJzXru1KkTQRAvXrxAz3kvCDY2NiIIAgAAgqBiJCYmDh06VHn3v7GxMTIyMjk5OSoqisp5ol27dtra2s+fP0fPedfChQtlu6AfAAAAOVTkruGsrCxFjQjKhKGhYUBAgI+PD8WvEaTT6Q4ODpKFRkAiKSmJRqM1NjampKSgNgAAAEFQMVRgCg9PT8/ExESK76StrW1lZaW8V1tRIosWLWrVqlXfvn3FYjFqAwAAEATJVlpa2q5dOxU4EFNT0/r6eoqvV2Zra0sQRGFhITqPREBAAI/He/bsWd++fVEbAACAIEi258+fy2p9YYXr37//7du3qbyHbdu2JQgC00pL8Xi8lJSUa9euNTY2ojYAAABBkGy5ubnOzs6q8X6MGjWK4pcJYkTwPQwGw83NzcXFZfTo0Tg7DAAACIJkq6iokAxTqYD27dvn5eVReQ+ZTCZBEKWlpeg8ErNnz6bT6RYWFlVVVQ8ePECFAAAAgiCpRCIRna46d73Y2tpWVFRQdvesrKwQBKXi4uJmzpwp+VlDQ6O6uhp1AgAACILw9QYMGHDz5k3K7p5kNWScGpYwNTWdNWsWQRBNTU3V1dUeHh6oEwAAQBAklQpMHPMuT0/PO3fuUHb3LC0t6XR6VVUVOg9BEMOGDausrDx//vz+/ftPnjxpYmKCOgEAACWigSqgGgsLCyqfGmYwGK1bt2axWHinJHx8fFAJAACgpJR+RFDFLhCUMDY2rq+vp+zumZiYNDQ0CAQC9B+JkpKSx48fox4AAABBkGx1dXX6+voq9q589913z549o+zuGRoaEgTB4XDQfyRYLFZOTg7qAQAAEATJ1tDQoKurq2LviqurK5XX85VUOOZPlqLRaJhBEAAAEAQVgMfjaWlpqdi70qVLl9zcXMrunqamJkEQfD4f/QdBEAAAEAQVSVtbW7LWhSqxsLCg8t0YkosyKb4mMplU8kJVAABAEFQC1tbWI0eOxBtJJqFQKI2DIKkQBoOBegAAAKWj3NPH1NbWnj171srKSiAQIA6SRnJSWHKCGCQVgiAIAADKSLkHdXx8fAYOHDhs2LDk5ORbt26p1BtDp1P2srOGhgaCIPT09NB/JFTyQlUAAEAQpLTCwsInT560b9+eIAhnZ+ejR4+q0hvTunXr169fU3PfJBPHqN6sPV+tqakJQRAAABAESaWh8X/ntRkMhopN5Na6deva2lpq7tubN2/09fXfrX8119jYqK2tjXoAAAAEQfLY2tr26tXrv//+IwgiKytLxaa1o3IQrK2tNTU1ReeRamho0NHRQT0AAIDSUe5Bnb///vvSpUuFhYWWlpYqNomMubk5NYPgmzdvBAKBhYUFOo9UfX29gYEB6gEAAJSOct8s8vz589GjRw8cOJDNZo8dO1aV3hgzM7OamhoK7phkgkMrKyt0Hqm6ujoEQQAAQBAkW1hYWElJCYvFKigomDx5siq9MZS9WUQSBK2trdF53g2CkvWXAQAAlItynxres2fP48ePRSLRwYMHVWwiN3Nzc2qOCJaXlxME0aZNG3QeqZqaGmNjY9QDAAAgCJKqc+fOnTt3Vsk3xtTUtK6ujoI7VlpaShBEu3bt0Hmk3r59i+ljAABAGanCKmFpaWmHDh1SsTeGRqP169ePgjsmuU3b0dERnQcAAABBUPEcHR0zMjJU770ZMWIEZYOgZB5vAAAAUGqqMCewoaEhZafc+6yXL19mZ2dzOBxNTU0mk9mlS5fWrVtTeYeLiopMTU3NzMzQeQAAABAEKUFPT6+hoUGJVr/lcDh79+6tqKhwdHR0dHQ0NTXlcrkvXry4cuVKY2Mjg8EwMTFxc3Pr06cPpVZyE4lEeXl5rq6u6DlS1dXVFM/uAAAAKh4E+/bte//+fS8vL6XY21evXgUGBq5fv75r166fek5VVdWNGzeWLl1aX1+vr6/frVs3Z2fnTp06KXYm55cvXzY2Nrq4uKDnSBUUFODWGQAAQBBUpIEDB/7555/KEgTXrFkTHR1tbm7ezHPMzMwmTJgwYcIEgiAaGhoePnyYlpYWFxfHYrFoNJqWlpalpaW1tXX79u2ZTKa5ubmZmZmpqSmNRpPrnj979owgiG7duqHnSBUVFdnb26MeAAAAQVBh7OzsioqKlGJXr1275uHh0XwKlHjx4kVBQcGPP/6op6c3cODAgQMHSv8kEomKi4srKyvZbHZOTs6dO3eqq6tfv34tEomkz9HR0bGwsDAwMLCxsWEymTY2Nra2ttra2t+y8927d9+2bZu7uzt6jlReXt64ceNQDwAAgCCoSGZmZmw2uyUBS7FOnDixb9++ljzzzp07+/btGzp06IfjfHQ63d7evvmBKB6PV1lZWVZWVlFR8fTp08TExJKSEg6HQ6fTtbW1bW1t27Rp06FDh/bt29vb278bEAUCwdy5c8PDwz+sTEdHx4ULF6LbvKuwsNDBwQH1AAAACIKK5OPjc/bs2Tlz5lB5J0UikVgsbuGw3Pnz558+fXr8+HE/P7+vKEtbW7tt27Zt27b98E9CobCsrKysrKy0tPTixYvl5eX19fVCoZDBYGhra+vr6x86dOjcuXMLFy4MDAw0MTFBP2kGn8/X0NBAPQAAAIKgIg0YMCAmJobkIHjgwAEHBwdpDhg4cGDzV+lVVFS0cHG28vLyq1evEgSxbdu2rwuCzWAwGJ/KiE1NTceOHSMIora29tChQ0+fPuXz+cbGxgwGw9zc3MrKysrKytLS0tLS0tTU1NzcnE6XwVSUxcXFDx48yM3NXbVqleSRpKSk//77T0dHh8fjyfzwZaipqQlrigAAAIKg4tFoNCsrq8rKSktLS9IKjYuLMzIyIghCJBLp6uoOGjSo+efX19cbGhq2ZMssFmv16tW3b98OCAgQCASkjTlpaWk5ODhs2LDh559/7t69+7t/qqqqKisrKy8vLywsTElJKS4urqmpkayuxuPxNDQ0dHV1zc3NTU1NTUxMLC0tTUxMmExmq1atrKysms+LbDbbxMREMlW1pDJjYmIOHz5MEMTixYtdXFwoe3vKs2fPmrn1GwAAAEGQPBMnTrxw4cKsWbPIKe7169ebNm2S3DkRHx8/ZMiQz76EwWAIhcKWbPy7777T1tYWi8VjxowhuRrfuzFFyszMzMzMrJm5YxobG1+9esXhcF69evX69eucnJwHDx7U1dXV1tYKhULJWKmGhoalpWWbNm1sbGzs7Ow6dOigq6vr6ur6+PFj6XbS0tJ0dHQkP3fr1u3y5cuUDYKPHj3q1asXPkcAAABBUPF69eolOa1JDhMTE0kKfPDggYODg5mZWUNDQ1lZma6ubqtWrT46u7W9vb2/v38Lt5+Wlta7d28lqn9dXV3JjHpOTk6feo5QKKyqqnr16tWrV69SU1M5HI6bm9t7z8nPz9fV1ZX8rK+vn56eTtlDfvz48ZQpU/A5AgAACIKUYGdnl5OT07lzZ9JKFIlEp06d2rFjB0EQVVVV58+fb2hoYLPZb968qa+vt7e3d3d3HzRoUKtWrQiC0NTUbPnibLdu3Wrh/cXkuHnzZtu2bb9xlWEGgyG5xLCZkcWmpibpzzQajc/nU7a9NTQ0SDMrAAAAgqCCTZo0aevWrZJYJj9cLregoEAy7nXnzh1ptmvbtm1ISMi7zywsLLxz505ISIhAIPDy8vLx8WnhTbiPHz+2srLS1NSkTt3+888/YWFhJBRkYmIiDX9NTU1GRkYvXrwoKyvz8PCgVIW8fPnSxsYGHyIAAKC86Cp2PFZWVhwOp7q6Wn5FnD9/fvbs2dK7H27evNlMGmjXrt306dNjY2NjY2Otra1XrFjx66+/XrhwofkrBfPz83///ffQ0FBK1W1JSQk5U8n07NmzpqZG8nNFRUW3bt3Mzc0LCgr8/f3nzJlz9erVd+fNVqDk5GRvb298iAAAgPJSwfnPFi5cuH379vDwcJlvubS0dOPGjf369Tt69Kg0CObm5jZzSdz/VbSGxpAhQ4YMGcLj8a5evbp06VKxWOzg4ODm5ta9e3fpFCQ5OTmnT5+uq6uLj49v4f3F5AgPD3/w4IGcNn7//v1r167l5uZeuHBh8ODBkpmuCwoKTExMsrOz586dq6+vP3PmzJkzZzY0NFy5ciU0NFRDQ8PLy8vLy4vBYCiqTlJTU319ffEhAgAAyosmFouVcb+b3+2goKDQ0NCPzpP31R4/frx9+/aoqCjJ1X5SkZGRXl5eXzSHiEgkkuTIR48e3bp1Kz09XbJ8sFgs7ty586RJk2S7598uJSXFw8NDJBKVlZUxmUyZb//t27c0Gk1TU1MsFtPpdMn9xSkpKW/fvnV3d//o1Dk8Hu/cuXPnz593c3ObMWOGgYEB+S1w7ty50dHRH+9Xcl70GQAAAEHwk0pKSjZv3rx3715ZFffixYutW7fu27fv269Rq6iouHDhwuzZs5Wott3c3B4+fEgQxNWrV6l2MvTWrVuxsbF2dnYLFy40NTUlrdykpKSsrKyAgAAEQQAAUF50lTwqW1tbyVlFmWytsrJy+fLlu3btksmdCtevX4+IiBAIBEpUn1evXu3fv//q1aspcnHeuwYOHHj48OEJEyYsWrRo9+7dPB6PnHJPnDgxfPhwfIIAAACCIBUtW7Zs9+7d374dgUCwYMGCyMhIfX19mezYlStXCgsL//zzTyWqTD09PTMzszVr1rRk0myF6N69e2xsbLdu3aZMmXL69Gl5F8fj8UpKSmxtbfEJAgAACIJUZGho2L1794SEhG/czurVqxcuXGhtbS2Tvaqvr79w4QJBEBs2bOByucpSmZmZmX369KH+fnp7e586dYpGo82bN+/Zs2fyKyguLo7KKyADAACoexAkCEJyLT+LxfrqLdy+fdvAwKBv376y2qXXr18fOHBg5MiRt27dkt4pTH1paWmSNVSoj0ajjRs3bvv27UeOHFm9evW7c1PL0OnTp8eNG4ePDwAAQBCkLgaDERERERwc/NVbiIqKem+C6G9ka2s7adIkJpPZoUMHSs2N3LysrKyePXsq0Vuvq6u7ZcuWIUOG+Pn5FRYWynbjFy9e9Pb2VuC0NQAAAAiCLdK1a1cPD4+vW6jtxo0bP/30k7a2tuwrna5k1c7j8ZRxITUPD4+DBw+uW7fu/v37MtzsgQMHlOumbwAAADUNggRBBAYGPn/+PDk5+UtfePHixalTp8pjl5RuMEnpkquUsbFxTEzMv//+u337dpnMlHT16lUvLy9KzfUNAACAINicXbt27dmz54suFnzz5o2+vr48zt4KhULlmmQuJyfHzs5Oed99DQ2NVatWdenSxd/f/9svGTxy5EhgYCA+OAAAAEFQmaLA5s2bJQuUtfAlCQkJXl5e8tiZrKwsBwcHJaq9tLS0bt26KXsbGDZsmL+//6+//votEw2ePHnS29v7oyudAAAAIAhSV7t27VasWDF9+vQWjgndunVLhjcLv+vu3bu9evVSoqp7+vTpFy2gR1nff//9okWLQkNDv+7ltbW1hw8fnjZtGj41AAAAQVD5uLm5/fbbb9OnT3/z5s1nn9zU1CSP20QIgrh27ZpSzMknlZ+fb29vrxptoGfPnqNHj162bNmXXi8oFouDgoK2bt2Km4UBAABBUFm5u7uvXr164sSJbDa7macVFxfLKfqkpaX16NFDiSaOIQiCgsvKfYtBgwa5ubmtW7fui161fv364cOHq8ApcgAAAPUNggRBdOnSZd++fbNnz24mC+bk5HTu3FkepUdFRQUFBSlRdVVVVZmbm6tYGxg1apS2tva5c+da+Pzbt29XVVX5+vri8wIAABAElZ6Dg8POnTunTJmSnp7+0ScUFxfL4z7ZmzdvduzYsXXr1kpUV7m5uR07dlS9NrB06dJz586VlZV99pmVlZV79+7dvn07PiwAAABBUEXY29ufOnVqy5Ytf/zxx4d/raqqMjMzk22JHA5n7969sl2nhAR5eXkqGQRpNNqOHTu2bNnS/NNqa2t/+eWXbdu2KdfZfAAAAATBzzA2Nj5+/Li2tvbs2bPLy8vf/VPbtm1lGwRFItGKFSuUMU+8fPnS0dFRJRuAmZlZnz59/ve//33qCQUFBTNnztyzZ0/btm3xSQEAACqJJpPlFsgnw90uKysLDg52c3NbsGCBPIKaQCAIDAycMWOGnOajkaspU6YcOnRIS0tLVTuAr69vdHS0sbHxe4/fv39/w4YNhw8f/rqvBMo1ZzgAAKgtOqqgTZs2Z86cadu27c8//3z79m3Zbry6unr69OlTpkxRxhRIEASXy1XhFEgQxLJly06dOvXeg3///XdUVNTp06dlfoUAAAAApWBE8P/w+fzIyMiMjIyAgACZ5LYLFy4cPXp0y5Yt7dq1U9L2MXHixJMnT6pPfxAIBBs2bODz+Rs3bvymfoURQQAAQBBUriAoweFwjh8/npmZ6ejoOH78eCaT+aVbEAqF169fP3/+fN++ff38/Oh0JR52HTNmzNmzZ9WkM1y7du3EiRO+vr7e3t7f2q8QBAEAQBlg1dT3GRgY+Pv7EwSRnZ29c+fOvLy8rl27enp6fv/99/r6+s28UCQSPXjw4J9//ikrKxs+fPiuXbuUfVFasVj84cVzKqmkpGTdunWurq4xMTFKHdwBAAC+CEYEPy8jI+P27dsPHjxobGzU0tKysbFp1aqVvr4+nU5/+/ZtfX19UVERh8NhMBiDBg0aNWpUmzZtVKNxcDic33//fffu3SrcAfLy8qKioiS3dVtZWcmsX2FEEAAAlAFGBD+usrLS0tJS8rOzs7Ozs7NkRRChUFhcXPz69euamhqxWKyrq2tmZmZra6unp6d6ldDQ0ND8IKjy4vF4ly9f/vvvv21tbRcvXmxra4s2DwAACILw/zt+/Li3t3f37t3fe5zBYCjvnR9fkZa0tbVV5nCEQmFmZubt27efP3+uqanp4eGxf/9+AwMDtHYAAEAQhP+Hj4/P2bNnPwyCakUoFCr7BXOFhYWPHz9OTU3Ny8uj0+murq4//vhjcHDwh8989epVWlrasGHD0PgBAABBUN3Z29uXlJSoeSXQaMp0CalYLC4oKMjJycnNzc3Ozq6uriYIwsHB4bvvvps5c+ZnF8pr3br12bNnEQQBAABBEAiCIFq1avXq1auvmD5GZWhpafH5fMruXn19fVpa2pMnT3Jyct6+fUsQhKWlZceOHXv37j1jxgxTU9Mv2pqmpiaVDxYAAABBkFTjx4+PiYlZtWqV2taAjo5OY2MjpXaptLT02rVr9+/f5/F4hoaGrq6uAwcOnDt3rkyuZWzXrl1RUZG9vT0aPwAAIAiqu86dOxcVFdXW1n7p2JLKMDIyqq+vV/hucLncy5cvp6amCoVCKysrDw+PyZMny2Phu169ej169AhBEAAAEASBIAgiJCRk8+bNW7ZsUc/DZzAYij1bmpOTc+DAAS6XO378+I0bN8p7gu5u3bodPXoUzR4AABAEgSAIomvXro2Njfn5+e3bt0dtkCk7OzsiIsLGxmbx4sWkTdDdtm1b3CEEAAAIgvB/Vq1atXDhwmPHjqEqyNHQ0LB58+a3b9/u3LnTxMSEzKIZDIZQKMRbAAAA6gPLqn6Gubn5mDFjIiMj1fSLgoaGQCAgrbijR4/Onj173LhxERERJKdACSwNBwAACILw/xgzZkxxcXF6eroaHrudnV1RUREJBQmFwsDAQC6Xe+zYMWdnZ7Q6AAAABEGq2Lhx4+7du5uamtTtwDt16pSbmyvvUjgczqRJk3x8fAICAtDYAAAAEASpRUtL67fffvvtt9/U7cC7du2alZUl1yJqa2snTpy4ZMmSwYMHo6UBAAAgCFKRi4vLiBEjli5dqkSrrn27Tp06vXjxQn7br6iomDlz5q5du3r37o02BgAAgCBIXcOGDfP09AwODlafLMhgMOR3swiPx1uwYMH+/fsdHR0pcrxqlfIBAAAQBL/M0KFDhw4dGhYWpj6HbG9vX1paKo8t+/v7h4aGWlpaUuRIhUIhg8FAIwcAAARB+KThw4d36dJl9erVanK8AwYMePjwocw3GxYW5uXl1adPH+ocaWlpqY2NDVo4AAAgCEJzJk6c2KNHj9mzZ/N4PJU/WHd397S0NNlu88KFC/X19dOnT6fUkebk5HTs2BHNGwAAEAThM0aPHh0UFDRnzhy53ktBBTo6Og0NDTLcYEZGxokTJzZv3ky1I338+HHPnj3RtgEAAEEQPs/JyenAgQM7duxISEhQ7SO1sLDIzs6WyaY4HE5oaGh0dLSGBuWWN3zx4kWnTp3QsAEAAEEQWkRbW3v//v2ZmZlLlix5+/atqh7mTz/9dPr0aZlsasOGDeHh4YaGhlQ7RqFQiPXlAAAAQRC+DI1GW758+bhx4yZPnizvuZcVxcXFJSUl5du38+jRIzqd7urqSsFjfPr0KaXuXAEA8hXNjwAAFdxJREFUAEAQVBp9+vSJi4v7559/NmzYUF9fr3oH6OnpmZiY+C1bqK6uXr9+/cqVK6l5gImJiT4+PmjJAACAIAhfQ0dHZ+XKlWPGjPH394+Li1Oxo/P394+JifmWLQQGBm7ZskVPT4+aB1hZWWllZYVmDAAACILw9bp27Xr8+HGhUDhjxoyioiKVOS4jIyMrK6vnz59/3ctjYmLc3d07d+5MzaPLz8/HDIIAAKCGaEq6phb1d5vNZoeFhRkbG4eGhpqYmKhAWykoKAgPD//zzz+/9IXFxcULFy78+++/KXtoy5cvnzt3btu2bWXWr3DfCQAAKAMNVIGcmJubR0VF5ebmbty4UV9ff+7cudRZS+3rODg46Onp5ebmftEcK2KxeM2aNfv376fscVVXV1dXV8swBQIAACgLjAiSobS0NDw83NLScsGCBaampsrbXKqqqlavXr1v376WvyQiIqJjx45Uvg9j5cqVvr6+3bp1k2W/woggAAAoA1wjSAYbG5t9+/aNGjVq0aJFq1atqqmpUdIDMTMzMzExycnJ+ewz6+rqzp49+/Dhw5ycHCqnQBaLVVlZKdsUCAAAoCwwIki2rKys3bt329raBgYGtm7d+r2/nj9/XigUmpmZ9e/fn7LJac6cOefOnWv+aVeuXBkxYoS9vf3jx4+NjY0p+3YEBwcHBQV16NCh+adxuVwKToINAADwjXCNINm6d+8eExOTnp6+bNkyIyOj3377zdbWVvKndevWjR49ulu3br17975x4wY185OFhYWnp+dff/31yy+/NPO0pKQksVhcWFi4YsWKvXv3UvO9ePbsmb6+/mdTIEEQ+vr6IpHoC75g4dQwAAAoA4wIKlJZWVlsbGxVVdWyZcvevHmzcePGI0eOSFKUu7s7ZcOEWCyeMmXK77//3rVr1089x9XVtbq6etGiRf7+/rq6utQ8innz5u3YsUMeu4cgCAAACIIIgi3C5/ObmpoiIyMrKyu9vb1ZLFaPHj2+++47Ku9zbW2tr6/vmTNnDAwMPvzryZMnMzMz16xZo6mpSdlD2LVrV7du3QYPHiyXfoUgCAAAygA3iyiepqamvr7+q1evWCzW8OHDp0+fPmfOnOrqairvs6mp6dq1awMDAz/807Vr1+7du7dhwwYqp8C0tLSCggI5pUAAAAAEQfgyurq6HTt2JAiCTqebm5tfvnyZw+FQeYf79u3r7u5+4MCBdx+8efPm6dOnd+7cSeU9r6qqCg8P37JlC1odAAAgCAIluLi48Pl8yc8ikUhDQyMjIyM4OHjr1q2UXapu9uzZbDb733//lT7SunXr6OhoOp267aquru63337bs2cPNa9cBAAAIBOuEaQKHo83a9aso0ePcrncIUOGXLt2TU9PjyCIwsLCgwcPlpWVTZw4cciQIRTMWPPnz/fx8fH29qZ+JYtEojlz5qxatUre64jgGkEAAEAQRBD8MtnZ2UlJSUKhcNSoUVZWVu/+qaGh4cSJE//++6+jo+OsWbOkM85QJF3Nmzdv9OjRQ4cOpX4N19bW9uvXT+79CkEQAAAQBBEEZe7FixcxMTEsFmvEiBEjRoygyPlNkUi0aNGiIUOGDBs2TOE7w2KxLCwsmn8EQRAAAABBUFk1NTXdunXr5s2bfD6/Z8+eQ4YMMTMzI3kfCgoKTp06tWzZMukj27Zt09TUDAoKUtT563///Tc7O/vixYtXrlyRPHL37t2UlJT09PRjx44hCAIAAEEQRUVF9vb27z3I5XIJgtDX11e32sDNIkpJS0tryJAhmzZtioiIsLGxCQ8PnzJlSmRkZGlpKQmlv3jxYt68edHR0f7+/u8+vnjxYmtr6/Hjx7PZbIVUi7e394ABA95dAqR///5ubm5oMO/KzMwUCAQ4ZKrtIZV3TyAQUPaWNem/cKrtYVFRkSRYoJtQ0KhRowYPHvxem/nf//7XoUOH+Ph4BEFQqvePTh8wYMCOHTuOHTvWu3fvvXv3Tp06ddmyZdeuXWtsbJRtWWKxOCkpafbs2bGxsatWrYqIiPhwreTx48dv2LBh2rRpSUlJeHeoiclk2traxsfHq8+HPvUPua6uzsXFJTk5mZq7p6GhkZCQ4OfnR9k4qK+v7+/vT6k9tLGx6dev37p165QlDqrVJ8Pjx49nzJjh5uYWHBwsfYP8/Pzu378fGxvr4uJC8e9mMiZWTiL4tNLS0r/++svf33/KlCmrVq1KSEhgsVhfvTU+n3/79u2QkBBfX989e/bU1tZ+9iWNjY1BQUFr1qxpbGwk+difPHni7e397iN379718/MjeTco3n0uXrwo+dyPi4vj8/liNUD9Qw4LCyMIwtnZWbJONwVJZgbw9fUtLCyk4O5xOBwmk0mpPWSxWJL/s2FhYRwOB92Egm1G0u/eO96LFy8ymUxfX18Wi6UOH4+4RlDFFRUVpaSkpKamVlVV0Wg0CwuLDh06tG/f3tra2tLS0tjY+L3r+Xg8HpvNLikpefnyZVZW1qtXrxgMRt++fUeMGGFtbf1FRV+8eDEyMnLevHkjR44k7XifPn0aGhqamJgofSQ5OXn//v3qdo2gQCBo4couTCbz4MGDVLjL51twudyPrnYo70NueT1/EWdn52PHjjk5OZFcMy3n6+u7e/duc3NzynYWX1/fmJgYmVzvJas9DAsLW716NXX6vrJ3E3KQ864peMgfUUm12dvb29vbT5w4UfJrTU1NUVFRSUnJ3bt3q6qqOBzOu1fUEQShpaVlampqZWXVoUOHYcOGfXjyt+WGDx/u7e199OjR6dOnT5gwYdiwYbiFgryOraHRzJclgUBga2v76tUrgiDmzp37ww8/KPvx6uvrN//lUE6H3Hw9fxE2my25t53JZC5durRLly7k1EzLJScne3h4SHJqYGCgTFKgbL/VR0VFBQUFSVJgeHi4rK76/5Y99PPzO378uGSXpk2bpvC+/9nERvFuIo/cHB4evmbNmri4uAkTJmhoaEhb+7hx4wYNGjR37lzV/4eBU8Mgbzweb9++fUOHDt25c+ebN2/kUYRAIJD8kJaW5uXl9d6pYV9fX5wafpevry+hPKer1OGQ+Xy+s7MzlU/JsVgsJpNJ5TPXGRkZBMXOXMfFxREUPpmOT4a4uDgmk7lgwYJ3j7ewsNDb25vKTV3mMCIIcqepqRkQEDBnzpyEhISZM2eam5tPnDjRw8Pj22eZ4fP5V65cOX/+fJ8+ffz9/S9fvpyamspkMo8cOTJmzBgDA4ObN2/evn1bR0fn6NGj3zjAqTLi4+M7d+7M4XDUZ5YE6h9yeHj40qVL3x2QoNqoyYYNG86cOePu7k7NCuRyuX/++WdhYeGHc4IoSlFRUUJCAqV2CZ8MUpmZmVOmTCEI4v79+9I3iMvlbt++ff/+/du3b6dsZ5QHXCMICvh8PHny5L1790xNTb29vQcNGtSmTZsv3cLdu3eTk5Obmpq8vb1Hjhwpj6ugvqlf4SQ4AABV+fn5TZky5b0rIC9duvTo0aOQkBB1m0oQQRAUpq6uLjk5OTU1tbKyUhKezM3Nra2tTU1N9fX1JRcXNzU1cTicmpoaFovV0NAgeeutra179erVs2dPiiysgiAIAAAIggiC8K3YbHZ1dXVVVVV9fX1TUxNBENra2kZGRubm5m3atNHT01OafoUgCAAACIIIgqCm/QpBEAAAlAFWFgEAAABAEAQAAAAABEEAAAAAQBAEAAAAAARBAAAAAEAQBAAAAABlR8M8LAAAAADqCSOCAAAAAAiCAAAAAIAgCAAAAAAIggAAAACAIAgAAAAACIIAAAAAgCAIAAAAAAiCAAAAAIAgCAAAAAAIggAAAACAIAgAAAAACIIAAAAAgCAIAAAAAAiCAAAAAIAgCAAAAAAIggAAAACAIAgAAAAACIIAAAAAgCAIAAAAAAiCAAAAAIAgCAAAAAAIggAAAACAIAgAAAAACIIAAAAACIIAAAAAgCAIAAAAAAiCAAAAAIAgCAAAAAAIggAAAACAIAgAAAAACIIAAAAAgCAIAAAA8P+1W4c2AAAxDAPJw+y/aXE6xUsFdyMYGSMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAIARlAAAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCABgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAgBGUAADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIACAEZQAAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBAAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQCMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAAEYQAAAjCACAEQQAwAgCAGAEAQAwggAAGEEAAIwgAABGEAAAIwgAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAIARBADACAIAYAQBADCCAAAYQQAAjCAAgBEEAMAIAgBgBAEAMIIAABhBAACMIAAARhAAACMIAMB5b2aSCAGntBUBgN8WjStRISqVs1YAAAAASUVORK5CYII=)
11n
77
(K11n
77
)
A knot diagram
1
Linearized knot diagam
4 1 8 2 11 9 10 4 7 5 10
Solving Sequence
2,4 5,7,10
8 1 3 9 11 6
c
4
c
7
c
1
c
3
c
9
c
11
c
5
c
2
, c
6
, c
8
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−u
3
+ u
2
+ 2d + u + 1, −u
3
+ u
2
+ 2c − u + 1, −u
3
+ u
2
+ 2b + u + 1, u
4
− 2u
3
+ 2a + 3, u
5
− u
4
+ 3u + 1i
I
u
2
= h−u
3
+ 2u
2
+ d − 2u + 1, −u
3
+ 2u
2
+ c − 3u + 1, −u
3
+ 2u
2
+ b − 2u + 1, 2u
4
− 4u
3
+ 4u
2
+ a + u,
u
5
− 2u
4
+ 2u
3
+ u
2
− u + 1i
I
u
3
= hu
3
− u
2
+ d + 1, u
4
− 2u
3
+ 2u
2
+ c + u − 1, u
3
− u
2
+ b + 1, a + u − 1, u
5
− 2u
4
+ 2u
3
+ u
2
− u + 1i
I
u
4
= h−u
4
+ 2u
3
+ u
2
+ 4d − 5u + 2, −u
4
+ u
2
+ 4c − 3u, −u
4
+ 2u
3
+ u
2
+ 4b − 5u + 2, −3u
4
− u
2
+ 4a − 9u,
u
5
− u
3
+ 3u
2
− 4i
I
u
5
= hd, c + 1, b, a + 1, u + 1i
I
u
6
= hd + 1, c + 1, b − 1, a, u + 1i
I
u
7
= hd + b, c + b + 1, b
2
− ba + b − 1, u + 1i
I
v
1
= ha, d + 1, c + a + 1, b − 1, v − 1i
* 7 irreducible components of dim
C
= 0, with total 23 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