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{'Nk2': 7536, 'analytic_conductor': 27.78989961270383, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [157, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [471, 1, [158, 319], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 22, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [752167488, -4078101920, -327946912, 8759286372, -1392618704, -7504659461, 1750535508, 3331588279, -877993073, -844074773, 231706259, 128815351, -35500417, -12186821, 3311913, 716139, -190505, -25317, 6583, 491, -125, -4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321850327, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': 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-
mf_hecke_cc • Show schema
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{'AL_dims': [[[[3, -1], [157, -1]], 25, 1], [[[3, 1], [157, -1]], 17, 1], [[[3, -1], [157, 1]], 14, 1], [[[3, 1], [157, 1]], 22, 1]], 'ALdims': [22, 17, 14, 25], 'Nk2': 7536, 'analytic_conductor': 27.78989961270383, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [471, 1, [158, 319], [1, 1]], 'conrey_index': 1, 'cusp_dim': 156, 'dim': 78, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67109335, 'hecke_orbit_dims': [14, 17, 22, 25], 'label': '471.4.a', 'level': 471, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 157], 'level_radical': 471, 'mf_dim': 160, 'mf_new_dim': 78, 'num_forms': 4, 'plus_dim': 47, 'prim_orbit_index': 1, 'relative_dim': 78, 'sturm_bound': 210, 'trace_bound': 1, 'trace_display': [4, 0, 0, 40], 'traces': [78, 4, 0, 304, 0, 0, 40, -36, 702, 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mf_twists_cc • Show schema
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id: 40429209
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007199321850327, 'source_is_minimal': True, 'source_label': '471.4.a.c.1.8', 'source_level': 471, 'target_conrey_index': 1, 'target_dim': 22, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007199321850327, 'target_is_minimal': True, 'target_label': '471.4.a.c.1.8', 'target_level': 471, 'twist_class_label': '471.4.a.c.1.8', 'twist_class_level': 471, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 40429210
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007199321850327, 'source_is_minimal': True, 'source_label': '471.4.a.c.1.8', 'source_level': 471, 'target_conrey_index': 1, 'target_dim': 22, 'target_embedding_index': 15, 'target_hecke_orbit_code': 18014398576592261, 'target_is_minimal': False, 'target_label': '1413.4.a.e.1.15', 'target_level': 1413, 'twist_class_label': '471.4.a.c.1.8', 'twist_class_level': 471, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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hecke_orbit_code 9007199321850327 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '471.4.a.c', 'level': 471, 'portrait': 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NMstTSn5hQV12PDJGyZCVk/NWDdVMCGqYAt6w3bNigu3+pSVXWOn2ry2PMeTx+K2XcyIlEd3vaaFne9ylBVUxw6Oc7xcw5n5xNmU3AfWTTceOUC/+HbVtg6PcbZhQnmlisstRyW25JWJ6HT17R7hmcOLDHfmb/89dccem1/1ew4dkJ84Ud+4JvC3/69P3u5IfF3evyTZvCVlRYnlgXjFfO++dkXXjURflx+/vH4VX/8uePOb/5YSM1bx5m5Okstn6WWw1ILllsJy62IpdWE2VU4uiSYmV7lP3/HEq+8pMbpuUnOzdc5t+gwt2SYXYw5s5Aw34kZnxzw6qu73HwZeLKKr3zmliucX3SYXRb0AohjTcXT1CsJE2MxGjg5G9Puwvb1LvVqgDEChEe3r9m2IWBp1QFjpchqF4IYDIblVsjmdS6dvkIog9ABzYrLto0DVnuCk+ccEu0w1ZQ0KgLfhTgW9ALJ7LLk/JJhbiXG9wfgxtxyRZdXXSmYaVZZWmlyes7n3CLMLcbMLcecXYajS4Ybrljk575jhQ3jTU7NTjK7VGVhxWOxJVleTVhpR6y0E5Y7mhOLClVv8xs/fIr7nr42fuzAxCO//XOv17t3X/aIEOHPBIMmlWrz5YbKSz7+yTL4PV/8W6686hp+/t//5C/80Ufv+7/e/yefu2hu4cSOI6dn5c1Xd3n7ayPi0EVrhUnZGyOxuSuBEAZHGDwJ55aq7DkiuXr3MpdtHVCrgOtIPFfheQ71qqTmSnpdl4MnKtzztMfJ+YB2HHHwdMD6qWXe/uoVrr6oww2XtTixGLPYE9T8AcfOGVrtOlftkqwOEvafUDRqDi+chIs3GQZhwiDxcJyIiQYcOO2jnARXxjgu9APJKy/r0e9Jrr4ood1POHmuwc4NinotZDUwrBvvsdJt85F74dnjCfuOD9i+aYlrLm0zMRny1ls6fP1tht0bGiTROMfPjnH0jMvpWc2Z+Ygz8wlH5wWnViNecckC//k7OqwfH+f07CRzSzUWVj2WWpKVVkKrE7HaTVjpapa6grm+ZO58xJZ1bTZvXJQbppZ2XL7+uZ1RKG4y8vJqoznxpU984lP85V/+xcsNmQs+/kky+Mf/+pNEYkrV5Ox/PHr83L+75+Gj6rlTAYs9QzAYcMVFq7z/B5e5bneV80uTLK3WWW5VWG67LLccVjqw0kpYaccsd2IWW3B6ReBUB9x65TLfeFvIznV1VrtN5perLCx7LLYEyy0rEVY6mnZf0w4MvUHMVDNi23oNCHzXcGbeRUif7esUOzcZNq3rMbcSsPdwg+svNtSqKzx/ZJJGPSQMXaYmNP0BXL5twJ/fO86lW2OCwDA9JomSPo2KzwsnBlTdOtdeErPvWMjcksfmKZ+dG2HbhhClIs4sgucahDBsXx8z0ZB0+j7dnku757LcViyvwlJLs9xKWGwlzLZgaZCwbXOXb7x9kVsvc6i4Tc4vNllcqbC46rDcFqy0NKudiJVOwmrHsNSF8x3F3GrETZee57/+0AJX7VK0u3UWlsY5Nbee1eCSxKms+4XX37br5559/lzyhje+4+WGzprHPymAHzx4kFq1Uj1+4vS251/Y/57FxfmfP37iDEstzdwqzLYlc33BSi/kht3z/MoPLHHNzhrzK+MsrdZZaVuQr7QdVtrQ6mhWOzErnZjltmGuJTjXNSC63PWaFm99pWbXxgphWGOlVWG169HqKFa6gk5PMAgMYWxIElDS4LtQ9Q3jTcO6yQjHHXD0fMhzR3x0XOfNN4U47ipP7R9jx0b43J6Y11zlM9/qU3EUcRIxOQFx5OK4MUtLNV59XZvPPdpg50Z48nCAS403vVITiz7PHU04fqaCIz3WTzhM1AVVX+B5AiUg1hBGhkEInZ5htavp9DSrPc1S19BPErZv6fHWm1vc9aoQdIOl1THml6sstVyW2w4rLVjtJLS6MaudhNWuYTkF90I75oZL5vjlH5jnqh0+K+0xVjt1FldqnF+ocGZe0JzYxMYN6//99p2X/tXMui2nwrDfv+iiS19uKOWPfzIAjzrP4dQnvNPHznzXk88e+60HH3lWDPoDGSeGds+y6koXVvqC+b5kvhPyyovn+aXvW+a6iyosrmYg91nteKx0HFY7glbH0OomrHZiWl3NStcw3xGcb2kmxnu84YYOt1wWs329oll1aXcq+K4EFGEs0VqgDfQGgNBMNAYcPmvQJuTuJ+sEvSoXbfa49eoekV7lgafHufZil8OzXVorTW6+useXnvJZP2nYf9Lww+9ss/+Ez/pJyT1PK269XLHca3Ps9CTXXhLywHN94qDGLVd47N46oB93+eJTChLB0TMOzZqDI6DXt7Is0YYoBqTG8TStrqHeiNi6MeBVl/d4w/UxU/UKc8tjLK1WWWnbc7PSFrS60OrEtLoxrW5Cq2dY7kpmu4LFTsxNl87zC9+3wDW7KiytjtHq1Gh1Kix3fFbaDqsdRRCC6/t687YrzdT63T80tm73Hw06i+Htt1z2ckMK+CcCcGN6Mol7bz/03F9ftLjs//Jjjz/rLqxIwtgQBJreIIvqNe2+YHUgWOhLzrdibrl8nvd93wLX7/ZYbY+xsNKg1a2w2vFY7Tq0OopWDzpdQ7sX0+4mdPuaVs+w0BUsdCFKAq65uM+GyYRuz/CWmwN2bNDEicSRhjCC+/dWODVfYeNEzPNHK6BrXLZFcd2lGr/S46nDPRYW61y5o05zfIVH97nceHGFpd4qKytNNmww7Nmv+NY7uzyx32HLOpfFbouV5Umuu7zHo88nTFbHufKiLvOtFnteHKfq1LnhUsMl2wYgu+w9Llg3GTG3EPHAXpdBpJASEm3YsTHkDTeHdLqKTROa6y6GMKyx3Kqx3PJZ7bq0e4pWV9LuQruX0O4mdHoJ7Z5mtWdY7kvOtgStQcCtlyzwc9+7wo2X+MwtW3C3uz7tnksr/be6fUk/gF4/YW454Oprb4rasfo33/stbz8yVq99ul519cuNrZc9k9nr9el04u/Y/8Le9x968fTk2fMDMA71qkAGBgxoY0i0wRgbPEppUNKgpMMTh9bzMx90uOvWZb7pzmV2bg6ZXWrie1WqvkfNd6lXHTpVSaPvMlZ36A0Suv2E9YGmHxg6A5/lhQpnThvCWHN2Nsb3DSDwlMGRgl7fVvjFPYdX7BDs3mTYtrlHkHT4/BOKA0cmeOP1PtddvsKHPm/wRI0dm3vse1SxeVwx3exRUVXCyGW+A/WKw5b1gmcPhFx3SZXbrl3kjz/Tx3MbvP4mg+v3+PKekM89XufF41V2baqxY2PCzETIzumIq3YkKKVxlAEMNd9nZtwnjFw6PY/nD7t0Bw69vqI7kHT70B0Yuj373Tv9hG7f0O4bVvuw0FPMrRhqzRY/8pYFvu7WgGt21Tm/2KDVqdLpWXB3+hmwJYMQBoEhiMH3HA7vf8b1mlPvf/G5Z5ZfecP1P9Hr9v64Vq/97wvwKOwBfO+ZY4++b9/TD04uLLbxXBeEwAcMAlDYSwhCYAEuNEoYHJngScm+wzM8c6jOoXPzvPNVXV51xYDxRpPlVo16u0Kz79HtOfbiDCT9gUMvcBgEhkGoCSNDFBnixB5h7GE0SCVwHUHFE4w3BBMN2DCt2bK+x/REiy88BQ8+4yL1GG+83uUVl3V4+MWIcNDk1lcIWv0+80t1brlEMz3eo+r4DGLFQjtCacErLnGoNQKePljhtdeNcfM1HZ4+qMCMcf0VHt/ztmW+9GzIPU/U2X+qwrYZxYbJKhONGmMNqPrgOgYlQRvYf1yQJIIoFoQxBJEF4CBI6AeaQaDpDTS9QNPtQzuAha5kvgOBHvC6a5d5+6tafMvrNXHcZHaxTrtXodvz6PRdun1Fp6/o9a1l2s/OX6gtAWlNtDTL33zqC5OLy+F//Zo3v9bpdHofbDRePpC/bAA35izQ+Z7O3P3va88+sG79eEzNqxCECVEsCSKBlAIpBEIohBBIgQW3BKUMjjK4SlN1BYu9Kh++dwtffqbNa65a5dtet8pVO7tMjddYWq3R6fv0+m4KbGWPUBBEkigWxDHpKmE/n5IGx4GKB7WqZrIRsXldj5guh89GfOSBCsdO1xn3q9x4hcMtV7fZc6jF3Y81ueniCts29vjzewVK+DQbEavdAG1ACZhp9mh3PHRc5e2vmefDn6uxe67CW2/qEUZLPPDcFFFS4ZVXrOOtN7a5eGuLLz/dY9/pGnuPe2yZlEw2BTVf4Ln2JpTpza8NaG2I4vRmjQxBZIE4CKEfQmcgWAkEyx0QzoBrL13l296wymuuSJhqVlht11lNWbs7cOn2i5WgF0j6A+ilN04QaoJQE0aaKIYwNqycWWbvsXvWHVsw73vXm28xzx9e/IOrLn55qhP/lwP8Qx/6U546M8HP/doT39mPZn/59Vd8efrimQHJ1BR+R9DtOwxChRNIlBRIIRFCIIRESQcpE5QS6fKscR2D7xiqjmBloFhqTfDR++s8/nyXW69Z5dtev8q1u1tMJVXi2Kc3qNDtu/QDhzBSRLEkTiSJFmgjEBikMPieplaJ8b0Qzw04uxTwmSclR854HD8zgdI+uzd6XL5Tcf1lbZS/wHNHG2wer3HlLtgws8Jyu8lVmyWxNnzhCZ+gJxmvx7zplQM+/UDEqdkGl17kcn51wAvHXLaun+CanQs8vK/Doy8IgtDjsp2TXLbV57ItHY6eX+bIWXjiQI3Dx+rUHIHvSOq+oeKClDaoMsberHECYQxhIugGgvZA0I4g1DHaDLjh4jbf9oY2r7kqYeOkz2AwxlKrQqfr0x149PoO3YFKi9UE/YHV3P0U3IPQAnwQGoLI3kC9wAaqx1dWmXjy4+ve85rnf3myvik2nQ996LNf9nnbO77pny/AP/axj/HYo09z6w1Xfsuevad+/SP3nhpffm2Pn/7GgMnxLgZQysMdODhSoZRCKVJACxyl0meNoxJcR+A5Gs81+K6h5iWMVwSdwGWlPcHHH2xy794B6yd6vOf2FpdtHTDod7lyp2HrBkUQuSSJItHS6nsMUmpcJ+HknOH4rGC1r/nUwzXOLk5gQpeJimLTlMP2DQ67NsOVu9toucgHPl1neXmMmy5zuHJ3iy/vFYjYZd2EpF6L6UUe0kgwEuV4tAaCuWXBFabG7dd3eOTpKpumPW66cpLvftsif/S5Dk8crNMduCytNti5qcqlG3u88pIO73pth3PLy3zqYZ+lns/J8y5nz3q4SiClRCDSuAUibUhizcRUxNVX9AiCiMu2Brz79oB1Y4rJhk8UVTi/UKHX9+gFdpXr58CWFtyBYBBgV4IgYRBqgjCx4A4N/dDQD6AdCGa7Esft89rLzxKtrE4/vv+GX4/EzijuH/+Lv/3UX/O173jXPz+AP/bAR7n5tbuE70bfcPLU+d9fXTxba/iSTz48wXe9+TS7N/QII4UApLAsKpWVClJKlJQ4SuCo9NkRuE6C5wg8V1NxDdXIUAsNY5WEiaqgF0o6YZ3jZ+r80l9Mgo4Rccz1V/fYuSEkjkEbjTE2iSOFQCqB43ocPOWx/0iFesWh4Umma4KZKcm6SYdNM4rtGxMu3b5KIpb4jU80OXlqnJsucblsR0I/7vDYcz7jVZepMcN4I6RWtVJIa0lroFjuGpZaCa1ulVdfucqT+3scOKUYb1Z45RXjfN/bl/jNT8LTR+p0+4bVjsPccpMN0zXWTQzYPjXg//6GHs1ai33H4eBpiesalDIIYetxMJbN4xh2bEi49aqYJHKJYh9jagxCl9lFj35gV7RBqHL51g8Fg0AwCC1rB6HNygaBlSSDSKfv2aMfQicQrAaSxQFcvqXLO1+dsLxS4/DR8+PS935/cnpr/OLRqY9+8A8/bL73u//XMPn/EoCb6FfAOaDOHTt3V031P+Qk5ypXXgQvzkWcPxOjVEjFV9QqHlmaXUl7sVTK5I4yuI7Edazm9FxF4EqCUOOHCUFkqEaaINKEoaEZQxBpghjCWDCIJEHiEyUVDhyps/cAJMZgoW21sSvBU7bmo+HDlRuhWYWxumSioZgad1g3Cds2BGycWSUyy/zGJ8Y4emyM63Ypdm2R7N6ywn0vxMwtjXH9TslEU1Px+vjSxyhBnEiEMcRJyEq3wtySy3WXVXnFJR0efrrC+glBrdLguks0P3LXEr/+Sc0LZxusdjWrHcXCisP0eJ2JZpWJ5hjNWsRMPWL7dSG+G+M6MUolSGGDCYO9qaJIMb/gEMWKKFaEkSKI0udQEkSSIJQMQkkQChughoIgNFZnR6nWDnWq6QtZ0g8F/QjagWQ5FARRiDQhVT/kaCfg4CnD8srh2vTG8EOxO9Cf3tf4xDf+xIeSj7z/O7/6Af7Cs+9n/4GqisPBuwlf+OMdU/OVdbUx6vUBGzev8Ff3amp+jO8FVP0+2WXJrEALbIOrlH12JJ4r7EVwBYGnCCML9CgyhHFiXZG4dCQQJ4Yk0SQaq7c1ObiFACXBkeC64DuCii+o+ZJ6TTFWk0yMCdZNxmzf0KNRX+UTj4Q88Nwkq4tNrt6m2L7R5eKtAxKxyheeqFF3HWYmFI3agOeOYjvutxp6geKaiyOu3m2YPZ+wsOLRH9R4840dHtrX5/BZRb0q8b0mV+3S/Nx3LnH/C30+ff80S23D9nUJKy2H8aZirO7SqLnUq4aKr/E9je8kOMpKLZm2lBuDTVhpQawlcSKIY0EUS8JYEEU2qA9jCCNBGBnCEIIoIYxsAJkRRxBlB9YmjCy4O5FkJRS0Qg1RQBBoHnpe85d3BzyyL2KsIpjfd7Tyxtcs/ek7rl3/L2YmJz/2qg/8TvIT7/2Br26Af+SLG6Ug+KbVTud3Dhw+Xfnhrw/YMNEhGSRsnAq4epvLfU/bfsVmvYcQVqIopW0g6SS4joPrOPihYuCmbONKQk8QRsJenEjZKD6S1kGIC9svTjRJYt2FxKROSeqWCCGQEpS0ssdzBL4nqfiSelXQrBnGG5r1kwEzEx1is8pHH5L80eemWFepcPU2wbaNLjs2abZvXOETjxmWlytctkEx0YRGLWLuhGR+xcfbCUEkmBmTjI/D4eOGlbZmdrHCxTsq3Hl9h888WGGqAb7noeQ4V+0WvPet87hynr99eIIXz1ZY345YNx4zVlc0qopaVVL1HXwPfBccxxKDdZ1KIMfe2ImGJBHECSnQIUoMYQxRlFhSiDRh9hxpwgiCOHNlYBDBIBb0Q0E3FqxGgnak0f0BY5Uud9zQ44VTisWVgImxZVCKV2zp8/W37q+MNa/7/Yu2152qX/3Ln7A889UJ8N/+g0+SJPo7H9xz7Ffue7rV7ITbODTXYUOjj9AJi51xjhxX+H7EQmuVH35Xn/GGxvdsls1RCZ7j4jourpMQug5epAgiSejaVLplHGGZKGWlOIYogSSxToLWNuDS2mQ9nCm4LcBt4CpwHQuQig+1iqZRjRlvxMyM95meWOWRAyF/eneVg8fH2THmsnsDbNngsWU9XLqtTS9us2d/k6pymZlQjDdgvBEwMRbjeQ5C2JurH3gstyNWe4ZWN2Z+xWPbhgY3XzbP3U/0OHi2Sc2PcJWHEGPs3qz49tcvcsOl8/zp3Q32PD/OUtdhXTNmvBZTq0iqFYXvCnxX4ro2VlGK1D60KDfYHlatyYEeJzpd3VJrMdbEiQV3HFnbLz8i68oMYsEgEvQiQScWtGMY9GNM3Geq1uaHvn6Z//tbO/ie4F2vilnqtDDaYaIu2TLdYLVzrtnvTPyG613tHXvxr/9o1xX/eEHnPxrAV1fbKCW/94//7BPvW54/M7VjCpb7DvOLk5w4M06YaAwGKgmDKOJXPuKz/+gqb39tj9uv7bB+OqTTqdAPfFzXw/dcgtDBj6y9F3oW4FEkCWO77EZx6mknpNYfKXNLtKEAt01SpswNjrIJE881VDxNtRLTqMRMNAM2TreZa/X4rU+5fOHJSZZX6lw0I9i2TrB5nceWdYKdmwY43ioffsDh2Ok6l6yXTDQkY/UEKQPOLhh8RyIFGCMII4ft69o8QUK7p1hpG+aWq1yypcK7bm/xsS97nJjzcZ0IIVy0qRPFkut3rrD9m9t84ekef/6FSZ46UWfzhGC6nlCvJFQ8ge8KPNfGKo7CBs5S5DUZBnuT6SxDnFjAZyCPEyvpLNghTEzqb6fJo1jQj6ETSzoR9CNN0gvYMt3mtutWecdtXd56Y4InKoQ9l92bJLuxtfDdXoXzS1VW2xVavYWpaR3+8rU3vVP1up0P1uqNrx6AG7MEmO9+5slH3zd39tC6yYa0skMmVBxJpyboxQ6DBAaxS+j4tCKfD99X5f59ba67rMs3v77P19zUZnosoDeo0A89fNcljF3CyMkDpThWRIkkjiVRIohjSZIIEi0Kra1Fng3FkMogmyxSabLIc+3KUfVjGtWA6fEu/ajPl58zfOS+MfY8P86E53LVZsPGScn6KY9NM5It60N2bV5h34k+n3pohjHlMDMmaNYFzVpEq5fwuccqNDyDEBZY/cDh7bcGfPZxWxPT6mrmVxy2rGvwzld12XOgw/7DHnU/RklhQa5rDEKr9b/9zhaXbJznw/e3efTFcU6tVNnQFIxVDDVPU3E0nguOEihpb2TL5JCVH+lUqmldrHBxCnRLEBAlgihJgZ0IBrGgFws6CQShJg5D6tUu73zjCt/8+jbXXZqwYVIxGNRpd13ixCWKs2vl0g88egOXVsdjcdXlyNnD6+Y7D7/vhptepU+cW/3DHZvG/2kDvNNe5tS5Aefn3O84c/y+/7bvmYenwsGAWlUR6wRtbCbSVYJaJCzAnfTEKZ+B63Km7XHu8TqPP9fjY1d1ePfrerzp1lUmxzzC0CeIXMIoPXEp0ONEESdpwiYpAG7b2MDooqZMCJMGlbaOw3E0npvgexFVP6RR7ZPQ50tPS/7i3nGePz6GiHx2TBg2jhumxxUzkx4bpiWbZiK2bWhzeqHD7366ThxU2bJFMN5waNahWYsQbki7X2e8YRBCYAxEsWTSV8Q6phN5dHoJK23F2YUqV+xq8P1fu8ov/6XPyYU6jorSG8MhjisMQsmGKZ/rL2pz9a4uL5w8y0fuq3L3U+Oca1Wp+4qGB3XX4DkGV4EjbTpfiOHqOg0YbW+6RAsSA3EirH+eCMLEJon6iaCfQD82xHGMjgKmKn3e/LpV3vO6Nq+5Kma86hDFNVZafn594hzcDkHoMAgcegOXTt+hN1DMzq1y6Oy96xyf//bWO26Jw+7cnwy0w1hz6p8mwFdaPaamKu84eeSJ37z7nseai0sDQOIoyyhVH0AgpT3xbgx+AlVlqCWCXpICPXGZD6r87Z46D7zQ45X3dPnRr+9w+bY268YVzZpDGHmEsZufxDhRKbgliZZoIzHGSgKTB5Rpql8ZmyxyYnwvxlUh7X7EQjvi1z5R4fj8BE/vH8doj6mqYN20YXpMMNVUTI27rJ+SbJiK2TzTY2p8hS88o3nqxXGu3iKYaEgaNUmzpqlXQ4Qb4PsOjrK/3xhIEkk/cOgPImIt6PQ1na5hue0yu9Tklku73HzFKh++p0J1WeHIyALSOMSJRxjZHs/p8Qo37O5yw0VdnrjtHCcXJH969zjzqzXOLPl4SlJ3BV4mw6QNPHMiz6QKlsljI4g1RFoQJDCIIdQGkhjiCKkCNk30uXq7vR43Xp7QrDrEcZ1W15JPHDspwNWQJRmG1mfvBYogVCRaUK06uPGAZx67f6rm8JuvefUrVuh2PvUPicl/MIA/9ewBtmzerH78537/okH7SHNdtY+UPoMwRghwlcBzAWOQUuBIgyPBSyBU4MdQSQw1JRgkkr7j009clsIqdz81xiMv9qn7Af/iLS22TMXs2NTnlis7OMK2iAlh5YrNStpaaWNKzI1BSIMS1jM3xCBjXjguefKAw2f2NHjhVIMwrtFwFDNVw2TdMFEz1gdvOkyOOUyNCzZMxmya6bNxZoUHng/4wGfWsXHcYaYJzbqiWRc0ajFVP+CRQ4pB6ODWLaiMEYSxpOIorr2kz+PPjdvCp37CattlcdVnbnGC73/rHGcWl3j82RlcCYgIDTmAglDS7TtMNCqMN+vcfEmP267u8c13LHDgtOazeyrsOVDl0LE6sXAIAkUvUqi89KEceKY5AaOJ06IpVySMeSEVIm6+rsvOjQO2TEd825sCqp6kXnUJwxqtjkuUraiJYyXjyBFGkjCSDEIL7ii2NfaeA1q7LC4t0V74m2Zn9rmLxrf8mFpZOJRMzFzyTwfgL7zwIrt2rPceeGjPd21our/yxac69GYU080Eo1OfWQk8J/OdDVIIlDS4icFNIFIW7H4CtcRYzadhkLgMEpdeUqHTSfhvH57AxBHrZwZcsW3A1FjMu+/ss21dSBSJVG9LKDE3qf6UUiOk4OP3V9l3tI5wHE6eq3F2rkalqhjzBeN1Q7OiaVagURWM1RTNhmKi4TA1DtPjMeunBmxe1yYxq3z8oSb9bp2LtxiaNUWjJmlUNY1KjOuGfOHxCkFP4q6z3aKZRKlXFW9+ZZ8Hn9F0A0m3n9DuOax2HGaXaly+s8G7X9Pm6RdqnFxuoKQGolQvu0SJdZMGoaQ7cGh1PRrVGvVqwOVbBtx06YDT8y1OnF/FcRP2HnP42H01hLKFa4iRuatGAxqMIQoTtq+Pec+dfaabCZduN6yfgiR2CcIGcWy7puKoBOrEEkwWE9mA38ZGYQnkQSSIEnsehATfNVy2w8XVA06cnvyVevfJnlvb/UdHDu8PL7r48n8aAF9aOM2gt3jJ7NlTv3Xw+SflrvUKz5UkOtO7AldhAzyyxIrBUYI4NjgJuLoc3EBFW9kSaUOYCAItCRJJqF0iDQvdJvft0xgS/maPHdmA0emRpYtSiyyvSJRIpYgjB6kdXEfS8GHnjKHuamq+puZDzRfUq5JG1cqhsYZkoglTYzEzEwGbZjokrPBrf13h4efWsXsKJmope9ckjWpMrRpSr/WpVmv4SqJkqsGxciCKXAZ9QT9I6ASK7kDT6WvbMlf3ODM3xquvCPiRb5jj/R9zOLXqI4TGmAidGKLYtawY2DLWRt+hXvGoVSvU/BoVP6JRDbn+4hDPjbjx4phve10PR8VpEkgjhBkW5amk01oihMR3FeAxCByWVhxbt5NkMU8qC2Npg/xEEaeFa3Eirb+eA71wuMLIJpmSxP4+paAfehw943Lo5LNy6y7vt8Ymew/F0eD5fwhs/v8G+P5nPkazSfXUyQN3tRePih2bK/QC60FTtubS/n2R2XPCanFHgZMU0XtWBRdr246VR/ba6kN7CEItiY0k0Q6R9klS26v8yG8mAY4QNlOpoFI1VBxDRSX4LvgOVDxD1RdUPUmtKqlVHAvwumC8oZlsxkyNB6yb7LJp3RIf+Izmz+9ez9ZxxXRD06wrGjVFvQa1akKjGnF+SXP0vE/Fszc0ZJV+gkHosHODZsP0gPbAoz8wKYtLVjsOjWqFRm2cb3vdPMfOz/L7n9qMIx0MmkQnxNoQxQ5BqOiHtiiqV5HUBg5V36XqJ7Q6Nsbw3ATXSXDdBEfaRgkpbTpfpIctXRGASEEuaOm0ylLbuCZJJFpLYp0F88oGpYl9L45FCvDScyxSd0ukFq5l8FgLdGJjgDCydeytruS5Y8+Ibds7d23fsevob33gY/0feu+7X16Af3Fvz1vXnPvpq9ef+OlGZSAnmxWkgjC0vmqiDVLb1Hv5UNKgEgtYJ7F+dZInH+z/l/1sD1Ok2dNKOevlijxQKmtuIM3k2cDKkRpHktaQ25jAdYz1jR1BxZdUPEnVV1QrikZV0qgZxuoJ442YyWbA9ESPbeuX2HMo4MP3b2Ki4rO+oWnWhAV3VVKvaOqVmEYtYM9B2HugxkUzJtW9Rdq8HyhuvNRw8bY+Tzw/Ti8w9AcJ3b6TgtylVqlSrYzzja9dZu+heR7fvwGMQuvE3vyxIY5MXk/SDxxqA0O1oqh4Gt9z8b0E38kywrbEWCmdFrHZojaEQVDouSI4F+kwpdSR0pn9WrJi01Jjmxm1pQBJbMkofy/JQJ66NOl1tzkK8rr1bk9zfqEvz7VP/8frrxl4r73O/QUgfNkA3un2Zbvb/9lf/93f/Qlv5yFPqS2prrInKo4FUhu0NshkGNyJMqjE4OjsRrCMrbO7uwRwnVtZBp1m4rJkhTGGUuZ9aMXNUtVZQkfJNGOpKBVt2eyf7ykqvqLqC2pVQaNqaNYSxuox442AqbE+m2ZWePxgn5/94/WcOjPOrmnNeA2aVUW9qqhXoF5JqFYiPHdAa2CLxVxlA+vskWjLcFHs0axG9GKdd8j0BgmdnqRVVdQ6PhW/wY4NET/3XS3+04ckj+1fj0GhjSZJNHESE8aaMFIMQkXfl1QDRcWT+J7B9xS+o3Fd6/c7KiuDSK9FKlOEMMMNumlq36QkYnQG9HKOQaQATUGegjpJUoBnwI/t66hMZElBXHFsiKIEbTQaQdA/7lWE+282bPlBNwj+xb/3/erfO53/9wa40asYM/iFA/se+LGwtVzZ88JmNk75JNqCyk3TxNmdrmTKyim4k8QmWZLEoFXG2KKUVk/TyWkywmhTsHVaBpodjAA8ld0lOWTBrZS1y5y0Fc11JL5nBwBVfDuSoeob6hVNo5bQrEWMNUImm302zazy+IEe/+mPpjl4apLtk9ZhaVQl9Zq07F011CoJtUpElIT82T0NpFK40qBEYRNqky3hLt/+xhW++FRIJ/TppQDv9hWdrqLlO1Q8H99tcunWmJ//niX+wx8JHn1+PdpIEm3T6lFsC82CUBNUbLmr7wsqrsD3bGbTc0yesXWURirrjUthbKNEBvAi5Qmk5xqbS8g+e6IFJi9as/65zpNr2TUnX3HjNcAuSieyVV4bUEqyZZ3Lhukpnn62VTm99OCPv/ENd4rz8+2f2bju7zc96+8N8OPHXsBgbl6eu6e6acphtdug2ze4rgW2o0rsmX5ppYUFtzboJAN39oUt0+u8VqJov7IMLmwdRQbq7MSPfK4M4FkNRpbJy9jbcbK6E4nrSlu/4Qkqvp15UvMT6lUL7mY9ZLzZZ2a8xZ4DPX72Dyd54eQ0WyYEU/WSNKk41Cu2fqVaian6Ia4bcHZpAlcJlNSpLVcEmUkiiWPFxglDHEe0o0raKaPpDxI6A0m1p6h4Lp5bwXXGuGxLzM9/9wL/9g/g8RfXkWhpAZ4YojhJmVwT+JpKKBl4KpdgrguuYyWarVOxNq3MvPH0+QIYt3KFNCmEyJNDObjTbHGSlN7Xw7IzA3aROR253sbeaBVXEYaSw4sRTx17qHrFFRtvluLvv9PO3wvgX/7S3QhTr/3Cr3/C67Y1W2ckYw2Dcoq0sDR2kprKToAqqti0FmhpSBzSWohRYJsSa5sSY5uCuV/is0lRFFFJCVKKHNxKyrRRIpMnUHHB9zTViqHqW/1cq0Y0ayHj9T7TEy2eOjzgP3xwgudOzrBpXDFT14xVBY2KpFZR1KqCasXeHDbVH/L4fkF34FFRpDeZ1eBZE0KiBVHsUK8obrmyw54XmvQiK1P6QUKvr+j4Ct9TeK6X6udxLt+q+cXvm+enfg8e3b+OSEsirdNm6aIHM/Akvqcte7tFHb2jsoNUphREJNMs74VAniWFTAngRU2LGCrgKiQl6BzYZgjg9hqbokbIgJDWVRPCsHnG4TVbA9pnPueZ5rtqX7rn7t7r3/DGf3yAnzx5mvUbtox/+Z6/+d1tM+a1y8qn6is8xxr3ShVLXQbGTKslxgI9v+M1aCUuzNolQOsc2EVTMKn2zi+GsAVFQqbgTouMVA5w68W7jmUyz8V2AnlpgZWfUE3lRaMaMNboM9Fo8+yRgP/wwQn2nljHhnGHmZpmrAr1iqBeVdSqilrO3gkVP6ZRG/DAXo/VVoWJiSJNngFGp9o0ShTrphSve0WXB57Utosm1CWQSyqupOI6uI6H41SRUnP5VsP7vm+en/o9w6MH1xFphyitALRlr5bJ/Ujm1YWeI3HShhFHCpSTnRvyz5fdhNn1E1lVGkVCaPQYArouPeuCmXO21mbtNdal6k5t0FIihKYfKE6e9Zlfla/dufvIH9x119f9y7NnTq1u3rLtHxfgYe8s50/P/1Rn5cQ31d0WjQ2OzUw6BkeavMg+B3jqehSFPZCU7vhMfiS5DEk1tzHDgeQoc6dIzzJyufaWWQVdobuzikFHYeszHIPr2sbiiqepeAnVSkytElGvBDRqAybHWjx9KOCnf2+aZ4+tZ924y7pawljNpOBO2bsiqfqW/St+TM0PiXVAJ/QRSuJmDJ5rcJGyW1ogFrnUvYEtFwgrTGQgHyT0PMvgvifTmvhsA1rDVTsMv/wv5/jXv6N59MB6Iu0QJIIw0SmLCyqRxncNnmt7V5007nDSHlclZXp+0q787LlUmJXfmOVYZwTcOQmViCkD9xpQ67UEVk7ISZHYmz8ytLuC4Mwc3fDYN214fO/RKIz+7T8qg/fap6g2tmx/8YnfubrhnmTTjCGKtf2AF4jEh3RzVtmXjhsr7nSRn6hEl0+YKDFFkZUsrG5TsHY5qMyW27RDR6XBlOMYXGWB7Tkmrx6suEmqmyOqlYCJZo+xeofH98f8zAemeebYembGHGaqCWMVQyMFd7Vi7cQM3FU/oeLFNOsh+08Y7n+6jiclrtJpECdK54W0oEkRa4fbr4+4aFeXo6eqzNTI+xwHQUJvkLKwo3AcNx14ZJfxK7fDL753kX/7e5qHXphhEFVtMiw21NIabt+12ULPyVYvnfe2SpXkK5ySogRwUQJ5AT7WgNwMAzwHd7HyZkA3GeBLDF8mrQLkqRsvNMZYyTW39zTtcM/V7/sP791+6MiZk5dctOUfHuC99hx+ZXzHuROP//cwWHlH1VtlarxCGGmrq0tALJazNHWe1TroFPApqMtLWmFHpcv4qEuyxi1JmXsU3HmzMjkY8rY3x+A5GtfV+K7G92IqXkzFD6lVAibHeqx0ejz4PPziX2xg35FpplNwj1cNjaqgXhG5V26dF23Z27MAr/oBYZIw6FeoKHuTSVFa+inOiw00HavlncB2p0eiBHCN5yV4roPrSjtVQLo5wBFwzU7BL/7LFf7bX8Y8emCKc60mg7pkPDE0YkMlnTjguyb1/jMnxeTsnUmVDOD5500/tMjPeSnwTC9KAdLSKl0Gu2EI3EWAWlqhIb/uue1rbMIvig2r3R6T8yvv+NzdjyW33nTtjx85Nnviol0b/mEBfvL0YaSq3TRY2XtX1H2BetXHdcK0Jlvm3qjJEwNF8JEty7rE4sX72d1dSJmy3htm7WFVmF0EO+4hY2+TyhNTGg5ky2JdR6djJpIc3L6Xgnuyy8JKn/f9WY1PPTbDYneCmTHJTCUFd8Xq7loaWFZ9Sc03KYNb7V3xQyDk3mc9ViKPKZ+heuyhuMRYHR5GDk3f4c7rejx+MKQT+YzlHesaL7C16p5jAe4og5IuQtoEDQYu2yp5/4+2+ezjfX7hD9dzZnGC/rjDuCdoxJpaDH5kRy97yg40crNAU4o8CM6ey4F6+cYUIu8VKVg8v1YlsJeMgVyeZmDWI0DP47Ti/0lMlvCzDRZB4vDgU0fYvWvmrm1bvD9rtfsn/kEZ/NRswNSkd/EX7n3gX0ULD3Ln1S2W202CyCEMnbTQxtYg6HISIAP7COALrV1m/rLmFsOsXZYl6YnOmCVLN2cugMoArmxM4DjZgCA778RzEzw3puJF+F5Eo9rHcXo8sDfhDz7X5DMPryPUTdY1BdMVK0usBZj55Co9RMrcZfaOcJyAR14cpxc6bKxln2eUwbMgWxLFioqruPnyPrG2AO9HgkHmhoR25JrrZBanSoFos48WbILpccE33dGl4Z/jDz/X58EXp5iNqvQqkmZsqDvGgtxJ4xCVlkkok4I8O4eiqB2XIClYvCxZypckZ/ORldesAfdaQJdX8syBiVPvPEwEgxi6sWS+pTl6cg8nDj3NavelPLS/B8BNvJ8n9nyO3tjkJjl46rZa7SjjUw7awCD0CVzbgBDmNdlF+landQxZEJmze5nVh2SNGGHukvVQtq+EGZEmWVbOVgza0W46rflOwa1sLYbvRnheRMUNqdUGeF6Pv7jb4Zf+ZB1HFyZx/QobGoJJP6HpG+o+1NMO+6pvs52VNCFk61eSdCWw8mSxndANPTyl8KTJA0xKXyVLWCVpzUYYu1TdARvG+6z2GvQjkY9m8FyN6yapzadSu1NZgA8Frrby8R2v6XLjFQv84p8O+PMvzLAc1+n5LnVX0nRsDY7vgKfImyGcLOkjyW/ILAssck1MSa6UxcqF2Jxh+fESLF2WqFmSKKtHD2Pox4J2LOhGmqAbcPz4eZ498or/1Bx75f6f+2+XPffWt7yDm6/Z+f8P4GGkuf6mm3YE7ac+cPLofXzmcQ9XxNx+zSp+UKM3qDAIEpzYFrkneWeNSkGuS9kvkddpa11cbKu/yuAulbqWHiItRyzsQFPo7nzirLZFXDlzJynIYzzHShLfC/DdPifmYn7/s3U++dAUx+YmaNZcJisw4Sc0fJOm3jNwyxTcMk8KVVLt7Xv2xmnWAz7xiMPhk1Uq6QSuvF2MAuXF6mXJIIodLtsOb7uxwx98fopuzaEZGQaRwQ/TuEFpHEemU74ogdwtsZFdFbZNS37mW3tcvfMMv/eZSY7NjrEcV+m5DnUlqKVA96SxN07qMuWrX3ZeM/sQq8+LTKcZgXhppc01dInNSz9nTJ6UVvC8XS5N5weJ7dRvxxAEMcRdXn/zEm+5scuj+89cfdfb3vLRd3zN7W9ZWGn9T6XKVwR4txfgVTw+f9/jW+597OTuD3+2zvnzU9yzp80PvXuRr72lQ7Mao2QVJ0wIlWtrghNFrDW6xOTGlDR6KfgsgD0iS9ILRsbYGchFAWyRTcDKa1x06ppk7J3gOrHt3HFifD/AcwI6SchvfdTjDz+7gbNL42hVZXJMMekZxjxNLWXuWp6+l2mdSipNUu88B7dns5dBFHL4jE839JnwUxcnSzplrkSWhTWlmpTIoVl32LklRPkDOmGDvieoRnYsmpfKKzeVKE7megj1EsGrYmasx/e/o8ddt8/yh59t8/sfn2KxX6fvVKg4ipojqCqDHxvL5tJKFUcW5Q1ZlnMNkzMsV3KZciE2L4M7NxwKsOcFdlrYsuhE0E0EnViThAEz9RbvfPUyP/yuPhdvdXjj8bNUJ/fsbjrulp1XvfqEMQFC+H8/gC8sLDA+Vp9pViofve++A66MJ6k1JQfmKvyr91d58M45fu772sxMpDpYaSLpoBIHlUi0KsotdTr/L/+iQ1VrBWuPlPzkp62wA00O7CF5ItMqOZVYgDvp2Ak3ouKFeG5IaxDyyD7JX9zd5OMPTTFIGniex5QnGPc0dc9Q8w01rwB3xZf4vsRPpYlNDKXORApwz7WZz+PnDQ8+VSOMXPy6WRNgZo8inW3PTRgpXNfhdTd2+PCXuhw8U6dfsfNeAtfgxeBGGjfUKJUOJU0Hk+bDfShkX5KWtNZ8h/Xjff71N/a4fFvAn9/d4Mn9Yyz06wyUh+s6VBxBVYIvUxs1s1elbUrJC9ZE6fyXyKYM8vxzULqeZtgV0ynATZoPyYqyQg0DbZua+4lGhwN2Tq7wc98/z7tu0wx6TRYWa1Rcn9W5I+7U+jd/tNNpvyKOOgt/bwbftmVSHjx45KYn9zw0tnUyoebAYjdhvucwL8b4iy8Zdm6O+Ol/0aNqQAQaJTRRonHSoZY6kSRG5vIkkyiF3i40OKbsklBIPWGQGZPnKWWdl3ta3W1wVGIBrpJcjjhORKsb8fDzgj/+fJO7nx5judVAVis0qopx19D0NDXXUPMMVY+UtS1zV31JxVNUPEHFI63Q0ym4Nb5r9bdyAg6dgbOtik2spPp2OHFSAMD2QVqQx1oShg7rm4KLt/Z57lRML3IJ0hnfXogFn0ryQaQq65gfqdMo3KpU/iS2Pvw9r+vzpleu8OVnOnzoC02e3N9kqVOjJT26noOnBJ4U+BLbwyntLnVKFDepEmnZ74UAPkpJa1i8KJTLjlgLYmM190DbxuYoSTBxQC3p8D1fu8R77khotcZZ7TRZ7VRZblWYXfQ4ufTY2BVXi5u2bN31eb7C8KCvzODz533P1b8T9Wfr0+MuEGPQGJMQaMVy3OBj909y61Uhb7hhgDHpshZrYqXQiSJRGXuT1xQbSgBHlCLx4d9fnMCCrXMGT7W2SrtTlExQMsHL3AwZsdCJeeAph8893OBTD44x364jKhXchkvTgTHXdvJUXVLZAVVPpIdMS05T3e0J/Iy9M4A7MZ4XU/FCjIm492mfk+erTE8KXKlTHSuKRt8S22Xlp0kqKfqBy/b1gtdd1+OTj4V0I5d+JKi4Bi+2LB5EprRKqdyvRsghmWIPWTQqaOu3V/2A99zR5w03LvE3D3X47MM1HtjXYL5Voy88+p6D4yocIXClwJUSV5hUahkkIpVcZvg7jXy/C8kUbYS9qTMbMAV4aARBOgVX6wSSEJX0uOOmFd51W0AwqNPp12h1K6y0qyyu+iysKpbOnKrvuPiVvzM7O3s50P97AXzu7Iv0en2SuEe96hBGtqgniqEdGlquw4HjVX79Y3XufOUSrmPZRAqN0opEpjsQ61Fglw7KjQqWv/Pi+9yeMqVDp3agRkidyxHPiahUIgZBwsGzcOKc4iP3jPH5J5vMr9TBreA0XWpK0nANDUdTdQ1VFyquBXfFtTMJbZmpLB0i/XOTglznIPdc25529JzmueM+uG66zJtSin44LVjWpXn9dGLHOV+1M+CKLV0OnK3RrwhqscCPDIEitfZ0yt6Zm5JZkIVWKZe1JlqitUqnD7gMQpdqNeA73xzw9ltW+eJTXf7qSzVOnKtw4GyNcNUn9h0GjoNUdqqvIv19acDpiJI2J23oHmVzU1qt8qYUy9gZyGMDcZr5xFhwowM8E/Bj39Dmsh2wtOQyCDw6PZ+Vtsdqx3YvLS132Pf8IaqVr7x7xEsC/NSpMyIIBv/qnvv/crrTt40BzbqDMdDpawtKozFK0B3YhktHhTnApVaoHOAiHeOQOrcliTLkn5UYIWNtK09sUsNKEp3u8pDg+3aSapwkzC7BPfc5HD1T5f49Vc6uVDl6rg6+j6o5VBxF3THUHW1dBNcOzq+4tkHDgjg7ZHqoFOCkmjsFt5vgu5a97Y0VcnwB9p+o4cphezCXKBT14LnDkDcQZD2NLlds73Pxuh7PH4vpxS6NSBA44MV2JqAqAVxKgZByiMmBYX85k0FZ32SiiBKXwPVoVkO+/Y0Br7m6zdmVNvc+4XHstM8Xn65xbqlC0nfR0iHyFEiVb0QghL2dZF4qUZiHQyxOGeTp97bLjG0vzHtoY3voCJIQoSIavsbEKi0Cs2MylloOq11JEMFYw6W7fHT67d/4Tf9qaeHsL0/NbL6gOf6SAL/v/odIEv1NR4+v1Bs1QbUi8H2HWkXRbPZp0ePMQoIJQ44dU3z+UZ+77uzDwBbMKKPQuthD3g7fyXYkJgf6BR95xF6wdi5FVILrJ0SJ4dhpwXPHFPfsqfH8cY8Xj1dpBz5B6IProZouvhLUFNQcTbXkA/tOVqeRlc3aunA/lSWep/A8md4AptDebmIzi67V+RUvwuiQuWVJYHwcR+JJg1Oy2UbrOjKQJ2a43zGMXQQOM5MhUg3oRi49R1inIyoKxhylhzKQMjOpAbJhRwhMnoMQJftW4iYqHz/RCzw2TIRsWx9x/a6AftjnXxxv8fwJj3ser/Dc8QrHTvlEsYPxFUYqEJJElrJBQ8n80WvJSMYuBTYpaxudPsdgEkSQ8JbXD9i5K8KrxNRo8+LxCi8cm6DVEQShJjG21dAkrfrB/U99k5Tql/8/Mfi+p+9hZbWrnnjqgJgel9SqNrhy0uzX9o0Rb71tliOne3xxj8ORM4pqxc6TrlRjpE4seLUkiWTB3iZf0PLX5VteCHsChLR1IwiNkIYoNPQGltFPnJH85d0+vUjx7IsVjpz2Wex6BIkHjgfKRTUVnhRUFdSUoaKw48xUWnikLGt7rrBJjzK4XYmXyhLfA98jdU1sytx1NJ4bpxnRiGolZH4l4Z5HG7Q6PhNjAieND7KirwsFYxmB5QGhlgSBYnpK8aZbBnzxyT6nWnX6rrQyxQE3NrhR5lmnHrtMrF1IedaJzH+HNk7pd1ige4kicRSxq4gShyhyrZXqRtS9iNdcFXPz5QHvvG3AodOSvftd+qHiz++pcXzWBSHp9R2SUOVtU8ahyAaVr2sO8FKglQNcI2KD0OkmBCbB9xN6ASytKJ7Y6/C5Jyq8eNxDhprtM0FaQAeea6cIP/fCcbFhy8Xqk3/7xfidX/umvxvAhYDJidpvbZrqXjNRiXFd8gq8WiVm/VTApnWGO67v8w1virj/6Qr/+n80eMXFVd7z+oHt3kgMM+Oaa6+MqFeyul/L3uKCVqDIh/O0eoK9+1yW2pJqBfbsd/n0QxUGkWIQKc7PemjhEBkXLVxwHITv4EiJpwQVaaikwPaVwVfG1oA7qefrFMztZX2ZObhV2qMpcvb2XI3nZQVaSc7enhehVMh9zyg++VgD5TnWbhvS3y/N4JkXnmV/o0QxGLi8/dY+n3qkzZ/fO0Y3rlBPdbib6fAoS8qYvFtICJkDzP4qWdL6JYDrdKyDY5ncdRSx4+DEiQW6SlDKDtKfqMTcemnMLZdGGBHw7jt6DCKbQv/bh3ye2O9R9QWLbcXe5z3aPZmqpBGQZwxWYnFjoF7RXHttyPR4YhtfEsN73jDg6osSfu4DTR58qspSr4mqjrNzApSOqPpZwZhgaTWiPVi+ZsvO+m8Zw/f/nRjcmGVgonn68F9dunXDiur3wrT1y+A6CVU/ol4d2AInI5kYM3z5SY8DR3wOHBd8+st1++9oGJtIuOmaiEbVfvi1ua+RtSx1HVa7iief82i3JNJRdiaKcSwzCcfewtIB6SClxJXCglkafKnxpAWCp8BTxYw+C/JiTLLd40fmjcdlcFuGT8tq3YzBk9IR4zsRxoScXfQIgwr+mMRL094qrcobymJmHT0U6fUC5JJE2yGVEw3F1ukQTwzoxz79WFB1bPo6qyHJElpKlstbZf677O9Icw9alxpPdNozWUijOE7SvIFK9z+KieIEFdlcgqMSpIzZMq3TFUNz+bYBoekhHUOrJXjyOYfVnkTlimU4qB6+0raMtl4x3HxNyNiExiT2f6kpEAruvMHlU/c2CB2Fg2Q1kHhtQy2wZKWkDU4XuoG6+Hzv0p9479c1T5/vtLduHJ5SuwbgB47MIsTiL88ef/KOjeMnSBoNokQiSAdVOrb6rlIZoJyYh571+PQjNWJpt/lqmSKqaq8Yzt9HqZbEDH/bsnYsLW9GCHS25QJpzamw2k8IiZAytbIyUKdpZ0m6cWvmG5ee07veVaRb75GD27Z12WFFvmcncPmlMtMM6J6j8dLsqOtG+H7E6UXNn36xDo6HK0URYOby5AK11SULLRsSasFmB+uEkcu3vanP3zzQ58W5Bt3EpRbbTWltFaApOnFUlhOg8Kizc5mtFJlNq4uO+CQFepxIHEfhJnZeipsCXckiaWbrxtPXQqcWbYIjNMJopmuar3m1tsOXROaAZftnmOK9UlVo9rPQAp04RYVoYpBovvZVfT5y7YAH9/rEYcCCrBBrRT2011kICBPoL3S5ZmHfHaudK3/Z9+If/J8y+I//4mcB6bnJGX7xe1fZsi6k23MxCJSyDO77AUYMuO9ZxU/+xiSnZyvguGmByLDoTMpfaCiNMwLssn7L/w0L5qwFTQlwhU0r+8JKAUdSeiaPE/JCIofSHJSMtYuu+gLgMpctvmfyljbP06XBOTFuyt6eEyFlyMlZwUK7gnAcfMmQPJFi5B6mcBXKTR1lfRwnijB2mWoGbN/Q58BsQD+xo6b9RNhRd3Gqw2NyZ6lIoavS+Re57LXBftbNLkrSSOMkmkRJlJNtX67SYrUEqXS6UujCmhXFZCz7rJFhuvlVySDInbCh/PRLrOIisxsNMknYui7i1358mZ/8dcFDeyHoaOZdnxVP2VmNwGBg2DHd5mtvepJxJ/S0XJvvWQPwuL+IlIJHn3f41MOGb39Li43rBcJArA3nlgwnTgiefK7K7316jAMnKxjXtZIhZdmhuXcX7IguByFiqHkBIZAUKWI7lQpcYXAF+dBOVXqdv6eGQZ6NiHCU3VzKcYp5KBbc0j57GdCz4DMFd9b94+hcoriO1aeeFxET8dlHqswtVHHHFF65hqPsoAx/44JZS/q4nPQZBHaC7Vtf1eWRfQPacYWe41CNNWGaTleyKIjKCs6E0BSdQ1mgKSgXOllnS9tki7K/09GCWAmcRKa72NlanjgFepFMy4LnlMVTE0CkVq7ISnizQUJiFOBmjTQvCuhKSTyRoI3iql0Rv/4Ty3zgMwFPPNfjxGyFs4s+YWITW5tmAt51+wLX7xC88NRyelN9BYDPHvsCnld/9cH9n73xv/5Jmz/4RIN9xyJedW2EEtALBXv2euw9XOHk+QqdyLNzz8rgpliPX8ojLV/0rFpNlp4V1mbL0sRKFD+rtCw269hx8meRj0IoAzufg6Kw/YgXAngWcGa628lkiUn19nAtuedGeG7IbEvz9JEqOB5OKk+cUoFSnghZYxiJUudKuS9V5p54FLlcd1HA1Hif1kqNXqyoKXBj+11UYgcnqagMcNvqVSSA5ZqCNttwkOYmlCbRAlcLEiVJlCZRgjgFebl4bRjcaXlEunKIbBXJQJ7PWMkAzxCbr8WDyZnf3jQaqTVx7HLp1oif/54+J2cHPH3YYc8+j35osXDrtSG3vKLPF/dM89k9m298452ve/UH/+LrH/7eb3n9hQF+dqWPUsnXnG8Prl0dRBybn+DgPYqPPpBNjxJEkbKt8Z6CmtXGQg6zrsyBWxTlXwjUovT3ygAvj1yTGZhLJZxlgCtRlHra5uKsU8XKEpV3rxTAzppvLXunmtsh19uZJWgZuwC3m1cnRggiPvOQzyPPN5C+gyeFnb+dVxAWbXRFxd9oNrOoz8lq5xOtSLSiP3C55co+b3tNh9//TIMw8ekmkkpiCGLSlatc9adTOadHbqiXYnLQjkw73kUO7kRJlNKW0aVMR0voUimyzqs3s0I3y7p6qBguA/awVCFnWVFi87xSMWPxUkIvjD1clXDR5oRdGzVfd0tgt75B4PuGRLg8J/o0x1rX+t7q10gZPXxBBj956gzjY403ffiTd3/rH/51yHPHN0PdRSGIsoGtAmQ1cwdKMgI7AkxRXFCZf+DSEj0C8hzg+d07zOhZzUN5tEHG4nYLkgLsTtZBr+zrIRZPu2FcNQxuO05hhLnTnk0vbW9znazhIC4dESERf3Vvk8T4qDx7WQ4wi77GzNkY0uAZi+ctfNJOh8pq6RMHgct77uzxZ58NWNUR/aRCPxG4MTmL29ofkRedWbtwVIvKkjVZKnrSgsRJZ5aoFOSOQWkrV+x4PVvBaLPHcmS+pB6p7izKmIW4EMBNCQdFbf+axB7pSpTeRKHQ9AKTd2xlj0Fgz/Gtlxs2T59nbH37W3de/Jb7lxfPfXFyetMwwMMwot8PLuq0+rtbCwHr6z5BUtQO6GJ1yT+MBaIpGPuCYDYlBiuxWfpcMNxw5V3GggWLD2vODPTl2R5KiVyLZ6MRhobdpMB2lCiclNwOtB33tjHZpMxdBJhOib19N+TpI5LD5yoY5aKkxJM6lVFliVKckDWlpUMavGiAyJI+SaKIYpfdmyKu2NXlsUNVIuXRjwUVCW5icGJhiUWkXThxqsORCDTDv1KUWFyUpFG5o8ZOPHCUzmdHqlT6FeBOa4GUQQpZqskHIXVOWJQYPAdvBmZR+lQZ2DNsvMT/iyhJm1R22Qy5lXREhiQMd2sdXKR19MU1DN5uL2P0gG6vbzN9ShNlw3lG2o/Kj5di6Au9HlqOSgwuRsBePJfAMlSIn45fLjF41umSM7ksxrQV23+nzF0a/mO77cmBnWcrc+ZO8Byb2LFdQRGGiI/dW2NpqYrwHeu7l2/CEWmSX88hH7yYJlCu4869aa2IIofpSck3vK7D00eaBEmFnvKoJlaLZ+WsSpKCO1srdOqJZ4W5qVQZ0eM6m/dYmkplD4nS2Ypk8tcy31bdILUutlzPu6vkEHPbOviyXHkpFjdrMFJ+poSjC02+zRps4qjD4tIiOi6KCwuJcuTPqFcF5+dCYu3Q8MHD5LNKMpAX+rF4faEAsvxzwfrpqS6zeCpJKAVKUgyDfXi8WMHYsszgSpRYPBu0KVHOMMA9Jx0A5GZbB6YZTsfg5ql4nb5Ohg5H2c6dF0/CR+9uEEgPJVWavRy+EUczmCPmQWnuHyM6PNXiiSJOHPzE4RveOOCPP99j37EqkXLpSYmX6NQ9EsjEZBlzew6lyJnQPnT6u4b3LSozeaLByS1Eg5NkYyW0lUJ532Y2l0XkN7QodVXlwKYE8NwlKYM3Oy/lytFhoJf74vJ+gfxzD3eG1SuG5/c/w2OfPIrvFRLNATh3/jwbN2yove/9v7bz2OmjNKuGig+UgF1uOcqqw7ILNPoQ+X+GgV12FIb0eZnxLgTwfM7g2nHIssTYWZCZTW1ynGyT11R7qxFwOwyxtqu0nRmSt4hlPZ1xekQoN+TwWYdO6IFyUnliRspj165QQy6KGWai4SRMOmBeF1q87gou3Txg3+GQRPv0tUclsTXbTqrBlbAbudrEUmbLabIgs2ByUWQ407IQJx/QZN9TGhJpAa9UxtjFhIBsulaSdffnBkChvWVZh18oyMzPTwlAo4xNUUptd4QbnVlun8GWHW+e1rz7jTM7X/fmn6z9zI//ZG/dug0W4Atzc/S77TduXb/1p1x9mJnxolinGHVbmkyUVTrmd9YF0rFi+PWoBl8jUdbIk6KPsZidl+0MUczxsCCnqJFWJVDnr9MkjyL1wi24LYCLoUBuWZ6U2VulfZ1eyHJH8z/+usFSv4LwXStPpBlaVYrBOWuZe4jFM7mSjiM2ZTclTd3HsUOz5vBD7+rw5aebLAUeoXToS4mX9lAWIx+ygF0UbCh0nouwzSoSYzQGOeKsiJTBTT7LMQO7kiJlcCuJEllIEylNPplWDgWZF3imrMWzc1OSKRdIB42uOEWzdpE7sMTrEieGzRO7f+rgoSMPx1H/b3IGP3joAL7nsbR4hqmmQeOU9nkfHlaeafKhWYEXAvjID0NMfiFwMwyM8ualo8C2QWYxf1CqYvyYKoHakRInlSRODvBMc+s8qHQdnYPbdbL6i2H2dlWE54V85F6XF45WQbpIKfGz0tjRmKFkF71kNWGJzfOmgJJMibVMN3lyuWp3j3e8ps0ff76Cdnz60sOXIk/6KCmISvJglMlFmclLjSblmhitQBm7KmgjLLizKWEaknx+il0xRD5+udwETuqFl36mAHnO4qNSdgRB5U4vM3JubH27SHeLyHaQkLTaEX1zllbPIY5sb4IDWKbQCrAjyaRUhLEmirP9yw2xNvlg82I8l8hHdv3PHhbEonhd6u9b4xmLzPYSOZtn7CjSzpKXBrgsAK5KNdROWpfikksRVxVuiVsaDlRobsvermOnVq20NH97X4PFlg+V1D0RpWDsJSQKYqR+siTv1th2mWWY9bMmiih2mGgqvvaOHp96ZMBS1ydUDv1EpvakSN0bUcQxssSQKbCNKbp+dM7mxbAlJ3NWVPpapj9LSNKAPgN5IkWqu0XhpGSrbhngAOmfrbUF15JimbkZBbcR6JFtUaJI2G3GI0F/IPE8h/GmR5hufOKcPX2UsbGJHXv3PvUjh/YvMDXh202SAk0Q2gKbSIKMrS7LJvMPTaUqfaDyh6T0JYaclRTsmTaVpZ/tCSq89lyiZMNopMjBLcusnepxO9ydYXBnOxtkzK1KzL2GwbNxE8XICUfZzOXxE4JDJytofIR08ubconqwHD+IkqtRnIhyLUrB5KWRd9nw+FSHa22DTYzDZdtDdm8csHSgikk8y+KJlSlOycUpLLZyoVdWhy1L0jJlc1P45FoWcyPLsY1KgS4lqfYuSUdRrKxSGoQWBYGlnyNb0ax0EhcE+JoVbogA0hHcGbhjSRgLglAwCGEQGIJQcPjoOWY27P6RV1z76mcPHjx8wql4IdDbsG4ieNOWqTkafpNWV9DOBrYjUm/VsrhMDIkQaGlrvEcv1kux9+hz1vbECHMPyxNRciZEKdgsAG0ZnHQUcNkHLx/pltaqDO4SyNP96t20NDRjb5X+7DgRSkV89rEGhxer4BXyxC1Zl2slF/A/uYjaMBJwZhnNYS0ehg67pkPeekuPJ16sgXaJE6vF3SQd8plwAS0sSvo2sw1lOlZNFMFm9lqmr2W6qsjsECSKNNgUBdAzcGtTurEtY9valNJMmDVd+eYrnJtCRhU2Zrb/j2XsMBL0A+gNDJ1eTKeXcPbQeXZeGr9pVzfY0O4lJ5yqH6KciMmxPhdtbTO75CGlV9r73aT9l0B2ApN0BJcsRh+XF8Pilcj/O5rgKdwFUSSKZAHqPNDM3hsBdq7DlSg14ZbAnc4nLLbtYC2wnWJAUD7izdEpyGMrT1REtRby2EHF39xXpz/woObgSIErhqXJaIA5GnusuYiM6O8Ry7Dsi0exw1jD4Z23D/j8Iz32HPQwdZd+4uMJ8htN5b+/bMtl4C5APlzfp4sbTFk2T6TV41oWu3NkAafOtbco7QwhSoFuugrnTJ4BWozocVFCyQiGTOGcZOfFxoLZloQQxhBG0A80rU7M7HLCkVlY6NipYN3A4AzCPlJ7GDpMjs8TG4dWb5LllpdqXwsgbaxgT9ILlmXBZIruYZCv/eBDAB/R3mVQDwE8kyJClJZAkR9KiXQOeAHuAuRZ2ayxw/lT5nbSTZgcNQx0N2dreyhlA0zPC4nChM8/WuPFUzVwXYRUKajSuSHlLvOXqCIcclTKrJ3GMEaP2F/5NILCLgxDh8u3xbz5VV32nqgSxB6JdOlrhZcw8lkEQ3UfIyA3I58Fld1sGq0EKhvrIUU6DqTIeuYrqiTdIjK9NrpYNeRoPHIBo6H8PLqyZc+FBi+yrdkWhcUmCoZeYJjtaJb6IZEOSMyA2AxwvvPf3YOUDv3BCktL69k6Kbl+l0EYG0hmEkLJDL22dFYKU1raXrpXp3yB8wu9BuQlgJcAXbB4sQNBIU1KVmHO2BnAi8mpuURJmdsytsmZ2smfi9duGlw6KsL3Qp4/KfjiIzV6fQ/qLlJklYOU7MELZDFL37N8NrJaFIuuYrLuaPlsMddE5d0+jUbIm28N+NQDA/Ye88HxGGiJl2pxpUElJQdDgEgKeUBSBnsBbGPsypdLF2nZPGPPTHNrCdJYMGfuVjaMaWgF0wWzD9vA9vePxmajS9sah0mXWbyQdlKC6yh2bYa73rDEzESf6am7GRvsoebGOKa1jBECEcbUkiZJX3JuHsbqtodIUADQSHvvCyMwwvry5YGLFwZ4OXpeG2QOsXhZopQ1dw5yq7fL2Uyl7JfMKgqdvODKsrXK54OPgDs93GwKbVrg76jYHk6E60bEJuEzD1d58PkqVByQtqHZzdLkZVAzcpR/uJBEGbFbTTaIVBeOSqLlENCDgcttV/V466t7vHCyQhy7GKHoCwc3If9MIilYvPgIF2by4vcblMqY27K5/VkgtUDLAuiWvVPA60yHpzdWHnyOXOPUvhwt42DNp3oJkGcuTypbwH6Oek0w0ajiyY2QhKwu+7RWEzDgXLLVRwhh53tHJq+RFqKoWS7beEiRW4QilyfDhtQaeZJSt7gQwEttXeWdBYaAPSRVymn60qEKcGe7OuSHU2yCmgHaLYE6c06sY2KflYrw3IhnT0g+em8D8EC6CGE7StzMGiwx5WiwXEg1MQKw0gVkLUvlR2Jb9yxzqTx9b4zDe+7sc8+jA548aicJRFrRS0RRR5/GSrYevzRPsEyTaUUjiiGgZ3+qUtBrme7nkyf5Spllk/4uUwK1LqpBhSzd/KWcQF5kJdbiZUimUEpG6UIxlMFmDLS6gkOnfBzpUq95uJ6L0Qbnqt12yY1i6PW1HV8QQRBAEOn8XyqWWzvCywiTJwyGfln5w5Z0Z/nOlSUQiKHXWRluuuwN6e7CrRgCecrWxWZTlrWLAfgFuIdYu/ScNdZmUkWpGNeNiZKY+/dUee5IFdKuJUcKPGFKk2PLgdXwJk7D5D0MLVN6kZfOXiBjl80Y1CrbH94hCF2u3D3gtpssi/cTy+KB8BhocBJRBH5JZhdmPm75Cpmh2KmsfZUEowzSCJTBZj+NyFdvaUQhVXJpSYm90+uqyze+GQG4GMLIGo95aHUZdp1ynjB22/gg1IRRQhRrPE/hurZFz3nNK2yL2iBIWFhOaPd8Flddzi4o+qFJl8wC5FJkd1AK8gs+RP73iy/DBQLMUuZSiJE9YkbqTwT53jt500PWfDvU8FBsXeKoIqDM5oU7OaiLCbTKKQE8lSieE3H4vOBDn28QRC7U3FSekLemqfIuwWXnZEiPXYCeRhg8Dzop0vXDRVijWtyh7ku+4809PvNgnYNn7c2XaEUvUbbKMBH5PEGEQSTpWI5kmIZMBvQSmCyg7Q0nU40utcFIe42MFBbguhQrZUyuy47Y8CFLuY9RV+2CNF46T2XJkv3VDBdRrJlbjlhua5a6hpgE5QgwBueR89+9fnX56X8n+p/mtqtCLt7ucN9T0yytjhMnpX+5bHulv+FCo46Hg0px4Tt2KLAUwz/nIC/YerTISpZqP1TO3gWwMy0+Cm53COhJ6bmkvdPgMjQxn7i3zrOHq7bdRzgoYTOXTlqDXW4uLssUShf1Kz6GNHh5m/J01J22K+rQBCwt0dohHLhcd3Gfd93Z5df/wqOvHdAOkZD0tcAtuxpJkUxjxFnJHBTL5qlkkWCUfa0MmDRbalLXzJTALU1KRmZ4FcskS1m6abGW9Na4KmtP0RCbZ38nc6tUWjx3erHPk8djJiYS7rx+gfd+w+3/7vprrn6v8+KxA+MnTvXect+jY/z17oSZMUHYlVRFyFjdbnethoJCkYK7KHO98A04PC5BjPwbFwJ5vtSVgTNUB26GtHcO9JIkKbO3ynd6MDnQXbVWkhTPFtyuE3HonOTDX65h569Y9nazzv3s94uSbBLkfv5ooCnKP+SyZFj3mlxfDgdTJi3qT7SdEGYn9qZaPHH4xtf1+OT9NfafcUGGGCEZJC7ZoKk8rklSdCSl4abWMsivmMrXfptiz24+WXrOj4y1jfXDjRZ5wGkk6DXuSQmYa1b1EXK8AMiHboT0/3GULZqbaCZcvCPia16zytR4zCVbBmzcMPuW3qocd8a9hOmaYcqvcP6sw9w5mK4bvHFbaOUog1FijaQYlSE5rPMPW/z5cHAxIkvKOlYOvx5icWFKwWXpdc7YJmdxtQbchSxR6WulNKrkdytlD0fFJCrm0w/X2X+40N5CSDuyIu+gWctQ5Qxm8bNYc9GGWIkimM/ZvDRLPSsucvL9jjJ/3EqVyy8KePuruxz9sE+YKBAOiXDoC4GTZGOPs0DXlD6TKX0CkTOkSZlcGRtjWYfM+vWqvOIIU6T4BWhp9boWhYVYjrEy9hZ6rXRZu/KX3sv+PL33RLrgZJrfumMw3axw8WZbk766qollE69awbnx4iqbGh4Lp2CxbWdaVz2B65bZtejBLPZqKfm7grXSJL/bCnAX9QhiJBgZrhwcBnjB2tnPOWunLO6UgF0G+lpwp5o72+JEahyZDbWxYHfdiGPnFb/9iSYDmY3DcEpd86NN0MMbYr3kWjvKSuUMcCYNTFHMb4YCTVnMTVHSjqbWDnHi4icxP3hXl7++v8bRcw6oKJUqLn0hUJk8SfV4kR4fBnnmzWd2YbbCaITtuU2tw4zBVWojSlNIEpP+Hi0F0hQe+Ki7NKq/R1f6IbIsjJbUxbMZTlHS5EEkWW55BKHdt+jUeYHbaFKpNXAu3d5notrh+U1tFlsT1KvYYe+ubRLIkjy5iZ8DvGCnQoKUgF/6IvnoiIyl4YIMWAa2GGHtLJGSgduCXpfAXjry4LIM5FG/u3RIK09cJ6Qdan7/U03OzvugrDwRUhbWYElz569Zy0oiY03xlbE+7BIUO0MX4M5S+AV7580QUpHEDptnAr7vHR1+8UMerchOPTJGEmhlbcMk+xwGEkERPRUgN9mHKX/aNAFF+tmUMWlmM9Xh0hQMbkrXzli9Xdbea7KaayzDC4B8hDjTvGOxdVPq/g1CiRCO3WmunnByoUO03KPZaOC0gxWOzA547IDPeLo3TcWX+QQox5GFFy2GwZpDfOSOzMA/mqJdo8kuwNzlrJgqZ8jKhf0yC/Iy5s6sQl3S4gWgrRwpSZR8q5M4f3ZUhONHfPwzPh/4WJNAu1aeCIUUEk9QNBWPWGJDujv/7mVkXxjipiDQklVY1udZyt7Y3epK+x1lIyZi7VBxYr7/3V0OnfT4w09bLQ6KREgG2vZuyoScwYsCrIIm899JYVcaY3V5Dm5jmVmJwrKzpJMm/7LET3puTKmi0JQBXfLGCxZfm91c83PG3GK42tA+S7S2HVo3Xx5xrt+nn/Rw/ubeaebmoYLL1Jjdk8ZL2Tvfw7wkT9b8wpLsKN99LwXsC4I7B4sZkSglcOegT0cWXIi18/eHwT3K2ip1TYpnO2tweQX++ss1VoIM3BbgrrTa2xHD8mRo1cnsshKeL4TvstYuM3jWHjgsTyjatMrgTux8bqUVWjvEicOYl3DX63t88uEaSx0FMgKtiLB6PJMppOAevuXKciX7lCIHvSolhbL6FGms5jYpi1tAl9jbDF9jy+Jp4imXM5mzA8OdPmuxVMaUTn9PvkNbkhVfKbQWTDabvOrKOs2xCs66SYFjBINNLs2Gh6OKzGExzHGtxh76xRdg8TXL9UuCugC2ECW3RIxKE8PoNt1lcKt8OE22zYcZAXdpF7ayHs+ck1rMZ+6rsOe5KjrT3jLtuRSZPBmuN8mnSTFys4vS69L5WftI2bNkFZa3wS43Q5R7ERMjUabwxePExdExN18V8rZX9vjTz3qgQhASIwSBdmxHVApbWWLu0tUsQJ764CrbrCD7WRYyyshSoVia3S5fU5MC3JRirdJc1iF2L6uCzMoc1d858DPMpdNoc3koBWoA7a5iadWjNuEwGSucm65IWFk21IwijLPNW4c38RxqSTPlX1i6VGWAfwVg506DNMOuiaDo7Rtib5ODXpUBngLbBpm6AHwmU4ZAnQE7SbV4KlFkjJJ28PvRU5IPfabBbMez+11LO0xUCYodGy6w+gzfzGII8F9BnRRsXjq/F2pGLgebplyEldj9c+yz3f5kfT3hO9/W5eHnfI7OSRARoNBIBsLutVN8h8w9MfnNCCXQ5nKFIaBLaVBlNhf2tQVzWsKRAlsOAb3IqBbBZiGXcgu69HmGHChBTgb5+TPFe3a1MyTa0O7GDJRgckrhTDYNnkjYvSVktevQ7UvCyO4Vnm2vnDcZlwF/AYDL8lIyAoA8kk+7poZ7LsvzT8wwwEXhlsiSJCmYXA8FltkcvbLezgLNXHfLBEdaaeJ5EUGi+d2PNHnw6artbUtnLUopbdeOKOav5M0EQ5uk8pJMXsZ5+XytzWBmoCrAM1w+Wy6j1ZiSXZgkmlg6qNjhtutD3vueNj/7ux5BLG0jqpbEqatia7SzzzZU3pTfUMiCyUkL7AzC1qZg2VxKm8K39qCVaCb7WZi0eULk58sC3+Re+FBCDAo2z89f2a8vPmbu8qR4TFJQ283RNP2BZnYpYmx9gvQ0TsVfRsfLTI6t4igHJV0GoQV5FEMUpzOsxQirj7BUEWBdyFEwQ4AuWL30/oXYOwe3HmLuDOyONHm3dzEsspiGWujwjL2T9O/EOYO7Xsy9T7p88sEaQehC1cm1d87emfYfkicjzF0CdhnQeWveBei7XNiUN9kOgRuMShldD9eKJ1oitZUqGdDj2KFai7nrtj53P9jnnieVtQ2RICSRcOhTCvByBhcIXQLTiLuiUvSbrC5Fpp8zbYoo/yzTWhUjbcm1kaQBZmngU/r+hbBSJsjRRbBY5dJxc9r2C2e9w0FkWO0a5nqabhwwSPo49+yZYGE5prNc4bVXa2pxgqMMAyUJQplaMYZY2MIZPVLJNXwXDrN5uUZDliLnovu61EcoC02rpK1CU2WZIhkCdyFTisGQuRzJGLw01zob5m41twW350asdg2febjGwfMVK02ELYkVmfYWlCZIrWXttUX9ZUB/BX1SXmazhEpZoqSsmYN7zXCgIn0vpULqBKkdosDhkg0Rb3tNlz37PVphmn7VVo+HKLJ9IGRaOBdnTG7KEqBI1WdfpSxZbOm01dIy1eEG0Om11SM2YpHBTF0VA1lz+ZqYpSRVBIUtmIPb2C1yLLA1QWgII0MYwyCE110b88ZbHSbGKzgCn5pbRVUaBJGhVolxHXvS7BIgi7ECEjt1oMTa+R3HWnYugztj8qEAs6Svi/eLmRtlQI9qcaV0rr9lyRYcZW4pS+ydJ3psp7wm4U8+W+UDn2hgRCZNyuxNob2HrMELyJPSzU0Z5F+BvYcq+UoSIV+CS2PzRqfQZlJFJxItrS+upCZKXKTSfP87exw55/KBTzpEcQFyjSAQEqWzQRJZitB6fqbE5KZsIcq0fDYFet7xk+rtzF7M3BQpigDU3gTDrXQZqxtRBnraZ1Dy6TMpR/pJTDrRIZMmYQSD0NAPIYrtznnddo1+r8ZY08e5fGfIoBfSWeozPQaeGxNGiuWOTxhLBmHpqozUl6wF9/AAzSypI2SaLh6VIyUpkv19lQO8rMULaVJ+ViobzG4uCG5VsgZlyRJUMsL1Io7MSj55f51u14Wq3QvS7gcpC+a+QFvaUIPDiPYuVMr/PMlTMHgJ9CXJMjS3RGf1HiWgy1LqPg04pbQzDRv1mHfe3uPzD1U5cj5NKthxqSRC0C9/UlEwOErkY8tU6nmqslwRGcEZNLajJ896phOGc6CKVNoIYZl9qOe2ALrMgT4i+9LMzpBEGTl3UWxo9WC5B0Es8R3oBRFbjgUs9wOcK3a3CfvLtMfPk6AwJMSJyyCaJEl84rT3rdi4ddgevBCwRzV2vpSXZ9l9haCymD99oeBSl34eHtBedkxkSZ5kLJ6l5B0nJog0dz9e58vPVEtD/LPEDjaxUy7yEmII5PnNXU4/F8L7wrr7pUA+CvTykU5fyxjcpFuRWN2tC5miJYlQqESjhSIOHF5/bcjrb+5z+nMugbY6PK2EIsYhEFZuyHx0cKq9ZaHBC32SMXKqybNYVGZSqvjfMmaWKQuIkUDTjAA9SwLlcxVN2WEZ/hiZo2JHhNiJZr1IM9+PGSQgkfT7sHUe4go40r98tUL/86cG0dd95D5Y6XpUXYe6ktRcWXiUI8ttwdylpIcsgD2cBDHDoB+SJSade5K9ryn870yaFMmdbBvvIZBfANxFtjJNxcsEqWynjvRiHnjS45f+aIxEO3aYf6a9hczHsWXyRA19p+GJtxdi7yFwfyWgjyR71siUIfekmB1otECLwlHJE0DSeuNC22FBnpfw09/V5uAZhweekGhPpCxuL0akFX3KdlwBcpM/Z1rbMnnu/qSLgh3hZwFtUja3zGzf1ymQTQ70rIk5vQlyLxyQNti1CbPyTVZaDXNJI/AUNGqKndsjKrUVav6ApY7hkw9N0xif/PyVV1y6qprrVff5w3NH//aR5nv/9HMTHD4+welzDQZ9F99VSFVcxezi5Rd2BNxDxVFqbaJGSfIppXnQqCjm3mWOSBZYquFCqtEkTvGcBZc2ieOUAO+UEjpu2mt5ZlnwSx8a4+Fn6lBxreetbEuaIwVVSb6hVLbBVb6jwpojbYDOh+QMDyNSabuXVCMN06VzVvxcbuAdyepewKIc7n8s745gcjadnorxHcOefR6r/SwYSkGO1eSp+BySVzmwyiQ+YnYOlxpk75Xu6CHpNWyLlHbtsa+H/ni45S8DXrZiKmEnl3meYnrc4dqLBLdeLrjhEsnNlyRsmnEJ+ue+s7u056Dz5cdmrFMSRbxiS8BYzVDzYawuEcLOJcwmGA07JWX3Y9TLHmbowiLM5Eb5/y9lKtMLtEaHy2IbDTt8vdDehVOSFBbhUDo+ThM6FuSJl/ChT43xN/fVMZV0U8a0YlCIoqjKkWa4v7Gsvcs6seSeMHKh1iytw9d9lMiHeg0LFi/kSrnDR6dJFa1Fmkks1agIhdQaIRxkP+GuO/q8eMzllz/oEPpxAXAhMNohTPlS5JAu++NFhaGSI2ye6vGs4CyTI0VwWaTvpUzTktLWrOQyRpTb6VJgS5vvl7Io/hKlP7fdXsU4kzPzHp3+OLVKg0Y14tJNDlduczDG4Fyy2S7LSWyIowTXk7gq295D5tmoLGIeumhiBNxy5HVpQLosNaCWnZLyPi8Z8IfcEzGsvWUO6hToopR+z4FutbZMNbdMGVyqhC8/4fNHn6szSNIp+CI77Camec3JkBwZnZp6oeq4kYB7jTp5Ka2S6tuyJBixC8sltCYHdBZo2npxmUoUrSVGWl9cC02iHXxX811v7fLoXo97nmlgRGylSvpFtBEEab8luvgslD9TyVHJGFiJ7M/ICxFFGssanQWXaUYz/3smHw2CsH65BNCp2yIpillSkGe2YREUp59BGwahzdP0Bg6uo3CUQ71ewXVdC/Bdm12EsPMmoijVSIh8KPoamqG4eOU0+3BavQTiciA5srSqfLb0KHMPB5vlHb5U6bkIIIf97qEab2ltQceJ6AXwC38wxrGzPsYpsXfqe9uGBtJtQdYytxTD312w9hhZa7+iIB+dJzOc0SwXXw2PWRuqTRmqOJRooUh0NptbI7SDDBN2bY7599/T4tF/49MZpHejLj65RhEYkbsoIge3vckyAayylracya0XnrG1TL+IyKsJC21uRIFdI9PEkE6Bng5btZPliootkX3/su+avk40JKGmN7DDf2za3lCtJHiePSfOLdfVUFLS7fVYXGhjcIhiQacvWe1IgrB0MfKVpFTkP1TCmmrRCzghWUpe5bIkA7Jm1BIcdlJGAV36ecQtyXfmlYVNKFNwxwn85scbPHOgUnje2ZHWnLjClNrRzFBwWWbuoVLPIfckm/tR1iSmBOzy6+KtoQrDcgloXoiVBZlFnYpOA02j052hpRiRMFnloSIRDlIbrrss4oe+vsV//8g4YSKBuPgSWpBIRZiAUAWTuyWfPAO1weSeONl7KRun8zzzBggpLWDt+yJvWshLP4Qt3LLMnVoxqXMk0pt5iCJKklAICEJbe9IdJMQJhFHC9MwYjUaTJElwrrj2a3DdBsvzz9Jw/hrfd4gTOHSqwfxyhSiWRSBTopthaZKB25R6J0s1JCW9rUZkSbElRunfktn21CMMLkoMrvQFwD1cRKVk2kRcSfjS4z5/+PEGrb5rMziiqDkp2tGKrGWRjBopsMorIMtDJcv6tfxa5MHb6EpoLvBemcUZYu8C2KYkTUxJj2stbNJHGHskls210bZeJdY0K5rvfXePp17wufsxBbVsqSh0RIxKrUmR+uGpPEiBbaR1cawnbvIRE1pgi7BSNteicFmyZggjsn8n/Vdl4bYUgYrJq7REOntnyKJOz2oWxBsMqwsxh84aO9YtivnRt97A7a+6hpXVDk4/VhjlstjVvHhmhVpF0E8EX9jj4CWK6TGF7ytbF15enkXhAOTMXUrUZAVRQ0FkSWvb3bqKwPOC7C11uhqMgv0lwF06ZCpNpBNz4ITDb3+0yZElN933Ptu4Vr0Ee18ouDRrvn/5hI8WXL1UvJnL25HETuF/Z2n67O+UKvxMNg+SErMzJFWM0QWLZ5Il21w10uyeTPjBb+hwYtbh8FmBcUZElrTTtAKGQW7ZWeRJnlyipK+zBFC25bqUBnTp3snrUoriLLLt7NNbO5MyeVIxrZOROmX69Eazk8wEVQ+2bzRcuqMDT/XpJy5xrJmchkbDRRsHp91x8FzJM4d9fvQ3JxhEHpN1n92Tgos2JISR3VfSOCIPIsq9kWW2Hs42XiArmbP5MJjFGrlS8sClTlP6umBuMaq/h/V2Xkjlx8y2BL/wwSafvLeGcR3bhiaKXkshREl7l+adDAWXa49suVxTNVg2U0qysYz2Next1r5XTvSU28SGmNwIhMlGIcu0AMnudKZF9jpt50oMMQZXau66o08rkPzU+xVzqwJ8UQhkBEiHWMv8CxVeeAFsJ3NRpB2dnOnvTIsrRF6Xkr23JrWfSZvsnIwMJcrKa60cz7Z5sUSjJHgeVHy4aLPPG2/qMDW+yNyiIWnGuNJhsi5xLt5scBrO7M71+ovXXbL+TYeODdg5KVjftLshlDNz5YByeGxDqUa7VOFXzkQOg3pUe+uSf3sh/T28R3oZ7JatU1ZPU/KZ7g7RfPqROl96omZ1t1K5Y5I7J5k0kUVwmbH3kFsypP9KfzYC7DWEXZbfo49yLUpZg5Mx97AOL7rvi7S9zJoghEAImRYj2fY2KSXaKJsMkhJpbA+ncgxvfOWAt7+6x599zg6Sz7NaOdosyE0qM0CkmjuzB20rnGVvkYLaDIFZ5lZh6X1RfF+dEWG2uZksuofKq2WSfbTMGi2tfmEkWFitIuQUcaxYHdRpR+4Xvbgxa+I+6v953/+gV79l9cyiWu12km8JV2fZPKkYqwvqVUXVV/iexHNEvp9kMbW1NCptJCFT1GhbkOcJmlISZ7gjp6gMHEr8XMDzlmokoJRFnbdNxUckUvOpB6v8P783xvFZv2hiyA8HIQW+hIo0+cyToQlZpYRUlrjKt08ZutGzZVlS7CdUmmUus0Gicjhxk2n80WOUUEazp6XanWzTqbJDtbbobXhkmtGGyWbM5RfFnJ5THD5pG3aH++0sxAzW6isngzJHw5b4itK9WpRJ5UVSpvg3hyQZhWlh0r9zYUk3MsCznExLzyukJQw6ZvOWnezaWv2/pivPPn7pFW+we/RIHWISQc2JWT8O02OSakVSrVhwu0PgTie5KjOUUcwGzo+WtK5l5IKphTRrZIvItXeJ1TNg53o8yT1vmdV3Z5pbxjhewukFxR9+os7Boz7UM71dPtayd7lD/oIFVWVGz6XJcFtf2V0py26RBVBlAKxRKgI7jL7E7iX2LurxS00RWuR1HvmoYzNckCW0IhHGBtRG21R+oLlsd8R3vavDE897nJgvfemUsS3gHavJM2mhrbNi5UURdMrU+7aSpCigkqk5kQ1OzYLK7M8y+zBbuoYyofltk6bzE3sjx1ITxgIZpqsEyu7bE9eYmFH4dU0c2//XAXjba6+gUq3y/JRhD2ep+BJH2eZjzxX4nt3u2kl3KXMck49BKzf8yhLAVQngYuT1BYGegXdIl+uSlNEloFuQZxo8A72VJjHLbcmv/1mT+5+ppFWCWTKnXDFoV+VsDPIwU5ohQOegL4F9bTVhoVcuyEQvrVCGUt5DwWfZQkwli06THxqRvk4txOy1FmhR6HCt0629hUIKY4NO7PlNeoY7rg340W9r8/N/MMZKL/3kmZjOt9l00EgCnW1MZfW1SbOSWqRzUzJgp4mcNauPyZ5F6ryYfMZKBnSZ18GTW6XFWU1XqXTPT4Et6Y4iQacnWWrV2bjzCjY3riIZ9AuAX7xzI5u3bLq7O3ffL3F15afOzSfEWuJIm+xzXYPvZFvwlQbJjwzZWVvWWgA2twIvBOwUxOWf14K+YG77XgbugrmVShgIw+9+osEHP96gk7i2ZSsHduae2DHD5YrBXHvLUfY2axm7ZDqUX4NBpHtS/l2RPtpdX3ZRhjT5kHWY6XFB2ULUWYCZAz97D4Q2KfDtoY0iiQ0NN+K97+4wtyz5jT8bo69LkXHqhFiQKwyKKPW5tUyTgcLgpBlLLYzV46aUzHsJoGuTave0GyjrFCoGfxY3NaVBREApJwBJIgmkIIoSuqFD9PjiL9162+V3Ly3OYT818Ku/+it44zI6vdi7uNeLv1YZjetIPBd8z+CnAPfc4Y2bim1B9Jqprrl8kSn4y+xe0txFdrIsb3QpaM009zB75+AWGZPHCFfz3BGP//JHY5ya94tUfDmpI63l6QvyTaScrPakpMHzowT68q4ShSbOfh6ZYS6yyaup9s51eGlqbl4fX962heHXsjwdqlT2MHrzMazPh0uYL7DrcHZzGkPF06yb0Dz8nMvcgsTIEsjzmzR7nW49WJZZohATQ3Kr5F9nJmt5dSpubDHkJA2taDnIh1c1TLqVpU47fLRh03rB+qnun+15/EuP3H7H1xUMDnDnbXfheRX2Pf0oJ488y3hT4nvZ3pIpcOVaWaJKzJ112agSc2eMvdbv1ukuXMN/R4ywthAW2PlzWXsLK0ukjFGuZt8xjx/6pQmeO+xjXFmk4oe0t0ilSQHgtVsAloOaYcdkTVH+0PVfC4y/k1wZTfRkFzQb6ZYzeLHltizZhhnDWY88sxBt3bjd0k9aeaINQiiEMchUlws0IjRcc1HEb/3UKu/9L4LnjghwKe/+XdCuMBihiNM+3UTaxnRXGBIBTuqD5zFNGhtImdp9JUbPEkDK2GGdKmVmO54i62RKpZCCJGtX03bfTlcbEiXSrdk1V13xCm6/7WYGgwE/yC8MA3zL+gmq1SpHXvRJtMH3oOprPOfCTLzGAckTMCUmHgK1XlPSmQN6BNgi/7u6ALvQJZmSIFLmljLGcRM6RvI7n6jx7As+iXOBoFJacKv02hUZy1Km9QLuxRpAj5JaiUEp3QB/F5liRoBdRnhefFX2xIfswvL+8iL1iUVaf12k8mVmHep0304tkUKihYa0IEtojYo1110R8APv7PLT/92hE2NZIAv6sjR6fgvacRShtjZenOYTkrxYLXWWKICeDGWJ0z83KfDTpg5l0n1Yc7lCHmDbGMOusHFiDzcd/ey7hkqlildZR2L6+XnNAS6Eg5DekXq9dnTT+tru8VqPql8kZ4pZgWXGLlf3lbONZVAXejp/pggkywAXpZtACl2k69NMnMqCyxFw97TgDz9Z56NfzIxFDwAAOZhJREFUqhGoDMz/b3tvHm7HUZ8Jv1XVy9nP3a+WK8lXkrVblrVYi2XJGzaLDQbbIQyQIZCQAJ+HMBmYEMKEyZNJgPkSYhIyM5kQCOSDEDvGwcZgGxtb3vd9kazdvpKu7tXd7z3ndHdVzR9V1V3d50iWjW0Z5qvn6Xu2Puee0/3Wr996f1vGcuvoOYcoOZC2st5WyC853mYDO4Pi1lk8J7bhTcFWNu/MXJZNHFI6ACvJwiexggKQlBVX3JwaCyiVskIAcMJgWol4UYQrL5jBCwcdfOuGIqZDbQ3MENDHU7tTwQCpUuAEASJtwV3oNjIEcS0Wpo+XOd5MSq1va4qngS604iI00LlFF5NgviRJglGJesBRLJTg+4W9hby/R4qoGeAL5s/F/p033bZ6mf+9eVX3j2YmxhHynEpZ0+p8OuvGBruwrLaletiKiA1cCgVey4qTlEUXGZCLxILb4HY4pgKCb91cxJ/9fRlDY14qOyelnFiyIIutjExRE5O1SMytLf3ZFhqt6EoCZ6OqEHJicBtU24vI1HPxfWItMg34jQufpCiLkCp0VhJuyYiKthgvpxQUAopuKCuu+ACHRG9HhC98bAKQwLd/XMKUrjoBmvnemq4Y4yGh25BroKsOE1ZFghjsGqSSJGDXrQiZBj4jqhkcI4lF5/aaRcePCwFEgmBiWoCVqjg8kf/ed/713ts+9u/e0QxwAGircHhe7ifDgxOXwZk4s70YYqaeQxAxlU8HWPHaIpVCRlqBPGOVmyy2/RwUqNFk0TXILYpCiVJMiA/86I48/vzvyxgcc5Vp1hp36hbKwZLU9068lsliLENHaFoqTEmCZpGWsdO2VHjSWqFlxu3FVExV4mDrtNIiTG3AlAs/Abmx5jJjxYWgeqEpdSCTcukDFAQUUUAxqyrwhY9NYmSS4ns3l4Ccsd7GcmvrHU9DnetJqJpIhIATvbsOqTVW3AFJHf94k9rgCKokZ6EX/Lr5LJWqRaI5BxJAIwQmAqBYjkBzjScbKP5khs+kDm0a4LPfg/d/4vP3SZl7dNlc/8xf21aH73lxwH1zjHZ2USlaAjwFan1wkXkO1msJfbHArekJoVxRFQ/YM+Dgn24u4MiwC+RorHE3g5xY1jttsZkF4hQ1sQANJEpH4ugjzVTlVYBbnuj5jGQYB1jp1wRkKuBKxaxozh0DnupJIFNW3MSvECl1/qMEkUo2NM9FATCrK8IH3zmDB57ysPeQC3jmn1vRXoRCVbRnesYz7SqlMEkRnBBwJGsXc5wdkPgq6lACx1hsIsGlKmkRK1kiUbbiCE4JBBFBJENcdk6ASzZMPsrFv9y37cqvHR/gANA/53Q1m4XA4LFhlApEcx2R4ttGvsvGjBAd0koMzaAGuCIlWSnRXrNOghTAE3BLUMKTxzG4JfYedvBf/raCOx/LqQRKaoOapcBtrLeToSaxyzsD7ObFZfMiMk1FjFm3n29+PyGtogeT2RErJpa1Th7rRSWMUpIswGwOrm5tNUU/r9UUQrQKIwiEplHKESQTkEtA1CXOX9vAn3xyAl/82wr2HUbCx+MoQN2vRIfB6lw0DXYtP+nWDhIkzvABCEJ93BghYEI53cz6yBXqXFFBkjxYoUtkW0D3HInZBYKO/Gz0dC8FT2XoHAfgV//mBaDUCZ54eByN2hgYI0nj1LjOiK1fG3qSVjxsLm0D1risE9e1seKIgU9S1l7EciEhHNQFDgw5+OP/WcF1PysgIDp2IAVu+36aC8ahsMaaUKW0xlVDKJrB3cqyZ6x1lqs3DfvFjPk2gCdIKyswj+0ALMvDl3LbAymVRQjEgKZ6wUniGGsrElEojycRJlBAvQecIedyXHVRDVwAX/xGBQeHbMRoahJzKX1QTBkraR8gYyFoPAEkUbxdUIIIBA1jiHQDLVOPPU74JgCngMcUdhyqfDSeIzHZmIViz8VBFEXIjiaAz5ndBdDi516enLt8/PDL25fMqaG9KkGZgOdwuE6Uqv9HTTRfTFE0GGF0bA3uDIDt05tei6WpjKEohAhQBzg47OAPvl7B9bdrcJuCNim1xIBcnQKXIJ1nCcuzhiw9kWkr3MoqW6qJUVVSO7yGkQ1CSgHXWPcmyTBDU+xbZDm5oSoUkkgL8OpWSKkfM6WXUwkeqaZdv35xDQ4DPv/1Cg4OI9HvNNWMY2wkkstUK77W5AKmuqSc4u+cKEWmQSiYCWMW2qoTlaciNY5yjkTRlzh7tY8r3tF9V64y53NBbfqVAU5YCbfedvvkgt72XXtGS1sj3mCMSvhuBN8PFMApt7h2sgA0i0JDKyhVnRUoSU6fybo2vSCbjVyGl5sJwggOjzn4wt9UcP3PCghMb5OU1bY2qJoujrbexnKnZUF7kYl0vMkryYRN31t/dyv46tWgO7HACcizyDdRd+kuDIn1zjqATIc21TDKoixaE5cZZ5DUQEcMfgbOJRxIXHlhDZEA/vM1VRwZdSxVxQiY+gcbyx0fBP3jOInngRramhtXsTFMlClHEqGICEWdqHBalygmGkr1mXlPgDEg4lU+OTN71+TTd05u3Hz+KwMcUKtWyac+uWCOv8EnYk21VEN7ZRqeE8A4aVPOGL0AdBxT4FKAMIEwkDg8ThFwpaMDiqb5rkRPVYnzsHqz60pd+gBZFf8ZQeRQ/P2PCrjulhwCZlmAGNQsc5/Ex48Rq/0IrEQGnEDzTgE9XWvwePw69mQS8mrxnfZmWpJgNqOnZWx4io/b3k6iLTOJN5XDSeN9iF6Qph4LGtMWSimk4HCJxFWX1LFrn4uv/ENJFeykxnLbnM3CvFDn1/Mketo4fAd6naEmWMgJDo9ThA1TRMfEJCdGKwE7QR0EU5JgkgFcEuRdYLrhPz04PP3Jro5yy2PbEuAXXngB7rr9X7hTnS9R240GH8eDLwRYt7SGnjahWkvrMlyMcHg+ByhHoyExOErw7F4XoXRweJjh5rt9TEypWAxAgnOgo03g4i0NzOmMsHBOhHmzOMp5CQYJEaXNI6EKnbfd5+MHt+bRoBmFBNS6NTRFAdJBs3JCUrfZxaTMADZjqTPP2YCOrVYG2ScCuk1LDLCzhjsF7Ji22IFWsgn4ApqSaIePSUyWUi8sbcBL29NJY3oihdQJBkyrNBw+F3j/xTU88oKDW+/LQUL36U6CUYBIqW2lPMe82RwLZ0eY0xXhbVsa6KwKcK5+GGUEE1MEN9/t49AxB6GgeG6Ph6FxB0HNgSBM585qZUYAkBydbRxnLJHYd6gAznI4c9UiOT5Z5+++7LKTBzgAnLH2IgRhgG9/71k8ubOGu55ycMFZE3j/BSO4aG0NPtPlcZnEc/sYDo24uPMhH7sOeLjjiRxmGgxcUkR1momiUdTjpgc4IAU2LQ+wemGIc9c1sOnMAPNncSDSC3KqrPdN9/j43DUVPL/fVYiNs38TnTsFdm1xjdWOs+ORgDoGOTLOHeCEFCUjoWQfpmj4K1rx42iFCT0hiQae4uF2w6o0VVEURMaAbpXqlqUuqdQ30JiPS3sTal21alGAv/zMBD5LgZvvyanvp2PICQfm9XJsXNPAtvUBzjwtwMblISABz1cHxo73lgK4ZF0IKVV12Due8LDzgIO7Hsrh8DEPz+33ICgFKOAxgQvXTeOq8wNsO5Ph9sdCULc8fdH5a3/g+4XjHuLjAjyXL0tJGn9Tqa79y/GRiWoOFP90cwGT0xHWL6+hu8Kx+5CDm+7L49/uLGDwmI+dAx4kd/TM01vqf+trlxAIBQdEhLufYLjnYR833JXDuesa+PxvTWHF/AiOp97xox05/OFflxJwk1i9RszjUvxbIY7BWlgivZiMJUILzK3KQ8QyIJpBbCaDGa96aWn4qMzgXCJuC5JYcRvoiT6ecG/lpknRFANyJH3vCYzVbp3XKQQFYWlnkdlfgIJKDgTAitMifOU/TIIS4KYdPiBUKPXy0yL84W9NY+vaOub2cpBAQoQMQjLUp5lKik6KqgAAKFNruXJO4IptEaQI8L7z6hg8RvFvd+Zx43157D/koqMS4uOXTeKyLUXsOtiDdr+I5Wecdawx8dTX56+68nhuheMDvJBzMT26+/vvu/C0P54aZNVGPcLS+RzvOaeBjnaBOx718VffruCuZwqYrnsAcVSVVubAjv1IVtVmBcXVVKcRIBjAIkgvwsAxgut/RrH/ZYYrL6njE++r4Y5HXPzhX5fw7F5XabDE+kxzP2W9FfxoxnrbLvkUgE9kqWFJuqT1/eZ4cCuesCnq6vg4jw8NmsEO2B5MeyGZ8G9IaEA3B2NJqZITSBOoSezdNNGHcYkGooRTCZFQGs3biRSQocSqhSH+7OopCAn8/BEPn7iihisvqWHd0hAeEeBTBEI44MIB544qXSFZ7IQylpxERmEToA0lRZ8+J8Tyvggblk/gwnNruObbVex41Mf197QBsoIcK+O5gRK6T1+NklM94fF1TvRioa2ncWR4/Hcj1n/tmsX7i+eeFWLLGgoPDC/sc3D/MwVMBzkg7wNMtd0jlOqQSBJbuWTNISGkC0k4IEP1qokg8oCACzzwlIeXj1LsPMDw1PMunt3tKC9aU4heBmExyBPr3ZyCZqWloQXI9aeb9yAL+NTRSQXHwvD+rMLS4o3NQI6fJDGabQ4eW3qtICQqitWRWBLtYLQWmpqLx9WhLC6erbUSl6HQoI/jXaQCeiKA6OdD4IzFIb748Wm8e1sD79zWwLweDtmQ4BF07yDVjZkLFxFn4FxbcUERF+O0JGFGBULKEUYuHBbCzwXYsirELf0BfvZIBdff24Xh4RzOWc5w9pq+6WpJ/m6h2t14zQB/eWBKlNoWP3zFZe7Ezse+WVzUN4ViTuLgIQe33FvAaOgDuTzAcqCMwaVEt/3Q8SrWuRUAIgk0hGprx7n1I4UAwAEAzJVYvTTCR95Vxw+LEk/tcVCLYnacAXeadxv1wnbDpyhJy/tpupL2amZrwTTXAo/7PB7vIJ4suGGB2toptdCM72edO4i7DZvWTdKUWSAWeGNJMLH+BtAEGuiwga8Dsw13No4cKLGjViPY8YiLH97po6+HY04HB9VTQUimgC1chJELHql+nlxQpZjZsZgk7Q2PGIfL1GQo5yUuPqeOG+7leHmU4bkBpYtffuX2iaWnL3h4fGJC4ATjhADvm9sNwBk+fLh25b7JxXfeefOL7n/5yCR+8qCHe58tAk4exMnBZQwFRpBjMi6gY+c2qgwQAi6BkEvUOMEUoQgiFxBRjAImgfPODvAXn5nEsiURBAXuvN/HIy+ypOq67Tps5gg6zqG5tkkqOtDi2K0Wli2lwIx1JvZXyHy1V3ZrZoCdctmngQ2pk3uhrHvKISRg0ZK06745pLaV5bb2FQSSWRYdZoMOtEueJ0QCFHjmgIMf3Z7DA495+P1xCs+RuGB9A4BJoVNlKsLQQxg6iDhDZKy4/r+JsTGtaJS3XDhKqXOYwNbldbx90yS+dwfDR94xiQs2XRAC01c6XmXYLxROeGzpiV4kxMXTz+9He/uigf4F6/ZSsggHB10cHmEYq+VB3BzyjoM2F2hzBSquQNmTKLkSJVeg6EoUPbWVPIGyK1H2JKqeRIVJuKZuglQBNRdurONv/tM4lswPIKcltq4K8B9/cxp93ZGKnzSnNgXqNMdINO+MUhLfJhr48fi4mgxW5zT7v9lzKoNjU4nJuN3Vc8fXxE8q4MoGPDTgU7KhDe4EvHEdQ4E0sIEMgC1Ay/TnmUIm2dre1AFeGmb4i28Xce+zHlAEdh3wcPV/r+JnD/mQTOrYFiDkDoLQRT3wUGv4qDU81OouanUPtYarHse3ap+63hqBj1ojh3KeYXaHwNwOgd62BTh94dl7VyxZOjAzcQDloosTjRMCHAAYZRgffOTAgh762x+7chVc5mHvoQLgFlDwHLR7Em2eRMlPwFzwVY3xggcUXHVb9ICir/YreRJlV8KjULppFOH89dO45jNjOL0vBBqA5BIQAm/fXMeG1aGyJSkzR9JmVP9lFoizZY9bFvGxte/0x1mdwRDTn5iWIG3Vk2/QmrMfF+SGihDLkmvwJiGzaAlim7qoSUDS+wAZAKd5tzAAtjY9TTWwkYBb839T1/vhpzz89P5c7KCRLsOul3P49NfaccejOTCHw3EAzh3UAwXgmXqyKVC7GuwG8B5q5vW6h1ojh3ojj0YjhwWzJMZnfBwY3YBd+/Hb3//h/QcoZa8E3xNTFABYuWw+pJgCSPHw8OGxu6/55qxzr9tBkfN9dPgSFVci50q4LIn2Stzg6RMrpTLEfqRm1rEaMK+zhk3LxvFfPzqBxXMB3nA1kASk5GivcHzkshk8/qyH/cMsmZI2L7DUk9hyIy0PZr2OKbAfZ5/URIDMgNyeEMch4aTpznEHsdzY6Uid9J0mRxBsC51UfiKWOz+OHSc2LQESRSVt5WOrrRNdzGRRk15i/5CLb92Ux/g4A3La4UYpJCPYddDDp//KwZc+Nor1SwTyDsVMPYfpGQ9BSMEN/5bWcYxTG6G7cjCEjqIzUhIwxvHuzeOYqHH0LVp49/bzth4eHa8jX87/4gBXP6qEBx+9d3d7pefr8LedG/GH0F0EOnISBVeqbHtm0opsakASBmGdGCFUAOCqSgMfuXQE71hfR2fFR22GxFGIlKpm5KQRYfuaBk5fFOLAsGed/Bia8ZFKOW0y9IMSQyFscLcOi7X3Sf5dWjVpGSJLTgbKGfRaoJbm02QL1zyx+bR5gwVgHC8Ay4A+IxUKCqKzfpqsfHwLpBeD6vGu3S52POYnnsY4sduBdCh2Hirg6q8X8c710/j3F3uAyGNi2gFPSmTpXyotmmiV4WYSLuMIXAVyQiQK/gwu3bYWdaf89WefvXv3qlXbTuoQnxTAAWD5wmUot7U/vOGs+g3venH48v17DqK9yOA6Ep6T9KdpaQm1ApGULSPoaqNYtURg+8oifOZgfFLGrbYdFoFpbYxwgUpRIO8LEAhI276lSDFSmSIm2dW25CfUv1MfR5q+vx2ElV3npq2Bev+rxXkqyIo0v25PAhu8MY0RSY2RREGxgrIEyXgupZYAs/skIIfMrpbV4qIWEExMO4BvGgi4AFU9jghh8DxgplbA3Y+XUHEZVi3MgxASF2VNymlnjYyx4hIOo3AdB/XAQSOQ6Jm1HuX2s25wyVkPU3nspI/tSQO80t6Jh589cGDDhg2ffurxp5nbGLqsUavD95iuP6jSk1JOkhhUulYII3AYhe9RVIoMXWWGw0MdqDdqKOQa8L1AVbI1TgBICMLBuMQV2xvY8UgeY434Ypn6filvJSyaYtcJAVrTj5RS0iKwKp5M6o7ajaQVlBbjRK9lwRs/IAng7RJtKX5OZAuKkg6tla2uAoKkIgsTdQXxgtMoIFmLbs7l+AzFv96Z0zEoFCr/1QOoB8YcFBhQdiUqnkRX0cGxUQf7DxFUiroMiZNUH6YWwM3nxz4LamrwUEzXi6DFhTcuWnv2pxHtOUjcxa8/wAFgw8oFuOWOBw5u3bL+maPD45cdenkfqmUa1w5XRjd9Rs2XZlSB23VV3cNyUZ3amboL31Xhten3mGQHB1JyrF8WIu8BYw3bfCZKu53IkFVHbNUk2yGuqd5J5r6xyLaFz+reyaSxPZnZaZg+Lka7Jllg249TFMamLoZyJPQlDqySSfXXOC9YGvcQSQO6pcPHcO/mcGZAWe9HXvA0704qhlHGkGcSFUcJCBVfopRTnuuJ6QiAgzw3dS5NsSSZutrZ/85Y8oIXYdGibsxfuPaZgf3PHuzr3/RqIPvqAA4A3T2zMHvOnK+ctWfvwo7CzPvrtanUil5krIe55DuUwHEoPI+g4AM5T3F2LoAgYvBCBpcxMMp0IU2qXboUpuBNSjiLT75eYMLWvLW1jpMX0mB+JRrVZN2RvG5bdNuSZ+SUJkCfaKSALeO1XTIRLGeOqZfSFHRFrPiTrCYOxLTEdE2IUytbxItTmNIV6ge1msyIHW0qgtMhBHkqkXMA35GquAHR5zcUqDU4JADfpeBcJ2ER43QyfYfSt5xLdHV0wi8t/MHsecu+Es4cebVwffUAX7vqNNz041vGe3oXfrSnuHPurj3O1pm6LkAjgEgAnAsIYRoDIS4lnBTyTC5V0AeVC4qIM7hCdwiTBuAaNVlrYqEvvqwhAXDrbB2k6EorV33zYjPdvjzr1m8F5de00Mxyb9m8XypOnNjeTctypyy8bcVls/XWqxpi3PzxZyGRCWNlpcWxt7zILgU8XQLPRG8CSlAII4kgFIhLHUNVwzIV4uJqVVyCc1O9SiAIgdE6u+cD/Qs/+tAD981s3Py2Nx7gAHDpuy7Bvt1PzEj5zuDo8E3I++MIIgcRJwgjIAwpgkjVizPRlI5D4OjOfabGuGlOBesyqYrVmGwTW5+14ZPeCLJu+dYLyuNlzlNNL5p0cmTu29bZ5u0Z4Es9uWC91hLUmVmR4tUGXCRNO1LeR2N5YVOXDJhl82txRo9OCM5q4U0OIKTVlOQ8ACBUl4ZId6Yzk1ZIBdookgiZAI3UxHAcU/ZZ4SSMJMKQI4okIi5Ra0SYPasT733vu4L9h+lrAvdrBjgAdPWeDinFQ9vOXbL58Uceyo9NqhkacYLJGQJR0zNf815VVB5xgc64h4/FvRP3tLW1sod2gJVRZ4gGOZKsnVh+soANK+7kFVUV21S3svD2gtMCbvIW67tbd1vp3HZQlc3BU9Za6iR1i5oIXbWhdeNYva9WVNK0Jh0SS2Nwa9pCTRxA1qBYP4ik10Ct/B6qHaVUG1e1vQklIFy9SWoqUq9zTNc4Ii4AAjQiB3P6V9VWLOl/iNJX9Eced7zmd5bLRZTL4RfmLtz2V9RfWC/mApw2ZxKl4rR1oBUfJ7BAninFRWiShJw9hAYCtsIR72XpdSo8Nsm7PFFmfEu5MHOCWr+XNNMT6wuT9J/XNLKKSmrCmx2s582VLeHZBtjNMd/2rdR0Mr0PbVpsCpCm52J50nwZ0vwbzPcT2rGn6IeuOShVtpB5K9WXOkIEphoN7D/KMT4ZYe0Z/fXL3nHeX02F7AvFUhmvdbz2qQGAkA7xyINPfqm3t+ers2a1BS8eGsXTe2s4Ni7RCAQaoYhpCixgpYp2xmAzBYEs0Fg1VOIpYCUVK0mP6OCqdCpa2lWfCZc9EXgt693Kq9mKniB5OiUxpm5bAVqmbxPwkoyVTztepLmyNbntDYib3ftCmE5sSAFeZN6vgI0WwFabirPKfDh0RplMTzYhofNtpW6QBd3vR58TBvgukPMpOqsUZyxu4LR5k+ia1Rt0dHZ/9clH7vvS7M7SCaMF31CAA0D/7JHgnM3FL0/zrj+558kewcMCJAlw8GiAWi1CGKlFA5C48JP+8y0qz1pl2xLQS1x/Vw4TM3aSg5oJdrY8M94wm2+j2TrHfT+zNMWAmWYdPa3A3pzp04pzn3T6sczcGsDL9ETIUpCm2BOJFHBbWe9W3dpMy5O4wZWw96F6YlFUChLv3V6H5WFCXOXWArYRHbh+jccKmz4uVLVNKuaBBbMCgHJIUcClmyti3Rk9f7J/ZPaXnz8YBr8oPn9hgPct/SBuut2pwTvzhl9/19ly5aIp7B6cxsAwRz0QSlHRvypxyUrlcaRIqmNRq0pWqqybAJjEwzs91AIrcx5JUZ90Ec1MUgPNPE+zoCZNdCRLX2DAa0UYJs+TGN0JlEnq5mSA3eytzEqFNh1JlA4bTFIk1lgIi7Lo14QwlhyxNY87DguaTIx4kWk9p+/nPIkNS0PzoQAUwLkEolgRUyqJMN9DW3DVFFYra4TAYUDel+jraeC0vhE8vrcB7m2RF21eecN7zwlqn7/6il8Unq99kWmPM1fOx6yeuS/uPeB+8uBw7X8cHXqcVnMy/oGGb5kOBaoDhAmsydYY19VjdbEfxxEYHKYYn2RxgRizJXVPEtd8IhXKDG2J16TpLB+avU+a6EtWG0/RFLS23q3XE8fFdwzeWFUyt/ozs5Y87hMlbdDLlDUXArE/jMDEolhue93Ph0orS8i0BicUgorYFyGkaixLBEW1xDGrO8KRMQEwlTweCtXeJBKac+vKr5zL+LEQycRNrqQSUzMO+rp8XP3h9cIrL/ykV1r1oitefj2g+YtbcACYf9py3Pf0oWDpsk3fnJrK//4Zi3pRyQt9smUMBuWuN21MhOrzQ9UWtzPJVM1iOY7bH/Owa7en9BFTLkLHvRh5imWoiQG0Xci+uXQESevhaEFrbJ5usJ0y6xaS09zkVQHbfsE4WZplQ4Is/bVDZFPWPEVjEtqhLLvuhCwTq26svzBglkRbdapeExRSqqL3S08PccFZNaAhAKkAzqVEIIBQKpBHQhepF0AUg1zq75aID1ICQ6MEM8ECzOoo/f45Gzd+c073/uDM1cveOgAHgPM2LsNLA0f5b3zg3Xt+89+dO7lqaQGCR5CGJ9Okr6YK0FJlwUzNQ9fhce1Dput/u06EqCHw/D4Pk4FjFYRhsfW2+8uzWEmRTWBPbdSyzDQD4haLzxi7htLYj1tY7Neko2SoSup+CtAZYGvAGm+lAbTNqxNebLf9Jk2LzXh/DXi7RbjQYOecoewCyxcGoH4IRBEgQkgpVDoiJwi4KuoTcsS3EZca6Jqu6B8nZISRWg6F7q2TS8+4bM/k2FHuFVe9XrB8/QAOAKViHr3d+25cv2HZp7aeu22kt6cCKTgIUeA2Hdo8R6hGVi5X9Q5dFUHoOJFuxa3Kw7lehKf3O/jxnQVMNxzEnVMJBQHJ1Bw8vvWOF7cpRSW7kdQ+NjenhKSsetYrn2oh2IKbtAwubBHnYQUHJlk9TeC2LbZ1P+bSFqC1FChEi81WVixQ2842ISwrrq0+5wwFj+DS7TWc2d8AAg5IBfJQqHTEFNAj6E0qi64dOVICEeegTgmbNm8fmTV/1adueXjwRtd75RjvVzNeFw5uRkd7BQAwOTH53Q3rL3YEL3zl5lt3dEtZh+cBvivgewK+y+F7EXyXw3VDuLqop2NCZZnqVhxwge/eUsKzA55uB2j6XdK4YmyT9TbtoSmSduKW5bY7ocWWmpLMItNWTUiKeyf4tf6+VulbHue9xpoTlUIc+4AyC08Auo+7ynnVBVK0TkdAqF7UaYcPMc4fkfwuLlT5ZK4DnwhVtQsFpbr/pqqXIuK24AxR5GDF3AAfevs0nt7rI+IOQEJIwlCDm67eS0yohumtKuGHqt14Z0cZy8/YMrR+/db/HIbhd1cuOv11BTfwOgPcjHKljMOD499avmojPXRk+M+HBx7trhY58r5EzuPI+Rw5L4LvhRrogQZ6CMeJ4LIAfiHEA8872PFIHlGkY491SxJKdOVRkk6yyLb9S4M6Aa/9XCtLHgOdNissaHpMTrigJCcAv43vVqEoxAa0uSVAEnymrDB0BQOh3Z8KoHqlanTnOBhWl8rUv5NC1ewmgkJQBWaq25xIKmKawgUFFRSCqvIPeZdi29oG1i5u4KHnHKCo5FsBghnOYBsAFbmpan1TJhRFAbB1y5Khc7Zu/DxE41u5fPWNgOLrS1HsMbu3ihefu/eb82dXPnf6ovYRIQI4TKCQi1DMByjkAxRyDeT9BnyvAd8N4DkBXKcBzwtxaIjgH28s4bn9vg490313qLLepn50uh2GbKYmFsiTpqT281YihjnpLcGdtuQGvDYo7ddOesjM3QyoTQxISjJEWgM3lMOmKEYW5BYF4UL30bGfs/RvIaiW+MzzNLOZfRiC0MGK/gj//t1TmN3TAMIAEHVA1BFFIaYiiZGQYjSgmGwQTDUIZgIJVcKbo9TWM1ILCp+74d92fJOwNwbcwBsIcADYuv3tyLlHv1Ou9l7t5BdMlvJ1zOqYQaU0g2J+BoX8DPL+DHJ+DTm/hmK5hnypAVqIcMejPv6/nxRRj5oXly4B3Ey1/zinzwCeImOpE8ud9L4kKdpiU5a0xzPj1LGVlFacG2lefqKRuN0tkCMdk5OKIrQdOy1Abrg1N88JtFxEiizwRRroac5uZEKmX2PgEYPPgA+/fQbnr58BahEwHQDTNSCchohqqIUBRhsSR+sMQzWKgXGGkSmBNasWTJ6+aO7VQ2NT33nv5e96IyH4xlAUewwMV0QjLP2gt9ePqJz8zlMHnvS3rQ5RKTbAnAYIU313wgbw0wdcRMLDsUmKv/9hGZMzhpqwlPV2ian6nziMUtTEUBabolDbkiPpOEzSlpvQEysp6ZgU+zJMjkupT2akqIwJtkpejfMu7SHiNYGmKCoSS/WK1/cRR20dh+zr32PUEi4UFxdC83IqQYVQi01qWXNKwUMH5XyAT7xvCi4FRiYYIkFx+2M5hNOqszQnDqZYDlHRwdlLJ7Gqf0m9p3fOb63ob/vXobHaL+SGP5nxhgP8Pe95H46ODPNiPn/fvpcOTx68X2LfoQf8Gx90cOCoD49FAJGoNSjue8RHFEoEnGC0rsv6EwIVJ8hACIVHdNyxLjCUstgks7CMX7da1mXBbeWRpqy4DWYDQAvssbMng5dfINYq/timkQV8VoGRuv6gtSaI++ZAIolLTT6cEMRVrlSfeQIOgBBVG1wQovvRU3DCQIXqgMYJBY21cgoeUmxaEWDpwjElCQbAvY96qDWUy81hFPsGffzzXZ14x8aF9ZWLOj70k6f7bpjkh/jvfeyDbzT83niAA0Cx3ImCg8PVjkVnLFnYfe7PHlj77W/ccKzABYUbTKDGBSLiI5IAeAM+AnhMomZiSLUFZxrcrolKtK03STt7EoqS0BDGECdG2zy7iaKQjNaNFpY8RsoJfrjltTveyETatv4MvbA0yJZIxBKDY6PPS0gQDtX+mipvZfLPkv/CLSmUW5NbaO8mJxKUJ2A3i0xKGITkOtNKfVpDElTyAq5kCH0PV2wnELSBWkTBp9vQCAlOXzR7ZnCy7yOXXrro+tPn7JHL1v3WmwG9NwngLgEAfudd3zhy3vaF1/7ZNRXnnRsP/Q/R2FfdtnYC1/yoDfuPVuBJiXY3xEcvm0AhL/CX32vDaA2Ao9zynllcUtt7KS1KkkiEtrJimgewzILSXmS28lYaYBsgxq+1st4nGsdBb8sJ0+qtFsjVR0m7aUga6GYiCu16p2oP1eXM+n8E4KAw3e+4Abi23FRa/JuYaEDVBpxpLyhlwFiN4C++X0E+J/HRd4VwSQWQFAPHZvDXPyxj+6pOnLFk/viq/rmf+ODZo9f+3T/vx+984M0BN/AmAdyM87Z/Cn/6te9iLMh/f+5p/e7G0+f+5dzKXZ3tt3N4HRTlgsQFGwQ++0GOWhRi3/4Z/MNtRaV7UwKfqlw/ZcGl7rFoad4ZUKtSFuZ1EgOb2fSEtqAisBWTTKxJBtnNwomM8yYNR2+Fb/IKs8MoKoSkQU6kpaxIHQYhrQlp3mOArpMbmEmtiqeI+R56shLVmYETAsJNy0GACKkca1yCEAZGBTh3ACcEGHD9vXn83Q1dGA/yqIV1XLy6iHJR4ujYCA6PzEe1+6xjK5aH/9F1+feffqgLv/OBj7yZkHtzAQ4Af/SZD6uTE41+B8xxfnRr25d7y/d0Fyo1LD/Nw/lrqxgbk+hsG8VF54S49UmJl8cZ8hTIM6WeOBawU5KfRVOYBWQDdNMumjJtwQlJKSrqhCN92yIrpwmbhkkl+HnVI1ZozGe1+BcJKo3qYtESK+be3iRR9cSNds4M1SGm8GViuTkxziFtvQkB1/XrVGtBCUoc/T6Gw4MMt95bxHC9gs5yHrffXwFmHCyex9E/r4w//b1zh3rnvv0PhqLgO/N62t9sqAE4BQA3gzjteHmw9g/r17yNICz8+Uu77+peOOsIpusODg9XUSzWIEgdknrwGEXJkcg7UgGcto79blJIdC2WmHvblpzqGuaxw8ZY45NvIGVbYWnIckKVNf8+MeJj1352M58rs/8HqUVmnPwAWBQKMDUXhT4eUuruf9Yn2XE1cU9NoWmK3ojeIsmQFOOEyp/kAYhkKDoOFrRLVLwI9zxVh6Q9WL/p/KEzztr4eUD+AyGnBtzAKQQ4APT15lGr1b550Xkbo7195Gt33fej9omRCGuXeDg8xPDTe8sYniigswCUXQGPZTl3EnJpx6DYtCS23DHIiUVXEJ9A4JVpA2AAJtOPkVbkYqask4Kzlj3LvZsSoc1nItHJM//2hMOmWZTomG+qCuKzeNVq/U+eeBuFkBA0CcIiggBISktwQXVve6C9HOLizSEe2xeiLe9izRKGzh4XZ64+d3T+og2fnZ6h/1gqvr6xJa92nFKAA0A+n0e9Uf9u99w1IwfH9ixa3Z//quf+3H1iL7Dj6Q505xk68gIeUyC2xIQmx0vWecPialraktNkixWUhHinhsyaShjwNseDpKwiIS1Bfzwjno1GtIHeMgZF/2nCeua72ItlSgBq83CW8CA1wVSXNanjT5oKdAodBsDVlYBQB43QAQHFOSsmsPK0CRwacLB105bw7DNHP9ezYM0eQtmPKT214AbeAgAHgJyfE7t27r7xQ5f/hteZf2xmenL8b2/8lydJkfq0o0PAcxS4uQBCrgKEhE0DkFjClPVmyX2HEk1XbICTZmzLZPGWlA5GnBWqHiaxIDbgzPKNGmZMlIOGxRp2RofWD7OlLmyun8rXlMe36PEkkGmQm89lFMoys0RsjP+nUFnunCqOLmXaaWXCajknCCMGLlSHvakZH6V8DuevgRhduVb6bUv/n1kLV3774P7DwYL+nlMNq8wRfwsMyR8AaD5/6PC+eT+9beCqgZeO/unjzxwB4MJzKaZqAlM1iYADkbYmlAIuk/BdlePnuwSuA3gOgeMQuIzAYaqqlnMCgKdriEgLLNJ6PdlHWPvaenccxESIJUem/y/TsmXcCcMsdOOS03qqWK543uSq1987/p7ZJIfkBNu0TYUtJ3H5LpNwXdXz3XUFfI+rqE9XxehTqqhJxCmCkGJyxsPUjAPXEQiiACGdg1Kl449Cf/61leqSl3g0U3vPhatPNZTi8Zaw4GYQtgkAanf//Ae7PvqhlV/+52vLniTVLwwfPcI6qw3sPcQxPs1AiUQjIogE4DnK2QMkEqCx1g5NgzsGuQaaqVMIJNWVVHhoTKYTqY9AlUYDAdfZKMK+lMNIdLreHtUpYkjHc9v82qZWzKwlYn980vLcXK1MzLewrDqsuyJOF5Nx9jr0VUEwAk5tq58QfsK1CqVjwgGVdaXi9YUCd8TAmMTRsQi7DlCcNtvHwv5+Dq/7vz1xYMWX+7sP8Eu3n3xRzDdrvKUAbsa5578f1/7rtfwDv/4bfzw4eMx99KHbrgimH5y360gj77sFFPMUU1JgbIIgz4mqgweZ8lg6caGhBOSuo4o/queT9DQDbhIRRBKqSE6GTgBKchNCqGB9DTbOk+wUm/MSE4ZKrBezUh4ScNO4EJLlwNGzQxACwe0khvT3MvuqGiQSUZQu10EJiY9DuiSF1bSLSDBK4gL1jAoUcgEcp4bhMR/Do0XkfA4vN45jtT5sPm1zY+uFW/+iXO744x133oBt511+qmHTcrwlAQ4AV11xFcbHJ0EZ+yM/53+xrfvyb0yHd63atDra2Nt2zOnuGcE/3SFx35PdqOaUk0JdfhNawhiNebfrUHgOgeuq3AnHMVZTgSaINEgy4T+2I0hJdhRCCkDX0Yt4tu6Lst7mseLh8VOJ1SQJLaF2ZKQpZwe11gDsyaS+n5EODb2Jh55wQSgRRirumhg/gKO8kmqFoB1ZFKCcINRXHRqp4yc1x24r1XD3s3V896cldOYFNq3ujs5dW7x/w6bLRWf3svsHj4kvzMxMoVAonWq4HHe8ZQEOANVqGdAh+w/ff+PvfvF3NpYFn/i7qLbn1/IkoOetPoTHdlYQ8Rxch8B3CXzXWGm90eS+6wI5Vxf/dAVcpgAlJEG9ocrO8YYE5wIwjiBt/cxCUFEGiUag6+1xlUhrUw3VOYboLBnjREquCsZy22EFqqSd0fIVPRJCIiAUYaTAHYQqp5FASZ9gKkuH6VIC5opSa3A0GlxNLAr12zmBcM1Sl4JSRVkiAACFadlGKeC7HA6TmGmEuO0xF4Mj7ehbMUc41f7rdo+WP147cnTyAys3nmp4nNR4SwPcHhs2X4bp8Z2TrudffWx4wW457a9aJ/KX9946DFF3UcxRlAsUnkstCdAs8Chcx1RRkvA9iZwn4LlKoXEcgbEpiiPHGCanhQYFVc0LKIkXZiy2lhTjkwTTDYEoSlvTRKUQytpTw9UtygM74ULVajQJ2aaMhqn25UUSnDOMjEtM11QNDqZLURNC9Pt0TgiVEEJgYCjCxJT+TL3w9lx15SFQx8ThBFzTNCGBiFOdHEzAqIsoAg4cCZAvrMaZKxfdcNW71z0zp2/2NbVafXLtioWnGg4nPX5pAA4AxepSABiW4rkvgly1QJQfx8euOnj5HT8/gGqhhs6qA8aYukRzQIqkQ6/DAN+VyPsS+RxH3ldbwY/Q1VbD0y9xPP1SBZ5gaCtR5HMAYwyUKHDnPCCn+xHN7gwwOhXg8EsUviM1LVL/w9jIRF/WkX2wJE3L+5qoGzJOynaZScoW8ByOI2MMuw8x1YdUX6UAZZkJUVV7C75AR4Vjbs8EHt0vsGuwgN6KRN6TyHtAnovY6eQ4iZgJKNrT4EAQApAcMzWBzvYO+G2rcdG2ZTf0zV/3e436+IHl/XNONQRe9filArgZhK6AlAcPzJ2z7rNb1nd/d/nCNZ+eHNm7bfzYTjy3dwqMeSgXOUbGQ9QaDnyPKXriSxRyHMV8pFPnQrSV66gWR/HgTg/P7C9jcadAzlOg9T1lwT0G5D2JcpGjWoqwYNYonj/SwJ7hLswuE5RyEjlXV5uyuyYLpUzEJcusmBVFUVTBI2O5XSbhOkqiy/schXyArrYp3PEs8OS+TizsBioFApnX8qir+LTDJAo5iWopxPzZ0zh7sIZ7nnfBpYeuotDFdxQVo5TAd1XtqkIOCCKB0Qkg71FE4RTGZspYvGQ1+pcv3lEX7jVFsvgpKcIDW9b88lhte/xSAhwACJkPALullLsBPPPCM3J2Id//v0bFi4vrQ8+xlYuGsOMJiSPHutBWVjp5Mc9RLihgq62BruokntrXwM8erSIIHHAhEEaK/xIo6+q6EjlfoJSP0Fauo6M6A0IaGKtJFFwaS3zpqESt6ggBR7DYMaS+u6YmVq0YR2ece46qPJDzI5QKDbSVJ0EpxdGpTnQUTOFSAddVHkaY7+io532X4OK1Ndzy8Die2N0NRhU1UaqKqh6W89Qbu6oC+4fG8OguYP2Sdlxy/pm8TlfsJjL6ncXLNh8GsOvVNtR6q41fWoCboU/ALhEO7QpDfskZK/Nzl/Stue7RJ26sPLDnWLHDieBQB+WCQGclQLkUIOdFyPsBivk6ysUpPP8yxZ4jBcwuKMeOSRIgRMmJrqM4e97nKOQC5LwAFBEEj1DnPoJIhfFGVPFjlf1CEHHTpkUXu9EBTkkYgS5bxwDHkarSF1NrAtfh8NwIrhOCEoZGRDDVUFQk56mC8aYbgvquqpZjEDL09xKsnDeF+56p4pjvQ0J9l0YERFzAcTg6qgKuE+AdmzloefH0BVsunZjfU78yYgsGAHbglx3YZvzSA9wM6nZDSnngwq29LwFjK/cNvWPTZz5O/vfQwN7ICfZ3zO4YKLeVx0BZiLzPUMw3UMzX4DgRQPNg1IFjOX5MjDTTVVCNVc17ITwvAGUAJEFklSXmUiISOnhJ10qMNJDtOt+UpKt8uY6Iwc10AVKm490JAMEFeBRhKnRRCZSaEkUytspJbAxBJCgi7ipVhIeYaDiApEo+JBz1GuC4DpYVOyf7l/aPLF/R5/ScTn47IAsfmD23OB5yCM/51QA38CsEcCC25uLxnYdGOzrn30LoxJKPfuq6xgt3feU/ecGtH/7Bbc+EO/dh2QfO47mx6QGMTjJsWZkDJRQFB/C1emGDWykRSnHJeRz5XIipWog9A3kIvQhN0t8VtYlg8XGigCw0GInRvU0JO1d9tqPLSUuSxLgISRAJhkV9AbxCHRMNDx15gkBXh+JcgAtmlUEjiCJV0iHiEp7PsHHJJIYnHPQUO/Gbl07UBye9F45ObnB/7de2fHf/o5/9f501f+L3zanUIYYEIW9dPfu1jl8pgJtx1tI5gNLPZ0aGDgLE/Srl9Kvlyja29ez2vy33TCx58oVntt75QIN1VQ5hcGQKecZRcJP6fpQoL6irJULP5fC9ENVSDbsGOO54qARBmcoRZcp5xLSKEkYSEVEWVSk42iEElUvpMBVioORKFftBiK4gxal6f0TBOUUYOXjbhiksnDWFF/aXMVNUAA9jkEPH5CjLPzXjgBAXvZ0C6/p9XH1pFQdnOnlbefk9m1bnd01MjX7yursEz+Vy6N/wNekV58+c6vP1Ro5fSYDbo6N7PpBEbUT1+tDHfd9r75q97s+K/g7vyHjEj4zOXXv+2uK69twg7npyCoww9LazWJ92mVr8VYp1CEzjtsd9TIkCXEbgMQHflSj4BJ4LTNaAoxMEHpMo59S/dRjgeUoypDHlkcj7HKW8WvS6jsTwmGp57XMClwlEXJVJ8z0Xl6yZwL6XyhidKaGzoDh1GAkEIUcYUTi0DkIm8OSeXmw4Yx4uPXfs0akZ97E6XcXe/+5tQbHc/odRGIwu6+wAAHz186f6zLw541ce4NmRy3UDwCiATwDAtTf8HBdtwTbf4RfP6x25smNebSkJQkTTB1EpSDisBh4FYKQOKafwv3+Sx9eu7cZUPadlRCDvAdUSRbnAMLeXozI1jSde9MElBaFqEem6SslgVPF5o8FXSg3kc5N4fLeDoeE8XOaiWqLwXAEu1G3Od/AfrhSo8RH84GcUEzMM1RwQ5FxI5CGQw7z+pahUQwwE3TuLne3XdbWRWz//u9gxd9H5p/qQn9Lxfx3As+Oqy88HgB0z08M7CHB355xo0eT4uNhxx42ib25bf0932x8MHR1AW1cD193P8J0fh+guu3BYA22lGQRBETkX6Gpj6Otx0NsF9PdN4Ws3NPDMC+0o+hKDY0DIJaolAdeV6G4L0VFtgAuCQq6BR3Y38I3rS1jYQdHdxtHXS1DMUZCuCPsHQ+RdYHyiiis2c7SXCV4eWo45bRwLFszD5PjIl8P6xL6+hVtpZ0eJdvb5ewDc0tPVdaoP7Vti/F8PcDMKxS4AuMU8DuuDcHyv7eiRI/cHkYtyexBWZ634zOd+m71tTleE8WmBgZfvxj/+mKOzzcHcWQ5CGeDAEYJV/T76eybw1LN5dFcdzOltYPeAxPBYCasXR6iFY9jxJEFfVxGVQojnDkocG83h4jM5fD/CVK2MULggdAq3P74UF27eBFHJY2438NHljduuvZ19bW473CVLV6Cnp3dHEARjc+e9NRIM3mrj/wf4cYab6wWAMQA/AoDn9w5i+ya8UPKi3u4KF2HIcf8DTyHnTyCX81DIM7x4aCy8cMt5X/Krw5d++NJDYS7fhb7OPBbNb+C+ZwMgKmHZUgFJx7D3WAm5Sh51NoEZEeLyt3W5684o3HRk4LYvDQy1uYQ4AHFxbLIH+baNKDsOKlVCK0UMfupD2Jcr/vK5zU/F+NURPN8C47mnHwBAej1yoDqra0D+4LZOtBUKmD87xIPP1wFewNbVApJM4MFnypjX46O9Oo1/up1jydwqWbt89riUcnD7ti2n+qf8yoz/A/ROZ6wmOA7pAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE5OjEwOjQ2KzAwOjAwf24qBwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxOToxMDo0NiswMDowMA4zkrsAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 110090000
{'hecke_orbit_code': 9007199321850327, 'n': 1, 'trace_an': 22}
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id: 110090001
{'hecke_orbit_code': 9007199321850327, 'n': 2, 'trace_an': 4}
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id: 110090002
{'hecke_orbit_code': 9007199321850327, 'n': 3, 'trace_an': -66}
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id: 110090003
{'hecke_orbit_code': 9007199321850327, 'n': 4, 'trace_an': 90}
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id: 110090004
{'hecke_orbit_code': 9007199321850327, 'n': 5, 'trace_an': 32}
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id: 110090005
{'hecke_orbit_code': 9007199321850327, 'n': 6, 'trace_an': -12}
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id: 110090006
{'hecke_orbit_code': 9007199321850327, 'n': 7, 'trace_an': -4}
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id: 110090007
{'hecke_orbit_code': 9007199321850327, 'n': 8, 'trace_an': 27}
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id: 110090008
{'hecke_orbit_code': 9007199321850327, 'n': 9, 'trace_an': 198}
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id: 110090009
{'hecke_orbit_code': 9007199321850327, 'n': 10, 'trace_an': 13}
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id: 110090010
{'hecke_orbit_code': 9007199321850327, 'n': 11, 'trace_an': 61}
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id: 110090011
{'hecke_orbit_code': 9007199321850327, 'n': 12, 'trace_an': -270}
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id: 110090012
{'hecke_orbit_code': 9007199321850327, 'n': 13, 'trace_an': 4}
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id: 110090013
{'hecke_orbit_code': 9007199321850327, 'n': 14, 'trace_an': 133}
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id: 110090014
{'hecke_orbit_code': 9007199321850327, 'n': 15, 'trace_an': -96}
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id: 110090015
{'hecke_orbit_code': 9007199321850327, 'n': 16, 'trace_an': 342}
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id: 110090016
{'hecke_orbit_code': 9007199321850327, 'n': 17, 'trace_an': 308}
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id: 110090017
{'hecke_orbit_code': 9007199321850327, 'n': 18, 'trace_an': 36}
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id: 110090018
{'hecke_orbit_code': 9007199321850327, 'n': 19, 'trace_an': 32}
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id: 110090019
{'hecke_orbit_code': 9007199321850327, 'n': 20, 'trace_an': 407}
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id: 110090020
{'hecke_orbit_code': 9007199321850327, 'n': 21, 'trace_an': 12}
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id: 110090021
{'hecke_orbit_code': 9007199321850327, 'n': 22, 'trace_an': -166}
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id: 110090022
{'hecke_orbit_code': 9007199321850327, 'n': 23, 'trace_an': 53}
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id: 110090023
{'hecke_orbit_code': 9007199321850327, 'n': 24, 'trace_an': -81}
-
id: 110090024
{'hecke_orbit_code': 9007199321850327, 'n': 25, 'trace_an': 746}
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id: 110090025
{'hecke_orbit_code': 9007199321850327, 'n': 26, 'trace_an': 467}
-
id: 110090026
{'hecke_orbit_code': 9007199321850327, 'n': 27, 'trace_an': -594}
-
id: 110090027
{'hecke_orbit_code': 9007199321850327, 'n': 28, 'trace_an': 85}
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id: 110090028
{'hecke_orbit_code': 9007199321850327, 'n': 29, 'trace_an': 634}
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id: 110090029
{'hecke_orbit_code': 9007199321850327, 'n': 30, 'trace_an': -39}
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id: 110090030
{'hecke_orbit_code': 9007199321850327, 'n': 31, 'trace_an': -163}
-
id: 110090031
{'hecke_orbit_code': 9007199321850327, 'n': 32, 'trace_an': 150}
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id: 110090032
{'hecke_orbit_code': 9007199321850327, 'n': 33, 'trace_an': -183}
-
id: 110090033
{'hecke_orbit_code': 9007199321850327, 'n': 34, 'trace_an': 37}
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id: 110090034
{'hecke_orbit_code': 9007199321850327, 'n': 35, 'trace_an': 782}
-
id: 110090035
{'hecke_orbit_code': 9007199321850327, 'n': 36, 'trace_an': 810}
-
id: 110090036
{'hecke_orbit_code': 9007199321850327, 'n': 37, 'trace_an': -2}
-
id: 110090037
{'hecke_orbit_code': 9007199321850327, 'n': 38, 'trace_an': 584}
-
id: 110090038
{'hecke_orbit_code': 9007199321850327, 'n': 39, 'trace_an': -12}
-
id: 110090039
{'hecke_orbit_code': 9007199321850327, 'n': 40, 'trace_an': 864}
-
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