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{'Nk2': 20216, 'analytic_conductor': 40.356393181555106, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [19, -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': [5054, 1, [1445, 1807], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, -3, 1]], [5, [-1, 4, 1]], [13, [-11, 1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052523454, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5054.2.a.i', 'level': 5054, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'minimal_twist': '5054.2.a.i', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+(1+\\beta )q^{3}+q^{4}+(-3+2\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5054.2.a', 'trace_display': [-2, 3, -4, -2], 'trace_hash': 1212761100978555831, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.954', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.759', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '68.685', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [2, -2, 3, 2, -4, -3, -2, -2, 1, 4, 6, 3, -1, 2, -1, 2, -3, -1, 0, -4, -3, -6, 0, -3, 8, 1, 0, -2, -12, 1, 10, -2, 9, 3, 4, 1, -10, 0, 6, 4, 3, 3, -3, 6, 13, 0, -8, 3, 2, -8, -12, -1, -12, 0, -12, 2, 0, 12, 16, -1, 0, -10, -1, 2, 17, -9, 11, -3, 15, -4, 16, -1, -7, 10, -8, 0, -6, -6, 27, -4, 2, -3, -4, -3, -9, 3, -13, -6, -5, -13, 1, 0, 15, 8, 0, -3, -24, -2, 3, 8, -5, 12, 7, 1, 1, 12, -18, 0, 3, 12, -15, -2, -1, 0, 30, -12, 22, -16, 3, 1, -4, 0, 17, 10, -36, 1, 11, -2, 18, -17, -9, 9, 0, -11, 10, 3, 14, -15, 38, 4, -7, -16, -3, 1, 34, 7, 3, -10, -15, 8, -4, 0, -24, 6, -20, 6, -23, -27, -3, 4, 0, -2, -16, 3, -3, 4, 30, 3, -3, 9, 0, -3, 18, 13, -8, 6, 19, 5, 23, 13, 14, -1, 15, 0, 20, -15, -9, -8, 0, 0, -20, 3, 14, 24, 8, 2, 9, -3, 7, -8, 39, 5, 12, -12, 19, -7, 45, -1, 0, -1, 42, -12, 34, 18, 51, 0, 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{'AL_dims': [[[[2, -1], [7, 1], [19, 1]], 22, 4], [[[2, -1], [7, -1], [19, -1]], 29, 6], [[[2, 1], [7, -1], [19, -1]], 16, 5], [[[2, 1], [7, -1], [19, 1]], 26, 4], [[[2, 1], [7, 1], [19, -1]], 25, 6], [[[2, -1], [7, -1], [19, 1]], 14, 4], [[[2, -1], [7, 1], [19, -1]], 20, 6], [[[2, 1], [7, 1], [19, 1]], 18, 4]], 'ALdims': [18, 25, 26, 16, 22, 20, 14, 29], 'Nk2': 20216, 'analytic_conductor': 40.356393181555106, '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': [5054, 1, [1445, 1807], [1, 1]], 'conrey_index': 1, 'cusp_dim': 721, 'dim': 170, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33559486, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 12, 12], 'label': '5054.2.a', 'level': 5054, 'level_is_prime': False, 'level_is_prime_power': False, 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1}
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mf_twists_cc • Show schema
Hide schema
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id: 46489477
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052523454, 'source_is_minimal': True, 'source_label': '5054.2.a.i.1.1', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052523454, 'target_is_minimal': True, 'target_label': '5054.2.a.i.1.1', 'target_level': 5054, 'twist_class_label': '5054.2.a.i.1.1', 'twist_class_level': 5054, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46489478
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052523454, 'source_is_minimal': True, 'source_label': '5054.2.a.i.1.1', 'source_level': 5054, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679893950, 'target_is_minimal': True, 'target_label': '5054.2.a.j.1.2', 'target_level': 5054, 'twist_class_label': '5054.2.a.i.1.1', 'twist_class_level': 5054, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3784600
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36028797052523454, 'p': 2}
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id: 3784601
{'charpoly_factorization': [[[1, -3, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 3}
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id: 3784602
{'charpoly_factorization': [[[-1, 4, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 5}
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id: 3784603
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36028797052523454, 'p': 7}
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id: 3784604
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 36028797052523454, 'p': 11}
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id: 3784605
{'charpoly_factorization': [[[-11, 1, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 13}
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id: 3784606
{'charpoly_factorization': [[[-9, 3, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 17}
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id: 3784607
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028797052523454, 'p': 19}
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id: 3784608
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 23}
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id: 3784609
{'charpoly_factorization': [[[31, 12, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 29}
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id: 3784610
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 36028797052523454, 'p': 31}
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id: 3784611
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 36028797052523454, 'p': 37}
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id: 3784612
{'charpoly_factorization': [[[-29, -3, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 41}
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id: 3784613
{'charpoly_factorization': [[[-99, 3, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 43}
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id: 3784614
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 47}
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id: 3784615
{'charpoly_factorization': [[[-9, 12, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 53}
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id: 3784616
{'charpoly_factorization': [[[59, -16, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 59}
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id: 3784617
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 61}
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id: 3784618
{'charpoly_factorization': [[[-71, -11, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 67}
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id: 3784619
{'charpoly_factorization': [[[44, -16, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 71}
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id: 3784620
{'charpoly_factorization': [[[-19, 7, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 73}
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id: 3784621
{'charpoly_factorization': [[[171, -27, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 79}
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id: 3784622
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 83}
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id: 3784623
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 89}
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id: 3784624
{'charpoly_factorization': [[[99, 24, 1], 1]], 'hecke_orbit_code': 36028797052523454, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '5054.2.a.i', 'level': 5054, 'portrait': 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XpDS7suaPgCSUIQpLQbKd2Bz/HzEBofYy1XbYvoDVLOLGtmWh6XbkvYtblPsxEipCWKBJ1BnaWOz0xD4EmPM+d9Dp0WHFtMOLGSENQHvP7WPt99GwRymgPH25w4pzibM/eS5dCy5ZZrl/hXP7jGtulpjp2d5exyg6U1zfK6ZK2TsN5L6A5SeoMEK+uo6e3mkku2fXyqXf/JKE66v/a/f/+LDYm/0OOvNcB7vS79YYyn5S899OSRl//Mf/q0fNtLD738p996Ti+ubGat22S9F7De06z1NKtdWO2kGZOnnF2Hw8uChYV1/s8fXuGllzc4eW6WM+ebnFnWnFuxLC4nnFpKOd9LmJ4dcef1fV52FfiyTqACzq3WOLusWVwVDEJIEkPNNzRrKTNTCQY4vpjQ7cPuzR7Neoi1AoRPf2jYtSVkZV2DdVJkvQ9hAhbLaidi+yaP3lAhlEWYkHbNY9fWEesDwfEzmtRo5tqSVk0QeJAkgkEoWVyVnF2xnFtLCIIReAm3X9Pn5dcKFtp1VtbanDwXcGYZzi0nnFtNOL0Kh1cst1yzzC/88BpbptucWJxlcbnO0prPckey2klZ78V0eimdgWV9YDnbE5xeGvJ//eMoefdrWvf78z9mau0r79fS/Nwo9mi3Wy82VC76+GurwR/91se4ZO8t/Mv/45//4ue/9I3/z0f/+CuX7T+6fslzp0fyzuvWuWx7SmoV7h51h0UC0r0XFi0sgYQzqzUePKi4fu8qV+0c0aiBpyW+p/B9TbMuaXiSQd/jwLEaX3nM5/j5kG4Sc+BkyOa5Vd565xrXX9bjlqs6HFtOWB4IGsGII2csnW6T6y6VrI9S9h1TtBqaZ4/D5dssoyhllPpoHTPTgv0nA5RO8WSC9mAYSl561YDhQHL9ZSndYcrxMy32bFE0GxHroWXT9IC1fpePfx2eOJry1NERu7et8JIru8zMRrzl9h7f9yrL3i0t0niao6enOHzK4+Si4dT5mFPnUw6fF5xYj7nhiiX+zx/usXl6mpOLsyyuNFhe91npCta6hk4/ptN34F7tWxb7irPrhpuuWOYnv3tFSqsuOXxkcc/yanpbY2pXfXZ2+qsf/sNP8Kd/8vEXGzIbPv5aMvgHfv9PePjAXvXWO57814tnV/+PBx89oQ6dGnJ2XXKsI9i7Y4n/8N5z3HBpg3MrM6x0Gqx2A9a7HqtdzVoX1ropa92E1V7CcgdOrgl0fcQd167y/a+K2LOpyXq/zfnVOkurPssdwWrHsNIxrPUM3aGhG1oGo4S5dsyuzQYQBJ7l1HkPIQN2b1Ls2WbZtmnAubWQJw+2uPlyS6O+xjOHZmk1I6LIY27GMBzB1btGfPTr01y5MyEMLfNTkjgd0qoFPHtsRN1rcuMVCU8diTi34rN9LmDPVti1JUKpmFPL4HsWISy7NyfMtCS9YUB/4NEdeKx2FavrsNIxrHZSljspix1YGaXs2t7n+1+9zB1XaWpem7PLbZbXaiyva1a6gvWOYb0Xs95PWe9b1vpwric52zHccsUiv/QTq+zZMsXZ5RlOn29wZrkN/vZ0dn7mF9/9zht/4bEHD6e33P6OFxs6Fzz+WgH8+QPPU6vV6ouLp3d965Gn3/3c86f/3enTZ6j5iu7AstKDs13JsY7hxj3n+LX3LvOSSxucX51mpdNgrVdjreuxloG80zOs9xLWegmrXcu5juBM34Lo845XdHjLSw2Xbq0RRQ3WOjXW+z6dnmKtL+gNBKPQEiWWNAUlLYEH9cAy3bZsmo3R3ojDZyOePhRgkiZvui1Ce+s8um+KS7bCFx5KeMV1Aec7Q2pakaQxszOQxB7aS1hZaXDnTV2+8ECLPVvhkYMhHg3e+FJDIoY8fTjl6KkaWvpsntHMNAX1QOD7AiUgMRDFllEEvYFlvW/oDQzrA8NK3zJMU3bvGPCWl3V4x8sjMC1W1qc4v1pnpZORQQfWeymdfsJ6LwP3AM71FOe6KTdffo5f/sklrt7VZHF5huX1JsvrNda7GiUj5jdtxart/3Ju0zV/vHv39hOj0Wh42eVXvNhQKh5/bQB+5PAhFhYW/EOHDv3ooUMHf+uxx58U51d6MootUWwZhobOwLI2ECz2Fae6Cbdedo5f+bEVbrq8xvLaNMudJmvdgE7PZ62nWe8JOj1Lp5+y3kvo9A1rfcv5nuBsxzAzPeC7bulx+1UJuzcr2nWPbq9G4ElAESUSYwTGwmAECMNMa8TB0xZjI+56pEk4qHPZdp87rh8Qm3XueWyaGy/3OLjYp7PW5mXXD/jqowGbZy37jlv+4du77DsWsHlW8pXHFHdcrVgddDlycpYbr4i45+khSdjg9mt89u4cMUz6fPlRBang8ClNu6HRAgZDibGC1FjiBJAG7Rs6fUuzFbNza8jLrx7wXTcnzDVrnFudYmW9zlrXnZu1rqDTh04vodtPWO8bOgPD6kCy2BMs91Juu/I8/+4nlrj+kjrn12ZYXW+w3qux3vcYjBRhJBiOYJTUzOVXXm/3XnrZP7h0794PLi8vR5dffvmLDSngrwnArR1Km/bfevrgJy975lD7V+974FEvTiCMHLBHUcpwZOiNLN2hpTMQnBsoTnVSbr/qHL/0E8vcfKnPeq/N0lqLTr/Ges9nva/p9BSdAfT6lu4godtP6Q/dzbLUFyz1IU5DXnL5kC2zKf2B5c0vC7lkiyFJJVpaohjufrLGifM1ts4kPHO4BqbBVTsUN11pCGoDHj04YGm5ybWXNGlPr/HAUx63Xl5jZbDO2lqbLVssD+1T/J3X9nl4n2bHJo/lfoe11VluunrAA8+kzNanufayPuc7HR56bpq6bnLLlZYrdo1A9nnyqGDTbMy5pZh7nvQYxQopITWWS7ZGfNfLInp9xbYZw02XQxQ1WO00WO0ErPc9ugNFpy/p9qE7SOn2U3qDlO7AsD6wrA4lp7uCzjDijiuW+Lc/vsrNl9dYXJlmrdug0w/o9j16Q01/KBmGksEI+sOUUZhy3fU3xweW5D//J3/vrYdmphqfbQS+ebGx9aJnMtc7fVbWoh9+5qlHf6OZ7J9dPCmYaSv6I4EQtvh71oKxxqXmrQWRIoXi4YOb+bn3ebz9jlXe89pV9myPWFxpE/h16oFPI/Bo1jW9uqQ19JhqagajlP4wZXNoGIaW3ihgdanGqZOWKDGcXkwIAgsIfGXRUjAYKgQeyUBzwyWCvdssu7YPCNMeX3xYsf/QDG+4OeCmq9f48BctvmhwyfYBTz2g2D6tmG8PqKk6UexxvgfNmmbHZsET+yNuuqLOq25c5kOfG+J7LV5/m8ULBnztoYgvPNjkuaN1Lt3W4JKtKQszEXvmY667JEUpg1YWsDSCgIXpgCj26A18njno0R9pBkNFfyTpD6E/svQH7rv3hin9YUYYQ1gaKBbXLI2pDj/95iX+l9sjrt/T5Mxym06vTrcf0Bt69IeKwciBezjCybgYhpHhrm886HXF3G8cO7x9df7Gl/5vSTT8kPbrLyq+XlSAD4dDEOLHn3jwwV/6+tfvmd29aYQQdQIfjAGsIDd6BCXYBRYpLEqk+EryzKF5Hn++wcEz53n7y/u8/JoR0602q50GzW6N9tCnP9D0sos9HGkGoWYUWkaRIYotcWxJUndEiY81IJXA04KaL5huCWZasGXesGPzgPmZDl96FO593EOaKd5ws8cNV/W477mYaNTmjhsEneGQ8ytNbr/CMD89oK4DRoliqRujjOCGKzSNVshjB2q88qYpXvaSHo8dUGCnuPkanx/77lW++kTEVx5usu9EjV0Lii2zdWZaDaZaUA/A0xYlwVjYd1SQpoI4EUQJhLED4ChM3UoYGgYjwyA09IfQDWGpL1nqw8iMeN2Nq7z15R1+4PWWOG6xuNyiO6jRG/h0B5r+UNMfSQYjx9z5+RtFKXHsiMdPznPv1782G4/4v2677Q49GAze12g0/ucD+HC4hlLpjx3a98AvHd1/76bZ5pA4beJpi68t1ndQRgiEUAghQCRIAUq6LKJSFk+l1LRkeVDnY1/fwdce7/KK69b5wdetc92ePnPTDVbWG/SGAYOhlwFbuSMShLEkTgRJ4pZ6m91HSlq0hpoPjbphthWzfdOAhD4HT8d8/J4aR042mQ7q3HqN5vbruzz0fIe7vtXmtstr7No64KNfFygR0G7FrPdDjAUlYKE9oNvzMUmdt77iPB/7QoO952q85bYBUbzCPU/PEac1XnrNJt5ya5fLd3b42mMDnjrZ4MmjPjtmJbNtQSMQ+J67CaUAISzGgjGWOMlu1tgSxjkQYRhBbyRYCwWrPRB6xA1XrPOD37XOndekzLfqrHWarPfq9Ic+/aGXAVsVsmQYwiC0hJl8DCNDHIMUgqma5rmDaxw/e9em86vxL33X6+6055fW3r9pYeZ/DoDblV/k3PrlxCuf/JGVfvyrK6cOz0/X+zQCD5MajBUkUiCEQEiJEAIpBEJIhNQomaKkQEqDVgZPWXxtqGnB2kix2pnhE3c3efCZPne8ZJ0ffP06N+7tMJfWSZKAwahGf+gxDDVRrIgTSZJKUiMwVhSrQ+AbGrWEwI/wvZDTKyGfe0Ry6JTP0VMzKBOwd6vP1XsUN1/VRQVLPH24xfbpBtdeClsW1ljttrluuyQxli89HBAOJNPNhDe+dMRn74k5sdjiyss8zq6PePaIx87NM7xkzxL3PdXjgWcFYeRz1Z5ZrtoZcNWOHofPrnLoNDy8v8HBI00aWhBoSTOw1DyQ0gVV1rqbNUkhSiBKBf1Q0B0JujFEJsHYEbdc3uUHv6vLK65L2TobMBxNsdKp0RsE9Ec+gwzYg5FiGIpMmuTM7YAdRilhZQUcRpbUwMnzKxw/9/VN9z97/ldFrZn829/5woef3H+CP/719/7NBfg/+/f/BWY/je7wA0TH/3OyvjzdChqI2XomFRRxKoljiVYSrUBJgVICJQVaKbQSKGVQKsXTAt8z+J4l8CwNP2W6JuiFHmvdGT55b5uvPzli88yAd7+6w1U7R4yGfa7dY9m5RRHGHmmqSI3E5uCWBk+nHD9nObooWB8aPnNfg9PLM9jIY6am2Dan2b1Fc+l2uHZvFyOX+d3PNlldneK2qzTX7u3wtScFIvHYNCNpNhIGsY+0EqxEaZ/OSHBuVXCNbfDqm3vc/1idbfM+t107y9/77mU++IUeDx9o0h95rKy32LOtzpVbB7z0ih7f+8oeZ1ZX+cx9ASuDgONnPU6f9vGUQEqJQGCsA1psLGlimJmLuf6aAWEYc9XOkHe+OmTTlGK2FRDHNc4u1egPfYahx2CkGYY5sCXDUDAMBaMQRhmoR6Ehig1hbAljx+BxYomNu6lGkeLYcof7DnxrfteuTf/59hvn4z/+9Sv/cO3Ev2dm17/4mwfw9/7bjxHc9v3ih/6ZeteOqWd+7/tf+Uzjyl1NwJWbBqFPGGnCWBFphVYKpSxKyQzgEq1EBny3LHuewdepY3DPUo8tjcgyVUuZqQsGkaQXNTl6qsmv/OEsmASRJNx8/YA9WyKSJA9cXRJHCoFUAu35HDjhs+9QjWZN0/Il8w3Bwpxk06xm24Ji99aUK3evk4oV/sun2hw/Mc1tV3hcdUnKMOnxracDpusec1OW6VZEo+6kkDGSzkix2resdFI6/Tp3XrvOI/sG7D+hmG7XeOk10/zEW1f4zU/DY4ea9IeW9Z7m3GqbLfMNNs2M2D034p+9a0C70eGpo3DgpMTzLEpZhDCAdf+zkCRwyZaUO65LSGOPOAmwtsEo8lhcdqAehppRpAr5NowEowzco8g5WjlrR5EpYpcwO6IEohjCRBAm0IslyyPBWjdia++x6be/dO73fnN5KbH6n36id3rKtrb/9N8cgP/cr36Ma3ZOqW/c/fvveP5E58MfeXi99sT+aX7lp3pctt2idcpAJww9Hy/yiGKFpzVeJPG0ykBt8bV0wNbCpdk9SehJgmyZrMeGMDZEkaWdQBgbwgSiRDCKJWEaEKc19h9q8uR+SK3FQdtpY0+Cr1zNRyuAa7dCuw5TTclMSzE3rdk0C7u2hGxdWCe2q/yXT01x+MgUN12quHSHZO+ONb7xbMK5lSlu3iOZaRtq/pBABlglSFKJsJYkjVjr1zi34nHTVXVuuKLHfY/V2DwjaNRa3HSF4affscJ//rTh2dMt1vuG9Z5iaU0zP91kpl1npj1FuxGz0IzZfVNE4CV4OkGpFJk5UBZ3U8Wx4vySJk4UcaKIYuXIJFaEkSSMJWEkGUWSMBIuQI0EYWSdFIkdsPPzGxbgdrU1YeyAPYgFvViyFsJgGPGSXcv80k+t8LprzjY6a/UPJ+IDZmiu+tTiofenWy77se98gP/H//pHzLR9dfT0uXcunT77oWefP1nzp2b54sM+nhb8wk90uGJbiqcb6GENX/uMIg9PGTyt8CKLVgpPW0JtsxoSwSgSBJ4g9BVRLLNAxxIlqXNFksqRQpJa0tSQGpzeNhTgFgKUBC3B8yDQglogaASSZkMx1ZDMTAk2zSbs3jKg1VznU/dH3PP0LOvLba7fpdi91ePynSNSsc6XHm7Q9DQLM4pWY8TTh3Ed9zstg1Dxkstjrt9rWTybsrTmMxw1eNOtPb751JCDpxXNuiTw21x3qeEXfmSFu58d8tm751npWnZvSlnraKbbiqmmR6vh0axbaoEh8A2BTtHKSS0p3TWwFpewMoLESJJUkCSCOJFEiSCOJWEsMhYWRLEliiCMU6I4lyKOsaPYEkYuwxvGMIoFYSIYxoJBIujEgm5oSKMRN+5c4d/8xDLfdYtgvTdPb3CyZvTMHyRi6u922PQnzz36sfSaW97znQ3wmSYyHPXfc+7smd8+c+xo7ZIpj5VQsipa/PmDkijSfN+rO7zz1V3mp2N6gzqe9gm9FC/SeDrF8zR+pPC1IvAc2wR+dlGKQxEnEMXSOQhJafslqSFNnbuQ2swpydwSIYRzZKRAa4GvBYEvqQWSZl3QblimW4bNsyELMz0Su84nvin54Bfm2FSrcf0uwa6tHpdsM+zeusanvmVZXa1x1RbFTBtajZhzxyTn1wL8PY7pFqYk09Nw8KhlrWtYXK5x+SU1Xntzj8/dW2OuBYHvo+Q01+0VvPct5/Hkef78vhmeO11jczdm03TCVFPRqisadUk90AQ+BB5obR3IBUhRATnuxk4NpKkgScmADnHqZEYcp44UMkDHiSFKDFHsygJyYIcxjJKctSW9RNCNYDBKaAddvv9vLfGuV/V57Q2KtU6b7rBOf1BjvXu2htf+PeHXNcL7IxzPfGcC/Gtf/QJpan7kwYef+Q+LZ060Z9sKNbS4Uy1ZEQ2+/MgWvvVsjcW1Zf7BO3rMTkXUozrdQQ1P+/iehx+l+FoTePnSKolil0qPYkGUOJDHGSslCcQppKlzEoxxAZcxNu/hzMDtAK6UyHS9A0gtgEbN0KonTLcSFqaHzM+sc//+iD+4q86Bo9NcMuWxdwvs2OKzYzNcuavLIOny0L42deWxMKOYbsF0K2RmKsH3NUK4m2sY+qx2Y9YHlk4/4fyaz64tLV521XnuenjAgdNtGkGMp3yEmGLvdsUPvX6ZW648zx/c1eKhZ6ZZ6Ws2tROmGwmNmqReUwSeIPAknudiFaXI7EOHcovrYTWGAuhJarLVLbMWE0OSGqLElQDEiS1WxCjJAshEEMaCYaa1eykMhoY0HjLX6PH3v3eZf/aeIYFXY7XToj+s0x8G9AY1ekOf5TNn2vjef5nbfIX/55/93Ae/563f/Z0H8H6/hxTyx+/++md/aX3t3FyrrsqTacBiQEjWRI3OSPEf/tjjucOrfM8r+7z6hh6b50O6vTrD0Mf3fAJfE8X5oQqAx7EkStyyGyeZp52SWX9kzC0xlhLcLkmZMTdo5RImvmep+YZ6LaFVS5hph2yd73KuM+C3PuPxpUdmWV1rctmCYNcmwfZNPjs2CfZsG6H9dT52j+bIySZXbJbMtCRTzRQpQ04vWQItkQKsFUSxZvemLg+T0h0o1rqWc6t1rthR43tf3eFPvuZz7FyAp2OE8DC2SZxIbt6zxu6/3eVLjw346JdmefRYk+0zgvlmSrOWUvOdbPM9F6to5bxpKUVRk2GxWVYY57SkDvA5yJPUSTrno1MBdpY8Sh2wHWvDIDYk/YgdC11eddM6b3vFgDfeYpC0WFmrMwxrDEYBw5HPIEuwDULF2dNn5oS/9Ve/73vfpjrdzvum2v9jJm79DwG4teeA+O8tnbj3l7rLT2+SgoIlA8+dRGMBDEoI1qVPbzTDx+8OuOfpLjdd2eVvv27IW162zvx04E5Q6BPHHlHiEcW6CJSSxHnZcZprS0maClIjSq1tXB7UZuAW2dLtXBqLpwy+Zwj8lHqQ0KqHzE/3GcZDvva05ePfmOKhZ6aZ8T2u227ZOivZPOezbUGyY3PEpdvXeOrYkM98c4EppVmYErSbgnYjpjNI+cK3arR8ixAOWMNQ89Y7Qj7/oKuJ6fQN59c0Oza1ePvL+zy0v8e+gz7NIEFJ4UBuGowip/V/6LUdrth6no/d3eWB56Y5sVZnS1swVbM0fENNG3wPZ6lKdyM7Joe8/MhkUs2YcoVLMqA7goA4FcRpCexRIugngkGKi3miiGZ9wPe/YY33vL7DzVcYNs14DAYt1ns1RmGQOTQew0gTRoo4FhgrSVPDPd96dlPPzP3S97zplebg8bUPXL575q83wNfW1zl4bMCxU40fPnrkrl87deTP544dl3T6TZLUacIc5CZjUyFACYMvJF2vyaluwJkHmzz4dJ8/ub7LO1874I13jJib9glDV2sRJR5x7BWOQJIqkkSSGEmalgA3NmNuU9aUCWGzoNLVcWht8L2UwI+pBxGt+pCUIV99TPKHX5/mmaNTiDjgkhnL1mnL/LRiYdZny7xk20LMri1dTi71+J3PNknCOjt2CKZbmnYT2o0Y4UV0h02mWxYhBNZCnEhmA0ViEnqxT2+QstZVnF6qc82lLX7ye9b51T8KOL7URKs4uzE0SVJjFEm2zAXcfFmX6y/t8+zx03z8G3XuenSaM506zUDR8qHpuYywp0BLl84XYry6zgDWuJsuNYLUQpIK55+ngih1SaJhKhimMEotcZJgooi52oA3vW6dd7+uxyuuS2jXNHHcZHW9xijyiSKPUX6EmihSJKlwTd/KMjstWBuu8NgTf7bp+suGv/bKO1+XWHvs9wf9OZqt9l9PgA+HQ67e23zbV+9+6Dff99H724tLmvm2YqaZZKl2UAo8JTCe41QpcovOEihBT2kGcZvzYY0/f7DBPc8MeOlX+vyj7+tx9a4um6YVbamJYp8o8UgSXYDcgVuSGomxEleXJYr0u2Nug1IWrQxaJwR+gqciusOYpW7Mf/pUjaPnZ3hs3zTW+MzVBZvmLfNTgrm2Ym7aY/OcZMtcwvaFAXPTa3zpccOjz01z/Q7BTEvSakjaDUOzHiG8kCDQaOV+v7WQppJhqBmOYhIj6A0Nvb5lteuxuNLm9iv7vOyadT72lRr1VYWWsQOk1SSpTxRLhqHH/HSNW/b2ueWyPg+/6gzHlyR/cNc059cbnFoJ8JWk6Qn8XIZJd74LIs+lCo7JEytIDMRGEKYwSiAyFtIEkhilQrbPDLlut7set16d0q5r4rhFp+cTxj5R7BFGHlGiCCOPMMrsyExGWguessxNwd4dkqlGj3Tl3rkDz8z+5tZdt64l8eAzf5WY/CsD+OKZg2zeskV95s8+cdnjTx5o1+iyfdZDyfLvOCtOYD2Lzc6wFBmzS/Al1BQMlaDveQwTzUrU4K5Hp7j/uSHNIOTvvrnDzrmE3duG3H5tDy1ci5gQTq64rKSrlba2wtxYhHQFWmFssSQgE549Knlkv+ZzD7V49kSLKGnQ0oqFumW2aZlpWOeDtzWzU5q5acGW2YRtC0O2LqxxzzMhv/u5TWyd1iy0od1UtJuCViOhHoTc/7xiFGk8l9NyGjyR1LTixiuGPPj0tCt8Gqasdz2W1wPOLc/wk285x6nlFR58YgFPAiLGAEmiMxBJ+kPNTKvGdLvJy64Y8KrrB/zt1yyx/6Th8w/VeGh/neePNEmEJgwVg1ihhCt/GA88s5yANSTGYo3BEylTfkSNmJfd1GfP1hE75mN+8I0hdV/RrGmiuEGn50AdxzqTjypztCqxUiydu5W6FTVfRoYjnyieo9tL2X/8/vbclnOXveud71JPPXsgfcm1V/71Afi+fc8RmWn/6ace+VFB8h/icJ35mYAwMqQmSzhYEAjQmQjGSQUpQUqLzljGTx2TN1IYacEw1dlRo9dL+bWPzWCTmM0LI67ZNWJuKuGdrx2ya1Pk9J3JejMrzJ3VbCGlQUjBJ++u89ThJkJrjp9pcPpcg1pdMRUIppuWds3QrkGrLphqKNotxUxLMzcN89MJm+dGbN/UJbXrfPKbbYb9JpfvsLQbilZD0qobWrUEz4v40oM1woHE2+S6RXOJ0qwr3vTSIfc+buiHkv4wpTvQrPc0iysNrt7T4p2v6PLYsw2Or7ZQ0gBxppc94tS5SaNI0h9pOn2fVr1Bsx5y9Y4Rt1054uT5DsfOrqO9lCePaP7kGw2EygvX5PhFtAYwYC1xlLJ7c8K7Xztkvp1y5W7L5jlIE48wapEkrmsqTtyRJJo4LWOiKFHEsXRxUuJuaOduiUwCCTd1IFaYFAahZnl9hVp713946OFHBtdevfeDBw7si6688uq/HgA/ffoUtWD5itNnTv3Wow8/IhGSWqCQwnWcuIvionVpnA6WQmSVgU4jagU6sSSpwNfOoqobaKWWKBWERhCmHqHxSAws9dt84ymDJeXPHooRInUXybqLBJlZIqoViRKpFEmskUbjaUkrgD0LlqZnaASGRgCNQNCsS1p1RbuhmWpJZtowN5WwMBOybaFHyhr/6U9r3Pf0JvbOwUwjY++GpFVPaNQjmo0h9XqDQEmUzDQ4Tg7EscdoKBiGKb1Q0R8ZekPjWuaaPqfOTXHnNSE//a5z/MafaE6sBwhhsDbGpJY48YhiySh0NdqtoaZZ82nUazSCBrUgplWPuPnyCN+LufXyhB983QCtkiwJZFy9fVWUZ5LOGIkQksBTgM8o1KysaVe3k+Yxj3t28tAVrMWJi4XyoD+Oc3dLZCaA891NJdmWpC5rKgQ898xjstXwfiuJR98MR+EzfxXY/H8M8A/+/ic4t5rUl8/te8e5M8dEZi7jKYHwpXNMMoCnqUUakQHcBT7OiiqBnpos86iyqN5kfrYRJMYV88RZRi62ktRoYhOQZrZX9VFkKQVoIVymUkGtbqlpS02lBB4EGmq+pR4I6r6kUZc0atoBvCmYbhlm2wlz0yGbZvts27TC737O8NG7NrNzWjHfMrSbilZD0WxAo57SqsecXTEcPhtQ8135LeSVfoJRpNmzxbBlfkR35DMc2YzFJes9Tateo9WY5gdfd54jZxf5vc9sR0uNxZCa1J2LxDkTw8gVRQ1qksZIUw886kFKp+diDN9Ls4RZipauUUJKl84X2eFKV7LpBNathB2TVVkaF9e4+KaMdZLKc5y6MoQk09oO8KLImibG2bdpKkjT7Loa9zpO8oSbZN++p0XNG7zjmqt2H374/k8PX/ryt7+4AN+5teWvr/d+dmV56WdHo5GsBSpjTomQFpmBVhqLyl9LSKX7giqL8F3SwT17mVWVZvaVOyypzU5QnqywYKwoAqWq5gayTF6u8U0mg5yz4CmBp63zjbWgFkhqvqQeKOo1RasuaTUsU82U6VbCbDtkfmbArs0rPPR8yMfu3sZMLWBzy9BuCAfuuqRZMzRrCa1GyEMH4Mn9DS5bsJnuLdPmw1Bx65WWy3cNefiZaQahZThK6Q91BnKPRq1OvTbN979ylSefP8+D+7aAVRiTunLYxJLEtqgnGYaaxshSrylqviHwPQI/JdAGrVM87UqMlTJuCxbpiAZhKw0lohKci+z85iB3DRXFayMykIsC1PnrNLMYyz/LyUoU+YnimmfJOIsgCkfy7OL5f53apq+Dxi8C0YsG8HA0lGE4/Pkvff6P/jeRnven2x6QReTGVecpaUmMRaWWVFpUBvREZsyuQKVOymgDJnX/bWosJjsJzsYqU+3O+qNI3lQy72Mrbp6qzhM6ruRWOIAXRVsu+xf4ilqgqAeCRl3QqlvajZSpZsJ0K2Ruasi2hTUePDDk5z+0mROnprl03jDdgHZd0awrmjVo1lLqtRjfG9EZWZRUeMoiZfnJcmDEiU+7HjNIDIPQ7c8zGKX0BpJOXdHoBdSCFpdsifmFH+3wbz4s+da+zVgUxhrS1JCkSZZKV4wixTCQ1ENFzZcEviXwFYE2eJ7z+7WyWbmxA7jKZIoQ9oIGXZPFMcaUrJ7XzadGYIp8g3OGkoyR01Rkr0VBWknG3AVh5QRWEJnDQxjBE8+c8nd1g3/+9/7uD3qDweBfNhqNv3Q6/y8NcGuXsbb3i6unvvxP6uJgbdcWSX9oCWNX26CMY+nECAfgjL0dg7sESy5btLLZibKYLNNpbHZnV5IRBVtnZaD5wQTAM5VUBLFK5HXlLpAtym21q2nxPUUtcCMZ6oGlWTO0GintRsxUK2K2PWTbwjoP7h/wbz44z4ETs+yedQ5Lqy5pNqRj77qlUUtp1GLiNOIjX2khlcKTFiVKm9DYbDlPPX7oDWt8+dGIXhQwyADeHyp6fUUn0NT8gMBrc+XOhH/3Yyv8qw8KHnhms0uWGJdWjxNXaBZGhrDmyl2DQFDzBIHvMpu+tkXGViuDVG7llMIi8ucqQ9gc5BSMnk8YMPnrXGZkybSSnUVR1HYhqCsrc5Y9zXGRJK6wqz8yHF08XEuCu//pD7zz9eL4Yvfndm/5y3njf2mAP39wP2BfJta/WN86B0kyA7jOGyndHZtIkKkDukwFyjh5kSoHZGMgVeXda4qANAd0+Wyzk2szBs/KnbETnysHuBQgpJsfIivsrXVedyLxPOnqN3xBLXAzTxpBSrPuwN1uRky3hyxMd3ho/4Cf/8Aszx6fZ8eMYK5ZkSY1TbPm6lfqtYR6EOF5IadXZvCUQEmT2XJlkJmmkiRRbJ2xJElMN64xDC2j0DAcpfRGkvpAUfM9fK+Gp6e4akfCv/t7S/yL98ODz20iNdIBPLXESZoxuSEMDLVIMvJVIcE8DzztJJqrU3HOlZS5m2WLwqwJjDu5Qr5qioJ0rM3B7X6eppDaDPgVYJsKYzviqhgPqVvhk9QVeA0jN/ri8PmQM1+9p/6mV215mZSSv+zjLwXwj33i8/TWdONnfuPz/kwz4R+93VALDHpo8LQLVhzIBKnIvqTKv2R298tcU9sKiLMvnWlsB2Y7LkeyZdNe5LNJURZROQtSFOBW0s3aLuUJ1DwIfEO9ZqkHTj836jHtRsR0c8j8TIdHD474V++b4enjC2ybViw0DVN1QasmadQUjbqgXnM3h0v1Rzy4T9Af+dQUWbpc5O5oEWjGiaZZU9x+bY+Hnm0ziJ1MGYYpg6GiFygCX+F7fqafp7l6p+GXf+I8P/Pf4IF9m4iNJDYma5YuezBDXxL4xrG3V9bRa5UfZDKllHEyy/JuDPLsQFSuB6Q5+Rj3Oi/kKqoWc7KaALfrOMqAnlLcqEkCYQTtVso/fvtRpqJP+mHt7zaefeKLg2tvfPP/eIDvO3CEPZfsmP79j37qdxZq4SsPHZ/i+ROWubbCWgcqrXImdSdQZcuYkhTBYVEnohyr24IJbFb1V6mXyJ6ttQVzk2nv4mIIV1AkJEUfZw5uB3BXD+Npx2S+B75nqPlZgVWQUs/kRaseMtUaMtPq8sShkH/1vhmePLaJLdOahYZhqg7NmqBZVzTqikbB3im1IKHVGHHPkz7rnRozM2WaPAdMvpzHqWLTnOJ1N/S55xHjumgiUwG5pOZJap7G0z5a15HScPVOyy/9xHl+5r9ZHjiwidho4rwCMLUFkwexLKoLfS3RWcOIlgKl83ND8fmKm5A8rV9mZfKE0ORhKs8FuPOVt3I9U2OxlVU5HXvtgG+Nu9nqAWybUVwyN83Rk7VXzm97/v033/62n1pfObY+PXfJ/1iALy4usrq68jPHjh17j0jWuPXyOudXNNa4JU/gLDEB2VAa1x+oMovaZDUP5Ymgou1yrZezdbYUYisMUqEUylLQvM7C6cmyxlupsmJQK1x9hrZ4nmssrvmGmp9SryU0ajHNWkirMWJ2qsNjz4f87H+b54kjm9k07bGpkTLVsBm4M/auSeqBY/9akNAIIhIT0osChJJ4OYMXGlxkN7iz1OLYo+mPXLlAVGMmB/koZeA7Bg986TqcdL4BreW6Syy/+lPn+N9/2/DA/s3ERhOmgijNW8kEtdgQeBbfE/jaZKuXzPpa3Yqmsr7XXNLJSvwCJeDHYp0JcBcklK/EtiIvK6tzVXIak6/MtphmYHGlHLNtyXw74NF9U9T8PpE58Z7ZQ88cTtP4v7uZ878L4GfPnGbL1m27P/CBD14fj1bYvrlBo+4agZPUoLKARVmn6ax1wWZxl2dgL8EtsuX6QjYopIjJlsX8BJcIL1m7GlQW2VGX/ldZMKW1xVMO2L62RfVgzUsz3RxTr4XMtAdMNXs8uC/h5353nsePbGZhSrNQT5mqWVoZuOs1Zyfm4K4HKTU/od2M2HfMcvdjTXwp8ZTrrKnudZO7QnGqSIzm1TfHXHZpn8Mn6iw0YBRZd4Qpg1HGwlqhtZfZqs67vnY3/PJ7l/kX/83wzWcXGMV1wlQSJZZG4iRL4OFArvPVyxS9rVKlxQqnpKgAXFRAzgV6pQR5hXjGVtuqxGQM4LZy/at/Xm1A0VqQJJbFFUs98OiNlhimT17/ju/7od1nTp8+vm379r96gK8sLdJsti957pmH/6Om97ZWLclYBWpBFrCoSjFP9pnzD1/ctWNBCpUTUNpS+d086ZRUzjF5hfMF4BYWqXJb0IFBq4y1tRsx4XmGwDMEfkLNT6gFEY1ayOzUgLXegHufgV/+wy08dWie+Qzc03VLqy5o1kThlTvnxTj29h3A60FIlKaMhjVqyt1kMgdMsfhkllsqSRLttLwO3ai6WFQAbvD9FN/TeJ50jdjSKwCOgJfsEfzyT63xa3+U8MD+Oc502oyakunU0kostWziQODZzPvPnRRbsHcuVXKAF583+9BVnNvqdbC2cq3sOJvn185UQD4G9MrKnP+D2TVMU7eKWRKGoWRprYfVy2/71oMPpje+5Pp/evr0mWPbt//F9vT8CwN8beU4w379tqWzB97RXz/EwqyPwBTsqLPaalnxUy1l8qVg5eILi8pdL4rlKmfpKsDLx1g6orgIbtxD3luZ6f7MinSJHVcW62mDX5THOnAHfgbu2T5La0N+6SMNPvOtBZb7MyxMSRZqGbhrTnc3ssCyHkgagc0Y3GnvWhABEV9/wmct9pkLGKvHRlSXdKfDo1jTDjSvvWnAgwcienHAVGyyLnaDH7padV/LbGyGRUkPIV2CBgtX7ZT8xj/q8vkHh/ziBzZzanmG4bRm2he0EkMjgSB2o5d95QYaeXmgKUURBOfP1UC9uDFFCfAC6JXrBBXgjjH7BOCr7xm/vrnEtNZgjCBODEo60nvk8QPUm3Pv8IPGRwaD4bG/UgaPwgGeX7/8+KH7/3F35WnmpsHYtPhwOaByy2lsRcsTMRXZUQI8/1n1BIixLz4O8LKGvGTvrCIxcwFklhl1NpgDtlYO3J5O8b0U30uo+TGBH9OqD9F6wD1Pprz/C20+d98mItNmU1swX3OyxFmAuU+uskNkzF1l7xitQ+5/bppBpNnasNl5mWTwLBYxrn6j5iledvWQxDiAD2PBKHdDIjdyzdO5xakyILrsY1a2xvy04D2v6dMKzvCBLwy597k5FuM6g5qknVia2jqQ6ywOUVn9j7IZyDNiyOKXvB5LUrL45I6CVZCD3XDltfbCnxtTnocqe4MjgkRaVFISmLWuGfqeB55m72WX/+O3vOHOx3u9wcFW69uPhPu2AB92j3Li0JcJalPbuisHX+WJZaZagbN7LG5+YGYvOR/Vlnd7AdIS2LnNVAVyYT/ZSWCLcT+wALadkCa28HGVNBnATVbznYFbuVqMwIvx/ZiaF9FojPD9AX94l+ZXfn8Th5dm8YIaW1qC2SClHViaATSzDvt64LKdtSwh5OpX0mwlcPJkuZvSj3x8pfClLQLM/LM72ZYFmll6O0o86t6ILdND1gcthrHIxq25WMHz0szmywYfSVWSSRG4usrHt72iz63XLPHLfzDio19aYDVpMgg8mp6krV0NTqDBVxTNEDpP+hREJYoscHGuNwD4GNgr1238uk4AngvZu6jXz/6vGlflN0hqBOfX17n/4X2vGgyTbStrnYPPHDjJdVfu/H8GcGzK7r13XtJdeeZ3l4eP026mJGnsim+MA+vYTThZnVYBeAlicQH4qyz/Qo88pezsQFvq7kxvu7mFFeZWqQO5l+BrJ0kCPyTwhhw7l/B7n2/y6W/OceTcDO2Gx2wNZoKUVmCz1HsObpmBWxZJoVqmvQPf3TjtZsin7tccPF6npoTLGOYOCiXKy4Db6fA40Vy1G7771h7v/+Ic/YamHVtGsSWIsrhBGbTOhiApKiD3KufbrQq75iU/93cGXL/nFP/tc7McWZxiNakz8DRNJWhkQPeldTdO5jKVLG6LYF2IbFOYqoU4CZGJN2OaPPuZyYFcvdaVn1VJbEzr29JPH8War9y3n+uvv+Z33/LGV7x5ebX7baXKCwLc2iFQI+p+fYeIHtpb14vIRjNrSJXFyLMLAkFbeqdUgE2FpUsGLy969b/dCNjuuQR2KU+y6sSsxkLJnL1TPJW4zh0vIQhCfB3SSyN+6xM+H/j8Fk6vTGNUndkpxaxvmfINjYy5G0X6XmZ1Kpk0ybzzAty+y16GccTBUwH9KGAmyFycPOmUuxL5RbaVmpRY025q9uyIUMGIXtRi6Avq2QwSP5NXXiZRdO56CHWR4FWxMDXgJ9824B2vXuQDn+/ye5+cY3nYZKhr1LSioQV1ZQkS69hcOqmiZWlr5qtiweSMy8ONMVMB/QZgnmT6guQm7pT87+eOU2IgShXHT/f47L3P7sVTO9795pcdG45G1Gu1vxzA09FZhJpaEML/hB1+w2vUAqQK0Yku28OsgKzyrPzQGwA6kxsFi+fvixMiwE6wAfmqUDm5WeVbefJz9jbFzEIlHbi1SvG9mJof4XsRnVHE/U9J/vCuNp/85hyjtIXv+8z5gmnf0PQtjcDS8Etw1wJJEEiCTJq4xFDmTGQA9z2X+Tx61nLvow2i2CNo2gsCzPyRW6R5KWoUKzxP87pbe3zsq30OnGoyrLnRDKFn8RPwYoMXGTfKTopMRshyuE8O8NxjN5JGoNk8PeR///4BV+8K+ehdLR7ZN8XSsMlI+XiepqYFdQmBzGzU3F6VZc1+9WAjoG/gclWBXr3WdvLP7AvfDGlWDhAb1xvax+fjX3rM+7433fqJs+fXb1ha6y29EIZfEODfeHaTnPWevm2b/7kpnaR4XgwCtEpJUlWUTVojL5AiVBm6KlWg8mfVm2HjxzjAK4VBwpTsLU1mB6YO4Cot5IjWMZ1+zH3PCD70xTZ3PTbFaqeFrNdo1RXTnqXtGxqepeFb6j4ZazvmrgeSmq+o+YKaT1ahZzJwG7cy+AlKhzx/Ck53ai6xkunb8cRJQeBZH2RWcmrcAKTNbcHlO4c8fSJhEHvZSDTwI9fH6Kk0kyh5ogbkRGdOfvPkNmScuvrwd79uyBtfusbXHu/x4S+1eWRfm5Veg4706fsaXwl8KQiy1kEt3S51SlQYXWRlv3BRXV5NU4xbihPgrdyUVH5mbJW9sx5RKwgNDFNBmFpI4AOf/MbUnh3hbTdcteeLvMDwoBcEeHf9ZNC36W+n8qnmtbtGRLEDk05VUfhurCzKKYuDquaufAFbsnh5l4uNWbt4k2VFK8X5YgzYJntOUTLFz90MGbPUS7jnUc0X7mvxmXunON9tImo1vJZHW8OU5zp56h6Z7IC6L7JDZiWnme72BUHO3jnAdYLvJ9T8CGtjvv5YwPGzdeZnBZ402TIvxnIDxcU3ZflpmiqGocfuzYLX3TTg09+K6Mcew1hQ8yx+4lg8jG1llVKFX42QYzLFHbJsVDDOb68HIe9+zZDvunWFP/tmj8/f1+Cep1qc7zQYCp+hr9GeQguBJwWelHjCZlLLOoeFikSsAHwjxVIF+MbsLcZAnfvlxgrXf2odc8cGYmtJTQomRsQRK8tPNHcu3PDbcOpqYPjfDfDFVUsUDX/gqSe/Nr1pyxlqTYkapcRZJ7sxquxeL55FAWqbfchCvhR3dSlfJu/04iQVJ82WtcqZ3nbPDtgiA7jWKb6OqdViRmHKgdNw7Izi41+Z4ouPtDm/1gSvhm57NJSk5Vla2lD3LHUPap4Dd81zMwldmamsHCL7c5uB3BQg9z3Xnnb4jOHpowF4XrbM20qKXoxR3Zi+LJoC3Djn6/aEXLOjz/7TDYY1QSMRBLElVGTWninGSbtAM7cgS61S+OyZFWmMyqYPuDEO9XrIj7wp5K23r/PlR/v88VcbHDtTY//pBtF6QBJoRlojlXTpfEBL6SozKYNQJSr5iI3IiQtBXThpOaARhX+eVkGOzUo6sum/NobUHXYUc2R/j/u/9SRbNzVfiKNfgMGTZUEa/fR9jzw5fXiuzksvS7jl8pBaLXZ9jZEminQBcmNco6/J2KMEOmDlRSRJyeTjDowtgkkAIUzJ2sJkAE8JAjdJNUlTFlfgK9/QHD5V5+6H6pxeq3P4TBOCANXQ1LSiqS1NbZyL4FkC7QbHBx4ZiPNDZofKAE6muTNweymB59jb3VgRR5dg37EGnhy3BwuJQlkPXlimRfOAzPocPa7ZPeTyTQOeOZIwSDxasSDU4GczAVUF4FK6TQKqTE4VJKYig9Lsd6SKOPUIPZ92PeKH3hDyiuu7nF7r8vWHfY6cDPjyYw3OrNRIhx5GamJfIaR0K4XIfh95xrP0hzZi88IkqcqS/AYvfm4rroul7K01YFOIXF+bUDFSxbz0+hG3XRYSDR6e37Lj5/7xmcWjv7pty54Nhe5FAf78vt8nihMeeeYUDzw6z67tCdddGvGqm0Ou2ROzdSZm7+4QbSVxpLIhOw7oY3LF5l3uk4Hkxh53AW7sWEDppIjT116QEqeWIycFTx9RfOWhBs8c9XnuaJ1uGBBGAXg+qu25Dn0FDW2oV3zgQOd1GnnZrKsLDzJZ4vsK35fZDWBL7e2l2dB9p/Nrfow1EedWJaEN0FriS4uu2GwTBD4WQFX7HaPEQ6BZmI2QakQ/9hho4ZyOuCwY08qMZSClqBrtspJvkCWTV3oovVQV4ycGoc+WmYhdm2NuvjRkGA35u0c7PHPM5ysP1nj6aI0jJ2rEiYJAYaXCCMlYNiiHeF6gVSWvcZhPiPTcUio7+l0NR+pexymalL2XhGyfibhqT8Srbwm5bk/Czm0xDz6dNO+652vvAf2r/10M/p8++CW+/Ni6uufRR8Vz+6dZi2D1sOHpI4YvPxQz5aXs2h5x3ZUhb7g15DU3xmBdGWq9SSZLJMK60bw2d1oAa/N9Njb4xUUwadDazTER0hBHlsHIAf/YKckf3RUwiBVPPFfj0MmA5b5PmPqgfVAeqq3wpaCuoKEsNYUbZ6aywiPlWNv3hEt6VMHtSfxMlgQ+BD6Za+JS5p42+F6SZURj6rWI82spX3mgRacXMDMl0JkXLys4mHzkhWRFQGgkYaiYn1O88fYRX35kyIlOk6EnnUzR4CUWL84968xjl6mzC6nOOpHF7zBWV36HA7qfKlKtSDxFnGri2Mus1JimH/OK6xJednXI21814vmTkif3eQwjxUe/0uDoogdCMhhq0khl6U6J1SXA7cW+cJH9yw5jEQmIYve8lHrDJeQEhte+POQNt4y49oqI3dtTpjzBfNvdxJEJuGEPDJInxOzCy9Xa6T9NZrZ/718M4BaYaU/91vPH5EvO9Kag5kYyGJOyNDQs9VKOriY88EzKJ74WszCTgjHceEXIu18/Ik1cfe/CtOHG60IaNbceiUmFNgZylxGVEjoDwZOPa1a6rmrvoX0en/1mjVGsGMWKs4s+Rmhi62GEB1ojAo2WEl8J6tJSU5ZAQaAsgbKuBlxnnq8umdvP+zILcKusR1MU7O17Bt/PC7TSgr19P0apiG88rvj0t1ooXzu7bUx/X5zBcy/c6XBJnCpGI4+33jHkM/d3+ejXp+gnNZqZDvdyHR6XpRF5t5AQ+Z2Un2VZ0foVgBvH5Il2TO5pRaI1Okkd0FWKUm6Q/kwt4Y4rE26/MsaKkHe+ZsAoduPc/vybAQ/v86kHguWu4slnfbp9iZj0RDdEl5MjzcBw4w0R89Opy4ynhne9fsSNlyVYa1mYtsxOg0JhrdtuZjBU2TBVQTMQ1ILwJV4w81tgf/IvxOCLy102z7XaP/Prn7gyCkcKrRBSF0uKzXSRMSmhSTnXNZxbTwHDgZMpn73baSebWqZmUm57SUSrZjB5JHHRh8gmvgrW+4pHnvbpdhRSS0IjCa12zCS0KxqWGiE1Uko8Kagp5+UG0uDLCphlOaPPgVyUDQ/aNQLkjcdVcDuGz8pqvZzB08qREOgYayNOL/tEYY1gSuJnaW+VVeWNZTGzlav0rEUF5G4kQxR7zLQUO+cjfDFimAQME0FduyGYeQ1JntBSslreKovfla+WLvljyuypMVnPZCmNkiTNkmIqK3FIiJMUFbsxE1qlSJWwY95kK4bh6l0jIjtEakOnI3jkaY/1gcgmmYkXxjiuZLYZGF72kpipGYtNnJytSYESKjs/kjSSxBVDwxgH8OxfwfP7ytdLV9YW3ts2yVpX6pkXBviJ08ssnl/71cefO/2atUHElO+CitQKEguJVRjrucq/fH8b6xg+sZaOdWBHGbrrlrPfqKTuLtpoNl58bIXE5FsukD0LVQY5UqKEm7kXSJdy9qXNtiCx2fyTkvFycHvaddS7rfcowO3autyWKIEv8DVFialj8IzFtdsTyNMJnhcTBDEnlw1/8OUmaB9PijLALOSJuIDBq0mNfEioA5sbrBPFHj/4xiF/ds+Q58616KcejcRtSuuqAG3ZiZPtyVP8LiiYvPCejawUeOWHKWphtFZ4aUqsXMbUFXQ5O7KwYFVauFcyi4e0sAibMt+w/K07DQhTxE4UzxvJlexnRmCMj4lLazNOJWHuzGVMXcZ2+dbqsrCfkyTGqqOvUY0jv2pt8ve/LYO//2NfRUrhr5w5y5aaKzk1tuxojy3E+aBGqzLA60pFYL4BkgsaUq8aSLwQe4vKs8yaGVyklkfrWoAnMlYWTgpoSeU5b6qtFBJpKnNQHMh9XXbVlwCXhWwJfFu0tPm+qQzOSfAy9vZ1jJQRxxcFS90aQmsCyZg8kZWvlX3LcRehMpahDAQVUeIx1w7ZvWXI/sWQYaoZpRCkAi+1eEmmwxMKZ6nMLKpxsshuKGcC5A3doiKNDDo1pEqidL59ec7k+ZCgKrANSuSTsUyRdKvmKBBZFCAsF4F4YUCAcG4SolxxrAuQ0wLoJcjzGp7SxPAZRGuE6Wd9u4FCuADgp44fRwjQZshs3WKo9M5Z126WZg2miaXINJUMLyuFNZa8c3KjstcxVZ4t5TnjOb8VtAAtbHZkoM0kQP66eM4aDHRRCkrRYOsr4cA+Bm7pnv0c6HnwSbE9oZ81SeQSxdNOn/p+TELM5++vc26pjjel8HNpIu24gzJ5kSsavBzBUCZ9RqGbYPuWl/e5/6kR3aTGQGvqiSHK0ulKlgVRZZbRUHYO5YFmtUQZt8Rb466jcr9TG0GiBDrNt290ZQ850McTarYY+yaFyQq+bAXsWXJelNd5o9VrvJwjz5uUzk8+Qq5g8UxS5QDPwZ4aYGjph2c3pM4xgH/kj++i1azf+ZnP333r6nKCDCju+hzUboZFVvOQATzNGD61+U0gMtM+vzNfQJxUAHBBIgGKLJrMMmm6qHjLdiOW+bMoRiFUgV3MQVG4fsSNAJ4HnLnu1rkssZneHq8l970Y34tY7BgeO1QH7aMzeaIrBUpj2b5qkElWA58zeT52Ic86poo49rjpspC56SGdtQaDRNFQ4CXuu6jUDVNScRXgWc6g+EXywipOY4vss1GG1Ag8I0iVJFWGVAmSDOSJLIvXZOYM5dWaMgO4kHYsyzw2KasqxUVpExYtMXY8413GJdkQVSsLh8n18rqYYexnqau9aerWrbsue8WdJw6++r5dl5fd92MAtyZmFNq/paS9URLTCPTY+LQkmzzlgJz/PG8YzjJP2euipgC+LcALJ3UMGDYL1KiUcJbaU4q8Ja0sDlLKjWfWWcuapwSq6F4pgZ033zr2zjS3ptDbuSXoGLsEt5fpb61jBDGf+2bA/c+0kIHGl8LN3y4qCMvvU2b6JrOZ1dFoOUu5MojhyOP2a4d89yt6/N7nWkRpQD+V1FJLmGQrVXXFECbbGdpM3FAXY3IwWmajGwSpMo7Fc3ArgZYyGxBUMncB8rGSiaz5ogB6meEEe9GAc8w+zqVHLlmKQUPZhgY52NM8XillXRwnqBo3Dofh30pTc9+GDH7ixGna7eYb//xzX/07vc4y7YbCkg1KTC2JAZ2NWivGdZlymEu1Da2cFVhmsarCpLjU2RevMp2gBEW1LjkHvspHUYwBnYzBKcZDOCbPWDzrhvHUOLjdOIUJ5s56Nv2svc3TecNBUjliImL++OttUhugiuxlNcAs+xpzZ2NMgyMqM1+yJTezC12wqRF4vPu1Az7y+ZB1EzNMawxTgZdQsLiUFpmIrPDMZHbhZLwjKa1JUQG5INWu8z1RAk8ZUu1WaJ1KUmmRyrh0vTQuuM8BXWSVs88AYwCnAvSLPcaLrSpavALw1ApMDuoc4KkgLmIWQRIrhovrNGdGf+fql7zm7pXlM1+em982DvA4jgnD6LLRaLg3ifu06l62V4slTgUq27UszTcskpXZJplcKXssK8U0G4C7ymWTHSOScfabrEsuO0/y9+Vsj3xPGpXJEqUmht1kwNZKlE5KYQe6jnvXmGwz5i4DTF1h78CLeOyQ5OCZGlZ5KCnxpUFXb8rMJiwcwo3y14UGp6ItReGoxInH3m0x11za51vP14mVzzAR1KQbUKoTkRVBZV04SabDkTioTMoiMRHclmyuszhAGZtJleyGTUU2ak+OsbdjbjlWlz/G4OIFdHjB4IxVneY3X7GyFdNtRWX2oSgm2MaV51E4Ykt/uDeJo8vSJPnyBQze6a4TxyHWhDRrCqkkUeymvMrEXbhEumGKUmZDE4XFyIkpr6ZaYGNfGOAVjVZNiuQgz3WlrDB1KVlE2T0vKDpdcibP972sbv+dA7w6/Md121MAu8hWFsydZtuFZ8GljrHE/MnXG6ys1BGBxpfO3VGT+nsywBzzwcvJAtU67sKbNoo41szPSt71uh6PHWoTpjUGyqeeOi0+Vs6aVEpZMZknnhfmZlJlQo8X8x4rk6i0IQNWviI5J02ZvLlEjsmV8jrZsWtWBfjFLPGi2rAKclOVbVRu+KymJnGjmvMd9aLEzR8fDiXrnZDV1TWicHShRPnqXV9ESclap8P0VECSuHRwFJuSTdPsS6TZ++oko5y95Th7b5iRvwDkdgNwZ1ngCljU2FCfcuagY+3y2YE8G9emxwHu62wAkJdvHZglhbTFK1LxJnudjh1auc6d547DJ+5qEUofJVWWvRyfyTKZwRQXvbhM6PCMuVJFkmqCVPOuN4z40BcHPHWkTqw8BlLipyZzj0R5XYphmqJwM9zDZL9rfN+iKpOX4M4n/ebxjkGm+YiJsnuq6NuUFS1erdsvvrv9tufA5GXUFzD4OMCLOeSJcNuiJCLbdlwwCjXP7DvM0ZNLWFNKNA3Q75ym0d7W+PSfvH9PcniNNNaMIlupbchPlsjuSFHcpUYwFrxUm0t5IYAXvu24/nad3JMgF2PyJK+zLsYdVMYfVKc2aZ0DPdPeagLcefreyxuTjZsZUrSIZYkPnWRHjPIiDp7W9CIflM7kiZ0oj534XpMuSkUPF2CrptJNNfGjaXqCK7ePeOpgRGoChsanlrqabZ1pcCXcZq3OZs1Z05AHmSWTV/1ml57QeeyUSU6VDct08Yws5rqXxV15nU3ZMliwdw5wWQ0082t9IRom+wUs5aSznM2TNC8xyJg72/w3jNyW7sMQBkOLGYxoTW/b89M//d7G297+A4NL92x3AO91zhKH62/YvWPqZxZPDUkbbrsPCl1tyMc7lCB3AZQRFd1dgJtvr70L9nbP+WTTvH46B8r4cMiygcCVi1aeK8wtK7Kkuouxp8i8cAduB+ByKFDO4J6eYO+8r9OPWO0Z/u8/bbEyrCECz8kTWXF3qoN+vk3GujhXppw0UDK4c1SSRNNuaP7B9/b42mNtVkKfSGqGUuIXPZTVmysjoKKW3hRltBaTgdtgkYw7K+7fcmP2XHBurFultRRFU/c4sEuwV/tkc7DnBJav0sX7iXOQ8XyWdR1fXXINnuSD9JNsi8M42205gsHIjZ1e647Ye8X0zzz02L77hoPhnxUMvrT4HFr79LvHqfkRSVrPhtjLYr93ZaozAzOQGzDC3W3STswP/DbyZHI8QLkqjNtrpYNSTosdA7gaH7KpKqDWUqIzSaILgOea2xRBpadNBdyp68RX4+ztqRjfj/j41z2ePVwH6SGlJJAVO1OMa/D8C160mrDC5mUMU4I8Ma7lLEk8rts74G2v6PKhL9YwOmAofQIpyqTPBNgmmVxUmfyCwC4DlQJl3apgrEAZF7CbLM5JpXDTy6QogmlRJJzyeZQVDZ6TFxQ++MVmq1DEBtUsr7gw82pyZw/iGKLIEkYpo8jQ6UXse/44sVGEYUgBcGN9jA0Ajact9ZpxNQHZMiBz2SDd55TZBxJYMl9/omsney6i6IxR8hrwCmNPLuUlwKssLir6tgpwJ09kFdxSlgAvEj05wK2bk51JEU9VAK4uZG6tHHt72k2tWusY/vwbLZY7AdS8CXlycYmCmKijzFlrI9uu2omTSZQ40cy0Fd/zmgGfuX/ESj8gUpphKjN7UpQtZZUZNaL6yzL2zn9kCjYvp44pm+lwJdBZPJVPBVY5ixv3nOY3lChrbgrAY7Oqwvw8lHJXVDCRf5hikkKlV9dUz01lZ4mq25QYiGI3w3EUGpIUfF/TbPho5b63Pn3yMI3mzCVHDj760+fPL1ELBNpLSY1gEFb0UfaRJAIrbH5bOsBTsveYLMmi9nxS6ZhEqciTanq+BLm4QJaI/ESLqjwRZYdLxtqqCmxV7kWvc+auAnsDeaJ1NamToJXLXB49Jnj+eA1DgJDOPdGiLB0Yd1DGu10QJdzGJFwlk2dM5iJUeimNkSSpBqu5anfE3q0jVvbXsanvWDzNPP+Ki1OAimqhV14PJCtdNqao3S/YU5ZuWB7bGAkmWyVSOe5mFStrEVhmm4zJ/HuXn8OdBjuBhfy8iDGHqdqvaSp2dMb1RZVmkhoG2Q51xkrOn1vkzpdd+9OvvPPOJ17/qoPHtKdihB1uadSiN9bVWRptBcQ0Ap+VdZ9RmBLFphhxm18riSvwu3CQz9jNOaZNquDemL3Lju0qW5dgHx9qXzyrksF14YNXj2xLa1UFdwlyrSpDglTJ3ip7r3WMUjGf/1aLg8t18Et5UnVPxAR7f7vS6PHYpbLpkymPoow20lw6H/GW2wc8/FwDjEeSOi3updmQz3RcKhVSpWIQ5IFnuZlA6VxY68BsrcDm9q/MD1Ho7/y1MOO5idIoEEhjixt7TI+zsWSrnpOxKQyVvEp+gygl8DxLLZtWvLhq6A4dINeOrtDtJ2/s9sItg1F6TDdqEcqLmZsaYHas0KwrAj/iE/fUue/ZORpKoZQtRMYYQLP/mxz2MvYQEy/HgC4qJ8XdkWN+eCFNRAHyYibIBgyuquDO5hOW23ZwAbC9Ym5hWgkuTQbyxMkTFVNvRHzrgOLPvtFkOPKhodFS4IlxaTIZYFbjjA0vJozr7wnLsOqLx4lmqqV5+6tHfPH+AQ8d8LFNj2Ea4AtXSalElh+oBHslY46DvOpOu+Azc3SUY/NUOj2eA7xg7ozRZTY3RQjc5mKV733hzV4JeicwsNE5yV+UK03ptuQxhqdhqplwybYua/GAe++eouYpSCXney747IWgA3+A0Jp2o8OocY6vPd7gkcM1vvpYHTkS7Jp3m6Pme60XFX/VDyUu9jEri1Dlphhj8FyeFIAQF+g6WYB6/L0LMLPkjsyX1BzkedmsLabfloepjFQuZxc6tnaHUi7A9P2IOEr54gMNnjvRAM9DSJWBKg8wy61AhBxn8QskWXHB8mXYFu7BpBeeH7ldGEWaq3clvOnlfZ48VidMfFLpMTQKP6X8LBWp4M75hSC3E58Fld9sBqMEKs9jSIFVLu4yxl0Xk6+u+cBTk4E+v7HM+HXNb7KqLB3jvo1W/A0An2eE85HYzXrKzs0JP/U9Xa7ctcqjR+rc9c0aq92YpW7MSjdGf/XrH6UeaI6eWeMjX57nwWfniOIGm9qSrS0nTZK09KHzHtMXWmaq9+e4D1q6JeMuSuXuz0+MLPf5mQT2mAeeA3oM4OXk1EKi6HxOuMmcFJMB2lSAnbF3FlxqFRP4Ec8cF3z5/gaDoQ9NDynyysFqTcwGWcyK7Kqel7wWJY/Ex2drT+5NWRZgRbFHqxXxpjtCPnPPiCePBKB9Rkbi51rcQJxWbTsQKU4LC+FqKqpNsYXMdCRWSBfp2DxfVYrkWgXoeUZZSJAmd1VEafkWXnh5zS9o+BEXz3RuhKj8e+mslGAY+sxPt/nxt3T5UdPhm69Y5VtHvshHP/UYWsbof/gfXOPqMGzSGdRpBYptLUMrMDT8cump1lRM3okgLviQlZr7cRar6LBJgOcnqHRRRGVLElFhjbL+xLko5fBInb3PmVsV88HzkcE5yE0xoLM8XLZSK5fU8byYxKZ87r469z5Th5oG6Rqa/TxNXgU1E0f1zQaP8amreaqaylYvogg0c6CHI49XXTfgLXcOePZ4jSTxsEIxFBovLT+PMCDT0ioc/xjjTF7+fqdvS+nkRlRYKzKWHge6NBmbmzJOEqZiGVaYvDQUxke/XeAwTeCnKmlEJXmYe+TDkWZFNAhjTSNo8rKrQl5+/RKINcCir9hcQ0nJcBTR6Y3QMsVTNmvbctV2+R4uBbuKcRbeSFOVH1CM/z0x/jMpqx54da+YksmrwB4rtFJUgG4rTD4hSQpwV3R3JbDMnRPnmLhnpWJ8L+aJY5JPfL0F+CA9hFB4Im+ysKUfPMbck86RqHB3bold2N2T14W77huDSQVGZaMfin3iNdZq3v3aIV95YMQjh90kgdgoBqnICr6y84PNRkrkAd+kA1AyeRXoxefLE30qm4NocwYXZVLLVnIWNns21URX6aiMkZsYxwk5gKv4qeAqxwUWhHFbu4exBDSpEYSRpqtrCJEiZBOE7wA+23CFM3UNfqElJ6ryqsFd5WJSAev4MjLJ3uO7d+VVdhc4J5m1VjD3mDQZj9irJbPldhylPlMVcOe7++as7anxZ53rb5Xr7wTPS4jThLsfqvP0oTp4HkhdaWxg7FxUl+eNNPgkf9rKi6IBoppZrFYXpq5H1ZWKasLI49q9I151m2PxYepYPBQ+IwM6zf1wgUhz/Wvd6CguBLkD8UR9TE4a2WeS0mSvBVa41SZn8aKkwk7c6GSkZUrAyomETzU2KbzyyunKz6W1tsi35EGnNRaTCuJYoJTO9oUyKBUglY/FoKeaLi0feAadNfXaiQ9aWHbZiRKybG4ta37FxVl77O7NNZko/jwHdLH9X87mk2n6yo5l+S4HuqK7S7BXQW5KWVIZip+PV9YqRekKwDOJ4uuYg2cFH/5iizD2oOFl8oSiNU2NZQ4rrDO+rm4sUS5wCSpNEJV09cZaXNMMJD/8pgGfu7fJgdPu5kuNYpAqV2WYZtnG/JynWWKO8nrlH2TM4s0CykI6Ze+VtVhTkYo2O3Lf25ZAngy2q/kNU0n4iAmMlKRoL/g7+apYJH6kzfYata7Ro1gJLb7voT3XJ6w+9P7/e/NUK/i/zp09dZWX7wCs8yygcMU2ShRbW0gpi2lK+ZctWXcD3SzyvyMn3JA8WJSZxSfHPe0JV6RoZsgliGYikCQDbiWwLHxvU8iV8VqTyu4PWSNDfqQy4kOfbfCRL09DEICqoZSmoSx15fa6ySsTvbzJOWuNKzOpF2ZYy7LeirwqYonSdsyr94QkazrIS1Tda2ENO7dEnF6WPPq0TyIUCIUVCtegXQZ3RaxzgQc9cedNOAdFgvECGWMnJM3E3PdqyYZhPNawVVlWTc1XSzxEltUs51oWu1tXgvE0q1GJi7oUwWAo6fZh264bt1x6xR1f1YtnT06T9t483TTENZ9R5PY+dxtzVuykYukQF2Hm8XM0uX9lzvay+t9PaPpytag2O4yXoaoLdlHL9XclZT6mv3Nw59uZ2IKtcyswlyU6c048HfH8GcnHvtYAqUE69i4696txQPUzwgSgGGN2t9aOs3dZcFVN9uQlrCJrRJDlXJBUkapMi6ea73/dgE/f3WDfKR+ysWqh8dDCldEW5zbNoJhWHJRcopRcXhTVWQsqky/K5s9gRUVKiTzYdL8ntwptbhZkf6d6LuQkc2/A4pMaPVcEpnoPisp5zKofo8RtwdjrD5nZtP7mxJyY1lONPiIesnXe0B0KugPFKHQ7XOU7DufNC1XgToJ57ENOBJJl0HWh/h4L0Kr135X0tygKiqp14BVwTwC7ugFVKVOc5laZNagqEsUBuwR5qhI+e1+TfQdL7S2FdN531kEz2dU+mcGssuYkV9qx1xMNyJOeeKWD3KSSVOYpfCdVrr4s5K139jn8sYAolSC0y3AiUFR8cQQSSyxKdLgbr6wRsplOcR2W7jPlckVlz1KUr92OaBYr3Nbs0goHeuH+2cmgW1AB/AYgv8A5uQj4i3NXxCsQJzAKDb1hwtJKxNz5EbEZoLfO92gHPQbrA06d94hiV1wO0rF4MfVzIlyqgJcLPoR7IyvMDdUCK3FBM8NYwCarbG7HgsvxbQLLvTDHAC4ryR1Zau889V5scVKZK66Um1TreTFHzir+66fajKSXMfh4cDk+92R8Q6zxq3TxR0EcxbJuK6/Hu8yr8wvTbLpTajRJ6hGkCX//HX3+9O4Gh89oUDHWaCLpMTSu1VDmbgYZ8ioU6HT3uLujKv68chFlVozlwGytLZjbSpfWFzZjbpGl8q3FFK7YONFNAnfs/MELMvrkOTRZM3ycWKLY0OunnFpOaa9ZYl+iP/uwYn3N0j8/YvemNtbKIoEC41u+TQK5yugbLSli4iYYC0Aml6xJOSJA5JnCjcAtGQN2zuRaVVwTeaHXrdSEazLmfUd0I8PvfabN6fMBKJ1Zg7IYMDRZVDUmTSbYacwDvhjQ86MAtZ1wUfIUfjm9t2iGkIo00WxfCPmJt/X45Q/7dGIXEFgjCVHONkxFAfJqsIko5Uqhq8l9cIuivAFVfgNmHVvGZtckC+ykyICeyRabXWdb3FOC6jaT1VV9Q8ky8fMq8As85gyeZjgVbreM267v8ao7u8zONdBRv053rcXBI01s6ppISxfFMe1YjclExJsvwhf64pPJnAuPDcFdMHi1xsNuAPBMJmQTrKoAr4JbZe+VLlk7Z/OctVVWMegFMR/9XMDv/kmb0HhOnghVyJO8qbhaezKZgS2X5DEauCiLF2xeYfUyUMsnOlmMMRem8I3bCrymE37ynX2eP+7zgc96ICNAkQrJyGRuSppfk7x0NV+Tq5o8/xCivPmkA3r+eWTG6iLbqt3KEtAmkyVWljLFFOfHrQLl+bEXKIEL47gNAD7J4Nm5EwK0kuza4nPJ1lkWGtM0vSZ61yZNXWg653yi2LknJTu7X2wn//EJkE+ydPXDbcxsF5Ej2RJXsri9CHuX3SVVYMtsUE0BbpkHlAYt00J3q2qQqRKUdLMGV9fgT7/WYC3Mwe0A7kmXI9C5VJpI7lQr6bJKhnF3sKobK0CeBLmpyJW8AMuaspS2CDYzLa6Mwhinuaf8lHe8fsCn72uw0lMgYzCKGE0oxHidSuX6lgiylc/odLgqJJSrOacShMq8TsVmMkXYQqbkQBdFXOWkTTVtX+IhX+1t5XOJsc8nJk9jqaYKZ0UIss1y4exyjebZgKmhj3bBgsD3nU1nizriMhCxTN5JF4I5/+MLIuCLAL0aTFa1rMqkSQ6cIpirNL2qyaOivfMNYN3rNNsRoUzFq8pRBpYxXiPhc9+o8dDTdUxFeyspK4VVdkKeVJbcKmAqh5g4d+OPig6uJHyKmTIXqzK0ElXxxZPUQ5uEl10X8d0vHfAHn/dBRSAkVghGRrvkXXYDQtnxc8FnoRQtRfBZ+neFRCkC0UyTjzkoFYmS3wjVFH3RVpe9zp25C4LKCzT5OO7Gz6T7YZqNN7HWtdXpfBilr53uNpXSwLFKP8Z/+YYfpALmMYBXfi4zmqsCZJwN7bhEyRhAyQ0AriaBPg5u97rU3sUWg7k8ke4IvJjDJyQf/lyLxZ7v9ruWbtC7EriuGeGyg2O1JxccYgzwk+w9+RhL9DApUarjHTKZkvXG5kyuslJaJd32J5ubKT/y3X3uezrg8DkJIgYUBslISBTVTKtFTDD3BUyesXO+qFvp2iVUxUq0mSQR1l1Xm/37Y0DPNDrFNS/Js6hXz2Se+xilfBqXKZnzYyet6lJSGWOJY0sUuWedZhM+A8+lYNPEnemieCb7nfmJmQT6C/uXGwBc5l+mCmxbkSoViVIEmbYC7uz9XwTcqqq3K+CWKVomKOWGaIap4Xc+3ubex+qut01qp72lzLp2Ko29lR7ECwLMCSavMs0Y6BlfXsf8cErwjJXPjg2jNBWQK9LUkEiNSjSvujnive/u8vO/4xMm0mWgjCQRHkNRTZvnwHoBkEvK15UxIDbLkCrrNLq1WQWhtVmyz04APesCy2+GCWzkeLHVc1f5OJNsXvx3+e/NVyTcUKowds6IlAK9fSFmOojor4WcOCdJkqwMdYJ1C4BP/KLqkjF+V01+kcrsk+qztGOBpRQTk1Mr4M4BPh5kljsbbwTuwg4sLMJKcCkTPD/h6494fPreBmHkQV077S1Vwd7FNnrVQHiMxauBtijPD2WwvRF9V9MtLns3UTZrcp2b/SwVTnunEiNzsOdBp+vArzcS3vGqIXfdO+QrjyhQsdMKRhILTUjpqLhx+eNFVxszuQOyzLx1m/nfSFEA3giQuCA0T/TkQC+kixCZXh5n7+oNN46lyRKQcfJwtVfjc3KEsBw7G3FyKSGRKboXdVnsdrjv+S79dcXuBbcBk8rKVjeadb0Rc08CfRLUF2Sz8nl2VVYUVWlSdU7GpYm7CUzFHsynoF4IbqVSZMbeObh1Bm7fi1nvWz53X50DZ2tOmghXEiuKxA7lBKlqjfVGN6sYr31+QX1SAQ8Vr7laG543RBQTVxmvFc9ZXAqFTA1SauJQc+WWmO9+RZ+H9vl0oryIP9PjuFS+gnFw2wtBnjdj5JZxPu3b2pLd3ccvmdQKUcgSm5Vs2AkpSgZuWYC7or8rOCpWmY2wlfclyBLkgS+4cktEe3qd2kyXoFFHf+HBOqfPNnjy2YBrdhoSIwnIAjxFRQdvEARMfqD8lzNefFQUwFdAX0iSooKxlCklg5sxkG+swTPmlqYMNIsxv6aQJdUeSyVdp7wh5fc/X+d3P9XGCu1878w5cezt5MlYyUAmTwqQy8mLlrF2lQwvwt7VVr9Sg4sxoOf1GnlDsi2sQpMN7FQYaQq5EqceUhl+8u0DDp3x+N1Pa+IkqzEwEoMgFJJ869hCiwuLMBMgt4JshELxOXMQU/3MMgM2VFg7+zuilLs2l74iS/lnOt0lBm3RDFFq7PJ3TyoGmQW8ACIrTtPKklqPO67yuOTSlHozQm9qgpiC9XlBu+Fm9yldjlyYBHj+VSeX3bG7b0OZUrmLJwBdjh+oPFc1uMoHTJbALvanl2U6Xsqq7i61t65mK7PA0vNjDi1KPn13k37fg7rK2FuX7D02DmJ8vNxYSWjlu1Z/8O2SPDmDb3xUspiyWqOS7a2ZV/MZgTQSKZ0Wl8LNNGw1U97+6gFf/GadQ2ezNRzH5okRjMgK6AxFkFcEdmMaXBRMXQSbGfDy5uQC5FU2l25yrsiCc6donJuS6/MiKLeZPi/kSPZ57Pi5GtPlolIyIAyJlESxYL2nOGHbBFNt2nELvWtLg5rss3zWY6qpqddUsU+N1qWLcbGLVfXILwg+M8YuArELvO4S9OPBW5WxuVCiZGxd7lE/Ce4M0Bl7y8rPpExROiaMDXc92ORrj9chUFlgqZ1zIkv2zv3j3EWploLK6kXiIhfjv+NhJw7GnJRK6j4fUmlEqcWNJBUKadwRh4rX3xjx+pcNOfkFj9BIENkUHwSJ0AxNJU6ocHTVXcnjA01luckli8jqViRl1aB0zosxpVOWM3opVUqLsNDfmTbPsL1BRD5+cgVgsula5VQH992GI5/ptRaJmEJfvnfXuhLxF89tbv0vShoCL9/LprLP4wYXImefyc/iPrAdZ3AxIU/GpsbarLCqKlWyYffKUtai2KJsNAd5ntSRE1ZgDvYS6EkWWGbzBf2Eex/x+ZUPTpFaDdrLKgY1Qk4UVRXWoC0uWJHMmdDhk9+5OB8vwN75c1EKUbC3nUj8ZDJFZsAWbrsPm0sVIzHCeePSaJLE7S/0sz/a5cApzT0PS4xfsrg1ghjFiKw5wgKmZG9bAXl+lZW1ZENqXbApMm7PmFyJXLbYjMVFJcgsKxurQB9L8lRWkY3P1USZWkY6iREkiSVJLGEkqAUeRrS/OD23Y13desPO/qi/crhR472+TqgHbuNT38/nZOeyYLz4qaqjx4A8Vig1noXcuJ5kgqHzAio1LklKWzB3S0rtrQqnpKw1GSusylvRVIxWMafWBL/y4Snue7zpNuWRfgFwLd387aBSGntB7fbYkbVvKbKa9so4C1mpeVeTfaUTzRvCuVdV+TZmmebntnoNpB0jD5nXj+fjjK1lfi4h0JaHnvJZH1YuWOajGCYGFFXjh7HXGwOv+ncn/9hW/8bY/SIySULG2JVJxJaJmCTfMcQWQznLXUcsaTZaMEnd8NEwSkF4nD6z9COPP/HsAb0wnSCkII4TwjDNAgKbWTDZBzWTPYO2EhBNfOFqkJm/zy1AMvdkA6lSDlXPg8zxwFLKnK1zcJuC1bUcT+SUx7juViohDVI+/Jkp/uwbTWyt1N1V9i7GsYlyma02GE/KkyLLVtHgY9f6BR2VfKhptbqwZPLxjvtKO5us7GdjJ2pUhESmilRo5DDlHa8Z8twRj199vyYai4pdv+fIiLHAuCpXcjcFHPlbU8qVysS1sikic1GsBGmAIpgUWaIow0elIdkFnxSJoQmiLjO7xpYrm7GVQL2cpmWNJUoSPM/hVAd+iquWS/FVglLlpShnNLshnPnWJfnuVjYTTJOVhhv53+Oau2SaiwJ8QqbkOwtUwZ0zdr6nY7G3YyFNylpvnXnfX3kk4INfaDJKsyn4skzsqEyaFNpbjnvfY4HyRkeJ74vgehzktnItc0kwKVtsBdDFgHhZSQDJDNzCOsswlRihSIVBGIM0msAz/Ojf6vPAkz5feVxmLkhuH0KKZkQOcluB+nhpbf4yQaCwJcClI0FslsiTIp8KNwZqN/czSyDabAXKC7AqOadc1o3X6WSsnWY7/mWbormehYqVaK0LcIXbmkVL6T6Z76X4tagothprCUoUMnYDyEnKC2JNJftkK8xVsJzdUH9XtbYogGQZd1HGg8ryuSpRqtvblayt841LVYKUKVImKB0zCOEX3zfFkdMBNge3cOAWQmR7cJbuTXUTrAv09gbALvLVOSY2jJbE+Nvq0jyZ1ax44dUdyMbrxB24C6DnQadUbldjo5GR4dJtMf/yxzo88M8DeqPsg5vSTE6MYgRF8ueiIM/BTObVmcofZ39myTR4YRWWJRoO6FkJiMnPWb5STCiZ4jzYDNiuziQuttZxM2ByZQEOV57viDE1Fr1rR91d5HQNkXYQKDePI9uUNIwVYWgRQkGUj1B2c8GL/Grlgl5oCVYr72zhcxdp+aLWpLp7QBX02RZ2uect8mDTFHs4aplmfyffuNQFljp/1jFJCr/5yRaP7685z1tU5ElecyJsltiZCCpFlcU3YOzifXXjqWzpnOTtSUegeiFztso1adbpYyoTsMY3/BpP/NjMDxdCIrIEkEmNkyrGcNNVMf/g+zr8x49PE6U54kTWe+Z2sR7mfWHmQkclh5+q+HU2swOLALP6nLksUuaSoGJCiDIALYbl5wCalCjZ+UmN2wwtSixhDKPYbW8eGbe1TmIFSWppzkwx3Wph4xR92bVvRuopBmsP0D/3IPWgSZJ4xIlHGGsGw4C+cNm0JJFUW/tthaDKKLiayClBMl5MNcHeovxZFexVt2SSxWV1g1JVYe7KIXOJUkv56oM1PvDJFp2hB77CpeNL9nbau1r/MjHU54Ks7Hj992Q27sIAbZwIL5jEm78uspoU3rfMOtptRaa4KbBZEZYsO36EsFjpdghOhUQIhTAWmaS0a4Yff+eAR58NuOtbChqJAzd50CmIpXT6OOupLJovq+5KxaC2eTJIVr7M2MYSlaU9kyuGPMQV7rXJk4GVmyo/TxPnJzWWOIFBJOiGgs5IMkhglFoSk1AzPV77ytfxulfexOp6D/3M8Taz0y3u+uY099zb5J2vGrF3+5BtcwIpfRpBHSnbhJHOPq8oGKR6zS4G7mrmckxrb7ANxhiwRR5QVjYflSVzl0metOJxZ+yd63CVIHXC/mOa//qJFoeWvWzIYs7gCoR0W4RnwK7ulFZ8ByaKw6gweHXlys9DaVSMrW6TJF61W8enql4oU4o9kCpFWFZkoC9sQ/fepe8lUpZ1KqnQyNiydzbh77+rx7FFzcHTAqsz5GUf3FqPyEx0klY7GpwOwBavAVMGojb/5wwFqPMC8VyXywLotsioVu+JPNrMpW9ey5IPMYpTWB1KzvcBGSJtyJ5NQy7bMeAtt3R42xtGTC9oki0C3e9b6oFleUXxkc8t8JGvKF52TZ+b945o1lPedueA7bMgZcNt/BM7bV71wO1YULkBc8tx3Z2De1yWjDsmZYB5cXDLDfR3eST4QcxiR/CL75vi019vON2txgNLmTG3L8Z3SRvrlr9YUCnHgV15uvBhL/7zqjwZK8LaILMpK2MZqplOmXX/pMZZhKmQiFQhsmArFQqRGjxpeMdrhnRGgp/5j4pz6xKC2P3SjM2t1AXIZXXZkeMgz19bScHyY85KrtczkOdD8XM0T4I8x1H1PMrs5ArlCDTfTn5oIq7bvc5bX7nGdC3lhr0Jt11jiKIEf86iGwabGrRQglpNL6Lll3deuvWNy2t9njnS4skDFlTCXY8Oec8rR+yY04RxuTHymP9aubhVkJcBZOnTljKEi4DbXPC6CCQnA0s1LknyZI7MdHeE4bP3N/nqw/VKrUleUOVswbxbp9iOsDIpdiNgO/YWFzI2FalSwe94NarYQJOMvy4DTkHeTVMweeGm2IpdWyZ+jHA+e2EbSpuxt9s/0whLmliUNrzhtpC3vnzAR76oiBJcVVkedAJGaiIrnL1nqvv+VL5QBnJVXcYLxq7QcvYs8lafHOQZieQgz1etag1TVRL6WlALoFEXvOKWdd712h5X7JAoqRlFTRaXoVZr4CO+rLRetBbUB3/3N9l06R3rdU+t10h+oHPuHJtaipmmYLahsHHAuaUGJvWRSmMnLtL44MwyKBvfEe0i4C7KXS8EdLVoqsrcsipNZDr2nLsnWiWkMuXP763zb393iqNnA7dXd667VTYKopLUycti89kn+aSs6vyVclxcdUbi+Oty6m11uNHkhFyyURjZOSvei+J9kdQpVpILkztjGdSiAGyyy39y6pYLCufaKVdfFnPyvOLgCY2xE8uRcJo8HUsElUF0ienxpav6s0osyvhfrZQQFxJwvKunutlBvg174CvaDc3lOzV3Xq+YbtRY7zVY69XpDur0BxL86zBi8/9nfeXwg9Nb3+z26GmqiEDBTC1m27RBe24mipJQ82G6KUmMpT/MujE890mkqA4GKtPz1a6RKrBL4FfAXjC4Gb8RqvujXwzcE+9zS9DzE04tSz7wqSYHDgfQLFm7GlhqspS8rMiSMYm1gWtS0eRj35cNalIuqlfGCXw8wWM31uRUN46qBKHG3UiloyLdyIbsz4SUWXLEOSupUAhhiEPDVZcm/Ojbezz8tM+xJVFh4dxZERijCHFBZxEwFrJkQq7kNSmFtpiwEXHX32TpfUkZaxhbbrIwZsxlpKC1IPAk9ZpCKVhcqRFGilqQFJtmhZFHJHxi6TqdINuE6o6XXkO9XqfhW1bPHWcQWqLEsVHgC2qBGyVhDG6DWOW2fDYyG6lRuaAli9giZTymuUVFlkyAezyYtGOyZBzc+fsc1KbQ3VolrPYE//kjbe5+vJ41MFQCy4otGFQKqsqiKsY6dcarHscDy/z7lkzkfPBvg+txkFfOX17YZCdBXslkysJBcRJFVGxCKW0hV4Rw/rgwlhSLcHOqnCYXxsmWgeU1N4X8ox/s8u/eP83aMPtCVpTuioTUKsJirFQJP1EFeRERUtlcuQLy3GUx5c0h8mYOwdhzVYjnq14x+k46k2MYSpTSbna9tESxpNOrMbv9Uua3XE8UDt1HANi1Yys33XD1XVtnln5l966AxLja/8AX1Dy3RMhMno0lJfKd1ZhguMoSWkiXMXaeBLcZA7f8tuDOnqvFVFkqPpSW3/lUk/d9skUv1q6oXVS0t5DI3BYUlW4dUZFTE99hXIePj8OofveqAJ8wTr7NQ4yz+BjYy6NgdENRTTjmtFRa28ZS+LZ6uKFBxijSRNHU8N539vjJ7+1St0mWKkzAJmBi99oYEgOhhdAIIgOxgTibYZ5kWcXUlK/z3ZNNFhTm24Xnm8/mu2OPbyBsL4jFx3HlzmhqIIoFo1AyihRxogDD+a7knsfO/8rmbVfe1ZreUgH4ru3861/+l4OHD5w+evCspTNwF9lTrhXf0+4OGluCc1tw7EJXdKC0Wd1J3o1ebvlc1dwbv98A3GNZy7RSd5KiRIKUMXgpzx32+aO7mnTjrN5XlLKkyt55QkcX4N6gobh6gpkEOmP1G1U2F2Ic6BeDut3oucLcVYlSJndKYhnf290NB6oCO02VA3uxoZXCpOVkLGM1SaxpKcvf/q4BV+8NkWmSgToDuc1flyCPrSDOJko5QFeBLSpp9AmQX1BTk20BXxnQWc3oVm9499bVoqRZBjNO3M7HxsBUM+bay0fMTh0/+oEP/dxgdm4bUNmr/nWvejeNeg2T3sO95x9CyAAlq1NSy8DngtJQqoxtK0mSCdaWGweULwRu54c71pbCoEQJbCmdY6JkivYNTx32+Ae/Ms3TBwOsl/vc1YylyDKWGbCrzokoA7kLxkJM6OwxdqmcgwLkYzbKCxB3BdkVTLsfZRJEVi9wztRYJ1WyBJwstDjZuDQHclHYiBKRzddOrUQYm0kYhcCQRobrL4v5rZ9d473/Xrh56H5VpuRLtya1kpFxF1zYShfQmA7PfPFMrgiYsBizn1eehS0PWQU5ZK6RLVaBxECSCOJsYzFjoTeAPZffyKuvupMkGgG/XDI4wPz8DJs3z2J1wCjKZm1rke33Lt3W2HlpaGUZFxVmLl2U/GcV0IsLA8iLMrcwxX+jlKkElC6B48BeyhPtJfQs/PanmzzxXECqVBlQFuxd1pv40o4ldCZ97xeq8a6+L5fQDexB8tkyLyxUqhfSYV2MST8XgE3q8Ymdik0lZW/lWDe+tXKs0rA83EwVYzXGaEQquenqiP/17X1aMnFbCdu4ZHCTgk2xxpBYGBknV2KLq8d+ASZPK/KkZO5SruT17mXFIGXLXkXWWGOzPaOynY5TB/TUSAIvZroNjeYMjdZUcT4LBlfKw/Nqh5r11uG5mfZeKaJMnrg2tnwe99ie7Ll1pnIgm4t426XdJsfckqpEyWRIwdh2zC2RMi1S8lXd7fkpgxQ+8OkWn/hqk1COF1Hl4M7Z28uOb8fe1b7SaoPDpCYv5EmV1b8dc2/A5LZC3+NSRRSvDSW7mWyHhdInF5h8jLHIrD1bMrnI0vjSSFJBxuLOIwcLqcUXMe963YB9xxUf+FSbfow7WVJUAkcHtkRmTF4UXW3A5Lb6msrfqTI7iOzfTvPzlwNbuA1obV77ndV/p4klFi7gjBR4kUXPTFGrtw57gX9Iiqg4tcWgtt/6L7/OK17xmsOb5+qbRoP1Vw8HHVp1n8CXBJ7Ez8ZiFUPfK1vzldOl8mH1k72TtqKh7VhtSVlLMpGuH3NLTMHkZSGV24W4n1je/9km//5905xb9SdKYMtOHSmhliV1PJn3W2aD80W5mVW1CWH8ZhblTS2qPm32WoDM4pRiwL8oNwcY3zRgPEtabWao5hSKDbkuqGa0F6wocsL/lnlfY/F3ql0ztrgpxySWhem24ZZrI7oDybOHNVEyEYQUd7EsrMvSIs0ijg188vI/F+OrYMWNmhy/UdbcT9T9VD88AmNSmu0dNKev+M2zZ0793rZdt17I4AC1mketVvv8VMt7WzhTv1ErUYDb86hsqlqCQ42x8/gwnrxwSo0Bd4MMpajahGYDcFf6KfNCKpUgayl/9oUmv/S+KRbXsiIqWXFNCs+7ZG7H3rn+ntTcFY/7gm4lWwSVY6CYyGJcIMEn5MxYrcmERTjG4NX3dvwo2ZuxUlqnYZ0+N0Ig8mdkISVdlaFL3+c2IiKzELFEEWydifk/frzDSlfy0c+3oFZh4AobW6mIEUW7W87kImNy8UJpfVF65CXOLakQWTNE9jq/cQ3IFJKc7rO5Ea423Kc30E94Xv3zbvR3+VDVNx/9ANRCYwAAMOhJREFUyId56c1XnQg8brMmuVkK63Zay8DtF/u9U9ngybhh83lb2QSrj8mPypiHam33xcGdToA7KVLyOjAcOu3xyx+c4vF9NZepLHZjyAZnStc1rUXG3tLiVTKWSlRvzvK9VHZMgm3E4EKK8Z8XjA3jW7eMM3i5uW1F7mT/fcHgF9xcG/3ZxIyWnKWrN2NeRlGVXBUizr3rC6SWtUxNpdRrlgee9Fhdy07OuIVWUK/J3svKz0WFyasEUNz0lbhFTP68JOcilhEVfzz/+5a88UERJvpz+/Yf/c13vvuHxgA+xuAAW7ZsRwjJcBgShV18T2RgzvahGZMmpgSyqgJ6MqA0GWjy4NGx9niCZwNwZ86JLMpfc8ck5fAZzb/+r9N8/dE61CaYOxve4zxviiZiLUpgF7YgE1KhmsUk+3PGAYcQpS6vXIyxxM9f5jHG2JVdkCuWocmcBldB6FwW97Nca2fNuJU6FQcYiTSuRjs1sgC2K6etypgsMTSC190c8gt/f51/9V9nOHIWl8EuCqvK11YqIlP5s400OZnkstbtRZvp91SWFlJq8pNQdausE+djvWwmc1VccqvZaLJ7186ywvGFAH7nK16DUioKwy5nT3fwPVvZe7IiUXTJ3HqjpuAKcN1ck6xZocLmFwW3KMtfqyl4JVO0l3DsvOLf/PYUn7irQSSrfnfFGsTpYb8AuLMGLwgo/3/tfXucXVV973ettR/nMe9MMpNkksxkkkxekPCSBDCAQVEUb1p56K31tt5aK+rV9l6s1tpLa62ivfVZrba+qq1yAUuhahEoiCAQ5BWjQAghmbwfk3nPnHP2XmvdP9Zae6+1z57JJAQC9K7P58zZ5znn7PPdv/39fX8vk9thQJyRQRPg5gDaMVDWlq2DzxTYdkahKxm6QK8PBFlBEpNCq2mMcSzTA0Ldp8BNEypg6ElCVYiqmAk9iSsvmQSXBB/722b0HyFpJyQ7WikwI5ATgvQ++2xQF97R5lq6O8h0tBUCYALgnIMSoG3WbFx00cU1HvNjA7ytrQ2lcvlDS5csWBFX9l1YrUyqZCFmAz3tIuWAm4kM0HOKFYipxMkHNyVWXrdDTZRT2X+E4cNfasYP7iorcDNL67YqdAghOlMQycBWRuEEc/Ka7udKg5aT455Ws1N8U6TPFN8JkGXOnRl5EMnEMQPalM663WihtXBd86gtfKJrE62FQ/NzHcKHkOCqIQQAD1EM+Ihw9Wsn4THgI19sRv8RV8u2t6cCubQtebKzMjkeU4DcVAjByqoUTO2DmpQol0qY3dH1087OuR8aHx+v2780e0e5oQFPPHL3aCEsbgs8xn0m4fumhYRwRvKZUdmm+Y6XA+46zj2N5U60bRY7IGc0BvNiHBhi+OiXmxS4WTb91S5koKBUnVGTImLqUhC314mmI9SlI4a+uI5iZsqzutPJY87bngrcUwG+3prb4XySc0kr7p1GQXqAVfo8PdDKCt9z01hf6+OJRq4benoxcMXGSXz8mhF0tkaqBbHMRjqVVi4lUBNARapQvqOT6+tY6PIyHenk+jFuR0e1NBhzFbmMhTqrxDEQRaqqJ+YA8zxeLBa3/fDHd442NDQc24KbVa2MXVMuF8/h8ejatO8fEuvrWRKgx9zgjeHc9RxbRSbTRKo8cBtqEidqCWMc3AP+4bYybvpJGTXGUjpC83l3SHR3KmpHLevBnSe92c6fnfvthO0tq20D2t2YielOb0sH3fqN7GacBvR2RqEwcjPRltwETpSKQgBIoopUkBSJUee7JHw8uc1gUmuJVJq5F3Nc+boJbNvp4fpvMsREPQ06qmnnfk9nyaVTDaSsun0QM+uoltK0Z9PZkRR6mpuy4IwRFAqlX46Ojl3T1NSQu5tp3p1rz34NKIn43Pnd0vMofE/C9wV8X6i5754ZqqqsutsP0C1M8LKVOGwatSQLbp0dCB+444EibrijhCqzrLWTY2KoicrnVpY7rY7PDo9y26/lJFYBU9AVC9g2LbHUA2PpZ7qcsLSx1o4Fd5OqzIgRu+Os0zvFstjCsuZ2Zb6wLolVtxOzBFONPXXeCucMAQeufu0ENq6fAIm5SswySVlTWPJJmUY8oxxLbiw312+XPKatdqSjlqqKXllucyGEYUlvj5yYrPE3Xfba3H07pQXvXb4eca1yw9HD25fFlYNlxnRilUmesoMz2dtZy50pO0uv7bwSUQ9uLwb1Jf7t/iI+9MVmPLmzoLVutzLH0BLoLMFQB3OScDzNUBMqc9QTSwNPrvO5d8K/LYNtLDpg0UvXLNYZcAPu6RyuuhC9ziuVug+3fRAkCouEw7+TaKbm4sYBFcm/lYCkWs9OP4nVblNdcWB1T4S/+cAwrqXAj+4vGbpeV71jLHmkzzCKT2teTbVDrEvcZMK1zWxO3dQTugGVPnCZgK5OUnRy3ty28Qtffe4NpVJhSuNBp3qgbdY8OTny2BeWLesaaG8eQxhwa8a7GpFthqs604RN+7RMFmBdx6kMuJmlc9vgvvW+Ij78pWY8uTN0wU1t51LlCnialhhwezk5J2mzITvfpD4y6NwGklK1rPW2YZ6A/BjGW051vwNmQ0lIxrq7I7CTKnuLwjjDqxLHk+r8EHdqRPoYTZ6TWnLmpNcKwRDXGFYsinH9+4bxpgsmVIFAnSWPLEsu09wVaVJtTTYiSfi5Sb+NEr4NRFw9nlpx9Vg1Ag4OCSzoWTpw98+3fmHhgvlT7dKpLTgALOhejOrkMI7sDcEnTc9AK1HKWG3iKiVpYpWdFSh1opSJXOoeJsSNUlI9s5J4ErfeX8Sf/G0zfvVcqOfmZChJYr0VuENqd6aSaSCHWEGcDB2xCxpcDk4cOlIXlLCNblb/dgBOZkbJs1FMpNa9jncn21Yfcd1MJwW54c8kKXA3fQiFpCBSAILCFGmkHztPzZBQvFw9xmvA6p4Yf/XeEUgAP7y/pJ6acHIrcUZ4kIQh1lX1gpipEHAsONMtloUuaBBU6hmcANPSpxlpSAjQ0tqIvr5etLU2TrtfpwU4CdqrI4OVPzg8serGaPKpcnMjV5w7Uxic1loK3ejHathDMkA3DqXJLSEuuBmNAU/iRw8W8ZEvNePXz9mW27pOLirDMbDyTExAJ1c1oTm8G6lqMlXmoONUkjQQ4erjSl8GMB07caBjA9mBlHS33Yp7aXFx+wBQ5WBGNhQSafKSRpXSwYUVMaSAULe5lhChqY5+Ueag1reqwOruCNe/bwRCAD9+oJSe6oT1fah6DykYYkIT2U/oCjFBAA96HDiBKrejSJxKKiU4Uc6mJ1WZZDGU2LBu0XhTmf1BZ8fs6gkD/MhhT4SF1Q+fvrZh5KlHtpVDv4rAtzg1SQGelKYR67bDt+3cbjdxygY4mMS/P1jAtZ9vxpPPhVbv7qzlNtU5SHi3KmCwrXcONXEseEY5oa71doGeN6g0C18HAg5opwK6DW4byCCpdTYxD6UHmzIvqy4TANH50oRaXFwYMEkNWpICXSONCKWN2vw7/bz5Z35ijr4asLI7wmc+MAIJgjseLKoopaHutk6uF4fKQhTGWhMJAQJOTCBOd5AlABMSplibCQlO1f4pFnxccvGrR5Yv6354ZGRMYJo1LcDb22cBxD8iJieuWNa37J6xgft8iQCw8ruztZfEAb0GNxEg1EiErkNpg1wyibsfKeCPPteCp/vDTGP6TAqszulIKuK1emIHdFJqUt9+jSKnJRvqrXeesuKAIEtPTnDJaW6bQJBtzZNoZTIdIeXrMrHYuu+3cTaNA0kUzyYQ2tjqfBKqrbdwD8jke5ucXSDpf4IqsGJhhM9+cBjv+2vgnl8UVQpuYs31oUmgrTmDBEMNWusmBL5U/hLXKc2MGBFATaAw2Z2EA0fGOM47b000MBJd0dDQeMTzp3YwM8dW/SI0QDz5NFpmLdo7e+6SHQ2NATxWg+9xBL6ac+Mnvbf1xbNaOSSWOe38audzU1NuxjjgA3c+XMD7/7oF23aFKvElTy3JRCp900+QwpEFs+P+6qRA6tITh3sjBTSsx7MppikvJy6VqbPX0x8BMvPcLJCRANeVC2EBPaEoAo4Dmsz2sSXCZAwK1U1WjVNpD7dypytzLRmqwBCD4F5a+lZjWLYgwpf+1zA2vmoSzK7rTORDU9+p7pO6z2DFXDhBlQNVvV0RBBVOMMkJKhyoxgQTNYmwsRGrT1++Y9nSxXs3b+1HsRCcOMDVj8vw660P7dp7KHzXGF+PKJYIfDU8NfQjBXAvTtoT2+qIx3IUEmbySmIwGsELFbjveriAD/5NC7b1h5C5UqAbhg+ooiVm1IjJM3HSYO1OVRb3dqal1WXu5ejeGqDZA8CAP2vuZmzQLWTbKkg2bTabLmtYcRbodgesJHIJayShNefHHmhljwp3x4brmk5dFZQFOU9AzhTIuyJ87g+HcPHZE6CcAzVbG8/Ry6VKmqpKFfmcFArQ6hoY48BoTDASUUxwAsgYb7ukD50N0bvuv/++XYyxY+5i75hPKC5FZXISfqGw/+he8rPxA5tf3VTYD8qAKNY7QdrZaSosQakAIRnuTYSuo9S9u0OO/gGKB54o4rqvNWLbrqnAbSKXdo6JdORAZoPbNOshaYAntdJu45zkggz3Rv111hhPCeTjAbn9Zrl820pMyqopxFVWDBdPKQqUUkKF6iWpm85b/qM+BaTeIbGoiuI0VkMgJcWoj0tN9p/1BSKgb1GMz//RMK77msRDTxTQPxAAgXYKTPVQUnwpAKkoJyeKrpimxUR/H6krl0eEwLJ5zVizevnPLnvtefsnJyZRKpeOuVuPacEBoFAsIhr9j+3tc8IvjJAV+Oe7I+w6XEGhUIHnxXDbOViDVp3uU3pOjqYlXhhj216Gv/hyM/7HZ5rxdP904HZpibHcPrG07rpQfP6ljldnL4DLxTPVJCngSWLdEyc0xaFDZ6Za0t6QNrDd29m8FGQseqKLIy9PBWnEEnDrN526TZLSFVsL15abW7WdnLPEsCU0xVjyKsPyhTG+eO0QPvbeYSydX1W8Q2YsudA5LQl94Spsr2kWl4AUHIgm0dd5CFdt2I0rL1uMKmn+wjf+ZfP2mYAbmIEFNyts7AbQ9PDh6sQttzxS2dR/5CH88dXjYFRVhxAqQZA6l8k1ESBWhiAlMbyCwPZ9Pv7iq024+Y4SKpJpndvOCmTHBrcTipeW1i3rsgaZPrukmYPZS6Zax5IG6yytde3q3+6sm/wXakxrS2UHccyGJJnb2lobFKsIpolmGhBLVV1PZGIkVWcrJKAhxqQ5WYA6P4US1ZuQCt2j0GoeKIWWF+3X6W+VOJIsSe9FBHS0crz9DRMIfYk//3Iznt0XAKF19KZhK/X/iM5ilFbtHgcavRquumAM77lyGYZo7y2HqkseDunRmcJ25gAnpBcPbT24a9Xqiz+wcsEu1hzuv/zo8D40ldWHNB2mDB0hujKeEKN1awsfSDy7z8d1f9eEm+8qoUKY7tedBXd96mvB1FOSNIEqmSNPTHTSbcVmJ1Nlrfi0ltxyIh2VBXCoSz3Ic7A93dKANWdvl46o24kGTizLTSzLTgwXlxbvVkqRkACEqjoyIDf4NdtEZFCfgBwwsXcyxWevw4l5qEIQ+hxXbJwEJHDd3zVjxz5fj9CwAJ4A2lAXqmBJGBijaCgUQUgvRqsrbltxxkUfWBHv7Sf+ohnv3hlRFLPOXd2Bod2b+9/7X9dsveichRgbL6FSVV6sCfS4tZORpiaaooQCOw95+N9facJNd5RRga5/q6vE8XIsN+rAzTLgzs6TJ5ZFty23KxeacrOMwwmbhrigt0m2rbTU/fDHA/Qpnps4lLBUFKfQwQryGO27zumE5WQaFcXQANWdyqYsip4QJ3zP81pPGGdTh/ENTVH0hSGOGAoSuOqSSVz3nmEsmlMDqlzTEcvpTC4RIDmULwA0BQRFSnB0bBHG8KqtDzz46HGBGzgOC25Wb08nvGLX9Szetnhi8ODVXOwGpVxxcRpriy0smsJBqERNEDy6JcRXbi7jxjvLqBE9SjnPcpMU3J4GdzpeJN9yszzLPQW46zg2XKucG83UoJ7W6bSt/PHuWNSfvM2ddT379H3G9Dv8m8gU8AAgNMsgisZA0xYYp5OqImWuoz0yY8llxpLL3E9dbycNHYojwPc4rto4CXDgyzeX8djTIaqCuVabiPRa6vskQfe8VvQsWnBD75LTrt+xc89x79PjsuAA4JcWoX/bvw8HpWXvbGwg95VLNZQKkygEkwiDCnyv5vTppkxiEgTf+lEZm65tww13llGjxwA3TcFdILZiYlXlZJSTPHCzaSy3oR5TtWlLncd6UKdWmyTArv91XeA7kMgLENpkXGY2s2F7A3JYljqx6q7FzgaGTCKWsdJcpPdx7ZjyjCXnmUSs+gIJc19qzW1LzmMGnwNXXzKBW//6KP7bG8dQJiZJy7LmcQ2kVgGNJoDqOGpcQvjF+84+bdE7f3DrT4bPPL37uAF+3BYcABb1vRG10XsnMPvNtfFDn8XPfhlhvOKjox04q6+GQPcboz4wFlF8+19L+NOvNWJo1NchqWwm4DEsN8233CzDuelMwU0yVtmiK3UlahZgzWM2aG2d3ITYU5wfW1OsczKzBwJBUouYAlmm10S1aUjbEOspxEhTao1ESKnUJ3/dWiLh2wAsS06duP3MObkyDtKO+CvfggHgisLObuT45HtGwSjwj/9axnhNqh+VACGVOHNFFR2zBIZHGUaGF+H9v/v62tEanXjn2y87EaieGMABwG9YBSnF5q1bLl3/B5/7RXFnv8Dy3kF886NHsO60GmQMPHPAw633FPDJrzdiaNTTGVAZcDsXhUZGjg/c9XWW03Du5JrUAR4ZK12fEmvz8JwfN+tsznAZRcUAXVr3JY9leL1rvfV9RIXuBYh2MDPAnhbkit5QjWmIpAHKlCB3v2Z+3kqaI645UyzQ1sDx8XePouBL3HZPEdsPekAErFlTxT/88RCWL/TRf7ABm/esnTz7tCWbKT1uopGsEwY4IbOwfffER5vnXC1fd071DzeXHi+cf3oVnicBD3jgiQB//tUG/PTxEFXOFLjrAJ0Fu+5JbkLwFv04Jrjt7EGKXM3bATetfzyvSsdJmc1gN1fjPhHybSCSAN1GNOoCQCb2kwR6MlYc0JViQiU0HQvkEqqXeF4hsVPFQJzxaSB6W+q/JHm5/hS6uU9i2Y16Ewu0lTn+6ppRvO78Gq77agMeeiQAjwh+8osiDh5pREvb+spvvuHyz3kB+VNCmk94nx471jnN+sJnPyFfv/HCny3tYuzydQPrf+cNz7HurhrufyzEh7/YiLs3F8AlTfm2UxiczQxUoCvoU1VSdpYDbqdCnqY6dzLsytyXuU6b8NSDnljgd+9PFRbb6tvPS5v2pM1/kpZj1Nq26A/NqDP5jq17ZnF8BOIeaPWFF3ZvEZtWmQFiWp2xKZZ7PFkrM3UNVq68PlCcM1g285KkDroyFop0+YFE7yKOvoUcT+/xsPmXRdz9eDNk2FfrnLPy+sEjwx9f1LMqfj4YfV4AB4DvfeVivnxZy0PdnSO1vQcGLvrKjSD/57tN2PxooL5NYLhCpo4yM3GBas4dUqlbPSDNEKRp+mvSKs6y2nZnqrqefxYInbk3eQCH2wvQKVuDy80JJTkHge5clQvqeoA7B1YG1HnJXQlAqF2M4dKn5AxALGA6voF9KrLuM9TH3GXRphTUJHO7/gxH9D+s/28yAb4BOAhAA4KFXRxnLo3Q1BTjwGinYKXl15Fi12d+/uRw9dF7/u/zwufzOKGma+cz/4Q5bYVVP7pvzxPv+NCDLKQRNr1mBIxJ3Hx3GYOTgW7O4+cAXE9coCm4De9WLdYsWqLD8s6QViozFCWT2w3XChPkOZtTAS/fmqdnA+PUpgOmDJiTdm7muc5ztK9tf26bVumzFMnclw6isrYNYKz9kb0P0Dk45vsnac7289JOwEmXYKtTsKm9TUc7Cn27fpxjUq1l4iJEZZKmxS0RfD/C0CTBTT8twWMCv7GhAhH5uPvpq/n+sRVrCt7Yr37/rb/xvLF5whzcXlUsR7Gt5RmEnde8+Y2NX9nXfxd999sqiKoc92wuYnCCwm7rYDuVhOhaSqIbY5IU3E7ZGU25ta191zfvQS6NyKUAOeC2uXdCB+C+Pt9GuJb0eG1IXlWP80qLhxNr2/wPM4pVSKLVavVqIRWABUxbN8DMipe6wIBQ/XwTJKIUEkJvG39AqNMMN98pdU4Bk2xHEudU7T+pnVjoEYKGk6v3G5gAvn1LEyqTPua3VfGa9a8Wl6xfec2ju9Y809XSfzKgeXIA3rf0LNz10NO1t1x63tf39e8uzTq9+7M9zYN47sAYKCUZrm0pJtqqJRab2CNFrM61xM0MrAN3Tq2la2Ezp34bsHDBbYO6/kb9IjPD74mtejLsPJR8KulqGEKqwUzpM7QbKLPA1s/QaSdmdrx6sgZwsqz4vuV4ql1k9VqhQk90U2cH6CkQQh92Uu8wIQQE56gRH0/um4U7H5mP9vau/3nW+Ru/fmHjE9wrnYWTsU4KwAFg47l9GDhyiP/2lZc/OznUOkomtzdueXYCw7Ui4BeUKE4YUvOo+KENaqa5tzObMkl/tcBNZb16klhvkrHiOcDWvzu1Ne06y566Vclrk29LprDmcAE5A/BnS9bygkLEfhwmgGkB13whg3Siq32M82eCVpbeIbVoYkCdXJuWDhSQgiZ1n+qPpZuTFOTJ1yXKipNMRqNAWikkQXXTTIJGv4rTF41ibLQLa9ZsGF219uxnDx44xDvnrj1ZsDx5AAeAYrGIYmnHbS0ta9/70CObPveNH93RdnCEgJVKAKHJaArzi1GiPkA6yi9tjplkCE4Fbvu+LEe2AO84Z0idsqlUigSZJAefU9KU9AnHie8ZrTQPSxERu5VwsmkZ7DRSaltvJGkJkG4jTKlpiiRa+DPvYcvPydlMgZyY6Q56n6q+K1ZDT9NZi1BIwjXYWQL6KA7QGAr8ye8GeGb4vKM9i8/84INPDdx2Rm/byYTkyQV4qaxK+J/eOfSdufPf7L3pssbrR6Kfzx4cHEOVS4zGFFFiDkji8DGkFMWZLkxgJVXp8HwG2PaEBdtpy/LtPKvrWOfMdd06FlqJnMGTpnm5fWOGb+WAm2jtQoM3rcq3BEQDbKLbvBHrjAArQ9GiKtIcJKbxvFRWOKUoAoRQS8aUoIQ6OTHEvJCoSW+1WoBaTFHlHViw+OLDva2v/2Og9p3lPd0nvP+mWicV4Gb1dbfgyNHRb773bRdTvzr0ye/f+uDsoUlgMhaIeKx+Dc8HQOr4tXM7B9x2WN6Mzc5abJuHpzseU1vldBNITuczA1n2vXI2j7mcTNnjBTcs463lQJlJdklzz4kl/8l0H2m6AgNKAt1ZKo2WMu14psumKLp0WStIXFftsySfR8L3OAgREJxhohJibCJAyd9weG7Df/lIVBPfDMLZJ4i26dfz1sGnWp++/pNYv+68x1oagsPDY5UNAYaLa5YOYeHsIWzfwwDqw6MUIdNV8Qzp9AXTqjnDx1NFxcyLJ9ZtO6hDHOCn4Cdav05/DHUQmJ7eLn1xeXmmsmfa7an171w5Etb2CVz0R80EdjKVPdqLTIbKAsltWIlaSTmSFQxKF3G2so1JUwpn5EwlL/pejEIwiTsfJfjVzgLGx1vQ2LLw6KRYfO3ePbu/2dO7+oWC4Qtjwc3atOlN+PQXv/ePp6/oql241vu7pZ2PNB6dGMN9WwoYjcvpQFajd2ccSIeHExvEJOXejpJCEjWEAiogUv/bZAPhzvZJIhkv+Mo7E2WNf7YqyHmN4eMEitdrfV4Q3dGVAqbJp11C58bz9RsQqus9db9yIsH1RDchCRiVmKhxfP3fZmP/oSb81qVLRhcs7nh/U3H4+8vP+K0XdD+9oAAHgNecFYhItN7QEJC4xJZ8e+sDDxdi6cNjDAWqp52RnEgl1dPaSD24k8lnFrDTwEn9FK9sr/VEjTAosM/1tvOWwwMyCYPmLXMBdyKrLh/cfitrUpp9v8vD3c8KpOm0zj9JvodUkx9kelaRSrrWrYsBLYJYywK5zuEmIOC6uy8hasAVFxKUM8SxD8IYWppisLCvWiVzf2/H3oabB0Zq0zbtORnrBQf42ee9Bfue+Rafu6T95tt+NJffu+3c7/La4UJzA1DyhDsQisAN7FjAzoI7udZ6bjLWzzn116shhlfCTk6SFqiMpasDqEwcNill8t72Ipnr6dbxuqS2XzDVwWQfiyl/dhtzwrq24wDK+ip93C6LYzo118x9SDmtArl6D6pnXApwmEguBRcSMvIACTSUQvzRby2shrM3jRbLi34u+DhfuvDkKiZ56wUHOADMW/o7eM9ffpefd/7qH4SNje+48Jzyt3bv3FWKBVNBCWJm/xgdXNbxambxbZtrsyQUbiU+5YBc/bDqlzUdVxUYZJ3JNNbbmXsE46il1j+7bd8+UcJCkDkj5B1ExGjOUxxU+kM4pWx2eZv9VK18mBiC6QfIkhbGGtTGmkv7c1I9SNY0I9QptNwMIyOoxQxj4z5ouHhiycI5v9PY1fMzAu8wMH3DnpO1TjzR9jjXV/707Xjo5/vkx85+9sZLz5n7e5eunz/MAoHxmlAApy64qWPRM+BmAGMkAbkajkXgMQJmbZvbKeWxBrJaDh6S303q/tvSKjCAawGnIu/TrFzpcaavzbkj6wDbOSlZC5+OzyZJc/mk2TxX3Y9jTtRFEHWfvs2tS6xfn1x4ui2s+2JueuUQBF4NtUjgyETf8OGx1b/3nj9bceNQ/z8cIITw4xkQ8HzWC6ai5K3N/3Ezllz0Trz1MrZ11ZKWfazcsWHHnvESiSZRLhD4zAK3BUovC24NeAVgkoCd2bc1mBmjbqKT0YVJtkWaFsFkFnvEAVMaKDIZfSQ5c7ipstOrKFMqIta2U7BB7dSE+kQr+2KXr0l7ioI1DyftiZK2e0vPbGlxs/6y6d6wD7CMimN6jUtJQBCjubkEXjxzYMvu7g8+s5/901s2jmPZ2ne+mJB7kV1/a+0+OIwg8N75Lz+8/1M//OFdsycnRkAJRcz1adFYdEbSicoWuBWotRU3FIWa4aspVbGXENDzFdXM85hLxDydg266sZqVl0VoHywmRZaRzP92PoOVUeg8Vh+YcjIMM0EtU+BBzGMWuJMkMaQHrLG6MQfimOjvSdLKewsAdvzAHEjGoCTqljXk18xo8qhMhiIwpjT0mFNwLtDcXETfqg2H2+e/+sNCxN/wgvZTgrMXhYPnrQUdzRgbG//G23/jAjKnEZ+88z/umd2/bwijkwShrxmdrXPnWG5q6AtLdW9mpaya9FAgpRgK3CpTjuiycyFU62EhLP5MbKcqbbAjpyHaedz7ZJ2JU+tuigvssrx0WrEEEstMdOExF4Z2WM05zfvq9zZyK9M9VCSVYAxKKzdyoV6mCT0BQIQyNJRIeH6EgUMMsZyN3lUbDrfMXf+RiOMbYdhyqmB26gAOAA0NZYyPj3/9kovPjTvbw89u+eXtrd+/fQCVCQ+hj8TpTBUUYjmc+sLMgUCS4I9TdGB+RWjLJhQwhBSIuVD9QfSIuqTTr9HS9a/IaKoqGDVF5ta92E4fmdH50bzvdM6Q7UhSpKpSkiNu5YBDEu34UVW0LhWfrsV62ohASsP0yG87f15QIw/q3oAJuCWc4gpz4QSCEQQex2Q0ge2HunDRBRsHF/SccS3n5NvFYvFUQuzUAhwAyuUyhODfWXfuGUdbyk/1Hp5Y/Okf3/4Ln1GqLHUS1MnwbG25k+ewFOBO+B6uFeWCIGbqVF2rCXAuEMVq/qLQmDWpAKBKHFbtO9LcCic3G3CBfCIWW4PcySbMFBnn8XVFW9Lx6erAlPCEOiiFoJBVNZGsUpXagtuykDlTIqFPalSfGrZqgC5ZmuplAgsG7FIqubDiSXQuWB8Fe4MPLelb86znF39YKJxyeJ16gAMApUz89MFnbmtrf1uwdtWTE+Ug+PITj28h1WqFqsdTju04n4lSopxJJwiUKU1LHDCpQE7AMDrOMVGRmKwpimLAnUiQAICMNuziI0fOS88arr2bfjlps/o1iYRZB3KZgpu5IGdUKSlCCBDiYWyCYXxSYqLCwYWsO0MZX8HsYwVwzdWZ/Z2M9q/AzfUHrUWAQINY2Pkq2Tmv933Xvq/3W9HY3lpQWHmqYQXgJQJwALhw3VI8vuXXtb7eOd/xafUeKqtX7uw/8Je79+xDqeC5IGcEnkfgUQLPoynIE65uFxprS8dMaF9RlDmtHEEwiSd2MoATeJ7uVKtf7xmrRZTVo0YEz1nJ6TpRGNwi3VyV0E5vhVEhtBW3NXhS/89Sh1cP4tVT78y8UjPxrrlRYPO2Eg4cpPCSEjitLhGAMhvgivpxRtX3t4NE0gSEpC7iITrYFaO1rRPFcsefNbX13EiDebsP7B2sze16aYAbeAkBHADWnr4SACa/+70fbLvw/NM/5QXFoL2t8aO7d+9mY+NVUEphqItHCTxG4TEK39N8XRfu15W4aeB6TA20LQQCHW2T6JgzgO/9vAGDI01oLwoUfCD0JHy9V4i23oKYZpb5YXRH0yUuLcoLxBhrrSl9kqLqhOkzB5MR71IHM5087TMzZp0j9DmCIEJzQwWHR8bx0PY5qI4U0dkEhAGB7xlVioByQ+ekAjeVYEJCMJrSMRPp5Oqg8gEAHEKGaJ3dzTvmzPqE8Lo/NXDkAF+64vxTDaG69aLq4DNdP7j5Bqw7/w3y3f/9rff84KZ/Dseq5FV79w96HokR+IDvq86jvqd+MN+Hut+Dnr5sb6vbgS9RDAVKBYHGcoRZzRV0zx3GkaEK7ny8ESxg8JAWKifW35L1EkkyI0smwSOL/9fp3jCgr69Gz2YEOhmGtlRoHbzMUzKd76k5pYHPEfoxCmGEUrGKue3D+P49Ajfd1wpfevCZKXxQR5QpPjE6uEga6cvkOWmWJfRrJMKAomteCX0rz6yuOuPyzyxdcc7HrnnX5fKc8zedatjkrpeUBbfX777jLZicGMP2fdWPvnbjhXRJz4L1d991O/VYtH5wcMgDFJh8Dwh9IPA0vdDBImJPeqASnicR+gLFkKNUiOH7MQJPYkFHFaXSBIYrTQgI0VX8JEn0EkLPV9cuFhJgWmoNcoBp3zavy65MUMkJPBFdWyll5qwhLYnQ0qSZgO9zhEGEhmIVY5Uq+g+VUYs9VDnBZE3tC9PHxJOKb3OtxJiDmXFl4aWnnBLKFC0Zr8ZobmmNw1L4wJpzLhHzuhY+QGjto0PDY2hpzp8T/1JYL1mAA0CxlOy4j/z07h9j40XnNI6Pj39tx46dVz3Xf5BKWUPgeygEEmEg4TNbMku1YgNw31Mg8D3VyqAQAheeUcHqO8eweXsDJgKKAicKMFwBQNq8QdYHRtKWEMRpAOTkweQoho6ebu6DNQkNqVNs55EYJ89o38qi6+nTHofvxWgsV7D1OYEHHgtRrRLwIkGNE0SxsvpEc2ih6UlazSQTo6HG0qj3bmsuodw4X8zuWHBTqVT+/Ue37BvtWnTGqYbHjNZLGuD2uvDiN2Dfnp2jpVLh/XM6Fmyn/uOrfTq2aWTgORQDilJRURKVT2JrbcSR09RFtXcGAB4TRNUI4BGqIkQkCLiQuhOr0sb1uyIvbJ9a8jSr0RlUNQW4DXiTxCh9P9VE34ywEYRAUOnkdkO/TPU6MeqJcTA5qBfDDzmYR2Fm2CdhekNJSJp8BmdvKXoXRTGqVKCnexl6FrbesnT56VubWzs/H0fV0Z7u7lMNhxmvlw3AAWBeVzcAHDl4YO/HrrryNxft37MNB/e3bxo8tBUBHUBjGajWfIxXPZh2HjE3Y/akViBSCy8EwawmiSULa3hsd4yIa4BrcNvTho0zaYBrErbsML3h64727niX1qaVumrndjjDWIlWVBJFI5P36kiGquGO76kG89t2Mxwa8Uwtgk66codaCQHERjqkBJNVYKzCEXoxFs1txrpXnYbVq5bdsnpV3wdHR8d3LZg/91RD4LjXywrgZnV0zsf46NFd3YuXX1suF77Du7s/wCee2HD08MPYe0iAMh/tLTU0lWo4NFjAwHCIUgjIQKGH6IG1UUzQNUdi3ZoabnkoVrkpyci9FEu2BEhsZ5IRUKZUHdu5zFsS0gF7YpOtnHQlGSqLy2TK3yklSt3QhQsmkprKk2YAr4TncUQxx4NPhOg/5MMrm+CUOlooUSNICwHBkVHg8AhBS1FiViMBITVEQRHnnnY2Np7Xd29Lc+nzfct6t0RRtGvhwq5T/bOf0HpZAhwAyo1tALBdSrkdwNbB/SNzD1eWf1WWdi0RlV+xMBjAE89VsO+gh6ZSEV6rRDGZ9Ju+j0+BUFs9TgSEZE6KrL2ShKREVUkjqszqVZgUUTgHSfpPpeVdpi2Qda46kMyaN/+TaXoh9Ahs5zPBjWyqNmkCtZioedjE+i66asf3CFqbfHR1Rdh5dAzbnw0xt72It152Ju9Z1rN9yzby7ksvOW8/gG0vVlrrC7VetgA3S/8A2x7cMrJNhvzShT1t85ctXHvToX23NN33k4PlgQM+LjhdWmOsZQIEQEU1O5oF2htr2D+Wcm6Xa1uSHYXS41kacPJ13rnJ6kukN+FGPrPL+K4mw1HqSgsiCARTH4ISpXQwE100llxmDkKiR6czgaMjwMFhpSlKqXg3l9C5JYZnU5y9BFjrebi7qXf8HZsuHVkwO75i4eK5e89aw3a93IFt1sse4GatO70JXMhdIC27KYZWHRx647qrN9G/P7h3RxzEO9o8HGlUkpqe46kbRXJOsWFtDeuWV/AvD4iUbyMr/aWpsDRJFTBavJ48rjOmYg7EsIatInXoTBU/iK1Dq9RdrierUqryqiFV4xxKVRDLWHApiKOsGApCCBD4MR7exnDv4yWAqmZLkQSqkUTkCcgCgSQUDY2to/O6lx5dtbLbW3sOeVehcfGD3fPLwwDEKwXcwItY0fNiLEYJGCFiy1PVQRL03N7S1LLsC39/c+/G1135ie7es39Vbux4vKGhXCkWAjBWBRdVRDGFT330dFURFCM1as/Ib1Yui3IolRRogzvwgEIAFEOJUkGiGEoEvgK7Aa+Q0qE7KaVIUwGiiKNSFZisClSqHLUaRxTrRDCOJNU1mbMjSTJjh+vqdUolKlWJZ/aEGI8aAEoQYgKViCMolVFuaqks6Op8/OIN5/7qt9/+1k/8+rFbeoullmUr++bfvrhjcJAQ8ooCN/AKsuD2WrOiE1Bn5ImBQ/2gzPs0pezTPb29rFRa/WWG0WVDg7++4KeP7WJ982MsnhvjojVHccu9VQyNl1UzUCY17XCVEVWIoZK8TJCpGAoUAonAV07cZJViskIQRUpuzM8EhErFlQRRTDAyIVGtcWWFPYJQt1enhCBmLK3Ekaa4ToE9LROj8CjBgUGBOx4sw0Mz1i6u4dxVNRyZ6Oarli67b05LYdvE+Ng1Hot4sVjAxk2flMWmRROn+vd6IdcrEuD2mjVnIZBS1VjKI78PhK0T/gV/9dT+nwSjo3t4V2d8Zrlp6KxCKBAPVUGEROhR+Cwd1y0tisIYhaetdxgoy10ucjQUYzSWa9ixV+Lg0SIgGXxfWXtKkXi3JvTuMXWANJUF9gxE2HWYoLkIlAuKZxPtyHqMIvZIksttKJQQQKWm6AwjArWGCL5XxtKlSyG92Y9csmb80U2vm80aOi6vRej8EyIrg4sXtJzqn+RFXa94gGcXIe0AMAjgPQBQPXorPEY2LGITr3vLm3HFxGjcVyIT2LtrO2Ie48CRCVSqHIIThF4ASj2VychUQKQQSJQKHE2lCG3NFbQ1H8V37y7g2V0eFs4GGikDozKR99LPoTIfG0oCi+ZWgGAQ9z7ZhI7YR7tUgSiPEgSeQOwJxJxpx1VAyhooYniMYaxSRiQ8dHWvQbFdojEgT1+4bvZNy5e3/YRRce/Ksy4G8P5TvdtP2fpPB/DsCtveDAD37jkwcO+7r8LP4oj3Dg4OiBtvPCRaW2f1rAlbPvzczn40l32MDh8GxDg8IsFjAGDwfYFSGKGhVMWc1lE8tK2C+37ZglZfJamYcjopoPpym7xrqaraIYGCL/Hq0yZx5+MCj2ydjYCqKQuBBxQ4UK3WUKsRSEEwZ1Yz5nfNQimsoK29Czt3j35qcHD4uc6FG2hzazOllD17xetxux/OOdW79iWx/tMD3KyuzlkAcLu5vXP3IRQKYctzu/Y9EHgMpSKL5rSt/MNSgbw2DIBaJLDjmcdRKgyhrSVGU5miXPLx9J4ChoaBzo4Y5QJFU0kCiHHwaARKGea1MzDKceCoKisTnKCjDZjdJrG6R+CxbUVwKsCJBPOAOXNase5VZ0KCohgyNDWQOwI6/tkwqPqd81ehd+W8e3lcHQpLnad6F74k1/8H+BSre8EcABgCcCsA7Nu3HwCeokR2UCZFtRpj/97t8OgYwpAiCBgaijwqNF9y3WUXiTctaEW0bIGPhhIBITGe3h1D8AB9CwkkavD6VT/tcpGicRZHU3u3/443+//2xZv2X7dwVuATKuB5QFNjA1atWglCPXiM0jBgBwE8N6u941TvopfFemVpQqd4fem7dwEEHUePDDTPbRKyt8tDMQQojfDkLg4eh1i+iEDICp7cyUBBUQgJFs+T6F1UJXPmNg1D4iApbjrVX+UVs/4ffsVpROsSkA8AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6NTg6MTcrMDA6MDDJAzOSAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjU4OjE3KzAwOjAwuF6LLgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 197206000
{'hecke_orbit_code': 36028797052523454, 'n': 1, 'trace_an': 2}
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id: 197206001
{'hecke_orbit_code': 36028797052523454, 'n': 2, 'trace_an': -2}
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id: 197206002
{'hecke_orbit_code': 36028797052523454, 'n': 3, 'trace_an': 3}
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id: 197206003
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id: 197206990
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id: 197206991
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id: 197206992
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id: 197206993
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id: 197206994
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id: 197206995
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id: 197206996
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id: 197206997
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id: 197206998
{'hecke_orbit_code': 36028797052523454, 'n': 999, 'trace_an': 0}
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id: 197206999
{'hecke_orbit_code': 36028797052523454, 'n': 1000, 'trace_an': 36}