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{'Nk2': 34680, 'analytic_conductor': 69.2302985524501, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [17, 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': [8670, 1, [2891, 6937, 6361], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2048, 'field_disc_factorization': [[2, 11]], 'field_poly': [2, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 16, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [8, 0, -8, 0, 1]], [11, [-16, 32, 8, -8, 1]], [13, [316, -16, -44, 0, 1]], [23, [-124, -368, -44, 8, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147346910, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': False, 'label': '8670.2.a.bw', 'level': 8670, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '510.2.p.d', 'nf_label': '4.4.2048.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\\beta _{1}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8670.2.a', 'trace_display': [-4, 4, -4, 0], 'trace_hash': 866649804812649318, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.065', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.753', 'prec': 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-0.3616173135398763, -0.19018895395889046, -0.18790251938350702], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.7653668647301796, 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147346910, 'label': '8670.2.a.bw.1.2', 'level': 8670, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [11, 12, 10, 12, 16, 7, 8, 15, 10, 12, 11, 12, 8, 15, 16, 7], 'Nk2': 34680, 'analytic_conductor': 69.2302985524501, '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': [8670, 1, [2891, 6937, 6361], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1765, 'dim': 182, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 33563102, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '8670.2.a', 'level': 8670, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 1908, 'mf_new_dim': 182, 'num_forms': 65, 'plus_dim': 76, 'prim_orbit_index': 1, 'relative_dim': 182, 'sturm_bound': 3672, 'trace_bound': 13, 'trace_display': [0, 2, 0, 4], 'traces': [182, 0, 2, 182, 0, 0, 4, 0, 182, 2, -4, 2, -8, -4, 0, 182, 0, 0, 0, 0, 4, -4, -8, 0, 182, 12, 2, 4, -24, -2, -16, 0, -12, 0, -4, 182, -8, 8, 8, 2, 4, -12, 0, -4, 0, 0, -16, 2, 150, 0, 0, -8, -16, 0, -12, -4, 16, 4, -20, 0, 4, 8, 4, 182, 12, 4, -8, 0, -8, -4, 24, 0, 44, 20, 2, 0, -16, -4, -16, 0, 182, 32, 16, 4, 0, 16, 8, -4, -36, 2, 40, -8, 32, -8, -24, 0, 4, 48, -4, 182, 24, 0, 4, 12, -4, 12, -16, 2, 4, -4, 16, 4, 48, 8, 16, -24, -8, -12, 0, -2, 214, 24, 12, -16, 0, -4, 4, 0, 16, 8, -12, -12, -16, -24, 0, 0, 0, -8, 40, -4, 16, -8, 8, 182, -20, 40, 34, -8, -32, 0, -24, 8, 0, -32, -8, 8, 8, 24, -16, 2, -48, 0, 16, 4, 12, -24, -24, -12, 186, 0, 0, 0, -48, -20, 4, -4, -4, 40, -100, 0, 20, -56, 4, 0, -28, 8, 0, -16, 4, 16, -8, 2, -36, 0, 4, 150, 16, -4, 8, 0, 8, -4, -56, 0, -32, -36, -8, -8, -48, 4, -40, -16, -8, -40, -16, 0, 392, 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80, 8, 324, 32, 0, 408, -8, -32, -108, 32, 16, -8, -108, 4, 4, 188, -16, 200, -24, -56, -56, 0, 12, -172, -32, -36, 16, -16, -20, -176, -20, -4, -16, -24, 328, -32, 8, 0, 0, -128, 12, -8, -72, -56, -24, 72, 0, 94, 80, -16, -20, -56, 0, 300, -48, 0, 28, -220, 2, 344, -44, 8, 4, 72, 56, 88, -16, 4, -52, 192, -16, -52, 0, -192, 312, -80, -4, 72, 8, -16, 64, 0, -16, 112, 24, 16, 2], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49031140
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147346910, 'source_is_minimal': False, 'source_label': '8670.2.a.bw.1.2', 'source_level': 8670, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147346910, 'target_is_minimal': False, 'target_label': '8670.2.a.bw.1.2', 'target_level': 8670, 'twist_class_label': '510.2.p.d.361.1', 'twist_class_level': 510, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49031141
{'conductor': 17, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147346910, 'source_is_minimal': False, 'source_label': '8670.2.a.bw.1.2', 'source_level': 8670, 'target_conrey_index': 421, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511829707817470, 'target_is_minimal': True, 'target_label': '510.2.p.d.421.1', 'target_level': 510, 'twist_class_label': '510.2.p.d.361.1', 'twist_class_level': 510, 'twisting_char_label': '17.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49031142
{'conductor': 17, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147346910, 'source_is_minimal': False, 'source_label': '8670.2.a.bw.1.2', 'source_level': 8670, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511829707817470, 'target_is_minimal': True, 'target_label': '510.2.p.d.361.1', 'target_level': 510, 'twist_class_label': '510.2.p.d.361.1', 'twist_class_level': 510, 'twisting_char_label': '17.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 49031143
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147346910, 'source_is_minimal': False, 'source_label': '8670.2.a.bw.1.2', 'source_level': 8670, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 202661983265235422, 'target_is_minimal': False, 'target_label': '8670.2.a.bt.1.3', 'target_level': 8670, 'twist_class_label': '510.2.p.d.361.1', 'twist_class_level': 510, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 49031144
{'conductor': 51, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147346910, 'source_is_minimal': False, 'source_label': '8670.2.a.bw.1.2', 'source_level': 8670, 'target_conrey_index': 1441, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029896564147706, 'target_is_minimal': False, 'target_label': '1530.2.q.i.1441.3', 'target_level': 1530, 'twist_class_label': '510.2.p.d.361.1', 'twist_class_level': 510, 'twisting_char_label': '51.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49031145
{'conductor': 51, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147346910, 'source_is_minimal': False, 'source_label': '8670.2.a.bw.1.2', 'source_level': 8670, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029896564147706, 'target_is_minimal': False, 'target_label': '1530.2.q.i.361.3', 'target_level': 1530, 'twist_class_label': '510.2.p.d.361.1', 'twist_class_level': 510, 'twisting_char_label': '51.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4816200
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 216172782147346910, 'p': 2}
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id: 4816201
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 216172782147346910, 'p': 3}
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id: 4816202
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 216172782147346910, 'p': 5}
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id: 4816203
{'charpoly_factorization': [[[8, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 7}
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id: 4816204
{'charpoly_factorization': [[[-16, 32, 8, -8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 11}
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id: 4816205
{'charpoly_factorization': [[[316, -16, -44, 0, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 13}
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id: 4816206
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 216172782147346910, 'p': 17}
-
id: 4816207
{'charpoly_factorization': [[[-64, -128, -48, 0, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 19}
-
id: 4816208
{'charpoly_factorization': [[[-124, -368, -44, 8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 23}
-
id: 4816209
{'charpoly_factorization': [[[544, 128, -80, 0, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 29}
-
id: 4816210
{'charpoly_factorization': [[[-892, 528, -60, -8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 31}
-
id: 4816211
{'charpoly_factorization': [[[-496, 1056, -120, -8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 37}
-
id: 4816212
{'charpoly_factorization': [[[1912, -384, -80, 8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 41}
-
id: 4816213
{'charpoly_factorization': [[[-772, -672, -84, 8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 43}
-
id: 4816214
{'charpoly_factorization': [[[-64, 0, 48, -16, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 47}
-
id: 4816215
{'charpoly_factorization': [[[272, 224, -40, -8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 53}
-
id: 4816216
{'charpoly_factorization': [[[-452, 864, -116, -8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 59}
-
id: 4816217
{'charpoly_factorization': [[[-16, 416, -56, -8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 61}
-
id: 4816218
{'charpoly_factorization': [[[5308, -3072, 556, -40, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 67}
-
id: 4816219
{'charpoly_factorization': [[[392, 0, -136, 0, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 71}
-
id: 4816220
{'charpoly_factorization': [[[4216, -768, -176, 8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 73}
-
id: 4816221
{'charpoly_factorization': [[[-2108, 688, 100, -24, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 79}
-
id: 4816222
{'charpoly_factorization': [[[-256, -256, 32, 16, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 83}
-
id: 4816223
{'charpoly_factorization': [[[3088, 288, -152, -8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 89}
-
id: 4816224
{'charpoly_factorization': [[[14072, -1152, -240, 8, 1], 1]], 'hecke_orbit_code': 216172782147346910, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '8670.2.a.bw', 'level': 8670, 'portrait': 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uaKrRFYCA2cuFCjN7S064KGL5DEBEFCu5HQHficuAhj42Os5aqtIb1BwtlFzUzL4/KtMTs39Wk2xghpCUNBZ1BnoeMz0xB40uPsRZ/DZwTHz8ecXIoJ6gNe88I+b74VAjnNwRNtTl5QnMuYe8FyeNFyy7UL/MJ7Vtg6Pc3xc7OcW2ywsKJZXJWsdGI6/ZjeIKHTj4mpo2e2m92Xb/2z6an6e8Mw7v7aT7/rOw2Jb+vxVxrg3W6X4TBCa/m+Bx4/+pKf+0+flG990eGX/MPvPa/PL29iudNitRuw2tMsdzUrPVjuJKx0IpY6CedW4ciiYH5+lf/7h5Z40ZUNTl2Y5ezFJmcXNReWLOcXY04vJFzsxUzPjrjj+j4vvgp8WSdQAReWa5xb1JxfFgzGEMeGmm9o1hJmpmIMcOJ8TLcPuzZ5NOtjrBUgfPpDw87NY5ZWNVgnRVb7MI7BYlnuhGzb6NEbKoSyCDOmXfPYuWXE6kBw4qwmMZq5tqRVEwQexLFgMJacX5acW7JcWIkJghF4Mbdd0+cl1wrm23WWVtqcuhBwdhEuLMZcWI45swxHliy3XLPIL/3QCpun25w8P8v5xToLKz6LHclyJ2G1F9HpJXQGltWB5WxXcHZxxL/5x+P4Xa9sfiOY+zFTa+/7hhLm50Pj0Wy2vtNQueTjr6wGv/Pzf8G1193Az//8z/zypz/31X/6R3/+xSsOHF+9bP/poXzp9R32bDWYRGERIAQgsEhAAgKERQtLIOHsco0HDimu37PMVTtGNGrgaYnvKXxf06xLGp5k0Pc4eLzGFx/1OXFxTDeOOHhqzKa5Zd5yxwrXX9Hjlqs6HF+MWRwIGsGIo2ctnW6T6y6XrI4S9h9XtBqaZ07AlVstozBhlPhoHTHTggOnApRO8GSM9mA4lrzoqgHDgeT6KxK6w4QTZ1vs3qxoNkJWx5aN0wNW+l3+7Cvw+LGEJ4+N2LV1iRfs6zIzG/Km23p8/8steza3SKJpjp2Z4shpj1PnDacvRpy+mHDkouDkasQNexf4v3+ox6bpaU6dn+X8UoPFVZ+lrmCla+j0Izp9B+7lvuV8X3F+1XDT3kXe++ZFqay67Nixs7uXO8mtzeld9amp6S99+tOf4MMf/tPvNGTWffyVZPA/+KOPsTyYVdtmLv5f5y9c/BePPXlUHTs75HxHcaIDV+xY4N+99wI37G5wfmmGpU6D5W7AatdzTN6FlW7CSjdmuRez2IFTKwJdH3H7tcv8wMtDdm9sstpvc3G5zsKyz2JHsNwxLHUMKz1Dd2joji2DUcxcO2LnJgMIAs9y+qKHkAG7Nip2b7Vs3TjgwsqYJw61uPlKS6O+wtOHZ2k1Q8LQY27GMBzB1TtHfPgr0+zbETMeWzZMSaJkSKsW8MzxEXWvyY17Y548GnJhyWfbXMDuLbBzc4hSEacXwfcsQlh2bYqZaUl6w4D+wKM78FjuKpZXYaljWO4kLHYSzndgaZSwc1ufH3jFIrdfpal5bc4ttllcqbG4qlnqClY7htVexGo/YbVvWe7DhZ7kfCfhlr0XeN+PL3P55inOL01zbqHB+ZUpvPrOZHZu7pff/MbLf+mRh88mL3zJ27/T0Fnz+CsF8IPPPUe9VqufPXt654MPP/2uoyfO/quzZ88CktWeZakH53uS452EG3df5Nd+YpEXXN7g4so0S6sNVno1VroeKynIOz3j/N5ezHLXcqEjONu3IPq8/aUd3vQiw+VbaoRhg5VOjdW+T6enWOkLegPBaGwJY0uSgJKWwIN6YJluWzbORmhvxJFzIU8dDjBxkzfcGqK9VR7ZP8VlW+DzD8a89LqAi50hNa2Ik4jZGYgjD+3FLC01uOOmLp+/v8XuLfDwoTEeDV7/IkMshjx1JOHY6Rpa+mya0cw0BfVA4PsCJSA2EEaWUQi9gWW1b+gNDKsDw1LfMkwSdm0f8KYXd3j7S0IwLZZWp7i4XGepk5JBB1Z7Tmuv9hy4VwZwvqe42E24+coL/Op7F7h6R5NzSzMsrTZZ6tRY6mjC0LBx42Zqzc3/59zma/58x45tJ0ej0fDKK/d+p6GUP/7KAPz48cPMz8/7hw8d/pHnDh36jUceeVwsrfRlFMM4NPRHhs7AsjIQnO8rTncjXnjFRX71R5e46coaiyvTLHaarHQDOj2flZ5mtSfo9CydfsJqL6bTN6z0LRd7gnMdw8z0gNfe0uO2q2J2bVK06x7dXo3Ak4AijCXGCIyFwQgQhpnWiENnLMaG3P1wk/GgzhXbfG6/fkBkVrn30WluvNLj0Pk+nZU2L75+wJceCdg0a9l/wvIP3tZl//GATbOSLz6quP1qxfKgy9FTs9y4N+Tep4bE4wa3XeOzZ8eIYdznrkcUJIIjpzXthkYLGAwlxgoSY4liQBq0b+j0Lc1WxI4tY15y9YDX3hwz16xxYXmKpdU6K113bla6gk4fOr2Ybj9mtW/oDAzLA8n5nmCxl3Drvov8qx9f4PrLaiyszLDcabLSrbHac3HDKJSMQktsambPFdfbyy7f8/cv37Pn95cWF8J9e/d9pyEF/BUBuLUjaeP+W44d+MQVz51ovP+bDzzijcYwjiyjsWE0ThiMDL2RpTu0dAaCCwPF6U7CbVdd4H0/vsjNl/us9tosrLTo9Gus9nxW+5pOT9EZQK9v6Q5iuv2E/tDdLAt9wUIfomTMC64csnk2oT+wvPHFYy7bbIgTiZaWMIJ7nqhx8mKNLTMxTx+pgWlw1XbFTfsMQW3AI4cGLCw2ufayJu3pFe5/0uOFV9ZYGqyystJm82bLg/sVP/iqPg/t12zf6LHY77CyPMtNVw+4/+mE2fo0117R52Knw4PPTlPXTW7ZZ9m7cwSyzxPHBBtnIy4sRNz7hMcoUkgJibFctiXktS8O6fUVW2cMN10JYdhgudNguROw2vfoDhSdvqTbh+4godtP6A0SugPD6sCyPJSc6Qo6w5Db9y7w//zYMjdfWeP80jQr3QadfkC379EdaPojxXAkGI6hP0zoD2NecMMt0fFl+TM/+cPfe3i6Xf9Ms+ab7zS2vuOZzF5vwOpq+EPPPv3Ev189f3z25JkRzZorNRXCggUsWAvGGpeatxZEghSKhw5t4uc/4PG225d596uW2b0t5PxSm8CvUw98GoFHs67p1SWtocdUUzMYJfSHCZvGhuHY0hsFLC/UOH3KEsaGM+djgsACAl9ZtBQMhgqBRzzQ3HCZYM9Wy85tA8ZJjy88pDhweIbX3Rxw09UrfOgLFl80uGzbgCfvV2ybVmxoD6ipOmHkcbEHzZpm+ybB4wdCbtpb5+U3LvIHnx3iey1ec6vFCwZ8+cGQzz/Q5NljdS7f2uCyLQnzMyG7N0Rcd1mCUgat3AlqBAHz0wFh5NEb+Dx9yKM/0gyGiv5I0h9Cf2TpD9xn7w0T+sOUMIawMFCcX7E0pjr81BsX+Bu3hVy/u8nZxTadXp1uP6A39OgPFcOxZDh24HYyDuIE7v36Q55qzv37Q/sfX37RLbf8k/Fo+AdBrf6/LsBHwyEI8WNPPfHI+77+9XtmPdGnHkh8X2AtziHJjR6LTV8JLFJYlEjwleTpwxt47LkGh85e5G0v6fOSa0ZMt9osdxo0uzXaQ5/+QNNLL/ZwpBmMNaOxZRQawsgSRZY4cUcY+1gDUgk8Laj5gumWYKYFmzcYtm8asGGmw52PwNce85Bmitfd7HHDVT3uezYiHLW5/QZBZzjk4lKT2/YaNkwPqOuAUaxY6EYoI7hhr6bRGvPowRovu2mKF7+gx6MHFdgpbr7G50ffvMyXHg/54kNN9p+ssXNesXm2zkyrwVQL6gF42qIkGAv7jwmSRBDFgjCGceQAOBonDMeG0dgwGBkGY0N/CN0xLPQlC30YmRGvvnGZt7ykw996jSWKWpxfbNEd1OgNfMfaQ01/JBmMJMMR+fkbjxOiOGWiwUW+9MW7Z8Nx/G9e+tKX6MFg8IFGo/G/HsBHwxWUTH706HPfeN/x5+7dOFXvoVUKZuGgjRAIIRBCIYQAmSAFKOmyiEpZPJVQ05LFQZ2PfGU7X36sy0uvW+U9r17lut195qYbLK026A0DBkMvBbZyRygYR5IoFsSxW+ptehcpadEaaj406obZVsS2jQNi+hw6E/Fn99Y4eqrJdFDnhddobru+y4PPdbj7m21uvbLGzi0DPvwVgRIB7VbEan+MsaAEzLcHdHs+Jq7zlpde5COfb7DnQo033TogjJa496k5oqTGi67ZyJte2OXKHR2+/OiAJ081eOKYz/ZZyWxb0AgEvuduQilACIuxYIwlitObNbJO6oWGUQjDEHojwcpYsNwDoUfcsHeV97x2lTuuSdjQqrPSabLaq9Mf+vSHXgpsRX8oGYxlztyjsWEcJowjRxLGgBGSQ8eWOLtw18blTvy+1732DnthYeWDm+Zn/tcAeHTx/awOtxMuf+yH+/3o/ctnD29oB32CWZ84htg4BlJSIISTKlIIpJQO1AKUFEhp0MrgKYuvDTUtWBkpljszfPSeJg883ef2F6zyntescuOeDnNJnTgOGIxq9Icew7EmjBRRLIkTSWIExop8dQh8Q6MWE/ghvjfmzNKYzz4sOXza59jpGZQJ2LPF5+rdipuv6qKCBZ460mLbdINrL4fN8yssd9tct00SG8udDwWMB5LpZszrXzTiM/dGnDzfYt8VHudWRzxz1GPHphlesHuB+57scf8zgnHoc9XuWa7aEXDV9h5Hzi1z+Aw8dKDBoaNNGloQaEkzsNQ8kNIFVda6mzVOIIwhTAT9saA7EnQjCE2MsSNuubLLe17b5aXXJWyZDRiOpljq1OgNAvojn0EK7MFIMRwLx9wZuMOEcegAHkbObXIroJMrZxaXOfXnX9n4jWcuvl/Um/Ev/uZnP/T04Yv8+a/9nb++AP/pX/lt9PzHSI6+7m+Z6Pivh6vnppt+AztdYxRawkilh0QriVKglUApB3gllXutDEoleFrgewbfswSepeEnTNcEvbHHSneGj3+tzVeeGLFpZsC7XtHhqh0jRsM+1+627NisGEceSaJIjMRm4JYGTyecuGA5dl6wOjR86r4GZxZnsKHHTE2xdU6za7Pm8m1w7Z4uRi7yO59psrw8xa1Xaa7d0+HLTwhE7LFxRtJsxAwiH2klWInSPp2R4MKy4Brb4BU39/jGo3W2bvC59dpZ/u6bF/n9z/d46GCT/shjabXF7q119m0Z8KK9Pb7vZT3OLi/zqfsClgYBJ855nDnj4ylHBAKBsZbEQGQsSWyYmYu4/poB43HEVTvGvOMVYzZOKWZbAVFU49xCjf7QZzj2GIw0w3EG7ExvC0ZjnCQJE0ZjQxgZxpFNGRyi2BImEEYwjDTHlzvc/9wDGy67bMuv33bTxujPf+3qP1k88W/YsOuf/fUD+E/8qz8nuPmd4m//jHrnttZTv/uuO55sXL2rjkCgpMUfe4xCj3Gk8EKNVgqtLFpKlJIo6cCulUSn2tjzDL5OHIN7lnpkaYSWqVrCTF0wCCW9sMmx001+9U9mwcSIOObm6wfs3hwSx1ng6pI4UgikEmjP5+BJn/2HazRrmpYv2dAQzM9JNs5qts4rdm1J2LdrlUQs8Z8+0ebEyWlu3etx1WUJw7jHN58KmK57zE1ZplshjbqTQsZIOiPFct+y1Eno9Ovcce0qD+8fcOCkYrpd40XXTPPjb1niv3wSHj3cpD+0rPY0F5bbbN7QYOPMiF1zI376nQPajQ5PHoODpySeZ1HKIoTBReaOzeMYLtuccPt1MUnkEcUB1jYYhR7nFx2oh2PNKFS5fBuGglEK7lEI47Bg7TA0DuhRIYEyzT+OBaMIeqFkMRSs9iO29R6dfuvNG3731y9ejFXw4x/tnGraqR1//68PwH/mV/+MfVvb6utf++O3Hzyx9KE/fmip9viBKd7/97pcuc2idYLWAZ6X4IceY23wtMYLJZ5W6NAxuq+lA7YWLs3uScaeJAgTxpGlHhnHJqGlHcM4MoxjCGPBKJKMk4AoqXHgcJMnDkBiLQ7aTvp4Enzlaj5aAVy7Bdp1mGpKZlqKuWnNxlnYuXnMlvlVIrvMf/rEFEeOTnHT5YrLt0v2bF/hq8/EXFia4ubdkpm2oeYPCWSAVYI4kQhriZOQlX6NC0seN11V54a9Pe57tMamGUGj1uKmvYafevsSv/5JwzNnWqz2Das9xcKKZsN0k5l2nZn2FO1GxHwzYtdNIYEX4+kYpRKkcMGExd1UUaS4uKCJYkUUu5VynK6Y41AyjiTjUDIKJeNQuAA1FIxD66RI5ICdnd9xlB2utmYcOWAPI0E3lqyOoT8cc8POJf71ey/wqmvONrqr/oeM+rAxYs8nLh793WTj5T/+3Q/wX/vPf8pM21Mnzl54x4VT5/7g6QMnal57mjsf0vgafunHOuzdluDpBr1hgqcTtPLwlMHTCi+0aKXwtGWsbVpDIhiFgsATjH0nacahIYosYew0YRSXjgTixJIkhsTg9LYhB7cQuBVCgudBoAW1QNAIJM2GYqohmZkSbJyN2bV5QKu5yie+EXLvU7OsLra5fqdi1xaPK3eMSMQqdz7UoOlp5mcUrcaIp47gOu53WAZjxQuujLh+j+X8uYSFFZ/hqMEbXtjj608OOXRG0axLAr/NdZcbfumHl7jnmSGfuWcDS13Lro0JKx3NdFsx1fRoNTyadUstMAS+IdAJWjmpJaW7BtbiElZGEBtJnAjiWBDFkjAWRJFkHDnnJYyE09QhjKOEMMqkiAskw8gyDp3mHkcwigTjWDCMBL1I0IsFnbHBhCNu3LHEL/7YIq+7BTq9GQbD4zXrtf4olu2/E9tNHzvw+J8mV934N7+7AT7XRo7GvXdfOHf6t84cO1HbNaVZGktWaPHpb0rCUPP9r+jwjld02DAV0RvW8HTA2EvwQo2nEzxP44cKXysCz7FN4KcXJT8UUQxhJJ2DEBe2X5wYksS5C4lNnZLULRFCuOBVCrQW+FoQ+JJaIGnWBe2GZbpl2DQ7Zn6mR2xX+ejXJb//+Tk21mpcv1Owc4vHZVsNu7as8IlvWpaXa1y1WTHThlYj4sJxycWVAH+3Y7r5Kcn0NBw6ZlnpGs4v1rjyshqvurnHZ79WY64Fge+j5DTX7RH8xJsu4smLfPq+GZ49U2NTN2LjdMxUU9GqKxp1ST3QBD4EHmhtHcgFSFECOe7GTgwkiXABYSyIYogSJzOiyFl+UQroKDaEsdPYWTA5jlILMhaMYxhE0gE7hOEooh30+IHvWeCdL+/zqhsUq90WvWGdwbBGt3+2Zr327+LVNcL7UxzPfHcC/HOf+xzGJD/84MNP/9tzZ06259qS7sgCBiEkq6LBXY9s5pvP1Di/ssg/eHuP2XZIPajTHdTwtI/vefhhgq81gZctrdIFo7F04I4dyKOUleIYogSSNKo3xgVcxtishzMFtwO4UiLV9Q4gtQAaNUOrHjPdipmfHrJhZpVvHAj5o7vrHDw2zWVTHns2w/bNPts3wb6dXQZxlwf3t6krj/kZxXQLpltjZqZifF8jhLu5hmOf5W7E6sDS6cdcXPHZubnFi6+6yN0PDTh4pk0jiPCUjxBT7Nmm+NuvWeSWfRf5o7tbPPj0NEt9zcZ2zHQjplGT1GuKwBMEnsTzRB6ky/Qzkt7T1qZ2Xgr0ODHp6pZai7EhTgxh7EoAotjmK2IYO1dmFAvGkWAYQy+S9BIYDA1JNGSu3uUnv2+Jn373kJpfY6XTpD+sMxgF9AcB3aHP8rmzbXz/P23YfLV/912f//3Xvf5N330A7/W6SCl/7POf+8z7FhbOzzVqithYEuO8WjAoJMuyRmek+Ld/7rH/yDJveVmfV9zQZdOGMd1eneHYx/d8Al8TRtmhcoBHkSSM3bIbxamnnZBaf6TMLTGWAtwuSZkyN2jlEia+Z6n5hnotplWLmWmP2bKhy4XOgN/4lMedD8+yvNLkinnBzo2CbRt9tm8U7N46QvurfORezdFTTfZuksy0JFPNBCnHnFmwBFoiBVgrCCPNro1dHiKhO1CsdC0Xluvs3V7j+17R4WNf9jl+IcDTEUJ4GNskiiU3715h19/scuejAz585yyPHG+ybUawoZnQrCXUfCfbfM/FKlqRWqwir8mw2DQrjHNaEgf4DORx4iSd89EpATtNHiUO2I61YRAZ4n7I9g1dXn7zKm99aZ/X32JRNFlcbjAa1xiMfQYjn8HIYzjSDEPN4sXzc7q+4/3f8z1vVt1u5wPt9v+ciVv/UwBu7SJg/u6Bp+5/38njBzYC6fLvKvKyhIrAIIVgVfj0xjN85J6Ae57qctO+Ln/z1UPe9OJVNkwHDEYBw7FPFHmEsUcY6TxQimPnZUdJpi0lSSJIjCi0thHkqsQ65pbCJYpcssjge4bAT6gHMa36mA3TfYbRkC8/Zfmzr07x4NPTzPge122zbJmVbJrz2Tov2b4p5PJtKzx5fMinvj7PlNLMTwnaTUG7EdEZJHz+mzVavkUIB6zhWPOW28d87gFXE9PpGy6uaLZvbPG2l/R58ECP/Yd8mkGc5gM8jGkwCp3W/9uv6rB3y0U+ck+X+5+d5uRKnc1twVTN0vANNW3wvdRile5GllnZfAp1k0o1Y4oVLk6BnnnZUSKIkgLYo1jQjwWDxBXARWFIsz7gB163wrtf0+HmvYaNMx6DQZ2VXo3ROGA09hiFPqOxc8jyAjZjeeqp/RuNnH3f7Xe81Bw5ufp7e3ZO/9UG+OrqKgePDzh+OvihY0e//GtPP/aVuZNnEqLYMYiSAl+nAHe3AkKAloZASrpek9PdgLMPNHngqT4fu77LO1414PW3j5ib9hmPXa1FGHtEkZc7AnGiiGNJbCRJUgDc2JS5TVFTJoRNg0pXx6G1wfcSAj+iHoS06kMShnzpUcmffGWap49NIaKAy2YsW6YtG6YV87M+mzdIts5H7Nzc5dRCj9/+TJN4XGf7dsF0S9NuQrsRIbyQ7rDJdMsihCtBiGLJbKCITUwv8ukNEla6ijMLda65vMV7v3eV9/9pwImFJlpF6Y2hieMao1CyeS7g5iu6XH95n2dOnOHPvlrn7kemOdup0wwULR+ansXXFk+Bli6dL0S1us4A1ribLjGCxEKcCOefJ8J52olgmAiGCYwSSxTHmDBkrjbgDa9e5V2v7vHS62LaNU0UNVlerTEKfcLIY5xav6NQMw6dGZDEAmtd+cNguMojj961ccvm8a+9/I6XxdYe/cNBf55mq/1XE+DD4ZBr9jTf+uV7Hvgvv/+nX2sP+gM2Tnto5S5sJgcCLdKiKYEUFi3Ak5ZACXpKM4jaXBzX+PQDDe59esCLvtjnH35/j6t3dtk4rWhLTRj5hLFHHOsc5A7cksRIjJWunsWKPP3umNuglEUrg9YxgR/jqZDuMGKhG/EfP1Hj2MUZHt0/jTU+c3XBxg2WDVOCubZibtpj05xk81zMtvkBc9Mr3PmY4ZFnp7l+u2CmJWk1JO2GoVkPEd6YINBo5f6+tZAkkuFYMxxFxEbQGxp6fcty1+P8Upvb9vV58TWrfOSLNerLCi0jB0iriROfMJIMxx4bpmvcsqfPLVf0eejlZzmxIPmju6e5uNrg9FKAryRNT+BnMky6wDMn8kyq4Jg8toLYQGQE4wRGMYTGQhJDHKHUmG0zQ67b5a7HC69OaNc1UdSi0/MZRymwQ48wVoRpXmMcqrwkIjGuiC7wYecWydxUj3Dhq3MHn279ly07X7QSR4NP/WVi8i8N4AefO8TmzZvVxz720SuefPpg26PLbMuD9KIKAUoJPJvqQNwHzXVwDL6EmoKhEvQ9j2GsWQob3P3IFN94dkgzGPN33thhx1zMrq1Dbru2hxauRUwIJ1dcVtLVSltbYm4sQroCrXFkscQgY545Jnn4gOazD7Z45mSLMG7Q0or5umW2aZlpWOeDtzWzU5q5acHm2Zit80O2zK9w79NjfuezG9kyrZlvQ7upaDcFrUZMPRjzjecUo1DjNUnPhSCMJTWtuHHvkAeemnaFT8OE1a7H4mrAhcUZ3vumC5xeXOKBx+fxJCAiDBDHOgWRpD/UzLRqTLebvHjvgJdfP+BvvnKBA6cMn3uwxoMH6jx3tEksNOOxYhAplJBpfU858ExzAtYQG4s1Bk8kTPkhNSJefFOf3VtGbN8Q8Z7Xj6n7imZNE0YNOj0H6ijSqXxUqaOl86x09hyl8tFakd7sgu6gycJKzLGz32xv3Lp4xd/4G9+vThw/kuy6bM9fHYA/++yzzM/N+A8+9PCPjMbRv+11lplr+8RJEdQI41jbqqxK0EkFB3BXkqqVxUsckzcSGGnBMNHpUaPXS/i1j8xg44hN8yOu2TlibirmHa8asnNjSBSJVG9LKDF31rYppUFIwcfvqfPkkSZCa06cbXDmQoNaXTEVCKablnbN0K5Bqy6YaijaLcVMSzM3DRumYzbNjdi2sUtiV/n419sM+02u3G5pNxSthqRVN7RqMZ4XcucDNcYDibfRdYtmEqVZV7zhRUO+9pihP5b0hwndgWa1pzm/1ODq3S3e8dIujz7T4MRyCyUNEKV62SNKHCuOQkl/pOn0fVr1Bs36mKu3j7h134hTFzscP7eK9hKeOKr52FcbCJUWrglZvYjWAAasJQoTdm2KederhmxoJ+zbZdk0B0nsMQ5bxLHrmopid8SxJkqcXIwiRRgroki6OCkWuRkQxZI4synTZOsolISRzyhcZn5T9G+fevLRwZZtu37/uecOhHv3XvVXA+Dnz51mdWVx76lTp3/jkYcfklJKAl+hEpteEIvJNGBa9SYz/zl2GlEr61g8EUTaWVR1A63EEiaCsRGME4+x8YgNLPTbfPVJgyXhLx6MECJxF8m6iwSpWZL+UVeRKJFKEUcaaTSelrQC2D1vaXqGRmBoBNAIBM26pFVXtBuaqZZkpg1zUzHzM2O2zvdIWOE//rca9z21kT1zMNNI2bshadVjGvWQZmNIvd4gUBIlUw2OkwNR5DEaCobjhN5Y0R8ZekPjWuaaPqcvTHHHNWN+6p0X+Pcf05xcDRDCYG2ESSxR7BFGktHY1Wi3hppmzadRr9EIGtSCiFY95OYrQ3wv4oVXxrzn1QO0itMkkHH19mVRnko6YyRCSAJPAT6jsWZpRbu6nSSLedyzk4euYC2KXSyUBf1RJF2gGrvgP0qyqk2R2rbudWblPvbowzKx8jdWO4Ovj8ejp/8ysPn/GeCf++wnkUrWjx8/9PZjR4+Iek1jrEhPogO3NBaTZKC2+aEkxBKiOMskun8fJRCrNKo3qZ9tBLGxRKlGjI0kspLEaCITkKS2V/mRZykFaCFcplJBrW6paUtNJQQeBBpqvqUeCOq+pFGXNGraAbwpmG4ZZtsxc9NjNs722bpxid/5rOHDd29ix7RiQ8vQbipaDUWzAY16QqsecW7JcORcQM13qxRklX6CUajZvdmwecOI7shnOLIpi0tWe5pWvUarMc17Xn2Ro+fO87uf2oaWGoshMYk7F7EL3oahK4oa1CSNkaYeeNSDhE7PxRi+l6QJswQtXaOElC6dL9KDvP5epCAXdExaZWlcXOPimyLWiUvPcSKck5Vatg7wIrVvRfo9B+YkKUDuXrvEUxjBI488Lvbu7b/9ij27j3z6U58cfu9b3/adBbj2fH95aennzp+7+HNROJaBL4kT0vJWi0xSgEv3LJPUopMQC1dopWSWdHDPXmpVJal95Q5LYt2JSLJkhQVjRR4olTU3kGbyXGClpUFLnAxS4CmBp63zjbWgFkhqvqQeKOo1RasuaTUsU82E6VbMbHvMhpkBOzct8eBzYz5yz1ZmagGbWoZ2Qzhw1yXNmqFZi2k1xjx4EJ440OCKeZvq3iJtPhwrXrjPcuXOIQ89Pc1gbBmOEvpDnYLco1GrU69N8wMvW+aJ5y7ywP7NYBXGJK4cNrbEkc3rSYZjTWNkqdcUNd8Q+B6BnxBog9YJnnYlxkoZtwWLdKXBrv6+1E6SB+ciPb8ZyF1DRf7aiBTkIgd19jpJLcY4/zq9vqlLk11vk193d63H0UguLV78v6baLb/RaPwyEH7HAD4eDeV4PPzFOz/3p/9k0D3nB55HYpyujhNRMHbG4KbE3olFSfehVOKaZ7UBk7ia8MRYTAp4Z2MVqXZn/ZEnb0qZ98qKm6Wqs0BWyTRjqSgVbbnsX+AraoGiHggadUGrbmk3EqaaMdOtMXNTQ7bOr/DAwSG/+AebOHl6mss3GKYb0K4rmnVFswbNWkK9FuF7Izoji5IKT1mkLN5ZBowo9mnXIwaxYTB2+/MMRgm9gaRTVzR6AbWgxWWbI37pRzr8yw9Jvrl/ExaFsYYkMcRJnKbSFaNQMQwk9bGi5ksC3xL4ikAbPM/5/VrZtNw4vQ6pTBFZk0npYdI4xpiC1bO6+cQITJ5vcM5QbByQk0S4FTcFtgNz8bpg7pTA0iRTYgyJsRw6etpPbO1nfvRH3uMNBoP/s9Fo/A+n8/+HAW7tAtZ2f3n5zF3/OOBQbdMGyWBkCCOZs3QiKTxpaYmNRRlLIi1GOTmSJE5/JzmobQHqJGXpFNw5W6dloNnBBMALrU+lScLVl1OU22pX0+J7ilrgRjLUA0uzZmg1EtqNiKlWyGx7yNb5VR44MOBf/v4GDp6cZdesc1hadUmzIR171y2NWkKjFhElIX/8xRZSKTxpUaKwCY0V6bLu8bdft8Jdj4T0woBBCvD+UNHrKzqBpuYHBF6bfTti/tWPLvELvy+4/+lNGCtJjEurR7ErNBuHhnHNlbsGgaDmCQLfZTZ9bfOMrVYGqdzKKYVFZM9lhrAZyMkZPZswYLLXpqynRcHOOUuvB+oC2MZkwC6yqGFkGI4MX3v4aC2uf/X/+MHvf404eb7z8zs3/49lOv+HAX7nvUcB8+KLx75av2w2YTCYJkkk2GI5lkkKsPRDK5PKC2WL4idVCkSNrdSNZO1XWbImY2yTNSKXgJ09MoBLAUK6+SGyxN5aZ3UnEs+Trn7DF9QCN/OkESQ06w7c7WbIdHvI/HSHBw8M+MXfm+WZExvYPiOYa5akSU3TrLn6lXotph6EeN6YM0szeEqgpEltuSLITBJJHCu2zFjiOKIb1RimbWDDUUJvJKkPFDXfw/dqeHqKq7bH/Ku/u8A//yA88OxGEiMdwBNLFCcpkxvGgaEWSka+yiWY54GnnURzdSoWLUHKzM2yeWHWBMadXCFbNUVOOtYWwaKxKZityFfe7DAlxs6uaZKUr3eWPXU36yiEUwsjzpz9cr0tN71YSfmt4PiXC/BPfurzbJui8f/85zv9zVMJzZt9YiOdO6LcL3UgE6hUXihZRM0mZfTECvdBU01t81qV9GvrXlfkiM0aktd/SFEUUUkJUooc3Eq6WduFPIGaB4FvqNcs9cDp50Y9ot0ImW4O2TDT4ZFDI37hAzM8dWKerdOK+aZhqi5o1SSNmqJRF9Rr7uZwqf6QB/YL+iOfmiJNl7ubPmtCSIwgijXNmuK2a3s8+EybQeRkynCcMBgqeoEi8BW+56f6eZqrdxh+5ccv8rP/Fe7fv5HISCJj0mbpogFh7EsC3zj29oo6eq2yg1SmFDJOplne9UFO3gheXA9IMvIx7nW5kKt4tjlRlYnMHcX3shIOKWHLrGTPXMiRp+/y5cw7Gg8/cNfghS9+/f98gD936Bg7dmyf/tjHP/Hb22bCl40Hbg7eVLMAGMqmAHMfQGU1IbbQ1DZb2pRjdZszgU2r/kr1EumztTZnbqyt6m7hygGETMGdFhmpHOBpokk7JvM98D1DzU8LrIKEeiovWvUxU60hM60ujx8e8wsfmOGJ4xvZPK2Zbxim6tCsCZp1RaOuaOTsnVALYlqNEfc+4bPaqTEzU6TJM8Bky3mUKDbOKV59Q597HzauiyY0JZBLap6k5mk87aN1HSkNV++wvO/HL/Kz/9Vy/8GNREYTZRWAic2ZPIhkXl3oa4lOG0a0FCidnRvy95ffhGRpfZtDPUsITR6m9Gzya0gO3ux6mhJx5c9m4lob93cbNcGmOR8bNXjmiH7Z5Vcc+eDLXvXWv7d48eTqho07/+cCfHHhAp3V5Z89c/rUu03UZdOGGhZXdabTEQYSsNKmTD1Z2FMscWbye7nWy9g6XQqxJQYpUQpFKWhWZ+H0ZFHjrVRRIqAVrj5DWzzPNRbXfEPNT6jXYhq1iGZtTKsxYnaqw6PPjfm5/7qBx49uYuO0x8ZGwlTDpuBO2bsmqQeO/WtBTCMIic2YXhgglMTLGDzX4CK90Z2lFkUeTX/kygXCGjMZyEcJA98xeOBL1+Gksw1oLdddZnn/37vAP/stw/0HNhEZzTgRhIlJWVxQiwyBZ/E9ga9NunrJUp+rTM+PyCWdLMUvUAC+EutMgLsAqK3IyEkAm5L0tKVVuri27obSyv3tiyuC3mAV5Z1894H9Tx+J4+if/09l8HPnzrB589ZdH/nTP7w+Hi+xcTagFriBkEplTFWIhwKg5a4Sm4PZReeO1SfZIJciJl0WbfE781OdsXY5qMyW27RDJ3tfWls85YDta5tXD9a8JNXNEfXamJn2gKlmjwf2x/z872zgsaObmJ/SzNcTpmqWVgrues3ZiRm460FCzY9pN0P2H7fc82gTX0o85TprynvdZCtZlChio3nFzRFXXN7nyMk68w0YhdYd44TBKGVhrdDaS21V511fuwt+5ScW+ef/1fD1Z+YZRXXGiSSMLY3YSZbAw4FcZ6uXyXtbpUryFU5JUQK4KIGcNXqlAHkJnJXVtiwxs2tfBbazdW2el8vWCiEsiRBEsaE/iAkjyf5D54l59Pof+qEf3nXmzJkT27Zt+8sH+NLieRrN9mX7n3noPxCvvrXmDdF1lY5uIG2TcsFKAfCqZnZ3czlIoWBuU9hS2b+fdEpK55iswnkNuNM4QKUlACrNknopc/va4HmGwDMEfkzNj6kFIY3amNmpASu9AV97Gn7lTzbz5OENbEjBPV23tOqCZk3kXrlzXoxjb98BvB6MCZOE0bBGTbmbTGaAyc9LarklkjjWTsvrMePQMoxECeAG30/wPY3nSbRSKOnlAEfAC3YLfuXvrfBrfxpz/4E5znbajJqS6cTSii21dOJA4NnU+8+cFJuzdyZVMoDn7zd902Wc2/J1yABOFeymDPwSoeVfU70pJh2wXN8nCSqydHsdGs2Ft973jW8mN954/f9x+szZ49u3fXt7en7bAO8sn2DUr9+6eP7A2/urh5hte+n4tKKeJEvDl2/4MsDdhc3udFG667PApcj2lQFePCrpiPwiuHEPWW+lzd+Pqxp0zK21wdMGPy+PdeAO/BTcs30WVoa8748bfOqb8yz2Z5ifkszXUnDXnO5upIFlPZA0ApsyuNPetSAEQr7yuM9K5DMXUKnHzgrPss/ssneadqB51U0DHjgY0osCpiKTdrEb/LGrVfe1zCcNKOkhpEvQYOGqHZJ//w+7fO6BIb/8e5s4vTjDcFoz7QtasaERQxC5ldZXbqCRlwWaUuRBcPZcDtTzG1MUAM+BXrpOYEuSxVbIyazzNVBxw/IrnJKUy6OQNk9bHn78IM2pDW/3gsYfDwbD43+pDB6FA7RXv/L00fv+0WDlSWanLJYEm3ftpmPnJzIF1bs8BXcG9PxDi4kTIkonbRLgme4uToara7G5C5CVADgbzAFbKwduTyf4XoLvxdT8iMCPaNWHaD3g3icSPvj5Np+9byOhabOxLdhQc7LEWYCZT67SQ6TMXWbvCK3HfOPZaQahZkvDpjfcJIOngaZx9Rs1T/Hiq4fExgF8GAlGmRsSupFrns4sTpUC0WUf07I1NkwL3v3KPq3gLL/3+SFfe3aO81GdQU3Sji1NbR3IdRqHKJvGJTYFeUoMafyS1WNJChZf//pmV8WuJaYyuEvftyXZaovLmjFX+nds/oyFMFZ89b6nueLKvf/oza+/47Fef3Co1fzWI+G+JcDN+Ainjn6BoDa1tb9y6OW+XGC6VSM2NvdCL/XIwGmsSD+sqNzJFrHu6+L/FWs+vAO2nZAmNvdxlTQpwE1a852CW7lajMCL8P2ImhfSaIzw/QF/crfmV/9wI0cWZvGCGptbgtkgoR1YmgE00w77euCynbU0IeTqV5J0JXDyZLGb0A99fKXwpc0DzOy9WwovOUnT22HsUfdGbJ4esjpoMYxEOm7NxQqel6Q2n0rtTpX710Xg6iof3/rSPi+8ZoFf+aMRH75znuW4ySDwaHqStnY1OIEGX5E3Q+gs6SPJb8gsC5yf63UAvt61XgPm8mtbMgzKN8KaX1Z9mTVkXFhe5WsP7H95bxBvXVrpHHro6dO86Lrt/98AnpiEnVfccVlv+anfWTr1KK1GQpxExbizNAhkApjVJUxMgLgcNIqJD/z8E50zCSRkxt5l5rbp3MISc6vEgdyL8bWTJIE/JvCGHL8Q87ufa/LJr89x9MIM7YbHbA1mgoRWYNPUewZumYJb5kmhWqq9A9/dOO3mmE98Q3PoRJ2aEi5jmDkoFCjPA27rdHgUa67aBW9+YY8PfmGOfkPTjiyjyBKEadygDFrLdLIXJZB7JTS4VWHnBsnP/+CA63ef5r9+dpaj56dYjusMPE1TCRop0H1p3Y2TukwFi9tceopsdS5biJfGY+ma2wpDZ7qbdW6ASZlSvlmMdcmjOIFRornz6we59vprf+cNr3vZGxeXu99SqjwvwJdWx+iaz/7992xP+g/tmQ7OgmkTxeSVZFkxjnvzorT0iNxOyl+XGTv/t8VFh0sDPHNnCllSlifptNm0xkLJjL0TPBW7zh0vJgjG+HpMLwn5jY/6/N7nNnNmaRqj6sxOKWZ9y5RvaKTM3cjT9zKtU0mlSeqd5+D2XfZyHIUcOh3QDwNmgtTFyZJO2dKbXWRbqkmJNO2mZvf2EBWM6IUthr6gns4g8VN55aUSRWeuh1CXCF4V81MD3vvWAW9/xXl+73NdfvfjcywOmwx1jZpWNLSgrixBbB2bSydVtCxszWxVzJmcqjxc77HGTmQdNp/4WV7gVfr/TW5MpI6TEQxjzdFTPZ459NiefZeb7S++4Y7j1g4Q4tJS5XkBbsJzdLpT84168NHjR+7z5ndCYEKUMmmLmEhbw0QeKBaWnqgwcgHqUiayzOT5TTABbMinzbpst02Dykn2NvnMQiUduLVK8L2Imh/ieyGdUcg3npT8yd1tPv71OUZJC9/3mfMF076h6VsagaXhF+CuBZIgkASpNHGJodSZSAHuey7zeeyc5WuPNAgjj6Bp1wSY+XnNNbirzAsjhedpXv3CHh/5Up+Dp5sMa240w9iz+DF4kcELTTrGTqQyQhbDfTKAZx67kTQCzabpIf/sBwZcvXPMh+9u8fD+KRaGTUbKx/M0NS2oSwhkaqNm9qpMy5sFlYP1gL6Oy1UFuqiAe12w2/zeL7lraU2Ldf2ho0QQSo+77n/Me/vrbv1or7dyw0q3u/B8GH5egG+Ym5LDzv5bg9GdU1ftMBgjCbzIASitDXZetizpa1GSICKNlCeZXay5ey/1qAK8VBgkTMHe0qR2YOIArpJcjmgd0elH3Pe04A++0ObuR6dY7rSQ9RqtumLas7R9Q8OzNHxL3Sdlbcfc9UBS8xU1X1DzSSv0TApu41YGP0bpMc+dhjOdmkuspPq2mjgpLqLrg0xLTo0bgLSpLbhyx5CnTsYMIi8diQZ+iAOfSlKJkiVqQE505mQ3T2ZDRomrD3/Xq4e8/kUrfPmxHh+6s83D+9ss9Rp0pE/f1/hK4EtBIF3roJZulzolSowu0jojuKQuL6cpqpZiCtzSz+w6wM+Z26ZN0NY1QI+NYGxdn8AjB2q877fvn/qxH9C33n7zFV/geYYHPb8Gj08GgRf+ljLPNJExSjjGVipx8sSotOCmDPJMmpTZ+tKsXrb+KqDOv3DgLhfniwqwTfqcoGSCn7kZMmKhF3PvI5rP39fiU1+b4mK3iajV8FoebQ1TnuvkqXuksgPqvkgPmZacprrbFwQZe2cA1zG+H1PzQ6yN+MqjASfO1dkwK/CkSZd5UTT6li++KcpPk0QxHHvs2iR49U0DPvnNkH7kMYwENc/ix47Fx5EtrVIq96sRsiJT3CGLRgXj/PZ6MOZdrxzy2hcu8Rdf7/G5+xrc+2SLi50GQ+Ez9DXaU2gh8KTAkxJP2FRqWeewUJKIJYCvp1jKAF+fvUs5koy1U1KMM3Abkb52WVGwWGF44KkTzXe/NfmtJw6evxoY/ncDfKVjWBkO/1a0+vvTs1OnsLF2TaNGkiQKoyTGqnSojsz1X36CKb1eB9BlrZ13vU8gXGCLWuVUb7tnB2yRAlzrBF9H1GoRo3HCwTNw/Kziz744xRcebnNxpQleDd32aChJy7O0tKHuWeoe1DwH7prnZhK6MlNZOkT6c5uC3OQg9z3XnnbkrOGpYwF4XrrM21KKXlSorsxWSdocECdunPN1u8dcs73PgTMNhjVBIxYEkWWsSK09UxknXViQhVbJffbUijRGpdMH3BiHen3MD79hzFtuW+WuR/r8+ZcaHD9b48CZBuFqQBxoRlojlXTpfHBTftOAMwtClSjlI9Yjp9JnhSLQtIgKmC1poRZpVhvyun9jE7BpO6JJ3BFZlla6PPnMY2yYaz4vR18S4IsrqyKMxj/1W394aPrKzT63Xhlx894xvhJIJYkjRTjWJEZhcx0u07LWKsApsXnZSSgX8mQDebLTkgWTAEKYgrWFSQGeEARukmqcJJxfgi9+VXPkdJ17HqxzZqXOkbNNCAJUQ1PTiqa2NLVxLoJnCbQbHB94pCDODpkeKgU4qeZOwe0lBJ5jb3djhRxbgP3HG3iyag/mEoWiHjxfivPmAZn2OXpcs2vIlRsHPH00ZhB7tCLBWIOfzgRUJYBLKRBSVpicMhuakgxK0r+RKKLEY+z5tOshf/t1Y156fZczK12+8pDP0VMBdz3a4OxSjWToYaQm8hVCSrdSpJsSuFVVFJJlHTbP5Fh+402weQF4m7ouJQM9769N58VFBqFjpIp50dUjbr1yzCv2fXXDa1730//on/7Q4fcL74p1he4lAf6+D36WOI75+Gf6kGxm9+Yh1+0e8/JbRlyzO2bLTMSeXSHaSuLIsbgxxTD5KnsXrF5os/U97hzc2EpA6aSI09dekBAllqOnBE8dVXzxwQZPH/N59lid7jhgHAbg+ai25zr0FTS0oV7ygQOd1WlkZbOuLjxIZYnvK3xfpjeALbS3l6RD953Or/kR1oRcWJaMbYDWEl+6WS95wqRK4DnIE1vtdwxjD4FmfjZEqhH9yGOghXM6oqJgTCtTyUBKUTba02FHCKyRBZOXeii9ROXjJwZjn80zITs3Rdx8+ZhhOOTvHOvw9HGfLz5Q46ljNY6erBHFCgKFlQojJJVsUAbxrECrdFGzJFDhI5eWmRz5WUd/VmqasnZk0CTsuWzMtpmIq3aHvOLmMdftjtm1CQTnmtHql94dod//38Xg//lDd3Fhqac+fe+zYpwEjMM2TxwLeOpoxF0PhUx5CTu3hVy3b8zrXjjmlTeFYFydQ71J6o5IhHWjeQsWB2uzfTYm/qhwV96BwaC1m2MipCEKLYOR+9nx05I/vTtgECkef7bG4VMBi32fceKD9kF5qLbCl4K6goay1BRunJlKC4+UY23fEy7pUQa3J/FTWRL4EPikrolLmXva4HtxmhGNqNdCLq4kfPH+Fp1ewMyUQKdevCzhYPKRZfTygNBIxmPFhjnF628bcdfDQ052mgw96WSKBi+2eFHmWaceu0ycXUh51onM/4axuvQ3HND9RJFoRewpokQTRV5qpUY0/YiXXhfz4qvHvO3lI547JXliv8cwVHz4iw2OnfdASAZDTRKqNN0psboAuK20BpU+sKDE0O4QMYh897yEesMl5AQJr3pJyOtuGXHtvpBd2xKmtGCuJbDW3ZzDsUd3+bDQzVvV4qm/iDfs+BvfHsCttczPNn+j0xu8YCwEBDUwGmNiFoYBC72EY8sx9z+d8NEvR8zPxFhjuWnvmHe9ZkQSuz67+WnDjdeNadQsGLE2EKkwuEO9lNAZCJ54TLPUdVV7D+73+MzXa4wixShSnDvvY4Qmsh5GeKA1ItBoKfGVoC4tNWUJFATKEijrasB16vnqgrn9rC8zB7dKezRFzt6+Z/D9rEArydnb9yOUCvnqY4pPfrOF8rWz2yr6+9IMnnnhTodLokQxGnm85fYhn/pGlw9/ZYp+XKOZ6nAv0+FRlpSxebeQENmdlJ1nWdL6JYCbtAteOyb3tCLWGh0nDugqQSk3SH+mFnP7vpjb9kVYMeYdrxwwitw4t09/PeCh/T71QLDYVTzxjE+3LxGTnijrXXRXWtusWW68IWTDdOIaXxLDO1894sa9EdbA/LRldhoUEotHEisGQ0Vi3AiLKJbEDF7gT0//Btj3flsMfnZhmS0bZto/++/+fF+3O1Igcv2F9LDKLR/GJIxNwoWu4cJqAiQ8d6rJZ77qlhubGKZmEm59QUSrZlwE/Hx+YLrESSlY7Ssefsqn21FILRkbydhqx0xC4+YCa4TUSCnxpKCmnJcbSIMvS2CWxYw+B3JRNDxo1wiQNR6Xwe0YPi2r9TIGT0pHTKAjrA05s+gTjmsEUxI/TXurtCqvksXMOnoo0usFyJ3tGkYeMy3Fjg0hvhgxjAOGsaCu3RDMrIYkS2gpWS5vlfnfylZLF/ybUrmySXsmC2kUx0maFFNpiUNMFCeoyI2Z0CpBqpjtG0y6Yhiu3jkitEOkNnQ6goef8lgdONlUKUG8BMiNgWbNcOsLIqanLTadWVhPYwubSd5QEqXS1/Whqlx6gaURrKqGf25fMP/etjULXSHnnx/gJ88sc36h8/5vPnnslee7Axq+jxIu4k2sILESY720iCZt4Uij3NgmdEg1lLJ0Vy3nvmoK2rpko1m1+NgKicm2XCB9FqoIcqRECTdzL5Au5exLm25BYtP5JwXjZeD2tOuod1vvkYPbtXW5LVEC3w0IDUplphnQfe32BPJ0jOdFBEHEqUXDH93VBO3jSVEEmLk8EWsYvJzFy4aEZu5UkjiQv+f1Q/7i3iHPXmjRTzwasduU1lUB2qITJ92TJ/9b+WpYyiQbWSrwyg6T18JorfCShEiZdIcNlSbOksKCVUnuXsk0HtLCImzChoble+4wIEweO5E/r6fPMqNBYBMfE4k8ZoiSLJ5LbWdT/lrmJQ5ko/+iPvHwwCv16PD7sfFPfksG/72PfAUppX/h3CrzNUWgnA9tcFZOknuTgtgqEqkw6FIUbChHwolX0lzPy96i9CzTZgYXqWXRuhbgiZSVhZMCWlJ6zppqS4VEmtIcFAdyXxdd9QXAZS5bAt/mLW2+b0qDc2K3j5Dn3BMpQ06cFyx0awitCSQVeSJLHyv9lBPZOlEFXup0hLHHXHvMrs1DDpwfM0w0owSCROAlFi9OdXhM7iwVmUVVJYv0hnKTdrOGblGSRgadGBIlUTrbvjxj8mxIUBnYBiWyyVgmT7qVcxSINAoQWY/OJH+TxmkTJkS+qsl8FovNQS3Tr0WRb8EShoph1MUffs7t3vutAH782AmEgFrSZ75mQZg8M5nkR9owXDHjBQlgrCplrCz5oGRb+Xj5BSh731mglBX4uIlUoIVNjxS0qQTIXufPaYOBzktByRtsfSUc2Cvglu7Zz4CeBZ/k2xP6aZNEJlE87fSp70fERHzuG3UuLNTxphR+Jk2krTookxe5pMGLEQxF0mc0dhNs3/SSPt94ckQ3rjHQmnpsCNN0upJFQVSRZTQUnUNZoCkqjSXGpDNVLCTK/U1tBLES6ESmu9i5socM6NWEms3Hvklh0oIvWwK7u4XzUleKczCZxi8y3TK3lbPMeDGmogB7dq6sKWxoYy0MQY3OrKsQKgD/oz+7m3arfsfHPn3PCxcXElRQtBkl6S8z6Rzp7DCl59gWKVZDevHKtSfrcXcJAGsSCZBn0WSaSdN5xVs2tLMY3pmNQigDO5+DonD9iOsBPAs4M92tM1liU71drSX3vQjfCznfMTx6uA7aR6fyRJcKlCrZvnKQSVoDnzF5NnYhyzomiijyuOmKMXPTQzorDQaxoqHAi91nUUk6PCkqAzzNGeR/SK6t4jS2WOqVITECzwgSJUmUIVGCOAV5LIvitWwUX1atKVOAC2krWebKpKyyFC+1MmaFd1ktUvl1ubYpSxwmFXDLFIPZzwTWKuqq+cItl73yjlOHX33fjiveuD7ATRIyHNrv8ZS5URMS1HTa0p/OuLDZdKnsWeSvc0CXyiSzLNW3AnjupFaAYdNAjVIJZ6E9pcha0oriIKVIp9S6f+Mpgcq7VwpgZ823jr1Tza3J9XZmCTrGLsDtpfpb6whBxGe/HvCNp1vIQONL4eZv5xWExecpMn2T2czyaLTME1ckRjEcedx27ZA3v7TH7362RZgE9BNJLbGM43SlKq8YwiCkTFm8/KcuxeRgtEyvryBRxrF4Bm4l0FKmA4IK5s5BXimZSJsvcqAXGU5SoK95rKlLWmdkXC5NitduopZM56+4mDCKYoQnbhyNRt9jkuS+dRn8xMnTTLWbr//kZ770g73VRdoNhUWkU4fIGxyynQDcHIy0gVRmbF3uyyvZ+5esEkwvQYnpBAUoynXJGfBVaaZ4AXRSBicfD6FlicXTbhhPVcHtxilMMHfas+mn7W2ezhoO4tIRERLx519pk9gAlWcvywFm0deYORsVDY4ozXxJl+DULnTBpkbg8a5XDfjjz41ZNRHDpMYwEXgxOYtLaZGxSAvPTGoXTmpRSWFNihLIBYl2NR6xEnjKkGg3ZUwnkkRapDIuXS+NC+4zQOdZ5fQ9QAXglIB+qUc58ZeXd+S9uSIPKIubPys9EHk/QpIIokgxvNChNj38wauuf9U9y0tn75qd21oFeBzFjMfRFeFouCeJ+rTqfrpfiyCWuJFrlbFbWSauGMqT9+Sl7M3zyJM8DJroGMla38psXq5LLjpPsq+L2R7ZnjTlLcArw25SYGslCicltwNdx71rTLYpcxcBpi6xd+CFPHpYcuhsDas8lJT40qDLN2VqE+YO4YSLkh0mO4eli5k5KlHssWdrxDWX9/nmc3Ui5TOMBTXpBpTqWKRFUGkXTpzqcCROHE7KIjER3BZsrlOWVMamUiW9YRM330YpWWFvx9yyUpdfYXCxVoevAXil0nQtk+dMXZqHmOQDPssTbQWD4YgNvdGeKAyviKP4rjUM3umsEoVjTBLSqLlIPIxBxmlGLinYPEmnwap07rcpLX/V4vYiUbsuwEsarZwUyUCe6UpZYupCsoiie16Qd7pkTJ7te1ne/jsDeHn4j+u2Jwd2nq3MmTtJtwtPg0sdYYn42FcaLC3VEYHGl87dUZP6ezLArPjgxWSBch137k0bRRRpNsxK3vnqHo8ebjNOagyUTz1xWrxSzhqXSlnTbRpFXvGRSpUJPZ7PeyxNodKGlC2zFSkdCWKy5hJZkSvFdbKVa1YGeLWILvVVSsQ32TNQ1t9F7bzM/ftsYm22bWQUCwYjyWpnzPLyCmE4WitRvnDn55FSsrK8SrPhdmdwkXEGrFKns3En1shspkmVvSt1vpewQvMLX65Iq4A7zS2VwKIqQ32KmYOOtYtnB/J0XJuuAtzX6QAgL9s6ME0KaYuXp+JN+jqpHFq5zp1nT8BH724xlj5KqjR7WZ3JMpnBXNcqy4Be0eHpcpwo4kQTJJp3vm7EH3xhwJNH60TKYyAlfmJS90ggkzIR2LS9rJx3MOnfqu5bVGbyAtzZpN8s3jHIJBsxUXRP5X2bsqTFy3X7+We339Y5qDJ4Nvwpm2YLJsk2GSuBOyltBBx7PHfoKKfPLmBKdqEGuHjhHPMbNzc+9Acf3N1ZXabmK6K4VMmX3nVCWKRJ2TwdyyZlqUYmkyapQ4B9fvbOlq6y/hZyPZCLijzJ6qzzcQel8QflqU1aZ0BPtbeaAHeWvveyxmTjZobkLWJp4kPH6RGhvJBDZzS90AelU3liJ8pjJz7XpItS0sM52MqpdFNO/GianmDfthFPHgpJTMDQ+NQSV7OtUw2uhNus1dmsGWsasiCzYPKSDZemLXQ62SCbGKvSYZkunpHpmGtLUdxVzMDJ5ErO3hnAZTnQzK71WjRMtizm+rtUbVn27cvsHUYi3RQYRiEQRWzYOL37h3747za+7/vfM9iyZYsD+MryBUbDzuu2bZn72WNHD1ALFEKYrGogL2kUFCdPGIER6VgAWa2vKNcArxtcMiFRRLHldFY/nQGlOhyyaCBw5aKl5xJzy5IsKe9i7ClSL9yB2wG4GAqUMbinJ9g76+v0Q5Z7hv/831osDWuIwHPyRJbcnfKgn2+Rsc7PlUnb/coBVZq6j2NNu6H5+9/X48uPtlka+4RSM5QSP++hLN9c6XXKa+lNXkZrMSm4DRZJ1Vlxv8tYizIuODcWpHGyL2vqrgK7AHu5TzYDe0Zg2Sqdfz1xDlKen7jxMwZPk1Tp3Pg43S0ijDOQu+3Rx6FlMBqytzH9s8/uP3jfaDj8i5zBF87tx/N9ht2TNIIY8FN/25IkEqsM2XAXm568bAJRtslqZg/mrF3WWJPALoG7AIKoLOtrAF6aFlsBuKoO2VQlUGsp0akk0TnAM81t8qDS06YE7sR14qsqe3sqwvdD/uwrHs8cqYP0kFISyJKdKaoaPPuAl6wmLLG5KenNDOSxcS1ncexx3Z4Bb31plz/4Qg2jA4bSJ5CiSPpMgG2SyUWZySflQAZ0Bcq6VcFYgTIuYDdpnJNIgUyH+WfBtMgTTmnn1eQAqFR2Zj64qICgwAqUgE1ZPpULxbJGbQf0fKPayHU7rXRHPHPgGIMRhKHbGEIDBIHC81Sa0bNur8Q4vVvSbJeUFmkFCpt2qFiEId2eOn1DZWDnsUR2kkUF7fks6kmg5wAvs7go6dsywJ08kWVwS1kAPE/0ZAC3bk52KkU8VQK4WsvcWjn29rSbWrXSMXz6qy0WOwHUvAl5cmmJgpiopMwv6Dq2XbkTJ5UoUayZaSu+95UDPvWNEUv9gFBpholM7UlRtJTlDJqd8UKHW1t0/ZiczYtZkMqmOlwJtC1iLJWvlI7dpbQO7JXxEqIAPDatKszOg80zrCIHu8hPRrW7S1TeU1W+lTZUSCeDxbEb/BpFhigygEJpD5k4SaaPHj1CqzV92YH9j/7UyVOLaK3wDYxCkc/CKABnsSm4kSVf11rkOsztPlA1uVHYgyWZUkrPFyAXa2SJyE60KMsTUXS4pKytysBWxV70OmPuMrDXkSdal5M6MVq5zOWx44LnTtQwBAjp3BMtitKBqoNS7XbJaLxci1IweSlNXd70ybj6izjRYDVX7QrZs2XE0oE6NvEdiyep519ycXJQUS70SgV3VkYLad2QoAg+wcpidmQW2xiJ22NJChJZdbPylTUPLIv9TzMwZ+/DnYYCBdl/c26vrGoFm5e3ZE9K5U5ZzBfHbmS0lIru6kU2z1/3U7fd+rLHX3v0yHHt6wQpxpsbQfJ6ZReYagaApT8URY2UzYCYMq8UiLQ5Ye0MlAkkV8BegHt99i46tstsXYC9OtQ+f1YFg+vcBy8f6ZbWqgzuAuRalYYEqYK9Vfq11hFKRXzumy0OLdbBL+RJ2T2prEKsHRexnkwpbxFi17gppTLaUHP5hpA33TbgoWcbYDzixGlxL0mHfCZVqZRLlfyCZLahpBiMKkps6cBsrcDKdFWR2SFy/Z29zlbwLPYojAKBNDa/sSt6nPUlW3Y+yitbDuLMUSm5LdmtIdJ6lnHodoY4enKBXj9+fac72jwYxsd1s+Yq5Oanx+zZ0UPImIsrAReXPcZhQpwYV9BiS3cnYIVwsx8zr7scVD4fwMvMnTEMpFF3dT51IU1EDvJ8Jsg6DK7K4E7nExbbdrAG2F4+tzApBZcmBXns5ImKqDdCvnlQ8RdfbTIc+dDQaCnwRFWaTAaY5Thj3Quag7wkU+xEwicNOKNYM9XSvO0VI77wjQEPHvSxTY9hEuALV0mpRJofKAV7BWNWQW4rK6vJAW6VY/NEOj2eATxn7pTRZTo3RQhIpJNHxXWbvNnd362s2s9z05f98UrZhy1wJqWTnfUAekM4v2xZ7MJgaFnsGIahoT8y6JrfR2rJTLvLFTvPc+Scz8PPzXHydAstyLVUVlIgBZhUpWStSZX2ukuwdvlDVYdnimJlEAXIy7pO5qCufu0CzDS5I7MlNQN5VjbrBvNrVT5MaaRyMbvQsbU7lHIBpu+HRGHCF+5v8OzJBngeQqoUVFmAWWwFImSVxddIsuw85WyUulRmrReeHZldGIaaq3fGvOElfZ44Xmcc+yTSY2gUfkLxXkpSIWO6SZDbifeCym42g1EClYFLCqwCmcoWmQI+IxkpLDLd6CC/sczkdZ2UKevgo3TTl9s3J6UcFH9HSTfuY3YqpN5Y5jMPCZ6+4HNq1bDYi1nqxei7vvJHCOEhWeSRA4I/vnuaUb/G5XOG+SlXZadkcScKIVCAzTcPhedbhteyd7UBoAzyTOtn7J1rf7kW6OWRvypn7AzgxeTUXKLobE64SZ0UkwLalICdsncaXGoVEfghT58Q3PWNBoOhD00PKbLKwXJNzDpZzJLsKl/OrBbFncDqdN2cwcsNyWkBVhh5tFohb7h9zKfuHfHE0QC0z8hI/EyLG4iSsm0HIklBJoSrmCsXr6qCGbWikC7SsXm2quTJtRLQs4yykC75J1NCzC3f3AsvtpdZs5JXoL32O+vmUkRRTRr4ho2zMbe/IOLNL13hQ3cqjh27i08MHiKKYvQ/+vcgRcQobNIf7WY6UGxqOq2a1ZxUlt38b4hvD9ii+jrTZVX9LUpLWwnY2ckTJQZPv86A5VyUYnikTr/OmFvl88GzkcEZyE0+oLM4XLZSK5fU8byI2CZ89r46X3u6DjUN0jU0+1mavAxqJo7yF+s81uYORD4toXBUZAXo45HHy68b8KY7BjxzokYce1ihGAqNlxTvR6QJuTxvUXkbVSYvl1YoJUrSyY2osFakLF0FukwL7aQpuygly7DE5EDK7HbNSr7GO1yD8gkMpQwu0zKCKJZ0em1m24p/9q4+2juLlBexWPSeDTWElITjkOFwSM1L3IgyLxvwOMGypffyfO8r908m/q278Gu1tyhJkmwTqVyHy2qQmRdaKUpAtyUmn5AkObhLursUWGbOiXNM3LNSEb4X8fhxyUe/0gJ8kB5CKDyRNVnYwg+uMHd2UUV+JgruLiRf2VHJa0JsVuRvMIlIByyJ0j7xGms173rVkC/eP+LhI26SQGQUg0SkBV/p+cGmIyWygK9qz5WZvAz07OZTaYxlVToH0WYMLoqklqX6+U25kjJl8FJ2Og8yy/z4LbiycGOKRzYaI0kEo1Cx0g0YhQpP1fH8GlJ5YC16+5zLSo3Glq5PPmFUa3dkiZR8+ZkE7aXeoCgu72SwVQyqmXBOUmstZ+6KNKlG7OWS2UySZNuWuO05CnBnu/tmrO2p6rPO9LfK9HeM58VEScw9D9Z56nAdPA+kLjU2VC9seXlev5Onyp+29CJvgChnFstp6sT1qLpKOs049Lh2z4iX3+pYfJg4Fh8Ln5EBnWR+uEAkRZkFycRNlr52IJ4AtwSrbK7FpTTpazcWwlqRs3jB3On5sNUAUxoXtyEmMpwTJFnB0ASmMh8909/gtqCMEFgkSeIxGCsEPlLVkcrDWoueaSukdDM5tJT5n6n6zkXpZ8G+2Ylbw9nrBpQFmLMsW8HwGaDz7f8yFp9M05d2LMt2OcgkSdHNU4BbVQLKkhTRxXhlrRKULgE8lSi+jjh0TvChL7QYRx40vFSekLemqUrmsOScVJarS6xytgr0skzJNue6tBbXNAPJD71hwGe/1uTgGXfzJUYxSJSrMkzSbGNWXpGk555y0On+eDmQQznmzt9TGmAqa7GmJBVtemTOmhWpJKkG21I4YzI7PyYjvImA81LKQFBkRAXO2BCiSOu72nBLGAEoksS6RE/K4Oq3f/PXNzXq/r85d+b0VS4gS2s4pMifpZBIVSRY3AdIm4GlyAFbNf9Fyd4TKCEn3JAsWJSpxSernvaEK5I3M2Rg1kwEkqTALQWWue9tcrlSrTUp7f6QNjJkRyJD/uAzDf74rmkIAlA1lNI0lKWu3F43WWWilzU5p61xRSZ1bYa1KOstrUB5LFHYjln1npCkTQdZiap7Laxhx+aQM4uSR57yiYUCobBC4Rq0bVUKlgL8icW/TJPVezBXU5Myxk5ImvXqSLI6m3ViDco39Nr6pWpOZWLWZWkFzAggK74ah4LhWDIYwa49N27ed93tX9IXL5yatnH/jc2aIfA8RlFCErvqsepnr+4zM7kDF5M/o3qXZkGpLDF3OaAse6jlDp4Ki2eta5Vd1DL9XUqZV/R3Bu5sOxObs3VmBWayRKfOiadDnjsr+ciXGyA1SMfeeed+OQ4ov8f8s048l6POUr1O5UKbcrKn2BValzKbruhIkahUiyeaH3j1gE/e02D/aR/SsWpj46GFK6PNz22SQjEpOSiZRCm4nPKeSSqVL8pmz849y6WUyIJN93cyq9Cmck2k/6Z8Lgo7uGw6TMRo67B58ZzhqHSPpucril1VYX8wYm5h9Y2JPTmtZ1sDVDJi27xhseNhLEQYpLF5Emc90K4L5PKbyEFcZY5C6pSDymr9dwZ0JcpSqWhVk5PgngB2eQOqQqY4za1Sa1CVJIoDdgHyRMV85r4m+w8V2lsK6bzvtINmsqt9MoNZZs1JrrSV1xMNyJOeeNbOlvUiyiyF76TK1VeMecsdfY58JCBMJAjtMpw4Ozf3xRFILJEoUOFuvLxoKGVMVz2UsbS05YAzvanT10KmQahwmc8M0HJSh5fI0Uycq/zmnwTzejdACWumdELdfBk3o7M/Sjh7MaR1dsgwGqBX+l2Wex1WBn0QgbtApUgyGylHCcxrgDzB1tk7kuk3Kh8mWw0mmhmqGcwya9tKcFndJrDYC7MCcFlK7shCe2ep93yLk9JccaXcpFrPizh6TvGbn2gzkl7K4NXgsjr3pLohVvVuv/SjMkg1ZcjidXVOSHl+YZIPOdXEiUeQxPzk2/v8t3saHDmrQUVYowmlx9AIVJLdcDbdMa1IdOf6W1XdHVXy55WLKNNirBTMae2RNNb55WmZbabHjRQVgGd1KeV8R4WxJ1i9DPbsaY1mL8XJWTo/S8rMzAzYON9ldq6Gvvshj3MXFMcOWW7aG6OlM7Xchq4ip5s1DJ7fVZPAL0uQ4oNl/yYPQPhWwHbgUaWvK+CWVICdMblWJddErvW6lZpwTSred0g3NPzup9qcuRiA0qk1KPMBQ5NFVRVpsoadqrJuXaBnRw5qO+GiZCn8YsJT3gwhFUms2TY/5sff2uNXPuTTiVxAYI1kjHK2YSJykJeDTUQhV3JdTeaDW1QGoBTcWFztP2mtuHT3RgZuW3JRbNpZlFWbkmJq8tysx9STuZPK8wSjl8+jUjA/Lbn2csuNN8Q0WhH6yi01pnWdcMknigzSl6n/PTksU1R/uVj/e2V2n9Sh5UOWgbCmqYE8FZvVGq8FeCoT0glWZYCXwa3Sr5UuWDtj84y1VVox6AURH/5swO98rM3YeE6eCJXLk6ypWFXeZ/Z5JnMGonLuLsXiOZuXWL3SeGtluue7WZvCN24r8JqOee87+jx3wuf3PuOBDAFFIiQjk7opSXZNstLVchmzrb6prMsGsNIBPXs/MmV1IdPsq8wAnYJepN8TVDS4TLV7cX7sBKjFWhCnb+1SoJ68EZR0l+z0hVmCY5tpT82hp5qScKSYabnZfFkB09q7aXIKVemPlLXmxF25PrNVtXbuJZc6Q4qNXbk0uEsa3G0lnmruDNwyCygNWia57lblIFPFKOlmDS6vwH/7coOVcQZuB3BPgp9O1iqn5avvO9XfFIFS+XxVGNtWwZ09m5JcyQqwbNZ8Ww42Uy2ujMIYp7mn/IS3v2bAJ+9rsNRTICMwigjNWIhqncrEtZsEuU2r+Au70NWck34/L4+WafwghWPsCaCLPK5y0kaIaglvNbNtK+R4SfaeBHsZpxbGIYxGktmuxEiJVkria0m9pvE9ReZuFNmv6l1Vhvp6y0YF4GIdoFMAuxpYuuWrGGRTCi5F6oGX0rOX0t7ZBrDudZLuiFCk4lXpKALLCK8R89mv1njwqTqmpL2VlKXCKjshT0pLbhkwpUNMnLsJDiLXwaWET7GX+yWqDK1ElXzxOPHQJubF14W8+UUD/uhzPqgQhMQKwchoV96Q3oDkuQi79r1QiJZyHJZ/N5cpaSCaavKKg2IzJ4X8RihvQ+imX4kKLopz5X7BetibxN0kkwsBsYEktkSRJUksOvDdvjSNmqjUIeQm6MTSsK4+Kv+75wF1RaKUiuQLNrQlm7D6WuUsXgW2LHfUTIDbvS60d77FYCZPpDsCL+LIScmHPtvifM93+11LN+hdCVzXjHDZwUrtyZpDVAA/yd6Tj0qih0mJUh7vkMoUa/KvE5OCPJEo6bY/2dRM+OE397nvqYAjFySICFAYJCMhUZQzrZaiZaUK8gqT22wkcuqiyMI2zNRM5qAgs0TMBNBtya4ssTmI0ntJiTVdCci+rhCELYcNJaotamkAosgwCt1W6DobjlOvuSROHBe1t5NcU34xeYeJdQBefj25ZK0H7DLwMwclY/QC3FyCxdcBtyrr7RK4ZYKWMUq5IZrjxPDbf9bma4/WXX2C1E57S5l27ZQae0s9iGsCzAkmr2Z5q1hfm8Esqgwz8FTKZ21Jf1tTArkiSQyx1KhY8/KbQ37iXV1+8bd9xrF0GSgjiYXHUBTZRkTWmPw8IM98QqCYI+gCSJlKGCvdTeAUTBZY2gmgpxImL6az1ZbFjJ3X6PLq26oS7cTNaNNxgsYyHidEsXHjL9qNBBEnzE25joihBZusz8524us1TC5Y8wZFCcSTAWYmTcquiUzBlAUNZXDLSfdE2nx23qXAnduBuUVYCi5ljOfHfOVhj09+rcE49KCunfaWKmfvfBu9cgKqwuKiBOyCdbIld3JJzcBTTre4rqiJslmT6dz0e4lw2jtx+rKYmV3spFZvxLz95UPu/tqQLz6sQEWOVYwkEpoxhaPixuVXi67WZfIUyDL11m3qfyNFDngjXGJIWJsnejLtnQPeZkFuwfTZ+cvZOT+FxWSAb0Ww2SMxhtHYsNqN6fYT6g2D3r11lfHMEn6yxDPHNpIMdEUvVQA88Usrwco6QM+XnwlgrwF3uWFAlJiyJEvK0sTdBKZkD2ZTUNeCW6kEmbJ3Bm6dgtv3Ilb7ls/eV+fguZqTJsKVxIo8sUMxQapcY32JmzV3Ay4tvKs4z+SgrWYRyw0R+awQqrXiGYtLoZCJQUpNNNbs2xzx5pf2eXC/TyeUDuCkehyXyldQBbddC/KsGSOXKHlxFqmYT4NOkWUW3ee3AiS2+H5WMWqLvk07gY0q3kqAX09JrHNDCNzYkNgIDpxNqG1K6IkE/RcPalaWNccOwGwzIfAUvpcyqmTNUnEpgX9JYE8w+RpJIkpLfvq9IktoKiBfT4Nnk08di5dlSzHXupKaz5hbxxgS/vBzdX7nE22s0M73Tp0Tx95OnlQszPS95p9HliVJulHqhON0KfYut/kVGlxUgJ7JxXwudm4VmnRgp8JIk8uVKPGQyvDetw04fNbjdz7p9jfFcyxuEIyFJNs6NtfiwiLMBKKsKCRK/pO08Tx/z+lcHOFul4ytbbpS2GwIfkYCFaAXYJaZbEo1e3buJk+fECI/cbliSKtNtVbs2iLZuzvmmuv6zM7U0P0Vn+WFGmfP1wm2CXztdFllBNnzXKyqZMne6NrgMmdsUciRyWBTlfVtBmaBkyGiBG5V2p9eFul4Kcu6u9DeupytTANLz484fF7yyXua9Pse1FXK3rpg78o4iOp4uYqPX/qc5W98qyRPxuDrH6UspqzO6XMz2NNqPiOQRiKl0+JSuJmGrWbC214x4Atfr3P4XJp+xbFWbAQjhAucDbkUyMRVXp2SZ7QdSFWO+wzqWelsqsVxQHfTzmyl8k8Im7spMpcrkE2htSX5Ioo/y2Q2pjxnPDvvMgW+FNAIBFvnGmxut2g1GujdW+u0dI3+gk+zrtBeMU+kDMTsYkzczpVgqnKhqQK76nnbCYkyGbxVA8o1EiVl62KP+klwp4BO2VuWvidlgtIR48hw9wNNvvxYHQKVBpbaOSeyYO/MP85clMlS0EtlK7+1OFkH7BMHFSellLq3It8KPNfiRpIIhTTuiMaK19wY8poXDzn1eY+xkSDSKT4IYqEZmlKcULqoZXcliw90JfDM8FCk6jFFAFqwd8kSFO7fy0zCpF0/wrqTl/noa+ub3M2XQ88UbyMHuHE/iGLoDiRhFNCcazFrptCXX7ZzVRJ9YfPGxt9QwhD4rvs878MUxS8sCnKeh8kr7D2pWS2T9mAF2LkeT4fdK0tRi2LzstEM5FlSR05YgRnYC6DHaWCZzhf0Y772sM+v/v4UidWgvbRiUCPkRFFVbg1mHritDOxfk5UVa2/y52PvMotnJzrbmqOa+EllikyBLdxuBzaTKkZihPPGpdHEsdtf6Od+pMvB05p7H5IYv2BxawQRihFpc4Ql3eqxYOdJTa6sJR1Sm/blptyejpnIv5fWrMjUNrSlRmibzhK3RuRkl5k5Qjj5kiqmgiVKFZhriBb3O9zsFOd9h4HGytYXZjfsWFU3v2BHf9BbOlLz+QlPxdQCNy/b0wWL5zsWSLHmIgookjXl5ltZPkqVgOUB9tluYWodl0RVJUlhC2ZuSaG9Ve6UFLUmlcKqrBVNRWgVcXpF8KsfmuK+x5puUx7p5wDX0s3fDkqlsWtqtytH2r6lSGvaS+MsZKnmXZVq4ctNG6VntzV31SZdU8JQ+r6Qtir/svrxbJyxtWyYiwm05cEnfVaHZdZyPophYkBRRRSsLddYl9jW+VlhVYvq1xP/ttKIlt/wonLjl+ftuHwAxc4jCcXc+gTiOEEpn3PnF3/48SefOagD3w1K95QFz+DpotY2q9JKci/W6axsTqm1FLqTtQxWtQarrC3WkSVrhztWLcJsB2GVJnAyVteymsgpjqruViomCRI+9Kkp/uKrTWyt0N1l9s7HsWXvd6LBeFKe5Fm2kgYXa67npahcVGfLrFNlWFiHpXY2Wew2VvHIjSQREpkoEqGRw4S3v3LIs0c93v9BTViJil2/58iISmBchaTIGx6QjnkzuZI3RGRMThpspjdjlpK1slomnXX45xNobaGhc71exJkV5jZpcZcbBmRISptZ5PhSCYYYYyx6upWkt0aMsFHaRZ1tipRN88zuFJHunlb1xCvgzkG+lmVy5hFlKVIFdMUaFNWA0n1tqiyefZ2BO7cF04SOivOKQaUSvvhwwO9/vskoSafgyyKxo1JpkmtvWfW+hagmqNYcBb4vgeu1LFcokzSYm5AttgRom2lvWUoAyRTcwjrLMJEYoUiEQRiDNJrAM/zI9/S5/wmfLz4mUxcksw8hQTMiA7mlmh+cgJmAGDejMge4xE2FSzOdWZ9aVnkojQO1zbS4dDZiZX4KloQiHph8B5nLlCVz3JxC67BpHOiz21HIhMgoB/AtcwMQAptEJMkIgcwneIaRYiwUgmJIY15lWNJI5ch3Xdau6G63jGauiMiBVAV81f8uWraqEqV6ZJuW6mzjUhUjZYKUMUpHDMbwyx+Y4uiZAJuBWzhwCyHSPTiLDGp5E6z1vPxJYOf56vyOnwS1rX5d1pbrZTVLXnh5f8hqnbgDdw70LOiUyu1qbDQyNFy+NeL//NEO9/9MQG+UvvE04HTOimIEqX1o14FY+v0MzAhnIabBJYL8ZzbzwMkCyOzPpILEFN65SMcwm1wNFDFAOX6xadGXAznEiSWK3VTZMIY4KWYXDmOLHxisseitm+sgNCZeJRl3MFYTxorRWDMc+VjrzHNXR5y+AVv94+sHlbbU1LB21O5kYFndPQC3P6MoAbzkmuRAVwWoZcbiyu3Cq2Sc2oMusIwT+C8fb/HYgZrzvNMeRqTbQVkJVzHoEjsTQaUos/g6jJ1/Xd54CphgowpeJr5X9sLzrRczSViagFUuvqru0iaxqR8uhEQYiRRpi5vQSGO46aqIv//9Hf7Dn00TJhmLi7QNB2KrGJrsfa8tp81WGZV/IJH73JnTYcvPqcsi03s+68A3aVY0G89vTDEcSE6cqMrw1pKRYwyEkaU/hsFYMIwEo0QwjgxXtKaZnmoRxQl6y57vRelpBqv3sXz6EaRoMq09RmGdlU6DcSwRY1kwjKlcrnXBXZ4RPekhTzL1pObOZYko9mQs9moswC1V5p4kVeYuHTKTKLWELz1Q4/c+3qIz9MBXuHS8B0IjhEi1d7n+ZWKoz0TnTrXss9CXlw7QqkRYmeVYvqR5VjNzU0CmHe22JFPcFNi0CEsWHT/Ob5bY1DZ0o9QsMk5o1ww/9o4BjzwTcPc3FTTiYp5DCulISqeJrUh35J5MAIncB3dvt2D2ArEFo7stPwRl9AqTOSul85aCPv8rqR7Px77hrkOSnULrejBXB5ILfUEvNtSDEBH2ePNrXsVrXn4Ty6s99BMnppidavGV++f4td+Z55pdCW+7Y8Te7RHTDYu1DcJIEcYy3Y+nuCBFwUxVlpTZupLQmQByprfFRECZd5CL9cFdlidu//QktwdlLk9cgCl1zIHjmt/8aIvDi56zhsoMLqTbIjwFdnmntPympcrgk83F5fiybJVWxPhas6ASPNmSXJnsNM9sQ1tib2NE2guZ6nJRAD9J2VvKok4lERoZWfbMxvzkO3scP685dEZgdYY896at9QjNRCeptOmNYIsLnzWlS5zkKPvVmU+eAz6tWzHkAai7D2xOBNK4ZFF5VL8onz8ckShrEVrk903fJmzd0uXqHT2+72V9dswN2bJ7xPwWRbTZoocjTbOuWFqpceTUJk4tKO58KGbfjhGvvUlw5SYfrKoY6+WCGVl6D+XUdbleeo3Hnbsml3ZMiteXBncG7OJ7ZQaP8YOI8x3BL39gik9+peF0t6oGljJlbl+UMql5kPl8pbEUpQzli8AlHvbS3y/Lk0m/dzKzKUtjGcqZTmmzjVIdYSRCIhLH4MZYx+aJwZOGt79ySGck+Nn/oLiwKiGI0nU/ZXKpGZsyxFO9bcvAdq8tpJJFpBq8cFhkidVt2nlfZvoM5BlzZ4xtJ1Y/QelcC8fnNR/aLXjFbSu88UXL7N1hiZMaSaxoTnvUfIEvFbrhSaYb/vl2Tdx1677p1y+vdPE9HxH6PPqUwFwhmZ91v1CrrNG3mPlMZekubyFXDiAzuZJtIPp84E51dlmiyCJTWQ4o5SSw02SOTHV3iOEz32jypYfqpVqTrKDK2YJZt06+HWE5u7oOqGV+kicYm5JUKV+c8upeScmx7usi4BRk3TQ5k+duStbxY4tuH+EOKUu2obQpe7v9M42wJLFFacPrbh3zlpcM+OMvKMIYV1WWBZ2AlTpl8nLQaasfKGPyDLTl72UnIf2ZK7qyud6fBLkQIt8TKHNfMvvVEWYxMlsrSeBLNs4Kbt7XQlqPo6cThIyp1dqoMLirJuvnEztE/e5v/zq7rnzhqq9Y9Qj/VnfpAvNtyXzLsmla4PvpmOL05FWCqpLDULH4ypIkLzVdh7lLSZyyW1JUB5aCSlV2SkpZytJz5p5oFZPIhE9/rc7/8ztTHDsXuL26Rdqpo9JREKWkTlYWm80+yZNQslwLXt7OY51tDUV56m15uNHkhFzSbiWKkWfp782+zpM6JRdqje1avrmknSCZsudcklLC7a481064+oqIUxcVh05qjJ1YjoTT5EaIahFZFnOU2X3i3q3+vCoziudStCKqYC6YugrsbKCS7ykaNUk9kESxYhxpRqHHYCioNfei/Nl/urJw+IEtu17l9uhp1QxBkDDXtmyek/h+Wo/huYuU71Vv3B+ypXU006dlCy3PqE3KkpL2rmruzDEx1e99K3BLgxIFg2eWoOfHnF6U/N4nmhw8EkCzYO1Mmggh0KQpeVmSJSXtva5rUtLk2ddy4uKsuajfQrVUEzx2fU2eL+Pl5I9jbynKjopEZgxvBELKNO3vnBUXeBqiseGqy2N+5G09HnrK5/iCKMAtM2dFYIxiXGbmnOEpsbdjdVticiucrLHlwLPybCcyiqRzVkpyrXT+MhbPgJ5Zi6NQIPoaNVKEoSDRikhCHLv/WQO8+IXXUq/XaDdgZfEUg6GT/54nc9Yu68EyuCmdk3xL58znntDcFTtwotbbBYvfLrgLaSKzAqo0W6lVzHJP8Ot/3Oaex+ppA0MpsJS6sAXTgqpqURWVTp1qaW81sCwXmjkGcj74t8B1FeQlmZIVNtlJkJcymTJ3UJxEESWbUEqbyxUhnD8ujcVgSdycKqfJhXGyZWB55U1j/uF7uvyrD06zMkw/kBWlaZm4sc0pm5bdFLEOyCsuCq72JE/6XArkObhtPp6tIosq2cT0LZIN+3EXxRhBp+ez5bKdbNx6LaOR2+1YAmzbtpm9e/fd3fQWfnXDrCaMXUCQ7ZyQVYNN/pHsubyVs5hkbZG5JKwD7lRLi9J4h28D3Ln3XW4iTjX4WFp++xNNPvDxFr1Iu2EZoqS9hZup6AsIRDYltgTsSrZ1PR2+3iCj0nJdvRbf5kNUWbwC9uLIGd2QVxNWnJZSa1vG6PmwoNKRGI0x2gVkGn7iHT3e+31d6jZ2KWsTg43cs4nBJiQGRhbGRhAaiIzbtzKxwjX6WtKd0FyyxX1dJF+y+S5JNucl2zzYVMsQMgbPf166pSqkkP6OJHHukVaWyGqeOrTwq5fv2Xv3zOymAuAbN27hn/3ivxh88dETxw6cSegOTN5SVGwEtTa5UR6fUAZEkSAp1VPnnvdkl06ht8uJHf0twV0KLkWClBF4Cc8e8fnTu5t0o3T+syhkSZm9s4ROuVpwTUMxaz/zGi+8tIoVgK8C/VJQt+s9l1fJ0nJdJHfIWS5P3efd9wWws1Fvxsj8ZkgS5Rok0m58YzVxpGkpy9987YCr94yRSQpqkziQ2+y1ITYwXgPydIPWFORlOWsuAfLqsy3V2BT7rX6ro3yzAEw1Ym7cN2DP1ueOfewj/2ywbdsWoLRX/etf/U7q9Rp3f+nrPPnYw0ihmdwLpxw8Vkpgy9VvJZYus7WY9LjX09uiqA6UzwPuSc2tZIz2DU8e8fj7vzrNU4cCrJf53KWCKiFycGfau+x7T2Yt1/SRTujsSX1eXtlK5Pw8+qR4LmE6ZSknQUoNNQVTY51UETa3Dp0WxzkpwmlxYUEYi5GZLofESoSxqYRRCAxJaLj+iojf+LkVfuJfCzcP3S/LlCyC1MRGViVJLkMKiWJNdkLKDovIU/uiJFPKySQjcfUpWISanJlu86+zsthEpXtnWgijhGsuu559195OFI6BXysYHODKXRvYt3sjOzc1aNYlvifxtFwL7jIISl0/lQSOqIJcSFt1UiYDzOcDdyphpDApU5d1d5qK92J6Fn7rk00efzYgUaoIKDP2FjKvN/EFlR7LSd/7+Wq8y4FlIU/WsQfJpls9v1ApRhBnWBclHUqRqs9twwkGL0uTfHeIohjLlsa9mcpRsLgxGpFIbro65P/3tj4tmRZ35AyesXgCGGLrmDy0oiRVCiY3mUSxYl0mz2VKytq2xNxVNs+2EMzq4V2hlbE2L4+NYggjQaev6A5niNlGZLfk5zNn8FrgUQv8wxvmWke2bprakyQRnifxdNHhU7bLpMoagEvfm3BMJnsoZcXXLiVxng/csmgYLlcJKpG1niUMEvi9T7b46JeajGW1iCqvN5GFNMn3ln8e9s62K8+9b6rAXxtglgH/LXG9hsnLwXtVqojcWTGIfNqrsdlrm4PdZGOMU2svC0CFFYg0jS+NJBHkLJ4I5f5YYvFFxDtfPWD/Cc3vfaJFP8KdsDQQzB8SEiRjg9uFL3NXSkyuc5YWE165+3fCFL8rL9gqn0PrVimTNjNkJTMZe0thidN0vzUG2WxhaB5RKjiMiMtv1T22b9/GIw8/cNfGDdMf3rl9kxvqXgZ3ftgK0IvB7amHPcnkOegL4K6X0PnW4DZrZYmK6YWWD3yqyb/+4BQXl/w0U5kVURVAlyJtYkjLYXWpMSNj7zJLrzsaokTIlVqU/AaoCO//7sdkNtMiikCrokFLbJczdZHtNFaWtHma9MkGBlmZT8cyRqU/S0fAxZrNc5Z/8aNd/u7b+rSCctAZV9jcGsfkI1MwebQek5tLM7kxJaa2JT1uMi1v09e2VCZrSYwhTtwRxpbByODV5pC6+eEHvnn/XfMb12FwgEbdp16rfc7z1FvrNe9Gt0VIBvLSPjgZm+dBpCkYW5UZu1pLsiZbKY37HaoM/iq4i4xlUtHgUsXIWsJffL7J+z4wxfkVz2VoKpagSj3vTHdn3TkZg09q7pLHLSekSanop6K7yzXDsMY9ESWmz+ytiuVaAneFwUssvjbAKpi8XErriqQy5hNO16apbSEkUlhnJ6bpeyMswqj0szinPQotW2Zi/sWPdVjqSj78uRbUKFL55fS7FcQIRmWmnmDyvPLwEkxeXhlSh70I3oXT5JSvQVJeYS0Wg6cViRGPC+V/zkTlpaZcnQjcfscr+fJXv3rfeDx+2PNUZStsPTHFVU2+viS418lSVjriC+ZeD9xKVetLss4cHRgOn/b4o882OXfRcxOcKpo7Y2+RlsKm+8pPdOdIStnBHNwTlYNle7AsQdZxl8oXa7KkeF3WzjS4LVl+VKeLVbfwKG+/TR6E2QqLk7N2MaE225KwOlOlvP+Psenc8VCxZUPCe76nz57tYxgnqQaPJ9g8wVp7CSYXuTZPcmelyuRJiclz58VAYm3p+7bSkpYkLjyIE0ucGJLYIIQkisKHv3Hfvfe99rWvqZxfPXnCt2/bhhCCUyfHjEfdVKpUN3cq7xics/nzMnd5jxlbkiD2eZm73AkvZZwf/BsRBAAALj9JREFU2k84clbzf/3mNF95pA61siSpdsjLtJCqkCasawtW7c0Sm1OqHsz1tyh0eZm2xaWB/G09ypFleRfkkmwx1jkPNtWnssToxopUW7sxx1kA6m4wme4t7wBDWkabCPdLBTbX4wkWMYJX3zzml35ylV/4zRmOngM8qgycflYr1TpMDjbv7LGl5E7htlyKyfM7P6eM0hxFAcQFaVhraWufbVu35109zwvwO176CqRS4Rfv6nL2dAetxSW2w85qNbIRDmUmN2ulSwXk3x64y45J5pp4XsLxi4p/+VtTfPTuBqEs+93lUliZS5PybO+1TpCtZC5zaZKxbgbcMo4nwFxlb1Hxwb9dYOc24RrLsAr0tYkgchtNZCW0OdhdYJndEFY49iYNNk26zAucTMn7EQWQWAJtedfrhiRW8Av/ZZoTC8IhJgOqJM16rgV5VlWYB6iS/M1bUwJrdgaztH7lXq+CPBtvlw1oETiFsWnzJl75qleFSZJ8a4DPzM7SaLR+ZtfOXdf0O2deSTJwwaYu739TjE3LZMtk7fbzgVutAXdS+VqqBCnKfncaVOqYEwuKn/vP03z8i00HblXyukW11sSTEAiK6bMTTQxrA8lLTeMq7fRckSPVzXGrQei3je21ozjKiZ7Ks0hZPANtOmC+LFXSmYauPsWWtLmzIYRwwE+ysoLsM6YsbrKUPpooBo+Id79+iFbw8/9pmhMLPrk3PumElECeN0KkP8/a3GzqumGcf65yUE80UpRgnX02dyJE+l23E3O93mTHjsu+um3btp/p9Xprzq+c/Eaz2ebJR7/UnZkODs60ZRL4Fs9ze717+eapxe7BuTTJUu3/b3tfHmdXVef5Pefce99WVa/2qiyVVJbKBiGJbAEEUTa1QbAFcWbUdmy1FR3FtZu2ewZ0EHBmUGxbRxRRmVb5CLQNLiMgymYCCAiyhBACSchaSSq1v/fuPefMH2e559z3KhuEAD0nn/d5262X++773t/9/r6/zQW5LQp26ykzNZTMBzdjJjIpPMWEBRzb9jB88VstCtxG1jFWO2O9KVVX1EbUpM56u7q+A27LyT1HsdGkXr8ivdHjqcA9FeDrrbkbzicNbplStkzYPtXMaaqPy6w2bl7TGrlQ09xCDpx/2iS+fNEIettigGdVFZ+TxzIb1teRToeH29C+5uOJ+565uXxbSMQ8rcWME4lqTaKWUE5Ybu1tv7xztLm5ed8WXP9eqFbGLioWC8fyeHQ5Y1zPf3RD61Np3H5WoK3MMQ4lcekJ10lWIgU0MTQlsVo3ZRw8kPjebSXcdLsGN3XzS1yQU1Crd8OqJfWqiZ9z0rBJKIWX++1Jgo7VdgHtPmgE4HrT7bxk0UxSDuqGrg3o3YxCXSVjLLXU5WCKoqh9N0oKdCWk4eOqF7ey6NB0xU2EIoQpng6JABwXnDmBtS8EuOp6pmiwQU/GkkNbcvWliKlWh8k4dCmKNFbdHjedsqbbTaTjU1Qtp6Aq70RINZc0Xyj+eXhk9KJySz24G1pwAFi64jTwJOGd3XNkGFJEgUQYmgGqjRzNbE9ARyWh6TbZ8Hud5bZlZ4l1LhnjIKHEHasKuPGOIqpG53adSZrh3VQlUlnrnaEm9f1N/ChmXR5KRlHBFM/tbyTTE2N/Vj23zlpw0gDcfsdZr3eKyExqE9keKvW9VMzMHzfSqfJWAnARgHOGiAMXnjGB006YAOF8r5YcWl2pCqAqCWpSWfJYGItNkLhqirbyiYBuU0K09c7e1FTjWiIBQrFo0VwZxzE/9+wzGh7bYKqDvmDJCYjjyo0Tw2sX1CrbS9nGmIwKG4JvlPJqLLfrVNoaSlcaJE4lPHHBrTg3DSV+8YcCvvCNMp5+Ia8Kht1IpUdNCALtVIZT5JnYESlu1Y5jlT0tHI25t+XfmXtzRqQRzgb6oWPArdXW29ge4a6Rdzi4HTdoHM/MSWAVFgmPf8NEMzUXF67VNk6x1Fbdfhq0RZfQI2EBDhw5J8bVnxrG5ynwq/uLykJPZckJRUKp4ueEeCmzQuiTlErjp4IR9b1MOjrT34lSqYuv1QlBiQTlwPTejvGTTzr+xlIhP6XxoFO90dYxXY7vfvwbs2bP2VXKV5GPlIKhRmCrYaoh88f0MSadRpcCXmMep+zMFgcTU0/pdn/1wX3rfQX83T+V8fQLOQ3ujPW2QFfgttU5xASjUpDXcXBrvZ2syAYW28iFXvV8RhP3cLwP092QeztSoJc2m8lLcTVya6WNBo56K276GxruzYXLw00dZz0HV68zHe1k4DJQnLzGsHh2gqs+MYyz3zihRoJwXm/JRaxyV4SbhQjUNC9PBEFso57aWgvnuQBiDs27CWJzSwgqMTAyKTCwcMGue1c/+Y3Zs2ZMyQantOAA0D19EZLaMKoj92NkNAZANUCETaIyoXibVUhSPu5ZcSK101ivnpiCBSMHBiwBCSRuvb+Av//nMp5cn9MdYN3MQAfsJphDTdNMJw2WZpxI8xiGovgpvyltmXoMoodhB+SN176pSp2KAsd6E996C22F/Ub5CtB+pDTdVkgVERQ6oimlcKy4qmNXAUN12beFDLY3ivkmaid5DThyToKvfHwEEsAv7y+qDUx/ZSsLpn/LBUWVqLJPqRWUQGdEqk5Xuupe6gITpJPhhNC/nZHPBUDzzThiyQJ0dbTs9djuFeDFcm919/axj1bk/J/FyZpSLpJ2OrABOEEG4N5joYsdHEeSuHq3AXzigRyBxK9WF3DJN8t46vlchpZkb8qpjEg66s8oJg2td7ZLFVIQZwM6niPpAZ7UAT09ETRhmZqd+MA2D5wNU0nQoSGuVKiHUfnvm/nxSkJUANYyolAOGlzJUBIQXd1LtKdKpKITxN879UI2EFMFjuyPcdUnRiAE8OtVxfRSZ0ButG4qAQQQoIiNU6ydS9XTRf1OgmiHWAOZ614plCinM5BpqsXKZX3juYh+tG9mb/WgAT48NC5yTQMPzZwXjKx/fF2J0aqeM6lySEz1vJqK7LRms6VrjmNJhHpuODhxo5TcqiVgwP9dncfnrynj6edzmd7dWeutgBZRpysVhReOdxtoGsvtNvPxytFoxnpnrLYFLkkfu/cuHvwHUwPdDdhZEJMMVSHIOKGZukwARDekJNB51TLVy9X7+gQQ5pri+hBGYTH7Ki1SzYlro432i0igBizpj/E/PjUCCYI7VhfAdYvltCQNaZU9ZRBgiKHTYAlBCK36EAJBoKKo5jeTxBodJrT1ZxJRIcQF55wycsSi/oeGh0cE9rLo3t5sKXehVGrZGdLa+T0zlsYhqyAXJoiCBGGob4Hbm4R7KolVUkimeKERuCmHZMBdD+fxma+34ukNLrjdNmvGqVT53QbcRikxWYLuwFa334krC9YFehwAW6ueed390dMCCLJ3U72vnHDUx3l8Pu7mf6fvGfUEcPg4UrWkUeP8VFFx8sZNJZCp/NFc3GjlXFcBpbnlDjevMiyeFeNrFw/j1GMmwbI5K9lMROnkr+gcFqOX12w+C0GVq1ZsFU4wmcA+Hp3kOPH4o+LxyeT8crllZ29v116P7V4tOGURxoefQ6k8dzPB+HpUHl5I5BAYS4eISn25MyPgiGvZNbAJ8cPxhqZYxYRxIADufDCHi68uY+0Gl5a4vNtYcWojlUYx8YdFpWF5lg3mOCDPgtda7wZAd+lJo0iOKyvu98pQk/STZApu4m+eVVRsWJ6kjSlNdbrQRRLE5q8Akmq+rv8voikCgXZS9AlEXLtIpe6ZknUVNCuvAQv6Ynzzc8P41NXAbx8sgFO9tWfBYXVySAZurDYBQuJMY9afbgfiQtFQKjimd5RxzIrF65cu7t/85zUbcNTi/r0e4r1acAAghGFy9+0bGKl8uK1rAVqbRtDeMoFivoIoqCEMlOLBHDriO5DCm5PjVsCrUrMECIHfPpTHxVe3Yu3GHOTewK0td0CzvNspYqAu767vUuWWotWnxdZr3FYYzILef9vic/8VcAe8jgqSTZv1nEk00sXdbeojnLIu79qx4iKbaVivj5u8ce49N9FOpa6IGsOCmTG+/plhvPnYCVXbGfOMPh5nrLqAlLAVQlUBVATBpCCY4ATjCcEoB8ZqAsNjHEPDMY5evgCjleTD1/3rqg0BY/s8rsG+Nii29IMno6CsaevEruTe9ZvvOXlsfATzZzIUchGqcWjlJQUCx3ob3u04l67lDnIcG3dRrHqsgEuvbcbaDQ3AnXEoQRW4cySlJh64nUKG+milT0085QQZ7o16BcUFMRxaYnmqC3LXyu8T3TCBPsu/U4dSpoFN5zXT+sm14oDm4q4erjtcQQrnNcdnpARGoFbOJwXRg2brdnIvX0kCQAwsnBXjmk8P49JrJR54LI+NuyIgso6A/gC9g9T8rUqvFekh1SKOBJIaWsJJDMwYRS5fxukn9t/7vnNP3jo8NoHW5tI+D+2+TwEAX/rSFTjtrW/cPRG3jP7krvDdl39vK7paORb3cwAszVDzbm51TqaOkqiOr2s3B/jKtWVcc2MTNu6IVKFwFtzZQI7pREWkpSaMwBvWavg3s1wcDi/XVTxenal5TPzXnM5V3vvetmm3J/MaiNlOFQATe99Yfmx8smV9AbKX990T06888tJ4XadYn+zpyejm09Rfnvzz1R9zYl4hACCArnaONx1dRe80jjXrAuweYgDL6KDeB1L7f3n+iJDIywlccOogLv/wdlzw9mMxc8a8z+3a9dR9M6cv2R/o7tuC2/3JLUFUan6orw8/b25LzrvrT6tx1nFjKETMckBz0Kzl1lmBbn4JpRxBnmPdlhBf+k4Lbr6jiIpk9ZzbC8E3BreJVFpwEz/Xu34ycRrBrOfYxKceWf7dgI/X/ViZn3y/lnRST9zn2c1cmkKQauEkU31uc29Vj2/pqCcwWJISVChJzphyRpR055XsAFAbUh+PBPWyod55CUDGQE8bx3vfNoFcKHHZt8p4bksE5NwvbUAM9YOAafdDHVyq96e5QHH8IomjFqwEmo/7OWta9BAwvL+w3T8LDgDXf+dqfPKTnxw+/aTFqzasXzt/Vsfkwv5uAUp11zpHMmzEwU1eSRAJPLc1xKX/uwU3/7aICqYCt2+5GQXyGXC71CSwlrk+wOPOmDfT45gDdGupG1hvktnGtcLe32lLTaix6sSZzd7AgmdvmUxGzzoj3VfD8aekUk4KL7Esg9RZ7ToDlj2r3RPV9Su8kztrydMBJJITRFRiwdwE3R0cj60NMbRHR2vq6B6cL6d+6xxRHfdachSzuzvR3bnktmnzLvzk2PDQxlyhf78Bvk8n010L503DujUPbvzg+cufeOPymZiYyGGyGiHhDFJbDEJMmwepw/GJBTfLC7wwGOC/fbsFN91RQgV6Tg7Jht2DOnDniIpSmoY9nmLi9F8xE+F8WuLP1sn2FTTBBM/hdEBDHc6dwYB3qbVX9cYY2ufKJlrZF+1rxG7gOZjIOppaRjRJVzBdpEjaCMiG+FMJ0Q3jp8lYWjq0pW9+aN+VDN00WyEZkpghL4B3nz6JSz82jNndmfI3aR6bm7SgzFOJllAiTzjGKrOQ5I97YtXqhzY2t848oGO63xTFrDmze5Arzb6qgKfnjuzcfGHCBxEG2sp4FTtOwQJLEEuJBx7P4ds3N+FndxZRI6xBM3pWR0sMuCOaBnKYQ0GycywJwdRFDW6Clb351tCtoocDZE8dtK8R7z5DVNNQisuJDXiJh19fMnSdTTigJZl7N4VWnwCS+HTFOJZCy49KAiQ6UqheotrppDQNBAlQELeXsRRWKrQoFO7Oe9/GHockAaKA491vmQC4xLdubsKjz+RRVe6bc/YaeqTuGQEYBHq62zFtxqwblyxeetXa9S8eKFwPzIIDQL6pH4Mbfz7c3tX3wUQ23ydEZMPxxFhuo5gQVSA8KYEf/KqE8z7XjhvvKKJGWVpmVtcYM7Xcpp7SgDvUgA4cy1w3azLrOJpoZSNwA3VUweCzkSSIRsD3MY2Ds90+0OvlwtRCAyQD7KwVJ1YOdJvkm8f+ACs3dTZ9zLWVzxYpS0kaJGaZAglaZ8nVLUCSMIQCuPD0Sdz6P3fjr/5iDCWaOOm2riVXBceJBPIRQ2c5f9/AQP8Hr/vpHcPLjug/4ON6wBYcALpnvxO7tj080TdwXm1ky/dRDAdBmUmqMuP7YgRRgnEO/PC2Ev7h2hbsGQ01Cc62Vcta8rQSPpex3AbczAO3RJ1SQtK0WC+w41EYUkdFqAtiC2TDQ30MOyJD/fMDwLnUMqGxzqbAVjrvuduqe2OtU4uuJ1qDUfckUGNBINK0U7Nz1JML4ae7SgImVIMf1+lkNCMhepY8s2yRsdpfyjg6mziu+NgIGJX40a1NGK/pH9rIlSKBkBIjscT8ae342AfOqVFKJs5/+9sOBqoHB3AAaG4bACAeDLHihK2bXih0N8fa8RIq7TVI8NwOin+7u4grvq/BHWTArZthZsFNqSkWTgsWgqxKYsBN9gJusg9wa2ufDdo0dAKReexoJY18pqlfqAf21Buov89SEfs3LjXRG6tqHiN+OMBGWvEjaIYjudqci3gqVA6I0xOZ6Nd9uiI1OPX+up2qzM5SqJClSNBe4vjyR0aQDyVu+30J6wahHCvCAElBJcfC7hhnnXrK5LIj5z7I6AETjZcO8CjXAin2fDFuOVs+/PyOT588//58U1EBO8zFWP1kiEu/24K7Hy+gmui54IQ6+SSNbiktyWXVEg10alse++NGGoE7O4rE61LVqA+hUSHgADqjFLhW3HU0fZ35IAiLwZx0HiNzEmQCQSrRVaa9VRywy5RyK+cUqfWmLshd62tocAbk6rkbQNevS+IAXdiwPKFpMEkSo20TSCLU85ijrcjxlY+N4MwTq7jsu2WsfqIERAHAcoiIwF+fN6/y3gtP+XoY4B9ay43L0fZn7bdM2GhddtmV8i/eeua9vW051lSYOKEYbWeFQgV/eCrA3/5zG373xxI49GSzup6BwZTgNiP93OlnRi3Zb3A7fLxOQXECNv57JLXwND0ZGp8Y5grgBHqQyoKpA5uVB0n9SaVPDqoBlr1iAO7f+1cPGJrl0Ki6152/N0hO6VSDU5Bknlh61uBUJ96zzGen78vUbAA6uSsIgIG+BAv6YjyzgeLFbQEIibBi8azaigUDV40N7fry8uVLE7yEddAW3Kwl/S/WJO2+MhSdtcHtuS9942ZOb7q7jD+tKyjhmri0hDo3pn9N6oHbNMf0pMAs586AmxE405Nho331/JvUOZtZoPmKhxPdc+iJ+d3q6AXJvLY/5jtrrTNqiqUkGRXF/mka11HBH+hRfHp+pkpVUo05AdNiGemEPNcwu1x/SkuemnmTFkWo0IldxqJL+2emVwvVY9ekHoZFJQMXHCzhOOkIjm9+Zhg/uauKW1eXxMzpXV8Sxd6r71+3q/ZS8XlwLn9mbVh3A7rb80f86t4XH3v/JQ+x8VpOodX8ei64QSyojbkimnPnNagtNXFLzxolUrnFxI5DyTLgtZy7kTU3Vo+ShlSm0WNjtan7OjVDp1JrySjxLL0b2mc0PWmyVUfE+Z42CEQcPd9eRVwnWmbu1ft24oa3fbptGt11Zyi50/CyHYPdHH/3Ne5UcaUFLur/ErZOIL0JfVO2PQoFRsYT/H7d+Xzr6KJluWD8yY+85/yXjM2XbMEBYEIuRr6t/KzMTb/o3LPbvv2z2x+mMU+QdjlnPmG11zyiLW+a7morcmxE0ldL3PnxacRSZqTBBg4lrX89Gy30IoOZnEAn0FZvGQjqXtyr85hdDTi3UUmI874qEZZeGm1aCKEMigQBiNRHngCOJSeacxOSOp7mQySITaeVQhexNVJIrF4N7VzWJ2kRqgqeISgoVXtiUwhMNy1CVUoHUVX145MRSu0ni9NWHnnRYy8e+ez08oFr3o3Wwbunzlo8cAzu+iNq7zrrxOsGuqPPnnpEO4pBRfPCEMQL3lAHLfAaY7q53NmKHOYEcvYH3KY5v5ssVaeoIMOJLZCJdx76dNINe5MDA3IG0/u7nauLW8HDyoVwIptuwbGjkws4BQ312rgQziiUbBTTRjjT4gjuRkS99Nq0kDktqHDudeQz4QGSJETCA0gJjI1zDI7Ow/ah7s+2dp9+3coFO2sL5h/76gE4AJx27AC2bB3kH33fuc9977LjRr/wHqCc5wgpRZGp/piBCVQ51tBUNzH4QDZ0xAI+61BmwG2zCB1gMwPuhhHMqR2+rGxoHLYsMqcC6cGA3obm9/W3XgST2P1I5UKTEksy+d9u4CftRWIq7bk+MWwH2LqwvXvLhPPdvuROMMk6l877nDMkSYBaEkKICEOjBD+9ZxqeHHz76NyF73pueGgHzzcvfblg+fJQFLOamwpobl53G7pXfPzIo/jX++/9Q/vWbWNgAUOsS5MmhIpSmd+SIpMJWKdv++C22zQI7riUxGton7HQFtxoBGynN7WhI879VOD1fNODWNZjcYBeF+TRbxAtDRoqY081AuNt6kp6PZGapFX3RDudgM4wJNJLNTDh+vTLaJ5C/BOaOBaK6InIKrPRjFtRVwhrJGBOIAbOVeRzsiIA2om3vuXtu0Xx2It/+cDgbacu63w5IfnyArxFt8/aumPkhreccEawZ3fuqn+5+e6uTdtHEFMKmQCTgviarwaeSnqSXvKUC16fe9fr3CkNcSRAmoLaZuOBeKAHfHB7LgJQn2cC7yLkSXSY4gRoeFI0KldzFBF7iKR3qHylo0GU07BtI68Iq+urvBRCFLc3x0rq46D+X8XFqXO2qquDUj/sl5fQzTx1KzjTxFNoB9bp5aI7D9n95JyhFoeIEwJJO9A17czBgdmn/q3k8Q0rFs59OeEI4GWkKO6a1t0Citr1F55z4iUnHrt4MB8CxUCAJ0BcESoHQQhdfuXQlAyXdoGeFik44whdakKUiuHTlPSxSVmdkq5kdGTf4dwH7XgppnuvK6Ug9l46dCaTQQi4zzMZhsLNUcnwcZeCcJM96NMYS0u42YbW57KYUjhn900XhZDFaC7UEAUSk9UQcRKi3LF0sLX31EsqFXE9DVsPyRF8SYGeva0rr7wS5VknPBqG0WCIyik5jBbaylWUoiEM7uFWCw8IUbNzaNrzQs2M14UM9uYUMXhURUlvzAE1c143XNyolPVBHDcYk9XD09xqL0clw+H3fj/Ve8h81v7dlMrqXFWI9yA92WxiVvqe4cPSBl70NnBAaU135qw1Vz/4/5Wfr64+NZUbBQLGEYYx8rkK1m0TeH5LE7YNtqLc2re7o6vn87WJZ68vdx19qGB46AAOAHf+8id4xznnPj6zt3nT8oHgzDPe8GLubSt3YuuOBM9vzgNhgJBR5KkO7miQW2DrmUBpMYN/U8BOwe2CXAHbseAW3BrUtAGokQGea9Ub8vaXBvCDvdWdGA4A3eVbfuPwOe8bvuwAO9vLynyA73DrEx31J6urp6uWfhxNhQru/TNw6fU9uOeRFvR0zR+dMWPWx6u14F/mHvGe/RWUDmq9rBy80TrxqEjUePuNTRGSjtKeH5bYlvyJSyq464/cnvlZedA4lqnjKT3qwQxQGwRIvMnMLhDckDNBPavweHf6gv1hDQk+ZHTk4JbJLSdGGzcN4g1Xhr63z93+5tI6qoRo/5RqSkMd6uMQ2fTrU3AjqhMKAtW8hxOqo6jCFkKHIccfnsrj3keLeMtxCyoJ7fnQtp2lm3cOV8V+fs2DXoeEg7vr2JPehdk9W7hkc25ubW97b1Dqr1Aawx3MGthpbZlZnNTh4RnL7XJw2sCaW2ttbz43b6yJO47oy/T9D1Yn35/VaEpbmhtOUp1aZiRB00bCvpa2NHY1b95ITuTu+ylv55mhVm7bCSkparUEy5dOq/RO73jv4vmzb37shSr/8AcvPHQHR69DbsEBYObC/ww5ciVH84JbNq+beL9g5R8gGCuGlCBPJSKWtjv2opSeJp46k6yBJSfO3wKkzomsA63HVd0HLx+4X+lV91XS4KG9CKmv6FItaZUnJU1KSKqGWlGq03Bl5vOdgygIVSF3PbKQEwLCKSihSAhDTBkmJhlWLls4UQl6P3D1DWfdIumv5fVXfOgVOSaHlIO767Ir7sRZZxyPI1asfOqIN4XPUxadPjkyls8zgXwA37E03Nux2oHjTFqws4yD6eSDuK9l02PdsHvKRsw/7/fzKM2rhYN73wP1V4k6tQWwipVv6VMe7jqZpnLIdTSdOon02LhOdzbs6/A6mps3PHNa/9+88x1/vHFG2zi+/JmPvlKwe+WN1V998Yc4YmYHxqrx+8fHxq9+8OGnOnbv2oNcSD0VJNBUxQ6fNeBmrjNJrFW34fmsUkEa22RpJn7JxoBwj1AW1HUJWCb5yvJ/9znxtvUTtbIaPtLv4SRU1dEptzNXg1/Qrdd0exs2BIBVPlwn0cQRnNEvDeajKidSpr3hbZtsCUZiFEpltHUv2RVFxc8kMv+jPN2E8qzPvqJ4O2xX4+2DexCFwQdv+dX9V/70lru6hodHwChTnf6NqmLGiFNiLXvKxTOAcfJObETSArx+SasJNxrRpyyPb70PDcAJ8SOx+wS4zgZ0g1T+F3Ma5MNp3TYFwv2rgxNAc9psuLOYUnCbualqEAIL1HQPxf0FCsUmzJh7+mDnzJP/Tojk+7l822HB2SvCwRutnq5WDI+Of/+Cc04m+YBcceuv7+p6Yv0e5EKGgJr+Io4syFxpEJ7jyFxgE1JvxZ2VBkR0pE8PRPLBrTa0qoTD1wlx2fors/yrURoVJJmT1608M1TDzH13J7bZyL4n76ljJqlqu0ylklmllGCS1P+93h9KVGs4JgkCmkDKGEOVaZi16M2DXX0nXwIpDxu4gcMIcAAoN5cwNjZ+3dlnHp/M6GFf+/Evbm/7w0MTKITCcSyJKggyNIVlQE78e/VjpVYza8Hd6QemXx538jlcS26UYftM/+CGb2aqy17Savw50jtB7ZUEjtWF+g5qc+J9BzMi20QsZQMa5vN61fGKUp2cRVJw285rUjWVQKL+W0VvCAJIRKHApj2t6Jl55lDXjGM+zzl+mMvvu3/goVyHFeAA0NRUgpSVG046cdnu4dG18zpbC1+96+7VIY0IwoA5jiYBY8Q6l0zLgi7AiUMJqEaBtVJwCnclbHtglb+hngiHrtj3MgAzwCb7KBg+EC1mqpPE3fdsMMqlL+nn6MFTeh+FBbmS/Fxu7mr+KcjTaQpqIIQCNzX54jDHhkKqDG97gQuYQHPXCfHkiPhCd9+K50ar+V/2tEeHD1h6HXaAAwAhefHoY2tuO2nlhVEuv3aiXKLfeuSRx0gcV6hyJJXlZgwIKFEAJyRVTjLVNOaxK4cBqfWWkoATZcJV5lw6/0YKv10DkfqzdDGBdGhKCpSXaMf39eck3dCzttQJ1iDNLJQiteRcD3iyAHcq3rNXAxs/kERbcqkBTtLgDzNntlJfEi5ACyXRNfM4WWob+MQ5Zy76weT4jlpH+8LDDSsArxKAA8CKZYvwx0efqs3u67khjmu/J7JywbZt2//7Cxu2gFIGRikCRhCw1GozTxpUN+LSFfhKih0LLQDCFUS5kJBcQkgJzqV10IAUSBAK5G5HKRUZ3IcZP5jlSW2Zl11nUCeeGfkT0NSLpPuv8q+BWA9CE07RBJC5KuiyS0ZVoY4BurXgOpdc1YiqiHMcc7S0TkNrW/d/bWmb87NCU++m8bFtta7exYcbTna9agAOAMesWAIAkzf8+Oa1K5YtvnJDuSkqFpu+uP75jYyQBFFAnRC9seC0AdgdJcNzNIntQsYYAYklkkRCCjUaWlk6nXVN1CXaWG+3m+veTe5BBoqm+EiL9zotPO3HaJ4DymIDQMxVtmAtAWo1qbh4hoC7jjjVJ7GZaGaAbiy46rUiwbk6gKVCgI6ufh4Vei+f3jPzym3bBvns+Scfbgg1PH6vyvXjn9yC//gf/hLbtu+8/M677v3sU08+nqtVxlCtJSDEDcHryh3mh+ptYAeNgyJCANWaVJMDRmoYnRBIeGqUU01e0yMbZCLWB3CTt9ygkl/Bv2+ZMNveIpUJ07QFJdGpx4GR65hEYIuBlWWVULMkR8YC7BymGB4VqMbCUpO6ZC04kqbxa4xq5ewLo4AQAkIydHU0Y/nyI6uLl570v0pNHV9cdd9tOOGN5xxuyDRcr1qAA8DQnhFQ1Z7sik2bXjjhd7+9ne7YOX7C8MhQEIWhnhWkfpiAEc3R00CQxzFtxb1/Wd8xxPHo2hqGx7gXJVV0yH8cMGKvFoz5wE7Be5AAd/YxPbkkUqlUajVJIgig9WejRadBFzVoF9gzSvHI0yG279ZFvkivfGkX3ZTGuQBXx9KpZYUEkKC9rS2pJNGqs848S8yZ078qSeQl+TxDLn/wjXkO9XpVUZTsamu1Qz4vueVfb0P/vKXNvdPHr922bfO7Bwe307hWTSkKU52YQ5Zq5irLTtrLOyVAyCSCUCIXSpSLCaZ1jeHRDQIbNxXRViAohBK5QMKMzCZQXaDcCWdOKrVzEhHz0kEtW67mMCC3AadZpozPtMoImEAUCIShQC7kyOcStJQmsXOE47HnW8FrIVqKQBSmwGXUqEspHTPglowAoCBU+Sq1JEGpWEB3T5+YO6fvppbm0keGh7aMlpYuO9zw2K/1qga4u/7ynedg08aNo/l8/r9s2bJ13ZNP/unIkZE95615Zj2KhQghY4gYEEVQloyqH08IYi/NAZUIQ4l8JNBUSNDaXMXsabuxZluC3z0xA1xGaC+Y0izTG0Q1oTRdhPVbXhGEG+V8KSm1BuRWziTGMXY2sk5mGlEMQ4FclKCQS9BSqqCpOIxVawI8sI5iXgdAiEBBEORDilACUnfxUI6j+nBjuaUaAaEaqNIEM2b2o9zS+vPly5Y/0dXde021Wh2dNXvW4YbDfq/XDMABoG/WLADYuWf35n88aul5sx946GkUmzrO27FlHarVUTDGkI+AXKR+fCEIarGadU6IupxHGuCFXIJCPkYxL9CUq6EaVzCMCIWAaF6rrgSC6tC32QmS3jxge2+RAwa5a7yBTOmZUX9Mf28Q62QGTCJk2npHMYr5Cgr5CUzUyhitMIzXgHw1zas3/gmRAOcStUQNkGWMIArVFOUkligWyjjumMWY3T/v583t8y9OahMbenp7DjcEDni9pgBuVmv7DGx8ceeGvtmLPp/LF26gSwc+tf65dafs3LYWEduDchNQyAkkCcX2oQiTNZXLQogGRMARhQJhkEBIYOXiGt4wdxwPrWvCZJ4gz4FIqHZnhqqYnmkpn/ZHk5j7bOzcleSyK5tKkA3C2CY9+gri0pVUSVG8OwjU9ynlq3jieYnVT0UAIUpFSYCYS4QckIHyBRgjqMUSu0eARKiTPgoE+qa1YsWyxRgYGLinq6N4zcBA/+M8TjYEub7D/bMf1HpNAhwAZs3sBIB1Usp1AJ6oVuJpixbN/87orqfnJ2MPsijcifv+XMD2wS40FQhKBSAfKUCEgQJ5QFUSaf80jr6OKh5YI1DhAWINbjeHw+XbbmF0Orsnm/Riimt0WwYHuV7I3Xw2Us5t2vyZ/1MQvT/Up+QeyKlAGHDkohhbdwEvbA1BiGrREXOCmCupEASIAopCPsD0zgSl5iH8/vEQHcUi3nH6Mn780YvWMSr+5sQTVm4FsJaQg+Rbr5L1mgW4WfoHWDs2tnutEOKs8eZgRnNpyU0PPnxryyPrRks5MYLxiWZM7wrQXAQCKnR6pwC1PB0QesJAIgLVBMe1lqiX06h12KgtsgBMpFTnI8o0Z6UO4ekHe7UXJtpIiLbaMPkeJp/Eb5dsQG7GNRLKQZhU+SSCgAul7ydc9zuRQBRS9HQQFPIJjlzYhI7p08ZPXvn2kRwV5y9aMGszC9iG1zqwzXrNA9yspqZ2SCk2NDd3bAIGj+jtO2/lP17Mv7v22SeT+1Zta5cYbVYWLkEYJBrgyqEkoChEAiAc3C0G0J9tI33UjaIqcAeBAjxg8j5Sy29zrQW0OpH5PIfHS538ZZKjAF2dxNJADBNSt2ao30HjeEopMFGj4GCQALgkSARQiSWCqkQpTxHlGGbO6BwtlKfv7pu1KFiwjH243NG/uq+3dThOIKLw9QFu4BWoyXwlF1F1nmLnoBzq7Jj7m+6OlgWPPvRP8/76A++5/A1HH/1kd3fnnzo78pVCMQdGEhBwxAnQ2kTwjjdV0dcZq7Ex0FYTmR4rxEnhZQRhSBAGFLmQIBcShIECBhcSnAsV+hd+vrmbLEV1QYfR2wEgSSRqsUAtFogTiThR1pdzNztQ11XqCKMp1ggDia27CG69u4iRkRAgQMwFaolAPl9EkC9XOru6/7R8+dFPvum0Cy6/7v9cN4+F5QUzps35TYhkiBDyugI38Dqy4O7q6u4BVDLsxMaNG8FY8FVG2VfnLexnpdKSb1Wr1QW1iWffSPnzjFCOhBdQCEcREK5HCuq5nyZy6UT4lOZOETCqwQ1EevRQpQZMViSqNWXCGSMIQJV1dfqTAE7lUgAraSYcqFQ5KjUOSimikEKGVAezVKBJcIAz6WQI+n1OarHE8AhFGOQR5Rg62opYMdDDj17af1+uUFg7OT5+EWOCh1Ee137jR3L69L6Jw/17Hcr1ugS4u2YpadFczJNadfdHKM23xZUdXxkfvCkS1ac5J7PeUGqpHF0sSYihKmpVCRGpDn6MKstsAiRutC8KgUJOoliQKJc4xioca18UGBuTKOUJchG1iVGWhzsVQZQCUaAUjFKBI5dL8MwmiYkJgpaigMgzvQ8MgbbeptI9SShiJpAkOoTOY1SrApKUMTAwH8Oy++HR6vAjK4/qZ5/5wFm1vumdfz8+WR3q7Wo93D/JK7pe9wDPrijXDgBDAD4GAJVdtyFg5JS+ePLM/3QeOX/37trC6uQE1jz9DEpRgpDWQJHoFgwMlDBtxQlCBuRzEi1Fjr7uSQxXR/DingImRvLo61BBGBm4YcnUyTSOY8AkinmJGV0VFCdHsHGoiOpoDrRLOYphkI7zU0UMAhOTHNWqCr83N+UQhCFae45CLpdHiNwzb1rZetOiRW23Myru+cT7TsX3vnK4j/rhW//uAJ5d+Y5zAOCeHYO77/nQ+bh3sprM27xtt7hm6xaxcE7HnPn9XX+3Y/sWEMqwadNWVCujCIMAghNQEiBkEsV8go7yGFhtCFURYLxSQMyVzaY2d1opLKaoAFBqCaDySkqFBKO1cWwfoaiMRWhvkshHQBwDBByQ6orS0daCUksP4hrH7NnTEcjtV4Zs6/Pt006jYb6DSkTPnTsdvykU2w/3oX1VrH/3ADeru6sdAH5jnu8Y3IEoyrVu27p11Zo1EQRoPDCw4NO5kJzBqALdc88+DkZGUCpK5AsEz6wvYPtQhEjE4FyCIEDACCAFJiYFopAiFzJQQjBZlZioqv+rqZCgFsfo6wZWHilx3yM5sBAo5Cm6u8s47tijEUUBwgAo5ckdI2OVr9VqIpw5ezE6u06/J45re5rbX962w6+X9f8BPsXq7uoGgD0AbgWAzVu2AiBrCEQPIAVPYmzZvB68Ookg4KA0wIuDIj77zadcyuLxs1uLcdzeHKKliSFOBHbu4SjkKLrbKQo5YOceiVoMlJso2poTNHfysKeL/KKn/XeX5nJBGIYUuQhobm7G4sWLEUURKAGNQrpdAs93dPYe7kP0mlivL03oMK+f/Nv9IIT07Ni2tVyMarK1KURLiaGaCOzYlaCQI+huZyjmge27Bao1oKXE0FLi6OkE6erqHJaQ29t633K4v8rrZv0/u99Acy+ca1wAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjI6MzQ6MDErMDA6MDD0rJmwAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIyOjM0OjAxKzAwOjAwhfEhDAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 277028000
{'hecke_orbit_code': 216172782147346910, 'n': 1, 'trace_an': 4}
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id: 277028001
{'hecke_orbit_code': 216172782147346910, 'n': 2, 'trace_an': -4}
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id: 277028002
{'hecke_orbit_code': 216172782147346910, 'n': 3, 'trace_an': 4}
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id: 277028003
{'hecke_orbit_code': 216172782147346910, 'n': 4, 'trace_an': 4}
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id: 277028004
{'hecke_orbit_code': 216172782147346910, 'n': 5, 'trace_an': -4}
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id: 277028005
{'hecke_orbit_code': 216172782147346910, 'n': 6, 'trace_an': -4}
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id: 277028006
{'hecke_orbit_code': 216172782147346910, 'n': 7, 'trace_an': 0}
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id: 277028007
{'hecke_orbit_code': 216172782147346910, 'n': 8, 'trace_an': -4}
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id: 277028008
{'hecke_orbit_code': 216172782147346910, 'n': 9, 'trace_an': 4}
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id: 277028009
{'hecke_orbit_code': 216172782147346910, 'n': 10, 'trace_an': 4}
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id: 277028010
{'hecke_orbit_code': 216172782147346910, 'n': 11, 'trace_an': 8}
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id: 277028011
{'hecke_orbit_code': 216172782147346910, 'n': 12, 'trace_an': 4}
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id: 277028012
{'hecke_orbit_code': 216172782147346910, 'n': 13, 'trace_an': 0}
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id: 277028013
{'hecke_orbit_code': 216172782147346910, 'n': 14, 'trace_an': 0}
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id: 277028014
{'hecke_orbit_code': 216172782147346910, 'n': 15, 'trace_an': -4}
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id: 277028015
{'hecke_orbit_code': 216172782147346910, 'n': 16, 'trace_an': 4}
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id: 277028016
{'hecke_orbit_code': 216172782147346910, 'n': 17, 'trace_an': 0}
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id: 277028017
{'hecke_orbit_code': 216172782147346910, 'n': 18, 'trace_an': -4}
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