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mf_newforms • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 48, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 4, 'char_parity': 1, 'char_values': [1008, 4, [127, 757, 785, 577], [2, 3, 2, 4]], 'cm_discs': [], 'conrey_index': 323, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 0, 0, 0, 1]], [11, [256, 0, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1443142566896, 'hecke_ring_generator_nbound': 25, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 6, -1, 4, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 48, 11, 1, 4, 0]], 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mf_hecke_cc • Show schema
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'embedding_root_imag': 0.7071067811865476, 'embedding_root_real': 0.7071067811865476, 'hecke_orbit': 1, 'hecke_orbit_code': 1443142566896, 'label': '1008.2.v.a.323.2', 'level': 1008, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'char_conductor': 48, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 4, 'char_parity': 1, 'char_values': [1008, 4, [127, 757, 785, 577], [2, 3, 2, 4]], 'conrey_index': 323, 'cusp_dim': 368, 'dim': 96, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 1443142566896, 'hecke_orbit_dims': [4, 4, 12, 36, 40], 'label': '1008.2.v', 'level': 1008, '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, 7], 'level_radical': 42, 'mf_dim': 400, 'mf_new_dim': 96, 'num_forms': 5, 'prim_orbit_index': 11, 'relative_dim': 48, 'sturm_bound': 384, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, -32, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, -80, 0, 0, 96, 0, 0, -96, 0, 0, 128, 0, 0, 8, 0, 0, 64, 0, 0, 0, 0, 0, 16, 0, 0, 48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -80, 0, 0, 64, 0, 0, -104, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -24, 0, 0, 64, 0, 0, 64, 0, 0, -32, 0, 0, 64, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -80, 0, 0, 96, 0, 0, -120, 0, 0, 0, 0, 0, 168, 0, 0, 64, 0, 0, 0, 0, 0, -128, 0, 0, -48, 0, 0, 16, 0, 0, -144, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -160, 0, 0, -192, 0, 0, -112, 0, 0, -128, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, -96, 0, 0, -128, 0, 0, -176, 0, 0, 32, 0, 0, 56, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -88, 0, 0, 64, 0, 0, -32, 0, 0, 64, 0, 0, -64, 0, 0, 0, 0, 0, -96, 0, 0, 192, 0, 0, -16, 0, 0, 32, 0, 0, 200, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 176, 0, 0, 160, 0, 0, 0, 0, 0, -128, 0, 0, 128, 0, 0, -96, 0, 0, 160, 0, 0, 0, 0, 0, 96, 0, 0, 32, 0, 0, -80, 0, 0, -160, 0, 0, 240, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, -128, 0, 0, 32, 0, 0, 64, 0, 0, 416, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -112, 0, 0, -64, 0, 0, 32, 0, 0, 64, 0, 0, -240, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -112, 0, 0, -32, 0, 0, 448, 0, 0, -64, 0, 0, -136, 0, 0, 0, 0, 0, 80, 0, 0, -384, 0, 0, 352, 0, 0, 0, 0, 0, -128, 0, 0, -288, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, -32, 0, 0, -128, 0, 0, -96, 0, 0, 160, 0, 0, 0, 0, 0, 104, 0, 0, -128, 0, 0, -32, 0, 0, 128, 0, 0, 96, 0, 0, 64, 0, 0, -80, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -48, 0, 0, -448, 0, 0, 64, 0, 0, 0, 0, 0, 160, 0, 0, -512, 0, 0, 16, 0, 0, 0, 0, 0, -192, 0, 0, 64, 0, 0, -496, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -192, 0, 0, 128, 0, 0, -160, 0, 0, 224, 0, 0, 344, 0, 0, -96, 0, 0, -64, 0, 0, 512, 0, 0, -320, 0, 0, -96, 0, 0, -496, 0, 0, 112, 0, 0, 216, 0, 0, 0, 0, 0, 464, 0, 0, 0, 0, 0, 96, 0, 0, -64, 0, 0, 408, 0, 0, -80, 0, 0, -80, 0, 0, 64, 0, 0, 384, 0, 0, 224, 0, 0, -144, 0, 0, -128, 0, 0, 96, 0, 0, 128, 0, 0, 416, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 112, 0, 0, -32, 0, 0, -168, 0, 0, 256, 0, 0, 128, 0, 0, -32, 0, 0, 192, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 192, 0, 0, 240, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -96, 0, 0, 64, 0, 0, 176, 0, 0, 368, 0, 0, 368, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, 448, 0, 0, 64, 0, 0, 416, 0, 0, -160, 0, 0, -264, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 48, 0, 0, -64, 0, 0, 816, 0, 0, -288, 0, 0, -576, 0, 0, 0, 0, 0, 208, 0, 0, 320, 0, 0, -16, 0, 0, -256, 0, 0, -256, 0, 0, -176, 0, 0, 168, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 96, 0, 0, -256, 0, 0, -480, 0, 0, 16, 0, 0, -64, 0, 0, 0, 0, 0, -256, 0, 0, 384, 0, 0, -392, 0, 0, -160, 0, 0, 24, 0, 0, -32, 0, 0, -416, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, -632, 0, 0, 0, 0, 0, -160, 0, 0, 352, 0, 0, -568, 0, 0, 0, 0, 0, -288, 0, 0, 320, 0, 0, 48, 0, 0, 64, 0, 0, -208, 0, 0, -32, 0, 0, -608, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 608, 0, 0, 256, 0, 0, -272, 0, 0, 320, 0, 0, -16, 0, 0, -64, 0, 0, -80, 0, 0, 512, 0, 0, 128, 0, 0, -32, 0, 0, -768, 0, 0, -32, 0, 0, 336, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -160, 0, 0, -256, 0, 0, 456, 0, 0, 96, 0, 0, -192, 0, 0, 0, 0, 0, -80, 0, 0, -384, 0, 0, -432, 0, 0, -192, 0, 0, 584, 0, 0, -32, 0, 0, 320, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -296, 0, 0, -192, 0, 0, -304, 0, 0, 256, 0, 0, 112, 0, 0, 416, 0, 0, 224, 0, 0, 288, 0, 0, 112, 0, 0, -192, 0, 0, 544, 0, 0, -512, 0, 0, 96, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -160, 0, 0, 128, 0, 0, -64], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 17249081
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 323, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1443142566896, 'target_is_minimal': True, 'target_label': '1008.2.v.a.323.2', 'target_level': 1008, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 17249082
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 323, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1443142566896, 'target_is_minimal': True, 'target_label': '1008.2.v.a.323.1', 'target_level': 1008, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 17249083
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 1583, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505042769940416, 'target_is_minimal': False, 'target_label': '4032.2.v.b.1583.2', 'target_level': 4032, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 17249084
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 1583, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769940416, 'target_is_minimal': False, 'target_label': '4032.2.v.b.1583.1', 'target_level': 4032, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 17249085
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 3599, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769940416, 'target_is_minimal': False, 'target_label': '4032.2.v.b.3599.1', 'target_level': 4032, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 17249086
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 827, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1443142566896, 'target_is_minimal': True, 'target_label': '1008.2.v.a.827.2', 'target_level': 1008, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 17249087
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 3599, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505042769940416, 'target_is_minimal': False, 'target_label': '4032.2.v.b.3599.2', 'target_level': 4032, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 17249088
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 323, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1443142566896, 'source_is_minimal': True, 'source_label': '1008.2.v.a.323.2', 'source_level': 1008, 'target_conrey_index': 827, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1443142566896, 'target_is_minimal': True, 'target_label': '1008.2.v.a.827.1', 'target_level': 1008, 'twist_class_label': '1008.2.v.a.323.1', 'twist_class_level': 1008, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1591325
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 2}
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id: 1591326
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142566896, 'p': 3}
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id: 1591327
{'charpoly_factorization': [[[16, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142566896, 'p': 5}
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id: 1591328
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 1443142566896, 'p': 7}
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id: 1591329
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142566896, 'p': 11}
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id: 1591330
{'charpoly_factorization': [[[32, -8, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 13}
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id: 1591331
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 17}
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id: 1591332
{'charpoly_factorization': [[[32, -8, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 19}
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id: 1591333
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 23}
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id: 1591334
{'charpoly_factorization': [[[4096, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142566896, 'p': 29}
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id: 1591335
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142566896, 'p': 31}
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id: 1591336
{'charpoly_factorization': [[[50, 10, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 37}
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id: 1591337
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 41}
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id: 1591338
{'charpoly_factorization': [[[98, -14, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 43}
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id: 1591339
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142566896, 'p': 47}
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id: 1591340
{'charpoly_factorization': [[[10000, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142566896, 'p': 53}
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id: 1591341
{'charpoly_factorization': [[[4096, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142566896, 'p': 59}
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id: 1591342
{'charpoly_factorization': [[[32, -8, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 61}
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id: 1591343
{'charpoly_factorization': [[[98, -14, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 67}
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id: 1591344
{'charpoly_factorization': [[[50, 0, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 71}
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id: 1591345
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 73}
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id: 1591346
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1443142566896, 'p': 79}
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id: 1591347
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1443142566896, 'p': 83}
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id: 1591348
{'charpoly_factorization': [[[-288, 0, 1], 2]], 'hecke_orbit_code': 1443142566896, 'p': 89}
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id: 1591349
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 1443142566896, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 22, 'hecke_orbit': 1, 'label': '1008.2.v.a', 'level': 1008, 'portrait': 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RPQGQiGicdKX7B50rDUNpycV9Q8n80zsH1DxKbZIRtnQzbPhmzfZNm5WXHFDo+6anLs5ARffdrn0YMJT56ISVWXN72szdteYqmrWQ6emOLYWc2ZCynnM3AfXrTceNUCP/ddK+yYm+TshSkurNRYansstyXtbkq7l9IZwIGjixw9077imWOLL99/aumiQ2eWvnDLa98Z3fOFDz/fkPi6bv+gGfzCUgdrUhDilx954shLfv53PyVfd8ORl/zEW07ple4cK50WS6sNlto+S23NUhuW2ynL7Zil1ZTzq3BkSbBhbpX//D1LvGhvg1PzM5y90OTsomZ+yXJ+MeH0QsqFbsLUzJCXXtPjxZeDL+sEKmB+uca5Rc35ZUE/hCQx1HxDs5YyPZlggBPnEzo92LXJo1kPsVaA8OkNDDs3hyytarBOiqz2IEzAYlluR2zb6NEdKISyCBMyUfPYuWXIal9w4qwmNZrZCUmrJgg8SBJBP5ScX5acW7LMryQEwRC8hJuv7PGSqwQbJuosrUxwaj7g7CLMLybMLyecWYYjS5YXXrnIL37PCpunJjh5fobzS3UWVnwW25Ll1ZSVTsxKJ2W5a1joCs52BSurfX79J6LkbS+buq+15Z+Z5uTe+4zhZ5Un0N7U8w2V57z9g2XwP37/x3jFS67nJ37y3/3SBz5y+//vfR/68iUHTq5edOBMV778mjZ7tqSkRmOtwmbsjZWABARCWLSw+BLOLtV58LDkmj3LXL5jSKMGnpb4nsL3Nc26pOFJ+j2PA8drfOlRnxMXQjpJzIFTIZtml3nzS1e45pIuL7y8zfHFhMW+oBEMOXrW0u40ufpiyeowZd9xRauheeYEXLrVMoxShqmP1jHTLdh/KkDpFE8maA8GoeRFl/cZ9CXXXJLSGaScONti92ZFsxGxGlo2TvVZ6XX48O3w+LGUJ48N2bV1iWsv6zA9E/HGm7t86ysseza3SOMpjp2Z5Mhpj1PnDacvxJy+kHLkguDkaswL9i7wn7+ny6apKU6dn2F+qcHCqs9SW7LSTml3Y1Z7KSs9y3JPMN9XLHcSbrx8kR9584IMlL1oeeHYbmMGN9Umd9f9YPbLTz70V/zeH37o+YbMurd/kAz+iU9+kte+/BL1px9//D8dOHL+Pzz4xAm10o3oxpozfcNVO+f5jR+5wHV7mswvTbPUbrDcrrHc9ljuaFa6sNJOWekkLHcTFttwakWg60NuuWqZb3tFxO6NTVZ7E1xYrrOw7LPYFiy3nURY6Ro6A0MntPSHCbMTMTs3GUAQeJbTFzyEDNi1UbF7q2Xrxj7zKyFPHGpxw6WWRn2Fpw/P0GpGRJHH7LRhMIQrdg754O1TXLYjIQwtc5OSOB3QqgU8c3xI3Wty3d6EJ49GzC/5bJsN2L0Fdm6OUCrm9CL4nkUIy65NCdMtSXcQ0Ot7dPoeyx3F8iostQ3L7ZTFdsr5NiwNU3Zu6/Ftty5yy+WamjfBucUJFldqLK5qljuClbZhtRuz0k1Z7VmWenC+q5hfTXjRZef51R9Z4pKtLZbaE/T6HolpgL83RW/7pSdOXfmLu+eOp69/w1ueb+isuf2DAvjBgwcIglp9/tyZnc/u3//Ow0fP/Jcnnj1JbyjohYLOEBb6irPdhBsuPs+v/8gy115c58LKNEurDVY6NZY7HisdzUoH2l3DajdhpZuw3LHMtwVnexZEj7e9rM0bX2S4eEuNKGqw0q6x2vNpdxUrPUG3LxiGliixpCkoaQk8qAeWqQnLxpkY7Q05ci7iqcMBJmny+psitLfKI/smuWgLfO7BhJddHXChPaCmFUkaMzMNSeyhvYSlpQYvvb7D5+5vsXsLPHwoxKPB615kSMSAp46kHDtdQ0ufTdOa6aagHgh8X6AEJAai2DKMoNu3rPYM3b5htW9Y6lkGacqu7X3e+OI2b3tJBKbF0uokF5brTm93NCttWO2mtHsJqxm4l/twrqNY6KS8cO887/6RC1y5q87CyhSr3Qa9gU+357G4KjF6O35983/cs+eyj+zcuf3kcDgcXHLp3ucbSsXtHwzADx46xIa5Df7hw4e+79jRw7/7zDNPi8Xlruz0Ujr9lO7A0h0KVgeCCwPJuW7Miy65wK/+4BLXX1JjcXWKpdUmK52A1a7PSlez2hW0u5Z2L2W1m9DuGVZ6lgtdwbm2YXqqzze9sMvNlyfs2qSYqHt0ujUCTwKKKJEYIzAW+kNAGKZbQw6dsRgbcdvDTcJ+nUu2+dxyTZ/YrHLXo1Ncd6nHofM92isTvPiaPl9+JGDTjGXfCcu/fGuHfccDNs1IvvSo4pYrFMv9DkdPzXDd3oi7nhqQhA1uvtJnz44hg6THFx9RkAqOnNZMNDRaQH8gMVaQGkucANKgfUO7Z2m2YnZsCXnJFX2+6YaE2WaN+eVJllbrrHTcsVnpCNo9aHcT2r2Edi+l3bcs9yXnu4LFbsJNly3wSz+4wLW7ayysTrLabdDpBXSzFaPdVSy1ITY1c80119hLL730x3bvueR9S4sL0e7dlzzfkAL+gQA8jmMZhoM333f35y9Z7STvfuihhzwpFVFi6Q8SeoOU3tDQG1q6A0E7A/nZdsLNV1zgl39wgRv2+Kx2JllYadHu1Vjt+qz2NO2uot2Hbs/S6Sd0eim9gaHdtyz0BAs9iNOQay8dsHkmpde3vOHFIRdtNiSpREtLFMOdT9Q4eaHGlumEp4/UwDS4fLvi+ssMQa3PI4f6LCw2ueqiJhNTK9z/pMeNl9ZY6q+ysjLB5s2WB/cpvvNVPR7ap9m+0WOx12ZleYbrr+hz/9MpM/Uprrqkx4V2mwefnaKum7zwMsvenUOQPZ44Jtg4EzO/EHPXEx7DWCElpMZy0ZaIb3pxRLen2DptuP5SiKIGy+0Gy+2A1Z5Hp69o9ySdHnT6KZ1eSref0ukbVvuW5YHkTEfQHoTcsneBX/yBFV54qbs42t06nb4Dd7ev6QwU3b6iN4D+MMVay3XXvzBOUvlTb3nLmw43G/VPa+2Z5xtbz3smM4l6mLT/PRdOP/QbywsHZ06fWWV6UhPHAiEtxihcNh7AWYBCWKS0SKl56OAmfvY9mrfessy3v2qZ3dsizi9NEPh16oFPI/Bo1jXduqQ18JhsavrDlN4gZVNoGISW7jBgeaHG6VOWKDGcOZ8QBBYQ+MqipaA/UAg8kr7mBRcJ9my17NzWJ0y7fP4hxf7D07z2hoDrr1jhA5+3+KLBRdv6PHm/YtuUYm6iT03ViWKPC11o1jTbNwke3x9x/d46r7hukfd/ZoDvtXjNTRYv6POVByM+90CTZ4/VuXhrg4u2pGyYjtg9F3P1RSlKGbSygKURBGyYCohij27f5+lDnitRGCh6Q0lvAL2hpdd33707SOkNLJ2BZXXgpN/8iqUx2ebHX7/AP70l5NqLm5xbnKDdq9HNwT1Q9AaK/kAyCCGMLHHqpNKddz/k1RpTv1FrbVx+9Stu+sl2u//+ycnG84qv5xXgNm0D5gdWz9/xy+eP3T4jk4jpVo1+qBiGIIQAWxo9QoAUrpNGSYuSKb6UPHloA48dbHLo7AXe+pIeL7lyyFRrguV2g2anxsTAp9fX7uQMJYOhph9qhqFlGBmi2BLHliR19yjxsQakEnhaUPMFUy3BdAs2zxm2b+ozN93mC4/A3Y95SDPJa2/weMHlXe59NiYaTnDLCwTtwYALS01u3muYm+pT1wHDRLHQiVFG8IK9mkYr5NEDNV5+/SQvvrbLowcU2EluuNLn+9+0zJcfj/jSQ032nayxc4Ni80yd6VaDyRbUA/C0RUkwFvYdE6SpIE4EUQJhjPuOYcogNAxDQ39o6IeG3gA6ISz0JBe6EJohr75umTe/pM13vMaQJBOcX2zS6dXoDnx6A4/eQNEdKPpDQX8oGISWQWQYhilhZOgNU5ZPn+WZY1+YudC2/+1db3uZXmr33zP7PIL8eQP4sL9CFMnvb1/4yi8vnf7sRpuGtJpNIEVKkFIihEQIgRAKIYR7XxiUBKUsWlk8Zah7gsV+nQ/dvp2vPNbhZVev8l2vXuXq3T1mpxosrTboDgL6Ay8DtnL3SBDGkjgRJIlb6vPVQkmL1lDzoVE3zLRitm3sk9Dj0JmYD99V4+ipJlNBnRuv1Nx8TYcHD7a57asT3HRpjZ1b+nzwdoESAROtmNVeiLGgBGyY6NPp+pikzptfdoEPfa7Bnvkab7ypTxQvcddTs8RpjRdduZE33tjh0h1tvvJonydPNXjimM/2GcnMhKARCHzPXYRSgBAWY8EYS5xkF2tsCWN3IQ8jGETQHQpWQsFyF4Qect1lq3zXN63ysitTZifqrHQatLt1uv2A3tCjNyhXgn4oGQyhn104w9ABfBhZ+kNLYhUXLrR5z4e+tFEI+8vf+daX2AuLK3+ycW76fw+Ar574H8y3d3Lh1Oe/Nxr2391beXzOJB20qlHzU9JUYHFsLQQImYNcoqRGyhSlRLY8GzxlCbSlrgUrQ8VSe5qP3tnkgad73HLtKt/1mlWu29NmNq2TJAH9YY3ewGMQaqJYESeSJJWkRmCscFlQYQl8Q6OWEPgRvhdyZinkMw9LDp/2OXZ6GmUC9mzxuWK34obLO6hggaeOtNg21eCqi2HzhhWWOxNcvU2SGMsXHgoI+5KpZsLrXjTk03fFnDzf4rJLPM6tDnnmqMeOTdNcu3uBe5/scv8zgjDyuXz3DJfvCLh8e5cj55Y5fAYe2t/g0NEmDS0ItKQZWGoeSOmCKmvdxZqkECUQpbkLJejEEJkEY4e88NIO3/VNHV52dcqWmYDhcJKldo1uL6A39OkPNL2hoj9UDELBYOhkySAHd5QBPLLZCuEcHSkV7eVVPvRXX9k4f/bcu1utZvLeD3zyA3fv7/CeX/ruf7wA/7/e/X4md/4NK/tu/Q47OPlb4erZKWUtSkkgpWaSgkFlBnAlQUmBUgKtVPZo0CrF0wJfG3zPEniWhp8yVRN0Q4+VzjQfv3uC258Ysmm6zztvbXP5jiHDQY+rdlt2bFaEsUeaKlLjEkUCi5QGT6ecmLccOy9YHRg+dW+DM4vT2MhjuqbYOqvZtVlz8Ta4ak8HIxf5o083WV6e5KbLNVftafOVJwQi8dg4LWk2Evqxj7QSrERpn/ZQML8suNI2uPWGLvc9WmfrnM9NV83wz9+0yPs+1+WhA016Q4+l1Ra7t9a5bEufF+3t8i0v73J2eZlP3Ruw1A84cc7jzBkfTwm38iEw1pIaiI0lTQzTszHXXNknDGMu3xHy9ltDNk4qZloBcVzj3EKN/sCnH7pVblAAWzpwh4JhiFsJwpRhZAijNAO1u/cjGCaCKBUgFcfPtXn/Jx+c2717229df82W+D2/dPFfnDvym2zZ8xP/+AD+i7/+l/zMG18uvv8/8I6Z4Jk//tabHm1ceVFAfxgQJRoZe9lvWsi0tpAWJRVSSpSUaCXQKnvUAk+n+Frge4aaZ6nHlkZkmaylTNcF/UjSjZocO93kV/9iBkyCSBJuuKbP7s0RSQLGGqx1SRwpBFIJtOdz4KTPvsM1mjVNy5fMNQQbZiUbZzRbNyh2bUm5bNcqqVjitz8xwYmTU9y01+Pyi1IGSZevPhUwVfeYnbRMtSIadSeFjJG0h4rlnmWpndLu1XnpVas8vK/P/pOKqYkaL7pyih988xK/80l49HCT3sCy2tXML0+wea7Bxukhu2aH/Nt39JlotHnyGBw4JfE8i1IWIYw7jtaxeZLARZtTbrk6IY094iTA2gbDyOP8os8gdCvaMFKFfBtEgmEoGEZlMDmMUsLQEEaGYWyy9/I7DGLBIBb0Y0EvEfRTGAxSmpNPTr3qqnN//PMnl5Pj8//moyf3zdidV3zvPx6A//Yf/AWX7ppSv/zp29524ez8B95332Ltqf0N3v3DK+zdMaQ3qDMIA5Q0SGGQ0qKkRinrgkmlMr0t8bTTnL6nCD1JGBmCKCWMLfXYEMaGKLJMJBDGhjCBKBEMY0mYBsRpjf2HmzyxH1JrcdB22tiT4CtX89EK4KotMFGHyaZkuqWYndJsnIGdm0O2bFgltsv89icmOXJ0kusvVly8XbJn+wp3PJMwvzTJDbsl0xOGmj8gkAFWCZJUIqwlSSNWejXmlzyuv7zOC/Z2uffRGpumBY1ai+v3Gn78bUv81icNz5xpsdozrHYVCyuauakm0xN1picmmWjEbGjG7Lo+IvASPJ2gVIoUNqMLd1HFseLCgiZOFHGiiGJFGGePkSSMJWEkGUaSMBIuQI0EYWQJI3dcwyglijJNH7v3hxEMY8Ewhn4k6MaCTiLoRpYkDHnBrmV+6QcWedmlFxqLC60PeOJ95uzqJZ948qEPp9e+6Nu+8QH+U//tQ5wa1tTJxy68feHMufc/u/9ErdVs8IWHN+L/Scov/uAqV2xP8FRCT6ZIaVAqu0sHcE9ZPK3wtMWLJL4n3EnwBKGviGIH9Di2REnqXJGkck8hSS1pakgNTm8bCnDnUkhL8DwItKAWCBqBpNlQTDYk05OCjTMJuzb3aTVX+cR9EXc9NcPq4gTX7FTs2uJx6Y4hqVjlCw81aHqaDdOKVmPIU0fg2aOaq3dY+qHi2ktjrtljOX8uZWHFZzBs8Pobu9zz5IBDZxTNuiTwJ7j6YsMvfu8Sdz4z4NN3zrHUsezamLLS1kxNKCabHq2GR7NuqQWGwDcEOkUrJ7WkdOfAWlzCyggSI0lSQZII4kQSJYI4loSxc16iWBDFliiCME6JYkNUIY4wrt4duAcx9GNBJ5a0YxiECSIZcP3OFX7hBxZ57fWKpdUW7ZVjtVg2/mzThuifzc36H5s/8kfppj0/9I0N8O941Vl5folv/50PD3//+OHjNd/T1FJBv9bgb+7fRBRJ3n5rh3e8qsv0REK3n6JlkOlsp4c9rfFiTaAVQ88xTehJIl8QxcKdnFgRJxDF0jkISWn7JakhTZ27kNrMKcm0fu7OKOlkj68FgS+pBZJmXTDRsEy1DJtmQjZMd0nsKh+9R/K+z82ysVbjmp2CnVs8Ltpq2LVlhU981bK8XOPyzYrpCWg1YuaPSy6sBPi7IYwFGyYlU1Nw6JhlpWM4v1jj0otqvOqGLp+5u8ZsCwLfR8kprt4j+KE3XsCTF/ibe6d59kyNTZ2YjVMJk01Fq65o1CX1QBP4EHigtXOYpHCxTAFy3IWdGkhTQZKSAR3i1BIlEMepI4XYEOWPsclsx9yVySzIxEmSXizoJJJubIiGEZNBh297/RLvuLXHq66TdLoNwtgDoUkGB2rRYNsff+z27brd9/4SxzPfmAD/9T/8a770SPq9Z8499OtPPrs8UdcaC9SlpelJujT5wkOSrz5d49zKEv/ybX2mJxLCIKbTr6G1j6c9PO3hRymRp/EjJ02i2KXSHeMIx0QZKyUJxCmkqXMSjHEBlzE27+HMwO0A7gJXgacdQGoBNGqGVj1hqpWwYWrA3PQq9+2P+LPb6hw4NsVFkx57NsP2zT7bN8FlOzv0kw4P7pugrjw2TCumWjDVCpmeTPB9jRDu4hqEPsudmNW+pd1LuLDis3NzixdffoHbHupz4MwEjSDGUz5CTLJnm+K7X7PICy+7wJ/d1uLBp6dY6mk2TiRMNRIaNUm9pgg8QeBJPM/FKkrlwbpDucX1sBpDAfQkNdnqllmLiSFJHbiTGKLElvfYuTLDxJFKP5cjCQyHCSYZMFvv8mPfusj/9a4+9SCg024wCAOSVCGFpVGDqH94YrYW/vZrb3qh/87Df/m+rZe86xsP4BcW22glf+C//d4nfvnTX1mZ1VKipMUiCLRlEgNC0ZMNVoeKX/+Ix74jK7z55X1uva7HprmIbqfOQPv4nk/ge4SRJvCdvZcDPI4lUeKW3TjJPO2UzPojY26JsZTgdknKjLlBK5cw8T1LzTfUawmtWsL0RMiWuQ7z7T6/+ymPLzw8w/JKk0s2CHZuFGzb6LN9o2D31iHaX+VDd2mOnmqyd5NkuiWZbKZIGXJmwRJoiRRgrSCKNbs2dniIlE5fsdKxzC/X2bu9xrfc2uZjX/E5Ph/g6RghPIxtEieSG3avsOtdHb7waJ8PfmGGR4432TYtmGumNGspNV8QeALfc7GKVrjAWYqiJsPiLjJjcU5L6gCfgzxJnaRzYIcodbUuUZ48SgSDBLqJpJvAIDKk/ZDtc11ecf0Kb3l5nzfcaNCiycpKjSgOCCOPONEYI7BWIKXPzulzszbpv3vTpe9SSbTyHu1Pf+MAfHllFd/X//wTn77rlx97/JmNLQXSz7WgRQmBxGUkPSHoihrtSPOhO2rc+WSX6y/v8K7X9HnjTW1mpwIGw4BB6BN4HlHiEcW6CJSSRBGnkiSRxKkgSSRpKkiNKLW2cd66zcAtsqVbKec6eMrge4bAT6kHCa16yNxUj0E84CtPWT58xyQPPj3FtO9x9TbLlhnJplmfrRsk2zdFXLxthSePD/jUPRuYVJoNk4KJpmCiEdPup3zuqzVavkUIB6xBqHnzLSGffcDVxLR7hgsrmu0bW7z1JT0e3N9l3yGfZpCgpHAgNw2GkdP63/2qNnu3XOBDd3a4/9kpTq7U2TwhmKxZGr6hpg2+B1oJlCRLkLnvnZcfmUyqGVOucEkGdEcQEKeCOM2AnQqGiaCfCHopLuaJIpr1Pm997TLf/poON+xN2TTtMRg26fR8osgnjPPzpUlSV7xmIw+B5ezpAxtTee8vb9t9qxn02++tN/7+x8r9vQK802nT6/bwtfyeu++679e+/OXbZ9PhCrMTkjQ/iNnBUxJ0Ap60BFLQlR59T3G6E3D2gQYPPNXjY9d0efurBrzuliEzUz5RGBAmHlHsGCHOgJ6kiiTNEjZpCXBjM+Y2ZU2ZEDYLKl0dh9YG30sJ/Jh6ENGqD0gZ8OVHJX9x+xRPH5tExAEXTVu2TFnmphQbZnw2z0m2bojZubnDqYUuf/DpJklYZ/t2wVRLM9GEiUaM8CI6gyZTLYsQAmshTiQzgSIxCd3Yp9tPWekozizUufLiFj/8T1Z5918GnFhoolWcXRiaJKkxjCSbZwNuuKTDNRf3eObEGT58R53bHpnibLtOM1C0fGh6Fl9bPAVaunS+EKPVdQawxl10qRGkFpJUOP88FUSpSxINUsEghUFiSZIEE4fM1ga8/tWrvPPVXV52dcxk3SOKm6y0A8LYJ040UeQRJSo7V9k5MoI0dStuGA04ee6ejYurwa/tveKFyfnzZ/+0Xm8yOfn3B/S/V4APhwOareZbHn/isd+55947J0zcZXZSM4xKJ8Mxg0UlzrXQaW7PGeqpoK98+onmQljjbx5octfTfV70pR7/6lu7XLGzw8YpxURDE8U+UeKRJCXI0xzgRmKsxFonCWwRUGapfmVdEKsTAj/BUxGdQcxCJ+Y3P1Hj2IVpHt03hTU+s3XBxjnL3KRgdkIxO+WxaVayeTZh24Y+s1MrfOExwyPPTnHNdsF0S9JqSCYahmY9QnghQaDRyv19ayFNJYNQMxjGJEbQHRi6Pctyx+P80gQ3X9bjxVeu8qEv1agvK7SMHSCtJkl9otj1eM5N1Xjhnh4vvKTHQ684y4kFyZ/dNsWF1QanlwJ8JWl6Aj+XYdIFngWR51IFx+SJFSQGYiMIUxgmEBkLaQJJjFQhW6cHXLPLnY8br0iZqGuSpEm764CdJDojIFWstE46yiJrnCROVg5DyWqvz/Fzd84OQvU7L7juupXBYPCpv09M/r0BfGH+IHMbNqnPfvqjlxw8eGSi1+3QrGuEMEhpiGIX+MUpqMRm4LboVOApi59YaqmgoQQDJejrgEHqsRTVue2RSe57dkAzCPlnb2izfTbhoq0Dbr6qixauRUwIJ1dcVtLVSltbYW6yxJFwnrklAZnwzDHJw/s1n3mwxTMnW0RJg5ZWbKhbZpqW6YZ1PviEZmZSMzsl2DyTsHXDgC0bVrjr6ZA/+sxGtkxpNkzARFMx0RS0Ggn1IOS+g4phpPGaDlTWCqJEUtOK6/YOeOCpKVf4NEhZ7XgsrgbML07zw2+c5/TiEg88vgFPAiLGQAGgMJL0BprpVo2piSYv3tvnFdf0edcrF9h/yvDZB2s8uL/OwaNNEqEJQ0U/VqiivqcaeGY5AWtIjMUagydSJv2IGjEvvr7H7i1Dts/FfNfrQuq+pFn3iKIG7a6fraQ6IxxVeO3rgTs3AqJYMIjc43K7zT333jNx6vTZS77929+pHn9yf3rdtZf/wwH44088w2Jn2j9x6sHvw0a/Phws43ma1KT4fgYw4VhbSUsiXXGTUtaBPAFPCjxjCVJLTQkaqSA0MEw9BqlHP63R7ab82oemsUnMpg1Drtw5ZHYy4e2vGrBzY0Qci0xvS6gwN5n+lNIgpODjd9Z58kgToTUnzjY4M9+gVldMBoKppmWiZpioQasumGwoJlqK6ZZmdgrmphI2zQ7ZtrFDalf5+D0TDHpNLt1umWgoWg1Jq25o1RI8L+ILD9QI+xJvo+sWzSVKs654/YsG3P2YoRdKeoOUTl+z2tWcX2pwxe4Wb39Zh0efaXBiuYWSBogzvewRp4owdomZ3lDT7vm06g2a9ZArtg+56bIhpy60OX5uFe2lPHFU87E7GgjlCtcQcvQkWgMYsJY4Stm1KeGdrxowN5Fy2S7LpllIE48wapEkHisdjyRWxKnO4iAH6BzgLibKC9lkFieVRkCUuFxGnLhiujNnF9i8ZeuvP/H4V/svuPbS9508/nS086Kr/2EAfHnxNLXe4t4TJ0//7iMPPywnWh5SCpSSeNqd1aKuJHWp40RalBGkidOJcWrxUqcBA22ppZYkFUTGEqWC0EjCVBIZj9jAQm+CO540WFL++kE3sgFrsnuexcsssqIiUSKVIok10mg8LWkFsHuDpekZGoGhEUAjEDTrklbdyaHJlmR6AmYnEzZMh2zd0CVlhd/8qxr3PrWRPbMw3cjYuyFp1RMa9YhmY0C93iBQzkESwgW7xkAcewwHgkGY0g0VvaGhOzCuZa7pc3p+kpdeGfLj75jnNz6mObkaIITB2hiTWuLEI4olw9CVsbYGmmbNp1Gv0Qga1IKYVj3ihksjfC/mxksTvuvVfbRKsiSQQQg7KsozSWeMq+QMPAX4DEPN0op2dTtpHvNk90SWMVBFgsRp6WwViaXKY5zZu3Hqsq1KCg7ue1jOTOrf7fbCe6Jw+PTfBzb/XwP8vR/4GGcXbH15Yf/b5s8dFUIohqETeEoKPCUAiZAWmdgsDW9RqQN7qlzQqVPX+5hUg9FqZG9E+doIIiNJrCQ1mtgEpJntVb0VWUoBWgiXqVRQq1tq2lJTKYEHgYaab6kHgrovadQljZp2AG8KplqGmYmE2amQjTM9tm5c4o8+Y/jgbZvYMaWYaxkmmopWQ9FsQKOe0qrHnFsyHDkXUPPdygV5pZ9gGGl2bzZsnhvSGfoMhjZjcclqV9Oq12g1pviuV1/g6Lnz/PGntqGlxmJITUpiLHGiCSPFIHJFUf2apDHU1AOPepDS7roYw/dSlzDzUrR0jRJSunS+yO6udEUAIgO5oG2yKkvj4po0lRgjSUwZ7ySpqAT4+fPKY5LVqKcie525M1mCKc3SPPWaAlvj6aefFdfJ8G1XXbn7yMP3f2Jw4y1ve34Bvn1z3V9tr/7M+fn5n7mw2JeTLQ9rnf+qFIAsiqekcOBOpS3kSWJcoJmmWYbNZCBPKZwXd7dlmj2rlHNerigCparmBrJMngustDRO9yu3YnhK4GnrfGMtqAWSmi+pB4p6TdGqS1oNy2QzZaqVMDMRMjfdZ+emJR48GPKhO7cyXQvY1DJMNIQDd13SrBmatYRWI+TBA/DE/gaXbLCZ7i3T5oNQceNllkt3Dnjo6Sn6oWUwTOkNdAZyj0atTr02xbe9fJknDl7ggX2bwSqMSV05bGJJYlvUkwxCTWNoqdcUNd8Q+B6BnxJog9YpnnbZ4bwMQkp3ThAWQannyuDclRCb3JEyuf1asWJzYBsH4PJ1ni0t72lmPaZp6aalqTuPiGyUh47k4sLif3p6/6Tv+c1fAqLnDeC9Xl8Oh8Nf+MhHPvSTvc6CP9nyXAYtk3dCZIX4WZJHSkuqXEJBpe65Nu61O3AWk1I8T/OMm80zbxaTZeLyZIW1lkrmfWTFzVPVeUJHySxjqagUbbnsX+AraoGiHggadUGrbplopEw2E6ZaIbOTA7ZuWOGBAwN+4f2bOHl6iovnDFMNmKgrmnVFswbNWkq9FuN7Q9pDVw3pKYuU5SdLjcgCLp+Jekw/MfSzOuv+MKXbl7TrikY3oBa0uGhzzC9+X5uf/4Dkq/s2YVEYa0hTQ5ImRIkhihXDSDEIJPVQUfMlgW8JfEWgDZ7n/H6tbFbrk62mmUwRwo426GapfZuRiM1qWdIM8KkpHx0ZyexRlADPn6dlaUC+OhcEluYJOEFscRf3kfP+bjvxU+94xzd54XDwH4Na/e+czv87A7zb7WJM8ksPPnDvT8yfP1WbaDrdnXutRbbMCKe1M4Ab4xg8VTb7ghaTPzcCY2yRRjaFRwvWWNdFnpWAVu+MAbxolsjBLfKacmeX6awVzdOSwHcDgGqBG8lQDyzNmqHVSJloxEy2ImYmBmzdsMoD+/v8/PvmOHByhl0zzmFp1SXNhnTsXbc0aimNWkycRvz5l1pIpfCkRYnSJjQ2X8I9vvu1K3zxkYhuFNDPAN4bKLo9RTvQ1PyAwJvgsh0J/+X7l/i59wnuf3oTxkpS49LqceIKzcLIENZcuWsQCGqeIPBdZtPXtsjYamWQynnjUljXKJEDvEx5AhmJ4HIJzm3JAvkcwNnUAVMk18jYnWLFTavANmSElieYrItvsz8Yxe5DHDt2onbvvff+m5e9/BWi2+3+bKvV+v8W4BfOH8Ua8+LTJx6vN4M4T5OVwIORmgeZukAiLdLDObhz+eHeM0WtRNl+5YAuXB1FDur8wI99rhzgeQ1GnsnL2VvrvO5E4nnS1W/4glrgZp40gpRm3YF7ohkxNTFgw1SbB/f3+YX3zvDMiTm2TwtmmxVpUtM0a65+pV5LqAcRnhdyZmkaTwmUNJktVwaZaSpJEsWWaUuSxHTiWtYpYxgMU7pDSb2vqPkevlfD05Ncvj3hv/zzBf79n8ADz24kNdIBPLXESZoxuSEMDLVIMvRVIcE8DzztJJqrU3FWrcy98exxHYw7uUKWFEIUySGTJYfybHEuN4ypAhxMFk/lZQH5ua6e85KsLFhBtxdzxz0P1uc2bXuxGHd8/lcDfOHkXzE9s9C46/Z7/Ja/jJgUWZBhizkiTlqIEuQqP7GCVDqmTjUF2EeBncsQWwDd5nKkcgGtd5OiLKJyvZ2iALeSMmuUyOUJ1DwIfEO9ZqkHTj836jETjYip5oC56TaPHBryc++Z5qkTG9g6pdjQNEzWBa2apFFTNOqCes1dHC7VH/HAPkFv6FNTZBeZW93yJoTUCOJE06wpbr6qy4PPTNCPnUwZhCn9gaIbKAJf4Xt+pp+nuGKH4Vd+8AI//Ydw/76NxEYSG5M1S5c9mKEvCXzj2Nsr6+i1yu9kMqWUcTLL8q4H8jwpZHOAZ4BPC+eFdVdek64FdM7exT0zCAoyy3pKF9pL/OH7P+W/4rVvavz3P/lc/998/xv/1wN82D1I0Nw1NX/0L/5gsrH88kEjREmPMLaZTWRHruDyi7v3HGOXV7lRYn3WrgC6vMLLpmAy7V2cDOEKioTMtb8owO0ADiqrGPQ0+B6uE8jPCqyClHomL1r1kMnWgOlWh8cPh/zce6Z54vhGNk9pNjQMk3Vo1gTNuqJRVzQK9k6pBQmtxpC7nvBZbdeYni7T5DlgjMmdBcXGWcWrX9DjroeN66KJTAXkkponqXkaT/toXUdKwxU7LL/8gxf46T+03H9gI7HRxFkFoCt7dUwexLKoLvS1ROusCEsKlM6PDcXnq0pMRL7ejCaExu/GVuVo5bFYecfY2oyyeP47aeV9V/Zs6Q5S2tHw5QcPHf2Tf/+vvvVHXnHzidUbr971vxbgYe8M0XDhpwftw99uk3nqtQkgRUlLpKyzhUaCj6zY3laCRlNe8bn8SAsZQsHeI4HkOHNnSM8zcoX2lnkFXam784pBrXD1Gdriea6xuOYban5KvZbQqMU0ayGtxpCZyTaPHgz5mT+c4/Gjm9g45bGxkTLZsBm4M/auSeqBY/9akNAIIhIT0o0ChJJ4OYMXGlxk7Jb5xbFH0x+6coGoxnQO8mFK33cMHvjS1cTrfANay9UXWd79I/P8u9833L9/E7HRhKkgSk3G4oJabAg8i++53lWdxR1auRJhJWV2fHIzQFRWQHdUiwuzGuuMgbsgoQoxVcFdgLpKZCPgLgPO1Nis8cLlP+bPLBE8c/zbb7vziSPDMP73/0sZ/LF9Rzm4umvXVP83rjH90yilCHSC8dxRkBISJUqQK1EJHEXJ3JWa5FzS2DyYtGUgVjJFmZW01TUzZ+1qUJkvt1mHjsqCKa2zzqCsCCmvHqx5aaabY+q1kOmJPpPNLg/sS/jZP5rjsaOb2DCp2VBPmaxZWhm46zVnJ+bgrgcpNT9hohmx77jlzkeb+FLiKZMFcaVHkS/fcapIjObWG2IuubjHkZN1NjQo+xzDlP4wY2Gt0NorupyEsFy1C37lhxb5939ouOeZDQzjukuGJZZGVsMdeDiQ63z1MkVvq1RpscIpKSoAFxWQs0avlCC3owAvKhTLlXe9lXn8vSrA81ol11QhkFJx+NhZbrv7q9f85s+/a5eN950Q3hV//wA/fOQcG2enL/rEl+//7zPy3FtesH2RJJ4i1gbfpBmbWqR0myel6bidZAsmr+p0UzB2VtZaeNpjLskatyRj7nFwC4tUuS3owKBVxtra4muD5xkCzxD4CTU/oRZENGohM5N9Vrp97n4afuUvNvPk4TnmMnBP1S2tuqBZE4VX7pwX49jbdwCvByFRmjIc1Kgpd5FJUVn6yTVrVlWXaKfldUgYWQaxqADc4PspvqfxPOmmCkivADgCrt0t+JUfWeHX/jLh/v2znG1PMGxKplJLK7HUsokDgWcz7z93UmzB3rlUyQFefN7sQ1dxXijE7KTkq2oJ7lFJ6ao5K2AfA3opTcpA1FUxQmwgtopzS30awZm3RKuPpKL+yn8z6M4fr7c2/f0C3IQnWF1evGlSPvs2O9yHUp6rL8lKTt3Q9xxU0rF3WvVO877ALDlj8uXaZgdAjETTVc1X3kZVYX4S3LiHnL1tJk9sZTiQ+4yeNtmYibQAd+Bn4J7psbAy4Jf/vMGnvrqBxd40GyYlG2oZuGtOdzeywLIeSBqBzRjcae9aEAERtz/usxL7zAaM1GMjRleoNHXNDxOB5lXX93ngQEQ3DpgsOtYNfuhq1X3tAK6VRUkPIV2CBguX75D8xr/q8NkHBvzSezdxenGawZRmyhe0EkMjgSB2o5d95QYaeXmgKUURBOeP1UC9emEKUfSKFOcHxiRkFdiV+MlUwV8NQivSJckaVOK0LNu1FoRU3P7Vo3x090Vvu+yyrX8+DPvH/14ZfHGlx+Rk49JHHr7jX+vkYS7b2aI3UBgrsklTAqsdgydCuoROKjDKZb2KpoOq1i5AnUsQW9pQ46xdlSXZgc6ZJU835y6AygGuLFo6YLveTtff6XspvpdQ82MCP6ZVH6B1n7ueSPmTz03wmXs3EpkJNk4I5mpOljgLMPfJVXYXGXNX2TtG65D7np2iH2m2NPLPM87geZAtiRNFzVO8+IoBiXEAH8TCda3nneuhccGhzmbDZPaeyJLrFsHclODbX9mjFZzlvZ8bcPezs5yP6/RrkonE0tTWgVxncYiyWVxiM5Dnx1CUteMSJCWLj+8oWEiVfEQF49q82j1U1p7bHNSVVbzIYmfJoiTDjBKWmUBy4vQUn/rK09x47jCD8OvP+/ytAG8vn+TzX76DyYnJradOH3mFHAzZNdfAYspaD2UysDmQpdbpb5Pr70pXdxlIilGtTZZMGAF2xXqo2lfCjkmTPCvnKgbdaDeT1Xxn4FauFiPwYnw/puZFNBpDfL/PX9ym+dU/3ciRhRm8oMbmlmAmSJkILM0AmlmHfT1w2c5alhBy9StpthI4ebLYSelFPr5S+NIWASaVr5Jf2HntRpR41L0hm6cGrPZbDGKRjVtzsYLnpZnNpzK7UzmAjwSurvLxLS/rceOVC/zKnw354Bc2sJw06QceTU8yoV0NTqDBVxTNEDpP+mQrnyykSpkAqpLKqFipAn0sDzLuuJgS8GnxXhXgY/457jM1pQUtSAZdNk1t/flLLr5s3wv/6o+fuvwFb2DvJTv/3wHc2pS3venmi04eP/BHSycP05hoMAgjfM9mc0wsQgrSbOqrS+YITCqzE2lGwV0BubVlgGkRFUkixqRJDm5bskmWfZNVgMvsM40wd5qBPMHXTpIEfkjgDTg+n/DHn23yyXtmOTo/zUTDY6YG00FKK7BZ6j0Ht8zALYukUC3T3oHvLpyJZsgn7tMcOlGnlk3gKtrFKFFejHGwTofHiebyXfCmG7v8yedn6TU0E9nskSDK4gZl0FpmY+uogNyrnCy3Kuyck/zsd/a5Zvdp/vAzMxw9P8lyUqfvaZpK0MiA7kvrLpzMZSpWv/y45vYhTp+XmU671ifPiSkvnSh883UsRVOyelFLVCnJKBJIGbFJATXP0u1q7n1k6ZrtF2/66A23vPwN7U7nb5UqXxPg1gxBBCyff2B70n9iz5aZebTWReGUzIIdawVSgTUGYwXKSIw0lUIdUTgh+Xu28p7N2bpiA9rshJEzdg5yUQJbVD6HzMDtXJOcvVM8nbjOHZ0QBCG+DummEb/7UZ/3fnYzZ5amMKrOzKRixrdM+oZGxtyNIn0vszqVTJpk3nkBbt9lL8M44tDpgF4UMB1kLk6edMpdiTwLays1KbFmoqnZvT1CBUO6UYuBL6jHljAHuE6zRI1yPrbMS4DXC14VGyb7/PBb+rzt1vO897Md/vjjsywOmgx0jZpWNLSgrixBYh2bS0dOWpblDXmWcw2Ts45cGXdYYDSWykFdIbKcycsVPnuvclHITCqlFtpDyaP7lpi759k9CcH2N7zqhuP9YUyj5vFct68J8G57AeW1NljrfbS3/JA32UoRIkUrx4pSmBGf1MoczGYEyKPMXQF2dvWWjC2eI0NpK3agLYA9Ik+KgUGpA7h2n9P3Ymp+hO9FtIcR9z0p+YvbJvj4PbMM0xa+7zPrC6Z8Q9O3NAJLwy/BXQskQSAJMmniEkOZM5EB3Pdc5vPYOcvdjzSIYo+gadcEmPmtTGe7UtQoVnie5tU3dvnQl3scON1kUHOjGULP4ifgxQYvMiglnW8tBVLIcrgP5fFMjSQxkkag2TQ14N99W58rdoZ88LYWD++bZGHQZKh8PE9T04K6hCAfsJTbq9K6fIKgAvLRmpXx4qwqo+cENe6I5a9L/V3WFxWMXrk4pABlSxkj8Pjc7U94r3/1jR9dXmm/YHm1u/B3ZvBaY1ouzh+66fSROydJY2q+yWqJy4J5V0ucL70liMdBXZUlxT0HdiZRqgw+UvjjenQckxcpZVOUezrdbdEqdQBXaSFHtI5p92LufVrw/s9PcNujkyy3W8h6jVZdMeVZJnxDw7M0fEvdJ2Ntx9z1QFLzFTVfUPPJKvRMBm5D4Dn9rXTIwdNwpl1ziZVM344mTsr6GdcHKbKAShJFmk0Tgkt3DHjqZEI/9gizGd9+hAOfyifr5okakGN1GtV4J00lcerqw9/56gGve9EKX3msywe+MMHD+yZY6jZoS5+er/GVwJeCQOJ6OKXbpU6J8iJVIiv7XYfB19SvjDN5hdAMlcDTCtLK67RKfJk8ksKihWuC1hK8NOavP33HpBL2pmuvvvTzfI3hQV8T4Gl4OmjWwt+viQNN3QjxtHGFQzm4M02cd4JYSvAWbG3c+9XX+cVgq45J8Z/KkRuRJpZqgb6TJSbT3AYlUzcQP3czZMxCN+GuRzSfu7fFp+6e5EKniajV8FoeExomPdfJU/fIZAfUfZHdZVZymuluXxDk7J0DXCf4fkLNj7A25vZHA06cqzM3I/CkyXSsKBt9K2xXlJ9mkmIQeuzaJHj19X0++dWIXuwxiAU1z/Wr+tlkqXKVUoVfjZAjMsXdZdmoYJzfXg9C3vnKAd904xJ/fU+Xz97b4K4nW1xoNxgIn4Gv0Z5CC+FaCKXEEzaTWhaFqEjDUftwHTIvzq2pPJqscKsEtGPwNJMmaUZ2uX7P2mWyC6ycwnDX42ear34Nv//s4fkrgMH/NMCX2oZeOviO4codUzu3HMKmmiTN7LyRKFqUrU6IUYbODnQV9CMnAVzv5Do1gSMBZQXYQpjMDnQXWi5HfB1Tq8UMw5QDZ+D4WcWHvzTJ5x+e4MJKE7waesKjoSQtz9LShrpnqXsugKn5UPPcTEJXZiord5H93GYgNwXIfc+1px05a3jqWACely3ztpKiFyMoqAZhaZrXTLtxzlfvDrlye4/9ZxoMaoJGIghiS6jIrD2TsXfupuQWZKlVCp/d5DatyqYPeAwjj3o95HtfH/Lmm1f54iM9PvLlBsfP1th/pkG0GpAEmqHWSOWm+ipAZ485kxfShTL4X3OruilU2TsLIjNAp5XfM9kXsMVyXq4JwnEeIrEsLizx8JOPMTf7tXePeE6AL6+2RRSHP/4HHzw0tWeD5cZL+txwaeLGC+uskTSSGWirssN1flBlcSRlun0c3JXvMMIItqL5XFLDSRKTee8pQeAmqSZpyvkl+NIdmiOn69z5YJ0zK3WOnG1CEKAamppWNLWlqY1zETw3OL/muXFtDsT5XWZ3lQGcTHNn4PZSAs+xt7uwIo4twL7jDTw5ag8WEoWyHrxwFHInxWR9jYnHlbsGXLqxz9NHE/qJRysWhBr8xKWvVQXgUgqElCNMXjJlxZEwef2566OMU4/Q85moR3z3a0Nedk2HMysdbn/I5+ipgC8+2uDsUo104GGkJvYVQkq3UmRd+U465HJFjEnKCsbHAs5Sk+duSyXqptpTa8vnsXVZIM8gVMKNe4fctCfipt13zH3T6/7tv/6X7zr6bhlcvG749pwAf99ffpY4Tvnzzw4Iw53s3tTmql19br1hwJUXxWyZTthzUYpGksQZU2fLoZMecg2b5+DOWTxn69FPZisRe8nahRRRKV6QEqeWo6cETx1VfOnBBk8f83n2WJ1OGBBGAXg+asIjUIKGgoY21Cs+cKDzOo28bNbVhQeZLPF9he/L7AKwpfb2UpdZ9JzOr/kx1kTML0tCG6C1xJcWXbHZxgi8AHlqR/sdo8RDoNkwEyHVkF7s0dfCOR1xWTCmlRnJQMrcpAbIhx0hsEaWTF4ZjOSlqhg/0Q99Nk9H7NwUc8PFIYNowD871ubp4z5feqDGU8dqHD1ZI04UBAorFQhJKivZoCJJsY5WGRHntgLeHNBjjyYHuYHEojHsuShi23TM5bsjbr0+5Mpdlq2zHnHSbi6e/uq3I/S7/6cY/M8/8gWWVrrqzvufFk0h6aQTPHE84KkjA257aMCkjti5LeLqy0Je96KQV14XgU3xNNSbFmuzL20ESezmlOSBpAsmc1CLkYMhhPvyQrq6EYRBSEuc7f8iBBw/LfnL2wL6seLxZ2scPhWw2PMJUx+0D8pDTSh8KagraChLTeHGmams8Eg51vY94ZIeVXB7Ej+TJYEPgU/mmriUuacNvpdkGdGYei3iwkrKl+5v0e4GTE8KdObF50Vf4rmYzVQCQiMJQ8XcrOJ1Nw/54sMDTrabDDzpZIoGL7F4ce5ZZx67TJ1dSHXWiSz+hrG68jcc0P1UkWpF4rmxD3HsOSvVi2n6MS+7OuHFV4S89RVDDp6SPLHPYxApPvilBsfOeyAk/YEmjVRevonVOcDHLKNq+nYE4IA1iNQijMVmbF1vuoScwPCq60Ne+8KQqy6L2LXV0FKSmaYmjmt0Bw36gzrD3jHRmn2BOrr/88nFl7/h6wO4tTA91frdTrd/baBSpmuKZeUTJoqFgc9CEnFsOeL+Z1I+9pWYuekEawzX741452uGruwxtWyYNFx3dUSz5k4mVhTqfe05F8VwnnZf8MSTmqWOpF6TPLjP49P31BjGimGsOHfexwhNbD2M8EBrRKDRUuIrQU1aahmwA2UJlHU14DrzfHXJ3H7el1mAW2U9mqJgb98z+H5eoJUW7O37MUpF3PGY4pNfbaF87ey2Ef393Ayee+FpmjseiuHQ4823DPjUfR0+ePskvaRGM9PhXq7D4zwpY4tuISFkAbCstrOi9SsAN9loB+2Y3NOKRGt0kjqgqxSl3CD96VrCLZcl3HxZjBUhb39ln2Hsxrn9zT0BD+3zqQeCxY7iiad9On2ZqSTBc4ryYucJ1xp43XURc1Opa3xJLe98zZAXXBpjjWDjtGF6EhQKY32SbIvEYeQzCGtuVHbau1Z7rd9F8MNfF4OfX+iwaa418Wu//8nLVrqJEljq2pJYAWhCIUFrjPEITcL5dsr51RRsysGTlk/fkbogITVMThtuujaiVXf1v+umJ6uXeuY6rPYUDz/l02krpJZuJorVjpmExs0F1iA1Uko8KRyYpSWQBl86IPgKfFXO6HMgF2XDg3aNAHnjcRXcjuGzslovZ/C0ck8IdIy1EWcWfaKwRjAp8bO0t8qq8kaymIKSvCrWadGdbhRR7DHdUuyYi/DFkEESMEgEde2GYOY1JHlCS8lqeass/pb7GzJL/pgye2pM1jNZSqMkSbO8gcrmsifESYqKs5yHSpEyYfucyVYMwxU7h0R2gNSGdlvw8FOa1X7WcD4myO3oWQbruraaNcuLr42ZnDbYxK3sNem2KXcukEcaa2LjBgolqSZOfKLYjeyzFgI9UIFevWzLnm+bsGalI+T01wb4/IVFlldW3v3M/mOvHPR7BJ7EJpZG9imFcMN3jFFgU9eTZN3QnQRL26TuKylLZ9Vw7o5m5SuuB/CqfstOjhCYfMsFsppTocogR8rMyspBnaWdJdnGrblvXHnUWSe9Itt6jwLcrq1L4Wfg9jVFialj8IzFtcHPsqOeFxMEMacWDX/2xSZoH0+KMsAs5IlYw+BVfzgfEurA5gbrRLHHd71uwF/fNeDZ+Ra91KORuE1pXRWgLTtxVJ4TqAZ7eeliLoVkpcArv5uiFkZrhZe6eSleBnQly6SZqxtPK1vMOKBrYRE2Za5h+OaXGhBpJjMBke+fsdYhK+EgwGjSuIzPkkQSZxZnaXXmA4eyEXHVoavRkPbysVdOdk6+29r0R/9WBv/iF7+MVNIPO+eYasAwzuoEpGsQBhgIQSgUqZVYqcto1xqQeSrDHd10ZDdnu873zdktB/ho8JJvIyiFu7K93AsVrlrQk+61lmQ1FVn3eF5IpKnMQSHbma3sqi8BLgvZEvi2aGnzfVMZnJPgZezt6xgpI06cFyx0agitCSQj8kRWv1bldFelwwjwMqcjSjxmJ0J2bR6w/3zIINUMUwhSgZdavCTT4QmFs1Sm0NVIp0Ie27lJu7ZsOimkkUGnhlRJlM63L1dZsVqKVCZbKcociMpALvK/TZYXkbZwvXKg5w5YCYE8TqAANVSt4zx3IrFGkFrlQJ5KkmxMXD5JK4o13b5isdtmfvUO366jENYA3LPnkalgy3TK6qorW1TSbWftZUdLZkCLslrvlNEB8+UfyrM4X0OaCOGW1TxxIERh7OfmvhbgCYsnMtBmEiB/XryXkX1ZCkrRYOsr4cA+Am7pHv0c6HnwmYE77/7RppAonnb61PdjEmI+e1+d+YU63qTCr9ZwVB0UxhRpNXWd1+tUkj7D0E2wfeNLetz35JBOUqOvNfXEEGXpdCXLgqi84EwIQ9k5lAeaeQ1Qbh1mM1UsRceVNoJECXQqs13sXC1PkgG9TKaZIsEm80K7Sm5CyCq4M5u32Ctm/dNfVozmCaDRHIrJnCaTW6lGFc5Tkko6A5/j5wzR4dPr/vsjAF84/RFqQe2lDz301RsfP9ijF4pitJbMAJUHg0q45Ti1buxunpUy2Yc1rC9IClzn9zxZIEDlj8KiobDaVJYyVkVDRfk8r5vQUhSjEKrALuagKDc5Sa8H8DzgzHW3zmWJzfT2aC2578X4XsT5tuHRw3XQPjqTJ7pSoJRn+8QYwp2NWqm6K/pSZeGJx7HH9ZeEzE4NaK806CeKhgIvcd9FZcOTVFwFOA7kxR+SY5WaIuubdLkKowypEXhGkCpJqgypEiQZyKvFa3k5hMxBXgF1XjIhMBnIyUqa80x0mbRbkyAceV75nNWsuJGF02SMLBKGUlom6jGet8C+M7Ubb3nJrS/9vb/4zL0/+h1vWh/gX33Kw/fEN9/2Va67+6kQTR0lHXBzkKusPFblBetkXRqUS25FpKw7capqJuVXeZ4VK8FhCwYfL+HUeW1EVgOel3q65uK8U8XJElV0r5TAzptvHXtnmltT6O3cEnSMXYLbK6oTYwQxn7kn4L6nW8hA40vh5m8XFYRlG11Z8TeezcxGoxUsnulNoxgMPW6+asCbXtbljz/TIkoDeqmkllrCfLb6SNWfyeScGbugnovJwWhZtBLm4E6VRCnjGF3KbLREvuOdqQC8Amw5WkZRypR8ka6s6GvKFsRohFZJCJqxPEpemYp1+PA9V5ZxY7PD1u0br9uxffjNxiT3rsvg8/PnaLWar/vCbXd854njEdLWCVNRjGHLD5WQlZ47ylpuk8mX8czkSAQ9Zo/m4M4BICugkJQ1D9XRBjlzuy1I8tdkDE7RhjXC4lk3jKdGwe3GKYwxd9az6WftbZ7OGw6Syj0mIuYjt0+Q2gBVZC+rAWbZ15g7GyManLF2PSPddKg0DzY1Ao93vqrPn382ZNXEDNIag1TgJRQsLqVFJqIoOnN24XjtkaxYk6ICckGqs7EOKgO5dlN/dSpJlUWlroLRZY9lUZpcWpTV6s6yjLloSimAbtfFwZqwLB8ytB6r5+AXZKuLw0KaNrGDiH47+c7rbnzVnWfOnP3itm1bRwHuqxCbykv2bF7Z8y2vOMfhpQYnzvi0fFswZj75qLo1Xaa61zQFP9dNiCzmEKPypAD6WHlmocXHNGcO+upsD6VEqcWziruRYTcZsLUSpZNS2IGu4941JtuMucsAU1fYO/AiHj0sOXS2hlUeSkp8adDjdRoVAT5+UvN73p+as1O+FKepIk489myNufLiHl89WCdWPoNEUJPgpRadiEy+ZV04SabDkU4ujPzJ0Zr8kcaDyhi21Lh6FwfurJ1N2Qq481ogm5UJ5ExOsXqICrgR+cSsddj7OW45g5cYE2NMSfFZGrWY8yuW3/tEm29+dXfPZVeHl3R70RfXMPjZhfMI2UDI0zx9aoEj57aRmiCzB20FjM/RzVHw8vppnOpvFLqUylLO2mVdFTXfpe1WShbXZJEzeN7pkjN5vu/l6PbfGXNXhv+4bnsKYBfZyoK5U3ztEjuuKyjGEvOx2xssLdURgXa+e/UiHK9BqS5blZUvnyZQreMuvGmjiGPN3IzkHa/u8ujhCcK0Rl/51FOnxfNyViXJwJ2vFSbzxPPqD8fi44xosnmP1alU7i5RJl+RbPHcgSobpJqVK4vseztQy7I5YpzBx5pWSpyMu+TufbuOCijKN6CoTVIq5eLtXa66rM9Cf4EoPMcwLIsLC4B//899DqUU80sLnDq/DSsaTPsVBq0w0yglV8sNbCXlvg57V35frPdYBXSVxUfGi5WMLasMrkSFxXO5IlF6FOC+zgYAefnWgVmGU1u8IhVvsufpyF0r17nz7An46G0tQumjpMqyl6MX4ngGc/ywVUtKR3V4psUz3zdINe947ZD3f77Pk0frxMqjLyV+ajL3SCBTWzlOLkbKnQx3M9nfGt23qMrkqQFdWIhutLXKSgJUasthncVcFlFc0MmYHi+AKMYAWZWo4m9b69fBj6iWTbsVKY4ljbrPz75rQJjeh24fYdamowA/cPgse/dsafzoT//e7jvnl2l4DXzlWpr8wqmoBE+MLrnj04+qiawqe41fwePa+7kliiiAMz4OWVYYOw8y86lNWuebvGbaW42BO0/fe3ljsnEzQ4oWsbynM8nuMcqLOHRG0418UDqTJ3asPHb8wh1F+OhAozEvPOvGKRM/mqYnuGzbkCcPRaQmYGB8aqmr2daZBlfCzfNziaWcLQ15kFkyeVkIl3e462KwqXtPGUilA7zKdqeQppwQkE/XSvPu/sIAKIPLIvAcO9/j4C6xsnblH/k9UTK4ldUSWg+LQOATp3Ws2rn74ut+shH2frofNLc7gJ89d5Zed+W1u3fM/fSX7nma6UA6qy7zlFVFHlT/0HpgHllOcL6+YJS9Rz6wHAVCCeyyj1FVWFGNDNXMQU5ZI60qoC6eZ0keReaFO3A7AJdDgbyqPKmyt8r6Ov2I5a7hf/xVi6VBDRF4Tp5IO7KqlINzvrbmHJkmkM+JKRjcOSpJoploaH7sW7p85dEJlkKfSGoGUuJnPZTlyIeMwav19MKQl9FaTAZuM1LCnDci6GziVB6k52BXUmQM7iRRWrgoFDKl1OFlO2EpU/LAs7QKR2cgjhyVCsKrv1P+m9LaSqmDO1ZCGtI0wp/a9NMXzh6416S9vy4YfPnCQyR9j5Xl08RpQt33i23ntCyXvpw9qwAdZ+mR188B6hGZMqLBRQlyOS5RRgfTFMCWAqnK8WOqAmotJTqTJLoAeK65TRFUetoU4PZ0Xn8xyt6eivH9iA/f7vHMkTpIDyklQV4aW7E2CymXfcnnrCassHnZXV6CPDEy2+TJ4+o9fd7ysg7v/3wNowMG0ieQokj6KCmIKwHdOJOLKpPnTsVYO6FRoKxbFVzzOMVsR8fqgnKsRDmLppxM6/o4hRyVJ4WzUpxzuwYbOYir6BnFivt/ZLaaGGGRKmuLVAJPG9K0z4Gjh+kfUUhCCoAvhR6x9lmJtKsrz4dUFpprrac7cvWtA+yRk1r8P3mthC0chvXYuwwsRcnmBUP+bQCXJcCLRE8OcOvmZGdSxFOlW+JVhgOVmtuxt6fd1KqVtuFv7mix2A6glrknohKMPYdEQYjRi76S4F1j21UydybN3RTN9ITin7yyz6fuG7LUC4iUZpDKzJ4UWYwkymZsOZ5YMVkZs3vLFGxe9kbq3FlR2XOZvZZu/HV+3KsgF1JUuu/zIZ6ZNBnR49XJtXadFb0Ed4EdW5U37pelKVcIZSypdJlYcHXyc1MRkzpC2Azg9z96iG2bpy/6yGce/vF7H3qKyZqm4ZfDYFSVTSt/XFSQLb4GwMcvBJEz9RiDj7D3yMHKP0MV2KOzv6sdLm64O6Pgznc2yJlbVZh7DYPn4ybKkRNauczlseOCgydqGAKE1EVzblk9WI0fRMXVKA9ItRalZPJKIqMYfiPLdrNUg9Vcvitiz5YhS/vr2NR3LJ46maIrLk7JntVCr0xw52W0kNUQiUrwCUaWc0qqsY0y7qIxkkx7j2Kj6D2VFmFEljPJNXlVstnigi8xYkdJYES22KL8oOrKSGFJJG5MoDGkRlLzW8y1FpndNvHj9dlvfry/eutxLWzKcBhubnrJ6xgssGEicOAWVNyA8Q80/iHGrsZ1pMn4YzErhFGQj8oTUXEmRCXYLAHtGJxsFHDVB6/esy2tVRXcFZBn+9V7WWlozt5K5SMyYpSK+exXWxxarINfyhOvYl2OXLCsHRcxfhsdczaamk7HtHgUaS6ei3jjzX0eerYBxiNJnRb3sm5zmY5KpYI5Ryy5DOSZji2HL2XPZfZcZquKzO/u2KfZiiFFxuomX2FtQUxlwqf6PGPuSntb0fYy8l5lmRNQXfuq8iYHuVutJFpa4kTRH/Twp9Xr/Mlwc5zY4zpQFk9YJmqwcVJQr1HoxqoU+VrAHnla+d2cudbo7jFQ56/HA7Qc0GIdYBdsrkSlCbcC7mw+YbltB2uBrcsBQcWIN20ykCdOnqiYeiPiqwcUf31Hk8HQh4Z2xWdiVJqMf/7qd14X4Izp7zHLsOqLx4lmsqV5661DPn9fnwcP+NimxyAN8AXFhaaKv28rgMjBXYLcjkDJlBeYcmyeSqfHTYW186DeyFwLi4r+FpVAdzSGKqVJGReIHLwVVh7FkSieF8ZFVb+P4TH33tOkwcaB62WNIoU2NiExMVqlTLcEnjdaT7I2NblWK62X2hlh6zWvxSjbVRyT6vNCiogS1FJVdm9QIqtNKcFdgjwvm7VoXY5Q1tkmTFqNAt0r2NrdlXIBpu9HxFHK5+9v8OzJBngeQqoMVNlKVwkuhRw9qWsC7OyAlUVFWdlDJZPpQC4LLZ7bhVGkuWJnwutf0uOJ43XCxCeVHgOj8FPGPotgpGR1DOR27LOg8ovNYJRA5XVFUmCVq4LO9XixospME+fnxpSrhhwHuHguLJBJkOfOdI4SxOhv2LF4JoqhN4AoSgnDFP3lL30BrTSr7Q6z00FlUP3oNiLlP7jOR3hODT6+Jcb6zL0G4HI8wCx3ICilScUqLBg7B3g5ObWQKBlzO8a2BVPr4rF87mXBpVYxgR/x9AnBF+9r0B/40PSQQozmB3JGG9Hgo9+zeoSKWgtspoHtqJtSTfhUCrCi2KPVinj9LSGfumvIE0cD0D5DI/EzLa6M22C3Kg1ESiEPSMcyiKp0crSilC7SsXm+quRBvrEO7NKUiTZhqm5Kds5NyezjOY5xgI8T4nMBfBSHZVa2KDVI3e7JjzzyJE8/ewSTpug06mClQBIz0fSIY5cwSFNLmn9ZY0cDI9a/0qqn0a65WsXIFbwui8sK2KuauwC509vVbKZSWYVhVnjj2rmy57o6H3wM3Nndy6fQZgX+WiXurmM8LyaxKZ+5t87dT9ehpkG6hmavUsI7UhpbvVdfrHMbmalNXs5K0Yyc2rJENAd6OPR4xdV93vjSPs+cqJEkHlYoBkLjpRSfSaQli5cfYX0mrw6xVyoDjXRs7l4LpBGFDi/8/pzR89U2Y/BiaOcYuMcDzhLkY0HmGFfbdY/b6M4gSbZ78jCULHc7IPqARU80ydwHQRgqhlkRS5Ja0tQUy1IuV6oFVs9F5eOMXXVPoJy2KoolXYwdkDFgj0iVapq+cs92LCiBXrnrchPUHNBeBdS5c+IcE/eoVIzvxTx+XPLR21uAD9JDCFV0EalsI1U5xk759ymPhxgDGGVNClXmrmhwKzCpa91zU2jLti1rNe981YAv3T/k4SNukkBsFP1UZAVfGehSWyz/IwZA5bNYax2LV4HuiD0Dk8XIbD+fPCjOtbfM2Fy4x+IcmtL7HnXgxt2UCi7G5Mk42KulDaNjN8pNZqMEekNDakzxvXUjcOPAMLlmlWDL6NSk1Wn9lW6dSh3v+FIiKp92VKJUpqyOyZJSqogsWVBaTznAizl5VZBnrWnlZlM2A3s+AL8E9whrVx7zxtpcqiiV4HkJcZpw54N1njpcB88D6YJLX5RdRYVnX6w662vwcWjZypOiAWJsAm8RbKYSozJHJdWEkcdVe4a84ibH4oPUsXgofIYGdCrKwC/N7UIHqFKiuA9QXZVH9KwEqyzSCpTFZT+tQFiBFSCtKKVKJags2Ts7r6Z64VfmuiNGSXAEP6M76BWRRAXc1dxBvi14nECSWMIkzS9f9MKq82vj2P2ylKC1xLWmWVJR7mWYp0ipnqDnAnkWvRdfpPLFxBpgZ1d+DujMQx6pPxEUe+8UuxfnXv1Iw0O5dYlSY+CuDMUv3BOVonQF4JlE8XXMoXOCD3y+RRh70PAyeULRmqaquwRXnZORJWwdOhpj8OrKmPvho0VY41pc0wwk3/P6Pp+5u8mBM+7iS42inypXZZhmyR+E099pNpZjbCUpyp0rAJdF7JWNxbYumLTSnSMrhQO4EWWslDO5KR2x8QCzulfRWpfJjhDhGoBXZRyMVkCm5S7KUgqmJzw8z3OS64Pv+9VNSun/dvDwmcstpU857lmXTCWyarWqfFjnLka9arXm92Vm7eXjgLNHJUcsv/F7PjKh6nEXj7rU3W41GgV3da+espgq2/1Bx0Uzg6cjUhnx/k83+PMvTkEQgKqhlKahrCtCU7aoTPTyJuesNa7MpFYTUZJyMiwjAWoZS5S2Y37RCknW+Fv2QippEdawY3PEmUXJI0/5JEKCUBihEMKV0q4X94xKAVGQlKi+thVRU1m1yxInOyJnqmUHhnKXjmJDA8s68cbaPEA+27LayVOdTlzMEDf5XveVRwMmLR2ciy+9ZvPlV930ZX3fI6enlhY7b4jjiHo2SDxN8yycY3CEReQ7oVW+6RqJskaqQNVTL2VJVZKMXkBinLVH6sDtiPaWBRhKSaIq2lsVOz1UNqJSdkyS5JWCOXvHeDrm4FnJh77SwM1fcexddO7nf19UZJOoNm+MBpqi+qIA0Bg4TLU2pJwr6ALPLKtpJSZVpCrT4qnm217d55N3Nth32gMZYYVkmHposnqR/Fin2dlKq/xoGfHDs8GqFjcbq5jRnYFQZqu4tKLQ3dK6v2FN5o8bJ2/MyOo86qKscdQqAFpvwbOVx2od/QjAU7eZLIAxEYHsv0El56Z0EqdYa2gEUAuyiFSASKotCs4VMaY8OOtuMTIC7ApjjFmCa5YssVa/jdSAZ8mE6j4ypQYvtwrMd1ZTY+B2E1lN9ujsQKUMKve7VYKSCSqTJ6lK+PS9TfYdKrW3FNJ530UHDeueQMH460rgPXbC8oW52oA84olXJlJp47aFSWWZwo9izRWXhLz5pT2OfCggShUITSo0AyHQaWbfFWIxd1QEVdgUIXCmBax1PbduxIOTJtbaTItnd2HLFL8AIx3wTS5TKj54FexrE32jpkQVRyMgr8QHIwA3kKSWJDEkmSlibUJvEFMfxOgtGwStAEw/JTGKQSgYkNUFu2ii8BuFqCw763g6ox+wageNf8G1iYD1mxtGWTt/nbN2DvacuQugqyqTl7pb5UFkvsWJNGhZDs1XKsXzYo6eU/zeJyYYSo98glbZNZ/XxldqoCvfY/Qqf+7b6PKduRl2dGxCGWjKolY8B3dqNEnqEaQJP/q2Hn91Z4MjZzWoGIwmFh4DIVBp6WjIarA5BvLcm7eAzi+47D1pXXreYjPWzj1xM8LmNvs7RgqELVePtWbCWmCPWIfPcfzWDzKd25ekptiRrtuPmV9KQBn09o1dBs02XtxmqTPJ/JJPFI8GglLa4iRUdx1el73XiZBHGDyrcluPAavAFmOsnSdSRsFtSokiRxlcj/jbGZhH/O7KXToW93REJzL88acmOHMhAKUza1Bm8sSO+N7F83FGKr776PaB6wK9svTmx7gomy2sw3xwjxydgiUVaaLZtiHkB9/S5Vc+4NOOXUBgrSQ0ytmGaf45LKSCUmGXIC//636iMkRZS8HcKs9s5gGotCWD28q5y8mwYPD1VjsxhhlKM+LrIAZTubug0225uNhOOb2YMreQEqsEfeDskMWlAcePrrJjzgf8YhZK8ccrxQACir2hqlfb2kexdkmSa8Ewztw5sEvWLqe0FuydFdyXgK4wuTYZo5tCmjg5YipSJWfspHjUKkYHMR//TMAffWyC0HhOnghVyJOiqXjMEhvR3cV3r54m8ZwnK8dVaRVWQZ+n7C3GmCK7WaTwjdsKvKYTfvjtPQ6e8Hnvp50WB0UqJEPjAk6ZUjB4WYCVM1Npy1VJzIG6lCzWZmwuSpA50rHOPhxJ/DgZU9SlZ9gxVZIb0eOjgF+XybMPmYMaW0oumYEnqEVcf+0qV+/tMDNVR3/pwWlOnI557IlpXnuDZvOs8xWNqWjF5woExlm78uFGymvX06oVJiz1mh2TKLYSZGZbdFe3DFRV18FUpEoO5gqTy7I6sNDdxaObNbi8An/1lQYrYQ5uB3BPOu2txag8GVl1cruselzWwXdVaxeMlP1gpKrPiCKpUu30KerEpUQZhTGaJNVM+ilve02fT97bYKmrQMZgFDFOj49XF45ecs/N5C4PVCaF8vqUPNi0GYsXgM58cmPXnnOZUXuukkpmrzZnUJDDOEeMfOaKj6gkCE8yPaG4co/h5S+Q7LxIogOFvnK7ZGPNozZsAgHdQTkLJT/wAoEVtugJyTV1Ce7qlbjWPZA56Ku6mwpzV3TsyPZ11RqPIrCsNhiMBpX5cJoS3OlIgJkHmfk+N7rC3l4j4TN31HjwqTqmor1dU0MuT0brTYrWLNZezCM+73OSeMaehX1WSpTxZoiqVZZaibKlL56kHtokvPjqiDe9qM+ffdYHFYGQWCEIjUYJ4bYgyQNNUYJ6XK7k1qC1FSxYd/wLqSorhWLSzXgpmbsiU2R5vk1OYpkskBUgjyaAxhoisn/Pjqfzc0JRAmndThwmrXPfE1tYGM4xNT2J3r1NMtOQqEiTpJKVnssGVcE7Ury/DqBHPuT4Bx57r2SStUFl2bxaLd4ZBXbpomSvlUVnI8akzBwTaTNdXZEkuWMiKxJFOvck8GKOnJR84DMtznd9t9+1dIPelaDcsWEsXljzPau+8zrsPX4bSfRUmH3NVovVTXQrdeJK5o9u+5NNzZTvfVOPe58KODIvQcSAwiAZClnZRAqqZbSFjVm94Kp8XmQzs/NQZXPhnudgthbXTpYl7dzPSpkihfu5EO4CEaIEtNtsNi+drZgUNju21hY1To44RUEo4HB76rwLMqmnbOgb9N6dHdLNy2yqn+POJ+fodGtFAZMb9jLKUGuqwb4OUJf+px3R3KVMqVS+FfXVFeZWOeDHQF7MyB5/nhbaO2dxnY8DVglKpujMFvT9mDA1/MGHJ7j70brrbZPaaW8pXdeOKOevFJ81X1nGj8MYk1dxvkZOjic+GNXio+Wz1TJa125mckclNSRSoxLNK26I+KF3dviFP/AJE+kyUEaSZK6KNFVQZNnmsemvSlaZnOy1qMQGWXe9BSuzLLfMi7Tcccn1+XjTg61gwo7hBVstxnJypwT7eLNEqQryvEijBp1Bj/sPhMTNhIsig77t0Yjl1ZiHn0hZXEyYDmJmJtwweDnWJ/dcd/lcQCf7oGMtbyW4q4N9Rmd7FEGlIMvgrSNPpC26vbUqJ6AWwWU+9jfX3dmM6yK4lAmen3D7wx6fvLtBGHlQ14X2Lti7CGwZua9h7gqKC7BX5Nw4fY8kMLIs4ii4waqM0c1orXhqJNI4qZIDPUk09UbC214x4La7B3zpYeVsQyQISSw0A8pzQe6NV+SK221mVJO7e6UuRWafU4LKvl/+Wua1KtIWAJYikxfCOp88B6wcx02lhl2U/aWjx29Un+fOWuDB7JRh766I3TuX2Ll7kQ1zCn3g+ARnzoc88sQU2+cUouYmjlq7FtzjRf1rT3T1w9pR8BcsvpaxR2RJDnZZcSxy/Vvsp+5eF9q7mIRaAlurMaCrEtw6A7fvxaz2LJ+5t8GBczUnTYQriRW59hZUJkjZNd+5WJEK+SYqQP8a+iQHt3WsmVtyo/dyb9G1w4HKGhUpFdKkSKOJQ83ezTFvelmPB/f5tKMs/WqcHo9Q5PtASDJvfKSMtgSSxSV3igtSOrdFZS1tJZvnUqXK4KI4l7bC4iCchMl1uhwjxspzO3aMcwIkLymoKAml3GeseQ1eckXE5h01ag0fvWNG4iWKxc2KVtNtn6dkdXDkWEA4Ji/WsHk+v0KOnfiq7l6juUeZvMrgVTALwUhwKYvB7HaEsUcCyjyRU3VRpOuUN6T86Wfr/NEnWlihne89wt6U2nu9WKHyvasHGyrB0Ndg75FKPsZAXTD52lY2k6ftjcGkEiOdL66kIU49pDL88Fv7HD7r8Uef1MRJCXKDIBQSZfJBEhlSqq1tBaiFy+DgFoHy7VyHUwJdOCDL/H8TNnNTyhETVpQa2+b4srbAWsHYVlTwIjK70ckgTPZvVazMPKs5iCQXlgOWV6eJ1DStiUn03JTCJpqtGz2k1EjpSmaVlKOlqnK9Ez0qNda3hdZjvOosjcpjxePOmb3cbMn13I07JjIHtxqTJ2N71qts7xmnwWM8P+bweckn72zS63lQV2vZu6j5rqwuokzwFGzD2udFkPR1MXgF9BXJUi04Miav96gAXeZAlxjptLiUmjhOaTUT3nprn8/fU+fwuewEugHVpMJlq4tcRb5vti3BbgtQZ24JZY24UzS5k5Kn7h17K3JQlhgogC5LByfHQR4siuxvVgPNomEjw6ExeWt/rtEpCrDixIE+jBVh6KGakslYordtDtDS58SkR5y4FqV8xsgIuMfqsasB4ghjC4oPOJrIqTSbjiz1do08yceBqQqLVxM7UlQHs+fOiRnZbkNWZImUmWOSMbnWCWFsuO2BJl95rO6Gg0vPAXyMvXPbUgkxKq1yLVvR3wWTr9GNfwvIx4FeTUmbLHuYOynZViROd5tSphhJKiQqlRihiEPNa66LeM2LB5z6nEdonA7PKqFI0AwFSFPZtkqIwsDOUz+qWIbKGqR8o6kc+AhRkr1159RmoBwBui0DyILBoWBokcuWQrdTAD2XQg7dsjjAQrhSWYtjcRtBp2uZ7kmEr9CXX7p5NYkHn/c9/58amxZXYHUscZXBq/2H1YAx/+Br2Bo71mFtK05EGVCWy345f7oEdg70smx01DkZ1d+qSL+nlecJUrpOHekn3PWwz6++b5LU6tI5kQohpNsHSJRp+VEGr8YP67P3eILiayI7Z8A1MsWOyBVDyVbWCIwoHZVCk0vnjQujSRKD76f8zPd1OHBac9dDEuOLDLLuC8RGMRgRVLYiS9bR5IUXnmEi/7wZHnIdLjIv3FSY2Fbw4XT4KOnlll8xWLOCnRzo+WpCNo5OkFUe5FFE1kvs+z5Brfn5yZktq2r7tl29+fmlI0LwQ8MoKeq4x7vUqzXKeSdNISlGSlhLa09UL4jidyrBoio1dVkZWLUAK4mcSkBZFFQ9B7irUkWPJHRcr+XpZcGvfmCSex9ruvBbunY0pIeWgrqEQJJtcmXX1m6P3LMGaFWufNVhRHnNu1RjDdMVuVe+FpWLfiyrWyWDyhzA/PcLqVf9mYW52YRAWx580md1IMeWGllMES8rDh3ixAjwq1fr37Y0VYpxK9KLXHZVLu5yA6rqNS/GLvaqLir/n+p71dIQYwAZsLq6/L2njh86oLtRhJSCYZQQxwbPUxU9nPc44uy49Q52oUWrJaTjTF6O8pLVn49Lk8oJGpcmckxz56/XvatqYJmVwmbPUz/lA5+a5K/vaGJrCoRy6BQaIeVIv2XZ3/g1OuYLyZJrk3XP+RoP3I69rgIiP5F2zFmpdviYbH6gzZjbWlPWqAiJNIpUaOQg5W2vHPDsUY93v0cTBUkJcCGwxiPMamdEnl9PnYltsRVQ2sK8UNI1okNhALlgU2RJnjydL8oFwVakqS0AWVqJNq2sioKC6fNkUa7z89mY7q+7IUbF5SrdXkueN0Rlfab66cMxFoEnUibrKZ5WZa9jpUO9Wotd9bFleaxGfO2R/rux5Mjo75aau0zN2xGpUhZXmcz3HgO4MhmAc5BXwZ0iK7UnX3oo4H2fazJMsyn4IrcGs6ylsCPae93UfBXoVAE/JlfEGMrXVSkOIbn3vCajiV1TQmtlJbMpK86KUK4wS2bFWdKQGk3gGb7vjT3uf8LnS485uzD3xpECYzWhcZ1aRRHJuHVYlE5nIM9+x4pRkMvsn7YmtwcrCR3LiCYXwtWKjwTseVY0+x9yrW5t5qFXqhvdR8t2tJCOYuqBZfc2mGwJktSipxt5xGAoRxGXAytVpaFXyVEA50w76pRUA7HqrOhR4I9q73IjIzmyROfNBaYE+ogON6Me+Dh7y7QMMHVMP4Rf+pNJjp4JsLrcLXlEe+cSaQTYY4BmHTAXEBajeP4agnx825fRjGa1+Kqqx9fWphiZVRzKKosrRGoQQiMjw8XbYv7j97e5/6cCusPsyxhZfK4UzdBmnzGnXFOC3ErACFTeqJw5LCoDoZXkow4rOrwE63jgaCt4sawN1m3msFRLbvNg0/WIZkmwjMmFgFQrUiNY7XqEibvY9d6LN6GUotvtsrK85LbUy2Zoe2sYfHS4Y1WSCEYTOaNgrzJf5WcVOSJEaQWWEsVUkjyVvsSMzQvmHnFNKrvzZp631jFJCr/z8RaP7a85z1vmzF06J54YlSVKjLL2SHJrjLndG3mqWTwnX69h8jHnpGyAoCxmsq6YaU21oXAMXgSdRjqQpxIjsnuaSRVjuP7ymB/71jb//cNTRGlGtVBEhSmK0ORaPMu1V0COKEFdfHSRbb1dZXPpAj5bgLoE+pqUPZnssNXj7LahLIFtK88pGpxN5cInkygDIDSTaNEiJUW/4Q1voNFosH//s9x5+xepB25TpryRt9r7KMYBXtHfVE98Xh3I2LTTMeavglyMyZLy+ej+jCV7p6UXXk3qjNyzwLKW8uUHAt778Rbtgec8wMzzJmvSdc5JmbWsZm2rOrwczbbODMKRsEwUr8U4oMdYew3eR4BuqSaAStbOpsLmkqSaBBLORkylQlrj6lUSxUTN8ANv7/PIMwG3fVVBI8mFs/vjUpAYyZA8pihBbnGlsRS2pfO8s1gVYzI2z5g8B3E1G1mVHNUVsFpa6yoEbSF7Rea45ORoBAiTjXDObFRlwBqDtRDHKa+44gVceeWV9Pt9dKPuUa/7tBqK6ZalUcs7YrLOmWoAOBJg2TEWG910aPx3ymROuZeiK+SqgjqXJ4aqVaiEGQN7Oup3S2cFymJfdRdYSpkgdcL+45rf++gEh5d8p70yv9s9ypK9iwB6bGLVevJkRJqMTWt6bsldytqxWpSSxcvEStEIwXpp/LEhQXkhljXFprIilyrCIqRGxpY9Mwk/+o4ux89rDp0RWF0VWAKkR5qBnDGQkyWBVCG9Mr8bd7yQ2WSuSmxWsnjGwJKsnS0Dui1JIqsDK+vEqeLK6fX8AkgrDpMy1g3/MRaTxkQxIDTGKrTbrwbqAUy23N7s5ZYYayUGVRAzDu58mR77cCOuihlJ8Iwwd6bFVSZDSuBXdLcy2evxZE4JdKVSpEzwg4TzbcEvvWeCT97ewHqqTMdn0mQ99i7rvtem5KvgXi+pU2X0UoePAn6EtcfAnr+3tialqsNzQFcD0LzzR2a1HvnzLPhMDQkGTzpXpR1Kfvo3FPOrAoIK3VqBRRdMXgV5HjhacqZ2lqc1mXwp3BSRpe5H5YjM9Xn2XlFdmpXDwtrjOxrvVMq4DVTT+1JYVCKIwoRh5JqPk9SipZRoHZzXWnxxw9zU65KojVJizT9atbpGmWp8v5Xq9KKsYowq0Kt7uuTPTcVlqUiRKpuLDNzSoHKAVzKVMnNN3HNXaxJh+PR9Tb78UCOrNVGFLBll73LX4Oq8wZFM7DhzVyRZ9cSMM3cB/nEtMiZX1swNyf1gk4FppD7Flb26/sisCUIIhMgSP5mzIqXEWJW9JxHWVRwG2vLaFw1580v7/PnnFFEiXNo2//ASLB6JFQxNCXIrMgFsqprcOSo2S8gVgaZwBVmCSscPFCPeRsCfk2GBoa/dvlbFWvXYW5MyNzODEPKLtVrtfK8/QG/ZdglPPPix40r7/2PL5rnXLV+YR2svWyLLWoM1K22+1OZ/SFSL1UfZuypdxqVKCfS12ruwBkeG3jgGl0V1YA7u3DVx9SaJMHzqzjrv/pMJTi964CvH3EVgKREZuIus5RpfvrJC5UsiJdusYZyxUs4qgRfPxo7lergfmTjLWH141heZVxlaCca4TVpzR8Vme9gY44jBCEVqsnOAJQ4NO2YTfvqft2kPJH99d5M4zb5IDmgpsEaRSFmA3GYFWcVjJg8QTpdjbHUhyIDtspLWZIFm9ZiNEUZxPHMNPn78ctBlbk9ezZj/VhglXLZ3E51e+D8+/qkvHf8XP/Btbo+e6dYKSvnIaBXCQZbXL8syS204elKqZCVE9oefQ6JUX68FdSZd1gG4VFWgm0qAWQF3FlDmlqDnpRxblLz3E00OHAmgpQpJUiR2pCykSdFnSVnRWDgm650QQaUcYjz7N8bcI69LF2W9ZI+DnxlL+JQuiiyqEEfT91JkIBe28MZFwewyk1HWTb2yzhuPQ8vlFyd831u7PPSUz/GFyhVsimgPawSJFAzziy0b4VZMHM7ZO/uSDtwWk6fyTa7BK544ttDexd2OsXRV9pHjuuLejFRbuta+dg9OL6fMLEUMhjGQbUK1aetelG5Q8weYcB9RLIgT7UYTFIX2WZo0Z/XqmaksF+VVmIO9sh9mxQZc43+PAVsUwaWpSJWqLZgWwaaUKUo49tY6Zbkr+K0/n+DOx+pllWAB7FKa+JKxMcjlZ1WVg7+eLbge8Mct8K/3Vu2uH6kqtJXH/LgbB6hCpogK+CuZTuc4WISxGbidHhdCuctIGNK+4ZXXh/yr7+rwX/5EspJvECwzqs222bRGk+SUWm3XyRi71OeOLCxulHLumqzt4snsQlu2yxWHb1ySVC70QudXgJ0aSAyECfRjjx0X7eSmF11FpzssAR40toO35zbOf+ZXpybETw8GA4ZRjTgxxKnr4i6DmZJF1qPzcjlZu+NtGbBWaykqe5+LMqgswV6xCVWagb7id8syW6lUwlBY/uATLd7z8RbdIls5qrvd7L7SORkpqqpcoOPZyxGmXhfMFiHK1uyvB+nj3fVVF2VNLUfFLqxu3CorI99y5jZSIIwk31fSGJuxuUIIQ2oUpJaWF/NDb+8yv6T47T+fYDDiqIyBvHBJsotN4JogjNtlA5wUUYVMEUWThHD/jJMtFaALW4nzxkBexVd5bEqApwbiFMJUsDoE4dc5cGLlV3/1lqtue+Lg6RLgwr+E933gR/pRoo5dsyvkks19bEcVIDbCkla6S6pbb6x/FselCVnEPBpsjmYwHbDFmC1YaHGVZsBPC+9bylJ3S5mANjx7yOcvb2vQibXT3eTAzn1vV7vgiWpQaUe09/iOzsUpX0cvIta+P8JIXwfSi3R9DuYi2Bw9obIY8SYq2rzcX1NI6cCcgdwFaxIj3LxsYVTG7M46lMaSxIZWLeFdr+3xxa/6PH5QZDFkpsddl3BFk2ffpfgZWeDp/heVgVrloMxWnKIuJdfhtnrcxCiwx7RbdTWrjvJODcRG0Isly4OQl18acvNlzxz7T//tX/f//z/12yXAAWa3/zBSNTg6/1k8+2XmJjNbLvsAMp/0KSvd3nmrVeXziMoTwXoaPLcgzWiQWXVNxhlcmTFwl2n4XHdrL+XJox4/9ivTPHUowHqylCUFg8uKLWiLQT7jOzWsZw2uJ1NGEjuCyqsyQvq65IodfTrqi4/bhS6DJzMmzYPOXLK42g7niQvrZICxOfDdhCxhHMBTrFtpI8u1l8T87k+v8kP/VfDU4Sw4kfmHEeVykjG5Y+uSzd0mCVljRAbqcSbPFUdejZs7KtVmonHyrg4nNZWL3VpBavNJs5Zt00N+4K0v4Du+5dX0egPWAPy6vZvw/Ab74y202xtoBO4LuTR5devkcuqppAT7ere1yZ9KYVUB9tLzFmKUtWUlmSPFWnDnCR3tGbpW8vufaPL4voBUVVhblPUmINFirJlBrHVOiuKxyryWkexlDtwxJyBn9a9RfjKK6zFgVxFuq32aI+/nzL5OzbjNiMhk462Fm0xrRDYlGKfFRSalhFAIY0kxaGG5/oqQf/HWHj/z3z26iQCPMj+eMzY4kItKX6ZxO8aTBZxlJ1A+NMj9Tl5jks9Nqc5PEc9xbEY3X3Ap/GJuTHZYJgLLVFAjHG6hO9hJd9Av/p0C4FMtjR/4hzfMBkfaSX1PmnazXcwMUC6NLnkwOsO5nKMxdl5zEOdgHwP3aHp+nLlzsKeVxE4GbpGiRIISKdpL6Rt47yebfPTLTcIczLLK3q5yToq1CZ01++xU2XucsUUJ7NFkjijAvRbZf5s8GWfvsjx1XIfnamCc0auSxYG7lCrCOi0upckyndYFd1a6AJSMzVOLLyzveE2ffSc07/1Ei16MO2CZDi8eM+ikRhBVQJ4PasXYYmAQVIZ2Zgc079kccZ0q7F1dxaouibGuktdUDpoLVg3NiTqpCI4Y4x+Ok6j4ed5mx6/86q9z48tfdmSpX98YDpZuraslgoBsv5ps6Lq0I8xVMtbanYurqXdR1LGM2oN5A8PawLJMx4+Cu+qeuNazXgx/8jdN/ut7Jplf9ivdOXm2Mn/t2DuQmXtSGQehK/U242XBI2l7OboX5PgWK/n2K9VB/6L6nijbAEf2lKxcWNUZjUUnlByf0jqaUxhxdWTl5/lFV1yclnVLLLBZeZVlaiLlhVdGdPqCZ45olwRaY+znT9ycLFNcw9W9iUaXsepUcvILeazhwVbv1hXC5uMzUuv0dpwK95i18CkEWia86sWb+CfftPN3zs8f/uOrrrppLYMDmLSFofHZuqi/BRFcp2WPwIsRwi2FqVEkQiFSt9W0IB9ha9Zhr6pFWIJ6tFw2swTXuCal5z3O4NX+Slmz/PVnG/zyeyY4v+K5ITdyXHcrqhlLT1SALMb22aGM9td636MTBqqJiPKUir+NsP9WNh/pYqlIFRhn7sqQTON8Z8fWmTTJJKWwpScuRMbagsI+FGRSxVqEUcShZct0yn/4gQ5LHckHP9OCWs7gYh0mVxgjiQRFSW3unOR1NEWzcq7lK8c1n05e6PD8QFAydmpdXiYyMEwFoRGkuM7+ljZsrXtI6z2+aXrqs8urg5FjOgLwd7zlVTxz70/dC+LhQEXXzU12qAURFhiGPr2hnx3oTJpkGkrK/Bzkn9CMJXtG5Uj5eh32LqRKmZYvgJ535sgUFRgOn9b82WeanLvgO797DbBdQkcIMlvQAVpniYnxTp2RmvUKD42QUrFyiREHZZThvj4wf82fF9Ij3x9pVHeOTsQShVtRADvX4cZtDSJFLk9ykOcSRWY2ncp4yZJEli1zKd/1zX3uf8LnyBkfguLUVoLP8maQRJmT4lPWouRRZO6g5NnI6uHMR02ICpPn8iTP4CbG2YHdVBCGKTZyiZyBUvi6xpNH44e/92e+fO/nPvjzzw1wgO07NiCQXJg/yv37B1iUlAAAMOJJREFUBxghkdawc8OALbM2m2zqismLmoEiCq7UrVScE9dcWg0wSztQrON7yyJ5sx64E5RvOHJW859+d4rbH6lBTZbgzmVJAXLneedjILRcq7XXlQrV35GlL/5clYT5EjZyYYz/vljfJckPWnUvnDUj3SoecNUezN0RkQWY6xVlCdyem8LILEkkXbESNgs084vWItAIIB0mvPqFQ37xx9r83O9OcvSc74LOHOT5l63Y/hZJTMVdEZlPjshYvEyauP/VFguCgHXikfIYpBaGRhBGKRdvWmbPxg7CQphKlsKdzG7b5cZKjN3WADyu/1M8T0d/+Bc9PvzpY6TWp2YjfvgdZ/mxfxrT7TdGmGSEvCoRw2gwyTqsnVmD1YDyOcGdlcLKBOUZjl/Q/PzvTfLR2xpEItsJCj3G3GoksCy75NfZfntNKTCwDjgLAFd+p2oHfk3iHve/xl/aCkeM10RU8g42f12pEycH/Uhms2yEkEZkWrlM/uSzxwupYi3GqAL0GEtNG975TX1SAz/3O5OcuBCAl7ov8xxMbpEkrP2utjgI7pmsvJbZ22KdA1hcEtnPbBjxlhev8C/eFiPSgCgZcn5Q56LLXxVZm/AXv/63ADxiC3NTUz81N3ndlTumu6/sdgdY6SGZIIr6WQpfZgmfUasr/0jjOlauI0nWA7eSKWIdWeLswhitDScWND/z25N8/EsNonxfwZFMZdXzdl+wGJ6ZgxrWlyZUA7gxx2QE8KNsvYa2/w63cVyPZDQZT9u7P5rv7ZMz+GhjhC3194gOL0EuqiDPVbNQxU5jSWLxVMq7XjdAK/jZ357ixIJfWhNfg8kLkOeNlMVtnKvXB3l+XJ18sWghaGhL5EnieJJOOyBNNb5f55q9L/x/2vvuaLuK+9xvZnY5/Zxb1XUlXTVUaEIU0YTBBOLg8GyMncRvOSsvtmMSx3YSO3GcxMQrKwGcxCV+OHZCcInfc4E8ngG/mBYQHZnYBhSBekFduv2etveeeX/MzN4ze597kYxA4GS0jna9u37z29/86iMzFwx8AhjKPFeWXvE3n70JZ5x9Ybur5K4bObb3zFo+oIOzHCyZ46Gcd4y0YVRGlFhh/Ej5nJi+JlNIbgvMvKPkZjQEdTgODlN88ktV3HF/AW2mfbuTjFQJRVEDS5X+wSNCxVpqt1hTY6JSVpAkPUYcVG1qTAhJOgIlBoWxS5Dr/XQp8rQWJd6PpjqXmSms0/mN1BJmll5Lm2JoULKWZFvNSQwenFieDXAZUHQgsHxxiP5ujqeeczFRN3t/uqcnK3TnjANCkNo9JRtM7RxSQpIQqf2qFSi6i0UQXsbohI9GUIvK3csfOHp41539M1dmAJ6R4FAHbTYnbxicX1tbHw/P7K0CtZLAeD1CPid1jGkDj2nQgXlhSNEU05BDEgcqkqIoieQOQVmEyAH+8e4S7rivgDajNritqa3zTlss07zbDigWliBOG3hM/Xcnfh1bMgmxGMkrtdiQo5czRh1haU+SbeZgFLZmJeWfYkryhIsDREUpkDgdmpDFkIUAUVG9JBJwwPGuK+vYssvBzbeXpYRm6i5PQJITqKprSCyb+h5j0BtjHKGWqXpIJU9gYkxg044IPVUXA7T8/OhY/YZKudjx2dJOK//b269EdwXRGSsXicG5wMLZTczpq6NWbklfBkEQRkyVlqaxhdMYY8pLM31OiAIwERnJrWkJS0tuEoIyDuIA9z+Rx3fuL6BFTSnd4QdFTSiMujoGmGECPaFTGdO8ua6TtIEN6IxogvksXgHcHZYtapIGtIaHtiybQFfma+07nlROTkcDkZiHC2HkOORUWj9V9QjOmQqaIPAigXe/tY7LL2iARBzgISAi+eMRIEJ7nZCuv6EA2gIIlXk9Mow3aZqr3wdTDniu+lEia9MfnWTYO0Sw+1CAl48EqHbPF/sOhdHKMy7v+Hw7SnAAOP+88xCFje/sq/x4acXfVTw23sZwHZjd7eHocBlBoLLWUQEGHmsahPZvUADSGhWqDUXEVgNqczwhJrilpZK6EagD3PNYHp/4uyo27/RVwDCb5icpgAR3emBpSvDswDJtwYwxa2xLqVBs0z2y89OCu5Ou0LQKmzpwmAPLlE48TtdgSnC7Mh63pLj0H9cGHq4MMZxQKdGVNOdaqnP5rhkJsWpRG3/70VF8nAI/eLwAsBBxjuV44ElStyQlOROQ6ZqF8r1HEocZq8FjvCS5MAEBERIcnuTo722gEQLP7faxttQ1ufr0s75TKuanfMZTArzWPVts2PDtLzaaC2/4l8c2F1/ck4MIGX7lMhclPyelpKpcJt87h1UpQA82pzDLa6BrcDODllASgjoS3N9/NI8//p8VbN6lwE2n0HcrEktp2hxvuMPCjrG0JXc6zjRLT6yxZAcAk8zMdOjusF+sbk0GYnrACWEva7An6wyqAq1RgQFoNcA0aIuU3FAfWwFwAgIqqQSX1T04p7G2hHABtIHT5oe4+cNjoBS4Z4MCl0VXiMENNB8nCJSmSNa4F3JsImwPK6LeiR4vOVQGwBd9YHZ/hHdfOYYwCrB5p4Nz155zbMfuf//iNVddP6VZYUqAAwDJn4V6Ywz/99HNaEw2MbNC8cRPPKxcRNBVDlDIhTGIKbVfudZImCpDqkBNDAmeSG4VT0kiMEfSEg3uTTtyCbgzvNuJeTdR4PaIHD3HZf9SAzmaGqRlXGJT1CTGbCzFk6nemAF7Jw+iKYA+XQIgwKYncbJ8aKluSvNEJ25LdGHQEwqiIu+JikbQ2hRw45aIAqvSk0fxBQAIgFULAvzlb49BCODexwoAokRlETvOWLBFJAhk1SDEBWW1+2wcOGNosRgVcB2g4BNUixQrFuUxp9qHvtokLlrlYv5pS+F6tWkfL51u4+KFc1ulnPtb688YmFzSDyyZ4yDnOWi2KdohRchpUrPQAjZsqU04CNXusUnaNdOvRHsMUsYBB/jBE3l88ksVbNrp2+DuyL8l79agdjoOKJPkRGZAg0VJrAGjDfYY5PHUDnzQPcDG9Csj3ASxuRwD20K9IaEFydIVg5fb7rWmLz+sglZmFJCU6Eb+Q83L4yK0CS+P2hSrFwS4+cNjuPrCuuTe3OTjipNbUzmADSD5dJKhqwOG1PtxVH5M3wMaLYYte8rYureGerB6stXO/5aTn9ea7vlOK8Hb9WF+9qqBjV2lS8du/9ruYrXMUCsDvqsicFKvMZbYWu0Eybmzvt5aayIltpTcYQzuf30qh49/oWrTkozETjg3aMK7tUEn1pwgrTFJqdjQgZ6kAJt0ANupTN89QaIKy0jzDlwmbSSL15kusiK7v0VFhLDXAx2ArZyoYulOjIKtWjcuubigUP79VFGa5OzSCg2rQLAECLBiIMBnf3cMQhDc/2QOEZD4q+h5/RCEdM4KFciZGnAyYVQtNvPCQJvqgXYgMDIegVICLgo495LLx/LleRtHhiez5kujTSvB58zqR3d37ajn8Osuu+TMoLcSoavCUcxH8Fwel+yLdd5azWbxblj0JDbqkChWEWpwCwd46Ec+fu9zFWze7aXAnVgnE4qSgNshSaltM76SKqB3dIMFkB5oZlR/qcGkxRc7rHu1LQN8A8EZA2dsybS1JDbQiUFnbI2KrUnR27XUNhPus0TCa82K/rUJVgwE+NzHRrF+bRPMlORCzac0K1xpVsLYv1vH+9sdNeLSByUIBOpNjtGJEAeONNDVvyIYmwyv83OVo8VS/7TPc1qAO66HI4f3YmDBwL7TVy3ZsWiej+5yE+VigLwvo9e1u6sJ6iRyJxlQEmprTqgRaqYl9wPP+PjwX9ewZXcu8QwkaWoylb7b5N3IAh2qo8GU3Dag7Q5gSO8OgDYHlDHIMxvjXV4Z1B3M97HFMgaoLaHNtB5mMK4Gs1YZJsAG0npyHcCS0JQE2MIoG65BzkVKhcgd8DbF0nkBvvQHo7j83CZYpIEdGcDWwOcQQiAEEGiVIYwgBp54EYYq5rLRBiYaAkdHQrTCPGbNHdwxa/b8fTt27oHnTUtCpgc4AFBKcfTlR3fnnOb7ly5dgN7aOGqlFvK5EJ4bwWFJBqqMz4keUBJhWSiTFA8RHC8CXODBjTl89G9r2LJHhZsdB7ihQG36mqQTZqaNOSbPpppGGeA1JXKnAWdaatvqQdvQJddPDW+RmrH4uPaVNtfFZxIJ8HlKoiMltUHifWIpbunElU93WlfOqaFHnxrkGuiiTbB0boDP/94oLju3ARqGEp0iNMAdWlI8EEDISRzEwGOwSx/wkAOtgKDRJhipE+wbijAwuAzjE8H777r38d2UviJ8p+fgANDbNxdhMAHmFA+MHQkfLTmPX9xsjKDeKCJS6XdtyY2MSjBxlko4N6MhXD/EniGKJ3+ax41fLWPLbhPcTjK1aIkBbpKoBB1FU3SePF3fPm22tj0C0xHzHehJjCuTYxsDTEtgq+GnZfDKzncEu8JtnB4BCT0RIlGJ2/7gal8tlQksDh9LdUhVoRAqjUPGn5wqDh5BVZMCKAcRFLLuE4+1LHakvXGNAGgQYdn8AF/82Cg+/VWBp3+aw55jnkwNF9+U5OLgBBGlCATgmlbbOHYUcRxmyAmG6iGK5TKWr1j+6C+/bd2B8fEGKpXCKwL8lbsAAMctYd/uf9vWikpffHnsTGzdK/VJiapPxEC38xmaSXvsJD1uLsTW/Q4+c2sVv/vZGl7a40N4Zs5uE9CdwR1bKmFG3mhKkk3eox2oLGme5uKpfa3OAKSkd0pcp9FM0is6ADtNrO3ZqS2dKZqRsXqqbcopO0tLLEmut9GUFCexBkXwrCSX+zNEQlEV7oC3KJbND/F3Hx/Bn/72KJbMacmkJcKgLTyMrZyBtnAikeBAUuU5UtRqoL+FD12/GAOzc1+8b8Pj244H3MBxSHDdhhorUKDljSNtchfc1rWMbgKjsmyb9W6tYOJ0NqoQlAVwcyG2HWD4869UcOcDBTS5SvFAp7NQZsFtucGqc8f1bmLebWhJUtK7Uwxmmn8kWpSUAjBFUU7mQNMCs0hL3KScRxrwsZCENuZovbjJvYXF57n1h8pPhUo9OWReZDklAKE8SZpvOHLLjh5B6MMEEWZ0RXjv1XX4LvDnt1awfT+AnNpBp48VFJGQUtxTHpCIv37yOlshEEUc165dhuuvXHXXnAWLNyIaO+5neNwAP/20mRgbPrh73iXnfmTflsfZkcP8GhoA4D5ABFwSxftaqY/j6HdZRsT1Imw/wHDj31dx54NFNAmTZfxeEdidwW26wjItoVPUIyOZM/QjAa1dqRgxwtNS3vo72NuP22XWwFaiJUlUhdDUxAR8p6kFYLUitirbYI6NQDAMQXqeE4lfBXQQXZdSTmXqOFlFAlDXRigouPxaxDmTKdpNAt+NcN1b6gAXuPErVew4AMCD3I8TgFBw4cY+KvqKKZHWS0IEBI2QKzs42q7dPWfBhR/ZtuPgniWD804+wAGg0jUTT258dI/nXfjCHY82r+n19+CsJQ6K+QCUcrgwqElcE179HCm5dx1m+PSXq7jjwSJaYEm+7rT0Bk0ArtIVmODWvDvJKW7ruS3pjRTlMMBorgeQ7RgZVWA2dURGa9LJDH8cWDf5tgngmJvHUxIDWe5vcHKDomgpbuvPATOxp8ydmQCdC4Co2EsZPAF0kuSCU1BCAMqV74rubASCRqAgCNoEvhPi+ivqAAH+9EtV7D4EGeMZm4MpAuIgIDKWE+qd+A5QzAFL50W45so5mL/krBee3/T4ntNXXXRCz/WEAA4Ak+FCsMqcm1cM7lvUGA7fPVE/Bt+LYtfZpLy2WUKkDU4iPPG8hy/fWcL3HiyiTVwF7rT53QC2QpjWc2uNiQ1uIxKdpAeRU60TWbB3AncC2XjSSXpnWseOMT2wM8Ygof9YdJTcJteG8uew1YnGYNMYtFrBEepEur6lvhZOSJzrUOtsOBJJLuM9efyVEMrnXYCoYxEIwWWSqIDAcSJcf7mU5LfeWcaPt+TRivRDZnHGrFCdX1owBfIe0NM1E11dK76zcvmKm4FDJwrX4xtkmu2KC+aiuf+B0eWDC35jYLb7WD4HK3lPAu4QDgvgugHaJMTXfpDDtR/vwXceLKHNPMBxIRPRe+qXHVwSSmJNSVpyxw5UViW0RFpbwcPTALgjoI35TpKcEHun5O8TQKT6QRbYKfP0VOiPTfjxlGR9V1L6cQ30jAEI5rIGtGGu18eKMwvTjErRMuMLiiiSA84opToMIwdR5CDiLoLQBQ0dXP+WJr5/yzG87xfHUSRtIGwDvA3BQ7Q50OYkNuHLpJoUo3X3sa7eZb/xwIMbRwkZPGGAn7AEB4BLLnsrDu/7cX3RwJXtPZu/i7A9AUp5XF3YcUJ4ToB8roUGD/H1e4r4k69WMTLpy0CFKf25aYwkU2qb/iWm6Z3RxO2ykz7b1Jho447OMGNR5ZiepCJPTP6tVpjb7MGnDfhse2XOYqoGE4msB5Aq2IEgRVWU6k9z9/hAhuQ218HoDBwqub4KPtA0RT03LpCoDPUd6HA3FTShUzYTQSEIB6FESXR5E1xQMOVzTmmEnlKIm35rFA4V+PrdFUw2CZCT5cibEUObSZeCdsjh5ip457Vvax8eCupvveKynwWqPxvAAaC7fyGE4M/UR8+5YP+uh/OUTMB1Q7hOAN9twfea2HGE4/uPFvFXt3dhZNKz61J2ALZpmEliKYWtBtQA1+A2ebdFR1IDTQODU0lwC4ZpmjEN5egs/Y9/oBkPJFPARgrsQEI5zM3WcVKc3BqsCpU+LT6OUcWNIM4/rs8T0xOVGUvTF9PuoRIgSqArd1xBKTg4qKCghEtwcwbKQghOUS0E+MxvjsF3OO5+tIxtR2UHbZI86hFFiUfoKXu44tI1jRWnDT5zPAadkw5wx62h2Wx8qn/eW8TE6I6PlegzuUKujbzfQD7fwNObgT+/rQuPPFdCK/IAz7XBTZWLKxJgawnNUsA2g4RJahCZGTzCNsOnwWrREXNgqUFObMCaldKm6hw2sE3kn9gzFakFU4OSGYBa4WskBmsi1UmWwpAUL4/dahFzIE39tYFIQ4tryQ1h5MIhqkSgiKdUGWsIZB4WSjgIV+piThFRjkgwlHMh/uKDk7hyXQs33hbh6U1S9z0OH6Id4eJzFjbfc+0lny/lnT8pFIv4WdvP3jUA5HJ5Pnro4RsLpZ5bjjZ62iCjKBUn8dRm4A+/3IX7NtbQioqAWwBYHnDyAPMB5oIyBkYJXCYDg/Pql6MCPhUqj4mS4rpWpqHzTsCdAD5R09mxlTSeFzaXRtIJ0ok109Ib1ryBXBPEJJF61uoTAHosXY2Dpvl6YopPBpXQlkDY0j9jBOo0D9kxeJqzGwYhzo2fkJSCm8YfLvl4yJkqnCCnYeQgjCQPlz8PQeCj2c6BEh9vPSfCLR8awgUrR4HGBDyMYP355fa8eX23/PP/eeLGQrHIj+vBTdHYq/ljADjtgiuiH+3of7panGgzcXD9bXeD/PW3e7DxpSrgFwAvB8J8UOaAUQqHEngqP6BPhJpKMOtyIgmodXmRbBS6CW5TU9IpW5UZsU6oTWWSeZLdJ843mI6sTyLpCYExr5eTaPo4Kogm84BtTdVJWzunaDbuD8k1ZhOEkuwydLZcI7ehKQiQJG9Kjy3slqwRJl+COXilybK2iHKqfGHScZ/KpzxiEJGDgZkR1ixvoFpqYqxR5tesn3fjR3+t67M572jrH/7h3leFzxP8iHZuu7b+M/q68yv/32N7fvq+Tz3GJpsFIF8GYw5cRi0unZWqellkJKdJCyxjCxJJTFMgMP1PkqSZBm9Pr1OdiBASp4ywwG2ka7DmO0yJTroZd4IE8Oa+hCS5Ec3OpDsyoUZRLGro+XUtITPdhVkCPS6UCySVMfR9dyiyS0xHOTNAJZuwKaFwOg7AdCwTmal8Z0lsAJD8rc5ypstA+m4bxcIEhscCbNj+K9GhidPO8J2JTe9/zztfNTZ/Zg5utrpYgZFo7tZli5+/4TO/S778l1/bROsNFxUPMlreGMClVWOWxDJ7nMWDjQ92BxphDixjDp3m0/rhdziGPq7dibLLcr5TJI9xL0itn0aEpKlMMqYkifZbDRq1CsTUaacdsUyzPoiKx4TI7KM5tunAlVw3ic3+8QnjP1OW0PgF6TmSPMMM8HV6TZF69yR26YhCB0PjBAea6/ncuWfccMXgiq2Hj+47GdA8OQBfsfRsCPFMe3bfW2777v0vF1bMmf25/fsOw3cdOzID2kvMREUSGUTJ8Z1vSmDCBky6s2Toc5oSwAYuSU3ToLUWLaCT7DW8UjPRntKmEJgDTJIy7AA6c6XOL6KBTkjicZgcUwJYgzH9ZBNVpC4rIoxj2SmQ09HzyXPVktwWTtzQuZtGpHHuoFSZj/5q5ffPu339bbdetSX6lavOPt4nN207KQCXN3Muduw+EP3Oe395+xkLnx3/xrfvK798aAyUMRAgroYVCYKIJL3Zwk3qecWDpQ6vAsCUQjI7LjQfeBbINiT1fsTqFNljkkwnyEj1NPI7NNPXSS9PJW2t7TCk9lTL8TFt/5P4mIb2RSiJnP6iQHWGdBWPRLtDst3E+FrqvaVbAAGPKEKVSweQqbdD0YfavKvH5w6cvX3/XxyM8qVlxwO542onDeAAUCvn0WjU7/6Fy9b+dqPFP/+tOx7oHh8bg+dQBBHQDAnakfrYidTn35AoeiCjtF6WNsB+kLD4nbUNNrQIOi9M9TXQG4k9k5HwhNhnNPXp00G7g8A2JGuyPl4nYEtjU2qbvuH67IlJs+OXIfuNSZ6fMNJWEG1gylx/ommJ/1okxzK9NhW5AecEQcjQbDsIQgqCEKVSBXMXXj7UNWPtR4dHJu4uV352lWCndlIB3t1dAwAcPjr6zWuuutCh4Dff9+AjfeNjYxidJGiFSoeqnmvHRJfyCceR1rFTUCcCbzQbbKkNxpRMsX8a3JkgCNKBf6sjpSlMlrJ0aJ0QrueV5RKmtDWNNynnKn3COP2yQWdiqS0wfY/rcCkWt4EtteMAYStsTn/btPEnGaTGtyYImm0XQ6MM5XIPFg1ceGTuwov+MIqCb5Yrs44fbMfZTirAdevvrWJkZPT2a65aR3l76K/+44Uf9YGM4F+fzSGIaEaDQakt8bRTUBzCBJkOmKMDxk3JJaYHeYZTwwCy+WJT24hxHmsbyXYM+0BTLBv3mXjhJfeRWBptCR5vN8zzZk3NxJIpTxqXekwddzqwW4PsDhLF9HvR+vE45jP+PEhwc8rl+4UEuss4wrCFpzYxiMjD+eetPDJ74KJPttr89nyhdjIhGLdXZeiZrtVqVWx85vHbZs+ofuLyC3uH1qw6gomIIzS4HFUZXl0KeEzAcwRcJn8OM1RphrTPPHCkP4/TtE7ANbh08nKJzacJkNakxAeyjpG9xhMy8ojsskhPNV9WN59ITr1MEjpj0IcsVKfg1HqJTNUHDEOQMvyEEUUQUQShzJcThAxBqPJWKoUCIQBjAq43iSc2D+HgeNdQmxc/8eBDG27LF8rH/5BOsL0mEly3y6+4Coe33/6N4fHu9gM/WP33YfNYueILhBGBkA6YcCjgsiQSR0dUk0jEPhIkY8lL3pGpYXgFFtPpXWXN9ugAdsAyBAHIDFiJXhl3mykRYrWYPXSQ3kTzaz3oNNWFKTWfpi5aHWdY342Twehx00M+6azCeLDEum6uPAzDiCKKiLRuCv1llgZInVaEAGi2XDDm4ob3DKJ7zjuOMJb71rqzF55c0KXaawpwALjxW3kektp38iIfXnfZwa9v37Uj98wOhgKjyLtSWvsu4DASAzyMBFpQ6cK4fh1GNlLjhdngSDTIUwGdTDOfDnrQGzIaF3OA2YHinIDQjps1mCQp4JvalBSwY2Ge1jZpDYleqTQpnZ+MUN5/poEHtlYlHgXbnVcWYiVoBQ7CUCX3JAKuI/dxHA7XieB7DTz5XBX9M85qnruq9/0zFy3aCeKFeI3ba0ZRdLv1z96DSweDqJYfuPOdl/e+9+r1/c2J9iRanMJhAp4L5DyCQo6gkCco+AS+S2LjUPx+1AvXuvQkE9IUP9gdYapmAhVQ9MOkJcSW0mk32cR8HhMeaNM4eQXIi9Q0njfvQWSXTZoSBziAWPsm/GQqfU5y9sxXKWXVjC2bqtaSLiep/y6KKFptiskmw0Sdod5gaLQY2m2GKCIyRoCNYCiY3dy8f957Z/YN/u9HHrr3cULING/m5LRX7YtyPO1f7vwe7vrHi8XiM2a+eM/j9KV6I/+2xtioW8sLlPIUxTxFMSd/vidTFUy2gGYABFwnptF5r6WXmzmC182kEqanYadiUzSuQ5nyQaFGJQdCDHO6aW5X2wx/FF3RwfZr0ddCjA5jqxLjL0T6S0C09OnkY2IPctPL0h1AuRPT5N7tZ2BmQEDGpN+pKp4+j+5c+v8gYhgZdzE87qDRYggi6YtCKOAwAd9ro9a9oD6jf+b7rr32N+8cLz3NP/jr73o9oPfaUxTdugb+Bz544/8SC1uHv3fOafOcA2V8eejwvmreA8oFimKeIe8zeC4wPNHC3iGB0SaFo/OOKwkWGQGqBJDFllQOaWLydcM4Mm0zQKL9Y0BsUKQBZEpoS6rrt27SmuQ0SUupBS1jY6KISMYVab6t/y6mKcnoQ+vFERt3OlMS69qMQbzsrNJ7UydM1dcgnaVU5yEAZRF8L0QrjPDyEan6810g51OUC/KafNcB3MWjnM340ObN4nsT+76E0pwPv16we30kuG7PPnwn1lz9Ppw1WHthRn/3/sGBGZcgahR8N0B3xUVvjWDBrBArF49g53ADL+wuwHdInGI3FLIYaMiJymuXwCZx2jIAa0hNLc3S8ZtagkuJToztWUcrU2qbdXmSejzGOvPLAGJ1DnnBHVSNRi9ID14zNGkqaa6+OKa0ppllETt1ackttxsVqOOqGzqvjdwnTusGAsfhqJTq2Liljn/Z4KM+CQjBZU7BkKNcqWHR4tOPFStzPjrR6PnW4PwJ9A/e8HpC7vWT4Lrd/Kn3AQCGhke+4TjM+dHGjTdt+umjfQ4ZQ09VYO6MSbjeGCbqDoJIlSJhAiEnaITARCjzaAAybYRPCTyqK4oJFZkiRfkrETxifWqNKUmBSKHIdD21tCuwgZdRipvrzIEhEgmtl/WfmNoUmPwbgFVGEObP1rJYx4ybMK8MiRuDArnOZ0O4KuEegVJpuOEq/rIdSBUgAeA5HOVSC4cnIkyMc0BwNJoB/FndWLrioiOr16z9ozAMv1Eq115vqAE4BQDXrburhmaz8U/r1l1Aemv4q91bH+zLO0fQV5vA1oMtvLinjJJDUPYj5F2BehvYOyYwVg8gCAXxGBxGY5O/rh2UGEGMNp1hIz2gNGmJsd38MqQlJUmDHiRznKmaZewxrleDVgWyJyZ5wKjKoNZzeRCrdqY28mRuODVPEpWglTiVSVdWh4XwnBA5PwAlwMhECUNjRTRaDnJeiHLLx/K5dfR21bFjtw+Xhlg0t4rz11185Ow1530y4vinUwVu4BQCHAByuTyC9uRty05bE5aL+NzYwfu7CDuMR553MDRWwsIaR3cJqBQoCnmG884aQz53FBtfcvHwC10IkEeTMLgCcISMKTQ1K3EJbJIARr/YDB2ACUY5QAKxB4sWkIk9QM1QjvhEU9y8lsamZDeux7zetJXSyk9IjPtMa1uMv9cLyqPYGjSSGORGVmAiAe65AXJeA09sEnjypSJytIDufAHFPEOtGIBRgTn9TVy8egwv7imjp28mrr3m4uF16875eBjxr1fKpVMJsVMLcABwvSKiMPjm7PlrhnzsGNx1pPeWOzY853b7BDMqAj1Vit6ah4FZBOetolg6EOLZHWPYdhPDy0MuQsoQ0tQLRWcVXEdndDU1a89r1wEaS7hOHDdtANLaEdVFSKL9SLsH6EuxDFipQSdg1HQSUBHwqsArYKtESVL4VZvy9UEzjlKZ0a4wJHkCfp0CJO8HODwS4LP/3IPHts7EylkuzltCMTDLQbuLQgDI+2W8/dwjqPSuCoaHuz5x2SXnbC8V8/f6nneq4XXqAQ4AzHH5yLFn7561dL33wuED9bdf2n/rlk0/IbVcm/ZUXfTWGLoqEcLIQatdwJzuBsq5NsAjmJUOdLOCb01tA+wdO9GRNHCz4WlJaJoZhkYVgi21oFyVEeKallggF4jVOFwkBgpuXrMAKCfgVDqtcSXOSSc9uQ586GDftTMBK+mtgQ7jeUDAYREm2wL7j5WQZx58IjAyEaIwQkEIg4CLfK6Xr1h5gbh+8bLfeX7/6q9t27O7fd6Zp59qWAF4gwAcAGo9a/DYMy+1+7oGvrl2FR6eW22+q1U/9heNyaOolgSKuQgOkxlJRURiAwY1AYr0oCsrzU0bSCy8Okhqu5KwybXt0LMMuCnJArvTANNwN4jXG4WbzBpOcda0OI8JVIm/FKC56YQlT2J+2WLzO0FHmqJbfDxot2YSF9SIuECjCYxNyAyxta5ZIPmeP/NLC75XLQ3svbR6uF3peWOAG8YzfEO0i85dhrNWzW/kcGxLz4wlN52xcvAzq04bjEpFhpwXIOcF8Jw2jo0L1NsewBy4jMBXTluWsiKWYoZDUornmi+7k4HGVPnZAchTbKepGj7xF0H9UygSsQ+gTTW0Mctcjrdzw4JrGL6EShZv1bgRiL9s6oTWw7HyopO4O6jrSaLmo4ghCF3kXIJytYF6xDHZJphsRog4xaw5C6JK1/zPnL/2zJt+vGlyS6Ey2Kj0rMQbqb1hJLjZ3vGOa/Hwg/dE6y9/16dHRo452198/PfrQ0/55eIwQj6Jbz9UwJ7DVeTLDipMIMeSqmq6cUDnpLF8y9PNktodI+47WCepDe5kHtC+GjEFgf3VsGItTWAhUVtygbiwLpBkKjY/R0SnG+aSKukiU1yIOK+gBro+QSy1FbBNM3xyHdJpSkv+8ck8ZvUG+LW3jGHbzjLGgypqXVWsv3RN6+orL/mb3t6eT99x51247p3XnmrYdGxvSIADwPrLfwmTk+NwaPSpFadfSuujsy5oHrud/utGfsF3H2FOruCj1xfIM5E4JCHRK2v6KSv4iizIO+i6LfO6Nu5oA5A21RvgpkSlgwBUnVDDjkOSayFI9NkArIGkacnUqj1CiKodj/gbS5FUPiM0mQeAOI8l0ZKcWBI81o+bwI6rb/DYt8QMWghBEYQOwpABRODqc4ax4xAPH/uPriff/+tv52tOX/RkxPmnxsbGUam8du6ur7aRV3+I16d97ObvwvOc8uho46tbtxy4/vCRg5SGk/AdikZAEZgv3OCornLH9VSOfdcRago4DpHJhRwChxHpg84IGJXzSbqHqcGdsVoa3Ds2qcOkIiKz3noh5sDX8IuxLLA08ZWnVIAxaRBjyo/eYUJ58Sn/epfDdTg8h8N1I3hOBNeJ4DiRtFISESfa1C2MpF8JQYBKmWHmzBqvdc/7LvXKHwAPxkn1g6caEsfV3jQAB4CnntuFYiHfu33nvo9seHTjqrA5eu2ePduxc4hibNJByZWgGWowWTVA0ZccE/AdCXI9dR0CzwEcB3CZArgjc6M4CuTU+mlQaw5OjGV7MKpbxrtRAJwLg2MnPDx+IeZXxOD3hMi8KVZSIgV0aU6H6qAqYMQRsjO7GtgcnhPBdyN4XgTPlQYcxwnhUAEuHIxN+gCAfK6Jo8PAtr1VLFw4iFn9+btmzT/rhUJ5zheisHnUK568oODXur1hKUqndv7pCwDg6Lbte/70vNXXDWzZsh2NsRnX3vXoRvxgQxMFz0Xep+jpG8dP9jiYbOVQ8wgYEXCERWFj7m1mqpKO+jaw9XKiItSgM7wOU9wdMKS2KqRkgljrqhM1ppFlgGhnJnkwSgU4l9fHITUppqk/uRvFr6l0SKP62Nygb/G1yhzurhui4LcQRE28uKsMj1bhOhFARrFpfw1O4SLMnL/0roGFgx+t1+u7mT/3VEPghNubCuC6LR6cj2PHRnavXLnq4yXKvtk7Z95Huio7Ltm/ayv6a3VceHYd9/17A7feMxMeyyHHCCIuIDSNSfNvKkAplfRESW9GCShLKIpluTTcZtNTk3vrmFLBk3UAYnrCY4kuLBBS7dZIAXAJcl1eJFaF6vzz5sAz1sMLlTcwKbIa70OUMxXjcFiIcmkSX73XwQNPlbB2McMZy7rQN/cMrD5r+YZDw/1fWLBg4LlGM9zd1fPmAzfwJgU4APT01ABgmxBi25oz8cLuvWTWjPWrvhLVX1rc5/8b23t4FAjbiERO5mPhBJHiCml9twS0/twrkDMKRlOGG0M1mAY3Y0n6NSDxIwmh82wbF08EBBfgXCCK5FSooSbVA2atwFUgBxWqsoLSf+upQYEAgETyS8MUBYrVjQCgwE+ZlOAyELiNF3YXsfNgGVddfFa09PTTthWL9Q8uH1x/AMCWdPGtN1t70wJcN/UCtgyPjGwRPPqF5rg3p1pefkf3/rsrff2Nomi1EXCCekjgO1Ljks5BKEEtJbjDCJhD4TBqGXiS8xmDQJKAWwdJM5pEyISRsjZGxoCSSBUfIIEdhBxRpOBNhLwWPdhT+wpIFSA1HaiUhkjXiNL+JgTyi8SorEcfl+OLKASX9Uo9NwClEYKQoN7ux1krlk++6+3vGMs7/LqZcwb2McZ2v9mBHb+vU30BJ7MJwSFZ5rHqxp/sPH/vYecfdu96MXzmuee7H/nJWLnHI5hRipDzAM+l8FwCz5Uhcr5H4Try5zhUce9Et649+Ex6wxS4XUdrZeQAjzG5YzsgmGwQTDaAINRuqRLcYShQb0aoN0O0lf+v1uQ4qoPJQS9Bkq1W32eiQ9fr5SBZXofvAjlPwHc5fE/AVXGReT9Ef3cDXdUxHJxYhGrXmSMLFwxMHBhiHyD+iqcWzC6PhiG46/78wOJNL8HNRggFAP7SjoPDfb0LfhhEY0v/7vPfb33+b/7sD/rufPa/792+M+jKNZYHQZCbGJ8EAZXGIELgMArPZSmVoWIIQkrjSNMMwzKY0ByZ9kKDynE4OAcaLQcTDRkM7ThUqSgJhEcw3ohwbExACC793lWH085OZro0U43OhaQ2kdBhaUn9HCHk9biOQMQFglA6TQlSRJs7TTcfvVjtP13UFl/vhaL7b3P5r3x9zsx3CyHGOCGVU/0KT3r7uQK4bssWzQQk660//9I2+J5zi+uwW3758pWsv6d069BofelLW3ddNDp8hI2M1RVN4fBdBtchoAxKlSg5axASRIY2Io4rMAaGTOnY8z5HqRCiUmwj4HU89lwBR4dy6CoRFAsOmM9QyAPd5Qh+vo5ndwIkYKjkBYpC8n2HCThC+4mQ2NNRS/BQAK2AIwgjUErgOdLyGEUEQSAQhRyFnIN8noGLPPpn9UbdvQOPRShuCcTYDYTsjSjzwIQvhpu/g+7q6xrY9bq2n0uAm231ssVAIvzCI0dGPuB6Xtelo0N/ef9DD3lPbNwRzZ9bOru7wtbw4CiODtURhRSOz1DKc5QKHMPjBIeGZbkV16EW75XBCLIjuA5Hzo9QLrQxs3cMP905jns3+ljSF8F3KXI5yY2LOY7erjbOXX0EDzzvY9PWHgxAhoe5joAnSKyKZExSJQgpqV0HyPkcw+MhRsYi5D2CYp7CdeRtElbAzFmz0NVFn+2rjvx7QBay1edc3u7t6/7jdrM97Odr6lG8fnGRp7L93AM83fr6agAwDOBDAPDkE48DwCUEwZU5Z/i6vQfay5rNNkaObkdPtYHZPUMYeqmJ57dXsXh2Dr1dPkCAyXqkpCuF7wIgcqDpexGK+TZ8dxI/2kow3vLRCgTagYijc3xXIOeFyHsE5y4dw9ObqxhrMRR8gSiCBDORFta8LzUnk3WOiAuU8sDAzHH8x94Gth0oYPm8AvJ5H2eevgyFQh6Tbe+luTPLdxQLufuEEBvWrTuxwqk/b+0/HcDT7YJ1FwLAhnbz6AYQPDp3IR8cHRvlT244yOfMnbFw8cLBPzrS2o7B/TNRcYdRLY6iWJjE/U856K7kwKiL0KMQXICAw2UR8n4bzGngnqe7IQhFGElwSn4srYwOkxabt53fwBfuamOiXUA7BCLOZQIjIrl6KR+hXJjED7dFKHoO5szox5Il/Vh8eBzzFy+DE4zcxKKRnRdccAHt6emmrZBtB/DD2TO6TvWjfUO0//QA183L9QLAD/Vy2NoPQnM1Eex4ctYsguVLe4LlC1Z/rK8avTWfH4fX4+ClTc+BogXmMDiOAHNCuE4LxdwEHv5xG/v2M7R4iIlGhEaTIAgookgAIgAjTRDRxuzuNi5aeQRP/mQ25tVclIoeCnmKYsFFMU/R21PEmjUXwumnqPgu+rrc+6tdI59bODDpzp1/BlYtnb9hstEcWTLQd6of4Ruy/RfAp2iOPxsARgB8HwAOHT4ECLzoO8EMx2nxtQ7Bgb070ZgM4TAHjAkEYRjMW7T2xq7Sy7809kI7OHdtHxzHwdwSx6wa0NfloqfGMLM7RH/vJErVCfheE7/6iwz5ylx39YLqPTs3b7zR93zX9Vy4LkEuX8KseatwfsVFzmG0kHMOCYGdv/GrM0/1I3pTtP8C+HG2Gf0zAGCn+nVswwceAkA+4NJ2tVCKxOzZ3fAdgpkFgf4y0F1lqJUZSpUQ+UIOrp+H44aY0QvMm9tLli+dM7p08cChX7t23am+3Z+b9v8BUxSJLiMMIvkAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTg6MTM6MTArMDA6MDBi/3PfAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE4OjEzOjEwKzAwOjAwE6LLYwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50695000
{'hecke_orbit_code': 1443142566896, 'n': 1, 'trace_an': 4}
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id: 50695001
{'hecke_orbit_code': 1443142566896, 'n': 2, 'trace_an': 0}
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