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mf_newforms • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 56, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': 1, 'char_values': [448, 6, [127, 197, 129], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 31, 'dim': 12, 'field_disc': 4971563078713344, 'field_disc_factorization': [[2, 16], [3, 6], [101, 4]], 'field_poly': [4, 16, 32, 120, 240, 32, 8, 8, -16, -4, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, -23, 0, 518, 0, -251, 0, 98, 0, -11, 0, 1]], [5, [9, -15, 34, 9, 14, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008298799923648, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 64, 'hecke_ring_index_factorization': [[2, 6]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'char_conductor': 56, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': 1, 'char_values': [448, 6, [127, 197, 129], [3, 3, 1]], 'conrey_index': 31, 'cusp_dim': 104, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 1099545182656, 'hecke_orbit_dims': [8, 12, 12], 'label': '448.2.q', 'level': 448, '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, 7], 'level_radical': 14, 'mf_dim': 152, 'mf_new_dim': 32, 'num_forms': 3, 'prim_orbit_index': 13, 'relative_dim': 16, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41441299
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008298799923648, 'target_is_minimal': True, 'target_label': '448.2.q.c.31.3', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41441300
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008298799923648, 'target_is_minimal': True, 'target_label': '448.2.q.c.31.4', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41441301
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014673420946496, 'target_is_minimal': False, 'target_label': '3136.2.e.e.1567.5', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41441302
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13511073793576000, 'target_is_minimal': False, 'target_label': '3136.2.e.d.1567.7', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41441303
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 159, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504699172553152, 'target_is_minimal': True, 'target_label': '448.2.q.b.159.3', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41441304
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504699172553152, 'target_is_minimal': True, 'target_label': '448.2.q.b.31.3', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41441305
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504699172553152, 'target_is_minimal': True, 'target_label': '448.2.q.b.31.4', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41441306
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014673420946496, 'target_is_minimal': False, 'target_label': '3136.2.e.e.1567.8', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41441307
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511073793576000, 'target_is_minimal': False, 'target_label': '3136.2.e.d.1567.6', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41441308
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 159, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504699172553152, 'target_is_minimal': True, 'target_label': '448.2.q.b.159.4', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 41441309
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511073793576000, 'target_is_minimal': False, 'target_label': '3136.2.e.d.1567.5', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41441310
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 159, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008298799923648, 'target_is_minimal': True, 'target_label': '448.2.q.c.159.4', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '56.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 41441311
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014673420946496, 'target_is_minimal': False, 'target_label': '3136.2.e.e.1567.7', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '56.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41441312
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 159, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008298799923648, 'target_is_minimal': True, 'target_label': '448.2.q.c.159.3', 'target_level': 448, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 41441313
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511073793576000, 'target_is_minimal': False, 'target_label': '3136.2.e.d.1567.8', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '56.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 41441314
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 31, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9008298799923648, 'source_is_minimal': True, 'source_label': '448.2.q.c.31.3', 'source_level': 448, 'target_conrey_index': 1567, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014673420946496, 'target_is_minimal': False, 'target_label': '3136.2.e.e.1567.6', 'target_level': 3136, 'twist_class_label': '448.2.q.b.31.3', 'twist_class_level': 448, 'twisting_char_label': '56.53', 'twisting_conrey_index': 53, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 902975
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9008298799923648, 'p': 2}
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id: 902976
{'charpoly_factorization': [[[1, 0, -23, 0, 518, 0, -251, 0, 98, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 3}
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id: 902977
{'charpoly_factorization': [[[9, -15, 34, 9, 14, -3, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 5}
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id: 902978
{'charpoly_factorization': [[[117649, 0, -14406, 0, -1617, 0, 380, 0, -33, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 7}
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id: 902979
{'charpoly_factorization': [[[4782969, 0, 1318761, 0, 265194, 0, 22761, 0, 1422, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 11}
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id: 902980
{'charpoly_factorization': [[[-36, -12, 4, 1], 4]], 'hecke_orbit_code': 9008298799923648, 'p': 13}
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id: 902981
{'charpoly_factorization': [[[243, 405, 144, -135, 12, 9, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 17}
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id: 902982
{'charpoly_factorization': [[[15752961, 0, -3536379, 0, 575586, 0, -41067, 0, 2134, 0, -55, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 19}
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id: 902983
{'charpoly_factorization': [[[531441, 0, -1358127, 0, 3398598, 0, -182979, 0, 7938, 0, -99, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 23}
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id: 902984
{'charpoly_factorization': [[[3888, 0, 1440, 0, 84, 0, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 29}
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id: 902985
{'charpoly_factorization': [[[10673289, 0, 6909705, 0, 4169394, 0, 190161, 0, 6534, 0, 93, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 31}
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id: 902986
{'charpoly_factorization': [[[3, 3, 1], 6]], 'hecke_orbit_code': 9008298799923648, 'p': 37}
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id: 902987
{'charpoly_factorization': [[[3888, 0, 1440, 0, 84, 0, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 41}
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id: 902988
{'charpoly_factorization': [[[-48, 0, 1], 6]], 'hecke_orbit_code': 9008298799923648, 'p': 43}
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id: 902989
{'charpoly_factorization': [[[166858361289, 0, 7216669161, 0, 215312418, 0, 3370113, 0, 38502, 0, 237, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 47}
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id: 902990
{'charpoly_factorization': [[[2187, -3159, 1116, 585, 36, -15, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 53}
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id: 902991
{'charpoly_factorization': [[[96059601, 0, -20297871, 0, 3161926, 0, -218563, 0, 11154, 0, -115, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 59}
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id: 902992
{'charpoly_factorization': [[[110889, 8991, 6390, -1125, 262, -17, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 61}
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id: 902993
{'charpoly_factorization': [[[31381059609, 0, 1937102445, 0, 83967678, 0, 1843641, 0, 29466, 0, 201, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 67}
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id: 902994
{'charpoly_factorization': [[[36, 0, 1], 6]], 'hecke_orbit_code': 9008298799923648, 'p': 71}
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id: 902995
{'charpoly_factorization': [[[49923, -33669, 7956, -261, -84, 3, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 73}
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id: 902996
{'charpoly_factorization': [[[3418801, 0, -1314639, 0, 411222, 0, -32563, 0, 1890, 0, -51, 0, 1], 1]], 'hecke_orbit_code': 9008298799923648, 'p': 79}
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id: 902997
{'charpoly_factorization': [[[419904, 0, 32944, 0, 364, 0, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 83}
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id: 902998
{'charpoly_factorization': [[[27, 9, 1], 6]], 'hecke_orbit_code': 9008298799923648, 'p': 89}
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id: 902999
{'charpoly_factorization': [[[2834352, 0, 82224, 0, 540, 0, 1], 2]], 'hecke_orbit_code': 9008298799923648, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 3, 'label': '448.2.q.c', 'level': 448, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEQo4ZA9jzwAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGXJWd6Lf6tqhZ1OPp1nunt6piePZqTRJGUJJUvIEkgCbBmMTTJcnDHBmGvgGgtkbGy4YEAICQECCSEUUJigMDnn1DnnPnHnvULV749aodY+ZyTBxb9B2PujpZ3O9Nln7Wc99bzPG0rwf25/Y7dPfu5upBSbnt53bMqkxmyd8wl8yaOHu7zmJbPi5itbi3c9lrJ1bmnu+itOmif3baMWSDbN9Wk1U6Hl7lUwZ+e2vhpgC7ACDIQQL/af9i17817sD/Ctcjtw5AzARVqnmwxC9wcRf/6pv2D31lPs3LJETQUcOvGpeNm87OcHveVv94SJT54J2DQriPtDuqtJcPLkwoeOnxSIdPgDxyd70emzC2yZg2PDiMlW6g+TI3/563+w5+efO/Fp8d9/4Qd/5ezJw39WS558tLe6VxlCEEIq6Z8FDtdbW1/sU/Itcfs/1PACt+cPnMeI2rRvDr+mv/wUSsj45PLUv+4O5ZukMERxwmOPPUGrvsIlW9usdBXHz9VBj0jihJkJw97jAVddlHL6vGRmMmGiGXLwtEeqY+ZbglOLMVfv0uw/Lpmd1ARBQK3mcfi8ZKUHl25M2L19hsuueAkGH09BP/Ju33N4+GupSf3Xv+pqLtm57S7MaEXIjS/2Kftbefs/AM9uKysLGHhLqzm6+PCRrv6FX/+Eft9bJi/qjTb+dK9zkGYt4MjxM3Q6i0Sxx3JfkpqAmm+YCA3nOgn7Tw/ZOltjqq5QImZ+MmD3hYr+EIQccfK8xzCCU4sCRcBgFHPxhYZNMz0kkmYjYvOGLnuPzrK0UqdZSwm9mP5Q0+4poiRhemaeZmsryhtx1e6LeHLv4i/fdOmZwxfs/j4ZiSm5dYN3ELh1cmLuxT6lfytu/9sD/Pmn70EK8Zql1ejNzxxcfM8VF52/bNQL+NCn9nHz1SssnPc5ttBn25yiEcL8lObkcoiSBik0W6ZTjp2r0WwYHj04oj8S1AJYXIWL5j0a9ZBN8wmvubrDc4cneXSP4PljCbdclbJ1TtNsCi7ctMLCiqIWwmBkeHzvHK265NC5gM0zQ6SAQKWcWVJMNhMkKVs3xiwsthgYzeuubXJs+UpqrZRXvWRq79nlDZ+MEnmbENz1lje99sU+xS/q7X87gHe7beq1cObM2YX//Lt/eFuw//jz6Q+/o/ay5ZXJ6//ki2fZtOEob7i2yZcfmWKgV3nTyzzuebLGrgsG9AY+p5cVo1gQeglXXJCycWbEUlfy5KFJ4kSwe+uQc13FNbsG7D/i0xl6RCO44Yoe+040mKhH7DnpcdOlkige0Rl6PHlUct2OlHbX5+JtEVEsefqwYLFbY/M0XHZhl8CTRDGcWfbpjhIu2eJz55OGN1zfYzSY4osP9nnt9atcu+sCHt6/lcVB/9Hvfv3iY5vmr1VzF741arRm/32aRMsz05Mv9lfw/9fb3/kg89DhowS+Jz75uXt43Y0jJQa3/tbBw96lDz9+5lUnjp1UZ851OHDsBJtaE2ydbfLEwTlec90yL7tsklsfbvHIwT47NhtOn/fYssHQP2WIjWEU+5xYkGycHSGEYfe2Ec8f9giDAbs2B5xd8JmeENx0RcxTBzRPH5qgH3fZviniJf4kpxbhyf11Lt2ecOEcHDonqIcxCMX+kx6GGGkiLpg3tOqgRISvfNoDuGCD4uhpwfWXdZluNLn9GcHEZMwtV03w2HNwz2OHuOCC7vUm8q7fs/cIpx/8izRoXXDFahLu++DHPv5jr76CdP6C12B0YjZsuvDF/or+l97+TgJ8dfk0Sio5HHZqn/yjXxi98Z0/+xNpmn7vz/3PI/HP/sN9l9fEVK23EtIKYNiXPL4fvveNPa6+uMXppRp3PBryna9a5dpds3zliYCLL+izaarF0dMJN1wWsfdEwFQzBiTPHm2wZUaztOJx33Mp9x2Aa7YbrrhAstwV3PO85PVXxUw1FSvdFifOeKx2DMqP+L63rnDs7ASrXcFLLx1yzcUL+ExzdnGeEwtwxQ7NIJIcORsy3fDYc1Jy6QXQ7Uou3b7Izi01vvJIwNGlAe9+jebc4jR7jkJ7lHLdxRFC19l7uM9zh/aqA+cPv7Y13b/pv/1o44ZUv8wfjUZ/+M5/8NO/+sxzB8KZmclhkiR6x4V/95yZv1MSJUk1QgppkpWpztLBmwcj+cH9+w8nDzxyYPbJ589MPHMsYXp+kf/wPSNMupWn9td5cn/M/rMD3nxLm1de3uSpfVPc9XTE1GyP73iF5Jm9Le55dsDluxK2zdTBDBCewJceB894bJhIaY8MrdqIY+dTnjuR0lLTvOnlPVZWWzz0vOGqnYJLLkxJE8HxBZ801VyyTXDlRTEPPSdY7vV54/WSevM0+462OHpmmkYo6PZ95iYTDp0JCLwRSiqM9rhg0zJXblfc/cQ0jx6Oeedr2mxsTnH34zWeONLnpmtXeNvLAw4em+fJfZqnDsX0ZY+f/Ufn2Tq1gX3H5lgZbOy0pncu7bzoYm+o1Q9dc+WuBzbPtlbBaCHki/1V/o3d/s4w+JmzS5w+s7TjnieObdu1JfnkBbXPTx491mkePQLx0KNVh81ThqePTnPvnrN8x80rXND2aPc8OoOQT36lyWyrwzW7PYZRk3ufNXz6vj7vflWbWq3F4wd8tsz2mJ0IOHHOozNI6fcHNDf6xNpjpqnYMi159VUDnjiQ4ElBGCSEjYRHDyuaLZ9tcxGjBLbOwnWXLtDue4ySaWLt8cxRyVP7txOqGmGQ4k2NGIxgcmLATqDTCzhxPmV2qs/8ZIvbHgp45njEu17bY9vUBPc9VePpI0Ou2LXCP3hdyv6j0xw6KTh5PuFMO+Xtr+1w1YV19hxusrAiOHb67MSxM0cnVkYP09y07c9+7Sf77SRI3pOqy06OBotHw/rfDRfmWx7gxhiAS2+9/c4tqfF/56779l3yCw/drX7/355grrWRpalZekOP/tBjMNJ0hvDR22bYMrvEzbs9+sM5RrHPIGrw0PMRUbzCNbshDBo8vFfxqbvbXLVjlVdd0+TAiQkWVofUg4T5ac3urYozS4rltqTTTWnVR4SBz7b5iCNnfTw54F2v8Hhsn8/l21eZmurwhccbdAYhc5NNHt8fcMVFXWYnfY6eF2yd96nVYqZrKb4nkVLw6J4ZJpt96sGIiy9QBLLOvU8bGo1V3v1aaPlTfPWRgL0nB1xz2TLX7YITpzex57DP0dMxz500XH/1Ct//xpiT5zZzdqnG4gostxPafXj+1IDJ7kPN7vHbmgvDt9yV+vJAp2t+xBhzGtj3rZ5F/ZYFeGd1GeV5l+zb++xLVld7//Lw4cOvufP+53jmUIfFUY3f+csW/+672myZrzEYKQajgOHIZzAy9E7X+cJDTW65conrLlXANMb4PHlwmo/s6/Hu13e4+fKYuakmj+6Z5vaHhmyeG3LZdsGGSY9Dp336w5heH9o9gecZts6loCRSRgz6kjMrNdB1NkxGXLy1z31Ph4xI+I5XxqRRg4MnJfPTHltnBVonLKx4dIYjBnFAtxdwwdyI2YkhSkk8TxDHHodOwvx0n5uuSdgy7bH/2CT37oXTy12uv6bL97w25cTpTTyxL2TfsYQnDqfEosvbbxgyHMxx8lyDs0uShZWYpXbCyWWJqg35F9+xQsMPOHrgMbXYPX1Z0Lrqa71RcJfv1/7HysrqU0mSHJif/9ZkdPVif4C/zm1p4QRhGOw4dXzvfztyaO9/vPe+B3bs2XeI0ShCKcVopHj2mM+2jR1ecWVMHAfEqYc2CmMEHprjZwOOLmp2bO6waRoaYY2a76HwePKQ4uzqkImJiCt3ai7dFtLt1Ti5IAi8mNgoTq/4nF7QdCKB53lsnEo4t6I5eiZguiUReGyYiVnuGq7eMUTKBmeWGuzeGrL/WMiJRcMVO0acW5bEic8gUlx6QYwQhm5fsnEqYX5mxIaZCF9Cu68IQ9i9TbCy0uIrj9U5cHrIzEyb171swE2Xhhw6voEn9wU8dzjh8EJEa6rNP31Ljyu3T3LszBTHz/qcXkg5txRzfEmwf8Hwzlee4wfemtDrzXBueZJzi4YDh87w/N6jO7q9+LujON2+YcOGB370R3989X/8j197sb/6v/LtW2r9GXX3orz6/KBz4l+ePPb41WfODt+1d/9xVroBKx1YascsriacWzEcWRHMzrX5me9a5MbdTY6cnuX42QYnzytOn085fjbm8ILGa/R496t6vP2GgONnZ9lzJOTgSc2e4zGpHHLBhohbrtZs3yA5frbJiXOS5Y5mmGikhOkWzE8mLHc8Oj3F9ESEJzymJ1JqYcxDe0Iu2qSZn044s1jHV5pTS5oN04aLNkc8uCckCBSzLVAqZq4JKz3BUk+wYUIzMxEjJYwixXLH49g5j+MLCds3Dbn56oRt8x6kDfYeaXDopOH5YynHlka85RUrfOerRtTVNEfPTHP0tMfp8ymnF2OOLxj2LxhefuUCP/XeDhsnpzm1MMW5xRrnV3wWV2FhecT55SFbL9iFV5v+9Kte9fJnLt617X/0+oOFm67e+WJD4Zu+fcswuFn5nyh5fEL3n/qf7YWH/ll76dgVnfYiiABQpFpijMBojcAgDRw9W+PRg4JLtrW5YrsGfEAhpYenJKEynF/02XtSMdQDLtveYddWzfy0x6bpgECELLVDTpwVHDkjePooHD0TsbAyot1NGcY+tSBgvmXYuiFGiJTByGPHphhfGWItiNOApY5kMPIJPIEwmvkpzdxkynInpDMQDBOflb5g06Rmqa05fk5R8wM2zcC2+YiNs0M2zI7YNDti20bDhZsUl1/gU1dNjhyf4MFnAx7fn/D0sZhUdXnbK9u86xZDXc2y/9gUR057nDqfcjYD98FFw/VXLvBz71vhgrlJTp+f4vxKjaW2z3JbstpN6fRSekPB/iOL7D/RvvypAwuvOnzy/I6jpxZuu+nb3h3dd/ufvdiQ+KZuf6sZfHmlzTAyeIr33/fE4Vt+5tf/Qr7npgO3/JvvOOUtrG5guT3B0mqDpXbAUttjqQ3L7ZTldszSasrZVTi0JJifW+UXvneJl+9ucOLcDKfPNzm96HFuyXB2MeHkQsr5bsLUzJBXXN3jxssgkHVCFXJuucaZRY+zy4L+CJJEUws0zVrK9GSCBo6dTej0YPtGn2Z9hDECREBvoLlw04ilVQ+MlSKrPRglYDAstyO2bvDpDhRCGYQeMVHzuXDzkNW+4Nhpj1R7zE5IWjVB6EOSCPojydllyZklw7mVhDAcgp9w0xU9brlSMD9RZ2llghPnQk4vwrnFhHPLCaeW4dCS4WVXLPKL37vCpqkJjp+d4exSnYWVgMW2ZHk1ZaUTs9JJWe5qFruSkx1YWe7ya/8mSr7n2xr3h/M/oIPmZfdLkf5MqkPC2sSLDZUXvP2tZfCP/vGnuPnG6/h3P/ETv/SxT33t33zwY1+9eO/x1R0HT/fkK67qctFmTZp6GKMwxrI3RgISEAhh8IQhkHB6qc7DByVX71rmsguGNGrge5LAVwSBR7MuafiSfs9n39EaX3484Nj5EZ0kZt+JERtnl3n7K1a4+uIuL7uszdHFhMW+oBEOOXza0O40ueoiyeowZc9RRavh8dwxuGSLYRilDNMAz4uZbsHeEyHKS/FlgufDYCR5+WV9Bn3J1RendAYpx0632LlJ0WxErI4MG6b6rPQ6fOJr8OSRlKePDNm+ZYlrLu0wPRPx1pu6fOerDbs2tUjjKY6cmuTQSZ8TZzUnz8ecPJ9y6Lzg+GrMS3Yv8Avf22Xj1BQnzs5wbqnBwmrAUluy0k5pd2NWeykrPcNyT3Cur1juJFx/2SI/9o4FWfPMjsVzR3cOh8kNQWNXvd6c/soj93+W3/3Qn7zYkFn39reSwf/0E3/BpRdvVY88cfD/Pnzs7M8++vRRdXY5YnGoONM3XL39HL/2Iwtcu6vBuaVpltoNlts1lts+yx2PlS6stFNWOgnL3YTFNpxYEXj1ITdfucx3vTpi54Ymq70Jzi/XWVgOWGwLlttWIqx0NZ2BpjMy9IcJsxMxF27UgCD0DSfP+wgZsn2DYucWw5YNfc6tjHjqQIuXXmJo1Fd49uAMrWZEFPnMTmsGQ7j8wiEf+9oUl16QMBoZ5iYlcTqgVQt57uiQut/k2t0JTx+OOLcUsHU2ZOdmuHBThFIxJxch8A1CGLZvTJhuSbqDkF7fp9P3We4olldhqa1ZbqcstlPOtmFpmHLh1h7f9ZpFbr7Mo+ZPcGZxgsWVGourHssdwUpbs9qNWemmrPYMSz0421WcW014+aVn+cCPLHHJ1iZL7QlWOyHd4SQivCT1a5t+yatd9ItpdDp95Wv//osNnTW3v1UA379vP/V6rX7y5MkLH3/q2fcePXb6P+07eJJhJOkOYWUgON9XnO4mvOyis/zXH1nmmovqnF+ZZmm1wUqnxnLHZ6XjsdKBdlez2k1Y6SYsdwzn2oLTPQOix7te2eatL9dctLlGFDVYaddY7QW0u4qVnqDbFwxHhigxpCkoaQh9qIeGqQnDhpkYzx9y6EzEMwdDdNLkzTdEeP4qj+2ZZMdm+NLDCa+8KuR8e0DNUyRpzMw0JLGP5ycsLTV4xXUdvvRAi52b4dEDI3wavOnlmkQMeOZQypGTNTwZsHHaY7opqIeCIBAoAYmGKDYMI+j2Das9TbevWe1rlnqGQZqyfVuft97Y5l23RKBbLK1Ocn65bvV2x2OlDavdlHYvYTUD93IfznQUC52Ul+0+xwd+5DxXbK+zuDLFSrdBuxfS6fqsdgVhYxv11sb/sHnbZX+2devW48PhcHDJ7ktfbCgVt781AD9+9ADz83PBgYOHvn///oO/9fCjT4rllZ4cjjS9oaY3NHQGsDqQnB9IznRjXn7xeX7lB5e47uIai6tTLK02WemErHYDVroeq11Bu2to91JWuwntnmalZzjfFZxpa6an+nzby7rcdFnC9o2KibpPp1sj9CWgiBKJ1gJtoD8EhGa6NeTAKYM2EXc82mTUr3Px1oCbr+4T61XufnyKay/xOXC2R3tlghuv7vOVx0I2zhj2HDP8X+/ssOdoyMYZyZcfV9x8uWK53+HwiRmu3R1x9zMDklGDm64I2HXBkEHS4/bHFKSCQyc9JhoenoD+QKKNINWGOAGkxgs07Z6h2Yq5YPOIWy7v820vTZht1ji3PMnSap2Vjj03Kx1BuwftbkK7l9DupbT7huW+5GxXsNhNuOHSBX7pBxe4ZmeNhdVJVrsNOr2QTj+g2/fo9iXdgSDRNX3RxVeZ7Tt2/djOXRd/ZGlxIbr8sr8dIP9bAfA4TmQ0Grz9sQe/dHFvkHzgkUcf8/tDGEaGwTClP0wLkHcHgvZAcH4gOd1OuOny87z/Bxd46a6A1c4kCyst2r0aq92A1Z5Hu6to96HbM3T6iXUHBpp237DQEyz0IE5HXHPJgE0zKb2+4S03jtixSZOkEk8aohjueqrG8fM1Nk8nPHuoBrrBZdsU112qCWt9HjvQZ2GxyZU7mkxMrfDA0z7XX1Jjqb/KysoEmzYZHt6j+Iev6/HIHo9tG3wWe21Wlme47vI+DzybMlOf4sqLe5xvt3n4+SnqXpOXXWrYfeEQZI+njgg2zMScW4i5+ymfYayQElJt2LE54ttujOj2FFumNdddAlHUYLndYLkdstrz6fQV7Z6k04NO3zol3X5Kp69Z7RuWB5JTHUF7MOLm3Qv84g+s8LJL7MXR7tbp9EO6fZ/uwKPbV/SGkt5A0O2ndPsx1153fYxQP/me7/j2g41m/fO+5+sXG1sveiZzNOqTxP3vPX748V87d2b/zMLCCo26RAgbKGIMpvhpawEKYZDSIKXHI/s38jMf8njnzct89+uW2bk14uzSBGFQpx4GNEKfZt2jW5e0Bj6TTc9eMIOUjSPNYGToDkOWF2qcPGGIEs2pswlhaABBoAyeFPQHCoFP0vd4yQ7Bri2GC7f2GaVdbn1EsffgNG98ach1l6/w0VsNgWiwY2ufpx9QbJ1SzE30qak6UexzvgvNmse2jYIn90Zct7vOq69d5A++MCDwW7zhBoMf9vnqwxFfeqjJ80fqXLSlwY7NKfPTETvnYq7akaKUxlMGMDTCkPmpkCj26fYDnj3g2xKFQQ5E6A0Nvb7927uDlN7A0BkYVgew0FecWzE0Jtv8+JsX+Ps3j7jmoiZnFido92p0C3Aretm/2R8KBiPDKIYkFdx73yP+5PTsr23c+Mjyq1/x8n/d7fX/oNVsvKj4elEBHkd9BPzAmRP3v//I3jtnRoMuYRigMyfEIOxHFCkCEAKksJ00ShqUTAmk5OkD8zyxv8mB0+d55y09brliyFRrguV2g2anxsQgoNf37JczlAyGHv2Rx3BkGEaaKDbEsSFJ7RElAUaDVALfE9QCwVRLMN2CTXOabRv7zE23ue0xuOcJH6kneeNLfV5yWZf7no+JhhPc/BJBezDg/FKTm3Zr5qb61L2QYaJY6MQoLXjJbo9Ga8Tj+2q86rpJbrymy+P7FJhJXnpFwD992zJfeTLiy4802XO8xoXzik0zdaZbDSZbUA/B9wxKgjaw54ggTQVxIogSGMXYv3GUMhhphiNNf6jpjzS9AXRGsNCTnO/CSA95/bXLvP2WNv/gDZokmeDsYpNOr0Z3ENAb+PQGiu5A0R+KAtyDoWY4ShlFmkGkWThymjOfuHWm3Uv/y99/26u8Trf/oYnWiwfyFw3g0WgJQfJPl07f9f7zx7+8wRMDJpohg5G2YAZAIhAIoRBCICUZuEEpg6cMvtLUfcFiv87Hv7aNrz7R4ZVXrfK+169y1c4es1MNllYbdAch/YGfAVvZIxKMYkmcCJLELvUmWy6UNHge1AJo1DUzrZitG/ok9DhwKuYTd9c4fKLJVFjn+is8brq6w8P729zx4AQ3XFLjws19PvY1gRIhE62Y1d4IbUAJmJ/o0+kG6KTO2195no9/qcGuczXeekOfKF7i7mdmidMaL79iA2+9vsMlF7T56uN9nj7R4KkjAdtmJDMTgkYoCHx7EUoBQhi0Aa0NcZJdrLFhFNsLeRjBIILuULAyEix3QXhDrr10lfd92yqvvCJldqLOSqdBu1un2w/pDX16g3Il6I8kgyH0swtnOEwZRJrhyDCKINGKE2fbfPjjX97QG/H+9377LebMueXf37xx5n8PgCfnf5nlwQ4GC5/+vjgafKB9/tk5ZTo06nWESApwi+yBELlckSjpIWWKUiJbnjW+MoSeoe4JVoaKpfY0n7yryUPP9rj5mlXe94ZVrt3VZjatkyQh/WGN3sBnMPKIYkWcSJJUkmqBNsJmQYUhDDSNWkIYRAT+iFNLI77wqOTgyYAjJ6dROmTX5oDLdypeelkHFS7wzKEWW6caXHkRbJpfYbkzwVVbJYk23PZIyKgvmWomvOnlQz5/d8zxsy0uvdjnzOqQ5w77XLBxmmt2LnDf010eeE4wigIu2znDZReEXLaty6Ezyxw8BY/sbXDgcJOGJwg9STM01HyQ0p47Y+zFmqQQJRClgt5I0BkKOjFEOkGbIS+7pMP7vq3DK69K2TwTMhxOstSu0e2F9IYB/YFHb6joDxWDkWAwlAxGtm90OEqtxz+y4B5E2sZMEUSp4vyZNr/7p1/b8MTB8x9oTjaTX/idL3302f2n+cSv/pO/uwD/iff/Jmr+85jDr/kHxEd/PeqcmvLwqNdqIOIM2CY7FEJg2VoKlBJ4SmX3Gk+l+J4g8DSBbwh9QyNImaoJuiOflc40n7pngq89NWTjdJ/3vqbNZRcMGQ56XLnTcMEmxSj2SdMyzS8wSKnxvZRj5wxHzgpWB5rP3dfg1OI0JvKZrim2zHps3+Rx0Va4clcHLRf54OebLC9PcsNlHlfuavPVpwQi8dkwLWk2EvpxgDQSjER5Ae2h4Nyy4ArT4DUv7XL/43W2zAXccOUM/+Rti3zkS10e2dekN/RZWm2xc0udSzf3efnuLt/xqi6nl5f53H0hS/2QY2d8Tp0K8JVASrvqaWNINcTakCaa6dmYq6/oMxrFXHbBiHe/ZsSGScVMKySOa5xZqNEfBPRHdpUbFMCWFtwjwXCEXQlGKcNIM4pSK4Fik4EcBrGgHwlGxuPMmQ7PfvrBuSt3bfz1m67bEH/iV6/6k+Xjv8zMhT/9dw/gP/qfP8HGV75XfO9PqvdsaT3ze9/1yqcbV14U0u01QEiEIDtMqbWllQpSSpSUeErgqezeE/heSuAJAl9T8w312NCIDJO1lOm6oB9JulGTIyeb/MqfzIBOEEnCS6/us3NTRJKANhpjbBJHCoFUAs8P2Hc8YM/BGs2aRyuQzDUE87OSDTMeW+YV2zenXLp9lVQs8RufnuDY8Slu2O1z2Y6UQdLlwWdCpuo+s5OGqVZEo26lkNaS9lCx3DMstVPavTqvuHKVR/f02XtcMTVR4+VXTPGDb1/iNz8Djx9s0hsYVrse55Yn2DTXYMP0kO2zQ37iPX0mGm2ePgL7Tkh836CUQQgNGPs/A0kCOzal3HxVQhr7xEmIMQ2Gkc/ZxYDByK5ow0gV8m0QCYYjwTCyrD2KbFZ2NNKMIs0w1tlr+WHBPYgF3UiwGgu6iSHtD4g7j039/ZfN/d6vnz+frEb//pPLx6bNzPZ/9ncH4P/6lz/Ozk2T6onb/+hd+4+tfvSPHl6pPbV3kl/5Z20uvVCjlEYKjRAaKQKkNCjpo5RBSYVSKtPbEt+zmjPwFSNfMoo0YZQyig31WDOKNVFkmEhgFGtGCUSJYBhLRmlInNbYe7DJU3shNQYLbauNfQmBsjUfrRCu3AwTdZhsSqZbitkpjw0zcOGmEZvnV4nNMr/x6UkOHZ7kuosUF22T7Nq2wp3PJZxbmuSlOyXTE5paMCCUIUYJklQijCFJI1Z6Nc4t+Vx3WZ2X7O5y3+M1Nk4LGrUW1+3W/Pi7lvj1z2ieO9VitadZ7SoWVjzmpppMT9SZnphkohEz34zZfl1E6Cf4XoJSKVLYYMJgL6o4Vpxf8IgTRZwoolgxirP7SDKKJaNIMowko0jYADUSjCLDKLLndRSlRFGm6WP7+jCCYSwYxtDPwL0SS3pRgh4OeMmOFd7/z87zuivONNor9Y8a9evahNs/vXj0d9O5HT/8rQ/wn/svH2eyGarDx86/+8iRM3/w2HPHazSnuPVhC9Zf/KFVLt/WRckUqbQFt9LZ4aOkwVcG31P4nsGPJIEv7JfgC0aBIoot0OPYECWpdUUS50ghSQ1pqkk1Vm9rCnDnUsiT4PsQeoJaKGiEkmZDMdmQTE8KNswkbN/Up9Vc5dP3R9z9zAyrixNcfaFi+2afSy4YkopVbnukQdP3mJ9WtBpDnjkEzx/2uOoCQ3+kuOaSmKt3Gc6eSVlYCRgMG7z5+i73Pj3gwClFsy4Jgwmuukjzi9+3xF3PDfj8XXMsdQzbN6SstD2mJhSTTZ9Ww6dZN9RCTRhoQi/FU1Zqyay10hhswkoLEi1JUkGSCOJEEiWCOJaMYuu8RLEgig1RBKM4JYo1kUMco9g9LLgHGbg7saQdQ38UI+Me1+1Y4ed/aJm3XG9o9yfoDw7WRBj+kUyDfyzU3J+fOfiRdPPF3/+tDXDQ8vxy57sPHD7123v2HKtN1T06CYxo8ZcPSKKR4t2v7fCe1/eYnkjpSo0n00xnWz3sex5+7BF6iqFvmWbkS6JAEMXCfjmxIk4giqV1EJLS9ktSTZpadyE1mVOSuSW5O6OklT2BJwgDSS2UNOuCiYZhqqXZODNifrpLYlb55L2Sj3xplg21GldfKLhws8+OLZrtm1f49IOG5eUal21STE9AqxFz7qjk/EpIsBNGsWB+UjI1BQeOGFY6mrOLNS7ZUeN1L+3yhXtqzLYgDAKUnOKqXYIfeut5fHmev7xvmudP1djYidkwlTDZVLTqikZdUg89wgBCHzzPOkxSgBQOyLEXdqohTQVJSgZ0iFNDlEAcp5YUYk2U38c6sx1zVyazIBMrSXqxoJNIurEmGkZMhh2+681LvOc1Pd5wHbR7TQZRjTgJiAZHan7D/72grjwh/D/F8sy3JsB/5yOfIU31933tgef/64EDJyamaoqRNkghaAufkWhx2yOKB5+rcWZlif/rO/pMTySMwhqdfg1PBfiej+/5BFFK5HsEkZUmUWxT6ZZxhGWijJWSBOIU0tQ6CVrbgEtrk/dwZuC2ALeBq8D3LEBqITRqmlY9YaqVMD81YG56lfv3RvzRHXX2HZlix6TPrk2wbVPAto1w6YUd+kmHh/dMUFc+89OKqRZMtUZMTyYEgYcQ9uIajAKWOzGrfUO7l3B+JeDCTS1uvOw8dzzSZ9+pCRphjK8ChJhk11bFP3rDIi+79Dx/dEeLh5+dYqnnsWEiYaqR0KhJ6jVF6AtCX+L7NlZRisw+tCg32B5WrSmAnqQ6W90yazHRJKkFdxJDlJjyiK0rM0wsqfRjQScRdBMYDhN0MmC23uHHvnOZf/s9PRphQLvbYDgKieKAKLYSqb90fMKr+b9Rn3pJcPDZz3zk4qve+a0H8JWVNkrKH/jtj/zF+8+cOjk71RDEqUGlVu8qIegIj4FssDry+K9/5rPn0Apvf1WP11zbZeNcRLdTZzAKCfyEMPAZRR5hYO29HOBxLIkSu+zGSeZpp2TWHxlzS7ShBLdNUmbMDZ6yCZPAN9QCTb2W0KolTE+M2DzX4Vy7z299zue2R2dYXmly8bzgwg2CrRsCtm0Q7NwyxAtW+fjdHodPNNm9UTLdkkw2U6QccWrBEHoSKcAYQRR7bN/Q4RFSOn3FSsdwbrnO7m01vuM1bf78qwFHz4X4XowQPto0iRPJS3eusP17Otz2eJ+P3TbDY0ebbJ0WzDVTmrWUWiAIfUHgW/nnKWzgLEVRk2GwF5k2WKcltYDPQZ6kVtJZsEOU2lqXKE8eJYJBAt1E0k1gEGnS/ohtc11efd0K73hVn7dcr/FEg5XVGqPYZlftoYhjz0rK9rnZeb//gcte8h1qOOh8qFb/X1NT/r8E4CsrbQLf/ye3feXu9z/z7HMbar5BCUGUGlRCloUU+FLQk5KurNGOPD5+Z427nu5y3WUdvucNfd56Q5vZqZDBMGQwCgh9nyjxCyaIYkWSKOJUkiSSOBUkiSRNBakWpdbWgkKVmDwjapNFKksWBb4mDFLqYUKrPmJuqscgHvDVZwyfuHOSh5+dYjrwuWqrYfOMZONswJZ5ybaNERdtXeHpowM+d+88k8pjflIw0RRMNGLa/ZQvPVijFVh3SBsYjDzefvOILz5ka2LaPc35FY9tG1q885YeD+/tsudAQDNMUFJYkOsGw8hq/X/0uja7N5/n43d1eOD5KY6v1Nk0IZisGRqBpuZpAh88JVCSLEGW5RYyqOtMqmldrnBJBnRLEBCngjjNgJ0Khomgnwh6KTbmiSKa9T7vfOMy3/2GDi/dnbJx2mcwbNLpBRlr+4xinzgnpVgRJTawPXZk3wbpP/j+S698he73Oh9uNP/mQf43CvCV1VXanR4Ivvcrd97zq1+89auz7dVVaoG0JzqxSRQlwRP28CWEErrSp+8rTnZCTj/U4KFnevz51V3e/boBb7p5yMxUQDQKGSWWDeLEI86AnqSKJM0SNmkJcG0y5tZlTVluQypp6zg8TxP4KWEQUw8jWvUBKQO+8rjkT742xbNHJhFxyI5pw+Ypw9yUYn4mYNOcZMt8zIWbOpxY6PI7n2+SjOps2yaYanlMNGGiESP8iM6gyVTLIITAGIgTyUyoSHRCNw7o9lNWOopTC3WuuKjFD3/7Kh/405BjC008FWcXhkeS1BhGkk2zIS+9uMPVF/V47tgpPnFnnTsem+J0u04zVLQCaPqGwDP4Cjxpz7kQ1eo6DRhtL7pUC1Jja0pSbcEdpTZJNEgFgxQGiSFJEnQ8YrY24M2vX+W9r+/yyqtiJus+UdxkpR0yigPixCtZO/EKYMexJIqtxByM2jz71J0btBG/evGl1ydLC6f/MKw1abb+5uYn/o0CvD8YMDnRfMdDDz/6m7fe9tWJTqdNLVDEiSn0rpSWxaXI0uGpwZeCQGnqqaCvAvqJx/lRjb98qMndz/Z5+Zd7/PPv7HL5hR02TCkmGp5lh8QnSUqQpznAtUQbiTFWEpgioMxS/crYINZLCIMEX0V0BjELnZj/8ekaR85P8/ieKYwOmK0LNswZ5iYFsxOK2SmfjbOSTbMJW+f7zE6tcNsTmseen+LqbYLplqTVkEw0NM16hPBHhKGHp+zvNwbSVDIYeQyGMYkWdAeabs+w3PE5uzTBTZf2uPGKVT7+5Rr1ZYUnYwtI45GkAVFsezznpmq8bFePl13c45FXn+bYguSP7pji/GqDk0shgZI0fUGQyzBpA8+CyHOpgmXyxAgSDbEWjFIYJhBpA2kCSYxUI7ZMD7h6u/0+rr88ZaLukSRN2l0L7CQDtl1hvUw2OuBOZPaazR4POh2eePTOWYP3mxfvvnZlNBx87m8Sk39jAN+7dz9bNm1Sf/hHf3rxnr37M3B7JKkpkjg2eSNQwmTgBi8V+MoQJIZaKmgowUAJ+l7IIPVZiurc8dgk9z8/oBmO+MdvabNtNmHHlgE3XdnFE7ZFTAgrV2xW0tZKG+MwNwYhDUpYz9yQgEx47ojk0b0eX3i4xXPHW0RJg5anmK8bZpqG6YaxPviEx8ykx+yUYNNMwpb5AZvnV7j72REf/MIGNk95zE/ARFMx0RS0Ggn1cMT9+xXDyMNvWlAZI4gSSc1TXLt7wEPPTNnCp0HKasdncTXk3OI0P/zWc5xcXOKhJ+fxJSBiNBQAGkWS3sBjulVjaqLJjbv7vPrqPt/z2gX2ntB88eEaD++ts/9wk0R4jEaKfqxQRemDG3hmOQGjSbTBaI0vUiaDiBoxN17XY+fmIdvmYt73phH1QNKs+0RRg3Y3yFZSLyMcVXjt9pBrj6wgLEkEqfZYXe3w5OP3TSwsnL34DW96tzp+7FB64fZdf3sAvnfPHjZtmAseffTR7zc6/a8rK8vUQg9tWANuKW35qUqwEiE1eAn4UuBrQ5gaakrQSAUjDcPUZ5D69NMa3W7Kr358GpPEbJwfcsWFQ2YnE979ugEXboiIY5HpbQkOc5N/BqkRUvCpu+o8faiJ8DyOnW5w6lyDWl0xGQqmmoaJmmaiBq26YLKhmGgpplses1MwN5WwcXbI1g0dUrPKp+6dYNBrcsk2w0RD0WpIWnVNq5bg+xG3PVRj1Jf4G2y3aC5RmnXFm18+4J4nNL2RpDdI6fQ9VrseZ5caXL6zxbtf2eHx5xocW26hpAbiTC/7xKliFNvETG/o0e4FtOoNmvURl28bcsOlQ06cb3P0zCqen/LUYY8/v7OBULZwjfH5g0YDGowhjlK2b0x47+sGzE2kXLrdsHEW0sRnFLVIEp+Vjk8SK+LUy+IgC+gc4DYmklmtj2sAOEZAIki0IDUei4tLzG7Y8V+ffurx/uat2z+yb9+e6NJLL//bAfBTp06ytLSw++TJU7/11FOPyTCQmQ1lSKVl60SaDNyQZCn4RAu8xOrEODX4qdWAoWeopYYkFUTaEKWCkZaMUkmkfWINC70J7nxaY0j57MN2ZANGZ0eexcssMpFXJEqkUiSxh9QevidphbBz3tD0NY1Q0wihEQqadUmrbuXQZEsyPQGzkwnz0yO2zHdJWeF//EWN+57ZwK5ZmG5k7N2QtOoJjXpEszGgXm8QKomSmQbHyoE49hkOBINRSnek6A013YG2LXPNgJPnJnnFFSN+/D3n+LU/9zi+GiKExpgYnRrixCeKJcORLWNtDTyatYBGvUYjbFALY1r1iJdeEhH4MddfkvC+1/fxVJIlgbStt3dFeSbptJYIIQl9BQQMRx5LK56t20nzmCc7ElnGQFnhWg7uHNh5YinJgtbyudX+SWbpPvTQo3IUy9/q9Pr3RqPRs38T2Pz/DPC7v/pZpqZU/dDhg+86sP+gyJk7t51SaQ+bobQJGKkyuzC12jBJwUtt72OSR/RpFtXnkb0W5XMtiLQkMZJUe8Q6JM1sL/dWZCkFeELYTKWCWt1Q8ww1lRL6EHpQCwz1UFAPJI26pFHzLMCbgqmWZmYiYXZqxIaZHls2LPHBL2g+dsdGLphSzLU0E01Fq6FoNqBRT2nVY84saQ6dCakF9oKGvNJPMIw8dm7SbJob0hkGDIYmY3HJatejVa/Rakzxvtef5/CZs/ze57biSQ+DJtUpiTbEiccoUgwiWxTVr0kaQ4966FMPU9pdG2MEfmoTZn6KJ22jhJQ2nZ8Xt9nSFVvCaUEuaOusylLbuCZNJVpLEl3GO0kqnAA/f+zcJyJ7PQe3TTLFqbDfd3akmVvz+ONPie3L3Xdt23bhoY//2acG3/3e73xxAW7wg7PnFn662z7308IMZT2UxKmVJMkYe6c6q+VOBWkmTxINXmr96jRPPmiTPTfFa+XjslLOermiCJRczQ1kmTwbWHlS40mymhbwlcD3jPWNPUEtlNQCST1U1GuKVl3SahgmmylTrYSZiRFz030u3LjEw/tHfPyuLUzXQja2NBMNYcFdlzRrmmYtodUY8fA+eGpvg4vnTaZ7y7T5YKS4/lLDJRcOeOTZKfoj257XG3gZyH0atTr12hTf9aplntp/nof2bAKj0Dq15bCJIYlNUU8yGHk0hoZ6TVELNGHgEwYpoafxvBTfs9lhpXRWxGZdLYRBUOq5Mji3JcQ6d6R0br86VmwObG1BXD6nAHZ+WAIbB3ZOhrYorNfvyePHT//fjXozmJxo/RIQvWgAHw37cjQa/vxtX/j4v15cOBMEvudobmGBnINbGntClEHl7K4Mns4ea9tAq7NlKy2yj1h2zkCus0xcnqwwWUubI7fHAF4mdJTMMpYKp2jLZv/CQFELFfVQ0KgLWnXDRCNlspkw1RoxOzlgy/wKD+0b8PN/sJHjJ6e4aE4z1YCJuqJZVzRr0Kyl1GsxgT+kPbTFYr6y8Ud+s8uyJE4CJuox/UTTz+qs+8OUbl/Srisa3ZBa2GLHpphf/P42//Gjkgf3bMSg0EaTppokTYgSTRQrhpFiEErqI0UtkISBIQwUoafxfev3eyqv9clW1UymCGGqDbpZat9kJGKyWpY0A3yqy3tLRjK7FyXAs8dpJj2TnMSy1TnNgJ2mNrhNEvudnzx5OpicnPjJt77ljX6/3/8PjUbjr53O/2sDvN/vkKTxLz339H3/cnnxeM3zFDr7GCIDVSrtFaukIFE5kA1aWnCnGbh1/lgLtDZFGlkXHi0YbWwXeVYC6h6MAbwsvc3ALfKaciuJvKwVzfckYWAHANVCO5KhHhqaNU2rkTLRiJlsRcxMDNgyv8pDe/v8x4/Mse/4DNtnrMPSqkuaDWnZu25o1FIatZg4jfjjL7eQSuFLgxKlTahNvoT7/KM3rnD7YxHdKKSfAbw3UHR7inboUQtCQn+CSy9I+E//dImf+4jggWc3oo0k1TatHie20GwUaUY1W+4ahoKaLwgDm9kMPFNkbD2lrUyUZVlyAfAy5QlkJILNJVi3JQvkcwBnUwd0kVwjY3eKFTdfnUuAm/I+tSt7WtQNgZSKAweP1u74yt3/6q1vfr1otzs/Mzn510sC/bUBfu70EYzRNx499EQdE+ErSZrXckuQUpBKUJrsXpBKQVqkh3Nw5/LDvqaLWomy/coCXdg6ihzU+Ykf+1xl72ZWZyIpi6myOnILcInvS1u/EQhqoZ150ghTmnUL7olmxNTEgPmpNg/v7fPzH57huWNzbJsWzDYdaVLzaNZs/Uq9llAPI3x/xKmlaXwlUFJntlwZZKapJEkUm6cNSRLTiWtZp4xmMEzpDiX1vqIW+AR+Dd+b5LJtCf/pnyzw738fHnp+A6mWFuCpIU7SjMk1o1BTiyTDQBUSzPfB9zLnSkmbC5BkMgVEdr8Oxq1cIUsKIYrkkM6SQ3m2OE2d13UpOVMH2IX5oB0c5Kt4WuJg2B9x3wOP1nddtONG+f9hx4m/FsCffvw2pBw1Hrj3K8Fw0Mb3rFSQmvLIGDxNLdC1hlTlzy1Tpx7FH1kFdi5DTAF0k8uR/PELfDYpcJJK9kLLwa2kzBolcnkCNR/CQFOvGeqh1c+NesxEI2KqOWBuus1jB4b83IemeebYPFumFPNNzWRd0KpJGjVFoy6o1+zFYVP9EQ/tEfSGATVFdpFZDZ43IaRaECcezZripiu7PPzcBP3YypTBKKU/UHRDRRgoAj/I9PMUl1+g+eUfPM9P/S48sGcDsZbEWmfN0mUP5iiQhIG27O2XdfSeyg8ymVLKOJkR1Hogz5NCJgd4Bvi0cF5Yd+XVWSylHRJLU5O97wIdUq3Lf8MIlpbb/PlffD5461vf3Pjkp77Yf893/r3/9QBfXjjK9OzWqSce/uzveKL/Kk/atKQxIE3G2PkVK63m1s6yZRm7vMq1EuuztgNoXQC7bAp2x0nYpdUWFAmZgTsrMlIFwEFlFYO+B4GP7QQKsgKrMKWeyYtWfcRka8B0q8OTB0f83IemeeroBjZNecw3NJN1aNYEzbqiUVc0CvZOqYUJrcaQu58KWG3XmJ4u0+Q5YHSmTeNUsWFW8fqX9Lj7UW27aCLtgFxS8yU138P3AjyvjpSayy8wvP8Hz/NTv2t4YN8GYu0RZxWAtuzVMnkYy6K6MPAknpcVYUmB8vJzQ/H58oswlyoir0qjTAiNH9q519q5L1beKrjdys7UeZ5qM/bfgU4Sllf7rzpw4Mjvf//3vvtH9h04unrpJTv+1wK81znNsL/wU73Vw99Nep5aGGT1HrmGpmRsR4dZnZ2/Xl7xufxICxlCwd6VQHKcuTOk5xm5QnvLvIKu1N15xaCnsPUZnsH3bWNxLdDUgpR6LaFRi2nWRrQaQ2Ym2zy+f8RP/+4cTx7eyIYpnw2NlMmGycCdsXdNUg8t+9fChEYYkegR3ShEKImfM3ihwUXGXplfHPs0g6EtF4hqTOcgH6b0A8vgYSBtTbyXb0BruGqH4QM/co5/99uaB/ZuJNYeo1QQpTpjcUEt1oS+IfBt76qXxR2esiXCSsrs/GRd+fm9U5hVXJhurDMG7oKEHGJywV3EVaZ87L6W1+rnF0c+3UAbwZETi9QaR777vgefODSK4n//v5TBO6snaE1u2/70g79zdTw4SaMmSHVaiajLe1MGIdpkHSV5UY9xAC6KE5Vq94QJhynKrKRx18yctd2gsogBbIeOyoIpz8s6g7IipLx6sOanmW6OqddGTE/0mWx2eWhPws98cI4nDm9kftJjvp4yWTO0MnDXa9ZOzMFdD1NqQcJEM2LPUcNdjzcJpMRXOgviSo8iX77jVJFoj9e8NObii3ocOl5nvkHZ5zhK6Q8zFvYUnudnlZjWu75yO/zyDy3y739Xc+9z8wzjuk2GJYZGVsMd+liQe/nqpYveVqnSYoVTUjgAFw7IWaNXSpCbKsCLCsVy5V1vZa6w9BoGz86PyeSNUew/fJrbv/rI1f/Pf/jh7YcOnTy2a9e2v3mA6+gIwm/saJ//2n/3OP8OT3Qh9LLgQJbsnfmkReBR2EsGneZyRKxZ0nJ/2BSe9phLssYtyZh7HNzCIFVuC2Y1Lypjbc8QeBrf14S+JgwSakFCLYxo1EbMTPZZ6fa551n45T/ZxNMH55jLwD1VN7TqgmZNFF65dV60Ze/AArwejojSlOGgRk3Zi0wKZ+kn16wiCzQ9q+W9EaPIMIiFA3BNEKQEvofvSztVQPoFwBFwzU7BL//ICr/6pwkP7J3ldHuCYVMylRpaiaGWTRwIfZN5/7mTYgr2zqVKDvDi82Yf2sV5oRCzLyVfVUtwVyWlXd0dsJu1bF3KmtwSNpXVv7085NCp1Xf86V8+mL7ilpf8qyf2nzl63e7Nf7MA764eRanGDYPVp9+VDp6hFk4Qp5rE8bjH2Vu7r5lMb2dSxIJaZEtbnrCpShEX4PkpdlVh/iXYcQ85e5fd+OVwIFsW63s6GzORFuAOgwzcMz0WVga8/48bfO7BeRZ708xPSuZrGbhrVnc3ssCyHkoaockY3GrvWhgBEV97MmAlDpgNqdRjI6orVJra5oeJ0ON11/V5aF9ENw6ZLDrWNcHI1qoHngW4p2xDtpA2QYOByy6Q/No/7/DFhwb80oc3cnJxmsGUx1QgaCWaRgJhbEcvB8oONPLzQFOKIgjO791A3b0whSh6RYrvB8YkpAtsJ37SDvjdPMY4yPMEXpH0SwWJUdz5yCEmNmx618RU84873cHRv1EGj6Ment+4ZOHkXf9i+dxz1tv104w1pQV4mqV088xXzuBZBiwHdKG1C1DnEsSUNtQ4a7uyBGcoEBTp5twFUDnAlcGTFti2t9P2dwZ+SuAn1IKYMIhp1Qd4Xp+7n0r5/S9N8IX7NhDpCTZMCOZqVpZYCzD3yVV2iIy5XfaO8bwR9z8/RT/y2NzIP884g+ermy0lrfmKGy8fkGgL8EEsbNd63rk+0jY49LLZMJm9lw+3MwjmpgTf/doerfA0H/7SgHuen+VsXKdfk0wkhqZnLMi9LA5RJotLTAby/ByKsnZc2tli+bke31GwkCr5iArGtbnbPVTWnueMnq4TnKZOTJZ757EW+J7i4Yef4003XvIvvuftr3ji7d3+gclvYiTcNwT4oHOE7rnP4AXTW5L+vlebZBkhAzyVZoMwJUpLUiXQaZaMcdi7lCQle1fkSK61yZIJFWA71oNrXwkzJk3yrJytGLSj3XRW852BW9lajNCPCYKYmh/RaAwJgj5/cofHr/zhBg4tzOCHNTa1BDNhykRoaIbQzDrs66HNdtayhJCtX0mzlcDKk8VOSi8KCJQikKYIMHH+lPzCzms3osSn7g/ZNDVgtd9iEIts3JqNFXw/zWw+ldmdygK8Erjaysd3vLLH9Vcs8Mt/NORjt82znDTphz5NXzLh2Rqc0INAUTRDeHnSp5hDI4oscJ4AckmlKlZcoFNZgbWpSs1Sm48dhTwRBdgTR6IkGpRSnD3f5rb79716oa+3nF9sH3h23wmuuvSC/68MntKce/OOQfvJDw7bT+EHBmNSUiGLKa+p1igt0bIKcGOqEsXosr4hDx6Lk4BwJIkYkyY5uE3JJln2TboAlwYl7eiJkrnTDOQJgWclSRiMCP0BR88l/N4Xm3zm3lkOn5tmouEzU4PpMKUVmiz1noNbZuCWRVKolmnvMLAXzkRzxKfv9zhwrE4tm8BVtIs5ExeLMQ7G6vA48bhsO7zt+i6/f+ssvYbHRDZ7JIyyuEFpPE9mY+twQO47lGpXhQvnJD/zD/tcvfMkv/uFGQ6fnWQ5qdP3PZpK0MiAHkhjL5zMZSpWv/y85vYhVp+XmU6z1ifPiSkvnSh887WWonEDSVONx8qyDJtESrNGDG0gFYo7H9zLa2+8/IPv+I5b3nJ+qfMNpcrXBbjRQxAhUfvObWb48C5pFvC9EK1TpNS2mVdrVFZiWTK1zBp9BaVLIgpA5+A3LnsbUbBAyQo5bZuKDsyBbe/zUcoW3NY1ydk7xfcS27njJYThiMAb0U0jfuuTAR/+4iZOLU2hVZ2ZScVMYJgMNI2MuRtF+l5mdSqZNMm88wLcgc1ejuKIAydDelHIdJi5OHnSKXcl8iyscWpSYo+JpsfObREqHNKNWgwCQT02jHKAe2mWqFHWx5Z5CfB6watifrLPD7+jz7tec5YPf7HD731qlsVBk4FXo+YpGp6grgxhYiybZ32ynizLG/Is5xomZx25Mu6wQDWWymWIQ2Qui+ckmIM6NeXzJG+nE4qj5zp84d7ndnmht+273vLyo6PhkLBW++sBfNg7h/Qm5+Ok/snu0sO+8hSYFC11UTdcAlrbNjEt0EYX4C4YW+fM7QA7+yNKxhYvkKE0jh1oCmBX5InMhwWlFuBeiqdSAj+mFkQEfkR7GHH/05I/uWOCT907yzBtEQQBs4FgKtA0A0MjNDSCEty1UBKGkjCTJjYxlDkTGcAD32Y+j5wx3PNYgyj2CZtmTYCZ38p0tj13UazwfY/XX9/l41/pse9kk0HNjmYY+YYgAT/W+JFGKWl9aymQQpbDfSjPZ6oliZY0Qo+NUwP+3Xf1ufzCER+7o8WjeyZZGDQZqgDf96h5grqEMB+wlNur0o73KArW3NF6GZOPF2e5jJ4T1Lgjlj8vWVs4bE5Rb5SYksVjYwGfGjCez613Pul/79uv/+Ti0upLFle6C39tBq+1anK4+swNK2e+MpkkhtDXCJkvQRbMabbDmc4GWGqHzUs5UpUlxZEDO5MoLoNXCn9sj45l8iKlrItyT6u7DZ5KLcBVWsgRz4tp92Lue1bwB7dOcMfjkyy3W8h6jVZdMeUbJgJNwzc0AkM9IGNty9z1UFILFLVAUAvIKvR0Bm5N6Fv9rbwR+0/CqXbNJlYyfVtNnJT1M7YPUmQaUxJFHhsnBJdcMOCZ4wn92GeUzfgOIiz4VD5ZN0/U2CDfveUXT25DxqmtD3/v6we86eUrfPWJLh+9bYJH90yw1G3QlgG9wCNQgkAKQont4ZR2lzolyotUiazsdx0GX1O/Ms7kDqFpXPa2F0GqS8mSZADPe0QT7Htg5dIoNnzwE3dNxkl6w03X7bqVrzM86Otr8NHxMPQGvz0ZPtKMGRV/lZUTtkZY5QAuGn1LsK8FuCg63CsAd05IhRcq0sRUCvStLNGZ5tYomdqB+LmbIWMWugl3P+bxpftafO6eSc53mohaDb/lM+HBpG87eeo+meyAeiCyQ2Ylp5nuDgRhzt45wL2EIEioBRHGxHzt8ZBjZ+rMzQh8qTMdK8pGX4ftjGOhpqliMPLZvlHw+uv6fObBiF7sM4gFNd/2qwbZZKlylVKFX42QFZliD1k2Kmjrt9fDEe997YBvu36Jz97b5Yv3Nbj76Rbn2w0GImAQeHi+whN2pIcvJb4wmdQyKIQjDav24TpkXnHBSuYWRQCajjF2Duo0f49sUFMRnBlSoKM19zy2v/k9337Db+85dOpyYPDXA7i8H+G1mZg4SRrWiGPl6GtZ7E+pKwCXY3KkCvbKlwC2d3KdmsBKQOkA2w7otJJEZAD3vJTAi6nVYoajlH2n4OhpxSe+PMmtj05wfqUJfg1vwqehJC3f0PI0dd9Q96HmW3DXfDuT0JaZSucQ2fsmA7kuQB74tj3t0GnNM0dC8P1smTdOil5UUOAGYbZeWpCkdpzzVTtHXLGtx95TDQY1QSMRhLFhpMisPZ2xd+6m5BZkqVUKn71Iuqls+oDPMPKp10d835tHvP2mVW5/rMeffaXB0dM19p5qEK2GJKHH0POQyk71VYCX3edMXkgXyuB/za1wU0pQa0pQ64yZC3mCLbSzgM5bELPHpHl0DrFmZWnI57/yFJNTra8L4RcE+MHDh8SeI/1/8bV7PjCXjlq8fHfMy3aP8AJbtKRjVQLeOOxtJMZhcIMo3jOFFHHB7VzyFUYwjuazSQ0rSXS2y0NKGNpJqkmacnYJvnynx6GTde56uM6plTqHTjchDFENj5qnaHqGpqeti+Dbwfk1345rsyDOD5kdKgM4mebOwO2nhL5lb3thRRxZgD1HG/iyag8WEoWyHrxwFHInRWd9jYnPFdsHXLKhz7OHE/qJTysWjDwIEjsTUDkAl1IgpKwwOYzbb6IIZvM+yjj1GfkBE/WIf/TGEa+8usOplQ5feyTg8ImQ2x9vcHqpRjrw0dIjDhRCymzMte3Kl2QZTyhky3ogrwSauFnqXOrmGlWPHQ6oI9urKLwUqVJefsWIl18yYPvWe+d+4H0/8S/e/y8PfKA5ccm64dsLAvzX/vCrxEny3Z/9fNzsjTawc0vEVReNePXLRlyxI2bLjObiHTHKCNJIopEFuxsH8KUUyYDtsHjO1tVPZpyIvWTtQoqoFD9MiVPD4ROCZw4rvvxwg2ePBDx/pE5nFDKKQvAD1IRPqAQNBQ1PU3d84NDL6zTysllbFx5msiQIFEEgswvAlNrbT21m0bc6vxbEGB1xblkyMiGeJwmkwXNstjECL0Cemmq/Y5T4CDzmZyKkGtKLffqesE5HXBaMeUpXMpAyN6kB8mFHCIyWJZM7g5H8VBXjJ/qjgE3TERdujHnpRSMG0YB/fKTNs0cDvvxQjWeO1Dh8vEacKAgVRioQklQ62aAiSbGOVqmI81Jq2Hvt3I8dGVN7ImXXjpitMwmX7Yx4zUtHXHVRzM5NGq2PNBvm898tBt4H/koM/ocfv5VTCx31sdufEYuDSaI04qnDMc8cSrj9oZhJP+HCbTFXXRbxxutHvO7aCIzG96DeNJnOlqAFSWwBnweSFQZ3L3ljAU02v8T3DAgb1MaRoT+0jH70pORP7wjpx4onn69x8ETIYi9glAbY5cVHTSgCKagraChDTWHHmams8EhZ1g58YZMeLrh9SZDJkjCAMCBzTWzK3Pc0gZ9kGdGYei3i/ErKlx9o0e6GTE8KvMyLz4u+xAsxm3YCQi0ZjRRzs4o33TTk9kcHHG83GfjSyhQP/MTgx7lnnXnsMrV2Ie6sE1n8Dm28SslEmkqCVJF6isS3Yx/i2LdWqh/TDGJeeVXCjZePeOerh+w/IXlqj88gUnzsyw2OnPVBSPoDjzRSefkmxssBPmYZuenbCsABoxGpQWiDyYBdb6b4vkYYzeuuG/HG64dceWnM9m0Jk55grgXGeMRJSBwH9NtHxIDXqWP7b022737LNwdwY2Dz3MRvBWl8jQlC0B7oCK0TFvo+C6nmyHLKA8+mfPLLCfMzCUYbrtsd8d43DIteu/lJzbVXRTRr9svEiCIHtvY7F8VwnnZf8NTTHksdSb0meXiPz+fvrTGMFcNYceZsgBYesfHRwgfPQ4QenpQESlCThloG7FAZQmVsDbiXeb5eydxB3pdZgFtlPZqiYO/A1wRBXqCVFuwdBDFKRdz5hOIzD7ZQgWfttor+fmEGz73wNM0dD8Vw6PP2mwd87v4OH/vaJL2kRjPT4X6uw+M8KWOKbiEhZAEw+6uko/UdgOtstINnmdz3FInn4SWpBbpKUcoO0p+uJdx8acJNl8YYMeLdr+0zjO04t7+8N+SRPQH1ULDYUTz1bECnLzOVJHhBUV7sPGFbA6+9NmZuKrVND6nmvW8Ycu0lMUbD/LRmZgoUEvDQqWQ4tBWYSerbkRkj75r6/MxvCcy60/TXAPzUuWW2bJie+I+/8ZlLz3UThQAhPYwQIDyQifXCtWakU861NedW7dCY/ccbfP5OeyWa1DA5rbnhmohW3dYBr5uedC/1zHVY7SkefSag01ZIT9qZKMazzCQ87FxgD6SHlBJfCgtmaQilJpAWCIGCQJUz+izIRdnw4NlGgLzx2AW3ZfisrNbPGTx1joTQizEm4tRiQDSqEU5KgiztrbKqvEoWU1CSl2OdFt3pWhHFPtMtxQVzEYEYMkhCBomg7tmxCnkNSZ7QUtItb5XF7yqsXCPQWpfZU62z5pNSGiVJmuUNVDaXPSFOUlRscwmeSpEyYduczlYMzeUXDonMAOlp2m3Bo894rPbtDMpxQb7GQsiKsZo1zY3XxExOa0xiV/a6sufOylwPnUgirQrpm2qV7aukMFoQBh3Vqp27dHrb904Yc74jxIavD/Az55ZYWmp/4J7HD772+GIf31coA2kOMDwbAMgxzYQhMZp2vgQpTWfVcObOpvMnrgdwV79lX44Q6HzLBbKaU6HKIEfKzMrKQZ2lnSXZxq25b+zce1knvSLbeo8C3LatSxFk4A48ihJTy+AZi3uaIMuO+n5MGMacWNT80e1N8AI7Y1E6CZ4K+KpElrNrPiTUgs1+eVHs8743Dfjs3QOeP9eil/o0Erspra0CNGUnjspzAm6wl5cu5lJIOgVe+aGLWhjPU/ipnZfiZ0BXskya2brx7LHQ2eCgFE8YhEmZa2j+3is0iDSTmYDI989Y5zsvaowEaEUae+TzWJJYEhuZ9X46cZwp3bv8HiHw5RIifvq10eDwBzDJj35DBv+DP/saSsrg3OklWp79clJhrZxY5HO2VVZBpktNVZ7N8rEypL4D7nXxnbNbDvBq8CKkLFrQlABf2LRyKGy1oC/tc0+S1VRk3eN5IZGHMweFbGe2squ+BLgsZEsYmKKlLQi0Mzgnwc/YO/BipIw4dlaw0KkhPI9QUpEn0v2znK/blQ4V4GVOR5T4zE6M2L5pwN6zIwapxzCFMBX4qcFPMh2eUDhLZQpdVToV8tjOOl15V5VwpJHGSzWpkigv375cZcVqdlsZJctDSI3KQC7y342dkiWkKVyvHOi5A7YewMvkXhmXFbYyVU+/ALkzp8UYO29luLiK7N1qd+/9RgC/+6mTCCFodwfUPYMRZQVYYgQpuXcp0KjSBipKJl0gfyNZQtaV4xTWC4GkTBHbqVTgC4MvMtBmEiB/XLyWkX1ZCkrRYBsoYcFeAbe090EO9Dz4zMCdd/94upAovmf1aRDEJMR88f465xbq+JOKwK3hcB0UxhSpm7ouyovLpM9wZCfYvvWWHvc/PaST1Oh7HvVEE2XpdCXLgqi84EwITdk5lAeaovj+rHWYzVQxkCr7Oz0tSJTAS2W2i52t5UkyoJfJNF0k2KTUTuIteyxdcGc2b7FXzAt8/06hHYUJkb+29tBrnkuk7OPp59aFWgXgH//z25maqL3it/703usXz6YEEhCmMOp9ozNf2xbNlAZ9aebnV983mtRSCJI8WSBA5ffC4EFhtaksZWznm5QaV+XAzgd6ZvLEBXYxB0Vh+xHXA3gecOa628tlicn0drWWPPBjAj/ibFvz+ME6eAFeJk88p0Apz/aJMYTbL8+puitqoGXhicexz3UXj5idGtBeadBPFA0FfmL/FpXaAUoqdgGOBXnxi+RYpabI+iazwjilSbXA14JUSVKlSZUgyUDuFq/l5RAyB7kD6rxkQqAzkJOVNOeZ6DJpVynGqNSvOGzuXJhrgE6ZSS9kXmpIxdT1wfTbX3Fk7zvv23nZG9cH+Eo/YZCM/p5CX2uSCN/zs19WTo/Kt8CovJZXiVEStmatIhGZfeKaSflVnmfFSnCYgsHHSzi9vDYiqwHPSz1tc3HeqWJliSq6V0pg5823lr0zze1R6O3cErSMXYLbL6oTYwQxX7g35P5nW8jQI5DCzt8uKgjd+SxuHXX5pRZZ4ILFsyBKKwZDn5uuHPC2V3b5vS+0iNKQXiqppYZRQrZyuVV/OpNzeuyCeiEmB+3JrBdSFOBOlUQpbRldymy0hHZKkd0aIFOCvJJtzpk8X6QdmSrWkrk7cq+sYXFB7DC825+b/UtJkqKUuLYp239Pi/i+dRncxPvBa73pU1+44x8ePXcObaymzJeYSvEMFFcXkFUEZj/noNpQuV6zP9Zh8AzcOQCkAwpJWfPgjjbImdtuQZI/J2NwijasCotn3TC+qoLbjlMYY+6sZzPI2tt8L284SJwjJiLmz742QWpCVJG9dAPMsq8xdzYqGpyxdj0t7XSoNA82PQQ+731dnz/+4ohVHTNIawxSgZ9QsLiUBpmIoujM2oXj66ektCaFA3JB6mWjG1QGcs+gtJUrdsyerWC02WNZlCaXFqVb3VmWMRdNKQXQS6myFuAVGlwD4PEegfEZlIGv6Q2OsOfYxf9w4/Z33fXknmO3X3v59irA9xxVTE2Iix/Zo3cdPzNgqhbiSbNu9F8C3qwB/je6CeEwuSNPCqCPlWcWWnxMc+agd2d7KCVKLZ5V3FWG3WTA9pQonZTCDrQd97Yx2WTMXQaYnsPeoR/x+EHJgdM1jPJRUhJIjTdep+EI8PHzmB9Fp5MWjl9tQR4nPru2xFxxUY8H99eJVcAgEdQk+KnBS7LNBPLZ60mmw5FWLlR+pXBYXDjSyGkwyGZCekoXMyRVJv1KcOe1QCYrE8iZnGL1EA64EfnErPXZe72bW3hXYfTxx9iVPk09QtXmornurvkNg4vTJLo9f78A+KlTbdrNiMFKzKQvaPhlzfV6V5oL7PL6/Hofv/wJt9xSjAPdAbcqar5L262ULMJ2z4sS3DbIFEW3uFeAW1YA7g7/sd32FMAuspUFc6cEnk3s2K6gGEPMn3+twdJSHRF61nd3L8LxGpSSnCoWYd5869ZxF960tjuSzc1I3vP6Lo8fnGCU1uirgHpqtXhezprvf1SUsqIzT9yNhpxscv47s3mP7lQqe0iUzlckUzyWxbbqmQaX+X5HuTSRZXPEOIOPNa2U6b71reO1DRTChVGpDAQkWoJuUk9BR8votCwuLAD+4T/+LEpKzi2uMtuUjp+5Ftzu8/E6kq93y/3/Up6M3buAdlm8Ml6sZGzpMrgSDovnckWivCrAAy8bAOTnWwdmGU7P4BepeJ09TiuHp2znzvPH4JN3tBjJACVVlr2sXojjGcw1y7JzHqs6PNPiqSJJPcLU4z1vHPIHt/Z5+nCdWPn0pSRIdeYeCWTqzIQUxraXCXdN1dnvqu5b5DJ5qsErLEQ72lplJQEqNeWwzmIuiygu6GRMj9vv0y2Ww2HyHJjfeL0v6paK/6uGqW5KXKeK4cnDnD//57h2oQdw8PApdu3c0vjpn/+tnWfPLRL69gMVDG3W/sPjH29NQDn+XIw/Xqu9X1iiiAI44+OQpcPYeZCZT23yvHyT10x7qzFw5+l7P29M1nZmSNEilvd0JtkRo/yIA6c8ulEAysvkiRkrjx2/cKsnpDrQaMwLz7pxysSPR9MXXLp1yNMHIlIdMtABtdTWbHuZBlfCZJt9Cce90ORBZsnkpa+cd7h7xWBT+1o+MNXTZB1EBqnLCQH5dK007+4vDIAyuCwCz7HvO0fLmoaJisu0FlhVp6V6LsGuRiLVTE3M7bzulT/a6HV+sN+c2GYBfvTEGRaXV9+4edPcTz346DMEniz+UZNdPuOSpPjHBWuXjfVAnf2f+57A5nNcIJTALvsYlcOKqjJUMwc5ZY20ckBdPM6SPIrMC7fgtgAuhwL5rjxx2VtlfZ1BxHJX8//+RYulQQ0R+laeSFNZVcrBOd9AtBU1RyLLmbkMbh2VJPGYaHj82Hd0+erjEyyNAiLpMZCSIOuhLEc+ZAzu1tMLXZTRGnQGbo1BjjkrImNwUwTpOdiVFBmDW0mUFi4KhUwpdXgpbUuZkgeeJQdXzs3YKvfCAC8Jt1wBReHqYUbUm7M/tXx+z31JPPgsZAz+2BPPUwsDDh46htEJfi0EXfq0rv1XvXK+wW3sC64Odhxjbcq0tp2TNy5RqoNpCmBLgVTl+DHlgNqTEi+TJF4B8Fxz6yKo9D1dgNv38vqLKnv7KiYIIj7xNZ/nDtVB+kgpCfPSWMfaLPaIz/7IF6wmpGTzsru8BHmiZbbJk89Vu/q845Ud/uDWGtoLGciAUIoi6aOkIHYCunEmFy6Tj2UKC6miQBm7KmgjLLjzKWHZMNVyrEQ5i6acTGv7OIWsypPCWalgoHz+zdzM2IM1DeuATiOWF0+A8EgTuzGEB9Cs+9RqAY26Ry2w/YRa5skIkV0dYxLlheIDF9iOW2JfzgvzzZqBMhXPuAgsRcnmBUN+I4DLEuBFoicHuLFzsjMp4qvSLfGd4UCl5rbs7Xt2atVKW/OXd7ZYbIdQy9wT4QRjLyBREKLK5MWXtI5t504lSHM3xWN6QvHtr+3zufuHLPVCIuUxSGVmT4rMvRFlM7YcV6yWvfOXdMHm+TgHgZc7Kyp7nA1R1dKOvs7Puwtyke2cV0jJTJ7Y1dnV42JMrogqwIVBmBdGuxEZ6FzHbiyWSBJFkgZoUyu6x7z9Bw4yOzu94777H/nx9sp5WnXPxt66PPnjDcEvxN4F5h33wDD2ZTtArx5ifYmSJ04qwK7O/nY7XOxwd6rgznc2yJlbOcy9hsHzcRPlyAlP2czlkaOC/cdqaEKE9Irm3LJ60I0fhONqlH+8m0comVw48kQUTkbRbpZ6YDwu2x6xa/OQpb11TBpYFk+tTPEcF6dkT7fQK68Tkg5AMjY3pU+uZTmnxI1tVDbzXWdz34uElizJqAC3FtkslVyTizGpIsbwYIon425qKVtyt8NJKI6tfHEScOLUIvXpK3981+5bnjx+7NBRTwpDEkebQl+8KR62qYcecWJIhS1plOMSxbwwcRdAH9NU47M0ckC7qezKa04vY+lMCCfYLAFtGZxsFLDrg7tHtqW1csHtgDzbr97PSkNz9lbZc8+LUSrmiw+2OLBYh6CUJ75jXVYuWNaOi1jDSgV7ugFnntGsavEo8rhoLuKtN/V55PkGaJ8ktVrcT7PsblqVSiVzusFSBnJjHIniyBWZPZbZqiLzQ2SbGphi3HKqss0OhCi1eCaNyou8vOhwmBxRJhHdEdjr9kpQfeBmN8s5jxAninPn2mzZad40HI42jaL0qJekdn+UONHFltsyK1oXBbjLf/kbSm83kMzQ/IL2YH4SqGrtUqaIogx0HNgFmyvhNOE64M7mE5bbdrAW2F45IKgY8ebpDOSJlScqpt6IeHCf4rN3NhkMA2h4eFLgi6o0Gf/87t+8LsChqr/HLEPXF48Tj8mWxztfM+TW+/s8vC/ANH0GaUggKC40Vfz+Ugc7a2kBcjdZYoPP7AJTls1TafW4dlg7D+p1FlxKLRz9LZxAtxpDlbq7jAvsa2IM6GugVAW4QwzuJLS87Nhgyy18r0xGecurIxLts7AcsdxJmWypUsMVgK6OUnPdEncZGWfwgq3XAHxcolQnmpbBpShAU8zLU87uDUpktSkluEuQ52WzBs8rRyh72SZMnqoC3S/Y2h5K2QAzCCLiKOXWBxo8f7wBvo+QKgNVNjfECS6FrH6p465RQRQ5a+a1PU4mU5t82z5ZeOJp6hFFHpdfmPDmW3o8dbTOKAlIpc9AK4KUsc+Se+GMMbi9N2OfBZVfbBqtRDYOBIwUGGVX8lyPFyuqBKmdWYa6XDXkOMDH4xLGgP9XyXQ6qXwX5FIY5qdTZiZi6kGENBHeZz77RTxPsdruUK/ZwvP8yl+TzPl69L2OY1L8W+6XvA5zV0GdM7YbYJY7EJTSxLEKC8bOAV5OTi0kSsbclrFNwdRecV8+9rPg0lMxYRDx7DHB7fc36A8CaPpIkVcO4tiD62Qxnb/T5aS8FiWP1quD5McSPk4BVhT7tFoRb755xOfuHvLU4RC8gKGWBJkWV9pusOtKA5FSyAM7QcdxCFQJEE9RShdp2TxfVfIgP5et+T5MSgqEdt2U7DvXJbOP5zjWAHwM9JWzNY74dWLBPEZEQGp89j7/FEeOHMKkKV4SraITCTqiFshq1uibtHDWZe78nyg+uKhcweuyuHTA7mruAuRWb7vZTKWyCsOsotC2c2WPPXc++Bi4s8PPp9BmBf6eSuzhxfh+TGJSvnBfnXuerUPNA2kbmn2nhLdSGuse7pMXYKLqPHThNJVbRyXVsgL00dDn1Vf1eesr+jx3rEaS+BihGAgPP6X4TCItWbz8COszuTvEXqmcuS2b2+cCqUWhwwu/P2f0fLXNGLwY2jkG7krAWQF56aqsh6NvxpEGe95iLemeG2BIAIM3GNkCnTgu0+R/nZtw/m+cscvH9ol0Ae60dbk7C1SAXZEqbpreOdQYuJVzeOUmqDmgfQfUuXNiHRN7r1RM4Mc8eVTyya+1gACkjxCq6CJS2UaqbtbVdYRyWIninDiCzrG7SuZ2NLgRdkcMlY1+KPaJ9zDG472vG/DlB4Y8eshOEoi1op+KrOArA12aA8epAynhALkFrKgAPX9XZaDXMtvPJw+Kc+0tMzYX9r74DrUzsFM6F38lAVZKkvJ8VVn7rwrF/G+o1+x3bozBG0W2CyQtAkzxjfPua0BdPi+ZW5TAzl/DmbI6prtLqSKyZEFpPeUAL+bkuSDPWtPKzabszg7lAPwS3BXWdu7zxtpcqiiV4PsJcZpw18N1njlYB98HaYPLQBhncqwbWIk1gZVY5ySWNl0OdOG4GlS1eNbKplXmqKQeo8jnyl1DXn2DZfFBall8JAKGGrxUlIFfmtuFFlClRLEfwJWhrnWpJBhlkEagDDb7aQTCCIwAaUQpVZygsmTv7HvV7oXvzHVfJw9iz9KYFv+rCwkCz86w0drgzU0HSCEYjqDTzQZxVeusKLM24+AudsqpuifZzxe10JUvXZT21ZhjUt0jZqz+RFDsvVPsXpw331YaHsqtS5QaA7czFL9wT1SK8hyAZxIl8GIOnBF89NYWo9iHhp/JE4rWNOXuElxcuGX8UdEr69CNC3RXpribA2iznhb3aIaS731zny/c02TfKXvxpVrRT5WtMkyz5A/C6u80G8tRwLl85EoVyKzh7IKTmUaX2mCk/Y6MFBbg2omVcibXbiy1zsrmANr16F0SXIultcy6dkWyt1TDckchpQcY1J997L9sbDb8/3L4yInLokhXwFhho2xEWEU2iDGd7LynpON2SJHVkFQPlS99UmRlmCKbh+e4ImNHPjLB9biLe6/U3dZBqYLb3aunLKbKdn/w4qKZwfciUhnxB59v8Me3T0EYgqqhlEdDGerKZOMoKBqcfac1rsykuokoSTkZlkqAWsYSpe2YX7RCkjX+lr2QShqE0VywKeLUouSxZwISYScPaKEQwpbSrhf3VBmxXK2F+9w4oiav88CVL87mU1TLDtzOrnUP979x3KRiSCtj92vilPKDaOf1chUSdPuGTduu2LTj4pd9xfvjLx2eWlpYfMuRkz2mWoFz5Y1lm8b0yPqaSVR+vmB553GZAHDdk7EaFJe1K3XgpqK9ZQGGUpIoR3urYqcHZyMqZcYkSV4pmLN3jO/F7D8t+fhXG9n8FcveRed+/vsFlfHC0vm73UBTuE8KAI2BQ7u1IeVcQRt4ZllNI9GpIlWZFk89vuv1fT5zV4M9J32QEUZIhqmPR1Yvkp/rfP5wmid+cqg60ikvzcAOCMk/m8xtOAPSWNmS625p7O8wOvPHdRagVlbnKmmuK00qF6LD0utkOMnOtVvPkv/bngebZrpcvv30W+bm+lNev53Q6yQMR5qJprFM6zgZ62kh4aC7upQ4SZ0KY7jR9JgscXWsrD52AW6N+1x/O49zIOfVbrkGd8BtJ7Lq7N7agUppVO53qwQlE1QmT1KV8Pn7muw5UGpvKaT1vosOmhdY6Rh/vvYLMpXH1QbkiifuTKTytLC1KbJM4Uexx+UXj3j7K3oc+nhIlCoQHqnwGAiBl2b2XU4+5I6K602YMgTO9JIxAmXKgiOT1SUpl02FKVP8ArS0wNe5THF8cBfsLpDXgL0C7LH7Mbmic7zl51wayEoWaoGdhovx8LbNKQKjWGhKfCULfzkH4HpsLZzfWnmtwviuHTT+B65NBKzf3FBl7fx5zto52HPmLoCuXCYvdbfKg8h8ixOp8WQ5NF+pFN+POXxG8T8/PcFQ+uQTtMqu+WwFcWugXT1ZOVkvfHNGXpPvMpfXVpQpe1eDi0p9SpqNLwvThB99V4+/uKvBodMeqBi0Ryx8BkKg0tLRkG6wOQby3Js3gFdpMhdIY9PzBpOxdu6J6wqbm+z3aCkQplw91poJGfAdABdgX4OrcUWw9n0hytR9LAyrXY8zSw36SRNvsukRDTwmmx6e5+x268iLrwfkMpZygsn8v8X5w/LHMr/i1gG3A2wxxtp5IqUKbl1KFFllcK/ib2dgrvjdziEti/teRCfS/N7nJjh1PgTlZdagzOSJqfjexWNnmayyVDXRtS7QcTVp3njg9mjmKfxyTHXRDCEVaeKxdX7ED76jyy9/NKAd24DAGMlIK2sbpvnnMHaKUyFMSpCX/2/fUdlVmM1vKu9l6fhIaUoGN853l1mGpmDwFwg4HXmic0y5GKoQZpU3xqWNzn5vqgXdWLHctvGIlw++qYUKqVTxp46DNP/nx5eP/LXiwxWPnRqT/MPItWAYZ+4c2CVrl1NaC/bOCu5LQDtM7umM0XUhTawc0Y5UyRk7Ke49FeOFMZ/6QsgH/3yCkfatPBGqkCdFU/GYJVbR3YUkc2G9PsSrBWxORpMyYLIpe2P3QNJOKW3mqiTao+Yl/PC7e+w/FvDhz1stDopUSIbaBpwypWDwsgAr/7LK1L1rV1pQl5LFmIzNRVkoZknHlrqaSuLHypiiLj3Dg3ZJroIZUcXPC7H2eqDPfy61z6MIohjiBLxciuTdL27QMf4LS/6ugrz4gM4vW2sFra1NWFuYY8YkinGCzGyLbnfLQOW6DtqRKjmYHSaXZXVgobuLeztrcHkF/uKrDVZGObgtwH1ptbcnqvKksurksm6dL8Q9pa7WzkGeW4WVqr7xrRf1WJ24lCit0NojST0mg5R3vaHPZ+5rsNRVIGPQihirx8erC6uX3Aszuc0DlUmhvD4lDzZNxuIFoDOfXBvGGNt+nwhbxCfIpAyUF9w6WFpjCa6nycdWyTi1O0UYjNXiRaWekm4ZzrpgdmE+fiXJcdDLtWBfE5C5bU8FYJwREdJUtHdppa0NKvPhNCW400qAmQeZ+T43nsPefiPhC3fWePiZOtrR3rapIZcn1XqTojXLYW/XZnWt8PVJPGPPwu4qJcp4M4Rxg04jUab0xZPUx9MJN14V8baX9/mjLwagIhASIwQj7aGEsFuQ5IGmKEE9Lldya9AYa9fmzK5kKaOMdArFpJ3xUmFuYy9442BA5ySWs7XJ3ystzRdk7vXk8djj/JZPCdAavDg2JE5X9poAkvX/sfW00bhMGQd2cRFIU0qVMcYWYoy9RRXYpYuSPVcGLxsxJmXmmEiT6WpHkuSOiXQkirTuSejHHDou+egXWpztBna/a2kHvStBuWPDWLywRne7vvM67D1+qyR6KJl9zVaL+Z5Hla57u3+Ovbfbn2xspnzf23rc90zIoXMSRAwoNJKhkM4mUhZUOahF5SosZVLx/0U2M/seXDYX9nEO5ly25CuxfS+f/S4yvZ09znszRfmYF2BzyD/zesAuL9Hc1MgnmXllN4xNWoiv84WsAfkY0N3HLqAROEtkVXfnS1dx4ov6aoe5VQ74MZAXM7LHH6eF9s5Z3MvHAasEJVO8zBYMgphRqvmdT0xwz+N1a6RKz2pvKW3XjijnrxSfNV9Z3It5/EIfP1dj4K5mMEvXotzj3S2fdctobbuZzh2VVJNID5V4vPqlET/03g4//zsBo0TaDJSWJJmrIrVwPpsFeWWEg7EtaTifzz4XTmyQddcbMDJrjJGiuACKoLO46E2lXkVk7O0GlGs88XHiHCOMKkxLSSUEdga6Nnb8hcle9LLpq8L5T14Q5FSZuvhQY/f2Z8ya4veSBd3BPuuwt7P/vFxPnkhTdHvbbbO1I1Gcsb+57s5mXBfBpUzwg4SvPerzmXsajCIf6l6hvQv2LgJbKsd63r77Bdhj/abjStknZclnFdxgVF5lWK0VT7VEaitVcqAniUe9kfCuVw+4454BX35UWdsQCUISC48BjpTMvXFHrtjdZqqa3B5OXYrMPqcElf19+XOTSZMc6Pn3a4RAF9sPZoGndLA0hp9SFhsnn1KeM7HmdJZyS+u8xkbg2U4Xu01e4K+fEn1BJv96IM9YoWgCYH0WF67edr1l6TgWuf4t9lO3zwvtXUxCLYHtqTGgqxLcXgbuwI9Z7Rm+cF+DfWdqVpoIWxIrcu0tcCZImTXgLi7W4u8XDtC/wXJYnGdRWHLjKewC3GuGA5U1KlIqpE6R2iMeeezeFPO2V/Z4eE9AO8rSr9rq8QhFvg+EJPPGK2W0JY0ZbHKnuCCzTYBV1tJWsnkuVbKEj8hqyAugi+J71ziruikZfhzo4/HLOElUSsaccgIMJKkmSbSdfT7ZygamNDVGGJKUotjHLcBxmXucxQumfgH9nXuw+bbTpcVWTZaUAWYJ7BLcuQ9eBpeyGMxuKoxdCSjzRI7rokjbKa9J+cMv1vngp1sY4Vnfu8LelNpbrvO5nb+vOC8iZ8YXoBqHvSuVfIyBumDyta1s5U4HGp1KtLS+uJKaOPWRSvPD7+xz8LTPBz/jESclyDWCkZAonQ+SyLWCA/IC1BkKsYtAAQWRT1ugBLqwQJb5fyZyqVKOmMitQpOB3TjgLlfBtTY1zgXgntJ8lFHRLKINaWoYjBLavYSwnuBtmunTUAM6izHdgccwErbhWJfL5hrmzgMC57V1gU01y1dhcDeodF7LPe6c2cuZeJn3PeaYyBzcakyejO1Zr7K9Z6wGj/GDmINnJZ+5q0mv50NdrWXvoubbWV1EmeCpSLKxx/CNkzwlgzugL47q0Het83oPB+jS2dJDWi0upUccp7SaCe98TZ9b761z8EyWVLADqkmFYGDXGvsZdQZuU4LdFKDO3BKy5E+x4OROSp66t+ytMrCW8qQK9FzSSQdH1eSYQxL5bEy3IKyyMpriHGoDOjVEiWapnXJmKSWVKd7qUDBKrKWWgzWXFdXdGkpGyv/59QID8QIfWuaaS4wzoKnIE1HMvivdkwLcOXMLdzB77pzoynYb0pElUmaOScbknpcwijV3PNTkq0/U7XBw6VuAj7F3XuRla3ScYBg3iBpj8nWW1K8L8nGgG5eVsuxhsXu03YrE6m5dyhQtSYVEpRItFPHI4w3XRrzhxgEnvuQz0jL7UqXd3hGPoQCpnW2rhCgM7FzTqgJaJZiUzECep/iFKMne2O/UiCzwrAC9zKjqQraWs3Js8OlkXSvBpigXGgeUZbBuKkw+PS3YvFniPXL8otWkbW5NFht/35NOds4BNOOPx1iLcWBTAnld9i7AjLN85aB3GLsAdg70smy06pxU9bcq0u+p8zhBStupI4OEux8N+JWPTJIar3ROpEIIafcBEmVavsrgruOzPnt/E0lMl4DWKSN1GyAyb5x86lVWjCVKR6XQ5NJ640J7JIkmCFJ++vs77DvpcfcjEh2IDLL2D4i1YpCDJ/9ABVLX0eSFF56ttvnnzQLKXIeL7ALQlKMkjIsHSiAb4eJGFHKkJM48SK/KlPVuQkLoSy7b2eTNN9duveHGqVV149U7e8P26qEkVT8kRYKn1g7lqXyhjlauethO5V8ejKm1BVNukVSZes/twDIVr8arA52AsiioegFwu1LFqyR0bK/lyWXBr3x0kvueaNpNeaRtR0P6eFJQlxBKsk2uzNra7cqRNUAXQ3Kqw4jymnepxhqmnfNWPhfORW/WntecDJw5gGJc6rnvGZibTQg9w8NPB6wOnNqCLMzMp4iXFYcU2lesQdM3syy5cwMZc4ucXa1N+bNr4j1T/Tnj/ryzuuH+HijKZTfMtzh7bvh99953cp83P20/t06xuwOK6tKwhsQLxs7Zyt2qosrUbopWQDGzrpAmwnVR3G0xqtJErqO58x0G1j2UG1hmpbDZ4zRI+ejnJvnsnU1MTYFQFp3CQ0hZ6bcs+xu/Tse8yz7jOWPnBLovjxtU44Cwj6vd9uMdPjqbH2gy5jZGlzUqQiK1IhUecpDyrtcOeP6wzwc+5BGFifMlCoz2GZF1V+X59dSa2AbjgNLiwpBlN7XJsVgGmzkjY9nc2oPlgpB//0bkbpOzwqf2KpMm8+WN8zFNld1zrI1PWMv3jFppxwxHduKst21jlLWspax27ElyvcZ8WXAlS6VTu/iyx8chuyA3YxLFdU4M4yN4K2DP/W6RAdzR3hUGl6njpLjgTpFO7cmXHwn5yJeaDNNsCr7IrcEsaylMRXuvm5p3gc54YF29/0bsZ7LgLvee12Q0MWtKaI10MpvScVaEsoVZMivOkppUe4S+5vvf2uOBpwK+/IS1C3NvHCnQxmOkbSVpUUQybh1mSC2klBAocmnigDxvenA0d/4zeZWhLbozFZIw2PeNK2OyB2WM4EgXUwJTOKtAkmhGcYJU9tx5W+ZW8T1YWpWstoOK/i49SbPOa2MgxgH6OMjz1Px6zkkOcNcedMEtyp291Bodrqse+Dh7y7QMML2Y/gh+6fcnOXwqxHjlbskV7Z1LpAqwxwDNOmAuIFxERc6Stz7Ix+fOVDOabvGVq8fX1qZomVUcSpfFFSLVCOEhI81FW2P+wz9t88BPhnSH2R+jZfG5UjyGOWjy4m5dgtxIQGegNhQOi8oCSiMptk01ItfhxknyODmD/GcqGBLlBQBrSJPs/arJ4TB9cfYNZ7vQjbPd+vae2IpUksFgxGDUoR5SbgXnfD8Vtl7jlKz/3G0GcGdGlxLFGb27rkTRjg/u9CVmbF4wd8U1cXbnzTxvz4tJUvjNT7V4Ym/Net4yZ+7SOfFFVZYoUWVt4YJ9jLmzyAl36OZ6fL2Gyceck7IBgrKYydhipjXVhsIyeBF0amlBnkq0yI40kypac91lMT/2nW3++yemiNKMxaGIClMUI51r8SzX7oC8kCjCyXIKu0GvcdlcgtAlc8sCT9k4wHVjvDEXxUnl5+1p+fvGYe1SqlgsBYHkpotmmJiasFuU3/zKd1GrNzl66DmeeORWlPJLvnHAnUey+Vhe9wrDeZ4z9bgsWeugVAFdAt6MyZTq/owle6elLneTOpUjCyxrKV95KOTDn2rRHvjWA8w8b7ImXeuclFlLt5RXVT73Wv1dLqPVKVbl/mpjgB5j7TV4rwDd4CaAStbOpsLmksRNAglrI6ZSIY229SqJYqKm+YF393nsuZA7HlTQSDKmzj6hFCRaMiSPKUqQG2xpLIVtaT3vLFa1Zb25hMk66135kjO6ZfCqkeGm9F2yxJQSJwe8zILnXMe7lJFqSJOEG156HdddezWdbhdvsqUIa4qZSZiZTEAoO8hQ51/cWIZSmip7sZ7WXh/YJasbR9OOyRJHkpQypdxh1wI8rfrd0lqBsthX3QaWUiZIL2HvUY//+ckJDi4FWUWZZW17L0v2dhqeKyBfT55UpMnYtKa1aqSqUta4Cy6Ll4mVohGC9dL4Y0OC8kIso4tNZUUuVYRBSA8ZG3bNJPzoe7ocPetx4JTAeK7AEiB90gzkjIE8j/hUwX6Z3w0Zi4si0MzT8QWLj0kXu+BV58gYMXZ+MzAXVuFYgVbhzWcWZqqh10/pDSE1iiRVeK1GhB+EzE4N2DzbY7EdoHX5Ba27jKzzuFy210oRV66UOwG4/nd1EyOVyZCSyR3drXT2fDyZUwJdqRQpE4Iw4Wxb8EsfmuAzX2tgfFWm4zNpsh57K+cCXOucVOOQNY6Tw+hu3sAFfIW1x8Cev7a2JsXV4Tmg3QA07/yRWVFT/jgLPlNNgsaX1lVpjyQ/9WuKc6sCQpduBQavYPJSnmQXWn6fsbaSYHQmXwo3RWRBZpXJhbRuiXEaXAyOLMkP4zK6oxREvjKOxz327CUpnFlJWeoaBhH0RiDrtYSgwdlRGt9+rj/Nag/S1JbFu5qzIh2Koe/u5qeunVduO5d72LnrIZ33cuDmHnfFIVGlNVjUneQVg2Oet8yDSZVkj22tSYTm8/fX+cojjazWJLcEZcbgOXuXuwa78wZdt2RNWazzBbhEMM7cBfjXK1xza1FcQOeshCgDt7F52HmnT67HU50nfpzUvpFoo7LX7OMk8RBG8saXD3n7LX0CkUCSgM6PGEyCMYbEwFDDSAsiDbEWJAaSYkg/JNkem4m2Nl25FWG2W0UWFKdZVra415CmeWOCyY7xvTtL669sYih/1jjnWEpBI9S87Oop6g19+0j7ZyMN6hd/6beZveBVqwdOhqunz8t/0Ftdpl6TlZ7IEsDua9VeyTVd8DmocyaslLsyBuL1Lg7XCjQluMeY2+2I9zJwe15CKjWfu6fO//O7kxw5G2ZNDGVCB+khpCCUUJN2kL2XjYHLZ4uXyZxyNJzKTmaegCmm3AqQMj9vdvSGO6TfTuqSYwkxyjkw7uEGtG4ZgxOwu8RjpxTkuQbW/GwlThCANsxMpFx+ccKJ84oDxz2b8CmuxvJqzR2QcvzF+M+MX8njF3n276xdtKr+v3BXMrGWANZd/uwfZbdtl0w04C2v2cWNV0/+G9M/9NANN7zW7tGzeTLF91NET7PcK6PTstiprCWR68iUcrs4szbApNTdVd/b1eDlxqKlNMlkiipdE+lIkRzc0gkoc0vQ91OOLEo+/Okm+w6F0FKFJLGJHau9c2lS9Fky7tGzfse8E2wWX7moBpRVD7wM0t1Fde2XLrDD6J0v13FRZJHxq6bvpQCt7a7DuTcucmbP6gmE0HbqlbHeeDwyXLYr5vvf1eWRZwKOLjhLVRF0WhmSIBgKG1ySjXAz2q1DKXV5UaNSVT0IkZfYmooEKWSMLi/AcS/cbZox+UUMZd1M4aYIzi9JjpxQjCJbReMBXHnl5QRhnWYd9kfH7TZ6ikwKuONwzboAX9cxwXk919eOHnf3NpcVza1LLS60856mLJxyZEnxWsbeKmW5K/j1P57gridqZZVgnrHMwK0k2Q7F7hjk8sQqB8zr2YLrAX/cAv9mb253faWq0LjyJUtrawsonc0GNMIBv5PplMKghUFoe561UPa5UPYyEpq0r3nttSP++fs6/Kffn2JlkAM7Q5IWGcg9EikKByUHOdoCmRzwGVnYz0jRkGyyc0h2QVgnpUzcrBdgFquQMeUFkr+Xx4hZRjVBkA2eYHp2CxddfDn9/iC/RmHTpk1cunv3Hb5Y+JWNcx71MCXw85qPfCSDdmTJ+nq78rpyLT3t/Lwe0+KOrlauWzLWlbOmOjB/nFQSOkNp+J1PN/nQp1p0Y98WJ+TMnbkmdnZf6ZxUiqryk5yz+Vgyq2DqdcFcnXP9zSB9vLu+AHL+nqku5dWEz9j+OvlrzsAgbWTR3pYP8NSm3IOz5cEPvbvLD7+rS10nWc1Gfh9bXW4SjLaafJRp8jg7EiOINXaWucm0eKHHhb03VX2uHY1eed2M6e+KBi+1d679k9QeUWIYDDWjxOfAkXO/ctGuS+6Ym99YAnzjxs08/JWf70+Gp47MT6fUgrTYgSxv4pWqCmilqiWrxesOE493vFcvAjdgzJm71NmuJJG5MyIcBldV5pYyAV/z/CGfP72jQSfOJmOSAzv3vSWCTJoUh6l0EykH0C+UvSxkh1j7ulur880gvWxXG7MM80CzGE7pXgROU3IBall9XoyayF9TmKy9TRuF0YokVrQ8w/e8scfll4yQaVKAugr2tAS5wQadGbiTDNj2cECeA7ny3L0AyDbbygLRMaCnTjBa/rzttdTa2oJxYo9BZOiNFM8eWDryvh/5T/0tWzaXEgVg5+XvwvdrHN5/L93uo2sSPl9PhqypRZF6nf+mlDe55i71d57J1FU9LquBpRROlnIsFe/5KU8f9vmxX57mmQMhxpelLCkYXDq2oCkG+Yzv1LCeNbieTKkkdpxArPQJv0m5YqoPq774uF2IlSQ6S4Fnw3hyyaKFDXC1kVbrGoM2MvsZOyFLaOuNpxgQBhEZrrk45rd+apUf+s+CZw5mwYnMP4wol5NMrhgs0waOfailyQBlJUu+Khphk0D5xuKG0hfPU/nFlieUMWCpyUGk1e/CShpTnODRKOHmG3fztre8ml5/yMd+9+eqAA/rM3h+g1otJPRTEF7xi6BMt35DgItqQFnV6W5hVf7Y0d+iBLX7WMkUkXvfqgS2zBI6nq/pGslvf7rJk3tCUuWwtijrTcCxBSugdisaS1Yenzu4ZixEBewuGTjg/ToIN2PAdhFu3D7Nyusus4/VjBs7t1vrzLURdjKtzvU4Bi1klpyTVo9rQ4rGE4brLh/xz97Z46f/u083EeBDUUTiNlNqRSoEUd7GpoVFbHZvsM3IeRomjx3sf14GoDnYhXGAnmPIOKRS5pgQ+UeR5ek1wCg21Gp1tm6ao9PtF+e1AHgQKPzAP9hshocajfquwTBGFhF4lb3BFB+2dEnKK6oE9hi4nZqTCnvnQaTQ9v2i3iR1AJ9m9SipZXKRoESK56f0NXz4M00++ZUmoxzMY8yNsBZdUVD1AuxdCXDGGVuUwK4mc0QB7rXI/kbyZJy9x4Dh6HCdM98Yo5eSxWTglgWrCyMQWY2KMBJhTHbILABVCGN7GQNheM8b+uw55vHhT7foxdgTllNvfp9BONWSYvPkLFVva2SsE5KztxKuq2LLYUt3xXFHjEMklBnP3EEpCMRleQGp1jRaLYJ645DvhweliotzmpeTUW9dyKH9D9yemNmP4W9Gp7poH1vb1FudR+LKCuUwcJkIcpM71Qzl2mxkWfIqXWvQAXfhoHgJ3Qg+9Nkm//lDE5xf8ovabrfWxB7CYW+zJlu5ZmaLK7kYA7v7fIy1K++Jrw/uHNVuoVXxWuWpyBi9GmBWUvZ54gfnfS0qzkpVl6vKVoV2BJxi06zmZ/9pm3/yzi6tMLEC2KSOHreJIEwKRqO11eNDDZHONLmrxU2m0U0ZcGpTBpjrB5S5Bs834hJFcklr1gSmaarZdcE82za0PnbbV+65/dKLt65lcLtkhiDrXzRGvkN6/rVSpFkPZJWNi+XZLYzh60sT974otHI0t8vcOfDluC0onPJXlSJrhs9+scH7f2+Cs8s+BGod9q5mLH3hdBGJsX12cAA9ztyOz11Jxzs8LcZf/Cve3IxmCX5RvLB+6t6myu1UKWG30RYlsIUpPXEhctYmu8/limVxtEccGTZPp/zsD3RY6kg+9oUW1LKlYw2T25tGEmO97EA4RVdZJrZk8LKvNZckuT0o8+lY4yunwZGD1ikSYMsRJJjUEAY+viefnJ5sfLHbG1TOqXSfXHb1Gzh/7PP3BV730dDHYWxnkHylF7J0P1TFHTGVIHEtE7uB4xi4ZVo4JC8EbilTVKg5eNLjj77Q5MxCUIJbjB1SIjLNnTsnXpaYGO/UcRuhCzBTlSVljY6oOCgFyt37bwDmr/u+432v2cYD53GuyfV6rko5MMim7d10fpXFU8dhSSLJ5rmU9/29PrsuiCDKWNzkDktaOi0ZkxsDiYHIOCn94nDtQpEVg1UtwtxmHGfoshwgswU12SohSFPL6gbFYjt69EN/csd93/nON70wwAGGZhdDs4tYN5Gy3M8m3/3X7aKRawA/5n6I0jasWIFuGayqyhIlNUqkRXBZBXfWFR9oDp32+L9/a4qvPVazDZQVr9v1vq3nnY+B8ORarb3eMJ/Kz1QGF43JFPKucOEw+XqOS+YI5OA2Y2xNufnXWgC7OrsK5HJ2SvU9tyjLYMFjdG4jZrKkkC7SbpNi7LRarRV6KHj9y4b84o+1uWhrBHEO8rSwDYv6lQLkWf2KgaEWmV++1j4s61bshbCmhqWQJuV7FZCn9uNEGeDnphu88vqLuOVlF60hCm/8hauvewNCetGxPUvE3XOEgc6qvvIvYJye3K4L11kZCyoZCzAzkAvXMRE5o7vgLqWKlAnK1xw97/Eff3uST97RIBLZblTC7a8swS2x7F3Wea+z/bYwayQJ64CzALDzM64d+HWJW1RO2Vo2N2XwtKZYPC+hLRyVap14MTahktksGyGktiDXwgacosiEyiwrWkaxuWRJtKHmJbz32/qkGn7uNyc5dj5zViBPHI5JFpVdTGWKnqy3U1M6K3lXkLUJS0kjnD+5KJMdOxfuKpaX6W7ctIl3vO0NUZyk/KtvBPDZ2RmEmvzJeOu2K3oLz74W3bfLlla2ytAIXHurTHqY4r6it0XmizPmnIwBWxR6vGRvIarJHM9LObbg89O/McmnvtwgktnWa2K9w81YOsPrM629rjShBHtRKTgOdlH63evKl28msFznNo5rty58bdre/tJ8bx9tsJ0uY1nNQn9XdLgL8mwcbNYRqjNw5w3FSQK+l/I9bx7gKfiZ35ji2PmAbA5z9SK0v7CwYzWCGBsU+lLg5zXu2d9mv4dsUJDO56qYSu9mYXOLEtza2NUg0jBK1jVqEQAAKnRJREFUDHNTLbZfdNGdO7Zv+8mFpc6a87pGokhvisHCJzqTE+zTop82G6vUa8Nso6acTTM2llXQFvNKHB2uZJnQUbLqb1e0uVNfIgtw6wLcUqWcXlb87G9O8qk71gH3GlvQnkRfVrt01mPvHMxuJV9+8Y5r8TLAdi5yB6YV0P8V0D0eYI774uWLAl38rAVvLnc01SH6+VxDd5u+Ys5hrs11uTVKntI3WlmZohVJIvFSeM+3Dfh/fqzN5tm4lChOlnONRjfagjHLekZZaj/SlLLEjGU9XXdl7Cj1uJU+K5GgEw1pNYepCPx9//X3v9jZMDf5jQFuv1jD3mO9H/uJD+18+r49glo4Glu2x73s8dqSsdS706VT2H+5W+LIkkKOFMydD+vRpL7g9z7X4pO3NYiUC2hv7H7M8x7LWI7r7qquLgG63ngI1/9eT18XmUwh/qr4rmYz1yR1qr63m9YvLEHWMrjb9VM2SeRavAR2occzkKdGFfXj2ih0KvFSw3vf3OcH3tHDS9PSPlwD8rQAeB58plnwOTI2vZ8YiE2uxR0L0QF6UnzebLqXcy60gSiOecNLFvngT4yenmks/dgLBe3eei/W57+Hf/ufP5lecuF15rHnzvKS7R2iyLc6yQVDYQ9mV0uWfh9P9sicxcl1t5PBzMGdBZc2Y+lkKpUGT3D7fTU+fnuDkVQZ1bqAdtib0jUp99VxAI0LdFNUBlb22xFjIHeY2tXaLqDzH1hTJvvNgNv5wYpMcVh9jWuSM78xay4ArU1mqVkNqx3r0PXRS/mS9XZiv1crq1V2watsyKUhFJrvflOfR/Z43HZ/I9PY2QfW5gXokiLI1YJiPLMyNpFjin9CZFLeFLmkYn6Kc4o9CU1hkHXNLZdNsm3rTWbnjjSd2f62bx7gAP/ifbcQRcOP3/nlw5ceOHaiOT89JAgSO4dbmALY5byKUntT0eCl51164LrC8KJ4XromSqZITyM8+Mt7avzkb0zx/OEwaxheB9huYCnybOV4YFlN5FTHQRjGM5g5iF3HZVy3VFL3Y6D+huAeS2OulSeOB44bWI554nkHe6VB2VTuq4AGdOaBY3cVFkhrEhhpg01h0FplGUVs2WoKV++K+W//qs2/U/CFexpWj6vsU2syAa2ze4PbPWXIKg+z1dUg0Nj6lRzo+d+ZO075KZem/B7rvmHnnELKS3tp/Q0f92u1FzzH8oXe2LFjm1lZ3PfrV125ezFJsxODA+SMhYXrd+cFVAWwSwlSSblX5Ehm/4mE0vu2Xrjw4LN31/np/3eS549k4F7jdbtMbkef+cJeucXODLn+ZhzUX0durOeqsPZwb+N++Nf1us3XeX2sRiV3Stzn43q9krKHNdq78MVdPe5q70y6VOzD/P28zFYrdCS5YkfMr/x4m29/dd/qDFeTF964+ziXLPYCTLWVKLEjWSoVho4nXpTPZqsO5AaAYfPWSxbvuf+ZX5+Z3fyCp/oFGRzg4l27iaNV/Ohu6sGoZO+cwcHpss8YO89oyirQc9dECNc9STMGTzOZkloPXGnw4LP31Pn3vznJs4deCNyyZIiMaf1Cmqwd3lPOVjRjGvvrgN3F7JiFuE7xoIP2b16Hj48gK9jaeb+sS7GsXmQKK2xuSkdFrMfmeZWhrmY5bXdC9rVaFteZ2BUiY2anSoYIrr7o/9fel0fJUdxpfhGRRx1d1Yf6VndL3a0DhEAWCIFAEgKDbYztwR4w9o6fx+sdX3g8PmbxMTM7ZjxrG8ae8bnm+cDHsl4Pg7Gx5QsbPFxGGMwtJCQkQetqSd0t9V1dlZkR+0dGZEZkZbdaqGUJvPFevarKjKrMyvril198vyM8fOb9oxAC+LlhyY/WwosXyGSKQH6zjVhViSVDVag/PC9OQvBXfKBYrEFP7yI0NhRnPNqMAM/WtJfp+JH3trTW3VaZ2JnPOg6mKnZoUSI3vYj07yQ9ieTBKJCKa5QlBjfVvJWEhpz7Fw9m8ImvFLHleScd3EhYb5qMNVEJDFqJCpjWu4qSGBPGBJiTYE9wQzUCzLdHh7jKR6yiJ4iBGwnEkXSo0w+do8eKSmzlRURL9GwgQzZU6oqEU/QbaBh3HbIXJr2Gcm9F4MxuDzd+YBRcAL98MBvr4tP/WtmBAUTGgmv9meThTPLwmLaEVzYQYcUqh5WxsmPRRIXT9/Z2tZZfNMAPjwzyQs2iR/q9143e9rOt+XdfUYLDLPiBtIYQmuXWrDiJrTUhIgJ3xLnVZFMDNyMBCOMQjOBXD2Vw3ZeK2Pq8A7iJfEojrzIGN9XArcuB1XHeyQTeeLKZjBiM6p1EYCeGlVdQjgA/HW9JbEuwEG0Hicx1MpTWnHRq4NYHA9e+QuZxEiSBruJXZI1DycXD4JDQinPphSFq+QbJySlCuqDOilR8nLHQw+f+ZhRCEPxmUyZci3VakOu/PLz7Ck7gy8Kdtgj/t3ggxyCnckBkM2V8+E3DuObP14wW67sfOTx5hGOGNuN4C+h8FGrqBrf3satami/1tu6qhec78tZhTiRJclIZRRQmJUClkHAT3DQE92//4OIj/1bE1j4ZX6LTEGNySaJ9BLEzJ+bdwgB1Mgw2cuyg2pKbIK/eFmE30U/ffqxNJB7Rdm1jlYMTmuYN05Vv6OFav2ilCF0rr6q3osmI3HwWgsnXipMDyxZ4+MKHR7Dh3CkwLmtBVMmG6ZwcEBAq6hBSI4fk4dJqq2W+c4xjeXOADedc5HU1+Fc11RYH5zc3znhdZwR4VwvDnj17cOma7n2vueisXa7bjolSGBEWZrTzFJCHgIbBvU3VhDKVZiZpCeMQFsFvHnbxgc/VYnufg6jMlJT+YnBbGkUJg0QMaoJkdo7uvUyz3tNRluqya6mA1oGfHAFxl6OCO819H3kskeTbJOLjSSmRKxkxAnQ8+YxAj9hJFH5GTSiVM4gmJqYK0AmQcwYeMIgKwZIuD1/97yN45eopsCAIZ4upDqAUvVyCXDmAVJCWJ4CyCB07gQBcFqCxUAdhn73Lo8v27du3F4RkXzzAAcC2GCaG7uvLZ8rv6untRm1+HLU1U3BtD4wF5sSSpE0sUyw3kRo3CWNLhAXc/YiLD/1rLbbvcSCmnVDqtMQENyPp9byPmnYW0atqjKZONhOW3ARvWtHS6eEtql7It5oZ1ylIfAQRA5+bfSJwq0GCaovOuQ5yalhzXUURkXdTgV0HOY0tuaAQZYIlnR6++JERXLx6CjSQYX8J72a6Q0hE5x9AemSBKMl53Bc4PAkcGOXoXrwUR0bL7/rBj+/vm82s1jpah7b2+Qi8cVAr3z96qHT/jq1s3Z7DI+hptWBbLjwjNqUa5FXSIAlAZBAVcwV2DzJsetLB9V8vYnufA+FMp3FrVEV6ZSgQl10DqrJz0miKkcSgg3saqTBCsebNTDofoi7yhQoQMqz/Ua5zhGkRf5HQ+HgkiSc4eDhBJVofkeDiiCeZUFq5dOFTxd3VBDOUWeMQgDC+XFAquTcHoVTyeWkbJQOmBCAex2kLPHz5IyP45Dc4fv+Ei92DFuAg7kvTQBkLr9F1kOfvBwK1TgmL54/CydbjrBWL73/d5ev6R8ZKqCvmjgrwo1pwAGB2DX738L07dg/Vf/mOP1yMj329iD2DHBYDgoBFPzZSVAweHmvghAbhxFKCe/t+G5+6qYi/+Zc6bNs9E7iVBiVBLgHGCEw3vDwHvcaJHlylQDkb9aTK2qfGmRBDZaky68ntacBOOns0wOvPSG43Yk4SXk8A0Lm1WtsHmrdTJHm4sthx1o/Q+LfQ9HIjI0jn5NKSL+3y8JXrRvA/rh3F4vkeUNasN0936Yfol15whEYrQwEaCCxqGsP17ziIb/19D85d5n552/b/3DEbcAOzsOCqubllyNcWH1nQSe5Y1jty5f5Dj6G5aMPngM186d1U9IDH7nkV8qpb7ozAjv0WPnVTAbfflcNUQEPxelrvpB5QFYIq6Yo3qAkSwNas93TbzPDXGKjR5hQffExdCI5qoo+hVYG6yjMZWmjV15QTJYAhywxHll1thxZ5GComhJgeT4o4iVklHRONwkTanZ7Zo7QMAlA/QEu9j7e9dhKuI/BP/6uInfsBuFrfyLTKq8iJrBoUPrlUIMOAAhNoqnHQ3LgOi3tX32EVTn8EGJn1tZyVBQeAc89shigP9L3linM+eP6ylo0jYz3Ye7CIctkJ620ILSNaAppqDhxCAjDCwRyBnftsXH9TMQQ3WCgFEjYLcIe8W8mAynpXLdaa5NX6M00AV98vgWzEoCQtfApXR+J7Zo32VK2QSFBr4E10N1UUc1IZbeOmOgJDYUkmR+iTTqXGxJk/epKEMPI4p7HknCGYonC5wFWvLOGT146iZ74nkyY0S55izVW8k02BvM3RWRegq6kJ+4a6N1qF9R8cG57oI6Rz7gEOAL09neh7/vHday9Ytbm5uR2TU5DOApEqAbLIeSPd7y7HC4csfPKmAn74GwluK61+yczgVktssyj1LObbeo5lFPmYBCdR8TOJbO2kSkISrxHvnFYWTEovs8W5AvQ0SNYrYOnJx/r+quq0QvtukRwMMdANN76iJ0aEop7mpk8wFYXRQc5k9SwLgU+REQJvvrSE668dxYJmL5w16pNNHeTcBwSHJ130jAAWDdDc1IoFPSs3P/T7R3YX69uO6drOmqKo1tbWjNr6jhunRp/rqYzuvcaxx2BbciUFoyCPHwGb0AAVQfDYUy5uuj2P2+7KoUJk5q8+iQQ9Krhjvbu6pqAuBaaFwybLspEEuIFqkBsWOWG9kxNNHePH2iJgG/RDKSYauInutpcWmAiDXwvZIVo/HojpigR9XDAImjNIDYC4xopAWFSfIlyTEzQMxqIqV0KrJR+tiCIPSCkQ+IBjcVxzaQngwNd+mMfj21yUuWXSG5UZRAg82JgICDIVYGHbPHR2dt66YsXyG3c9v/eYr+sxWXAAaGjsws4td47YuaXvnN9afqC2MIVcdhKuMwXL8sKVzaIls31QK0CJEHz3F3lceV0Dbr0rn56JkwpulecenyzTHoqO6AV8dMDGK3klJotpVhuIte8E2Kuse2ISmQZoIxl5NuhOdK6uWajem7mb8QeIcQfQLXr0PbqF1yeYSFIWaujhJs3R7gI8nqDqdEUIJusgytc+hR0IXPPKEn76+cP4yyvGkSeeFlPuyXIUFSCoQPhTmCx7GPQYBv3cA6uXL3jnrT/89cjiRQuPGeDHbMEBYMmZl6My9sAkxNWVJx79BgYPH8FFK7ywFCBU+GsAZguMBwTf+0ke//CNAobHtCL00GQ/olbfTciCEk1EWmpFTUzrHVvkOOY7RQNHijqCJPg10Gogjq22Hmtism21+FQ10qfBtJr8HQ3kGjUSQkAZ9TSXfQRgom3XtqmssqqJJwcIlZNM7eQIRCQXqkGkW3Iqu3LobnylpBH5Xq6XKQgY5WgqBPjs+8bAKPC/f5LHRAWALcNrBQfgw6LAmjOnkK1ZgP969RWV7cNk8r9ckx7vfUIADgB2zVJwzh9+qv+yNQ8+vDG74dw+2ARx5SMKPHfIwk/vyeKzN0twWwkHjg5qA/Aq+4Aa4E5m5hh0BMlgKpFigTXunQT5DM+pXJzEoJ8Jz2TaPQkwIwlSbbt6L8yBYcSmyOhBNRDCpUZi7yYRcd0/k45AfjZ8TbTXHBSUh/AVlEcDoJqu8DimXACAjDdCOEcLw5iDkIJ4HA01Af75PWPI2AIb78lhxyErBDgCAGEe7dsvnSwv7i0+0LFk4cOEHDPRmOVVP0rrP1SmPJj4n0N9n/vw5OQ9mSe321i51Me5Z3nY9ISD679ewL1PZlD2lXMmsYSIDmoFdqq4eIiguGBPknurZVSqY0/UKhRVC0pRsw/RlBemrdpAou8Is76j1Rjka0YAEvWX+wmJX8sVHtR+QtRqD3p/QF/RITrvlNU09NUzotU21O9J22aU6khWE9P78OrXxup38X4zSVwLqIsKqSpZWNsvpeJYVdPu7oyjHBDc86SL679RwO+fcLHqLA8rlnh49KkMFp22cn8+n1v6vc99bPx4MPqiLTgAtDW7fOCF718/xbu8r2089+Pf/9l+Z8MrJnDNZSX84M4M/vORbEhJ7CS/TgJbt96xuaREJi5A8u5kLUGkRANS7T10CqLp3glaMiOn1lSRtCCsRJfwfQrdOGpL9teohTHRhDmxjCy2SFj7aHucx0gia63uAroHlMr+PLb8akYLhKUnlJcToRUX4AAHuKQrKqaEy2VVwoKbHJQAnBAICfpwBQkfrsXx6jVTsC3gB7/28JZLS1i73Membe2VZ/Z2fmuy0lg5HnweN8AB4NqvupWG+tNv2DXIKz0dw59ac+YgLfsCBw5JIEdljFVBHmWhtYcOcvlnK3DrJR9iCVCLNYEpAyYnltUSYQKwM3FyLeAqGfddhcu0SeVsQD6LwaBTFl1lifYhBn24kYALHjtwiK6i6AFaWj4nkvtlvEtCduScglIu/TyyYqyiM+DgoCBclc+msjybWpc+/Lei8/d8WBZHW3OAjEXwwBMMp3Xm+MUXzv/UxfnCv8HfW/nY+44Pn8cN8Ns+fxW++YN/Ly3vWnBHe3Hyny47cyv2DzP8+Nc5bO1T4LYRFcPUwR1REZ3kSv0TepF6EdcS1Lh2Mv1ML5ipAzNys1cpKtWgBhK0WkOwYbFJcr/xE160VKg/oo2Kj0sQx1xalwgRy4YQ0vMo4skk0UBN9EFhxrronDw8ZrwWj8or5rJMMkU4kYyqKlNZvZbEyS/6mvUUPLxDUHmFqAAIx4Ehit/8LofdB4tYceYa0dTVccfArlKps/evjxeexw9wANhwbjf6R9ueW97uXltjl2/qf/YuOjBmSRIpAa4nKESCqW5O5Qkp3o0EuKFn5yhwavEmBmWZJsY7CX61D5o6kgCxAeYq4BLjM8lOZLr9OmjTLqimd6u3SSseSeTK9QdVfUwHcAx4Ux5MUBrtmQvIACuEANUoTlQPH8plL6TVlvu4umZR+rA8P1WbnIBKCTK8OgLwOeblfTS3AitWv4Yju+xat67uuYmB46LeUZsTgC9edB4mh7dUsrWX3vyjXzyXu/1XK76wb3APnJxAhSuA2zEdqUZKBFCL6JGBcRBVsl5gEsDRcnnyYisrPxMFAUE1ZYG5rYp/a4CtCrKaiW7otCJlt5GaluhLDCsO0+omtkFZ7Eh50QAPBfaEeqJ9H9EAD8W7o+1y0SkZlhGlyRFEVV/Vjw1jYYT225WPQoDxUPOiJMD4BEFTjcCn39OAgyXvby+/7IKb733s+WDDOWfMBTSP3dEzXcvVLcMTzw4ES097+86/eP0VY7f+s41Lzp4AhAPCHNiMIcMIXBYXoFdgZSScRCbBnZZqFoN3hphvA9gp6WgpQE1aa32deQPvxLTK1dT8RZATkfoyehPVhYxkwIQ3U/bVHTuAmigC0QrGhn4OrSKt+UhWyOLG51TyRJzEnJYZpBca4gFFEFjwAwueb6PiO/A8BwQMdz7s4ANfPQu1rW8Zu/rKt+y0vH3BhnN65gqWcwdwAMhl8zij5/DGV110wfvXXvDGw7ma+QC1ULAoGmyBOkugwASyVHPaIE41U+BW4I1CYNVEEhqItfeKY+stdQIJVNMV3XuZvLmkWHGzg/mapHxmNi2iIglAG1wcpkdTHSBKNNbex+56RAPAoCiA9HymeDPls54tBBWIhWmALC2ykUmkheAGgiIIGDzPQrnioFR2USpnMFFykMu1Ye2aNxxu71j7/k2P+hstu2YuITk3FEW1pQvzAIDJyaFbsg2vtS44v/7GZ56/vykYG4ZjhXXoSn74BwTqQmsURNXsNj2Uotoq60oJTKUkrZAmtP0KGjrwdcjo1CW1Twofnwbv02zQ2mzkRL3PNFQl8m4mJ4wkTjgOaYbGx5Of0QaCZCEGyAkxk5zD04lPnnMSrZuD6JTi3lwQ+L6FsmcjCCgY80FYPdasfvXAmpqLPwZRvuWCVc1zB0bZ5hTgquVy87BvcPQ7b3vDhXTs0MBn7733oaaAc5Q8gqBEMO4T+PL/SoI71d2O+FE9eazm3gYwSRwxCMDk4CDTWHrtoPJD1cAmpjQ47UR0+qZjl6TtmI6Xi2heKTl3CmCJrqJo6ooELhfhNU/q5/pz2FVEkYfRJJNUA1hRoIhvCxL/N/K24/kWxiddTE5Z4JwgU79qoK71sk8I7n2H2g0nAopzS1H0Nr+xiLt/dffNi9rzH1191vzDrXVAMUswPMkxMhWgItdcVNfESFZA7H5Pljo2ODVMzh251PV+SKMlkprolCRhhvWBEm2bAcT6d4jZIlxreugrtJeGS17vB53KqAAsEiPQUE1IFUXRQ2nV8dO4uKIt0KhMnDaXFrClArPkdSEcFvNRyJVQWzOFkQkXew9lUOI9h8fLTR99+vEHbqZ2/YmC4exqEb3Y9qPb/x1XvvGNTzU2FPa0zHNe1VJ32F2+6AgoGUfffgewLGO9eFXQPDWASgGeoFoDV++p9nltmyElRm5vYlIaoy9JVMIi0aCIjkm110rnlQFXUT0VQozPmn0TdxMa68npAzIeRPq8ocq7mtge7yPVAxwi2g59n/Gs1I/pB3h014tHXvQ7LMpRkyvjkW0+frqpBlt3ZFBb3zPW2Nzxfs8T3z9v7Z+lKqVz1U4IRdFba6PD/aDu1oXt1C845e9lyP6MRcu4//ECWNaBTQgsaiokkUXX3ut/nGGlte2xCCmq/7Skpdf/JIOfm394KuGYyXzDBMKsW5KPi/h7hKZ1p30mVUpUNEWlrqXwcg65pJ/8fKTGQKcqJDq0Ojoh2mt1VmboIwSXSwFSAtfx8OCzOXxrYx6XrVowReymvyKs5vZDR0ozFu2Zi3bCKIpqr778TTijeyhoa22+vaO98W25Ys/UeAkAtZBjBDkm4EjLqy6eDlw9OlA1nbdWWapU61XNsY0Bo+TaJG1JHkv7vvhkXgyatSZmt8ugFCJBXTSaEtMDM4khphWmnJgm/0FSkqQCY5yLVFfMwkPKWRTGgnsBQ8W34fsWHOrjrGULp2rq29/WXFt3+x+eGQ3efPVVcwm11HbCLTgALDzjL3C475tBfdfqH3355qm3bzmQ+25tbig3zw1gkbD6fyVQ9tJ0xU8HrCqQR/vFLG7x8RdUfz4xMPRbcxW4Z1ZNZoN9wxKKxGdSVJbIealAp5lX04Mp+2uTTSBpxZWVjuNV9EmrECR01kzzI0VktZV/M37tBwy+H5bSpMTDX17ROrnuvMw71q5/24/oZ24TX/y7t84pxqZrfxSAA0DDgnfhrdd9W7yizr5t8YJeq9bJ3nT44P7aibJA/yhDKQgdQCH/NWt1p13eKk6YYr3TgK27z026AwP8CdZhckyNz8Yt1ISO055XNR30aapiDGTEMqAEdextlGCV7nzoQVaGldajC6WCAplokXZu0XeFgVbQVvcQguLwuIvJsg3qLBxpndf4vj2b624TozeCFD8+x1dp+nZCJ5nJtvnBn2DZ+qtxxbnzNne0New/Y3Hr+snSaG5wfAjDHkXALWRYWJKQEV1lJQZIkxPDtAWljJhr1Z/GE0Zzm7k9nriSaL+aYKq48HhAkWjSSWhyIkmqJpck9TjT3HGSgxA6hTIHqnF3gvoe1UcrQ6dTQWi/AdXHV9Ga4XXW74xCu3HE6WyUCti2D2AKAyMeDo8vQLb+/CHL7frQnoGO769auR+F9o/8MSE35wZn1m10ZBSMWe/c/PQDN4wM3NJ043+UsWlLG1qyAhkWXkC1nDOXpotq8eDhasUiShRgxExo0AEeA5pUDYzoj6Qm8HRQE21w0CqQkujzlJLEYIgBrvYp9UYlXCQHafSexuHBxNgvtN8ltN8XR/GF5yO071NJDLKfSqQwEiGqX+sLijHGo8+ENeGFVig//E2O5aOQn8SDz0zg/97bg2uvuXJgzfnrPu773rfr6mpPCs7+aBQl2Yq1RQgx+e3V568j3ujhz37nrnuaXOEhb1Fk7BDc5UAuJCokP5RSYuRMwAwymfY8XbxKkpKkTSzjNoMtOF4zkco94tDYtONF7DfJ2xUR0Rw7erZ85BBCzLOrJrDq+4SkNFqglFrRg0DIlR8IPM8KVy+2AYsREKsJ56x8w8DZZ1/0iVJZfLtp3skBN3ASAR5esByEGLqZZy7xX3NR4xdGhu6vHxsegmsJlD2CiTGCCS+sLGrRsDASY6YuGwNZRNau6vaOmIIgAejwIW/l0MGtE6TplEGSANfcN10CNEANROu6VxUHIsn4ljhnUy1eEDuJYtd9tMSOcvQQEkcEymNTymGzcLEwS1BwbmF4zMFUmcJ1bVhuC9act+7I+bnzrit53vc6Wgon9gIdpZ1UgAMAIfMwMRHc8up15x3ev+dAb8bq+ZfHHv2DTalArlDC758jGPMzyLsUjAjY8g+qmkgmgauADY2LotqaV+njkmIkUU0iSxnPB/5YzYgRUYdWE095XkLomjaBWjtYudOr4rr11LUouhBxQU4VwyKlQyZHGqMctuUjl51CxQ+w+QUb/YdcCE7wiles9Jw8PtrSsW4ns3I/J8Q+5t861+2kAxwA8nnGt2zdvvEdb73c2f3CrsmWee7XDu59iixs30Nfd3gIX7itEX3D9chRAjBueial9a4KncUMr6Hj17TeOj1Rn0tx250aTWp7Mch10U5uk1uU652mRRdqYOeSuxCVzymLdnIZ0EOJQC5TxuBoCZ+/rYi+fVms7M7xteevEIWG3r/uXdLz3UMHBirtnYtO9tUJz/dkn4Bqy05fgomxocr8+S23zO/oXrZqZc8/nrW0FW9cW8aGc0ZgMR+ANrnU1ROaAG8KsNMtNzGtv27NjUZiUJ8Ix/KLGDCpobSasyWtYH4EWCN+JOHsiWqlqDJuiFd44GGFsYBz3PUYw/+5uwifLEBDU/c/dnYtWFaoa75l5+7BUwbcwCliwVVbtGgJAJR2br51+8DY6hsyRThZSv++p2MXyzsBHMJgawkTermEpA6elNaqFZLqyWjYdJ1N25I08UdpxzIOjvWmIPTxFnlhYbrTE+fAQWQevLLO01vxqACQLNwTDhgKQigCn2FskmLPQAEXrlwenLO049NvXNt2w68e3ht88L3nnQBUHF87pQCuWu/ya9C/8/tBa+9ffXJgoN/yrfv+dmn7ZndseAQZK4Bj0XhSmVRGgFBSRCyxVfcj5kAAqiiM3BXrypIGTFcSIhJ2tH2zCfeumrzO8IHIX2gQ8piCRD9IhKsWU8VbZItArmaUgCx4H4d1huCWCcWArBEeVlkLglAlyeUX4rp3rijT2tf+a0Nt+yeLX/kx/uEDf36y4HJM1/eUansPHEFD3kLJ4599+Mlda75y80Za506t2X/wsFX2KGyLgMWVJqRWrkUW0rhQD6UJcFdZehP4SSpDoQaLfkdQvFT2oQntm5A4anEaHTypx8dFhqZfT0hfrSIthNiIkY/ol6aLEwHGRPTM9KJAqvKu5uChJMDoBOBmG/2O1mBTe8+beKZ42qbylPOJYt0YCGk62VCZtp3SANfbHT/ZiIxjFY6MTnxj05MvvPnhJ/dTV0zCcRii+noJoDBKorWsGI3BpVtu3YIDJAYEqnl69QAxwa5Xv1KhsvG2mQFuOKUiRwyiAWjSMJH6HtAADTObKXwW2rWRjhzG5bMwBovi35T6aKwnGK20c+ou+w/brX0355WxtesvP9mQmFU7JSlKWrvyz16P5154YaxYk/lA4/yeHZT9YTn1hq98ZusO+DxcOlTIcnlJ2qEsqwJVejMXcU17VLdEiCg0nZqk9ZihEeMp+ixN+TzRO+jHJgndXJ6HWtuSECKdOHFAmy4lqiXaAYIg4BgvAY3Ni1Cc59zRNu+czcTp/BJ4aaytfcmJ/8PnqL1kLLje+vp2o1CoWbD5mW1ffOzJ7Vf+9ndPY9/BUdgWQy5DYTNE9QZtC7AsAosBTMaWEKiscaGBcXp6Ym5LSRzQrHhUszBJT1IsuBELk6hTSCLXe/UEWrnoAX1/kqYAanip9d4JwuMxKmAxAdvisC0RLtFOAdvicOwKIAIEaECubgXqGpfe0d6x6ENTUxN9zS0dJ/uvP+b2kgQ4AAwNDsFx7EVPb9l11uCR8Q/+etP29U89+SyoP4KMY0GIcELkOoBjEzgWAWNxPY8gEOFSjkL3jKaBXK6XHtUqIlXUxohHifj2LACuFfrUQZ/k4MaxAG2VaZNjq/NUnl0gnDT6nISluOVgtpiAYwu4DkfGCWAxVcmqgrZmC42tS8ByK+8TKHyp2NDzFOf+jrq6+pP9l7+o9pKhKMk2r3EeAOwQQuwAsHnPcNB2yXlLv963a/uinTueZI89V0HOFsi6FBYjcGwK2wrB6Ady4VGEKxwAseoC7dngDcIEt2qxv5DEMdlRbLZIhNlWt4gWaceOJokJ2qKUEiN7R72MAroRTYgBuegwByo+QRCE3k7bIqHLnQM2C+A4JWx5vhavWHF+0LG4e0fWHX1PTdOF/QC2E/KStYEAXsIAV03+AdsPHBza7gfBq7vbsvM3rD/7h0e+fXfRGz6Qhz8BiwIZhyDjMlBKUK5wVCo+fF8g4AKMkggQhtxoHAims0dT4LiIra7QRepj+R1IpyZprYrXJzJuCImVEc4JKh5DaYpgqhJSp4wrQspGAbAa9PQ0TSxY/vrRSoVeVVPfvo9S1vdSB7Z+XV82TdIN2j84Vrt1247zcza+uWXrdn/Xzp0NVIwVsm7IPQMe4Nm+Kew/RMJbtU3g2AQ2M2kMpAXW64PHB9MsKhCF0zIafkd13fB0ihKrGmGlad1LG01URXTIiKqocNpkTErIrUP64ToBXItjzyGGzTtCz6RtM9TWWFjcXT/W3d17uHV+r1XI+++qbeh+KCANIxDgGfflA4tTxlU/F00uI8KFN35k+eKOOxvqi0u+8vVbe//bO9766Q3rznlmYVfTE92duan1q6Zwxmn96BsSGJsU8P3QaloWgc1kWTnIiDoR1+HWEyPCwKXwDhBwIV3awnChR/VVUppRdg3xDSKKb9cK2BOCaKKoFnSNB1X4+YADnk/gByH7tihHTaaCtsZhPLFrDzbvASo8O5Uv1D/Rs3jFM+suuerT2x77Sa+bKS5h7sI7R0f9IxmHvKzAra7ry7rt3bMbjFlk29aHUMgzVijkvmZbh5b8ctPWtbfdOc4mjwCtRR9ZJ0BtwYHrWKj4AqUpHxU/pC+ORWDbFBYLB1HABTyPw/NDDq8UG4sRqdhQMGau6mAkQUCpGbH1tlj4CFUNIY8VAtvzCCo+4Afhd1hWOEl0rLBfxSOYmKKoeIDFAtRkfTTWAR0tUxCshM37WoMRb9UD7XWF7aXSxLU2DYJLL7kQnu+Ljo6uk/0XndD2kufgR2sdnV1AbCj9wSNH3p3PZuovsQ98Zlvfz52dzw0E3e2Zs2uy5BzKR2HTSYxPBXi+n4NCoJClcCwmFRkKRgkqnkC5zFGuiChW3Vblz6XVNmVFFYuuVX8SMBeFErEFtywF3pBDBwFDxSMoe3JZUUJAbAHXDpDP+iAIsONphrEJgvbWAro621Co4Y86mcHH6pu62Omrrq7Y7vy/47x0JJc7MRWkTtX2sgd4sjXW1wPAEQDvA4Cf/fIeAFgvhP+qGnfqKpdNLi2Vh7F98Gn091uwWBmuzZF1BTKOi3zOAqMBhicIDg4LZGwg44Rgtnnsuo/zMYkhNwLJkg2Sfki6QqmAzQSyLkfWDZBxfLzQb6F/0A7vJjbgBwEsKuAUOTpbKzg45qOlazW63Ro0N9Zs6+4s/DCftX4thLiv6/T1AD5xsi/7SWt/cgBPttddvgEA7puYOHIfgPuJ8Hq518/vfnQrr63t7b5gedPHhwb2o1jjAv4h5O1B1BV8lPwRbNpeRNG2UJ8X0sITOdGjsCwaIVlNMFVIARcioitchAv8AoDNBIQIHS+5TAX1hTIymVH8/CHg8W11qMsDS3ub0dnVjqzro7u7Dc21O2946sDe51etvpB2tzdS17V3ArizqfFPy1JP1172HPzFtgMHDsF13bp9+/vXb9myFZmM7XW2uh8u5LzLLBZgwhvB+2/YhoMHSmguCCxoJKitYaAIkM9y1GQF+oc4GKWorWGwGFCuCEyVBcoeh8UIinkKxgQODAUo5BhaGjOoyVmoq/HQ1TaO+sIkPLh46IWLIIIaOBZBbZ7+Ju8GX7CswF60+DTMm9dyn+dVhmvrTt2Ap5PZ/uQt+HSttbUZAIYB/BQAxkb6AeBZRv2WIACvJeNoqOvHwQEfoIDrAEL43nnnn3u9yyZf19Iw6j38DEXGcdDcEAJ8fBIolQUmSj4sRtBcz5DJ+ti0maO3LWN3ttf+bNdzT1xPmW1nXArHphCox/LTV2Fe0QUXoBmXHYTA8wu6jm3N9j/V9v8t+By23z24CQBp8UqHauc3DYn7H7eRc100zwsVmLEJgqmywHjJB2MELQ0MuVwFv31MYFlnlizunT8ihDi4YuWplzjwUm3/D/5J6lzmfmhYAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjEwOjU2KzAwOjAwSSImKQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMDo1NiswMDowMDh/npUAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31745845
{'hecke_orbit_code': 9008298799923648, 'n': 1, 'trace_an': 12}
-
id: 31745846
{'hecke_orbit_code': 9008298799923648, 'n': 2, 'trace_an': 0}
-
id: 31745847
{'hecke_orbit_code': 9008298799923648, 'n': 3, 'trace_an': 0}
-
id: 31745848
{'hecke_orbit_code': 9008298799923648, 'n': 4, 'trace_an': 0}
-
id: 31745849
{'hecke_orbit_code': 9008298799923648, 'n': 5, 'trace_an': 6}
-
id: 31745850
{'hecke_orbit_code': 9008298799923648, 'n': 6, 'trace_an': 0}
-
id: 31745851
{'hecke_orbit_code': 9008298799923648, 'n': 7, 'trace_an': 0}
-
id: 31745852
{'hecke_orbit_code': 9008298799923648, 'n': 8, 'trace_an': 0}
-
id: 31745853
{'hecke_orbit_code': 9008298799923648, 'n': 9, 'trace_an': 4}
-
id: 31745854
{'hecke_orbit_code': 9008298799923648, 'n': 10, 'trace_an': 0}
-
id: 31745855
{'hecke_orbit_code': 9008298799923648, 'n': 11, 'trace_an': 0}
-
id: 31745856
{'hecke_orbit_code': 9008298799923648, 'n': 12, 'trace_an': 0}
-
id: 31745857
{'hecke_orbit_code': 9008298799923648, 'n': 13, 'trace_an': -16}
-
id: 31745858
{'hecke_orbit_code': 9008298799923648, 'n': 14, 'trace_an': 0}
-
id: 31745859
{'hecke_orbit_code': 9008298799923648, 'n': 15, 'trace_an': 0}
-
id: 31745860
{'hecke_orbit_code': 9008298799923648, 'n': 16, 'trace_an': 0}
-
id: 31745861
{'hecke_orbit_code': 9008298799923648, 'n': 17, 'trace_an': -18}
-
id: 31745862
{'hecke_orbit_code': 9008298799923648, 'n': 18, 'trace_an': 0}
-
id: 31745863
{'hecke_orbit_code': 9008298799923648, 'n': 19, 'trace_an': 0}
-
id: 31745864
{'hecke_orbit_code': 9008298799923648, 'n': 20, 'trace_an': 0}
-
id: 31745865
{'hecke_orbit_code': 9008298799923648, 'n': 21, 'trace_an': 34}
-
id: 31745866
{'hecke_orbit_code': 9008298799923648, 'n': 22, 'trace_an': 0}
-
id: 31745867
{'hecke_orbit_code': 9008298799923648, 'n': 23, 'trace_an': 0}
-
id: 31745868
{'hecke_orbit_code': 9008298799923648, 'n': 24, 'trace_an': 0}
-
id: 31745869
{'hecke_orbit_code': 9008298799923648, 'n': 25, 'trace_an': -8}
-
id: 31745870
{'hecke_orbit_code': 9008298799923648, 'n': 26, 'trace_an': 0}
-
id: 31745871
{'hecke_orbit_code': 9008298799923648, 'n': 27, 'trace_an': 0}
-
id: 31745872
{'hecke_orbit_code': 9008298799923648, 'n': 28, 'trace_an': 0}
-
id: 31745873
{'hecke_orbit_code': 9008298799923648, 'n': 29, 'trace_an': 0}
-
id: 31745874
{'hecke_orbit_code': 9008298799923648, 'n': 30, 'trace_an': 0}
-
id: 31745875
{'hecke_orbit_code': 9008298799923648, 'n': 31, 'trace_an': 0}
-
id: 31745876
{'hecke_orbit_code': 9008298799923648, 'n': 32, 'trace_an': 0}
-
id: 31745877
{'hecke_orbit_code': 9008298799923648, 'n': 33, 'trace_an': -30}
-
id: 31745878
{'hecke_orbit_code': 9008298799923648, 'n': 34, 'trace_an': 0}
-
id: 31745879
{'hecke_orbit_code': 9008298799923648, 'n': 35, 'trace_an': 0}
-
id: 31745880
{'hecke_orbit_code': 9008298799923648, 'n': 36, 'trace_an': 0}
-
id: 31745881
{'hecke_orbit_code': 9008298799923648, 'n': 37, 'trace_an': -18}
-
id: 31745882
{'hecke_orbit_code': 9008298799923648, 'n': 38, 'trace_an': 0}
-
id: 31745883
{'hecke_orbit_code': 9008298799923648, 'n': 39, 'trace_an': 0}
-
id: 31745884
{'hecke_orbit_code': 9008298799923648, 'n': 40, 'trace_an': 0}
-
id: 31745885
{'hecke_orbit_code': 9008298799923648, 'n': 41, 'trace_an': 0}
-
id: 31745886
{'hecke_orbit_code': 9008298799923648, 'n': 42, 'trace_an': 0}
-
id: 31745887
{'hecke_orbit_code': 9008298799923648, 'n': 43, 'trace_an': 0}
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