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mf_newforms • Show schema
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{'Nk2': 4096, 'analytic_conductor': 8.176681166979112, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 32, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [1024, 8, [1023, 5], [8, 7]], 'cm_discs': [], 'conrey_index': 129, 'dim': 16, 'field_disc': 1846757322198614016, 'field_disc_factorization': [[2, 48], [3, 8]], 'field_poly': [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 48, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [16, 0, -64, 0, 128, 0, 416, 0, 568, 0, 208, 0, 32, 0, -8, 0, 1]], [5, [4, 0, 16, -40, 32, -8, 0, 4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511211232527360, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 32, 7, 1, 8, 0], [1, 1, 32, 8, -1, 8, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1024.2.g.d', 'level': 1024, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '1024.2.g.a', 'nf_label': '16.0.1846757322198614016.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(\\beta_{14}+\\beta_{11})q^{3}+(-\\beta_{13}-\\beta_{10}+\\cdots-\\beta_1)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1024.2.g', 'trace_display': [0, 0, -8, 0], 'trace_hash': 35459387738397108, 'trace_moments': [{'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4096, 'analytic_conductor': 8.176681166979112, 'char_conductor': 32, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [1024, 8, [1023, 5], [8, 7]], 'conrey_index': 129, 'cusp_dim': 416, 'dim': 128, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 412350415872, 'hecke_orbit_dims': [16, 16, 16, 16, 16, 16, 16, 16], 'label': '1024.2.g', 'level': 1024, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 608, 'mf_new_dim': 128, 'num_forms': 8, 'prim_orbit_index': 7, 'relative_dim': 32, 'sturm_bound': 256, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [128, 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, 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, 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, 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, 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, 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, -128, 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, -768, 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, -128, 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, 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, 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, 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, 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, 768, 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, 1536, 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, 768, 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, 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, 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, 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, 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, -1536, 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, -1024, 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, -1536, 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, 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, 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, 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, 0, 0, 0, 128, 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, 1024, 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: 43293810
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527360, 'target_is_minimal': True, 'target_label': '1024.2.g.d.385.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43293811
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232527360, 'target_is_minimal': True, 'target_label': '1024.2.g.d.385.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43293812
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022010114638848, 'target_is_minimal': True, 'target_label': '1024.2.g.g.385.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43293813
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 385, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022010114638848, 'target_is_minimal': True, 'target_label': '1024.2.g.g.385.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43293814
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 897, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 412350415872, 'target_is_minimal': True, 'target_label': '1024.2.g.a.897.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43293815
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 897, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487268352, 'target_is_minimal': True, 'target_label': '1024.2.g.f.897.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43293816
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 897, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518410487268352, 'target_is_minimal': True, 'target_label': '1024.2.g.f.897.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43293817
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 897, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350415872, 'target_is_minimal': True, 'target_label': '1024.2.g.a.897.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43293818
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 641, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232527360, 'target_is_minimal': True, 'target_label': '1024.2.g.d.641.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43293819
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487268352, 'target_is_minimal': True, 'target_label': '1024.2.g.f.129.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43293820
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 412350415872, 'target_is_minimal': True, 'target_label': '1024.2.g.a.129.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43293821
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 641, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022010114638848, 'target_is_minimal': True, 'target_label': '1024.2.g.g.641.2', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43293822
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 641, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022010114638848, 'target_is_minimal': True, 'target_label': '1024.2.g.g.641.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43293823
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350415872, 'target_is_minimal': True, 'target_label': '1024.2.g.a.129.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 43293824
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 129, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518410487268352, 'target_is_minimal': True, 'target_label': '1024.2.g.f.129.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 43293825
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 641, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527360, 'target_is_minimal': True, 'target_label': '1024.2.g.d.641.3', 'target_level': 1024, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43293826
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81064793326227456, 'target_is_minimal': False, 'target_label': '4096.2.a.s.1.4', 'target_level': 4096, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '64.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43293827
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326227456, 'target_is_minimal': False, 'target_label': '4096.2.a.s.1.3', 'target_level': 4096, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '64.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43293828
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36028797052522496, 'target_is_minimal': False, 'target_label': '4096.2.a.i.1.5', 'target_level': 4096, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '64.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 43293829
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 385, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527360, 'source_is_minimal': True, 'source_label': '1024.2.g.d.385.3', 'source_level': 1024, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36028797052522496, 'target_is_minimal': False, 'target_label': '4096.2.a.i.1.6', 'target_level': 4096, 'twist_class_label': '1024.2.g.a.129.2', 'twist_class_level': 1024, 'twisting_char_label': '64.61', 'twisting_conrey_index': 61, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5183775
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511211232527360, 'p': 2}
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id: 5183776
{'charpoly_factorization': [[[16, 0, -64, 0, 128, 0, 416, 0, 568, 0, 208, 0, 32, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 3}
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id: 5183777
{'charpoly_factorization': [[[4, 0, 16, -40, 32, -8, 0, 4, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 5}
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id: 5183778
{'charpoly_factorization': [[[256, 0, 0, 0, 192000, 0, 0, 0, 45344, 0, 0, 0, 480, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 7}
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id: 5183779
{'charpoly_factorization': [[[406586896, 0, 81623872, 0, 8193152, 0, -2590112, 0, 319672, 0, -8848, 0, 32, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 11}
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id: 5183780
{'charpoly_factorization': [[[2116, -2576, 1776, -1016, 512, -208, 64, -12, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 13}
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id: 5183781
{'charpoly_factorization': [[[40000, 0, 14400, 0, 1664, 0, 72, 0, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 17}
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id: 5183782
{'charpoly_factorization': [[[4477456, 0, 17977536, 0, 36091008, 0, -7867104, 0, 842168, 0, -30576, 0, 288, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 19}
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id: 5183783
{'charpoly_factorization': [[[6505390336, 0, 0, 0, 1295218176, 0, 0, 0, 5693216, 0, 0, 0, 4704, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 23}
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id: 5183784
{'charpoly_factorization': [[[1119364, -84640, -10352, 10424, -672, -440, 64, 4, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 29}
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id: 5183785
{'charpoly_factorization': [[[1024, 0, -351232, 0, 15680, 0, -224, 0, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 31}
-
id: 5183786
{'charpoly_factorization': [[[8836, -11280, 14416, -3944, -832, 320, 48, -4, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 37}
-
id: 5183787
{'charpoly_factorization': [[[8464, -19136, 21632, -9888, 2120, 144, 32, -8, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 41}
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id: 5183788
{'charpoly_factorization': [[[1749006250000, 0, -559153000000, 0, 89379920000, 0, -2917247200, 0, 33643576, 0, 2109520, 0, 39200, 0, 280, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 43}
-
id: 5183789
{'charpoly_factorization': [[[1364224, 0, 292352, 0, 17984, 0, 256, 0, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 47}
-
id: 5183790
{'charpoly_factorization': [[[21316, 26864, 103024, -66952, 14400, -1280, 160, -20, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 53}
-
id: 5183791
{'charpoly_factorization': [[[36030006250000, 0, 5294205000000, 0, 388962000000, 0, -2393748000, 0, 5500856, 0, 21744, 0, 23328, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 59}
-
id: 5183792
{'charpoly_factorization': [[[2500, 10000, 74800, -18440, 8448, 464, -128, -4, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 61}
-
id: 5183793
{'charpoly_factorization': [[[78650008458256, 0, 1950924584256, 0, 24196480128, 0, -1467834144, 0, 40632632, 0, -36624, 0, 288, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 67}
-
id: 5183794
{'charpoly_factorization': [[[355196928256, 0, 0, 0, 3809459712, 0, 0, 0, 13648160, 0, 0, 0, 16608, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 71}
-
id: 5183795
{'charpoly_factorization': [[[2062096, 1424512, 492032, 78528, 6008, 96, 128, 16, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 73}
-
id: 5183796
{'charpoly_factorization': [[[160000, 0, 64000, 0, 4928, 0, 128, 0, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 79}
-
id: 5183797
{'charpoly_factorization': [[[21848556971536, 0, 962744688192, 0, 21211408512, 0, -4039567392, 0, 240291512, 0, -2860368, 0, 14112, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 13511211232527360, 'p': 83}
-
id: 5183798
{'charpoly_factorization': [[[85264, -93440, 51200, -2112, -520, 192, 128, 16, 1], 2]], 'hecke_orbit_code': 13511211232527360, 'p': 89}
-
id: 5183799
{'charpoly_factorization': [[[376, -304, -148, 4, 1], 4]], 'hecke_orbit_code': 13511211232527360, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 4, 'label': '1024.2.g.d', 'level': 1024, 'portrait': 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Dx8LRDWMD9lmJtMWO4EdAaCYeyx0hdsmjQstQ3Hzylqns+mGdg2H7JxdsiG2RGbZkds22i5YJPi8u0eddXkyPEJvvq0z6P7Y548FpGoLt/6ijbvfJmlrmbZf2yKI6c1p84nnE3BfXDRcsOVC/zce1fYPjfJ6fNTnF+psdT2WG5LVroJ3V5CbyjYf3SR/Sfalz+x//wrj5w4c+HRU+e+ePPrvyO899aPv9CQ+Lpu/6AZfHmlTRxbpOSX73700Mt+5jc+Lt/zsoMv+3fvPK0XVjay3J5gqd1gqe2z1NYstWG5nbDcjlhaTTi7CoeWBPNzq/yX9y3xkt0NTpyb4fT5JqcXNeeWLGcXY04uJJzvxkzNDHn51T1uugx8WSdQAeeWa5xZ1JxdFvRHEMeGmm9o1hKmJ2MMcOxsTKcHOzZ6NOsjrBUgfHoDwwWbRiytarBOiqz2YBSDxbLcDtm6waM7UAhlEWbERM3jgs1DVvuCY6c1idHMTkhaNUHgQRwL+iPJ2WXJmSXLuZWYIBiCF3PzFT1edqVgfqLO0soEJ84FnF6Ec4sx55ZjTi3DoSXL9Vcs8ovvW2HT1ATHz85wdqnOworPYluyvJqw0olY6SQsdw2LXcmJDqwud/jA/zmK3/vm2n165oeN17jiPoH5GYtHUJt4oaHynLd/sAz+wT/7OC9/6Yv59//+J37pr//2K//nB//qyxc/c6x94cHTffnyq/pctCUhMRprFdY69sZKQAICISxaWHwJp5fqPHhQcvWuZS7bPqRRA09LfE/h+5pmXdLwJP2ex76jNW5/1OfY+RGdOGLfiREbZ5d528tXuPriLtdf1uboYsxiX9AIhhw+bWl3mlx1kWR1mLDnqKLV0DxzDC7ZYhmGCcPER+uI6RbsPRGgdIInY7QHg5HkJZf1GfQlV1+c0BkkHDvdYucmRbMRsjqybJjqs9Lr8NGvwONHEp48MmTHliWuubTD9EzIW2/u8h2vsuza1CKJpjhyapJDJz1OnDWcPB9x8nzCofOC46sRL9q9wH95X5eNU1OcODvDuaUGC6s+S23JSjuh3Y1Y7SWs9CzLPcG5vmKlE3PDZYv82NsXZE1z4bnTJ3YOBvGN9Ymd9Xpj+ktPPPQpfvcP/vqFhsy6t3+QDP6Rj36CG1+0XX3hzv3/+cixsz/7+DPH1NnlkIWh4kzfcvWOc3zgRxa4dleDc0vTLLUbLLdrLLc9ljualS6stBNWOjHL3ZjFNpxYEej6kJdeucx3vipk54Ymq70Jzi/XWVj2WWwLlttOIqx0DZ2BoTOy9IcxsxMRF2w0gCDwLCfPewgZsGODYucWy5YNfc6tjHjiQIsXX2Jp1Fd4+uAMrWZIGHrMThsGQ7j8giEf/soUl26PGY0sc5OSKBnQqgU8c3RI3Wty7e6YJw+HnFvy2TobsHMzXLApRKmIk4vgexYhLDs2xky3JN1BQK/v0el7LHcUy6uw1DYstxMW2wln27A0TLhga4/vfPUiL71MU/MmOLM4weJKjcVVzXJHsNI2rHYjVroJqz3LUg/OdhXnVmNeculZ3v8jS1yytclSe4KVdo3eaBKvsSvxG5t+aaF/yS9O+ieTV732n7zQ0Flz+wcF8H3791Ov1eqnTp284IknnnnPoaOn/+veAycYRpLeEFYHjlFOd2Ouv+gsv/Yjy1xzUZ3zK9MsrTZY6dRY7nisdDQrHWh3DavdmJVuzHLHcq4tON2zIHq88xVt3voSw0Wba4Rhg5V2jdWeT7urWOkJun3BcGQJY0uSgJKWwIN6YJmasGyYidDekENnQp46GGDiJm++MUR7qzyyZ5ILN8MXHox5xVUB59sDaloRJxEz0xBHHtqLWVpq8PLrOnzh/hY7N8PDB0Z4NHjTSwyxGPDUoYQjJ2to6bNxWjPdFNQDge8LlIDYQBhZhiF0+5bVnqHbN6z2DUs9yyBJ2LGtz1tvavPOl4VgWiytTnJ+ue70dkez0obVbkK7F7Oagnu5D2c6ioVOwvW7z/H+HznPFTvqLKxMsdpt0O4FdHua1a7Aa2wjaGz6T1u3X/Y327ZtOz4cDgeXXLL7hYZSfvsHA/Ajhw8yNz/vHzp48PsPHDzwO4888oRYWunKwcjQGxi6Q0t3AKsDyfmB5Ew34iUXn+dXf3CJ6y6usbg6xdJqk5VOwGrXZ6XrTkC7a2n3Ela7Me2eYaVnOd8VnGkbpqf6vOH6LjdfFrNjo2Ki7tHp1gg8CSjCWGKMwFjoDwFhmG4NOXDKYmzIbQ83GfXrXLzV56VX94nMKnc9OsW1l3gcONujvTLBTVf3+dIjARtnLHuOWf7lOzrsORqwcUZy+6OKl16uWO53OHxihmt3h9z11IB41ODmK3x2bR8yiHvc+oiCRHDopGaiodEC+gOJsYLEWKIYkAbtG9o9S7MVsX3ziJdd3ucNL46ZbdY4tzzJ0mqdlY47NisdQbsH7W5MuxfT7iW0+5blvuRsV7DYjbnx0gV+6QcXuGZnjYXVSVa7DTq9gE7fo9vXdPuKTl8QmZq5ePfVdufOXT+2a9fFf7q4uBDu3v0PA+T/IACeJJEMR4O3PfzVL1y82kne/9BDj3ijCEYh9Icx/WFCb2joDS3dgaA9EJwfSE63Y26+/Dy//IMLvHiXz2pnkoWVFu1ejdWuz2pP0+4q2n3o9iydfkynl9AbGNp9y0JPsNCDKBlxzSUDNs0k9PqWt9w04sJNhjiRaGkJI7jziRrHz9fYPB3z9KEamAaXbVNcd6khqPV55ECfhcUmV17YZGJqhfuf9LjhkhpL/VVWVibYtMny4B7F97y2x0N7NNs2eCz22qwsz3Dd5X3ufzphpj7FlRf3ON9u8+CzU9R1k+svtey+YAiyxxNHBBtmIs4tRNz1hMcwUkgJibFcuDnkDTeFdHuKLdOG6y6BMGyw3G6w3A5Y7Xl0+op2T9LpQaef0OkldPsJnb5htW9ZHkhOdQTtwYiX7l7gF39ghesvcRdHu1un0w/o9j26Awfu3lDSHQh6/YT+MOa6626IokT95Lu//W0Hm836Z33fMy80tl7wTOZo2CccDd538ujDH1g8u3/m9NlVWk2JGrlA0VqFzX/bWYBCWKS0SKl5aP9GfuaDmne8dJnveu0yO7eGnF2aIPDr1AOfRuDRrGu6dUlr4DHZ1O6CGSRsHBkGI0t3GLC8UOPkCUsYG06djQkCCwh8ZdFS0B8oBB5xX/OiCwW7tlgu2NpnlHS55SHF3oPTvPHFAdddvsKHbrH4osGFW/s8eb9i65RibqJPTdUJI4/zXWjWNNs2Ch7fG3Ld7jqvunaRP/vcAN9r8fobLV7Q58sPhnzhgSbPHqlz0ZYGF25OmJ8O2TkXcdWFCUoZtLKApREEzE8FhJFHt+/z9AHPlSgMHBB7A+gNLb2+++7dQUJvYOkMLKsDWOgrzq1YGpNtfvzNC/yTl4645qImZxYnaPdqdHNwK3rZvzkUDEaOAKIY7rrnQa/emvnA/IaNy6991Y3/rtvt/1mr1XhB8fWCAjwa9UDwA6eP3v/Lh5/98syo36Me+FgkAoFbYBQI90wIkMJ10ihpUTLBl5InD8zz2P4mB06f5x0v6/GyK4ZMtSZYbjdodmpMDHx6fe1OzlAyGGr6I81wZBmGhjCyRJElTtw9jH2sAakEnhbUfMFUSzDdgk1zhm0b+8xNt/niI3D3Yx7STPLGF3u86LIu9z4bEQ4neOmLBO3BgPNLTW7ebZib6lPXAcNYsdCJUEbwot2aRmvEo/tqvPK6SW66psuj+xTYSV58hc+/+NZlvvR4yO0PNdlzvMYF84pNM3WmWw0mW1APwNMWJcFY2HNEkCSCKBaEMYwi3HccJQxGhuHI0B8a+iNDbwCdESz0JOe7MDJDXnftMm97WZt/+npDHE9wdrFJp1ejO/DpDTx6A0V3oOgPBf0U3MOhYTBK8n/7zOIZPvyxW2YGo+S//ZNveZXu9PofnGi+cCB/wQAeDpcRwvyLcyfu+uUzR2/fgO3RqPsImUAKbYQDuhAKIQRSkoIblLJoZfGUoe4JFvt1PvKVbXz5sQ6vuGqV975ulat29pidarC02qA7COgPvBTYyt1DwSiSRLEgjt1Sb9PlQkmL1lDzoVE3zLQitm7oE9PjwKmIj95V4/CJJlNBnRuu0Nx8dYcH97e57asT3HhJjQs29/nwVwRKBEy0IlZ7I4wFJWB+ok+n62PiOm97xXk+8oUGu87VeOuNfcJoibuemiVKarzkig289YYOl2xv8+VH+zx5osETR3y2zUhmJgSNQOB77iKUAoSwGAvGWKI4vVgjyyhyF/IwhEEI3aFgZSRY7oLQQ669dJX3vmGVV1yRMDtRZ6XToN2t0+0H9IYevUGxEvRHksEQ+umFMxwmDELDcGQZRWCs5sy5Dn/+0ds3jCJ++Z3f8nJ77vzyH2/cMPP/DoDb1Z+n278E0/nI9/X64fu75/bNKTo0agFCJOlvCURK4EJIhBAIIVFSI2WCUiJdng2esgTaUteClaFiqT3Nx+5s8sDTPV56zSrvff0q1+5qM5vUieOA/rBGb+AxGGnCSBHFkjiRJEZgrHBZUGEJfEOjFhP4Ib434tTSiM89LDl40ufIyWmUCdi12efynYoXX9ZBBQs8dajF1qkGV14Em+ZXWO5McNVWSWwsX3woYNSXTDVj3vSSIZ+9K+L42RaXXuxxZnXIM4c9tm+c5pqdC9z7ZJf7nxGMQp/Lds5w2faAy7Z1OXRmmYOn4KG9DQ4cbtLQgkBLmoGl5oGUjhisdRdrnEAYQ5gIeiNBZyjoRBCaGGOHXH9Jh/e+ocMrrkrYPBMwHE6y1K7R7QX0hj79gaY3VPSHisFIMBhKBiPXNzocJc7jHzlwD0LDMHSOTmQUx850+L2/umPDV/eee3+94cf/6f/59If2HTjGR3/9X/7jBfhP/PLvweSvEra//5965uBvmt65KV81adVrDJXMJYgQpKyNY2spUEqglUofDVoleFrga4PvWQLP0vATpmqC7shjpTPNJ+6e4CtPDNk43ec9r25z2fYhw0GPK3datm9SjCKPJCnS/AKLlAZPJxw7ZzlyVrA6MHz63ganFqexocd0TbFlVrNjk+airXDlrg5GLvKHn22yvDzJjZdprtzV5stPCETssWFa0mzE9CMfaSVYidI+7aHg3LLgCtvg1S/uct+jdbbM+dx45Qz//FsX+dMvdHloX5Pe0GNptcXOLXUu3dznJbu7fPsru5xeXubT9wYs9QOOnfE4dcrHUwIp3apnrCUxEBlLEhumZyOuvqLPaBRx2fYR73r1iA2TiplWQBTVOLNQoz/w6Y/cKjfIgS0duEeC4Qi3EowShqFhFCZOAkU2BTkMIsEgFPQTzYmTHZ44fM/clRdN/+bNL94SffTXg79aPPbfmNvxH/7xAfyH//Mf0Npxo/jef/8T79429ewffeer9zeu2umTGA1It8Tiltlca0snFaSUKCnRSqBV+qgFnk7wtcD3DDXPUo8sjdAyWUuYrgv6oaQbNjlyssmv/tUMmBgRx7z46j47N4XEMRhrsNYlcaQQSCXQns++4z57DtZo1jQtXzLXEMzPSjbMaLbMK3ZsTrh0xyqJWOK3PjnBseNT3Ljb47ILEwZxl68+FTBV95idtEy1Qhp1J4WMkbSHiuWeZamd0O7VefmVqzy8p8/e44qpiRovuWKKH3zbEr/9KXj0YJPewLLa1ZxbnmDTXIMN00N2zA75iXf3mWi0efII7Dsh8TyLUhYhDGDd/yzEMVy4KeGlV8UkkUcUB1jbYBh6nF30GYzcijYMVS7fBqFgOBIMQ8fao9BlZUcjwyg0DCOTvmdz5h5EgkEk6IaClUjQjQ3JYEg0eGbqn9y0+Ee/vbw9ZvplH4sXf9XquZ/6xwPwf/lLH+GC7dvU008+9M79h09/6C8fOVN7fO80v/qjHS7b3s0DRyENUgZpAOmhlEVJhVIq1dsSTzvN6XuKkScZhYYgTBhFlnpkGEWGMLRMxDCKDKMYwlgwjCSjJCBKauw92OSJvZBYi4O208aeBF+5mo9WAFduhok6TDYl0y3F7JRmwwxcsGnE5vlVIrvMb31ykkOHJ7nuIsVF2yS7tq1wxzMx55YmefFOyfSEoeYPCGSAVYI4kQhriZOQlV6Nc0se111W50W7u9z7aI2N04JGrcV1uw0//s4lfvNThmdOtVjtGVa7ioUVzdxUk+mJOtMTk0w0IuabETuuCwm8GE/HKJUghQsmLO6iiiLF+QVNFCuiWBFGilGUPoaSUSQZhZJhKBmFwgWooWAUWkahO66jMCEMU00fufeHIQwjwTCCfg5uSS9MMMMeL7polV/50WXedM3JRtiPPxQPPDOIr/lk+8TvJpPbf/SbH+C/9IG/ZmbCV4eOH3rXsePLf/bwnnM1WjPc8kCApwS/+ENtLt/eRckEqQxSWpTyUMq4R2nxlMXTCk9bvFDie8KdBE8w8hVh5IAeRZYwTpwrEpfuCcSJJUkMicHpbUMO7kwKaQmeB4EW1AJBI5A0G4rJhmR6UrBhJmbHpj6t5iqfvC/krqdmWF2c4OoLFDs2e1yyfUgiVvniQw2anmZ+WtFqDHnqEDx7WHPVdkt/pLjmkoird1nOnklYWPEZDBu8+YYu9zw54MApRbMuCfwJrrrI8Ivft8Sdzwz47J1zLHUsOzYkrLQ1UxOKyaZHq+HRrFtqgSHwDYFO0MpJLZm2VlqLS1gZQWwkcSKIY0EUS8JYEEWSUeSclzAShJElDGEUJYSRISwRxygq3x24Bym4O5GkHUF/FCGjHtdduMJ/+aEl3vKShP5wimF4vGbUzF9E4uQ/69pNHz/27J8nO6543zc3wJW08vxy57tOHj/1ewcPHK9NTtTpxpZIaD5zvyIMNe96TYd3v67H9ERCVxq0TFKd7fSwpzVepAm0Yug5phl5ktAXhJFwJydSRDGEkXQOQlzYfnFiSBLnLiQ2dUpStyRzZ5R0ssfXgsCX1AJJsy6YaFimWoaNMyPmp7vEdpWP3SP50y/MsqFW4+oLBBds9rhwi2HH5hU++VXL8nKNyzYppieg1Yg4d1RyfiXA3wmjSDA/KZmaggNHLCsdw9nFGpdcWOO1L+7yubtrzLYg8H2UnOKqXYIfeut5PHmez9w7zbOnamzsRGyYiplsKlp1RaMuqQeawIfAA62dwyQFSFECOe7CTgwkiSBOSIEOUWIJY4iixJFCZAizx8iktmPmyqQWZOwkSS8SdGJJNzKEw5DJoMN73rzEu1/d440vtrR7TYZhnVHo0x+crBk9+Ud+I9BCen+N45lvToD/3p98isSY73v6ocO/tv/A8YmZusaPLFoIOsJnJCVffMjjq8/UOLOyxL/89j7TEzGjoEanX0MrH097eNrDDxNCT+OHTpqEkUulO8YRjolSVopjiBJIEuckGOMCLmNs1sOZgtsB3AWuAk87gNQCaNQMrXrMVCtmfmrA3PQq9+0N+Yvb6uw7MsWFkx67NsG2TT7bNsKlF3Toxx0e3DNBXXnMTyumWjDVGjE9GeP7Ok1cwWDks9yJWO1b2r2Y8ys+F2xqcdNl57ntoT77Tk3QCCI85SPEJLu2Kr739Ytcf+l5/uK2Fg8+PcVST7NhImaqEdOoSeo1ReAJAk/ieS5WUYrUPnQot7geVmPIgR4nJl3dUmsxNsSJA3ccQRjb4h45V2YYO1LpR4JOLOjGMBzGmHjAbL3Dj33HMv/+u3s0Ap92t84wDBiFAaPQYxR59NvHJ+qR/K2p+av8Q8988k93XfnObz6Ar6y0UUr9wO/+8Sd++eixk7OelgjpwCUFKcg9BlKyOtL82t947Dm0wtte2ePV13bZOBfS7dQZjAJ8LybwPUahJvCdvZcBPIokYeyW3ShOPe2E1PojZW6JsRTgdknKlLlBK5cw8T1LzTfUazGtWsz0xIjNcx3Otfv8zqc9vvjwDMsrTS6eF1ywQbB1g8+2DYKdW4Zof5WP3KU5fKLJ7o2S6ZZkspkg5YhTC5ZAu0DaWkEYaXZs6PAQCZ2+YqVjObdcZ/e2Gt/+6jYf/7LP0XMBno4QwsPYJlEsefHOFXZ8d4cvPtrnw1+c4ZGjTbZOC+aaCc1aQs0XBJ7A91ysohUucJYir8mwuIvMWJzTkjjAZyCPEyfpHNghTFytS5glj2LBIIZuLOnGMAgNSX/Etrkur7puhbe/ss9bbjBo0WBltcYoctnVUegRRppRpEmMYnnp9KzXuOj9u6/5djXodz5Yb/zvqSn/3wLwpeVVtKf/+WdvueuXH3vimQ2+tigpiGKbAsu99qSgJyVdWaMdaj5yR407n+xy3WUdvvv1fd56Y5vZqYDBMGAw8gk8jzB2ByoLlOJYESWSOJZEiSCOJUkiSIwotLYR5KrEZhlRlyxSabLI9wyBn1APYlr1EXNTPQbRgC8/ZfnoHZM8+PQU077HVVstm2ckG2d9tsxLtm0MuWjrCk8eHfDpe+aZVJr5ScFEUzDRiGj3E77w1Rot37lDxsJgpHnbS0d8/gFXE9PuGc6vaLZtaPGOl/V4cG+XPQd8mkGMksKB3DQYhk7rf+9r2+zefJ6P3Nnh/menOL5SZ9OEYLJmafiGmjb4HmglUJI0Qea+d1Z+ZFKpZkyxwsUp0B1BQJQIoiQFdiIYxoJ+LOgluJgnDGnW+7zjjct81+s7vHh3wsZpj8GwSafnE0Z+CmyPMC6IKUpX3tMn9myoN+/95Qt3v9IMB+0/qdW/8WPlvqEAX11dZXW1h5Lifbd/6Z7//tnPf3l2dWWVwFMkSaoJpUWJjMXBlxBI6EqPvqc42Qk4/UCDB57q8fGru7zrtQPe9NIhM1M+4ShgFLsDFsWaKAV6nCjiJE3YJAXAjU2Z2xQ1ZZkNqaSr49Da4HsJgR9RD0Ja9QEJA770qOSvvjLF00cmEVHAhdOWzVOWuSnF/IzPpjnJlvmICzZ1OLHQ5fc/2yQe1dm2TTDV0kw0YaIRIbyQzqDJVMsihMBaiGLJTKCITUw38un2E1Y6ilMLda64qMUPf9sq7//rgGMLTbSK0gtDE8c1hqFk02zAiy/ucPVFPZ45doqP3lHntkemON2u0wwULR+ansXXFk+Bli6dL0S1us4A1riLLjGCxEKcCOefJ4IwcUmiQSIYJDCILXEcY6IRs7UBb37dKu95XZdXXBUxWfcIoyYr7YBR5BPF2gE7UkSRJszdG5kn1/rDNs88ceeGMFL//cJLboxXlk7/ufabtFrfOKB/QwE+GAyYnm6+/cEHH/nt227/8sRo0KFZ144VpEiDniL40dKiE1fM5CtDPRH0lU8/1pwf1fjMA03uerrPS27v8a++o8vlF3TYMKWYaGjCyCeMPeK4AHmSAdxIjJVY6ySBzQPKNNWvrAtidUzgx3gqpDOIWOhE/MYnaxw5P82je6awxme2LtgwZ5mbFMxOKGanPDbOSjbNxmyd7zM7tcIXHzM88uwUV28TTLckrYZkomFo1kOENyIINFq5v28tJIlkMNIMhhGxEXQHhm7PstzxOLs0wc2X9rjpilU+cnuN+rJCy8gB0mrixCeMXI/n3FSN63f1uP7iHg+96jTHFiR/cdsU51cbnFwK8JWk6Qn8TIZJm+cbXMozlSo4Jo+tIDYQGcEogWEMobGQxBBHSDViy/SAq3e483HD5QkTdU0cN2l3HbDjFNgOzDqVjcoBPJJEiZOVcSKIE0Wn32PlgTtnh5H325dcdu3KcDj49DcSk98wgB84cIBNmzapj33sYxfv2btvYjjo0Gxootii4iwjaZGJQMXW1XokoBOBpyx+bKklgoYSDJSgrwMGicdSWOe2Rya579kBzWDEP3tLm22zMRduGXDzlV20cC1iQji54rKSrlba2hJzYxHSooTzzC0xyJhnjkge3qv53IMtnjneIowbtLRivm6ZaVqmG9b54BOamUnN7JRg00zMlvkBm+dXuOvpEX/4uQ1sntLMT8BEUzHRFLQaMfVgxH37FcNQ4zUdqKwVhLGkphXX7h7wwFNTrvBpkLDa8VhcDTi3OM0Pv/UcJxeXeODxeTwJiAgDOYBGoaQ30Ey3akxNNLlpd59XXd3nu1+zwN4Ths8/WOPBvXX2H24SC81opOhHCpWXPpQDzzQnYA2xsVhj8ETCpB9SI+Km63rs3Dxk21zEe980ou5LmnWPMGzQ7vrpSqpTwlG51+7ucs09TgvC4tiZA73VDl/96n0TJ0+eu/jb/sl3qKNHDiUX7tz1Dwfgz+55lumZaf/hhx/+/jCMfm1lZYVazSOKXQInkyZSCqR0jK1inERILDoGTwo8YwkSS00JGolgZGCYeAwSj35So9tN+O8fmcbGERvnh1xxwZDZyZh3vXbABRtCokikeltCiblJ9aeUBiEFn7izzpOHmgitOXa6walzDWp1xWQgmGpaJmqGiRq06oLJhmKipZhuaWanYG4qZuPskK0bOiR2lU/cM8Gg1+SSbZaJhqLVkLTqhlYtxvNCvvhAjVFf4m1w3aKZRGnWFW9+yYC7HzP0RpLeIKHT16x2NWeXGly+s8W7XtHh0WcaHFtuoaQBolQve0SJYhS5xExvqGn3fFr1Bs36iMu3Dbnx0iEnzrc5emYV7SU8cVjz8TsaCOUK1xifP2gNYMBaojBhx8aY97x2wNxEwqU7LBtnIYk9RmGLOPZY6XjEkSJKdBoHOUBnAHcxURnQmQGQevBJ5noJEqNZWlxi85Ydv/bkE4/2t2zb8af79+8Jd+++/B8GwM+cPsnK8uLukydO/s4jjzwkhVR4WiIwCCGRwqbZSYuWEKdsHhuBjp1OjBKLlzgNGGhLLbHEiSA0ljARjIxklEhC4xEZWOhNcMeTBkvC3z3oRjZgTXrPsnipRSayikSJVIo40kij8bSkFcDOeUvTMzQCQyOARiBo1iWtupNDky3J9ATMTsbMT4/YMt8lYYXf+Nsa9z61gV2zMN1I2bshadVjGvWQZmNAvd4gUBIlUw2OkwNR5DEcCAajhO5I0RsaugPjWuaaPifPTfLyK0b8+LvP8YGPa46vBghhsDbCJJYo9ggjyXDkylhbA02z5tOo12gEDWpBRKse8uJLQnwv4oZLYt77uj5axWkSyCCErYryVNIZIxFCEngK8BmONEsr2tXtJFnMk95jWcRAqbbOwJ0BOwN1nAatxWty1ysxlkcffUgaK3+n3e3fE46GT38jsPm/DPDPf+7v0ErXjx45+M4jhw6KWqBdK1Vi0kpAS5I2KCjlEjBSWVQCKnHaME5AJ673Mc4i+iSN6rPI3ojitRGERhJbSWI0kQlIUturfMuzlKktqSV4Cmp1S01baioh8CDQUPMt9UBQ9yWNuqRR0w7gTcFUyzAzETM7NWLDTI8tG5b4w88ZPnzbRrZPKeZahommotVQNBvQqCe06hFnlgyHzgTUfHdBQ1bpJxiGmp2bDJvmhnSGPoOhTVlcstrVtOo1Wo0p3vu68xw+c5Y/+vRWtNRYDIlJiI0lijWjUDEIXVFUvyZpDDX1wKMeJLS7LsbwvcQlzLwELV2jhJRJWtjm7q50xZVwOpAL2iatsjQurkkSiTGS2BTxjtPSWYCfPS89xiJ9PwM36c+FO98xRGniKYoEjz72hNh9Sf+dOy/aeejTn/67wdvf/r/WyPy/DPBa4PkrKws/ff7cuZ+OopEMfEmcgBQSaVzpaSwdwBOT1nIngiSVJ7EBnTi/OsmSD8amr23+XvG8qJRzXq7IA6Wy5gYqQa2WBi1Ja1rAUwJPW+cba0EtkNR8ST1Q1GuKVl3SalgmmwlTrZiZiRFz030u2LjEg/tHfOTOLUzXAja2DBMN4cBdlzRrhmYtptUY8eA+eGJvg4vnbap7i7T5YKS44VLLJRcMeOjpKfojy2CY0BvoFOQejVqdem2K73zlMk/sP88DezaBVRiTuHLY2BJHNq8nGYw0jaGlXlPUfEPgewR+QqANWid42mWHlTJpEZs7PwiLoNBzRXDuSohN5kiZzH4tWbEZsE0G2uw1ObArgDYpY6dWZJyfe0tiBGF/KM+fP/+fm42mX280fgkIXzCADwd9ORoNf+Gzn/7Iv1tdOetrrbEpsGIpXECZgVu6L5Aoi0qTComyaJM+N66B1iTkz5Ms42azzJvFpJm4LFlhraWUea+suJlbkyV0lEwzlopS0ZbL/gW+ohYo6oGgURe06paJRsJkM2aqNWJ2csCW+RUe2DfgF/5sI8dPTnHRnGGqARN1RbOuaNagWUuo1yJ8b0h76IrFPOXij+yWGMdwUewzUY/ox4Z+WmfdHyZ0+5J2XdHoBtSCFhduivjF72/z8x+SfHXPRiwKYw1JYoiTmDA2hJFiGCoGgaQ+UtR8SeBbAl8RaIPnOb9fK5vW+aSraipThLDVBt00tW9TErFpLUuSAj4xxaMDqEwfRQHw9HmSszb56uyScCUiS6zLNAPHjp30tVf/yfe973u8/qD/nxr1xt87nf/3Bvhw0MHa6Jf2PnPPv+msHK9NNFUaAAmMBGUgke6KVVIQqwzIFiMduPMvlj03AmNsnkY2uUcL1lgnfdIS0PKdMYCnsjsNLJ1EcTXlThLptBXN05LAdwOAaoEbyVAPLM2aodVImGhETLZCZiYGbJlf5YG9fX7+T+fYd3yGHTPOYWnVJc2GdOxdtzRqCY1aRJSE/OXtLaRSeKn3nzO4zZZwj+994wq3PhLSDQP6KcB7A0W3p2gHmpofEHgTXLo95r/+iyV+7k8F9z+9EWMliXFp9Sh2hWaj0DCquXLXIBDUPEHgu8ymr22esdXKOJkoi7LkHOBFyhNISQSXS3BuSxrIZwBOpw6YPLlGyu7kK26yHrBzgKeYyO7WJZr27jtSu+WLd/7bb3nL68Tqaudnpqb+fpnOvzfAl84fwlpz06mjj9Y9OUIEqrTcpF+yBHRlBIkUJLa4Wh24s+Wp+IJZdi1rv3JAF66OIgN1duDHPlfRu5nWmUiKYqq0jtwBXOJ50tVv+IJa4GaeNIKEZt2Be6IZMjUxYH6qzYN7+/zCn8zwzLE5tk0LZpslaVLTNGuufqVei6kHIZ434tTSNJ4SKGlSW64IMpNEEseKzdOWOI7oRLW0U8YwGCZ0h5J6X1HzPXyvhqcnuWxbzH/95wv8xz+GB57dQGKkA3hiieIkZXLDKDDUQsnQV7kE8zzwdOpcKelyATJ1twSI9HEdjDu5QpoUQuTJIZMmh7JscZKU3jeF5ExKwDamON85Dsaex4llFA65856H6jsu3HGTlH//HSf+XgB/5rEvMhgkjVOHPuvbZIVaIIhig5IiZW1IVPrFUqCb/D0HdGMsiSb/YlVgZzLE5kC3mRzJnj/HZ5OiKKKSEqQUObiVlGmjRCZPoOZB4BvqNUs9cPq5UY+YaIRMNQfMTbd55MCQn/vgNE8dm2fLlGK+aZisC1o1SaOmaNQF9Zq7OFyqP+SBPYLe0KemSC+ytA3PFoFmFGuaNcXNV3Z58JkJ+pGTKYNRQn+g6AaKwFf4np/q5yku3274lR88z0/9Ady/ZwORkUTGpM3SRQ/myJcEvnHs7RV19Fpld1KZUsi4rJtqPZBnSSGbATwFfJI7L6y78ppUgpgSiSWJTX++HtCLcoHT51b5oz//jP+D3/stjY98/PP973rXt/zvB/j5s8eYnN429fSjn/z9wSB8pSDB0yqXA4kEmV2x0mluU1q2HGMXV7lRYn3WLgHa5MAumoJJtXd+MkTahy9TcKdFRioHOKi0YtDT4Hu4TiA/LbAKEuqpvGjVR0y2Bky3Ojx+cMTPfXCaJ45uYNOUZr5hmKxDsyZo1hWNuqKRs3dCLYhpNYbc9YTParvG9HSRJs8AY1JtGiWKDbOK172ox10PG9dFE5oSyCU1T1LzNJ720bqOlIbLt1t++QfP81N/YLl/3wYio4nSCkBX9uqYPIhkXl3oa4nWaRGWFCidHRvyz5ddhJlUEVlVGkVCaPxuSo/GlB7zlbcK7nJlZzL+OikMhjhJS3dHg1c+s/fwH//Q97/rR248fHR110UX/u8F+KB7mnCw8FPt5SPf1e8toZQGbVJQSZI0oWPKS5QRqc7OrvLiis/kR5LLEHL2rgSS48ydIj3LyOXaW2YVdIXuzioGtcLVZ2iL57nG4ppvqPkJ9VpMoxbRrI1oNYbMTLZ5dP+In/6DOR4/vJENUx4bGgmTDZuCO2XvmqQeOPavBTGNICQ2I7phgFASL2PwXIOLlL1SvzjyaPpDVy4Q1pjOQD5M6PuOwQNfupp4nW1Aa7nqQsv7f+Qc/+H3DPfv3UhkNKNEECYmZXFBLTIEnsX3XO+qTuMOrVyJsJIyPT5pV372WCrMyi/McqwzBu6chErEVAZ3HlfZ4nn5vaRU0py7ZYljq3Pnl3h275Hvuuu+xw6FYfQf/7cyeNg/ilffuuPZh//wahudoBYIrDV517uUBmUcuLKAswgcRQ7upFSTnI1Gs1kwaYtArGCKIitpy2tmxtrloDJbbtMOHZUGU1qnnUFpEVJWPVjzklQ3R9RrI6Yn+kw2uzywJ+Zn/nCOxw5vZH5SM19PmKxZWim46zVnJ2bgrgcJNT9mohmy56jlzkeb+FLiKZMGcYVHkS3fUaKIjebVL464+KIeh47XmW9Q9DmOEvrDlIW1QmsvT5gJYblyB/zKDy3yH//AcM8z8wyjukuGxZZGWsMdeDiQ62z1Mnlvq1RJvsIpKUoAFyWQs0avFCC3VYDnFYrFyrveylyweyZfCmCXZU5iLAbFswfO4N/68NW/8DM/tOPpfSePXXXptm88wM+dO0dnNH1h/8xDvx4Nl98u6eL7HiYRSCNQJUArKUsyJLOXLCbJ5IhYs6Rl/rDNPe0xl2SNW5Iy9zi4hUWqovZFyXR+SsrcvjZ4niHwDIEfU/NjakFIozZiZrLPSrfP3U/Dr/zVJp48OMdcCu6puqVVFzRrIvfKnfNiHHv7DuD1YESYJAwHNWrKXWRSlJZ+Ms0q0kBTOy2vR4xCyyASJYAbfD/B9zSeJ91UAenlAEfANTsFv/IjK/z3v465f+8sp9sTDJuSqcTSii21dOJA4NnU+8+cFJuzdyZVRF4QJ/I4htLnFqXjb9OTkq2qBbirktJVc5bAXgF6Zv2uA2xbSNnO6oCzCytvv+Ou+5M3v/pF//bsmdNHN23e8o0F+LBzBO3Vb1w4u/edS2cPEwTKpY6FcA6JTR9Txs6AbcpWkhK5JHGgFunSliVsqlKkDPDsEJdVYXYS3LgHSjUvKbjz4UCuLNbTJh0zkeTgDvwU3DM9FlYG/PJfNvj0V+dZ7E0zPymZr6Xgrjnd3UgDy3ogaQQ2ZXCnvWtBCIR85XGflchnNqBSj42orlBJ4pofJgLNa6/r88C+kG4UMJl3rBv8katV97UDuFauIVtIl6DBwmXbJR/4Vx0+/8CAX/qTjZxcnGYwpZnyBa3Y0IghiNzoZV+5gUZeFmhKkQfB2WM5UC9fmELkvSL5+YExCVkGdil+MiXwl/MY64LcloNVgZSKZ545wGMXbXznzFTzL7u9wdFvKIPHYQ/lNS45f/yufx12HiPwBVrZtDvEgViNJQJy6yjNgGWAzrV2DupMgtjChhpn7bIsSQ90xixZujlzAVQGcGVdOa7Oejtdf6fvJfheTM2PCPyIVn2A1n3ueiLhj78wwefu3UBoJtgwIZirOVniLMDMJ1fpXaTMXWbvCK1H3PfsFP1Qs7mRfZ5xBs9WN1dKWvMUN10+IDYO4INIuK71rHN9ZFxwqNPZMKm9J9LkukUwNyX4rtf0aAWn+ZMvDLj72VnORnX6NclEbGlq60Cu0zhE2TQusSnIs2MoitpxCZKCxcd3FMylSjaignFtXu4eKmrPM0ZP1glOkxIBZv+dO+mK2+5+mssu2/2v3/mtL3+s0+0fmPg65h5+TYDHg/2cP/55vGBqy6C991W+PI/f8CFN49o8lZvKE1swtzFlSVKwd0WOZFqbNJlQAXbJeijbV/lwoNK8wqyRQmaj3Uxa852CW7lajMCL8P2ImhfSaAzx/T5/dZvmV/98A4cWZvCCGptagpkgYSKwNANoph329cBlO2tpQsjVryTpSuDkyWInoRf6+ErhS5sHmJS+SnZhZ7UbYexR94Zsmhqw2m8xiEQ6bs3FCp6XpDafSu1O5QBeCVxd5ePbX9HjhisW+JW/GPLhL86zHDfpBx5NTzKhXQ1OoMFX5M0QOkv65HNoRJ4FzhJAZVKpipUy0KmswMZWpWahzcfua8yG6t0RoGbpVIc7Htj7qv4o2bKw1D7wyLPHuf6KC/5XGTxh84WvuHCw+sQf9s49RKMel+oTMiC7+mtlJLbE4tZWJYo1RX1DFjzmBwFRkiRiTJpk4LYFm6TZN1kGuLQo6UZPFMydpCCP8bWTJIE/IvAGHD0X80efb/Kpe2Y5fG6aiYbHTA2mg4RWYNPUewZumYJb5kmhWqq9A99dOBPNEZ+8T3PgWJ1aOoErbxejQHk+xsE6HR7Fmst2wLfe0OWPb5ml19BMpLNHgjCNG5RBa5mOraMEcq9EqW5VuGBO8jPf0+fqnSf5g8/NcPjsJMtxnb6naSpBIwW6L627cFKXKV/9suOa2Yc4fV5kOu1anzwjpqx0IvfN11qKeReRLa/ihTzJwZ79jnEZ1KHRfPrufbzo2sv/8Nu+5WVvWVjqfk2p8rwA7/RGLNd8Gkt3bEv6D+8K1BlkreEaVNMKM2MkxphUfmSglvk4tMIlETmgM/DbMntbkbNAwQoZbduKDsyA7R6zUcoO3M41ydg7wdOx69zRMUEwwtcjuknI73zM508+v4lTS1MYVWdmUjHjWyZ9QyNl7kaevpdpnUoqTVLvPAe377KXoyjkwMmAXhgwHaQuTpZ0ylyJLAtrSzUpkWaiqdm5LUQFQ7phi4EvqEeWUQZwnaSJGuV8bJmVAK8XvCrmJ/v88Nv7vPPVZ/mTz3f4o0/MsjhoMtA1alrR0IK6sgSxdWye9slqWZQ3ZFnONUzOOnJl3GEBKrFUBt4SkWUgL8AtCv2dlgXE6euREQyM4uzpNrff98yuyQlv27ve+JKj1g4Rovb3A/jRk+fw/an5Q0v1j505cJf3phsiuv0QlRjiRKXgzoAuUNYxuLEmZ/ecsU0haewYgxeMLZ4jQ2lLdqDNgV2RJzKtklOJA7hO0CrB9yJqfojvhbSHIfc9Kfmr2yb4xD2zDJMWvu8z6wumfEPTtzQCS8MvwF0LJEEgCVJp4hJDqTORAtz3XObzyBnL3Y80CCOPoGnXBJjZrUhnOzIII4XnaV53Q5ePfKnHvpNNBjU3mmHkWfwYvMjghQalpPOtpcs75MN9KI5nYiSxkTQCzcapAf/hO/tcfsGID9/W4uE9kywMmgyVj+dpalpQlxBkA5Yye1Val08QlEBerVkZL84qM3pGUOOOWPZ6nKkLSZKCOsv2WhilAI+NwSYxqwu3ejdfdtXHYOlF8bCz8Pdm8Kt2z8v9+5658YnHvzA5V++htcX3lOvSkQqTKBIrUalEsemjSQFvyzrdVsswXX2DKNWVVBm8UvjjenQck+cpZZOXezrdbdEqcQBXSS5HtI5o9yLufVrwZ7dMcNujkyy3W8h6jVZdMeVZJnxDw7M0fEvdJ2Vtx9z1QFLzFTVfUPNJK/RMCm5D4Dn9rfSI/SfhVLvmEiupvq0mTor6GdcH6UAeG0kYajZOCC7ZPuCp4zH9yGOUzvj2Qxz4VDZZN0vUuLLk8i27eDIbMkpcffh7XjfgTS9Z4cuPdfnQFyd4eM8ES90GbenT8zW+EvhSEEjXCK6l26VOieIiVSIt+12HwdfUr4wzeYnQDFV9nZAmBDPWNhBZiHKwW4xJwERghhB2ue2O2yavvy64ccvmK2/heYYHPS/AR51jwQUbR7/3na94otkIQqJYuy5vLNIYEpk43W1TqWILgJfBXXluMh1aAnjpgFR4oSJNbKVA38kSk2pug5KJG4ifuRkyYqEbc9cjmi/c2+LTd09yvtNE1Gp4LY8JDZOe6+Spe6SyA+q+SO8yLTlNdbcvCDL2zgCuY3w/puaHWBvxlUcDjp2pMzcj8GTWqieKRt8S29mShZokisHIY8dGweuu6/Opr4b0Io9BJKh5rl/VTydLFauUyv1qN0ed4rhakZ+TTErGsaYejHjPawa84YYl/u6eLp+/t8FdT7Y4324wED4DX6M9hRZupIcnJZ6wqdSyKERJGlbtw3XIvOKCFcwt8gA00+CJhTi/Fwxucm2TgI0dwFXCZ+6f5MHDS83f/QXxe73o1OXA4H8a4EttQ88M/mm08qWp2fpZlBBAjDEGKRKkUShbNPnaHOCyIkuyPSyz9yonAVzv5Do1gZWAsgRsIUxqB7phnZkc8XVErRYxHCXsOwVHTys+evsktzw8wfmVJng19IRHQ0lanqWlDXXPUveg5jlw1zw3k9CVmcrSXaQ/tynITQ5y33PtaYdOG546EoDnpcu8LaXoRQUF5SDM1Uu7DvNR5HHVzhFXbOux91SDQU3QiAVBZBkpUmvPpOyduSmZBVloldxnT61IY1Q6fcBjGHrU6yO+780j3nbzKrc+0uNvvtTg6Okae081CFcD4kAz1Bqp3FRfBej0MWPyXLpQBP9rbrmbUoDaUJIlUASSFgyu8TkX7TZxOobIgdzEaVZQ0D65yCNPPcbc7PNbhc8J8OXVFRGG4Y///p/vmbp4k+bG3YYbLovRXoKvYkykCEeKxCgsVRbPGKQAtiwFlCIFNaXHMXhnkXqu+VxSw0kSk+7ykBAEbpJqnCScXYLb79AcOlnnzgfrnFqpc+h0E4IA1dDUtKKpLU1tnIvgucH5Nc+Na3Mgzu4yvasU4KSaOwW3lxB4jr3dhRVyZAH2HG3gyao9mEsUinrw3FHI7dW0rzH2uGLHgEs29Hn6cEw/9mhFgpEGP3YzAVUJ4FIKhJQVJodx+03kwWzWRxklHiPPZ6Ie8r1vHPGKqzucWunwlYd8Dp8IuPXRBqeXaiQDDyM1ka8QUrqVIu3Kl6QZT8hly3ogrwSalLPUmduSaVRTuqf9taQAjxKIDELHSJXwkisjbrpkxCsv+dLc617/U//633zPofdLf9e64dtzAvx3PnQLUZzwZ5/qY6N5dm4ZcdXOkFfdMOSKC2O2zBguvnBEYCVJlLJ3GnRaWwZ6JkVSYJdYPGPr6iezpYi9YO1ciqgEL0iIEsvhE4KnDituf7DB00d8nj1SpzNyc/DwfNSER6AEDQUNbaiXfOBAZ3UaWdmsqwsPUlni+wrfl+kFYAvt7SUus+g5nV/zI6wJObcsGdkArSW+tOiSzTZG4DnIk5LjlKR+uEAzPxMi1ZBe5NHXwjkdUVEwppWpZCClKEWx2bAjipgoay3LBiN5icrHT/RHPpumQy7YGPHii0YMwgH/7Eibp4/63P5AjaeO1Dh8vEYUKwgUVioQkkSWskF5kmIdrVIR55kPnD2a0uPY3RiIDJqEXTsjts7EXLYz5NXXj7jqopALN1qsEc3Owj3fBfr9/1MMHi9/nKcPddW/+m97xGgUMQx9njgoeepgjVsfbDDpGS7YFnHVZSFvvGHEa68Nwbq2qHqTVGdLMII4coDPAskKg5cveesATTq/xNMWhEFISxRa+kPH6EdPSv76toB+pHj82RoHTwQs9nxGiQ/aB+WhJhS+FNQVNJSlpnDjzFRaeKQca/uecEmPMrg9iZ/KksCHwCd1TVzK3NMG34vTjGhEvRZyfiXh9vtbtLsB05MCnXrxWdGXeC5mM6WA0EhGI8XcrOJNNw+59eEBx9tNBp50MkWDF1u8KPOsU49dJs4upDzrROZ/w1hdKZlIEomfKBKtiD039iGKPGelehFNP+IVV8XcdPmId7xqyP4Tkif2eAxCxYdvb3DkrAdC0h9oklBl5ZtYnQF8zDIqp28rAAesQSQWYSw2BXa9meB5BmENr71uxBtvGHLlpRE7tsVMepa5CbdFWRwrRmHISuchccuTb1C/8vu3xj/9I2/6+gAeJXDpjubv/Pz7Dl7z3T8fM0waoH0MloWex4IxHFkOuP8pw8duT5ifibHGct3ukPe8fpj32s1PGq69KqRZS1ccK/Ic2NpzLvLhPO2+4IknNUsdSb0meXCPx2fvqTGMFMNIceasjxGayHoY4YHWiECjpcRXgpq01FJgB8oSKOtqwHXq+eqCuf2sLzMHt0p7NEXO3r5n8P2sQCvJ2dv3I5QKueMxxae+2kL52tltFf393AyeeeFJkjkeiuHQ420vHfDp+zp8+CuT9OIazVSHe5kOj7KkjM27hYSQOcDcn5IlrV8CuElHO2jH5J5WxFqj48QBXSUo5QbpT9diXnppzM2XRlgx4l2v6TOM3Di3z9wT8NAen3ogWOwonnjap9OXqUoSPKcoz3eecK2B114bMTeVuKaHxPCe1w+59pIIa2B+xjAzZdHpYBubKKLQqQAhYLU/5N/8trnmZTfN/I6n7A9/XQx+frlDbbo18aGPf/jSz3/JU52RAuUVH1i6D2msYWQM59qWc6tuaMz+4w0+e4e7Em1imZw23HhNSKvu6oDXTU+WL/XUdVjtKR5+yqfTVkgt3UwUqx0zCY2bC6xBaqSUeFI4MEtLIA2+dEDwFfiqmNHnQC6KhgftGgGyxuMyuB3Dp2W1XsbgSekeE+gIa0NOLfqEoxrBpMRP094qrcqrZDGzjh6gbJ3m3elGEUYe0y3F9rkQXwwZxAGDWFDXbghmVkOSJbSULJe3Ftsvur+RJdtMkT01Jm0+KaRRHCdp3kClc9ljojhBRS6XoFWClDHb5ky6Yhguv2BIaAdIbWi3BQ8/pVntS1SuWKpBdeVMp8VYzZrhpmsiJqcNNnYre125Y+c+u8ZEkjBz5tLVH0AIt23N975xQe28+NSl113//RP/5vtWO9qfen6AHzqxyImzK+//48+cf80d97XAE0XLRz45PgWrKg/ascTW0M5+Rxk6q5YzdzRLX3E9gJf1W3pyhMBkWy6Q1pwKVQQ5UqZWVgbqNO0sSTduzXzj0qNOO+kV6dZ75OB2bV0KPwW3r8lLTB2DpyyuDX6aHfW8iCCIOLFo+Itbm6B9PCmKADOXJ2INg5f94WxIqAObG6wTRh7vfdOAv7trwLPnWvQSj0bsNqV1VYC26MRRWU6gHOxlpYuZFJKlAq/sbvJaGK0VXuLmpXgp0JUskmaubjx9Lkw6OChBC4uwCXMNw7e83IBIUpkJiGz/jHXOeV5jJMAokkiTzWOJI0lE1aQox3KkjwKLkgFvuLaHDZ59TTQ4/H5stGZPlDUA//UPfQklpX/o2DlkLUDKNEikWjW2VlOlXrs1xfvKknglcK+L74zdMoBXgxchZd6CpoS73jxpCYSrFvSke60laU1F2j2eFRJpSnNQSHdmK7rqC4DLXLYEvs1b2nzflAbnxHgpe/s6QsqQY2cFC50aQmsCSUWeyPLXKp3usnSoAC91OsLYY3ZixI5NA/aeHTFINMMEgkTgJRYvTnV4TO4sFSl0VelUyGI7Z+HaSp2+k0YGnRgSJVE6275cpcVqblsZJYu7kAaVglxkfxs3JUtIm7teGdAzB2w9gBfJvSIuqwA5fW6ew6Bw5oVBxacx5z7u23XyPWsAfuLIcdeNHg+Z88GIkilP4V+a/AMVJ8xdAmUgfy1ZQtqVUyqsFwJJkSJ2U6nAExZPpKBNJUD2PH8vJfuiFJS8wdZXwoG9Am7pHv0M6FnwmYI76/7RJpconnb61PcjYiI+f1+dcwt1vEmFX67hKDsojCnScuq6VH2ZJX2GIzfB9q0v63Hfk0M6cY2+1tRjQ5im05UsCqKygjMhDEXnUBZoZlWbmXWYzlSxkCj3N7URxEqgE5nuYudqeeIU6EUyzeQJNilNKfGWPpdlcKc2b75XzHOc/1KhHbkJQcV9y7Kg+dQtS1rNKp0tPgQ5PL0u1ioA//2/uI2JVv3lH/v0XTcsnI1QfmbE27whIUnrC0z+WKRe8w/E1954JRckWbJAgMoehUVDbrWpNGXs5psUGjebdaiygZ6pPCkDO5+DonD9iOsBPAs4M92tM1liU71drSX3vQjfCznbNjx6sA7adyOgpc3T8zmDU2XxgnlKVXd5qajMPfEo8rju4hGzUwPaKw36saKhwIvdd1GJG6CkojLAnTYtKhzkWKWmSPsm0xp9ZUiMwDOCREkSZUiUIE5BXi5ey8ohZAbyEqizkgmBSUFOWtKcZaKLpF2lGKNSv1Jm89JnLoMcmc9nyfIrbsiQoqZaN2y84LUvXzzxhnvntn/b+gC3SchwYL9FCXOtMBENT7u5ceXEAWm3BrbC3gZRYvLU0B8HdWqflM2k7CrPsmIFOGzO4OMlnDqrjUhrwLNST9dcnHWqOFmi8u6VAthZ861j71Rza3K9nVmCjrELcHt5dWKEIOJz9wTc93QLGWh8Kdz87byCsDyfpVxHXZzUfDRaqew4MS55Nhh63HzlgG99RZc/+lyLMAnoJZJaYhnFpCtXuerPpHLOjF1Qz8XkYLRMeyJFDu5ESZQyjtGlTEdLmFIpcrkGyBYgr2SbMybPFumSTBVrybw8cq+oYclkyRjI04s2u0hdNaZB+uLa4XD0LdaYe9dl8NOnTzE50XrTJz9z+/eMugs0a5LEgkxKnReyVNML+R83pXRkeZWwVK7X9MuWGDwFdwYAWQKFpKh5KI82yJjbbUGSvSZlcPI2rAqLp90wnqqC241TGGPutGfTT9vbPJ01HMSle0RIxN98ZYLEBqg8e1kOMIu+xszZqGhwxtr1jHTToZIs2NQIPN7z2j5/+fkRqyZikNQYJAIvJmdxKS0yFnnRmbMLx9dPSWFNihLIBYlORzeoFOTaooyTK27MnqtgdNljmZcmFxZlubqzKGPOm1JyoBdSZS3Aq2t7FeQFGZTvWfeYC8ph+VSHgYi+Z/cVr7vz3Nkzt27ctLkK8MEwQqnRxSvt/q52p4unPbKt40XqWxZ13WWAF+tMGdDPdROixOQleZIDfaw8M9fiY5ozA315todSotDiacVdZdhNCmytROGk5Hag67h3jck2Ze4iwNQl9g68kEcPSg6crmGVh5ISXxr0eJ1GSYCPuyjZPe90KjWQZI5KFHvs2hJxxUU9vrq/TqR8BrGgJsFLLDoWqXxLu3DiVIeTjq6u/ElRYnFRkkbFKI9sJqRWJp8hqVLpV4A7qwWyaZlAxuTkq4cogRuRTcxan73Xu9myfBnT6HlVajr51rlQiuGwRxL1dmFHF0N46xoGf+bICs3GkL3HByz3BK26yDdIlXnRTFo7UAZzKaa0z/vxi9xludxSjAO9BG6V13wXtlshWYTrnhcFuF2QKfJucZ2DW1YAXh7+47rtyYGdZytz5k7wtUvsuK6gCEvEx7/SYGmpjgi0893LF+F4DUpBThWLMGu+Lddx5960cXvbzM1I3v26Lo8enGCU1Ogrn3ritHhWzqokKbiztSIdXV2JhkrZ5OxvpvMey1Op3F2iTDHTPXsu823VUw0us/2OMmkii+aIcQYfa1op0n1rC+2qFaaigrNqlSpp0scyPxWyaWaBQJ5C66K4MAf4r/7+Z5BS0l1ZQUmFtTZnoZyty2AuGSTFR3x+/s78/0KejD2WAV1m8cp4sYKxZZnBlSixeCZXJEpXAe7rdACQl20dmGY4tcXLU/EmfZ5U7lq5zp1nj8HHbmsxkj5KqjR7Wb0QxzOYa5bl0nGs6vBUiyeKONEEiebdbxzyZ7f0efJwnUh59KXET0zqHglkYkvHybr2MlFeT036t6r7FpWZPDGgcwvRjbZWaUmASmwxrDOfyyLyCzoe0+PufJaL5SgxeQby58dKRZevF3yOFeoprRi0n+Hc4aOVOfEa4NCRU1x04ZbGv/+539356JPnGCap5iU3/kr+t6icnOeC9vgJFWL8+Vrt/dwSReTAGR+HLEuMnQWZ2dQmrbNNXlPtrcbAnaXvvawx2biZIXmLWNbTGaf3COWFHDil6YY+KJ3KEztWHjt+4VYPSHWg0ZgXnnbjFIkfTdMTXLp1yJMHQhITMDA+tcTVbOtUgyvhNnJ1iaWMLQ1ZkFkweZFEyTrcdT7Y1L2XDUzVhrSDyCJNMSEgm66VZN39uQFQBJd54Dl2vjO0rGmYqLhM1Se5F5PLFlHBI8JiIsXyqofRF+686qYfb/Ta/77fnNzqAH7i5BmWV1bfuHP77E899tiIul81dMpMbcdQbUX5g1TBXQF1+n/lnwlcPqcMhALYRR+jKrGiqgzVzEBOUSOtSqDOn6dJHkXqhTtwOwAXQ4G8sjwps7dK+zr9kOWu4f/52xZLgxoi8Jw8kbayqhSDc55fc1amCWRzYnIGd45KHGsmGpof+/YuX350gqWRTyg1Aynx0x7KYuRDyuDlenph8jJai0nBbdIS57KzIlIGt3mQnoFdSZEyuJNESe6ikMuUQocX7YSFTMkCz8IqrBybsVVuLcDHj1kZ4ACuenUwSJjetOmnFs7uvTeOBn8HKYM//eweaoHPyZPH3R4uys+nD633B8ugf95bGdDl12PsVmhwUYBcjkuU6mCaHNhSIFUxfkyVQK2lRKeSROcAzzS3yYNKT5sc3J7O6i+q7O2pCN8P+ehXPJ45VAfpIaUkyEpjS9Zmvkd8+iWfs5qQgs3znSpKMiU2Mt3kyeOqXX3e/ooOf3ZLDaMDBtInkCJP+igpiEoB3TiTizKTl7OGpZoYo0BZtyq4KQnksx1VOky1GCtRzKIpJtO6Pk4hq/Ikd1ZKxEYF8F/7VpYjxWtRimckg0HMqVOnGIQ+Sew2htAAMxM+tVrARMPDUyJf1bLgMvsHK1H58wE8++Alt8S9nRXm2zUDZSqecR5YioLNc4b8WgCXBcBVqYZap3UpHrkU8VThlnil4UCF5nbs7Wk3tWqlbfjMHS0W2wHUUvektMHWc0kUshqRcWZaz7bLe1olJsncFM30hOLbXtPn0/cNWeoFhEozSGRqT4rUvRFFM7YcT6w49s7eMjmbF72ROnNWVPo8HXttpBt9nR33MshFunNeLiVTeeJW57IeF2NyRVQBLizCPjfcy0ohA1a5Ud0YQZRIhqHPMKyTxO676vPnnmF+fvrCr9z50I8fOXGSKFF4JYtrvTj3+W4i/TAZgVnGTnYJ6NW7WF+iZImTCrCrs7/LHS5uuDtVcGc7G2TMrUrMvYbBs3ETxcgJrVzm8shRwf5jNQwBQuq8ObeoHizHD6LkahRfvlyLkoMcUZInIncy8nazRIPVXLYjZNfmIUt769jEdyyeOJmiSy5OwZ7lQq+sXkiWHLCUzW3hkxtZzI0sxzbKuIvGZCOy8/NSkFEObiPSWSqZJhdjUkWM4cHmL9bIFNZj+Wo/QVYp1WoIhoOjxFzw49suuenxJ5999qg+fMqy2o837T1u3/TVp5bYNF3HUjDA8y4h4nneHtPb44/5rBCqIK/KE1FyJkQp2CwA7RicdBRw2Qcv39MtrVUZ3CWQp/vVe2lpaMbeKn2tdYRSEZ//aosDi3XwC3nilazLygXL2nERa1jJlhJnlSRGaXezrIw21Fw0F/LWm/s89GwDjEecOC3uJWl2N6lKpYI5y5ZcCnJrSxKlJFdk+lyWknvSAd/Nf7f5uOVEgTTZCmtzYioSPuXnKUuX2ttymJbB/Ryu0/NCMI0BfF8wExxj57b+m6Znepvi5uioNuleh9Iq6lrmae78hJX/sa/nr5Y+YMZcz2kPZgeBqtYuZIrIy0DHgZ2zuRKlJtwSuNP5hMW2HawFti4GBOUj3rRJQR47eaIi6o2Qr+5T/N0dTQZDHxoaLQWeqEqT8c9f/s7rApwx/T1mGZZ98SjWTLY073j1kFvu6/PgPh/b9BgkAb4gv9BU/vcLHVxaS3OQl3MWLvhMLzDl2DyRTo+bEmtnQb1Jg0uZjsqWKXCLQLcaQxW6u4gL3HsiB3oZ3OsCfJ1jOE6ccWwZ0sCYOhIPgY/WwtVVNHzD3KQrOsrHdlUAu/5Zeq6TV2HrNQAflyjViaZFcCly0OTz8lRp9wYl0tqUAtwFyLOyWYvWxQhlnW7CpFUV6F7O1u6ulAswfT8kChNuub/Bs8cb4HkIqVJQpXNDSsGlkNWTOu4aZcguvNy0pqc8Ci+vlJO5J54kmjDUXH5BzJtf1uOJo3VGsU8iPQZG4SeMfZbMC2eMwd2jHfssqOxiMxjlZkxaC1YKrHLxWKbH8xVV4raKzM6NKVYNOQ7w8biEMeA/R6bz+Ui1/O9kx67bq7PSVjSmDKORRX/orz+HUopet0O9ptORYOuclOe4kp6L4UWK6vK/sUZzsx6oM8YuB5jFDgSFNClZhTljZwAvJqfmEiVlbsfYNmdqnT8Wz700uNQqIvBDnj4muPW+Bv2BD00PKbLKQUr24DpZzNL3LB+trBYl81mrg+THEj6lAqww8mi1Qt780hGfvmvIE4cD0D5DI/FTLa6M22C3LA1EQi4PSMYyiKpwcrSikC7SsXm2qmRBvrEO7NIUiTZhym5Kes5NwezjOY718LVGxn4deKP87yQQC4G1HqeOPUJ7cR9JkqBXlhYRQhDHMV4aoK3xr8f/6efQSev63vmHEJUreF0WlyWwlzV3DnKnt8vZTKXSCsO0otC1c6XPdXk++Bi407uXTaFNC/y1it1dR3heRGwTPndvnbufrkNNg3QNzV6phLdSGlu+l1+sc6vM1CYrZyVvRk5sNtekAPpo6PGqq/q89eV9njlWI449rFAMhMZLyD+TSAoWLz7C+kxeHmKvVMbcjs3da7fJQabDc78/Y/RstU0ZPB/aOQbuSsBZAbmlvAPG+vhjXYYv/zfuv5N0Oj1GoxHGWPTUhEYKQRha+n0X+X89BVPP/b5Yw9jFc/dClgFeausq7yxQAXZFqpTT9KW7GgO3Kt11sQlqBmivBOrMOXGOiXtUKsL3Ih4/KvnYV1qAD9JDCJV3Eal0I9Vy1rXsCBVRvhgDGJV6noK5SxrcCrcjhkpHP+T7xGus1bzntQNuv3/Iw4fcJIHIKPqJSAu+UtAlGXBKdSDF5YWz2qxj8RLQs5+qFPRGpvv5ZEFxpr3TOiUp3GN+Dk1pYKcsXfyVBFghSYrj9XyB5vP55oWrYo0lNh4q9LDWops1lS79CUksq1/UPl9JTPVJ5QCWwFzV4KUpq2O6u5AqIk0WFNZTBvB8Tl4Z5GlrWrHZlNvZoRiAX4C7wtqlx6yxNpMqSsV4XkyUxNz5YJ2nDtbB80C64NIXtjQ5thxYiTWB1XorYLlQraivyFwNqlo8bWUzKnVUEs0o9Lhy15BX3ehYfJA4Fh8Jn6EBnYgi8Esyu9ABpJAo7gNUs9Tpc+uOpVUWaQXK4rKfViCswAqQVhRSpRRUFuydnldTvvBLc93XyYPkUB0Hcvb7VbgXuCytgEkCMnH7DUGp2EoKlxxBFOlbbCUcKcF8/LSJyocqm/n5Fyl9sdy+GnNMqnvEjNWfCPK9d/Ldi7Pm20rDQ7F1iVJj4C4Nxc/dE5WgdAngqUTxdcSBM4IP3dJiFHnQ8FJ5Qt6apsq7BOcXbrGSVfTK+G28IrNcLVfaHMDY9bS4phlI3vfmPp+7u8m+U+7iS4yinyhXZZikyR+E09+JKNyK0kpiM6CXAC5tocVlqtGlsVjpzpGVwgHclGKljMlNOZZaZ2UrAbrs0ZdJsJoAWo/NSwAfO3ZJYvFTZ81ai/q1D3xgo1b6v504cfwyByhZXH1lsK1zV6Ksk8clxdheleM/y96X2Tjg9DEdD5wDd+yejUwoe9z5oy50t3NQquAu79VTFFOluz/oKG9m8HRIIkP+7LMN/vLWKQgCUDWU0jSUpa5sOo6CvMHZK7XGFZnUciJKUkyGpRKgFrFEYTtmF62QpI2/RS+kkhZhDds3hZxalDzylE8s3OQBIxRCuFLa9eKeKjuKnLNE+bUtiRpb1B8V8qXUzUUZYNXOrnXv5f+m5CblU4ipPq63Z1O5zS9f6RKR768JlsuveNGma6976Zd0Z/nUlBb9tzQCQ2I1cWxI0ivRlJjmuW5VzbSOA1M6yIUsKUuS8sWULnVl1q7UgduK9pY5GApJokraW+U7PZQ2olJ2TJJklYIZe0d4OmL/aclHvtzAzV9x7J137md/X1AZLyxL37scaIryC0uFvYuCq3JtSDFX0KZjqZNsuGmiSFSqxRPNd76uz6fubLDnpAcyxArJMPHQpPUi2bFO0rOYZImfDKol6WTda4ubjZV9NpmCSlqQ1smWTHdL6/6GNak/btIAtbI6V9l8XWlSeo/y4xiF5+KqJKfyXZcNRLFgqT1k5vTqWwbhsSm9da6Dz4BjU7DSSZdHwJZqA8YLXdYLMsu2YPGBRb7sVGyzsiwp61hZfV4GuOsiyfR36XkG5KzaLdPgJXC7iawmfXR2oFIGlfndKkbJGJXKk0TFfPbeJnsOFNpbCum877yDhnVPoGD8taicmLFDWejvMkMZMZbwcZ3vJnEzAbMUfhhpLr94xNte3uPQRwLCRIHQJEIzEAKdpPZdRj5kjko5qrJFCJyeaGsFyhalolamy32ZdYUtUvwCjHTAN5lMKfngZbCXgbwG7GUgrxNQlnFXxmS+BUoCUWJZbsccOdVnqV9Dh/GAYTikPzAkaclw3uRQ/gfLS9m6Ee+4Di/bQeNfcG0iYP3mhiprZ68z1s7AnjF3DnRVZvJCd6ssiMy2OJEGLYuh+UoleF7E4TOK3/3kBEPpkU3QKrrm0xWkXANd1pNrjNz1b3nDSJ4md3RZmaluyhpcVOpTEqOJE48gifnRd/b42zsbHDqtQUVgNJHwGAiBSgpHQ5aDzTGQZ968BXR2waXvSevS8xabsnbmiZsKm9v07xgpELZYPdaaCSnwKQBeBvvaeG4dgI9VFmarjZKCRl3iNxS6LtFferDO6sqA46djZiZ12g3iPkylYlCs/SPjWc7yFcpYIid/nmZI12PAMrDFGGtniZQquE0hUWSVwXXF307BXPG7S3fpWNzTIZ3Q8EefnuDU+QCUTq1BmcoTW/G98+fl715hKbEuE1WAXj5BeeNBuUczS+EX89fzZgipSGLN1vkRP/j2Lr/yIZ925AICayUjo5xtmGSfw0IiKBR2AfLi/91PVIqidH5T8SgLx0dKWzC4LZ271DK0OYM/R8BZwpTJsFXG0NcAefaRM5hKAdqDnZslN74I5uZA1wPJwMsOrBt0WLb4xrC8ToRbqgwr66gSqLNWJbfvYhUI48ydAbtg7WJKa87eacF9AegSk2uTMrrJpYmTI6YkVTLGjvNHrSJ0EPGJzwX84ccnGBnPyROhcnmSNxWPWWIV3Z1LsnWYYB0WL05SKaOZgz5L2VuMMcWOdnnyx20FXtMxP/yuHvuP+fzJZ50WB0UiJEPjAk6ZkDN4UYCVnazCKyvblQ7UhWSxNmVzURSKOdJxctZWEj+pzBXlv5mCPSO5CmZEFT+UgP58i+IYHjMMDUNFf6jQM5MKG2made3GA1RS9aL87zznPypKv1uJ2stLN2trE9YW5tgxiWJLQWa6RXd5y0BVdh1MSapkYC4xuSyqA3PdnT+6WYPLK/C3X26wMsrA7QDuSae9tajKk8qqk9ll652QMe1Y6Wct5RwqVX3jWy+asTpxKVFGYYwmTjSTfsI7X9/nU/c2WOoqkBEYRYTT4+PVhVWwPDeTuzxQkRTK6lOyYNOmLJ4DOvXJjWWMsd35RIi01yGVMlBccOtgqSJXnoMvyniLBfT6guW2xEiFrtUUtZqiXtN4Wo7ZSGMnax1JUn7MMlb5B5Vrwb4mICu3PeWAKY2IkLaivQsrbW1QmQ2nKcCdVALMLMjM9rnRJfb2GjGfu6PGg0/VMSXt7ZoaMnlSrTfJW7NKB7ns+Zet8OekH8rblxcSZbwZwpaDTitRtvDF48RDm5ibrgr51pf0+YvP+6BCEBIrBCOjUUK4LUiyQFMUoB6XK5k1aK2zazNmV7KQUVaWCsWkm/FSYe50xLEtYcBkJJaxtc1+Vliaz8ncYi3uKoSbmUQGkljQHwqCkUCTLjO+Fmiv2PVsXYCXwVtmcjF2gtdh8EymZEXxuVQZY2whxthbVIFduCjpa2XR6YgxKVPHRNpUV5ckSeaYyJJEkc49CbyIQ8clH/pci7Nd3+13Ld2gdyUodmwYixfW6O6y7/wcbFO+VRI9JWZfs9VitgVjpeve7Z/jHt32JxubCd/3rT3ufSrg0DkJIgIUBslQyNImUg5UGahF5SosZFL+/3k2Mz0PZTYX7nkG5ky2ZCux+1k2+12kejt9nvVmiuI55ec5u2efz1Jcl2vrWzPYRpF1W/sAuh5AWINGzYJ0Vkt5Ca0w9Tqgfi5PswzoXBuVxkKUs12yXPmW11eXmFtlgB8DeT4je/x5kmvvjMV1Ng5YxSiZoFNb0PcjRonh9z86wd2P1l1vm9ROe0vpunZEMX8l/6zZylK+mNdh8jLOxfjJGE9iUNXi1fLZchmtazczmaOSGGKpUbHmVS8O+aH3dPiF3/cZxdJloIwkTl0VaUTpszmQV0Y4WNeSRunzudeiFBuk3fUWrLRpgCnyCyAPOvOL3lbqVUTGuOXjNiZlnwtnGcAqNeSlY5gYy3AYMxglDEYJen46RtuEsw1LP8x82NLZGJMhaxh7/ASv+ZB2TfF7wYLlwT7rsHdp/3m5njyRNu/2dttmm5JEKY39zXR3OuM6Dy5ljOfHfOVhj0/d3WAUelDXufbO2TsPbKnc1/P2yyueIAs416fvcmFTMVW1DG6wKmV0U60VT4xEGidVMqDHsabeiHnnqwbcdveA2x9WzjZEgpBEQjPIVlEyFiwKssCxcF7KW1plnEWYgTr9nBJU+v2y19nuCxnQs/NrhcDk2w+mgadkXXK0GcbGpUouU2xxkZYUh7UQJ4ZuP2a5HSG9GD3RiImGCTK9EkvtcesCufhDzyFJ8t+z6wB6LYuLst4ue8uy5Fhk+jffT929zrV3Pgm1ALZWY0BXBbh1Cm7fi1jtWT53b4N9Z2pOmghXEisy7S0oTZCya8Cdf7fSCagu+c9/s1nCoVQTvkaqjCV+xuvFpVRIkyCNJhppdm+K+NZX9Hhwj087TNOvxunxEEW2D4Qk9cbXLalzGluVnR7p3BaVtrQVbJ5JlTThI9Ia8hzoIj/vhtLxswXD58T5NZRBjr/Mdx9jFCVc3NIfWYKBRfv+KmHc4dRCgkprK9YLBtdbTtZ+EFv9eeW/cQciY/esSKnC3iILKgtgF+DOfPAiuJT5YHZbYexKQJklcsouinSd8oaEP/98nT/8ZAsrtPO9K+xNob3lOp+79B2rK11JHz4Pe1cq+RjX3xmTr21lyzfdNQaTSIx0vriShijxkMrww+/oc/C0xx9+ShPFBcgNgpGQKJMNksi0QgnkOahTXYFbBHL4izSln7E5aWZTuH/TpquzzYGeZX5T/hUl7S2KoLeIDUpsXR4eVNLnIv2lYvaKq33yA8nmeY0KEgY2RP/VrROsLEWcPJOwfZNBCteXWWm/oqSrS4Bdj9GrwK5m+SoMXg4qS+9lHnfG7MVMvNT7HnNMZAZuNSZPxvasV+neM06DR3h+xMGzkk/d2aTX86Cu1rJ3XvNdWl1EkeAR5e8+9hy+dpKnYPAS6KGkxUXFPbFp00EOdFnavlE6LS6lJooSWs2Yd7y6zy331Dl4Jk0quAHVJEIwcGuN+4wmBbctwG5zUKduCWnyJ19wMiclS9079lYpWAt5UgV6Bmw5tsrnx05mmBoPNgtClRnYU+cGIRBp44vvCbZtENxwPczOWPT2+SZ1MaCzoPMex/J8vSrQ7do/xPODurg4bKlfscyAtiJPRD77rnBPcnBnzC3Kg9kz58RUttuQJVkiZeqYpEyudcwoMtz2QJMvP1Z3w8Gl5wA+xt5ZkZernCwFw/lSW00/ZwgXXwvZVUKvAn2sas7KQqbYdCsSp7tNIVOMJBESlUiMUEQjzeuvDXn9TQNOfMFjZJwOTyuhiNEMBUhT2rZKiNzAzlI/Kl+GMkclrRUX5MC3QhRkb905tSINPCtALzKqJk/2FLNyhMCV9ZZwlNmD+e+kzk0W21mEG4RhXM1LnFjaPcVKZxLlz6Ivv3TH6snj8S39lcY/SYxx4wdUdeZFdQTXOsGlyA7QGLMJuz5752CmtHxloC8xdg7sDOhF2WjVOanqb5Wn35PS8xgpXaeO9GPuetjnV/90ksTqwjmRCiGk2wdIFGn5KoOXHZ/12bsCbvE1kJ0x4BqZYityxZBNvUqLsUThqOSaXDpvXBhXFer7CT/9/R32ndTc9ZDE+CKFrPsCkVEMKAsqW5Il62jy3AtPV9vs86YBZabDRXoBGIpREnYcR5lPPtYEUZEouUVYJdb8eKdOjZUZQbh6qjDS9KOJW7ZP7FhVL71+e2/UXzzka34oSZK8Xrlcjlpm9UqF3zozuyvvq7UFU+UiqbKnXVQGli3AUiKnFFDmBVXPAe6yVNGVhI7rtTy5LPjVD01y72NNtymPdO1oSA8tBXUJgSTd5Mqurd2u3NMG6HxITnUYUVbzLtVYw/T4cUsZr7jo7drjnZFBaQ5g9vvFKln6mYW52ZhAWx580md1UKotSMPMbIp4UXGYad1KJPF1XK2lC2FMfpXrFquVqWv3ebKZBiqvbPlzUSGG8n9PSgJxbLBCc+Lk+e979LFn9un+wH3fJMmAtV4Soxo8UmGrtexeaU3KDjzkM+tyaVIOMCvbYlSliVxHc2c7DKx7V+XAMi2FTZ8nfsKHPj3J393RxNYUTrw5/S2krPRbFv2Nz9MxX2Kf/MCsPedrPHA79roMCKASaFbnF6ZBZjo/0KbMba0palSERBpFIjRykPDO1wx49rDH+z+oCYO4dBIF1niMSLursvx64qjRYgtQpiu0Jc1upoMrUwPIsWjGyKlscfZgsSBk599SCjAzjCTZRxL5xZnjza4NOMvJKulUVyqRbL6xmLUWHSful63JehrHZEl5aShro/KyXPp9BPn2I+UPMm4RFs6JZXwEbwXsGcOLFOAl7V1hcJmUnJQyuBNkqfbk9ocC/vQLTYZJOgVfZNZgmrUUtqK9103Nl4G+RqpVH78W+9k0uMu85zUZTeyaElorS5lNWXJWhHKFWTItzpKGxGgCz/D9b+1x/xM+tz/m7MLMG0cKjNWMTNrHmIF83DpMkZpLKSFQZNKkBPKs6aGkubPfyUErQVpbIQmbHa/SwE5EOVAvafI8xe9eGEMFV27KgpNzeqLufmoSS5I4icAYa+enpwL4satpDOgVds9S8+s5JxnAy/ZgGdyi2NlLrdHhpuqBj7O3TIoAU0f0R/BLfzzJ4VMBVhe7JVe0dyaRKsAeAzTrgDmHcPmAjaO8CvLxDQSqGc1y8VVZj6+tTTEyrTiUZRZXiMQghEaGhou2Rvynf9Hm/p8M6A7TL2Nk/rkSNMMsw5IVd5sC5FYCJgW1JXdYVBpQWkm+J7AVmQ63pSRPKWeQ/U4FL9WR07YE9tx6FeOH1a4hYBJLtx8TRu646Q0bpxFSMRp06Xb6FGN2s3+onLOv/oF1GT19L3NEKjJljM0ro3fXlSim5IOX+hJTNs+Zu+KalHbnTT1vrSPiBH77Ey0e21tznrfMmLtwTjxRlSVKVFlblME+xtxkJ0QUQzfX4+s1TD7mnBQNEBTFTOkWjmuqDYVj8DzoNNKBPJEYkd6TVKoYw3WXRfzYd7T59Y9OESYpi0MeFSYoRibT4mkEVwJ5LlFEKcsp3Aa9tszmEoQpmFumU2atLWTLmpUwlyWigqVCKawdml8APaMWS5wkTE83mJqacFuU3/SyNxEETU6feIonHv4CxtaqjQ5jq+w4oIsPYyssvnZUwLiDUgV0AXg7JlOq+zMW7J0Uuryc1Knc08CylvClBwL+5BMt2gPPeYCp503apOuckyJrWS7lVZXPvVZ/FzFJdYpVsb/aGKDHWHsN3itAt5QTQAVrp1NhM0lSTgIJZyMmUiGtcfUqsWKiZviBd/V55JmA276qoBGnTJ1+QimIjWRIFlMUILe40lhy29J53mms6sp6MwmTSoayfMlWb0vhoIyD3SkOmzskZeau4G0d4siOY7cf863XX8+NN1xDp9NFS6mRSgMqHZlbBALlCLiE8RzoVdZmnf1ZqsDOgsmyJSjGZUlJkhQypdhh1wE8qfrd0lmBMt9X3QWWUsZIHbP3qOZ3PzbBwSU/TdU61naPsmDvklNUAfl68qQiTcamNa1/FoofrnEXyixeJFbyRgjWS+OPDQnKCrGsyTeVFZlUERYhNTKy7JqJ+dF3dzl6VnPglMDqssASID2SFOSMgTwTwCpHW+p3Q8riIg80s6RgzuIl6ZKZDhmjV0hClBKKqaeeLh5knvh60Lb5N7B4WhH4HiPfQw9D5yJ0Bpr+UDEzZXNZki2Vz3Vb66Cso78rwC6BuuJ/VzcxUqkMKZi8pLuVSV+PJ3MKoCuVIGWMH8ScbQt+6YMTfOorDayninR8Kk3WY29VugDXOifVwHs8qVM+WYWeqwK+ckjHwJ69t7YmpazDM0CXA9Cs80emRU3Z8zT4TAwxBk86V6U9kvzUBxTnVgUEZboVWHTO5IU8SS+07DFlbSXBmlS+5G6KSIPMKpML6dwSW8qv2LwepcCRLT0vO3ZWjB29TNal70oB9UDQrEtqgSQKJVIpifaCszWfWzdvalH3Q2p+ko8WzuqsqxuAlstWWUdWjHXdqGLj0EJmFMDNPO6KQ6IKazCvO8kqBsc8b5kFkypOn7takxDDZ++r86WHGmmtSWYJypTBM/Yudg0uzxssa8Q1ZbElLV5eycaZOwf/ekRR8XhLdzLmFkXgVmojyxyUyqaoJkv8lFL7VmKsSt9zz+NYI6zkjS8Z8raX9fFFDHEMJrtHYGOstcQWhgZGRhAaiIwgthDnQ/ohTvfYjNMdsYutCNPdKtKgOEmzsvmjcda0e23zLXNM9m9U/i13N2P3JB8VAaMIuoOEWmOGxIhba4F/VgiJ+h8f+A3+7Q9duTrRDFenW91/aqPTWOuRb9OWs5bIawXKcqOc7Kn0U2agFaX3cuAzBuLqhVPV3EUxlZRrmbvcEa9TcGsdk0jDp++u83/9wSRHzgZpE0OR0EG6ButAQk26QfY6HQOnZTnpVOQH8p0cZDGYP59yK0BKSb6tiqgO6XeTuuRYooxiDsxYMq2wvcayp2MriwvgRB7IrS1NtmskAMYyM5Fw+cUxJ84rDhzXLuGTX43F1Zo5IMX4i/HfGb+Sxy/yTDisWbTWNnyUXmf/SDU3UI5PsovdkhgH8DPLCRu3XYTfnPw/73n4wAPvetur3Oi2Wx4cYRDURZcLJrrUgjphLN1JofBos76gis8rSrqbLAgr+d7pzyoSZb3AUoztgZ7JFFW4JrIkRTJwy1JAmVmCnpdwZFHyJ59ssu9QAC2VSxKX2HHaO5MmeZ8l4x4963fMl4LN/JSLakA5HvFntlZ+4sZIvWBts85JTVvC8oxfNX0vhduESQqbe+MiY/a0nkAI46ZeWeeNRyPLZbsivv+dXR56yufoQmmpyoNOJ0NiBEPhgkvSEW7WlOtQCl2e16hUVY9L10v3syzFnh3LXJKU37e2elHa6oDOyrGzMIwkwgt50aXLvPbFi3R65U2o5q8nCBrs2ydYPn+WKy9QxIksZqGU63Upg9qdmvFakzKwK7q7ZAnm4C5ZhGUbUOTBZabHDUXhVEmW5O+l7K0SlruC3/zLCe58rFZUCWYZyxTcSpLuUFweg1zEEKp0AtazBdcD/rgF/vXeyt31FTYrp7CzHcWMA5RJZwNaUQJ/KdMphcUIizDuWBuh3Guh3GUkDEnf8JprR/yr93b4r388xcogA3bqMhiRglwTS5E7KBnIMQ7IZIBPySL7jKU9r/LJWFa4zGM2Y2U8rik3SWT1Xy5hafO+y6q7ItIZlJabLld826t2cvVV1zMc9LNrFK7ctY23vvqK21Q8+tVwtJnTiwFRJLHplVyt07alLF9JP8vn0uqmVEtSyIw10kQ5u69wS8a6ctZUB2bP40pCZygtv//JJh/8RItu5LlCqoy5U9fEze4rnJNKUVVphRrPXlaYel0wV+dcfz1IH++uz4FMaTku/W414TO2v44da3NL68az9rZsgKexxR6cLQ0/9K4uP/zOLnUTg0nAZo+R0+U2dmOJLYxSTR6l99gKIoObZW5TLZ69NuXXpXuu0VMNbrNZg8XzxIy9b4oJVtmW8lnRl68EG6cs8xNz7D+Y/Cr+i24T3s4C4JdesoVf+7X/1h/2Vo4Y69MfSmJT9Hkgyh62zUtaVakJIb8ARJFWLwJMw3hdt8z96xLgRfkCKCSJzJwRUWJwVWVuKWPwDM8e8vjr2xp0orR7gwzYme8tEaTSJL/bQtemF/C6mcrykknB2mtS86X/5utBetGuNmYZZoFmPpyyfBGUmpJzUMvq63zURPaewqbtbcYqrFHEkaKlLd/9xh6XXzJCJnEO6irYkwLkFhd0puCOU2DnAed4sDkWKBaPIv+5GQN6/jvp83Lzx3hTtFLOPanVAs6d7xz57d/6H/1ac0shUQDe9ra34nk19j1zP2eOP4wSMgfkeCZyPLHDuCTJLL9xiVLS3aJsBVYymabQ47IaWEpRylKOpeK1l/DkYY8f+5VpnjoQYD1ZyJKcwWXJFrT5IJ/xnRrWswbXkymVxE4pECu03NcpV6rO15gvPm4XusDK1Xs44EpbSBYjXIBrrHQ+srUYK9PfcROyhHHeeJLGVSK0XHNxxO/81Co/9H8LnjqYBicy+zCiWE5SuWJxAPTL9mHW0pZKlGxVzEdMpP+cLD1m9d1WVCWiANKdV5xOL8uZ0nEV6QUxHCVs27aTN77hlQwGw/x45gDftGEa36+zes6jvxTheV4hIwR5Eqdag2LXMHy1sGo8uWOrz9cBes7awlaCSpF536oAtkwTOtozdK3k9z7Z5PE9AYkqsbYo6k2gZAtWQF0qDyix8vjcwTVjIcb0IxSvvx7yHp+vV0a4LfdpVt4vM/tYzbh1c7uNKUZe2yyzKdIQVsg0Gy2dHjeWBIMWlusuH/F/vKPHT/+6RzcW4EFeRJI1UyLAKBIhCLM2tqyUr6S9VakK0ZoCxOP+eEYc2XyVrEsnq/fKwoF8FU1fZFlQKyw2EvTjhJHxaTRnsPTXAtz3FJ7nH5yc8A/NTNV2RdGIbGeFytT9DOApY7OG3W3ldTWQdNG8XC/IlAYlTP7cyZykBPgkrUdJHJOLGCUStJfQN/Ann2rysS81GWVgHmNuhLPo8oKq52DvSn3EOGOLAtjVZI7Iwb0W2V9LnoyzdwkYUNHhBvJRxlVvvAC8A7fMWV1YgUhrVISVLhVurXtu0qDTukI7X1je/fo+e45p/uSTLXoR7oCZlG6zx7SBLTGyCCTTVL3JvPv02Lqy2ew5+WzDAqDF8c4GFLqY0ubXVX7Ii2RqvrBIAVGcUKs38fzGIT/wDw5GYX5M88qq1tQ2jh+691blTX643pxHyQjfc8PhlSo0dDY6rVLKWu6yGX+t0obhkrctS78j1Xg2sih5lWVrsATu3EHRMd0QPvh3Tf7vD05wfsnLa7vLtSbuLkrsbddkK9fMbCktl5IxsJdfj7F25Wfi+cGdobrs7+bvVV6KlNGrAWYlZZ8lfij93IiKs1LV5aqyVaEbAafYNGv42X/R5p+/o0sriNNBOUlJj7tEEDYBazDG6fGhgdA4TR4ZlwzKkz9pAJoHmLZIAlUDz3KAWfw3uS4vBaCxgShx92Fo2LppnrmZ1oc//8V7br1457a1DA5ghQ+y/nmteXujLq+VMkp7AdOdcctXUWoRFlWDz8HcuUVY+p08IM287ypzSzEWYGa2oCiVv6oEWbP83ecb/PIfTXB22QNfrcPe1Yyl27y1OsC+4nnDc3jfogLecmVlAWzxtQj7a7J5ZehSSarAOHOXhmQam06VEm4bbVEAW9jCExciY23Sx0yuOBbHaKLQsnk64Wd/oMNSR/Lhz7Wgli4da5jc3QySCFdk5Ze0eJaJVelKX07hZ/NXnAa3uRQpdHmaCLMlWTg21tkB36KVj0U+Pj1R/3ynN6wc00pt7O4r30Dv3N/cW/cXHp6bHtCsj/A8B7S8oUFSAW0eFJbdk3Vtw/R9tdYlEeV/J21QGPe5y+CWMkEFhoMnNX/xuSZnFvwC3GLsLiUi1dyZc6LTxMR4p065EToHM1VZkgeP6VEv6++vU5XkYH7en5e8b1OWJeULIX/M2HrcVSkGBrm0fTmdX2XxpOSwxKFk81zCe7+lz67tIYQpi9vMYUkKpyVl8iy17xwW56RE6T22aYrfVu3EOGfmlNHL9mDK1vn3NlVXKTHuY60OBItDzan28OEPfOi2e9/9zjc9N8AB7tq3iTv2bubYYkw96OOprGuv+P9xyzCXKioDvqnKC1nyt0U5cWPHZEl6F0VwWQV32hXvGw6d1vzn35niK4/UXANlxesue9/O887GQGi5VmuvN8yn8jt5B/g6MiVLOIjS8Skdp/H6lfVckuyqqPYfjj8WJ7cM5MI+q/6sXJRlcQCyJrMRU1mSSxfptkmxblqtMQozFLzu+iG/+GNtLtoaOi1gy3IlKepXbJIGxAXIh0Y4oKdAjivPnUVoTCFbTC5dqn53fi+TQkogUSJYCS1XXBryE/+szr99X20NUejxN6646l1IqcNHHlpiQ2sPxkjiRKU2TSmYrASKVadEVGSIXRNYZhdBfjGU7UFRSBMH7vLrGOUZjp7X/PzvTfKx2xqEIt2NSpT7KwtwSxx7F3Xe62y/LewaScI64Cxf4GKc0b8WcZd/OEbfGeAzN2FNsXhWQps7KtU6cbLERyWzWTRCSONAboQLOEWeCZVpVrSIYjPJEhuo6Zj3vKFPYuDnfnuSY+dTZwXSgDClyGz74xROiRV5AElqERoKZ0WV6reNKRoo3D/n7JNMrpRZOOvML2ZbCiYaI97zxhle/7p3hCaOgZ95foBv2biFHduaP3nfQ9dd8ZXHe6+5eJMl8ES+9TWyqrPVW1N5wAAALGxJREFUGuBWn+dgZuznZb87T8mb/P3MGqyk4XXCsQWPn/6tST5xe4NQpluvifXu5YxlaXh9qrXXlSaMBZsl5I773xVQj9P23+M2jutyXfjatL37o1lcZKzTqtXGCAr9XdHhZZDLfL9IZ2I4cGcNxXFs8XTCd795gFbwM781xbHzPukc5upFaEhNa3fsDZIQx8yeFHiV75J19hQtbVlBngv0RKrZbf53MvNGCFf56SmYqBmuv7rBG2+68g64/CelXlpzXNdIlMsvavHxT36xs212et/Zhdnk1Pkag5EiSVnAXZSl2pGx8thygibX2FmKP3tPZQ7J+uCWMnHPc5kSI1XC6WXFz/72JJ+4bR1wr7EF3UH0ZLVLZz32zsBcruQDxqTImP+9LjnbKuj/J9A9HmCO++LFm8It1yWZkskdQ3WIfjbXsLxNXz7nMNPmptgaJUvp2zTT6cprJTqBd79hwP/1Y202z0aFRCllOat3k+pyp7vDNL0/Mlnm0zkiWQY0ybYuL/0sSWVXpsmz4yNw57DmC7bMKS7cNJsMw637ju2/tSPE3NcGOKQmejL4sYu2Tzyplagw71owl0Y6qFI5a17vXQoox2tLMitwDNxF1jJKHRND4gn+6NMtPvbFBqEqA1qPPZbALdZmLMd1d1VXFwBdbzxE2f9eT18XgyDF/yy+q9nMNUmdqu9dTuvnliBrGbzc9VM0SWRavAB2rsdTkDstXqT0TSLRieU9b+7zA2/voZOksA+/HpAbV8MSWghtVlueavFyAGqK+pW4FFvkNeCVdL1zkVb7jSfPLw5+zNj1j/i6AH/ve97CxVtNctXlO+zG2ZhmPcbXST6ieA37lmq3ZSmgrPZVFkB3rJkUDL1eF3xWRKUMaMGt99b5yK0NRjIdQifLgC6xN4U0KfbVKQGaMtBtXhlY2W9HjIG8xNRlrV0GdPYLa8pkvx5wl36xIlNKrL7GNSHzxRm7ANLpV2Vgl5ojKsFn/lgUY2UBpzGqYHPjQB4Yy3e9qc8bXjZAJKbwxm3k/PG8hiV9Lwe/ixeiFOgjKwitGHNZxgu1qPro6fPYCMIY+kNY6cL8xgvsMwfD5KLL3rTu8dXPdeBfdN3NmGTwkVO1Ry4d9VeaUeKuhfHRDev52mI8kMwznClTU07Rmxzs7vdLzok2CA2fubvGT/7WFM8eDtKG4XWAXQ4sRZatHA8sq4mc6jgIy3gGMwNx2XEZ1y3jtRFlUH9NcI+lMdfKk5IHTjmwHPPEsw72SoOyrTyaih4HTOqB43YVFmQBp3TBprAYo4oSVmuxCVy9K+J//Ns2/0HB5+5uOD2uSt/DiX8wauzAuM1TYuumVRjcrsjKuhXWCDf62NWyuNoWsu8k0wxo4tL+kRCsDAS1qfneS15y00dazRrPdZPP9YOJ6e32occf+M1T3YsWl7t9Am9sLmCJkXWpvLVoSEgqDF+WI4W/bdJA0gE7A7cSLnsqNPzdXXV++v+Z5NkjKbjXeN1VaSJkGlRS2pkh09+Mg/p55MZ6rgpr7+uy9Rgbr4/u53l/rEYlc0rKr8f1eiVlD2u0d+6Ll/V4WXv//9r78jg7qjrf7zm13L33JZ100tlJCLhACIZVQkJQURxR/LzRwTc+ffrcZUTFefPMOM8FdRSXgdERN9wFjUYRZDEsEiQgi0lIQkJIYkg63em971ZV57w/zlLn1L3dSSeBAL7z+dxP1T1Vt+69Vd/61fd8f8uR1MWSD9V2FWbLHLAqxeKeANe8bwSXnFuUYjarQ1HMl9LMhdjHmG3NK1yF30K+Yq5eY9k5UAkIcoUq3vKGmYf29T781XlzZkx4qie04ABAM6cjqg5j8OBmFDJjiTzJyFZMSEw/7JiUpDU3QS2fANqCC3ALWgL8+r4MPvEfDdj81ETgprEll5bW09SktniPysJJpoBNCnYTswkJsU7woIH2I+fhycRuba2N7XFcirDq2lNoWXMeKyqknjVXUYbM9nJK1yKRX0I4FUKKTJZQc7rrxLMqcMqcAJ957wg4B35bz5JbtyiNN3JxzTiAEAKwIRHTd7oQM0i4VMwDxKQXlKvIK4hr6FKGRd15rD5rMdpaC5Oe20kBPrt7VqU4/OS7s8H8n1crj+fynpodIR4w2mCWFAXcAnqsg8sBpcHB4+2ClhAqOPct96dx9dcasOVpvz64kbDeNBlrohIYjJgT2Na7hpJYA8YEmJNgh534oO4A++3hIa5KctfQE8TAhbq+Wjo06YfJ0WNFJbbyXNMSIRMaYFeyoVJXDCVagEkkA4MChDsiLlttrXKcOifANe8fAePA7+7PxLq4+QeoCW4urpXSGaVLPpI3aijHTGEkQppV2WpGlJIiEkpSLsOMaT3jfQOZd7dNm1s5aoC3Nwwwp6VnY7HtnJG/PvFYzvMCHXxlOmkIMS03LIBrDVwuY8ttSIIK+A4DdwhufSCNq77SgCd2SRd8Pa5NHQvclMQOHVMOrI3zTibw1nH0QIGdJMBOLCuvoKwBPxFvSfQlWIixgWhznQyltQedBrjNm4EZh5B5nAQx0C2NXNU4lFwcNLbiTNZfI2r6BsnJKQQbEdGlDkg1xJLZAb7wgRFwTnD7hjQiSJDrOsomuB3oP6eevvKuYJDBV/KaBFxMleISIJK12lUGvu/6WL3q/JHOrp6NO58+xDBJmxTguUIbQFL9QbH8xo7pp64vDd7tuR41qAerC2oBaGXJmQQE0/QkpiwRiOTqhHBwh+Cuh1K48ksN2LZHxZdQWFTEWooXAYzaJmaWTp20M9N6A3UtuQ3y2j6N3cR+Zv9UG0+8dL/RWePghGGpiXkDcNv5Q+LALCYL3qvE5HppcDHQJbgNS64cl4RxMDhAleHkngBf/vAw3hcC6x+SICfyR1uBWcKPGf9LBl3nTYJdhRVEiA2Qw8QA1CUEJAyw+oLTgtFi9MaW5ob+TDY76Xmlk20kNI3S6E74uYX78i1Lnmpo8JBLj8L3qqIkmp7rXU4NokoVO2ZYq00/xIBT1S+RA1GHg7sEtz+Ywvu/0Ijtu33oMlNkgkEl9LQTNjVBMjvH9F7Ws94TUZbasmt1AW0CP3kHxLscFtz13PfaY4kk3yaajyelRKZkxIRkyGHmbyZjWdSAUjmDqCUvMl1fxdDNlZQYUfAqwcJZAb7+kWFcuKwMJ4rkwFO+tJxYb5mIazHiWzhjiBhHlQGliGO0WEEmn8ZZSxc+tezU2fse37IH2bQ36bmdFODiojqIxm/enfKH31lxF6F/pIiUH8SpYo6oQ+LKUsVJ9URQEal5m6AnoXAE+RzMJbjzoTQ+9O+N2L7XB6/LuRWgFS2xY7wdMnE971p3vPkyMpQSGK072ExYchu83NpPbJ8Y3rxmRb41zLhJQeJv4DHwWYKmKHCrmwR2RVpbRSE2sLV6IpbaGWRMfBXfLArwIiKRVwgWzgxw7ZXDuGBZGTRidoBWjapixpgrlcUoPsSqhrYuqvu05Qdw2YXTMVocfuc3bvrdbtc9LHwnpygAkCnMwYH+Iprzmf2PP9x6b7F397ntDX0ghCOdEuAOQ/nYisfZ8rImBppKQSGRoCkpYM8hFxse9bHmGwVs3+2D+5No3LDBTRCHwbpATXaOY1ETOzte1zCvAbx9E+g/Y3gzdVFNk64YN4cubwB7+2RNY5rHB+IGH9eSeIKDiwGqQVM4T3Bx6EGmsPa2Pi64uxpgCpk1DgEgkquLsnAi5S1BOyQDpgQgAcOingBfvXIYn/wmw58eSWHPIQC+4t2ALu6t/7E8c7zOCQmJqIrgE4ABF5/Riivf8pJ75y1YuR8YBSENhwX44W8BANPastjz5IM7FnS3fXXR/HMwOOIjlw1QrFTQO1CF51bgu1VdcN4hBkUx1gmNJO8W4N7+jItPXVfAB77QiG17DgNuUxqEDW7t0JGgNWucmMFVCpRHop7UWPu6cSbEUllqzHqyvx6wk84e4/qaSyT7E9zZoioAYFhlrub2ASyubVpuLvVwrZkrj6aKTzEtvJkRVMeSnzQrwNeuGsa/vG8EC2YEIn4WSis3NHMkQnBZJKx2VIETldDdOorW9BhQDJD1GebPOROlaudX//jAgzuOBNzAEVhw1bq7e+B4zRvHB4bXjvRtef0fHn0EN63P4+ABgiteO4ZLzyuDRiK7I77OwqtlDi6V5d7xjItPXd+Am2/PoBxRIJUEN60Fu64rKABouuKtgSUSwDas90R9dvhrDFTdXccHH1MXgsOa6Cm0GlDXeCahprGxg7SIAraMDLSsv+o3Bp9KMYFI9lWWmyJOYhYVpQwNXVlviVkd5mckT9IwQmdLiLe+uoSUB/zrfxSw8xlPWHL9q6khG5K4nzO4LMSlrxzFFZcU0bvfxQ9uG0e+5QycsnjR2tmz5m08eGjkiM/lEQM8k58GHuzc3TTtzA9+/5Y/Oj9ct/C1f94OsFKA0HXwmvNK8EgkbCtX15wLqw0BclCAegQ797lY858F3HxHBmUkwa24NrVfWk2BDqRyiPBOqslaVV2+ZLEea0kn6DeAbMWgJC18Ha6udyMG4I8UyTW7Co5tWWUDzMml2G4MQJWDhxE9+5g+FoOcW15SFnXTQKknEvxEWXSmLTqo8K9TfUw1Gawo7seJjrIVxrocIeUxvHFlCeDAmusLeOoZD/BkeVmT42nrIgDu0RD/4+JxrFpKMTbi4OULKXpLWDd7ybIPbtu7f8/SJdOPP8ABgHjz8NN1G/b0zLxwU08Hfe3BA7twwPUwVnWla1g8ypTDmJBYAgQBaIrg6QMuPnl9ATfdnkEFsuKlBjJBLUWR4JZsigI1U2wrvm3V9daA5DWVYRUPVMoJarbXgruGlpjnJUm2p2jNFfeu4eHG0qyApYOsFK9NxqeQhDdUHkePkxIOoNhxJGREYYmYdACJzHnGmFmrAUT3A6pooqpjyZioqcMCjozLcPmqIkA4/uVrDdh9wI2TJvSJojHIZRx/xqcYGmjEvoN5NDYswskvW7GJRffsKcw+f0rndkoAB4CXLZyBWTO7rxnY/9TcRnf4zdsPHMQHLhsHjVIIuXh2KWeOoiSgQJVT/PkxH9fflMXPb8+iSojI/LUs9QQOHUMSFDElCW+lybet9UQqGmJunYz7TvLwGgqS7DM5fNIQTPWkmsC2LLZCuQFuYkiIiocTbvFrtYOePx7QyeI6eYcTkUfMuaQgpgoT0xXxxXEis5hVQk7vIy26cP6oKX+I1Mo5KBiiEPBdjjevLAEMuO6mHB7Z6qPCDE1cZ7KLKNEK9/DFm4D3XJJBNZiH7vQpP13QvPyakcF9Uz6vzlQ/8PWvfxnLz3pFpa2985a8c/D8VacNzzptfgDOPfHnpEs+jgEHSpzg+7/J4V2facDDT6QQEGIkK9SGu9ZPYECcWymB7apkhsQ0I3HGvCz4SU2wcx0aa/YLihOXRba2y/oweh/9sFGRhmqGh7jgjtifGH3x9noafLLsMYH8HUi+tz8f0ylSS8vMfRJ9yffizlSFnOJRMkkcH+Z29SQkdrcSAfR7Lq7T4rkh3vDKCgaGCbbu8BDI4p7QM765gJOG42VwcKCAffsLyKab7zv7rDPetG3rlrF5C182ZYAfkYqSbJe85lVYODtbXL16VbWQb0XvoUaMFbMII08MRAABco9jnBN891c5XH1dAX3DLgKLTxtcWxVtSHJvw3IrT6VLFO+2Z5Sw40zqyYKJi13noiNxsWz6Ycaa2GxbgbemTWDOzQx5BYJ6+5gHqqmEZQwWkzEp9fpqowlhOHQM5w9T8eZKbaGG6hIrKlp5YUY2kKmvMyfenwEu52hviPDZ94ziiteNI0cj4ZOXUYYgFIR6aEo5mJnnaM7n8coVq6t/7UNx2fILjwaqU6coqrV3zgXn7MH+vmXLxw7+PhOxkrzQsryay7Gj18Wv7s7gszcUMDRqzA+uEaWS++pxbyMEFoK2KS+lI62rnciQoCQwwa7AHVscs4rsZEsF8hpXvX5vIziJZzLhlgSYEVOPuipJgmsrKqMTj5X4rigGib2cwm0v8y454OgBbKKgp1onqs44BeVMDk4NBxKXurmahtCgK6puOQUHJ1RSFUljCAPjHC0Fhn971yjSHse69Vns6PPlU1tIMQ7haGnwcPEFp5cWnzT3QUqPyg4fG8DTmQJKpdI/L1h8Nt/vPv7hJm9HupCrgNIKXD/Ehs0e/vWbDbj7sTQqoYyWMS00Eu+TA01dhkdZ7XhgmZw/R7vgYbjkTVpigtUArIk77ZpPALiuyz55MuoOMo+ciXNAh27UfMwcaBrbtGRo3QhGn3G8+KYhWjoUvJwnAG5wedRRWZgYfIKJ2So4YbE1N8ID1HCTcwV1+49GAdCSi/CZ/zWCi86qYM03G/GnTRTgVfCwhKGqgxlLF5VfddF512ZS3v8+XLzJZO3obw0AmUyGRSO3rSk0NH1+Z39n9YEtITgNcf8mHx/7ehN+/0AOlcCTEz8ZOnYN0JNW3I4zSc5d6ciBZt1qsPTwnDOpqtSCPYGzZP8EN43evQ7dmBTdxneY/ToENrG76YqHSUeAOusmLTEGqIBBNeqks8Ge84dP8rJmemMyDBZxjqdOrkDsGIpCipQLrD6zjM+/bxDLTx2HhxLOObkXl69IV7u7Wz9/3U/uX5PJZieNFjxcO2oLrtraP45UZ01v/9ytDyyobt42/qnlmw7S3/yxgA2bskDatdGizqzpVdE6t2OD3uDdWhJMJizADqCK59w0wKuAabjlkQDmhMvEMWIg1iceE90YR9q48bL6TetdY8kVfSFSOVFcWvweNQGNFScOZcW5LpOmeDPAhLrCxPm0kpkhpkoRjh4ppVCAcg4Oaig0YvYG+Q3ghEqeTfXYAQSIKgANGM45NcQX3z+Etff6uGhZinVOy35qOPC/5JGnq2uOEZ/HZMEB4G2XvxvbdpNS94zT1v7D61/Bm5oibN+TApwM4GUAJw0QH5Z30gK34gs0fhlxJuagsl4YrFkY0zhyrZvdBH4dy17j0FEINZWBehY7yV+M7qNuhsveSl/jcayP5t6IKYfO+LH2QYJCGDwephWWjiBrn9rinclyFGb0oTnA1MVCzcGx7GOcIoo8BFEKlWoGUZjCgm6GoX4PJb6KL1zw8rVzuyqlVyx//7HC89gtOACsWDYHe56Z++SK5fw9d95fuT6V2UJJNQ/qu2BRBB5V4+BizpPSBPTIL0FNPPkDzYz4iYr2mPq3RUVQB9AGAGv6TKqRpDBIApfU6Ys7tNKSuAm0Wx0JIBNjaWxLejSTDiBClPU2KmCZLnokuDaB5tjKdW99Dxf8Wnkm9eRXSleXPFtHdYHGrn6IGuVcWmkznkr8YEFbwshFEPqImIMoCjBeLOPlS1ez3tIr3pNqnP7kaP+h4wHN4wPwhQvOAA8fqsJ59Q23PNibbWuvfDkI+uG6BEOBizITsb2ERaJakfZcSTQkBpWq3JpD5BR+JBEpiDgVrTbGxHgoTEhXkgNNYlnuJCBhbNOAtfrsKbyPpvEJOrVAokCvPZWwrTmJ1RV1p3LpPYr3N2JZpDIi7g2hLlmqi5qACsotr9QTiFJw1ODwEDHl4CLFTAd6WeeFyxRHBoQEQeigXE2hVE6BsQiFxll43XnOP73yR2ff0HXftuiSc884HtA8PgAHAOIuxdanDkRXvu2ynafPe3j0ZzffVth7YBR83EVUCdGSL6G7s4ztu3yMMg9c+5hsJBLFuyGjBJFw4hjrsTWPObkJZHsqw1qOXG+gacZxJ6232E6s/SyLb76fAs7Nh5opF8aWPA6dlYjU6Naftbyccn/IcgzKvY+kSoIaK6087wLIAJMzNygpkCjHDDdd+UyXZ449o9KKy2rElEQYZxzbdrno7oiQdSNUKin0DeYQsFbku1aNTp912s4tV+2L/Oyi4wXL4wdwAGhuyIBXx9ZdsnLpewt+dO2NP7+zpfj0CF6+YBRvv3gIS+aW8JP1aXzxx00oVlxb+lCxJkR5KeMgqrqSoGY0vMZq153fEhMpK6QOuG2Q1h9oHiPPBmpkwRjoArEcdcCfsOBxn52naQJfbRM3gAl0aL5v3z+GSsOVHGjMMIE6rnwk1BVpycEJHMpRDoAv/7iAH/2hASfPBd62KkBPq4ditQNds1cNNHUs/VD/oeK6pqb88YTk8QV4Z1sjAGBwcPjGlSvOdqshu2bGffe2r1xawpmnVNHUGGHlsjK+9jOGohzkaHBLoLkS3I4B9LpTjBjgnigNTYlsJvgVfOrxbbNrIrqSHD4kjzURH6/X+ESb6wRbJfm5zV24/hhP3Bwa+ERybRVtCBHDQhQn1wqIoH+ieKy4k5SVhjomVGCWEZQFKp05XN5oKhpRnLNqRHDnn3J4ck8L9h/KYmyI4R9f3Yozlp3XN3vh8o9FYXBjR+e04wlHAMcZ4Ko1NzdieHjkOxevPJum6fBnK0Nj7b2HQuQyRbBKKO58WZw+BnmcW2kVqieopSYS3A4StMR8JVz1AGrArmmIicWaDklLElQkmYo2ET2ZspWvg/oa6dDyYsbrscVWYIYYfMIebBKouimiT1tx9Xn5A5SMCOm1pJTJ6EERYSUWssyEBDqT2fhERyuKQSVFBJIC4PnobCTIuw7c3JK+WfOXXx2G4XdyuSNLYJhqO2aZcKLW2NiAhzfed0Mhn/toe0fngO8G6B2M8JO7cihW03KCVlXXxC6WqQeV1AZ33Mft2JLki/IE2BODStQDe4J/1xtkJvusFWKkqpF6e03arCpV5ntDSjGpRFI+VPvGjh6zrAQxOHsiUVn1WdJfrbQY52nGc3IyZsqIcWFPPS+njEepBh7SnoM3rxhDR0sJxWqEruldA+lM5qN33rX+hlxu8uI9x9KmHE04lfbd7/0AH7/yNY83N/l7HXf8on/73mjqh3d2ooI84HqSZ7gghMB3gBTleha0ZJSgij+hctA4USisWUQzSWvspIiYf9tVr2BECcKICgSsZAi5j14SImV+I2LQWE8uJ5zJjda5YQEdMmBp9TXqD7H6raeUXI9plbkeH9iiXNzW/vUnayLR7M/a9E5OQAsPL5kbIZ8pYowtHl3QM+u948Xoh//4D2+Yit93yu1ZoShm6+nqZekO/HT9+p7w6aGO76WcfWkn5WOsyiHqYSQiBVXRzEQILNGjcWiAW3q3BkZcMXaigaW6KCbHnmg93ttYt6+r1eqwlEmbpewl4lHqDSiJ/gExLkyaYi51DLjxeRj8O06ykDsrFzvEYFLxdcg+ojMnAEqpTIJQWQ+igKf4eTI1katYFQfj5RSikOHyC2eVvYbWd/xiQ/7mk2aMHpMb/kjalCni0bR3rLkZo7TdmcZ3v3700DM/eGjrrvTeUYahMQec+vAdgpzDkaJyHh1JRVQyMaG2kmKBFoblhnET1LPe5pLa1jtWaYj1FHC0Nba3xevEiCU3+qx4cBlTbnyvk3zSUPsJpMIO7G3xGERNUusYM1HHse/23KRqmz435vQy6qmoz5sxqa+qFAzxfUC8jz1TB4+LrxIG12Fw3RCeF8B1qhgapdh7oAXZwinlrmmtb52xyF9b6a1G6Wnvetax96xxcLN9a81lOLdjX3TrAyf/YvVZ3Vf819UtxY/83V6kSRFgHB4V5QfVJFFmIgM1gF4DVCAB+kQupnEjwFrGD1wAupJBkjnr7YcZdB7ObNfr5hM8mC23tlqt90pydCSCrlQfYtXDtuJGv9bJY24uXPcGB0/ybWvOTbGMIrPOuJh7h/EqvvYLF9+969Ti3qHZV8xYdOYv/rIx95yAG3iWObjZbvnNzbjjxgtw4cVXbZnRfsGux7aRlff8uZqOeBo5D0g7HD41ZEEqvZgUBtBrLXNMP+zcy8lnUiP2dtOaUmLTH0qspc2nzf4k9zb6aC0Hr+dRrTtgtl6JWonyM0BiP4FtW79XHBwGR9fb7Gwd9V1aF5dMXtEVQAuwMG9fVZRf0SjHicB5iGfGFw5v2rfoXZ/6yF0/bZ7eiksvfdNzBbvnhqKYrdp7Dc75yHyseOnYFYeG+Zfu3bizdejQAAopCs+BYXXrW23zl9sDGnvyqHoDyxgApHbQadCNmMbEA0wrbc2iJSZliSmK6lN0RR87MYCtoVDG76GUW/uaKXeOtS2mII6mIEA8w0aCehgUhNajJsZ7ILmEsV88T5OqRQkCuE4Ez6kgk2tEY9uiQ9Tzrsx1VL7/1o+24odfePtzirfnHOCq9R4cQsp33/7dtRs+98Ob7movjg4j5VI9TyIFtPV2ElUGTK+bBjdiANcoLNayfk6jDWYkgJu8AWKrbL6PrT+xQG8+NSzubwJa/V4T4Gb+qNln3AAKyDZvN7g2TYBa728CmyMONTZm0dMIiR1JKtRVzddkTvyraAshIfKFLKb1rOrLta78OGfBt/1MywnB2bOuokzUOjuaMDgy/u3/ftnZpDHFP7t23R3tfYdGMFZxRca3pCeeI60VjJBQ677U4rNe1NDjKVBmSys3H93KcWIcjBjHj3+L4vfkyMyHoXTo3Y0VzrnxG+Jtlts+EY9iHaOe48hw9hD9PZCx4/GBarYb+nhEOBzGAReimCrhYCAYHqPwUh2Y3nlBX6HjvKsB/m0ndWLADTxHg8yJWnNDDi7hN/zdq8686h1vvXjwzJd2IZ0PMVgRJ8t1RMkB3wU8V5RQMQOozFZvQGnKfjD61bqOFkjwWiTXze9I9NkuerHHVB6LpvPGCp2dMCa8jqPH4MWmK139pNrBpzHYNEpN6OlP6v1GiIjBMKIIAopq1UE1dBBFYqr0TLqEsXIZg6WZ6Ox59WDztHOuikJyg+Me39iSqbYTZsFVy+dzCMPgxgvOXTpAowPzFixp+/zHrn3Ua/J9pFwg4wOOI2rrBaHQZeXEXRKgZslP0SYCZNKKkwT49bY6d09y8KYHYwagj4XvmWElSvvWBTNJbK0VY1D7qGaF2ZvH4ko1MiIQhf3WQg1RfaqQkPWfZZCWTIoIJMAjRuA64oCZFIPvjqKcWhWEXtdHp886fafjZn7r+yccXice4ADguh7j0UPrXn3JMv/eh/YV33Zp/rrH/vw4yXklms86cByCIOAYLXHwUM1zDsEFAetCJS24ackngiCpRxMQ477mJpiEfRw1yA3qUXMME7AWdUgAO/mxxO/kGsoGn9bEJE53E8COZ8iDBHoUUYQhwVjJRTUgcByOMOIo5PMs13Yan5E/9X2bh5d/d/2jT1dfd/7xC3k9lva8ADgAEGcp7rj/iWo+13PjSxbT9a2pyptKowf/7+jwQaRTHsaKDCPFAOUqUI3EZ1RhLAUA0/FjeSURW9rJAGjTFJN72NOUJC22GkTaB5ra/9fGkxh0Qj4hdFxJErCJKEPOj+x743GM5NrgMhMHMGs/E8LhOKJSGeR5LZVdDIw4GB4jcGiEuT3doOmm/5NvnPnz5q6uvQu6n6imGl7+LCDk6NrzBuAAsPKsxQBQ+v6Pbt7e0tHzua55TX6l2PLP1eIeZ7w4hl39AfaN+HAdgozLkXJlnApgW23EcqHm3XL9SFoNPg15TK2YXF7vJr88vpmO7AstnFohsUaMNmodPYp6JOPGaw5cJ1/I5PEMRBR6MBQsyHPo0Ai+F8GXE5ANjJXxyLYGAGm8dMnsKF3o/PTpZ07/3MaN/dGys58fVttszyuAq3bF31+GW3+3Lrr4VZd/cnTkkDuw765/CsbWp4Yq+/HkniYcKDagPUPhUg7umFY6lt5i3VzaXpMCcOPaa2pSC0Y72Mnoi/eo9XZOoSmQEVILcm72cQOnBHGgCZ+coiSDuczvJcZglFJhwXW5ZSNjyHE4Un6AhvwYRqpjuG9rAZt7u/Gm1WdU3vyGc/+9o6Ptk79Ztw6XvPbSEwGVw7ZjGRc9661aHoGXqoAz57M7d21dfsdd36LNufLyT3wrcg8Nd6C7Acj5HL4rXPxaN3ekNi2PY6kOstPycBoatlWPkMT6uNqnbhyKGnBSIr2pE0cQmjo4gBonlBk4ZjuDzGJGcdyJY2jd+j1Rzh9bBydGwRbOzdtU7utw4Ul2OFyHwXMZsukqWhtH8MzgIL5z+5xw7gyy4YJz38G6uk7eUKqSq1sLHC3Nz04s9/Foz2uAm42Pfh/I+oWhA0Pf/ObNuy6/7qchbfKKKGSolg8dR0YjOmLuHsVLVUkEpiM0YpCpMADToSP6id2vwGk4c0wPKAHs0FlMEeAwQG4CPuHBTDqBFMCTS6q8jAmQKzoTx5ZAB21RyuA53JrwN+WV0d0V4K4tXeyxPaf/rBK0/U/XKY9e+8+XnGhIHFF7wQAcAPYfeAJNhXTbw5sPfPAHv/zLKbw8+Pontu6EQx1QhwrHkEvgubH3M2JAGAER44hkcKZphZ0EoGsBbwCdxO+T1psavJyqYK4jALiKgkQC2DVeWRPU2kKr36v6uXh6UQVQrteVux4QKlQoFZFIlj52HMBzGXxXRAMyxhCEDO3T5mBaR2ptlF26KaQ9XyEo9i+YfdKJhsIRtxcUwFXbuWsPCoV8z+N/2Xrto49vf/3dGzbh4KER5NIOChkHaZ/AcQWjDUOOchWoBByhVF+opjMEjqOyh0yAk1pLPmE4rAFkxOvA4QFeExyVsOQmwHW4a4KaONpay+A0DXAm6RqH63AZyioAHkYU5YqDcpUiCIUXwXM5MimGjF+F51bheI0otLwULZ0L107rWvihSmV8d3Nr94m+9FNuL0iAA0B/fz9835u/actTL+kfHP/ghoe2nbdp81YgGkVro4+U74BxjnKFYXicYWQcqIYCLK4jvKOuSwzubgNcW3LVr4KpEnzcBLdWUGoAblKaSQCOxGDW2M+M9XYMkCsLXhfgEtzaMrsC5NXAwfCYj8ExF6WyKLmW8hkKmQq6On1M716AfNOSexgtfKWxde7jLAp2NDaeOHf7sbTnpYpyJK2trQ0AdnDOdwDYNFoMu84+Y9E3ntq5ff6ep59wUi5DGAHjrtDPD4yKYKC8z5H1hdsfsoaHpUIYioPm6jCAaiUq2FMLqs/H7QiFafMT3P40AD0zdk2BTcOdX5OUrObckUkKrhshkwqRTVfBGMHgaCOGRnyMjnNUQ4amBh8LT3pJNH/BnB2+U3pX+8yz9wPYXrfm+QuovWABrpq8ANt7Dx7aHkbR6rbm9IyLViy9advmPzZs37E/ly2WcNrJRfz2oWH8/pEGtLMUPJchDW7FfidxaDmKtKU2B49GTiZgeBptec86nvUFtnyXVHyU/KemzIlnTDPrn8TTjSS1bs7F+MOR21yHoZCtoKEwiDse9XHLvY2Y1Rwim8uhua1j/OKLzh/JpKI3NrfN2Ecp3f1CB7ZqL3iAq9bZ0QrO+e7p09r3RuH4kiiKXtE9l/9Xf++u0I+2tHy4Z7hQCkewcUsLmiPoSEXXEReSI66kqppwGBEbiJbCIWiLagKc3LKsIo6aWMZcc23E9ER+VFSaMswyleAWRexhZdeLOiRGxJzh1GGcgEVCL3ddCgqGlF/CfVuA63/ZgZO720eXLls08LJTF7pRhHd2dPU80NpSGOacs2MpOP98ay+efwJtWdnefcOD+cZpt+VyhYVrf7lu3pKlb/n0qae+cvM5L+t8dFpbodzSkEHK48j4QMoXgzfGABaJWYLFsWDMtBLPsyPc9QLYjkPkQDWO+waEo4Rxri0t46qWlPlbEVeONlQVZXnDSKo/kXhv0hMm5T1mUBV1TMcRA8uIAeNlgtFxgmKRALQA6jaXB4tzHl122nmbP/r+v//0rbf8cl5jQ2Hh3Dkzbku7xUFCyIsK3OJqvcjbQP8egHjEK/8W376twXHcpus8VlzYt3/3OcWxfqdcqWDHvjKGhysoZB1k0w58j8B3iRyEikGlOlWUAo5L4TkUnie2EyKsaRBxBAFDFDGtLysr7xo3gtLr1aAWROj0IQOCQERNMum+dCmF50IOigGFPyJ/ixhECmdXyudI+wHSfhWlqoen92eRSmUxd3ZbNH/e9Ptamsj2Q0PD7/nGr1LRh684B+VqyBfM7znRl+hZbS96gCfbwMAQfN9vHhwc+MzGP93tP/3X3dED253TeBCdHoz1g0fjyKQoMikXvkeR8h1QShBFHBETzhLfc5D2HWRSBL4s7xKEQLHMUSpHqAaRdIELULsOgetQOFSsO44Y5KoXpcIaB4E4RrEsNGhKCTyXIpOiSKeAlCdumohB69e+y+B7HA4NkEkxtLf6mDkjjzCqPnz7A96fp3Wd5KxedX61paXlE5VqdTCXazzRl+A5bX9zAE+2//zx3eAg59GofBEJx97Iw/JJlUoJW7c9ibTP4ZIIlEYYKwYYGQd8z0U+6yCfdVHIEuQyHL7HEUUEBw4x9A6EqAaC53gOgedR+B6F51JNaVxHJHD4HpDyhAUGgEqV4MAAR99AgChi8DyCbNpBPuuhkAMKWVGWoW8wwsg4kEl7aG1KobmBomvGXORyaTQ1pLa1tbo3ZdLk95zjnobO15zoU3xC24tmkHm07d3/7XwAuKevf+AeAPdGYTivr3+A7fnrfjZ/dsecWTPaP14a24tyNcCt9/bi4MAwCDxkUgzplIvmhhAdTRWErIrte13s7/dA5QA2kxIWXCsv0p6oksWuw5FJcWTTETxX5NOMVyvY8AQHCyg6Ggk4Y3ApQz5DkEsFaG7OoeLOBHyOJYtmIqwMfc7FoV0nn7qc5gvN1PPcnQBuy+aaT/SpfV60v3mAq9be1gIAt6n3Q4P98Dy/qb+vd8NgHwdIJWDpxR92CVblMwTZNDDY+wha8wfR2TqOX28ENuwoIMsjBGEZjAHtDRSe4yKTIqCySlS5AgAcLCJIe0DaC9DaUAZDhJSfxUUzqxiuBvjdA03IVB3MbGjEhSvOQFPBRWOewfej2/seLX45k6Xe4sVLMH161z2VSmWoo6PjRJ/C52X7/wCfoDU1twHAEIBfA8BTu/fj7E5sBYs6XQeMIsKm8e3IZSj8VIRdfWls3kOD6z6ybA3ogUvu/wsNWjMOOppdNOZdpHyCMOIolRmiiMPzKJoLBNNaAxRyI3j0qZQ3vanzNwu6161ZNJt6tz1EweAhm81j8eKTkc148D1Q1yO9b+7GrnzD9BN9il4Q7W+egx/P9uQTG0BAOkdKWxvX3efyJt9FRxNFQ86F5wmAF0sMYcTguQ4a8wSdLQHS6WH84bEsmTtj4TDjvPeiFWee6L/yomn/Dw6xSn8JDjyYAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIzOjA2OjUwKzAwOjAwWrrz2QAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMzowNjo1MCswMDowMCvnS2UAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72583776
{'hecke_orbit_code': 13511211232527360, 'n': 1, 'trace_an': 16}
-
id: 72583777
{'hecke_orbit_code': 13511211232527360, 'n': 2, 'trace_an': 0}
-
id: 72583778
{'hecke_orbit_code': 13511211232527360, 'n': 3, 'trace_an': 0}
-
id: 72583779
{'hecke_orbit_code': 13511211232527360, 'n': 4, 'trace_an': 0}
-
id: 72583780
{'hecke_orbit_code': 13511211232527360, 'n': 5, 'trace_an': -8}
-
id: 72583781
{'hecke_orbit_code': 13511211232527360, 'n': 6, 'trace_an': 0}
-
id: 72583782
{'hecke_orbit_code': 13511211232527360, 'n': 7, 'trace_an': 0}
-
id: 72583783
{'hecke_orbit_code': 13511211232527360, 'n': 8, 'trace_an': 0}
-
id: 72583784
{'hecke_orbit_code': 13511211232527360, 'n': 9, 'trace_an': 16}
-
id: 72583785
{'hecke_orbit_code': 13511211232527360, 'n': 10, 'trace_an': 0}
-
id: 72583786
{'hecke_orbit_code': 13511211232527360, 'n': 11, 'trace_an': 0}
-
id: 72583787
{'hecke_orbit_code': 13511211232527360, 'n': 12, 'trace_an': 0}
-
id: 72583788
{'hecke_orbit_code': 13511211232527360, 'n': 13, 'trace_an': 24}
-
id: 72583789
{'hecke_orbit_code': 13511211232527360, 'n': 14, 'trace_an': 0}
-
id: 72583790
{'hecke_orbit_code': 13511211232527360, 'n': 15, 'trace_an': 0}
-
id: 72583791
{'hecke_orbit_code': 13511211232527360, 'n': 16, 'trace_an': 0}
-
id: 72583792
{'hecke_orbit_code': 13511211232527360, 'n': 17, 'trace_an': 0}
-
id: 72583793
{'hecke_orbit_code': 13511211232527360, 'n': 18, 'trace_an': 0}
-
id: 72583794
{'hecke_orbit_code': 13511211232527360, 'n': 19, 'trace_an': 0}
-
id: 72583795
{'hecke_orbit_code': 13511211232527360, 'n': 20, 'trace_an': 0}
-
id: 72583796
{'hecke_orbit_code': 13511211232527360, 'n': 21, 'trace_an': -48}
-
id: 72583797
{'hecke_orbit_code': 13511211232527360, 'n': 22, 'trace_an': 0}
-
id: 72583798
{'hecke_orbit_code': 13511211232527360, 'n': 23, 'trace_an': 0}
-
id: 72583799
{'hecke_orbit_code': 13511211232527360, 'n': 24, 'trace_an': 0}
-
id: 72583800
{'hecke_orbit_code': 13511211232527360, 'n': 25, 'trace_an': 32}
-
id: 72583801
{'hecke_orbit_code': 13511211232527360, 'n': 26, 'trace_an': 0}
-
id: 72583802
{'hecke_orbit_code': 13511211232527360, 'n': 27, 'trace_an': 0}
-
id: 72583803
{'hecke_orbit_code': 13511211232527360, 'n': 28, 'trace_an': 0}
-
id: 72583804
{'hecke_orbit_code': 13511211232527360, 'n': 29, 'trace_an': -8}
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id: 72583805
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