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mf_newforms • Show schema
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{'Nk2': 2200, 'analytic_conductor': 1.0979430277926052, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 88, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 64, 'char_orbit_label': 'cl', 'char_order': 10, 'char_parity': -1, 'char_values': [2200, 10, [551, 1101, 177, 1201], [5, 5, 10, 6]], 'cm_discs': [-8], 'conrey_index': 251, 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 3, 23, 1, 0, 1, 3, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4507928971184280, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 11, 3, 1, 5, 0], [1, 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 4507928971184280, 'label': '2200.1.cl.b.851.2', 'level': 2200, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 2200, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.0979430277926052, 'char_conductor': 88, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 64, 'char_orbit_label': 'cl', 'char_order': 10, 'char_parity': -1, 'char_values': [2200, 10, [551, 1101, 177, 1201], [5, 5, 10, 6]], 'conrey_index': 251, 'cusp_dim': 40, 'dihedral_dim': 28, 'dim': 28, 'eis_dim': 48, 'eis_new_dim': 24, 'hecke_orbit_code': 4329343813784, 'hecke_orbit_dims': [4, 8, 8, 8], 'label': '2200.1.cl', 'level': 2200, '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, 5, 11], 'level_radical': 110, 'mf_dim': 88, 'mf_new_dim': 52, 'num_forms': 4, 'prim_orbit_index': 12, 'relative_dim': 7, 's4_dim': 0, 'sturm_bound': 360, 'trace_bound': 2, 'trace_display': [1, 2, 0, 0], 'traces': [28, 1, 2, -3, 0, -3, 0, 1, -1, 0, -1, 2, 0, -6, 0, -7, 2, -2, 1, 0, 0, 1, 0, -3, 0, -4, -1, 0, 0, 0, 0, -4, -3, 2, 0, -10, 0, 2, 0, 0, 8, 0, 2, -2, 0, -4, 0, 2, -9, 0, -13, 0, 0, -8, 0, -4, -1, 0, 19, 0, 0, 0, 0, -3, 0, -4, 2, 2, 0, 0, 0, 3, 2, 4, 0, -2, 0, 0, 0, 0, -8, -3, -3, 0, 0, 15, 0, 1, 6, 0, 2, 0, 0, -6, 0, 2, -3, -4, -1, 0, 0, -1, 0, -6, 0, 6, 2, -1, 0, 0, 0, 0, -3, 17, 0, 0, 0, -3, 0, 0, -1, 0, 4, 0, 0, -4, 0, 1, -1, 0, 6, 2, 0, 2, 0, -3, -3, 0, -4, 0, 0, 0, 0, 14, 0, 2, 2, 0, 0, 0, 0, 2, -4, 4, 0, 0, 0, 0, 0, 0, -8, 0, 2, 6, 0, 2, 0, 0, -9, 0, -5, 2, 0, 0, 0, -1, 4, -3, -9, 0, 0, 0, 0, -6, 0, 0, -3, 0, 0, 0, 0, -3, 2, -10, 0, -1, 0, -2, 0, 0, -13, 0, 0, 17, 0, -4, 0, 0, 0, 0, -7, 0, 0, -3, 0, 17, 0, 0, -18, 0, 0, 0, 0, -6, 0, 2, -3, -1, 0, 0, 0, 0, -3, 4, 0, -4, 0, 0, 0, 0, -2, 1, -4, 0, 0, 17, 0, 0, 17, 0, -2, 0, 0, 4, 0, -7, 2, 4, -2, 0, 0, 2, 0, -9, 0, 2, -1, -3, 0, 0, 0, -3, 0, 2, 0, 0, 0, 2, 0, 0, 11, 0, 2, 0, 0, 6, 0, 3, -1, 0, 4, -3, 0, 2, 0, -4, -1, 0, -2, 0, 0, 0, 0, 1, 0, 19, 2, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, -8, 0, 4, -4, 0, -3, 0, -3, 8, 0, -2, -3, 0, 4, 0, 0, -3, 1, 17, 0, 0, -4, 0, -10, 0, -4, 2, 0, 0, 0, 0, 1, 2, -1, 0, 8, 0, 2, 0, 0, -14, 0, -3, 8, 0, 0, 0, 0, 18, 0, -8, 0, 0, -9, 0, 6, 0, 0, 1, 0, 0, 0, 0, 2, 0, -8, -4, 2, 0, 0, 0, 1, -1, 4, 0, 5, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 4, -4, 0, 17, 0, 0, -6, 0, 6, 4, -3, 6, 0, 0, 2, 0, 4, 0, 0, 0, 2, 0, 0, 0, -1, -3, 0, 0, 0, 0, 4, 0, 0, 26, 0, 2, 0, 0, -4, 0, 0, -4, 0, -13, 2, 0, 15, 0, -13, -3, 0, -9, 0, 0, 0, 0, 0, 0, -10, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 3, 0, -11, 0, 0, -13, 0, -14, -1, 0, -12, 0, 0, 0, -1, -16, 0, 0, 2, 0, 4, 0, 6, 2, 0, 0, 0, 0, 1, 3, -10, 0, -6, 0, 0, 0, 0, 3, 0, 2, 19, 0, 6, 0, 2, 16, 0, 15, 0, 0, -8, 0, -3, -1, 0, -3, 0, 0, 0, 0, 2, 0, 0, -3, -3, 0, 0, 0, 0, 0, -6, 0, -2, 0, 0, 0, 0, -2, 2, -3, 0, 0, 2, 0, 0, -9, 0, 36, 0, 0, -2, 0, -10, 2, -2, -8, 0, 0, -6, 0, 2, 0, 6, -3, -3, 0, 0, 0, 0, 2, -7, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, -3, 0, 0, -8, 1, 0, -3, 0, 6, 2, 0, 19, 0, 0, 0, 0, 0, 0, -10, -1, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, -14, -1, -3, -2, 0, -8, 0, 0, -4, 0, 0, -3, 0, 0, 0, 8, 1, 0, 6, 0, 0, -3, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 2, -3, 0, -11, 0, -1, 0, 0, 4, 0, -8, -17, 0, 2, 0, -3, -2, 0, -2, 0, 0, 2, 0, 0, -1, 0, 4, 0, 0, 0, 0, 3, 0, -10, 0, -1, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 3, -1, 0, 0, -4, 0, 0, -14, 0, -1, 0, 0, 4, 0, -4, -3, 6, -6, 0, 0, 0, 0, 0, 0, 6, 6, 2, 0, 0, 0, 0, -6, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 6, 0, -3, -4, 0, -6, 2, 0, -11, 0, 15, 0, 0, 15, 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, -20, 2, 2, -8, 0, 0, 0, 0, -16, 0, -4, 0, 0, 4, 0, 17, -1, 2, -2, 0, 0, -1, 0, 4, 0, -8, 2, 0, 0, 0, 0, 0, -3, 12, 0, 17, 0, -3, 0, 0, -7, 0, -1, 6, 0, -4, 0, 0, 12, 0, 2, 0, 0, 0, 0, -3, 2, 0, 6, 0, 0, 0, 0, -13, 0, -3, 1, 0, 0, 0, 0, 0, 1, -2, 0, 17, 0, 0, 0, 0, -14, 3, 2, 0, 0, -3, 0, 0, -2, 0, -14, 0, 0, 0, 0, -4, 0, -3, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 4, 2, 2, 0, 0, 0, -2, 0, 0, -13, 0, 0, 0, 0, 6, 0, 0, -6, 0, -5, 2, 0, 40, 0, -4, 2, 0, -1, 0, 0, 0, 0, -16, 0, -3, 2, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, 0, 0, -7, 0, -4, -9, 0, 0, 0, 1, -14, 0, 8, 1, 0, 4, 0, 0, 2, 4, -10, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -8, 0, 2, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 39764038
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 851, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507928971184280, 'target_is_minimal': True, 'target_label': '2200.1.cl.b.851.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 39764039
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 499, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.499.3', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 39764040
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 499, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.499.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39764041
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 851, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13515128225925272, 'target_is_minimal': True, 'target_label': '2200.1.cl.d.851.1', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 39764042
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 851, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507928971184280, 'target_is_minimal': True, 'target_label': '2200.1.cl.b.851.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39764043
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1851, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507928971184280, 'target_is_minimal': True, 'target_label': '2200.1.cl.b.1851.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39764044
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 499, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.499.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39764045
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 851, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13515128225925272, 'target_is_minimal': True, 'target_label': '2200.1.cl.d.851.1', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 39764046
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 499, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.499.3', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 39764047
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1499, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.1499.3', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '55.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39764048
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1851, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13515128225925272, 'target_is_minimal': True, 'target_label': '2200.1.cl.d.1851.1', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '55.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 39764049
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1499, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.1499.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '55.47', 'twisting_conrey_index': 47, 'weight': 1}
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id: 39764050
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1851, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507928971184280, 'target_is_minimal': True, 'target_label': '2200.1.cl.b.1851.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '88.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39764051
{'conductor': 440, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1499, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.1499.3', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '440.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39764052
{'conductor': 440, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1851, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13515128225925272, 'target_is_minimal': True, 'target_label': '2200.1.cl.d.1851.1', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '440.179', 'twisting_conrey_index': 179, 'weight': 1}
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id: 39764053
{'conductor': 440, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 851, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4507928971184280, 'source_is_minimal': True, 'source_label': '2200.1.cl.b.851.2', 'source_level': 2200, 'target_conrey_index': 1499, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4509165921765528, 'target_is_minimal': False, 'target_label': '2200.1.dd.b.1499.2', 'target_level': 2200, 'twist_class_label': '2200.1.cl.b.851.2', 'twist_class_level': 2200, 'twisting_char_label': '440.267', 'twisting_conrey_index': 267, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 2491825
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 4507928971184280, 'p': 2}
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id: 2491826
{'charpoly_factorization': [[[1, 3, 23, 1, 0, 1, 3, -2, 1], 1]], 'hecke_orbit_code': 4507928971184280, 'p': 3}
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id: 2491827
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 5}
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id: 2491828
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 7}
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id: 2491829
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 4507928971184280, 'p': 11}
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id: 2491830
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 13}
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id: 2491831
{'charpoly_factorization': [[[1, 3, 23, 1, 0, 1, 3, -2, 1], 1]], 'hecke_orbit_code': 4507928971184280, 'p': 17}
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id: 2491832
{'charpoly_factorization': [[[1, -7, 18, 11, 15, 11, 8, 3, 1], 1]], 'hecke_orbit_code': 4507928971184280, 'p': 19}
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id: 2491833
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 23}
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id: 2491834
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 29}
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id: 2491835
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 31}
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id: 2491836
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 37}
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id: 2491837
{'charpoly_factorization': [[[1, 3, 23, 1, 0, 1, 3, -2, 1], 1]], 'hecke_orbit_code': 4507928971184280, 'p': 41}
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id: 2491838
{'charpoly_factorization': [[[-1, 1, 1], 4]], 'hecke_orbit_code': 4507928971184280, 'p': 43}
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id: 2491839
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 47}
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id: 2491840
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 53}
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id: 2491841
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 2]], 'hecke_orbit_code': 4507928971184280, 'p': 59}
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id: 2491842
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 61}
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id: 2491843
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 2]], 'hecke_orbit_code': 4507928971184280, 'p': 67}
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id: 2491844
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 71}
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id: 2491845
{'charpoly_factorization': [[[1, 3, 23, 1, 0, 1, 3, -2, 1], 1]], 'hecke_orbit_code': 4507928971184280, 'p': 73}
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id: 2491846
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507928971184280, 'p': 79}
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id: 2491847
{'charpoly_factorization': [[[1, -7, 18, 11, 15, 11, 8, 3, 1], 1]], 'hecke_orbit_code': 4507928971184280, 'p': 83}
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id: 2491848
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 2]], 'hecke_orbit_code': 4507928971184280, 'p': 89}
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id: 2491849
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 2]], 'hecke_orbit_code': 4507928971184280, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 64, 'hecke_orbit': 2, 'label': '2200.1.cl.b', 'level': 2200, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHESoduo+TKgAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vG1Xed6Lf8cYs6y26+n96EhHXUhCAglENwJsjMEGbMfYjuOaEKfdJG6JEyc3vhicXMd2TOKADcY2NhhjOgiJpoZ6P9LpvZ9dV1+zjPH7Y8wy5tr7COyQH8a568Nilb119lpzPvMZz/u8ZQj+v9u37PaxT9+DlGLD0/uPT5nUmM1rfAJf8uiRLq94way49erW/N2PpWxes7DmpqtOmSf3b6EWSDas6dNqpkLL3ctgzq3Z/HKATcASMBBCfLu/2nfszft2f4DvlNvBo2cBLtE63WAQuj+I+MuP/xW7N59m56YFairg8MmPx4vmhb826C1+rydMfOpswIZZQdwf0l1OglOn5v7gxCmBSIc/dWKyF505N8emNXB8GDHZSv1hcvQzv/NHe3/t2ZOfEP/1P/z0u8+dOvIXteTJR3vL+5QhBCGkkv454Ei9tfnbfUi+I27/HzVc5PbcwQsYUZv29ZFX9BafwpMyPrU49S+6Q3m7FIYoTnjssSdo1Ze4bHObpa7ixPk66BFJnDAzYdh3IuCaS1LOXJDMTCZMNEMOnfFIdczaluD0fMy1uzQHTkhmJzVBEFCreRy5IFnqweXrE3Zvn+GKq16AwcdT0I+8O/ceGf5WYrT/6pddw+6dW+7GjJaEXP/tPmR/K2//H8Cz2+LSHMDrW83RpUePdvV/+J2P6h95/eQlvdH6X+p1DtGsBRw9cZZOZ54o9ljsS1ITUPMNE6HhfCfhwJkhm2drTNUVSsSsnQzYvU3RH4KQI05d8BhGcHpeoAgYjGIu3WbYMNNDImk2Ijau67Lv2CwLS3WatZTQi+kPNe2eIkoSpmfW0mxtRnkR1+zeyZP75n7jlsvPHdm6+8dlJKbk5rXeIeCOyck13+5D+rfi9n88wJ99+l6kEK9YWo5e98zh+bdduePCFaN+wB98fD+3XrvM3AWP43N9tqxRNEJYO6U5tRiipEEKzabplOPnazQbhkcPjeiPBLUA5pfhkrUejXrIhrUJr7i2w7NHJnl0r+C54wkvuSZl8xpNsynYtmGJuSVFLYTByPD4vjW06pLD5wM2zgyRAgKVcnZBMdlMkKRsXh8zN99iYDSvur7J8cWrqTVTbrt+at+5xXUfixP5RSG4+/W3v/LbfYi/rbf/4wDe7S5Tq9Vmzp2f+3/e98d3BgdOPJf+9PfWXri4OHHTn99xjg1rj/Ga65t86ZEpBnqZ21/oce+TNXZtHdAb+JxZVIxiQeglXLU1Zf3MiIWu5MnDk8SJYPfmIee7iut2DThw1Kcz9IhG8KKreuw/2WCiHrH3lMctl0uieERn6PHkMckNO1LaXZ9Lt0REseTpI4L5bo2N03DFti6BJ4liOLvo0x0lXLbJ52tPGl5zU4/RYIrPP9jnlTctc/2ubTx8YBMLg/6jb3/VwmMb1r5Ardn+hqjZmv2VNIkWZ6Ynv92n4P+vt7/zQeaRI8cIfE/85Wfu5RU3jxT9O9976LB3+SNPnHnZyWOn1NkLbQ4dP8GG5gSbZ5o8cWgNr7hhkRdeMckdD7d45FCfHRsNZy54bFpn6J82xMYwin1OzknWz44QwrB7y4jnjniEwYBdGwPOzflMTwhuuSrmqYOapw9P0I+7bN8Q8QJ/ktPz8OSBOpdvT9i2Bg6fF9TDGITiwCkPQ4w0EVvXGlp1UCLCVz7tAWxdpzh2RnDTFV2mG03ufEYwMRnzkmsmeGyP4d7HDrNta+8mE6mb9u47ypmH/ioNJ7Ze1U5q+9/34Y++87YrSDdsfzlaJ2bdhm3f7lP0v/X2dxLgy4tnkVLJ4aBT+/M//g+j7/n+f/Ov0jT9sV/7/aPxL/29A1eGYrLWWwppBTDoSR4/AD/22h7XXtrizEKNux4N+YGXLXP9rlm+/ETApVv7bJhqcexMwouuiNh3MmCqGQOSPccabJrRLCx53P9syv0H4brthqu2Sha7gnufk7z6mpippmKp2+LkWY/ljkH5ET/+hiWOn5tguSu48fIh1106h8805+bXcnIOrtqhGUSSo+dCphsee09JLt8K3a7k8u3z7NxU48uPBBxbGPDWV2jOz0+z9zi0RynXXzpCmikOHO3z7OF96tDc0Vc2p/u3/ObPNl+U6hv94Wj4x9//jl/+z3ueOxjOTE8OkyTR27f93XNm/k5JlERrhBDSJEtTy/OHbx2O5PsOHDycPPjIwdmn9p6deOZ4wvSaBf7NDw8x6WaeOlDnyQMxB84NeN1L2tx2ZZOn9k9x99MRU7M9vv+lkmf2tbh3z4ArdyVsmamDGSA8gS89Dp31WDeR0h4ZWrURxy+kPHsypaWmuf3mHkvLLR56znDNTsFl21LSRHBizidNNZdtEVx9ScxDzwoWe31ee5Ok3jzD/mMtjp2dphEKun2fNZMJh88GBN4IJRVGe2zdsMjV2xX3PDHNo0di3vyKNuubU9zzeI0njva55fol3nhzwMHja3lyv+bpwzF92eVX3jHPpql17D++huXBus7E7M6FnZdc6kWp/Jlrr971wPrZiWUwWgj57T6V37Lb3xkGP39+nnNn53fc+8TxLTs26Y9t9j8/efx4u3n0uCYeerTqsHHS8PSxKe7fO+Qtty6xte3R7nl0BiEf+3KT2VaH63Z7DKMm9+0xfOL+Pm99WZtarcXjB302zfaYnQg4ed6jM0jp9wc01/vE2mOmqdg0LXn5NQOeOJjgSUEYJISNhEePKJotny1rIkYJbJ6FGy6fo933GCXTxNrjmWOSpw5sJ1Q1wiDFmxoxGMHkxICdQKcXcPJCyuxUn7WTLb74UMAzJyLe8soeW6YmuP+pGk8fHXLVriX+3qtSDhyb5vApwakLCWfaKW98ZZdrttV57kiT+SU4fvbcxImHjk20Rw8zuXHLX7znXw3bkZe8LfWuODXoLxyrN2a/3af0W3L7jge4MQbg8i/e+bVNGv/3731g32X//oH71Pv/xUnWTKxjaWqW/tCjN/ToDzU7hvBHX5xh4+wCt+726A/XMIp9BlGDh56LiOIlrtsNYdDg4X2Kj9/T5pody7zsuiYHT04wtzykHiSsndbs3qw4u6BYbEs63ZRWfUQY+GxZG3H0nI8nB7zlpR6P7fe5cvsyU1MdPvd4g84gZM1kk8cPBFx1SZfZSZ9jFwSb1/rUajHTtRTfk0gpeHTvDJPNPvVgxKVbFYGsc9/ThkZjmbe+Elr+FF95JGDfqQHXXbHIDbvg5JkN7D3ic+xMzLOnDDddu8RPvDbm1IWNnFsMmV+GxXZCuwd7zgyY6j7UXD52V1Ouff3dJpAHu339c8aYM8D+7/Qs6ncswNvLiyjPu2zf3j0vaHd6/+zIkaOvuOfBZ9lzpM3iIOR9n23xr3+ww6a1NfojxWAUMBr5DEaG3pk6n3uoyUuuXuCGyxUwjTE+Tx6a5oP7e7z11R1uvTJmzVSTR/dOc+dDQzauGXLFdsG6SY/DZ3z6w5heH9o9gecZNq9JQUmkjBj0JWeXaqDrrJuMuHRzn/ufDhmR8P23xaRRg0OnJGunPTbPCrROmFvy6AxHDOKAbi9g65oRsxNDlJJ4niCOPQ6fgrXTfW65LmHTtMeB45Pctw/OLHa56bouP/zKlJNnNvDE/pD9xxOeOJISiy5vfNGQ4WANp843OL8gmV+OWewknFqUqNqQn3/LEk2/xrGDj6mF7ukralNXf7U/8u/2g/pvLy8vP5UkycE1a74zfXX17f4Af5PbwvxJgiDYcfrEvv/36OF9//7++x/YsW//YYajEVIqRiPFM8d9tmxY5qVXxcRxSJJ6aKMwRuChOXEu4Ni8ZsfGDhumoRHWqPkeCo8nDyvOLQ+ZmIi4eqfm8i0h3V6NU3OCwIuJjeLMks+ZOU0nEniex/qphPNLmmNnA6ZbEoHHupmYxa7h2h1DpGxwdqHB7s0hB46HnJw3XLVjxPlFSZz4DCLF5VtjhDB0+5L1UwlrZ0asm4nwJbT7ijCE3VsES0stvvxYnYNnhszMtHnVCwfccnnI4RPreHJ/wLNHEo7MRbSm2vzk63tcvX2S42enOHHO58xcyrmFmBPzggNzhu+77Tw/9fqEXn+G80sTnF8wHDx8lr37j+3o9eMfGsXp9nVr1z3wznf+/PJv/9ff+naf+r/27Ttq/Rl0DuD59bXd5VP/7OTRx6+9MNd/y/4Dx1juhSx1YLEdM7+ccG7ZcHRRMLtmmV/+wQVevLvJ0TNrOHGuzqkLijMXUk6cizkyp/EaPd76sh5vfFHAiXOz7D0acuiUZu+JmFQO2bou4iXXaravk5w41+TkecliRzNMNFLCdAvWTiYsdjw6PcX0RIQnPKYnUmphzEN7Qy7ZoFk7nXB2vo6vNKcXNOumDZdsjHhwb0gQKGZboFTMmiYs9QQLPcG6Cc3MRIyUMIoUix2P4+c9TswlbN8w5NZrE7as9SBtsO9og8OnDM8dTzm+MOL1L13iB142oq6mOXZ2mmNnPM5cSDkzH3NiznBgznDz1XP84ts7rJ+c5vSFac4t1Liw6DHfhvnFiLmlIVu2XkLYmP7Ey267+ZlLL9n8273+cO6F1+z8dkPhm759xzC4Xvx9fHliIu0//d+Xzj/8D5cXjl/Vbc8jRIBBoo1EG4E2GmEM0sCxczUePSS4bEubq7angA8opPTwlCRUhgvzPvtOKYZ6wBXbO+zarFk77bFhOiAQIQvtkJPnBEfPCp4+BsfORswtjWh3U4axTy0IWNsybF4XI0TKYOSxY0OMrwyxFsRpwEJHMhj5BJ5AGM3aKc2ayZTFTkhnIBgmPkt9wYZJzUJbc+K8ouYHbJiBLWsj1s8OWTc7YsPsiC3rDds2KK7c6lNXTY6emODBPQGPH0h4+nhMqrp8z21t3vISQ13NcuD4FEfPeJy+kHIuA/ehecNNV8/xq+9YYuuaSc5cmOLCUo2FtsdSR9LupnT6Kb0hHDo2z+FTy1c+fmjuZQdPzu04cnrui7d819ui+7/4F99uSHxTt7/VDL641CZJDFLyrgefPPySX/ndT8o33XzoJf/8+05788vrWGxPsNipsdAJWGx7LLRhsZ2y2I5ZaKecW4LDC4K1a5f5Dz+2wM2XNTh5foYzF5qcmfc4v2A4N59wai7lQjdhambIS6/t8eIrIJB1QhVyfrHG2XmPc4uC/giSRFMLNM1ayvRkggaOn0vo9GD7ep9mfYQxAkRAb6DZtmHEwrIHxkqR5R6MEjAYFtsRm9f5dAcKoQxCj5io+WzbOGS5Lzh+xiPVHrMTklZNEPqQJIL+SHJuUXJ2wXB+KSEMh+An3HJVj5dcLVg7UWdhaYKT50POzMP5+YTziwmnF+HwguGFV83zH39siQ1TE5w4N8O5hTpzSwHzy5LFdspSJ2apm7LcNSx04XRXML/Y5//9F6Pkba9sfb2+9id1OHH51wX6lw0+YW3i2w2Vi97+1jL4B//k47zkxTfwL//lv/r1v/jkV/+vD37ky5fuO97esf9UT952bZtLNmmS1MMYCUZiEGAkIBEIhDB4whBKOLNY46GDimt3LXLF1iGNGvieJPAVQeDRrEsavqTf89l/rMaXHg84fmFEJ4nZf3LE+tlF3vjSJa69tMsLr2hzbD5hvi9ohEOOnDG0O02uuUSyPEzZe0zRang8exwu22QYRinDNMDzYqZbsO9kiPJSfJng+TAYSW6+os+gL7n20pTOIOX4mRY7NyiajYjlkWHdVJ+lXoePfhWePJry9NEh2zctcN3lHaZnIt5wS5cfeLlh14YWaTzF0dOTHD7lc/Kc5tSFmFMXUg5fEJxYjnnB7jn+w491WT81xclzM5xfqDO3HLDQlix1UtrdmOVeynLfsNSDcz3FfCfhhVfM8w/fOCdDKXacO3NiZ3+QvKgxubNeb0x/+bEHP8Xvv//Pvt2QWfX2t5LBP/LRj/OCKzerux86/O+OnTz3b57cc0ydW4xYGChO9wxXbrvAb/3cBa7f1eDcwjSLyw0WOzUW2z6LHY+lLiy1U5Y6CYvdhPk2nFwSePUht169yA++PGLnuibLvQkuLNaZWwyYbwsW21YiLHU1nYGmMzL0hwmzEzHb1mtAEPqGUxd8hAzZvk6xc5Nh07o+55dGPHWwxY2XGRr1JfYcmqHVjIgin9lpzWAIV24b8uGvTnH51oTRyLBmUhKnA1q1kGePDan7Ta7fnfD0kYjzCwGbZ0N2boRtGyKUijk1D4FvEMKwfX3CdEvSHYT0+j6dvs9iR7G4DAttzWI7Zb6dcq4NC8OUbZt7/OAr5rn1Co+aP8HZ+Qnml2rML3ssdATLbc1yN2PunmGxB+e6inPLCTdffp53/+wCuza3mF+aYLFdozecIGjuSsPGhl8fcsl/9M2Z9OWv+r5vN3RW3P5WAfzAgQPUarX6mTOntz351J63Hzl25j/tP3SSUSzpDmF5IDjfU5zuJty48zz/5ecWuO6SOheWpllYarDUrbHY8VnqeCx1oN3VLHcTlroJix3D+bbgTM+A6PGW29q84WbNJRtrRFGDpXaN5V5Au6tY6gm6fcFwZIgSQ5qCkobQh3pomJowrJuJ8fwhh89GPHMoRCdNXveiCM9f5rG9k+zYCF94OOG2a0IutAfUPEWSxsxMQxL7eH7CwkKDl97Q4QsPtNi5ER49OMKnwe03axIx4JnDKUdP1fBkwPppj+mmoB4KgkCgBCQaotgwjKDbNyz3NN2+ZrmvWegZBmnK9i193vDiNm95SQS6xcLyJBcW6yzkZNCG5W5Ku5ewnIF7qQ9nOoq5TsoLd5/n3T83x1Xb6swtTbHUadDuhbR7Pu0uhM0t1Jrr/+2mrVf8xdYtW04Mh8PBZZft/nZDqbj9rQH4sSOHWLt2bXDw0KGfOHjo4Hsff/wpsbDUk4ORpj/UdAeazhCW+4ILfcWZbszNl17g3T+9wA2X1phfnmJ+uclyJ2S5G7DU9VjuCtpdQ7uXstxNaPc0Sz3Dha7gbFszPdXnu17Y5ZYrEravV0zUfTrdGqEvAUWUSLQWaAP9ISA0060hB08btIm469Emo36dSzcH3Hptn1gvc8/jU1x/mc/Bcz3aSxO8+No+X34sZP2MYe9xwz9+c4e9x0LWz0i+9Lji1isVi/0OR07OcP3uiHueGZCMGtxyVcCurUMGSY87H1OQCg6f8phoeHgC+gMbVKfaECeA1HiBpt0zNFsxWzeOeMmVfb7rxoTZZo3zi5MsLNdZ6thjs9QRtHvQ7ia0ewntXkq7b1jsS851BfPdhBddPsd/+uk5rttZY25piuVug3Y3pNP36fY9ugNFtw+xrunLLr/W7Lxk1zsvueTSD87Pz0WX7/7bAfK/FQBPklhGo8EbH33wjkvb3eQ9Dz/ymD+KLTsNhin9YUpvoOkNDd0htAcW5KfbCbdceYF3/fQcN+4KWO5MMrfUot2rsdwNWO55tLuKdh+6PUOnn9Dp2X+r3TfM9QRzPYjTEdddNmDDTEqvb3j9i0fs2KBJUoknDVEMdz9V48SFGhunE/YcroFucMUWxQ2Xa8Jan8cO9pmbb3L1jiYTU0s88LTPTZfVWOgvs7Q0wYYNhof3Kn7kVT0e2euxZZ3PfK/N0uIMN1zZ54E9KTP1Ka6+tMeFdpuHn5ui7jV54eWG3duGIHs8dVSwbibm/FzMPU/5DGOFlJBqw46NEd/14ohuT7FpWnPDZRBFDRbbDRbbIcs9n05f0e5JOj3o9FM6vZRuP6XT1yz3DYsDyemOoD0YcevuOf7vn1rixstCzi9Osdxp0Oln4B549AaK3kDSG0KvnzIYJbzg+ptibdQvvPUtbzzUaNY/G/i+/nZj69ueyYyGfZJo8GMnjjz2W+fPHJg5d2GJVkPiRQIpDMZQ3BEaIQwCgxApQno8cmA9v/wHHm++dZEfetUiOzdHnFuYIAzq1MOARujTrHt065LWwGey6WUXTMr6kWYwMnSHIYtzNU6dNESJ5vS5hDA0gCBQBk8K+gOFwCfpe7xgh2DXJsO2zX1GaZc7HlHsOzTNa28MueHKJT50hyEQDXZs7vP0A4rNU4o1E31qqk4U+1zoQrPmsWW94Ml9ETfsrvPy6+f5o88NCPwWr3mRwQ/7fOXhiC881OS5o3Uu2dRgx8aUtdMRO9fEXLMjRSmNpwxgaIQha6dCotin2w/Yc9C35QkDRW8o6Q2gNzT0+va7dwcpvYGhMzAsD2Curzi/ZGhMtvn5183xfbeOuHZng7PzE7R7dTq9kO7ApzfwLLAHgv7QNmhEMUQx3Hf/w35rYva31q3bsPjy227+F91u/49arcb/uQCPoh7AT5068uC7Dj731Zlhr0s9sF61LYEQuEaPECAx9i4NnkwJpeSZg2t54kCTg2cu8OaX9HjJVUOmWhMsths0OzUmBgG9bEntDSWDoUd/5DEcGYaRJooNcWxIUnuPkgCjQSqB7wlqgWCqJZhuwYY1mi3r+6yZbvPFx+DeJ3yknuS1N/q84Iou9z8XEw0nuPUFgvZgwIWFJrfs1qyZ6lP3QoaJYq4To7TgBbs9Gq0Rj++v8bIbJnnxdV0e36/ATHLjVQE/+T2LfPnJiC890mTviRrb1io2zNSZbjWYbEE9BN8zKAnawN6jgjQVxIkgSmAUY7/jKGUw0gwzudcfaXoD6Ixgrie50IWRHvLq6xd540va/L3XaJJkgnMLTTq9Gt1+YME9VPQGiv5Q2PvIMBxphlHKKNIMRpoLi2f487+8Y2YwSn7ze1//cq/b7f/BtxPk3zaAj4aLCPRPnjt+77tOH/nKOqF7NBs+KjKWqRGIwvJTCCGQEqTU9q7AUwZPaWq+YL5f5yNf3cJXnuhw2zXLvOPVy1yzs8fsVIOF5QbdQUh/4GfAVvYeCUaxJE4ESWKXelu7ZYNKz4NaAI26ZqYVs3ldn4QeB0/HfPSeGkdONpkK69x0lcct13Z4+ECbux6c4EWX1di2sc+HvypQImSiFbPcG6ENKAFrJ/p0ugE6qfPG2y7wkS802HW+xhte1CeKF7jnmVnitMbNV63jDTd1uGxrm6883ufpkw2eOhqwZUYyMyFohILAtxehFCCEQRvQ2hAn2cUaG0axvZCHEQwi6A4FSyPBYheEN+T6y5d5x3ctc9tVKbMTdRtIdut0+yG9gV0JLLAl/ZFkMCQDd1oAfDgyjCKDNoqzF9r86ce+tG4Y8a7ve8NLzbkLS3+4Yd30/xkAj8+/hzPLl9E+95kfj0aD9yyee3aNR5tmPUTJFCENQiikkAgBQkqEEAghUdJDyhQlRbY8a3xlCD1D3RMsDRUL7Wk+dneTh/b0uPW6Zd7xmmWu39VmNq2TJCH9YY3ewGcw8ohiRZxIklSSaoE2AoFBCkMYaBq1hDCICPwRpxdGfO5RyaFTAUdPTaN0yK6NAVfuVNx4RQcVzvHM4RabpxpcfQlsWLvEYmeCazZLEm344iMho75kqplw+81DPntPzIlzLS6/1Ofs8pBnj/hsXT/NdTvnuP/pLg88KxhFAVfsnOGKrSFXbOly+Owih07DI/saHDzSpOEJQk/SDA01H6S0a54x9mJNUogSiFJBbyToDAWdGCKdoM2QF17W4R3f1eG2a1I2zoQMh5MstGt0eyG9YUB/4NEbKvpDxWAk6A8lw5GVJRbUqb1wRoZhrBlFhlEMUSo5fqbNBz761XV7Dp9/T6vVTH7vDz/zoa89N89Hf/Pv/90F+L/6jd/HW/dxah3+noqO/068fHYqkD7NeoAXx0hhLIgFSGEyxgYlBEoJPKWyR42nUnxPEPiawDeEvqERpEzVBN2Rz1Jnmo/fO8FXnxqyfrrP21/R5oqtQ4aDHlfvNGzdoBjFPmmqSLXE5OCWGt9LOX7ecPScYHmg+fT9DU7PT2Min+maYtOsx/YNHpdshqt3ddBynvd9tsni4iQvusLj6l1tvvKUQCQ+66YlzUZCPw6QWVJKeQHtoeD8ouAq0+AVN3b5+uN1Nq0JeNHVM/yD75nng1/o8sj+Jr2hz8Jyi52b6ly+sc/Nu7t8/8u6nFlc5NP3hyz0Q46f9Tl9OsBXAintqqeNIdUQa0OaaKZnY669qs9oFHPF1hFvfcWIdZOKmVZIHNc4O1ejPwjoj3z6Q4/BKAe2ZDASDEaC4YgM0FaSDKOUYWSZe5jZlaNYMIhhmHocON3h6b96eM0lOzf8zotesD7+6G9e9Wfzx3+TNdv/9d89gP+zd32UG1/+dvHjvyjftrG55/1vf+nTjau212j3GyhlUMpKDyU1QvoooTKAG5SUtmxUCbz80RP4XkrgCQJPU/MN9djQiAyTtZTpuqAfSbpRk6Onmrz7z2ZAJ4gk4cZr++zcEJEkoI3GGJvEkUIglcDzA/afCNh7qEaz5tEKJGsagrWzknUzHpvWKrZvTLl8+zKpWOB3PzHB8RNTvGi3zxU7UgZJlwefCZmq+8xOGqZaEY26lUJaS9pDxWLPsNBOaffqvPTqZR7d22ffCcXURI2br5rip9+4wO99Eh4/1KQ3MCx3Pc4vTrBhTYN100O2zw75V2/rM9Fo8/RR2H9S4vsGpQxCaMDY/xlIEtixIeXWaxLS2CdOQoxpMIx8zs0HDEZ2RRtGqpBvg0gwHAmGkWQwwoI409oW3JpRbBiNLLhHMQxiwTCCXizoxJJ2DIN+zOb2E1NvunHN+3/7/FzSHf7Ljy0cmzKzO3727w7Af/U3/5xLN02o++/847ccPbn4oT9+cKn21L4J3v1zbXZvTfD6DTxVQykLcKkMnvJQyuApZbW2Z/CVxPdExtyKkS8ZRZowShnFhnqsGcWaKDJMJDCKNaMEokQwjCWjNCROa+w71OSpfZAag4W21ca+hEDZmo9WCFdvhIk6TDYl0y3F7JTHuhnYtmHExrXLxGaR3/3EJIePTHLDJYpLtkh2bVnia88mnF+Y5MadkukJTS0YEMoQowRJKhHGkKQRS70a5xd8briizgt2d7n/8RrrpwWNWosbdmt+/i0L/M4nNc+ebrHc0yx3FXNLHmummkxP1JmemGSiEbO2GbP9hojQT/C9BKVSpLDBhMFeVHGsuDDnESeKOFFEsWIUZ4+RZBRLRpFkGElGkbABaiSs7IjscR1FmiiTIsM4fx+GMQxjwSAW9CJBOxa0I0MyGvGCbQu862cv8MorzzaWFhof0vJ/aqN2feLMgQ+mm3b/xHc+wN/1X/+ciWaoDpy48NaTx8/80dN7j9e81gR3PGIdgP/4022u3JLiqxSlUjypMwmS3z18pezdM/iRJPAEo1gw8gWjQBHFFuhxbIiS1LoiiXNPIUkNaapJNVZvawpwCwFKgifB9yH0BLVQ0AglzYZisiGZnhSsm0nYvqFPq7nMJ74ecc8zMyzPT3DtNsX2jT6XbR2SimW++EiDpu+xdlrRagx55jA8d8Tjmq2G/khx3WUx1+4ynDubMrcUMBg2eN1NXe57esDB04pmXRIGE1xzieY//vgCdz874LN3r2GhY9i+LmWp7TE1oZhs+rQaPs26oRZqwkATeimeMlkwbs+BMdiElRYkWpKkgiQRxIkkSgRxLBnF1nmJYkEUG6IIRnFKFGegzohjlJhMa1vWziXJIGftBPqjFOI+N2xb4td+ep7bb4Ll7iSd7tEafuNPVBj+fdTMXx7d8yfpzmt+9Dsb4J7Scqnd/qGjx07/j737j9dm6j4mknSY4DMPCKKRx1tf2eatr+oyM5HQVQlKhXgqxVOBDSR9he97hJFi6EnL3LEkCgRRbMFuA0aIYmkdhKS0/ZJUk6bWXUhN5pRkbknuzihpZU/gCcJAUgslzbpgomGYamnWz4xYO90lMct87D7JB78wy7pajWu3CbZt9NmxSbN94xKfeNCwuFjjig2K6QloNWLOH5NcWAoJdlpArJ2UTE3BwaOGpY7m3HyNy3bUeNWNXT53b43ZFoRBgJJTXLNL8DNvuIAvL/CZ+6d57nSN9Z2YdVMJk01Fq65o1CX10CMMIPTB84wFuQApHJBjL+xUQ5oKkpQM6BCnhiiBOE4tKcSZfZpookQTxWSgNoUFOYoFg0QUkqQba0bDmMmwww/ePs/bXtHj1dcLlrst+oMacRLS7x6tebXg/X7D94Tw/xzLM9+ZAP/AH3+SVOsf//ojR/7LocMnJ1o1xSA2TBmNQdGlxRcfVTz4bI2zS/P84+/vMT0RUwttxtHzUnzPx499Ai9l5HtWmsSSKLapdMs4wjJRxkpJAnEKaWqdBK1twKW1yXs4M3BbgNvAVeB7FiC1EBo1TaueMNVKWDs1YM30Ml/fF/End9XZf3SKHZM+uzbAlg0BW9bD5ds69JMOD++doK581k4rplow1RoxPZkQBB4iS1wNRgGLnZjlvqHdS7iwFLBtQ4sXX3GBux7ps//0BI0wxlcBQkyya7PiR18zzwsvv8Cf3NXi4T1TLPQ81k0kTDUSGjVJvaYIfUHoS3zfxipKkdmHFuUG28OqNQXQk1Rnq1tmLSaaJNVEiSGJIUpsPU6cGEY5sBPBKLGSpJsIOgkMBgk6GTJb7/DOH1jgX/5wn3oYsNxuMBjVGUYBo9gnTjw68ycmgqH63em11wR7n/z0B6+8/k3feQBfXGqjpPqp93/o4+86ceL0bC0QyMQeYJsj1CgkXdmgPfT4L3/hs/fwEm98WY9XXN9l/ZoR3W6dwShkFPmMfJ8w9ogCa+/lAI9jSZTYZTdOMk87JbP+yJhbog0luO0HyJgbPGXlUuAbaoGmXkto1RKmJ0ZsXNPhfLvPez/t88VHZ1hcanLpWsG2dYLN6wK2rBPs3DTEC5b5yD0eR0422b1eMt2STDZTpBxxes4QehIpwBhBFHtsX9fhEVI6fcVSx3B+sc7uLTW+/xVt/vIrAcfOh/hejBA+2jSJE8mNO5fY/sMdvvh4nw9/cYbHjjXZPC1Y00xp1lJqgSD0BYFvYxVPYQNnKYqaDIO9yLTBOi2pBXwO8iS1ks6CHaLU1rpEefIoEQxS6MWSbgKDSJP0I7as6fDyG5d40219XvdCjUeDxcU6ozhkFAX2HEYeUewRJ5Le/JnZWnPHe6658S1qOOj8Qa3+v6em/H8LwBeX2gSB/w++cOc973ryqWfXKWkIPEGhCygDO08KuiKkE3l85Gshdz/d5YYrOvzwq20V3OxUyGAY0h8FxLFPlPjZQbIgTxJFnEqSRBKngiSRpKkg1aLU2lpQqBKTZUQFmXtj8JUm8DVhkFIPE1r1EWumegziAV95xvDRr03y8J4ppgOfazYbNs5I1s8GbFor2bI+4pLNSzx9bMCn71vLpPJYOymYaAomGjHtfsoXHqzRCgxCWGANRh5vvHXE5x+yNTHtnubCkseWdS3e/JIeD+/rsvdgQDNMUFJYkOsGw8hq/R99VZvdGy/wkbs7PPDcFCeW6myYEEzWDI1AU/M0gQ+eEqjMarVMnh95C26rzcsVLsmAbgkC4lQQpxmwU8EwEfQTQS/FxjxRRLPe5wdfu8gPvabDjbtT1k/79IdNlnshURQyin2iyGMU23uUqIKITp/ct67WfOBdu664Tfd7nQ80mt96kH9LAb60vEx7uYeAH/vSl+/9z5+/48uzy8ttgsDKBoTJZIEp2FNJQygFXaXo+U1OdULOPNTgoWd6/OW1Xd76qgG33zpkdiogGoWMEp8o9oljv3AEklSRpFnCJi0BbtvYwOiypkxkn0FJnbkzmsBPCYOYehjRqg9IGfDlxyV/9tUp9hydRMQhO6YNG6cMa6YUa2cCNqyRbFobs21Dh5NzXX7/s02SUZ0tWwRTLY+JJkw0YoQf0Rk0mWoZhBAYA3EimQkViU7oxgHdfspSR3F6rs5Vl7T42e9d5j1/HnJ8romn4uzC8EiSGsNIsmE25MZLO1x7SY9nj5/mo1+rc9djU5xp12mGilYATd8QeAZfgSdtOl+IanWdBoy2F12qBamBJBXWP08FUWqTRIPUsvYgMSRJgo4jZmt9XvfqZd7+6i63XZMwWfeIkiaL7ZAoDohie55GsSKKslU3UdmKq4gTQX/QZs+Td69LU/mfd11+U7K4cOaPg6BJs/Wtm5/4LQX4YDBgarr5pgcfevT37rjzKxO9bod6qEi0TdwIIWwdSZbIUY57EUioKUFPBfQTjwujGp95qMk9e/rc/KUe/+QHuly5rcO6KcVEw7MHMfFJEq8AeZoDXNseTVukJYr0u2VundmPGs9LCIMEX0V0BjFznZjf/kSNoxemeXzvFEYHzNYF69YY1kwKZicUs1M+62clG2YTNq/tMzu1xBef0Dz23BTXbhFMtySthmSioWnWI4Q/Igw9PGX/vjGQppLByGMwjEm0oDvQdHuGxY7PuYUJbrm8x4uvWuYjX6pRX1R4MraANB5JGhDFtsdzzVSNF+7q8cJLezzy8jMcn5P8yV1TXFhucGohJFCSpi8Ichkm7bEviDyXKlgmT4wg0RBrwSiFYQKRNpAmkMRINWLT9IBrt9vzcdOVmom6IkmatLsBozggjj1LQImVI6PEWpQ5uC1751JS0F/u8PijX5tNjfd7u3ZfvzQcDj79rcTktwzghw8dYuOGDeqjf/EXl+7de2Bi2G/TqHkkqUGmxmpBkT0WCRyDlwo8aQikIUgFdSUYeIK+HzJMfBaiBnc9NsnXnxvQDEf8/de32TqbsH3TgFuu7uIJ2yImhJUrNitpa6WNcZgbg5AGJaxnbkhAJjx7VPLoPo/PPdzi2RMtoqRBy1OsrRtmmobphrE++ITHzKTH7JRgw0zCprUDNq5d4p49I973uXVsnPJYOwETTcVEU9BqJNTDEV8/oBhGHn7TgsoYQZRIap7i+t0DHnpmyhY+DVKWOz7zyyHn56f52Tec59T8Ag89uRZfAiJGA0liATSKJL2Bx3SrxtREkxfv7vPya/v88Cvn2HdS8/mHazy8r86BI00S4TEaKfqxQom89MENPLOcgNEk2mC0xhcpk0FEjZgX39Bj58YhW9bEvOP2EfVA0axZkml3LVsnicoIR2WOlrcKqK2MtEaAyGSQR3u+w4MPfn3ixKnzl77xe39AHT50ON116a6/PQDft28vk9PTwRNPPPYT6PS/dNpLNOqBBbcoPdnctlLSIKVASYNK7fKZKIGfGsLUUEsFzVQw9GzKd5B69NMa3W7Kf/7INCaJWb92yFXbhsxOJrz1VQO2rYuIY5HpbQkOc5PpTyk1Qgo+fnedpw83EZ7H8TMNTp9vUKsrJkPBVNMwUdNM1KBVF0w2FBMtxXTLY3YK1kwlrJ8dsnldh9Qs8/H7Jhj0mly2xTDRULQaklZd06ol+H7EFx+qMepL/HUgMzDFiaRZV7zu5gH3PqHpjSS9QUqn77Hc9Ti30ODKnS3eeluHx59tcHyxhZIaiDO97BOn1k0aRpLe0KPdC2jVGzTrI67cMuRFlw85eaHNsbPLeH7KU0c8/vJrDYSyhWuMzx80GtBgDHGUsn19wttfNWDNRMrl2w3rZyFNfEZRiyTxWep6JLFHnJbJIxsP5c/HgS0zS1KUPnxuU6Ye5y8sMLtm+3954vHH+jt27Pjg/n17o8uvuPJvB8BPnTrF3Nzc7jNnTr/38ccflVJKAl/awimpkYksa0uSUnvH0rK3L60P66dWA8baEKeGRiqItCFKBZEWjFKfkfaJNcz1Jvja0xpDyqcetiMbMDq751m8zCITeUWiRCpFEntI7eF7klYIO9camr6mEWoaITRCQbMuadWtHJpsSaYnYHYyYe30iE1ru6Qs8dt/VeP+Z9axaxamGxl7NyStekKjHtFsDKjXG4RKomSmwbFyII59hgPBYJTSHSl6WddSu6tYagacOj/JS68a8fNvO89v/aXHieUQITTGxOjUECc+USwZjnx6A0Vr4NGsBTTqNRphg1oY06pH3HhZRODH3HRZwjte3cdTSVGRKYSpivJM0mktEUIS+goIGI48FpY8W7eT5jFPdk9kEQNZZpZjz22gat+zVZuJFg6D53684dHHHpFCyvcOh8P7RqPhnm8FNv+XAf7Zz3wK31P1I0cOveXwoUNCSmmLXIUENFJIEmHrt5U2KGFIJCglUKntd0xS8FJDojPvWtv3kiyyt+8JEm2ItT1AkZYkRpJqj1iHpJnt5d6KLKUATwibqVRQqxtqnqGmUkIfQg9qgaEeCuqBpFGXNGqeBXhTMNXSzEwkzE6NWDfTY9O6Bd73Oc2H71rP1inFmpZmoqloNRTNBjTqKa16zNkFzeGzIbXAXtCQV/oJhpHHzg2aDWuGdIYBg6HJWFyy3PVo1Wu0GlO849UXOHL2HO//9GY86WHQpDq1xyLxGEWKQWSLovo1SWPoUQ996mFKu2tjjMBP8b0U30/xZJrV/aRZXGTvtnRFACIDuaCtsypLbeOaNJVorTIL1r5OMvAWQX6Sv86BXTJ2koE5zX6W5uc4wVZyCsmePc+IwXD4lu3bdxz+zGc+Pfje7/1f88j/lwHeqPvB8vLcLy0tXPilNB3JIJBoDUJjGTO14E6lIdVWsihlPVel7Jf10symSrPkg7bATzP7yt5NmWbPKuWslyuKQMnV3EBZlSiwJQDS1pD7Cnwl8D1jfWNPUAsltUBSDxX1mqJVl7QahslmylQrYWZixJrpPtvWL/DwgREfuXsT07WQ9S3NRENYcNclzZqmWUtoNUY8vB+e2tfg0rUm071l2nwwUtx0ueGybQMe2TNFf2Tb83oDLwO5T6NWp16b4gdftshTBy7w0N4NYBRap7YcNjEksSnqSQYjj8bQUK8paoEmDHzCICX0dJY0s+UPtubHnhcpjHW3KPVcGZzbEmKdO1I6t18dKzYDs30uMidLWELKJEiqS3AnObBTijxFkp1rraHbG8gzZ879uyCoB81G49eB6NsG8NGwL0ej4a99/jMf+Red5bNBPfAsk2qQ2lbnKWlItA0o07R8TJXB0yZLMFjgetqgs+f5F041xb+ZaoPOMnF5siJPHDlyewzgOJZklrFUOEVbNvsXBopaqKiHgkZd0KobJhopk82EqdaI2ckBm9Yu8dD+Ab/2R+s5cWqKS9ZophowUVc064pmDZq1lHotJvCHtIcGJRW+sjFHfrMnXBInARP1mH6i6Wd11v1hSrcvadcVjW5ILWyxY0PMf/yJNv/+Q5IH967HoNBGk6aaJE2yVLpiGCkGoaQ+UtQCSRgYwkARehrft36/l1VuKpWtqplMsa2Azi1L7ZuMRExWy5JmgE/z15mtaEFPAfRUVwGdvy6ILCewAtwmazgxHD12MpBe7Rd+/Md+xO/1+/+22Wj8jdP5f2OAD/od0jT+9X177vtnnaUTtWZDWuDq/AtBKi1DKy1IpSHJZEqaMXiqbc1Ewc6p/aI5sHXh0YLRxnaROz2aRa/mGMAz2Z0FlmR2pEApa5d5WSua70nCwA4AqoV2JEM9NDRrmlYjZaIRM9mKmJkYsGntMg/t6/PvP7iG/Sdm2D5jHZZWXdJsSMvedUOjltKoxcRpxJ9+qYVUCl9aS7RgcJMv4z4/+tol7nwsohuF9DOA9waKbk/RDj1qQUjoT3D51oT/9JML/OoHBQ/sWY82klTbtHqc2EKzUaQZ1Wy5axgKar4gDGxmM/BMkbH1lK3YVLKsuy8AXqY8gYxEsLmEXF5ZwLMimWZfU4A+KcBPiYnsPLvn2wV4mhqSRLBv/9HaF++6+59/z+tfI5aXO788NfU3SwL9jQF+4dwRjDEvPnb4iTpmROgrEpl9eCnKLyUzjzUVKClITfaFUuOwdPZalQytddl+ZYEubB1FDur8wI99rhzgeQ1GnsnL2dvz8roTie9LW78RCGqhnXnSCFOadQvuiWbE1MSAtVNtHt7X59c+MMOzx9ewZVow23SkSc2jWbP1K/VaQj2M8P0Rpxem8ZWwNe4i07dkq1EqSRLFxmlDksR04prtlBlpBsOU7lBS7ytqgU/g1/C9Sa7YkvCf/sEcv/KH8NBz60i1tABPDXGSZkyuGYWaWiQZBqqQYL4Pvpe3+UmbC8jsWilAZI+rYNzKFbKkEKJIDukM0JXnOfBTnNclY2vjADs1mdwsCS8vG4iiEfc/8Fj90l07Xyz/F3ac+BsBfO9Td6DkqPH4w18KouEygS9IUlOUnZbgLr+0UmUVm9YCLQ2p82W1l4PZlSEmK5By5EjO3Bf5bFKURVTWbxcFuJWUWaNELk+g5kMYaOo1Qz20+rlRj5loREw1B6yZbvPYwSG/+gfTPHN8LZumFGubmsm6oFWTNGqKRl1Qr9mLw6b6Ix7aK+gNA2qK7CKzGjxvQki1IE48mjXFLVd3efjZCfqxlSmDUUp/oOiGijBQBH6Q6ecprtyq+Y2fvsAv/k94YO86Yi2Jtc6apcsezFEgCQNt2dsv6+g9ld/JZEop42SW5V0N5HlSyDgAt/45mXwpV9uimMuQSU6XqcvXBWsX5QI58C2hzS8s82cf/XTwpje+ofFnf/H5/t97+3f/7wf4wtxxpma2TD3z6F/9Prr/MilTPGQhB7TD3JUrODsIqcJZ0kArsTprO4DWBbDLpmAy7V2cDGELioTMwJ0VGakC4Na58T3LZIEPga+pBVmBVZhSz+RFqz5isjVgutXhyUMjfvUPpnnq2Do2THmsbWgm69CsCZp1RaOuaBTsnVILE1qNIfc8FbDcrjE9XabJc8Dk2jVOFetmFa9+QY97HtW2iybSDsglNV9S8z18L8Dz6kipuXKr4V0/fYFf/J+GB/avI9YecVYBaMteLZOHsSyqCwNP4nlZEZYUKC8/NhSfL78Ic6ki8qo0yoTQ+F07j1o7j8XKayqAzs9tvmrbC8EFtilwEycpy53Byw4eOvqHP/MP3vpzNx88trz7sh3/ewHeXT5Dvzv/i0vzx39oNFjA93y0NkgNUhu0FgWLV8HtlGkaUTzP5UdayBAK9n5e5s6QnmfkCu0tKbKlue7OKwY9ha3P8Ay+bxuLa4GmFqTUawmNWkyzNqLVGDIz2ebxAyN+6X+u4ckj61k35bOukTLZMBm4M/auSeqhZf9amNAIIxI9ohuFCCXxcwYvNLjITnBWIBb7NIOhLReIakznIB+m9APL4GEg8T0P38s3oDVcs8Pwnp87z7/+H5oH9q0n1h6jVBClOmNxQS3WhL4h8G1bn5fFHZ6yJcK2FdAeJytThLMC2qNaXJhurDMG7oKEHGLKwe2CusSAcYCc/Sw1xQqQGms2aCM4c26BfQeO/tB9DzxxOIriX/nfyuDLi6eYnN68/dF7339tv3uGwJcYo9FSILUNJnONpbKxYqoAt3DAbZwrXVSu/vKACYcpyqykcdfMnLXdoDJfbrMaF5UFU7blzQI78ExRPVjz00w3x9RrI6Yn+kw2uzy0N+GX37eGJ46sZ+2kx9p6ymTN0MrAXa9ZOzEHdz1MqQUJE82IvccMdz/eJJASX+ksiCs9ivxExqki0R6vuDHm0kt6HD5RZ20DhpGx91FKf5ixsKfwPN9mf6X1rq/eDr/xM/P8yv/U3PfsWoZxnVEqiRJDI6vjDn0syL189dJFb6tUabHCKSkcgAsH5KzQKyXITRXgzkpbAnzl64LBTWYeFE6Zqa4CBoT0OHL8LF+559Fr/90v/sz2w0dPHd+1c8u3HuCd5TOE4eSO00cf+K9JtPgmdA/fU8WXU46NpKQL3Pz9HOSmiMIry5opI/UicnddkhVuScbc4+AWBqnKbKmS1qnxM+YOPI3va0JfEwYJtSChFkY0aiNmJvssdfvcuwd+48828PShNazJwD1VN7TqgmZNFF65dV60Ze/AArwejojSlOGgRk3Zi0wKUankyxMpNtD0rJb3RowikzXu5gDXBEFK4Hv4vrRTBaRfABwB1+0U/MbPLfGf/zzhgX2znGlPMGxKplJDKzHUsokDoW8y7z93UkzB3rlUyQFefN7sQ7s4LxRidlJMca4csGuTVSo6JbkFy1ORoRWyq0id0lBY6vQ5e2HxTV/40gPpy255wT8/dvzMsR3bN31rAd5vHyXyGy9aXnjuLd2l/YRBgDG6WHJ1Zh95BUvbREGas7fzO/lSpjM2zxlaj0kRF+D5IXZVYX4S7LiHnL3zUlyTVQ1a5vY8je9pgqI81oI7DDJwz/SYWxrwrj9t8OkH1zLfm2btpGRtLQN3zeruRhZY1kNJIzQZg1vtXQsjIOKrTwYsxQGzIZV6bER1hUpT2/wwEXq86oY+D+2P6MYhk3ljb6QJRrZWPfBk0YCtpI+QNkGDgSu2Sn7rn3T4/EMDfv0D6zk1P81gymMqELQSTSOBMLajlwNlBxr5eaApRREE549uoO5emEIUvSIli+fk4wCyyE0Yl8UZi69cvV4F9MoVXfHok4fYuGH9W1rN5p92e4Nj31IGj6Ment+47PyJe/5pd/4paoEAobMPkINWZF8kz37lAJYlaxtT+Vlh++lSjuTJhfwA5gfR5e/McUNAkW7OXQCVA1wZPGmB7SkLbt9LCfyUwE+oBTFhENOqD/C8Pvc8lfKHX5jgc/evI9ITrJsQrKlZWWItwNwnV9ldZMztsneM5434+nNT9COPjQ1TFJZVGTwPsiVxoqj5ihdfOSDRFuCDWGSjGKy3PRxpGxx62WyYzN4TWXLdIFgzJfihV/ZohWf4wBcG3PvcLOfiOv2aZCIxND1jQe5lcYgyWVxiMpDnx1CUtePSbieQH+vxHQVdkOOAOj9/uQNWCUYd4OagrqzixWpeZqftv6e4+4FnecG1l//Tt3z3S5/odPsHJ76JkXDfEODD7hHOHbsDP5za1Fnc/3KTLhAEAcakhT7WRVqXgrlzttZal6A35fK8UmuLysEh+3KrpShF0TiRS5M8K0c2W4Vi8lXO3L6ytRihHxMEMTU/otEYEgR9/uwuj3f/8ToOz83ghzU2tAQzYcpEaGiG0Mw67OuhzXbWsoSQrV9Js5XAypP5TkovCgiUIpCmCDDzz28oywvy1HaU+NT9IRumBiz3WwxikY1bs7GC76eZzacyu1NZgFcCV1v5+Kbbetx01Ry/8SdDPvzFtSwmTfqhT9OXTHi2Bif0IFAUzRBenvSRZaVnngXOE0AVTT4myscD0HGJ6TK7Hgf8CtCLCtjz38Eozlxoc//De18+HKWb5hfaB5/Zd4Jrr9j2vwZwY1I2bHvZju7inveNOk8RBoCogrtkYbmS1QspIhwpsgqo82SCwZa6rvJZBKZkkyz7Jl2AS2PnqlSYO81AnhB4VpKEwYjQH3DsfML7P9/kk/fNcuT8NBMNn5kaTIcprdBkqfcc3DIDtyySQrVMe4eBvXAmmiM+8XWPg8fr1LIJXEW7GCXKizEOxurwOPG4Yjt8z01d/vCOWXoNj4nYzh4JoyxuUBrPk9b9UDgg952TZVeFbWskv/wjfa7deYr/+bkZjpybZDGp0/c9mkrQyIAeSGMvnMxlKla//Ljm9iFWn5cANyt9cofNCz2+KsgdYBfvi5UMPvZzSwweX3twPzffeNX73vw9L3n9/GLnG0qV5wV4msRI5bF8/qEt3cU9u0gXCQMfbRJn6ciBm7N1KU3GGd4Ft63bFhVAu3q7Ujjl1EkULW/FY1Y0lIHbuiY5e6f4XmI7d7yEMBwReCO6acR7Pxbwgc9v4PTCFFrVmZlUzASGyUDTyJi7UaTvZVankkmTzDsvwB3Y7OUojjh4KqQXhUyHmYuTJ51yBsxll3FqUmKPiabHzi0RKhzSjVoMAkE9tjNIgkxe+ZlE8XLXQ6iLBK+KtZN9fvZNfd7yinN84PMd3v/xWeYHTQZejZqnaHiCujKEibFsLq1U8WRZ3pBnOceZHFaRK+65c1l9BRsLR5+vBmac1T6XKflhU5yZ63D/o3t3TbTCLd/96hcei6MYP/C52O15AR4Pz6D8ibVSqY/1Fh/2fV8gZezYdmKMrZ3XJkUbAav8vLww8qu+fM9lgvJAOgc3q3xT2RJdsndWJadSC3AvxVMpgR9TCyICP6I9jPj605I/u2uCj983yzBtEQQBs4FgKtA0A0MjNDSCEty1UBKGkjCTJjYxlDkTGcAD32Y+j5413PtYgyj2CZtmRYCZ38rUtiWCKLZzX159U5ePfLnH/lNNBrV8uJEhSMCPNX6kUUpa31oKpJDlcB9KJky1JNGSRuixfmrAv/7BPlduG/Hhu1o8uneSuUGToQrwfY+aJ6hLCGVmo+b2qsy7sKjcGQe6y+SOVMk/Tw5yF6wF4PNjYcQKVi9Anv9Ojgfp8fmvPu2/8btu/tj5ufYLFpd7c39jBvdq03LUefZFg/nPT9aCTlkR54C0BK0YY2tXlrjsnYVGztJTee7cyuIfg8yZvEgp66Lc0+pug5dNx1IqLeSI58W0ezH37xH80R0T3PX4JIvtFrJeo1VXTPmGiUDT8A2NwFAPyFjbMnc9lNQCRS0Q1AKyCj2dgVsT+lZ/K2/EgVNwul2ziZVM31YTJ+XJt32QWdWdlkSRx/oJwWVbBzxzIqEf+8UckiDCgk+lmUTJEzUwXqdRsWZTSZza+vC3v3rA7Tcv8ZUnunzoixM8uneChW6DtgzoBR6BEgRSEGb9sZ60u9QpUV6kKuurHQd4UYJQYrwEtvPcBXMO3IKxyZKA2ftpfrFm4M5BLoHlKOF3Pnz35M/80MtfdNsLL7uD5xke9LwAl8mxMPSi/zFI9zYbtSF2/DwlK68At1wV6Pnr4sIogO2Oc1htNxWnNiKTI6JwTXJg50M7U5RMCXI3Q8bMdRPueczjC/e3+PS9k1zoNBG1Gn7LZ8KDSd928tR9MtkB9UBkd5mVnGa6OxCEOXvnAPcSgiChFkQYE/PVx0OOn62zZkbgS53pWFE2+pZfqyw/zSTFYOSzfb3g1Tf0+eSDEb3YZxALar4hSCyLj2LjrFKq8KsRsiJT7F2WjQra+u31cMTbXzngu25a4FP3dfn8/Q3uebrFhXaDgQgYBB6er/CEwJcCX0p8YTKpZVAIRxq6Kf3VzlwV9CWohcPcJejTDMwpFtyJKUFdanpTXMUP7Tne/JGh/h9P7jt7JTD4awN8qa1ZHg7+XrL8ganpyROYxM82ZZLo1G3slU6wKbPXjIFfFktWlcHdcGWcvcuAkhzUOXMLk02h1YUcCbyYWi1mOErZfxqOnVF89EuT3PHoBBeWmuDX8CZ8GkrS8g0tT1P3DXUfar4Fd823Mwltmal07iL7uclArguQB75tTzt8RvPM0RB8P1vmjZOir1gQFQ2apnmjgB3nfM3OEVdt6bHvdINBTdBIBGFsGCkya09n7J27KbkFWWqVwmfPrEitVTZ9wGcY+dTrI378dSPeeMsydz7W4y++3ODYmRr7TjeIlkOS0GPoeUglbTof8LLHnMkL2ZKRT87mqwI8X+3z700JaE32WJEs+QSyzC/M+0Vz0zzRdJba7NnzGGdmn98qvCjA55eWRBRHP//7f3xg6tINAS+6LOHG3SOkEkglSWNJHCnSAtQZwHUJeuNqdHIGz3WZcHRb9dAUulvkB89hbaHt6AeZEoZ2kmqSppxbgC99zePwqTp3P1zn9FKdw2eaEIaohkfNUzQ9Q9PT1kXw7eD8mm/HtVkQ53eZ3VUGcDLNnYHbTwl9y972woo4Ogd7jzXwZdUeLCQKZT146fVmTorO+hoTn6u2D7hsXZ89RxL6iU8rFow8CBI77FI5AJdSIKSsMDkuOzp12rb+3PZRxqnPyA+YqEf86GtH3HZth9NLHb76SMCRkyF3Pt7gzEKNdOCjpUccKISUdqUQ2d8jC56hlC3OqTTl6Sz0w4qg0Zhs0pYTeRd9tXkTdAqRgUQjvASpEm6+YsiLLx3xiiu+subV3/UL//T/+rFD7xH+pasZbxcH+Ls+cAdxnPJXn+mB3sjOjUOu2THk5S8cctXOhI3TCZfuiKgZQRpne8VrmbknsgC13Ym41OFQMngG41WYOw9kckmSt1hZfe2HKXFqOHJS8MwRxZcebrDnaMBzR+t0RiGjKAQ/QE34hErQUNDwNHXHBw69vE4jL5u1deFhJkuCQBEEMrsATKm9/TQbum91fi2IMTri/KJkZEI8TxJIg+fYbGMEXoA8NdV+xyjxEXisnYmQakgv9ul7wjodcVkw5ildyUBKUcALcqsWgdGyZHJnMJKfqmL8RH8UsGE6Ytv6mBsvGTGIBvz9o232HAv40kM1njla48iJGnGiIFQYqdBCOl9Oln9brLIaG1ybx3nMwFw8ZqDWxoLaaIgNHim7dkZsno65YmfEK24ccc3OhO3rBFKea0aLX/mhSHjv+Wsx+Hs/9EXOLnTVx+/eJ4a6ThRLnjpa45nDEXc+EjHpJ2zbHHHN5RGvvWnEq26IwKT4nqHehHx7bbQdpWa0w+AFqFemxQq2lrZuxAaVmjgy9IeW0Y+dkvz5XSH9WPHkczUOnQyZ7wWM0gC8AJSPmlAEUlBX0FCGmsKOM1NZ4ZGyrB34wiY9XHD7kiCTJWEAYUDmmtiUue9pAj/JMqIx9VrEhaWULz3Qot0NmZ4UeJkXLx0crDjvebau0OKS0UixZlZx+y1D7nx0wIl2k4EvrUzxwE8Mfpx71pnHLlNrF+LOOpElYxrP+RsW6EGqSD1F4is79iH2rZXqxzSDmNuuSXjxlSPe/PIhB05KntrrM4gUH/5Sg6PnfBCS/sAjjVRevonxcoCvcm4rADeVR5EYhDYYUtCGetMm5ASaV90w4rUvHHH15RHbNydMeoLZlkRrO5NlGPlEnf1C1m5Rcyc+lazdtnKn5Ysy+IaZ1ntNv3udVAIh65jUQ2ufuX7AXJpydDHlgT0pf/mVmDXTMUYbbtgd8fbXDG09eAJrp1Kuv2ZEs25AW4CLi/1BRDGcp90XPPW0z0LHVu09vNfns/fVGMaKYaw4ey5AC4/Y+Gjhg+chQg9PSgIlqElDLQN2qAyhMrYG3Ms8X69k7iDvyyzArbIeTVGwd+BrgiAv0EoL9g6CGKUivvaE4pMPtlCBZ+22iv6+OIPnXrjV4ZI4VQyHPm+8dcCnv97hw1+dpJfUaGY63M91eJwnZUzRLSSELABm/5R0tL4DcJ11wHuWyX1PkXgeXpJaoKsUpewg/elawq2XJ9xyeYwRI976yj7D2I5z+8x9IY/sDaiHgvmO4qk9AZ2+zFTSKiB3mSzT2M2a4foXRKyZSmzjS2p4+2uGXH9ZjNGwdsowPWVQSMAnSRX9gU+SZvNYYo+U+Lpmc/q9wKpbRqwA+NJSh6mp1sR//h+fulymsWoogzCSkQjQWoHyQSdonTDSKefaAeeWrVY6cMLw2a/ZpcZow+R0youujWjVbU3wWOXUCoCTuQ7LPcWjzwR02grpSUZaMjKeZSbh2fYg6YH0kFLiS2HBLA2h1ATSAiFQEKhyRp8FuSgbHjzbCJA3HrvgtgyfldX6OYOnzj0h9GKMiTg9HxCNaoSTkiBLe6usKq+SxXTttMJpomDWVCui2Ge6pdi6JiIQQwZJyCAR1D07BDOvIckTWkq65a2y+Fv2b8hqAk7b57Zn0hn9kKRZ3kBlmw4kxEmKitNsTnuKlAlb1uhsxdBcuW1IZAZIT9NuCx59xmO5L1GFYqkG1ePvaG0B/uLrYianDCa1x6KuBApbYKWNJE0kibbzWKyc87LZLHZKbaK1CqPB5Rt2/eDEaNjphLVq7+YKgB87PY9/fuk9T+w5+sp2p0fD81Da4AnBSCgSo9DSsxEM2vYkmRSMIUHTzt+Xhs6S4ezdztJU+brVr+wub0YIdD60kKzmVKgiyBFSZlZWDuos7SzJNm7NfWPn0cs66RXZ1nsU4LZtXYogA3fgUZSYWgbPWNzTBFl21PdjwjDm5LzmT+5sghfgS1EGmIU8ESsY3HUX8iGhFmz2REaxzztuH/CpewY8d75FL/VpJHZTWlsFaMpOHJXnBMpgrziWRdwmnQKv/K6LWhjPU/ipnZfiZ0C3ibM021LGWrA2uM+2cZQpnjAIk7KmofnulxiQaeGoILRzfsfPubG2sBEY7aETO43MGEESC+J8tmQWQ9j4Lge4Ko5VkkqSpE+/c/CVw96x9xid/qNvyODv/ZMvI6UI9h05l3V6GBACJQy+gJEWJEaSCGntHOk50a8B5QQPQGp09Uu6LO4GR0IA5TKbBy/5NoJSCLuPjrBp5VCYYiqWLzNQy7yp1ikk8nDmoFiQB17ZVV8CXBayJQxM0dIWBNoZnJPgZ+wdeDFSRhw/J5jr1BCeRyipyJMiPS8qp7YiHSrAy5yOKPGZnRixfcOAfedGDFKPYQphasfb+UmmwxMKZ6nMF6hKp0LuVNlJu3kXjXCkkcZLNamSKC/fvlxlxWppZXOwwpoV+WQsXVi3wslRFMOE8k8g8vO/0lwwhbPm1ieVrlxZ9lH6+lrLYsXTxpCMTrF0+lN2995vBPAjR44jEMSjPr6ynyefBOsJy1CJsdOlYiNIyAtlVGH95F/BVPK3F5Enwm75SraU5yxk/dZ8KhU24SAy0Mp8trh9XryXkX1ZCkrRYBsoYcFeAbe0j0EO9Dz4pNieMMiaJHKJ4ntWnwZBTELM579e5/xcHX9SEbg1HK6DwpgiHavN0GNJn+HITrB9w0t6fP3pIZ2kRt/zqCeaKEunK1kWROUFZxZo+V/KA82xNLjOZqoYSJXI5tEIEiXwUpntYmfLHnKgl8k0XSTYpNRO4k1XknDlCApnoJBTqFWsLuAU1lUtZWNEtvKIAuRl+bUoHLtUQzqISM3JVTFWAfif/MVdTDTrL/3op+6+ae5CSqBAY/stlRCkwuDlCQpJmX3KMlGaPH0/VtfNajqMIhuWe8RuIkFhgZ3P7sjBrmSpcVUObGn3k89HIbjALuagKGw/4moAzwPOXHd7uSwxmd6u1pIHfkzgR5xrax4/VAcvwMvkiecUKBXfbwzh9gQ6TQFFX6osPPE49rnh0hGzUwPaSw36iaKhwE/sd1FpNrg0dgGOBXnxh2Sl7scUzSYZSJQm1QJfC1IlSZUmVYIkA3niFK/l5RAyB3kO6izYFcJusS6krlZ9CgcBYzXxLtDLPElZwFct+8jjCWf2uy6nbeG1blq39dUvPXnw9vu3Xva61QE+HMVoY7471eb6OI7xfS8bt2ZBrUReJ5Bnm7IagrzONz9hRZBTBXdB2pRxiMwWq3w5l5QnbLwOQgoK7ZlPqVWiLPW0zcV5p4qVJaroXimBnTffWvbONLdHobdzS9Aydgluv6hOjBHEfO6+kK/vaSFDj0AKO3+7qCB057PkJ3Y8m5lngEXBSlZjKgZDn1uuHvA9t3V5/+daRGlIL5XUUrtXjifLasVCpkiZsbj7py7G5KA9WXRc5eBOlUQpbRldymy0hHZKkcsaIOFUcuavc9bOU/oUTH7xW5kfKRl9vJ7JLeTLVzyTxy5JQmD09Trtfzcmvn9VBj989BRTk63b/+zjX/qRc+fnCH1bqSYp06daWKbxjJNSpVrgTrbLrnsix28uwIuDQRUQyql5kAJH15YaVymcIfrl5Kp8TETB4lk3jK+q4LbjFMaYO+vZDLL2Nt/LGw4S5x4TEfMXX50gNSGqyF66AWbZ15g7GxUNnh0n43Y+ZXahDTY9BD5vf1WfP/38iGUdM0hrDFKBn1CwuJQGmYii6MzaheNaVFJak8IBuSD1spENKgO5Z/trvVSSKoNKbQWjDTBlCeiczStlFG5yLi+xzQTIuEZz0OBmtHPorKg8dYBezku0MiY1Hr3uAq1h90e27Lr97s7y6TsnpjZXAR5FMYPh6NJet7er3+0S+gHa2OqxaofFGFs79b255nal94oChfEqtJy9MRWAy7Hn45ozZ3J3tke+J43KwK3U2LCbDNieEqWTUtiBtuPeNiabjLnLANNz2Dv0Ix4/JDl4poZRPkpKAqmtpHLrNBwBPu6i5PeihU8Lx6+2II8Tn12bYq66pMeDB+rEKmCQCGoS/NTgJTb4VyLrwkkyHY5EoMcO/Wo1+SWbp0Vlo613seDO2tmUccCd1wIZu214Du6iynNch5fnNmfzlXRnnPp/p4zalSmUF2euz4u2SOMxHPUZDQe70mR0qU7jO1cw+IW5JXr9IYPBsOjVSzVIY4reuPGujLKeYGVxzWo31x6tlFw6etVNjihRgl460iTfv146DJ53uuRMnu97Wd3+O2NuZ/iP7banAHaRrSyYOyXwbGLHdgXFGGL+8qsNFhbqiNCzvrt7EY7XoFTPZUV7u6xa8aa1Io491sxI3vbqLo8fmmCU1uirgHpqtXhezqokGbjztUJnnrihrASRVGrvi/Ed5YyaVIOnyaRSviJlY68LKSLL51KX50mWzC0dFi9qiopjcHG5Uqkfr7x2PnPB5iXL56PwotGQQW+BJB4W/2YB8A9++FMoKZlfWCYMVAEyrfOdCUzlD7uFM1AFdYXBnZNbXKPClSj564szeN4Emyc1Ch3uMrgqH0u5IlFeFeCBlw0A8vOtA7MMp2fwi1S8zp6nlbunbOfOc8fhY3e1GMkAJVWWvazOZBnPYI6f1CL0ylnc0Za68Hk9wtTjba8d8kd39Hn6SJ1Y+fSlJEh15h4JZDY2rxi/JkVR9mBvOvtb1X2LXCYvwW0nIXhpPlZCWylU9G2WXVRK2o0N8vnvbqdVWSjnvC7O/+oMWNXipctiR1CICvbc72DryX0unDtIe+kCxrELPYCTp06zZfOmxr/79ffuPHd+PmuHslJOqCpj2z9sHEmSR8Cr6+3VGLwaZTuPosrg7lKfA6dkc2fcgTP+wJ3a5Hn5Jq+Z9lZj4M7T937emKztzJCiRSzv6Uyye4zyIw6e9uhGASgvkydmrDx25fequCiOHi5OlJtK127ix6PpCy7fPOTpgxGpDhnogFpqa7a9TIMrYTdrtYmlnCXzFoES5OD6zDZl4bkTDwyobDKwp8k6iAxSlxMC8ulaaXFBVVsIbQ2WWzBXoOSi9ePlZS8qF7/rj5fHzmH0otkd0iQhnJnZ+eJX/lxjcf6n+jNrNlqAnzp1lqWl9mu3bVr7i48+tgdPZfNHBMiKHGHsj4/p7ot95jG2zsFeYfIVzO20SzmsqJyxbJVHVQ7ZlI4scXcx9hWZF27BbQFcDgXyXXnisrfK+jqDiMWu5r/9VYuFQQ0R+laeSFNZVcrBOc93Mp3jqkWWJ3MZ3DoqSeIx0fB45/d3+crjEyyMAiLpMZCSIOuhLEc+ZIDL6nrIbMO8jNagM3DrInPodtp42Si1PEjPwa6kyBjcSqJUlrpbyVJ/l+ztNkQYZyUz3/CYrHZ8yJjbLXOwx62UXNoIomHEunDtL54+eeD+OBp8qmDwRx5/jjAMOXDoOEmaEASBzcSLand0gVdTlSGrSpIx6nblSf7oMpwoEj0ZwJ1soHSkSd4hUwG4KsePKQfUnpR4mSTxCoDnmlsXQaXv6QLcvpfXX1TZ21cxQRDx0a/6PHu4DtJHSkmYl8aK8iSX/Yv2C160mtBh85KJSpAn2racJYnPNbv6vOm2Dn90Rw3thQxkQChFkfRRUhCLfATySiYXLpOPW3E50BUoY1cFbYQFdz4lTNtpweVYCXtRpc588WKrSGfeuBTlao1YhcXFKuDJ2dohyYsC3XmephHLiyeQUpGmdmMIq8Glj1A+RtjUZQ6wsmin/CO5EVL1uC9mBjrPxjSY29s3DvSCxZ1ZeUWQ+Q0BLkuAF4meHODGzsnOpIivSrfEd4YDlZrbsrfv2alVS23NZ77WYr4dQi1zT4QTjF1EoiDGqiid1W+FbWfKLJ1OczfFY3pC8b2v7PPprw9Z6IVEymOQysyeFJl7IwqJIGV+vEsdbkzZ9aMLNi9HM3i5s6Ky59m0YC3tVOD8uLsgF1KUM8aF29ImyvNcyFK3n9Miyerx1ThdFCUrOYqNyMEtwBjrEzm6XQhbFVqveyRJagH+zLMHWLtmZsdX73n458+cOUcQeNXioGoJwQq2zgOB1Ri7UCcrAsyS1YTMgSDG9LcoLjTlgL3oKJflc7fDxQ53pwrufGeDnLmVw9wrGDwfN1GOnPCUzVwePSY4cLyGJkRIr2jOLasHqxKr2ulSwq2yIrqZuyJlXzoqdtMnD4zHFdsjdm0csrCvjkkDy+KplSme4+KUHrSoyANbqyEd1ytjc1P65FqWmtaNbZTOxmNLq8+LhFYRF4mCsfMZKrlUQZixCVnGuehXllC7kM/T+BTHTFQwZyr/ncfSwnnWbrjy5y/Z/ZIn584dPOYZoxmNRhuEMLcvLS/amYMuVs34PzL2KZ5HmrjTSccdFDGmU4XLAHJMhzudK+5Q++JRkY0CFmVNSuWebWmtXHA7IM/2q/ez0tCcvVX22vNilIr5/IMtDs7XISjliV9kE8fl1spxEeO36syQalo6HdPiUeRxyZqIN9zS55HnGqBtXfRASvw0G/KZVqVSuVK6JysDuTGORHHkisyey2xVkfndHvs0WzGkyFhdU64cefyhjXORuyxOJlPEqtgoS7DKn60YAmVWwWBxPBVLS8tEMbdHUbQhScwxL790pTDZdhuCiy0aZpy6VwO4I65cnbUiqHRAXQBiLEBzAS1EFdgFmyvhNOE64M7mE5bbdrAS2F45IKgY8ebpDOSJlScqpt6IeHC/4lNfazIYBtDw8KTAF1VpMv75xwPrlcdzTH+PWYauLx4nHpMtjze/YsgdX+/z8P4A0/QZpCGBoLjQlCjZs7TqxNgJ0xUo2eAzu8CUZfNUWj2uHdbOE2s6twu1cHaGEE6g667MK+Osi81WgYvHK+PH7WK3fF+gPNPuRXHMKIqJYzuOLR8ks/o5Ec/7j4/hu3ioTkMqAb26PCmf51Ik362h+twCW+ZpeukERMotmzV4XjlC2cs2YfJUFeh+wdb2rpQNMIMgIo5S7nigwXMnGuD7CKkyUGX1Mk5wKWSVxcdXrvwMleMzskBeV1PQbo9rbhdGkceV2xJe95IeTx2rM0oCUukz0IogZeyz5PqWMQYXVarK7V6VX2warQQqD+CkwCjrpuV6vFhRpd30oJhlqMtVoxz7JrIk0EpyW3FcVgGdKKI88fzorvy7KVrHaJ3gfezjn0cpxXK7QxB4xbL6zVo5K8DtgNh9T7jPRZnGtkt5BnqHAQvWFiVjS+mA2xn5qwrGzgFeTk4tJErG3JaxTcHUXvFYPvez4NJTMWEQsee44M6vN+gPAmj6SJFXDjrFX6tlMfMVauzyz2tR8iiqOkh+LOHjFGBFsU+rFfG6W0d8+p4hTx0JwQsYakmQaXGlQaWl/hUCREpm1wlbKecuvU6ew1OU0kVaNs9XlTzI1yaTJU6iTehyt7biXGqnwlG7crSULOP4KIFqxlH1jbFXMInP0YOPc+bUQYxO8c6dn0MIQZwkxcy7CiAviuTnA/jY8zHHBDH2XgHqcYCPsXaWns9H/I6ztp1u5Tz33PngY+DO7n4+hTYr8PdUYu9ejO/HJCblc/fXuXdPHWoeSNvQ7DslvJXSWPfuvljltrLsQRQTE3JHpSjwz4A+Gvq8/Jo+b3hpn2eP10gS634NhIefljX0Ii1ZvPwIqzO5W3ahVM7cls3ta7uDR67DlbSMLnNGz8+XA/ScnKpxlinq1StZXhfUuYz5ZnFnxuQgguGgSxIPMcbgBb7KwKbRSXllPu+1s8qa8teSJi7AnbYuKaqsXcoUF+humt65ZzsWeAWDO3ev3AQ1B7TvgDp3TqxjYh+Vign8mCePST721RYQWDtVqKKLSGUbqbrlBe4Fmx8MUZwyJ7pxbNeSuR0NbgQ6ta17dgqtKtL3xni8/VUDvvTAkEcP20kCsVb0U5EVfGWgS3NArZZFzLKGxlgWd4Ge3VUGei2z/XzyoDjX3tKaEFJkgM/PnXacHFkCXLrMXbB5FdSrafDnkzDuj2z21LbhGZQFuMkPuqBIkrh/5JuVKsL5FCu0VhFclO5Cvj2GFOMAt0wtHM+7sAWFuzSWj+V2HCW4ywH4JbgrrO085o21uVRRKsH3E+I04e6H6zxzqA6+D9IGl4EwzuTY1Xz7lRp8HFrGeVI0QLj1FW51YSrRKnNUUo9R5HP1riEvf5Fl8UFqWXwkAoYavFSUgV+auxbGzkUbM+FsCry6W3TO4EYZpBG2CzHbzUMYgREgjShY3IhSm49no4Uuj0dlm8IME1USdAPPVcT2NyB2oW09fGDKf8cLAzvjLhYSoaUdsJn/9BtFlGNXXPk8Z46xlPVFpMkK1haOPHEzmsoBtsi3KXEYvAB7CfIKuJ2h+IV7olKU5wA8kyiBF3PwrOBDd7QYxT40/EyeULSmKXeXYOFczOOBx0WWVhforkzReqyQaIUW92iGkh97XZ/P3dtk/2l78aVa0U+VrTJMs+RP7lqk2ViO4sTmz8pUXR5sSkc6qUyjS20w0m5UZaSwANfOOTMUzF1mn11w23yqe4zG8yPVleabDwTF2CvlSQy2B1W97/d/Z32jHvzm6dMnrxAir/t1WFQ8z126YCzZV0lR6OSK6yGkIzlkZu3l44CzRyUrlt/4PR+Z4HrcXm4FFi4JjhxxhuE7e/WUxVTZ7g9eXDQz+F5EKiP+6LMN/vTOKQhDUDWU8mgoQ12ZbBwFRYOz77TGlZlUp3xASsrJsFQC1Py7SicjmscRQoJUbruYfS6MZuuGiNPzkseeCUiEnTyghZWc3pj/LBzQuKuKqIBEOKuKcyGaar66cH4YkzZOIsaNLyoXMOP+v/tvlLMr3bwAY6+rOYNs/J3JR9TBcARbL7l+w+VX3fpl78SJk1P9fu/1gpQgUJV9Vb5hjUlxZMQqV6NzQEV1SSqZe+W2dW5xlfvcbeYt9bdx9HdW0efKkwLczkZUyoxJkrxSMGfvGN+LOXBG8pGvNLDzVyx7F537btuccD4rjAGKCrMjqgCqgEO7tSFlE4KXd61koxR0qkhVpsVTjx98dZ9P3t1g7ykfZIQRkmHq45HVi+THNs1OZCqc5T/X4dkrYyy4sD2x+W+ozOlRmbcsjSh1t7F/w+jMH8+0uHYDTDcIH/PHGX9O9XnFtFi5CDp1KWW5w2gU0el0X3/u7KkpT6cRmATfExgh0akurq5vpgTWfkBR+UDjy0w1uKjKksoBGEsUqArYrRwpy2UdcBf7zDjyRJbgLrrEs9HDnpcNy8/9bpWgZILK5EmqEj57f5O9B0vtLYW03nfRQYPj/FSXXCnGWHPsBFUzw9UG5Ion7jTZelrY2hRZpvCj2OPKS0e88aU9Dn8kJEoVCI9UeAyEwEudrCalRCmb50qQU1xseSxgH5UyGJkHnDaoVAaMMGWKX4CWFvharyZRBDp/bqoAX+GPu6B+HnCvBnBjB88yig39wYiwP8QLs3kgnrIHO0XaWXGm+g9chLhLpnY+UA5u9wu6V6pAVAKSyqOsHqB8cym7hFP0ZCqZ74fpAFtW9XcO7lx3qzyIzLc4kRpPlkPzlUrx/ZgjZxX//RMTDKVPPkGr7JrPVo8Vxf05U3+Ds5KfnMrynbkZxu1FFE7yRxa14jm4U+2RpD5hmvCP3tLjr+5ucPiMByoG7RELn4EQqDS/4Kwez/fXZAzkuTdv8g9H6dfLDOxSmkKfK1kGnjpjc5MdDy3tf1OaBytjLteAkDlmngfYF80GuwyeT1dODUlqH73+UDMYWdaWKhuHS6mRnvdEOQAfj46pfJHSWcmr3NwrvNLFI102N6Vj4jwvNksqdlQzVSZ3ga0cMBdMnlbv0rK470V0Is37Pz3B6QshKC+zBmUmT0zF9y6ejzOS+72/QaxUkSpF44Hbo5mnnWVxL5ohpCJNPDavHfHTb+ryGx8KaMc2IDBGMtLK2oapKEBeDTZLkJfALsNQlSWgXIliZMnuOeBlngDKz52xoyjz86rFynPtJnt0xYSoypRxMl3tABrK9j+d1a/XArsrnpcHPnn1HsJ+iXztuSh7O5eVezW68mT8ahVyJRjGmdsFdgn4sl2qfCyZu7AHpUF5+XYmJaCtHBkHurUD80dPxXhhzMc/F/K+v5xgpH0rT4Qq5EnRVCxXWYad4+BOen0+Ol9ZUTgevOUpe4PWujLwJh8xkWiPmpfws2/tceB4wAc+a7U4KFIhGerMTUnzz5V7aMY5h+VZNkV2NffCTaW0QBp7kReZV2EvBCFE8To/PkY4dekZyWlR6nA3a17Jbq7G5Kuw+moa3BKEySoywWuEgmFopz7lF7DA1hCYfPlYBeFi7LkrQ6CqQyuB5mqyxAV2RX+biuaWq4I7B7gug8wCxA6Ty7SUKMqtFkwy3ztmcQn+6isNlkY5uC3AfVlO1qrKEzcQzpZjqoAfPyuu1h4HeaWqT7vbM4oquDMtrrRCa48k9ZgMUt7ymj6fvL/BQleBjEErYjyGQhR1Knl1oah8NEEpU+ynVG5CStrXhT6XFvg5i+c1TCa7dnKgVxm7/PtZs5HD7G5zxkosrZAsq/CFyQ6sAeLEMBylDIYpXpzYXr40NSDtVW6c9O4K7eMGThVZ4oDdYek8mQOlPFnplZoxebIKsMUq7J0BWubsLR1wS5NJjzLALJk7Z+2Svf1Gwue+VuPhZ+poR3vbpoZcnlTrTYpai7FVzL2PB04rDmZmubkJH7eEtrqXZBZ0GokypS+epD6eTnjxNRHfc3OfP/l8ACoCITFCMNIeStiprfmgpSLDWfmA+dXm1KSYMqOp8gRQzuYilyjZ6iNLgOfn3zixlsllkqPFcbBSyluzkrVXwV0F7JlFKcjn4mT35V5Ku5cyGGlqYX6Fi7yNbwXAV7UDx4BeSXowfhXnoDerBJpje87nj7IMJldnce1o8GwKk0qtXMmHSObMLXXB3kpa9yT0Yw6fkHzocy3OdQO737W0g96VoNyxYey+Qne7vvPzsE2FzXNAOczuNiO7Xq+pdN3b/XPso93+ZH0z5ce/p8f9z4QcPi9BxIBCIxkKWWwiRUYq5JJl7IKrfkL7vpH2lTS2HjwHdCGtHB2ui+4ih9Wl/XuVhowMuUW9jHR6STNAVQmiugKUhFteAFLaXfImW5KpCYmXpIYkMaRp/mFWucJcdr7Ye2PgrjwvXpuLBJfOzrrj7C1KQEtRji9QDmOXQWYJbs/LNqjK+itLYCcomeJltmAQxIxSze9/dIJ7H6/b3jbpWe0tpe3aEeX8lfKzmpUB5hiTjwdKq+rHSqKjqsWrlYVuGa1tN9O5o5JqEumhEo+X3xjxM2/v8Gu/HzBKpM1AaUmSuSpSu+e2rFVxP+nKnYpNUT5rx6tYAKuc6bMmCZH18EphVYDOezeFI8WKfk1RaPHCSTGlVrfH0JSpqIvgD+PsYpdhNx/45CuBVw8Vw1DhecK5olymrYJ5xR9y378YyOXY/MGxq9hlajkOoswtKYCuSrCrivetswshkyWFVHFkiUyz10nB4H6Q8NVHfT55b4NR5EPdK7R3wd75BfWNmNtBcalSVi/irzTSZsAupUFZfJWDx5iVZbRSW6mSAz1JPOqNhLe8fMBd9w740qPK2obCdi3EwmNAKRmFGe/2yT6XdF4XbZzW5zYmswSlpdFikFBW822MBXcuR+0Y8FxamIxEM9Y2JU7MKpKlgi/GZBXlv6MzmUR2IcUaBkPoj8ALfIHvy2wWyipdGd8koN0PlrP1aoFlGWxU9Xeur/OfV2qsc6CrPMni6O9ClmR3rwR34aI4w9wL7S3tlNjlnuFz9zfYf7ZmpYmwJbEi194CZ0PUlSAvLtri2AgH6M+jT3JwmxwFTgbZlSqMzeQz0jYlOGW0UiqkTpHaIx557N4Q8z239Xh4b0A7kvZEYvV4hEJi7WBJGXS6IFfFJVoGngrrihSXb8bmOpcs2ffXOTlljkuuvXOyNE5AactBjIOr0qcfjxPyhSZPFmVSvfyZplgV0tQQJZoo0nidfkp3kJCkhiAY86LH75QfNP9QLujdCUartSxJh7FzZi96CGX585UTlKraW47LE+kAWY4FlDKtPObg9r0ETcoff77O+z7RwgjP+t4V9qbU3tK96M0KHU7lWFTb9S7G3u5kgqoX7sqUla1sdlZ2BvJUoaUmTe2uDHHqI5XmZ9/c59AZn/d90m71gW9ZXCMYCYnSYyW8YozJsw+vnKUm7y03JhsAlGlusCyaD4yyrG3KJFBWNmtE2fVfmBkmx1QG7gK0AmFK8K9UDu4qIKBIQllp0qpLJpoSL7eMKnUfThp6HKRVQFNeYax+QZQTjlzP26wAvHTckvKxlCLFc4e5S82tC5CXrF3uWa+ynQpUZgkqGeMHMYfOST55d5Nez4e6WsneRc23I5tEmeAR7rEYW934JpI8OYNXio4KsFd3ida6rPcogC6d4fDSanEpPeI4pdVMePMr+txxX51DZ7OTimXzVAsG2WUoBAjt+HvjILe1sZbFZfmWwVYXKl0Glwa7v1shF3L9LYStG5cmkyKZVelIvMK5K/zwsTa3YqVZLbZzPrGwe2+m2tjdK6Ym6iRxnyCQxVztamf7ypNXmRw6Bm4YlyCU+jvvzasw4JhzUjA3Ywy+OnsX22uoKotLV5ZIy9pexuSelzCKNXc91OQrT9TtcHDpW4CPsXcpTcqAqfKdHP09rsH/WjcH3ePpZyPLtL2t/zCZRNEVPZ4KiUwlUijikcdrro94zYsHnPyCz0jLQouDIMVjJLBBJ1jA5QPgHfvSKOvFq9whz9P0GZOT1cAXF2sGfp27KM75toFoiQNpcjlXsnpFBWQgKwPOnNnd1xlp5iUERpMaQ6I9UgK8TZu3LEfx6I5mPfg+KXTWErZKoFixb1YPKBn7cG6tRsUerLC489yRJbn+Hgd3ydxVgHvKBbq1A/P96/NUvJS2U0cGCfc8GvDuD06SGq90TqSHENLuA+TuKlFhcAfkeUZuFSZ3VvnnBzVj7O2k7F25onH31LSZ59xRKRJAQpFqjdQeSWL3F/qln+iw/5THPY9IdCCwatpu9BVpVQTCxQcyJZMXmjsvFsFkAM41OeV7GVhzn1yKzDpcAXRRyBBTEGE5HKgqQaq4E5kAd0Oc/KLQ2UqkpSAIfBqN1h1bNm9ZVi+4akuvuzx/2PfMzwhiO9svX5bH2Hy8hLX4mTu7O/+dfBpp8X7enOCWvJap9jwNP57EGX/ujWlvt8akkCbOBkpekbUsey1PLQre/aFJ7n+iaTflkbYdDenhKUFdUmwolW9wpS56z+reiyE5bg14fpfF9K2iYdo5nuVrUSlVEKsc1/J4ZyOKpbsS6sogTGEMa2YTQs/w8NMBywPHo80uzXyKuHSAXlaH5o85/MWKi7Nyy1BXuEOu0kEUF/HF3stLFioKyTgXl0sI2fs5OeSxSppqfC/g/IX5H396z3P7vamW3fcwjjX9gUEbd/u3/HOvLvbHJctK+ywv1XT9b1PR4uXJcaRJljUUqzL3OItXpYlSY7ZgXgqbPU+DlA99epJPfa2JqSns9oRWfwspi13cXFtwfObguD1YZtkuIrrH3l55op2TaVZjcjeVT0V/m+y5tRFtPX8qNFIrUuEhBylveeWA5474vOcPPKIwcU6kQBufUdaKJjK0iJRCe7tuiipAYLPe+WZ6OiutsIZQVpeS1R1lw7MqstWI3Ioeew/HqDBUGBoxhsPsd8dvaWrQJsEb2WPnNWoaKQUjqYnjfISuqZyBSsLCBfaqAea4PWjGgO1mME2hzS8mTUodrh2pMgZqWd3qTjnyRMkUWdScpHzpkZAPfqHJMM2m4Mv8LrNtCk1Fe1da5pzvtiI+WSVeqfrfq2uVfM6ecYCU63AKYFc7WIzM61IMWjpFWMKUAafOtvnTHqGv+Yk39HjgqYAvPSEzXzq3DwUaz4I8v0xlfoVZTZ43QUCusUVhGxb1SpmyMRlBWWCX8sSsgokc6AVuqBKHyBKPhbOSMYXrVrosYciSlsYgU3v1ed1B9iWzDJcSmaG/2upT0UjuyX0+oLuFSeXs6ALsBbCrzsm47nZZu3jubHHnydS2dqkS2EolyCzAVF5MfwS//oeTHDkdYrxst2ThV7R3MJbUkVSZW64Gbsr7iijzeQT5iom9Y46KrtSnOFNg89/Jtz6RdkcGITXS0eNaaFLtISPNJZtj/u1PtnngF0K6w+wLaFl88lR6jHS+EjkfrEj62M+uhCl+pISj03P9nZWtWlvQOi359ZIfPzOOB8dxyjFTYKxg9ir+ViWLLCiv1SAIbKLMm5ycQUrFaNil2xlA1m7/PBKrspSUH8Rh9IsBu8LYuT+60jUpUvLC2bauIlFWMrcc872lU2/ieTFJCr/38RZP7KtZz1uWSR2EWMHeShinAm8Vlh5jbvtGXuYgLsrXK5jclSUFE+Xa0qwiVcYTP5llKLJ9a6RGpxItsnuaSRWtueGKmHf+QJv/+tEporQIj3ONQKIVQ/dClMZOW3YYvJAoedpeZiyfg1uU6sYGnHkRVgb07J8VK4BesnZhYhgX7NVpDasdWWMgSTWt1gRTUy27RfnNt95OWGty6tgennjkDqSym/uM76SyUv+sZPD8/dLfNpWfl45JdeOi1azByoZHym6TVwF3ZQfe0i2pSJOMxb1aypcfCvnAx1u0Bz4EygG3Kp0Tl72dQNB1UVYso25c4iZ4cJb88TNRPqwgkiIBNA7sXJpUPHCZbeFostoUU5EqqVRIo229SqKYqGl+6q19Hns25K4HFTSSTIZkf1wKEi0Zud8lA7ll/BzIwpbQ6uzzy2xgUSZZTMbmMgvnjOOB2zoVinkqJdBLQsQ40qXIQ63E3zh7G2AUJbzo5hu56YXX0el08aT0kSorD81XpCw75UbBVe0N4z6kwDjZy5XtXBW97eznkgNaCKegygW4o7tt8LkKuJ0tpwtJIm1CR3oJ+455/PePTXBo3rdt8MJz7nIV9i6lyar6WjgHOgfD2HsXtQfzFX+sFsVtKjCuFs/Ys6wVH0vla2v5aelkOaUm1XYMSCpUdh48ZGzYNZPwj97W5dg5j4OnBcZzBZYA6ZMYybCQK2MgL0r5RPl+zta5ZBlnc1GqHeM0Qpt8DXEYPbeS8wxl8SfzY+smXscAnt88XxGGPqORj5dPYs0HwNtZzmNrQa5/GAd59corJUoV2OOOSemaODLFcU5Ktl4J8hUBpRoLKjN5ImVCECacawt+/Q8m+ORXGxjfkSYiZ29RsLcvxrKWzrzBi+lvNyeA+54L8jEar5ybMbBXkj1joM9T9uWuDKZg8+omqXZzKMvmpR5PUo0vNW9+5YD2SPKLv6U4vywgdCJBIzDaI5GSoQGhRfHB8gDT5EFk5pUXDkpWPks2PjkvsTVQDAgSBcgtgAuZ4oC3eM8YR66I8riuZoBk78WJIU3KWEAqJQiC4JyU8s56YwatdamXHSej0uFeySiukqBx67eVk2p3wKqcoLHYRVeVCZxK+WvBzGnVOVGlFJEyRWalsHmtSYTms1+v8+VHGmWtiVTZ3WXvrOZEOgwuqyy+Wt+ldICdn4hx5h4/AVXacTC9Il1viyjcrQbdAZ1lZnO17a2lU5jlvKcVSaKQWvLam4e88SV9ApFCkoB27ibFaEOsYWgg0oJYC2JjRxMnxZD+bH9NY5+X2xFmG2qlOL9X/lwX75lMVmWv87qb/HeM+99kv1tIMifTmx23VGvWr5tFSHlnEITnhFDI2fW7efSR+44td9L/FtQ3kaS6yl4OoGXBomM2nuuEjFl6tgtmzL/OAa/y+m49BvhMbqhx68/V4K7OTp3Xtt4kEZpP313nPR+Y4NS8o7tF3q2jkAICkTc0mBUZy/FsbClVLjahyY34xxbA/JlZFeNVQnfADGJMk68cepPvmuZ24bugTo0k1R6p9tDaI44UW2c1v/iTbd70yh6+SLC0l911DDrBaENUATklyI0g0ZCYDPD56wyYqSlrZsZBXs7vzn7XAfqKu3HA7gLeOIDPpkCkacKlOzfiyeS/feVrXzv2gmt32z16BHbDHinjoq66NNZXCy7zfcmrjsrFnZNcllzEOcmzcM4qoBzNLZXOLpLMUVEZsFfxvJVM8P2Uo/OSD3yiyf7DITRzxlbWv8qnP0mKTaSq25Cs3LNzRenweGCZ68UxqVJl8tJFuRiwMXr1sllTdVS0wRmxlgFJCEQWeKZaZils61prYZBFV75HMjJccUnCT7y5yyPPBBybE049RXkxGuMRaZHp6kwQS4HRpqjzzrcBMXlLPRXFU0gRkxVt5QkgN8ax5SWu3BW5MVXR34U0dgKYHINpCoNRQn8QMRw5m1Bt37EbP6gTejGD9uHSEnJcLVdzF8FWXifg6vCxAFOOaW5XgyvHURl3TkpJk2lukRdQaQfcaQl2YWtNPJWw2BX8zp9OcPcT2cjjXHM70iRnb09QDNJ0pZgSVUCvmAbgAl2UsBWrt2mveluR1CGPdEqbtpLVhMITl5VqQxBG2l2pM8tQiMxNERohRKHHhbDtw6nQ0Ne88oYR/+QdHf7TH06xNHCuSknmrgiMVERaFBrc6nEnyJTZNKz8ee6o5G1u+RfWokwO5cdOliCWmaEjMrAXbpVxLoIM3MbBpd0o1pAaydYtW3nBddfQ6/WLr8HU9AbWb7rirmgw9+56zbfAEVUJUrCuoCJLKjr8YtlHZagmbJyuHLevckyqeON+twNumYG7YgnKhKE0/P4nmvzBx1t0Y89ODCqCSq9kb5Fvv11NxY9r7GIiagH2VYbXUP58RWz+zYDcfRzLYhYjJRyguxnOovNHlxeBG4hqLYv2tnyApzZ2cFCaerQ8+Jm3dvnZt3SpFxo8AZ06kiXFGENsYKRhlMsVLUiM7aDJtXhS6OlSmrhyJN+uJdfc7s+rEsTR3vmsmFXuuU5PUoMf1Dh1duHd1193xV1btmwsAT4xvZn7vvif+nG0cDQIVFHdVz3RVMHuaO5K7bZgBZhzhyQfHFkNOvN7zt5O8ia/i5XgVmPglioBX/Pc4YA/v6tBJ84mYzq1JrlEkaLs1CnnaZc78xb5vVWOgeuYrKzLEZX3HYHyDUCe2xDOewWY3a2rq132FZ1OGXQWKf18nmERgCr7nlbZc0USe7Q8ww+/tseVl42QaToG7lybV0EemRLkaUWLO8DVwgkoq0Gozi6A8cBzVSBnmnuldCuPWZqCUB6nzy0c/Qf/+P/u79y+uQQ4wO5rv5crb/gBZtbtJs32GMzPWUUzu5Omxuy0AsxqLM1eSeaUerqsFnT0tZPEKeSJo7mlm8gRJXN7vubZwz7vfPc0zxwMMb5yZEkOcInIpImft8VlgF41Je+A17X93GDTxXD+e+7o3+eDthl7Ujgoq7yusLnbcT/eEKHFivcLkOcMrnMtrkiNIh0prr005r2/uMzVu4YQp1UWd90Vl8lNGXjmAWeqRcHiiakyeRl8Ol1KFwO2Xu2xZPPx2ZlpmnDDtZfzzp9+Gz/5o99XHONSMKo1SH8tvVGL7kChi2ySm9BxXZPV7EFHQwvXux6TJmMAlgW7rwJuJ5h0A0sp8oROjOendI3gf3yyyZPPhaS5HegmdKRlb0+UtqDL3uO+92ruiaTs4C5jEipp5BWpy+ctnngesLtJHVYbN+yOlSgDTWsNOiye24TGsQ6dWeM6Gx4kUskNV474h2/u0ZIJJCmYuCpZ9PMwecVFKa3DJGfsMTelcFSMw+au3WieB/TGlOUkmT5v1ASb1jfZvnkt2zbPFsfVK0+Ej5DhIeU1D4e11i7oUYw3hqwLYyyRw5hbUvyOa7WV7J0nfPKspX3UY8kdF/RpRaoU2tu5e35KP4UPfLLJx77cZCTLFHzxKGy9SS5NfGFrvMfLYFfocHc0W0WHr5Qn40VXK8e3XQTj47LEqUOpoL8AtCmznUYUVXvF6OMsyLQNEfYuMkdFCmODMSGzZIwtrxXCIFJNIAxve02fvcc9PvCJFr0Ye8AyF8VeaZYWDYoEke0MnhVyiOxnmcOiZPUqlvmUzvy7yvKflVmCqJIhztL5lVsWhdqd5m1vaJpqZqZbTE00DjcawaE0jVcy+IYNm5g7ed+dG9fXPrxpwyS+TCj2IF8RYOIwdLUgqmyWWK0iUDuMvrIysKK5V4DbBXZStJ51I/iDTzf5f/5wkgsLvgPqnLlzaSIq7F0UU1Flbze4LKQLVWC7/ndxNhh7/s1EmC6wnWjTDTiLisIcKuPFVpTBZpkEkqVUcUYxFzPGXZ/cyILFk1SxYVbzb36ywz94c49WmFpxO8bgVro4TG4gyvR4rEstnrhJoUKbO/tYZmxtXG2uRYWtU3MRNs9XNm0YRinN1iyo5of/6jP33rlp06ZVGBwIQ4nnh5/3fd7kB971aWotprJxuGTnsq7bsLrnPW4TltKlCFIz1haOTCn97tXBXTQvyAQZGj71lQbv+oMJzi15dsiNdD3v/J5NqMoCy9W23s719upzT8imLo0z9Bhrj2d4/pq3EsRjbL4iwHJfl+1ttuTZZLahtRJzS9FN3wusP66NAZ2NuhcWNfEINk4n/JufarPQkXz4cy2opY5tSPlcAhmTF/FCxtJG210mCk+9UozlMDmlG52zrdG2wThvesdQDG51D5atEzMoz0cb+WQQ1j4fJ9VjWvlvtl32evY8+bX7u73kUW08+0elIzOkE5jJcUDrYmaJ2wHv2oUy098rgsoVMsQtnHKBXYJb1TSHTnv8yeeanL0QlOAeswRdaZLr7mIVKti7PIDjtTQXK7Ryi89cVI9je5zpVwSO4wgfA3rB8NlrjZvRHE/ju5nOKotX2VxmLD/O4tZCTCLJxjUp7/juHru2jiDKmNukTsCZFEyOMaQZk4+yrGfiZDtT4wScGSsnmcWYM3QxIiNn9byQbDzYHHtuDISBAj169LOf+9L9P/qDt1eOvzd2Ppic3ooQgsULA5IoqqSrXV1tWU0XF0FFY1P+TpW5x5I4Ylxz52xtu1GUyoPJMXkSaA6f8fh3753iq4/VoCbH6rtVgdqKNMl7OsU4gzvyhLGCKqrgdp0UHCYfM1SqHjnOBeEAt2CiHLRuBaepXgj5KOsyyDQVhtfZlCqRt5/pbJe1DNAi34VY57uuyex3rC7XmOw9BRjEMOHVLxzyH9/Z5lffO8mRs4CffbYKk+epREUqBFExCauMC9CmHDnh1paPafK8otBlXXdnioKRhXN8MDQbNS67dDtaj+eHVwH47qtfjVAq2vv4EktzS0ghx4LLErhiDPBuM2xVipjM33bZPgsuxwJKIargzkHt2oHHLnj8+/8+ycfuahCJrCueMe3tSJMisMwArdwL1umML5yTMVAXZcDF+2IFO49fAP8rt1Ke5Mt4mapfWWnoyJQ8U5izeJHVpBJsCoMFPKUpgDGItNyZJ8UQeoa3f9eAVMOv/t4Ux+dEiRgn4CxvilQLImEDyBLAZXZT5Qc2B3Y2/d44+Qft/Im8GVpiKtdVdt1gDGzZvJG3veX2KElSfvlffgOAN1prCMLWL6xdv+OqYe/EK+OojxCy4mVXdXjVXSmznhmgVwF4FdylLBFuUkekDnvrLKjUHJ/z+KXfneTjX2oQyWzrtRWOib3n0iTIO/azAywEKxqKV1QJriJP3LT86k6gTdVXpctfB9nVYDMHe4XNGZclpmhEzmePuB65ZXN7UZo8ABU505csTl7Pr8nY3G4D4pPww7cP8BT88u9OcXwusN3HWVq+cFhckOeAdkA+XoagMmDLrMBEZq1xOdlYlyQ75hIw5Zi3HOTaaFrNJrsvu+Rru3Zu/YXldnfFIV1ROBHWJjj03F0dZHO/NmEqEJXUeq6lq40LeRbTlMB1Kw1FKVMKII9pbiEsq1cTODnIE6SXcmZR8m9+Lwe3V4J7LKDMEzqu150XVFUckpy9xwJOxoA93jNYOCmMA76k878Ovsf1eEWaMC5NxvR3sYDn7kOe7XT1dzUpVIxhzuRLOu6TO1nPEAP6WQAAJ29JREFUJFV4Kbztuwb83+9ss3EmdpwVN9vpZD+N3RIn0jDUpSa3WlyUVYQm98FzXS1WSQa5+lys0OnNup9OTzb2f/Sv7uxMT018Y4Dnt3jUfWcY1p9WHllRk14B6GqhVFVylPaiayGONSkIN1ups8KpsitHqvIx9eD9n27xsS/mzC3HgF2OPUZkPZbjTQyUBVXj1Y/jrXUueF2mdqVK1bRdXaI8H9DHsvPVHzjgr+p0so6fnJEdO3HVYHMs05kHmS7QK9uiOAFnXreSKrwE3v66Pj/1ph5emtuHTtCpnUDUpORVkbGxIB8VFmIV5HoVkGvXSnSCynylyrOlCEGz1Xh6ud1558WO8aoAv+zq2/G8Ybp+407TrNsNU1UF2FTBPRY4ltLFdUrSakApqm6JlSQOuGWKFAlSaYQHd95f5yN3NhgVNqCbpXRLYV3XpDqdqtIpX3FNvgnHpABwtRY81yOu/f03sMIrgK84LZTgznXvSgelmr43zk7J4zsnmwLo5aZWZbbTbl6VM3hqSpBrLQlSww/d3ue7XjJApKnjoqTPC/LEQJS5K7Hrj18E5G5R1sUKrKIERqni8t2Xmk4vSX/oB1636jH1Lnawt17yMnQ6+IiIn7x8aWGxmaSyZLExcAtHm69k7tUCSl2AWVaYvAwopbA7NEjP8Jn76vzC707x3JEQwjG9LceliSh2RCslipOcEjm4x7OYpuzQqYB6Fb97lXsF0N8ssldh6iqtjwWX+Y/yoNK5EMguApvoyzV2fgHIzBvXmS6XdtxwpsWtf26blm0MYexECa2cD6pQGK7dFfH//vNl/rWEz93XsHo8/7UiCjRjX1NS2NOOJte67OHMaSIf4FkeSPtvVax37AUyNbOud/trbvlIq1njX13kEF9UotRb283C+Wd+R9Wvnx+M7BVuAb4KuCsVgdXOnIouz9yS0t9+HnArjfQNn7q3zi/9t0meOxraoSWrau7sOQ57U3reKwfXm2oa3gWrG2iOve++scLvLk5R9loIvqE+yR6rI87cdL0DdHC0tKno8TyLuTIApfhZ2f0jSjlT8cFLb7woyBqrPNTaQ0eKq7YnvPuftPnel/dtzUq6CpNX2FxjjCmYPHY8cOuVlxq92DqxkCiiosUNlqACT/OaWy+fv/+RZ3/nyku3mIsd5osyOEA4cQNi2CY2T4FuZzsNrwLuimzRJXuPMXchU4QNNFWFyZPsZ5a5hWf41D11fuX3JtlzuGbBLcfdkjFpIp1KwXFZ4gC9UikoWFFzUs4/FyucE1d/V6zBcTp3YL8a0MfMkhWMRQFWVjL4WIaTDMBCuJnOMY98zFnJs50UrzNmNxmrG4nIHRqjCnYWwkAM1+6M+X/+cRtj4LP3NuwPXSYvKDf/PgqDWMHklW+fvxTZcSgou8rkAsOmtU1e+aLdzM5OPh+En7/9pDW5aSSl/IcTU1t7gmq9SQlcxsC9+gUgVwN3Aeyq5saDz91f55f/2yR7joQluCset+ewt0QU4KYqTdyS2DFbsNDjxTSAlUxeyVg6bWmV4HPsndUwvhq4V/2BA+bxt3GY2QV8md3M3nfqVModIqiU0q4ordVyxT11nhtTrUBMI8l1O2Pe/U/afPdt/Yy1XSYfc1q+AZOnKxyUrM7GYfKyzlxz6SVbe1LKf7hj68bR82H4eRk8jRf0zNodD4fBy9vH9jzTtG1hprjUqgN+SnCLPGs5XhUocoswS+AI53nWxGCU4AsP1PjXvz1VyhJ5Ma/bs6DLZnm7CZ2CwXNgj807X62DJ3+/ksDJ/q+itZ0Xxby81bH817pVJLhx3nOZfOx3CqYWJVPnzGsTPZbxjCNVBHZ2isiAnXvgOpvYI4yBvKfTkFX5WZJIi2QQEMHVO2J+85+2MUZw59drpJiSmV0mzw3uizC5AGfPIJcd7IiKVNhjnWqQQcCbvudV7St273z47IVlzfPcnpfBmxPrqNWn5jw1fNuGLdfFod/H89L/X3tfHmXHUZ/7VXX33e/cWaUZ7ctYUiQweLe8yAtmceKA4zgQeAYSAuGYJaxO4PEeMc4LBofEhJeYJQeDjx8BJxaxreAAXp43TGzwGlm2tVkjWaN9NItm5t7b3VXvj+7q+lV139FIljy2eXXOTG/Vfe/t+/XvfvX9lkqpKbZcmBXnTS23piZm0rB0GO79dR6fvr4Nzw7kTHCTQj00BJaxqBAkpSZm4jBNR7NkQWhpUFtptciYqTlDaYF1Luz16QDb4uEU2EnyocXDKb+meZ3R9bJiVVhKStRRiDSGXJedSCx4oqZwSOmYMmKTYeVCH9d/agTnn1aHI2hGEFVaKC+fmpMbqgm0uuKHDAfHQ5x5xhv8Q5PB5Z2dbfvn9s2a8t5OCXDO82iMb0Kx2r+z1rVia6Wah+s0dUqbcjMkYBeGTp5YaMNyB7EjRx3zwZ0Q0mW469E8Pv61dmwcKJDgKWW9FbgJ0DkjszFQ3p0RbwKTmiiAUsBzG8ygQKZERA8gTVxH8R8q0xvqQWkF7Kn2S9tSq2NMLy0ZkQZWGbIg0qA20tuscw35UFp0RaaTJUSTY9l8H//w2RG86fQ6nHA6IJeGhBjICOSJPk4ecpWOd6gp4VXbcOopK7aeuGrRzsc2DKBQ8DBVO2wKOGMOxNgdA3lv9EPl9pUIAxFzMugsZwVy5fChOndLyx1l4zg5Aeky3POrAj75d+3YuD0P6fEpwO0k4OZMUROzaKYt/SUxJ2pwCStjB5ZVTj47CJCt5OPUcfK/JU/PALMCLoPFr5nBx7VFz3DfSwV6qp0zIGW5NU2hXFwmE1tx8qCoNDdq1R2SxExB7kQgn+fj658ewQWn18EDEae++TAjD21LHgHalzpxWdCxBqLvyeESQgRYc9oSjI5PfOjb/3L/gOs4OFxzD9chX16KoDkOxyvt8sceeHDCHzyXyRG4DofD4+eMIYkU1DMNZMRzW44cNxdi+5CDXz5VxNXfqWLjQCtwW4pJzKc9ZofBZk05ohOKW8Z6p/h4RuY8s2fdNRWVTAQfCSmX2f0lWckKsgJRUxJrF2vcgkXDpahYJqErTK+L5OlCoqhAcHAeTTYrJSAgonorhjoCrXvHmzIAli/w8Y1Pj+Avvy3wyFMFbD/gAbk4x5cK2eTnS4DDj+VwLuNQFwkjbggyxIp5VVx23qoHf++3z9p16NAEqtXyYW/rtIp4uLky9rz4yGbmtn+j2nkigiByGKjgGR1lSGTCBMzaktO4bjcfYuMuD9fcUMOf/U0Nz08X3IyDG9k5Eg7SDp3MQaQBZit73lpqqdBSUoAUbUnwzFLf3dRIl613p3Tt+Dp0aXg8lYVO9tnuehiWXAhTGzdc97aqklAVZlhykWHJZZNj+Xwf//uqYfzPj47ghLlNoKHoiq8tOVVc4nhyP6YqofoFI/dfhiHOO2MlZnVVv/HTex7dPB1wA9Ow4KrVOubDy9d+BTF6m1/ffWn90KaoKgNohr0Zc6I5eGhYbqcgsHnQwzXfasPau0uoh056QJmRlUODqNSgkiYO22WPU9Zb3TBuDjaN7HlGnTWWbJgAOw3foxxfGjjX1EJq6ZfZxymgZWK1dS1x5eCJrHdixRNeHu1k3HQGqehAFk9spVUVFhXVByLzqmKuMyy5ep88AGZ3hLji4gnkPYkv3VDDlsEckI87CGm5Jhkgo8wgXwIOGBxJih+FAU49cSlOPWn5batWLv3VgaHRad/baZdhKlbmojExNNDdd/YnHK9zHXNKACJHDjNiSqxIQcNyh3BzAlsGPVz9rTasvaeEOpzY/U7iSritlsQpNzGYqRyoAW4V8YFWTVLVYZG2zIaKkrLapmY4JeBjinOkLTMnU1nslMNHE/Ok2I8w9XJQa21Z80j5I/uTgSnJAkq8ilyXnxDcUlrMEhSRNY8KCgUNB3khcfmbJvGXV45gydxmFF4oiMeTLmM+3kz4uCo5IVGrFtE3u7buHW898xP79h0c6F/UN+37Ov06YwDKtQU4sOvh7d1zTltfqfaCs6Y5eCSueDNBOJ4bviCwTSUr3BWD23MsYCtAuy3BrdzwdtkHZrnls2qcpAvZE5Az1pKyGANLAmayMNrhPPUmuq1lC8Cr/ZSK6L4M6UJB+joGRTGUFq1SqLITMgnAInRFKmcPNymMPfAMFWVxEfgOChJ450WTuPrKESyc1QCaWeBWg9A4zFbqchSTjRAL5vfhLRecun7dXY9sX7Z03pFAdvoURbVStQ/58sKv+hPPLGnywXdB7COl2xTfNsHNnRA+BB55Oo9v/riCf727hCZzrMpTzmHBbc8dn1CTlLfS3FbueFruOFPfpgAmS23d6QOgdBNTOckC+lS4lpjiOBl4Kkqi3NhJGltcw88YfDJdx1BREAeEuiTHlKoSUTp1jkgGmkjoipIROdcDT8TxSZRuqCw2xNcMfIacG+KdF04AocQNayt44vkCGvZANZmtCggQFeAPhcSC2Z1YsXzRLRetecNX12/ceaRwPTILDgCltqUYHrxtxCst/0C5zB7KedIKddUzC0eTPwWoQ+L7d5Zx6VWduOWuOJ7btUJeM+NLssHtEhArcCvLTbCYAV6ZHkAmfVlLy53pqUxZ6Knm5oF9dsqxkwA+UUOsfeQ8I4wWxKJblltREp2srJUWSSTB5ByAWHJS15BYd01V0nQlpY8LN6pJ7rvwBMO7LprEHV8bwvt/5xDKScnmWEZM5MPooWwKIGAORC7/0OmvX/yBr3/v7pETVyw8/gAHgK75l6NclBOl2e9tSqcrtiIqBiVyubtOAC8fYBLATevK+Pw3a9g36sFnLuB4FqAzwM7tAWUEbk9ZbhXuCiuIyqAsVjkIaM6c+QBkgNuc5YucS3Frc/AMQE/VbPe88RBQqmIcNytfpYt0mg8MMhQVDVy9nhTWF8x4SDRloWXgSJWs0PRwhsmfi1A6CAIXPOTorghce+Uo3ve7YygzPwrsDn1AEL0cUbGUxT1t+PLHLmkGjjvx6T9529FA9cgpimpO8XWAFI/mquetbgzfUeRsPAZ3ANfx4boBtuzluP3+Eq69sQ3DY56mJJxSkXgwCe1+V04cxbcdC9w6iEoD157L0pidgWnrTfumrHQrmqI2WdqKJxjPJOLTRDdrvT9x8BAJMlFQmNLCY+qiVBWma6VIFlMGKZPp/Ggp5sSaC4E4TDyuiiyTqEOIaEYpDo5oomAOCAHGeRS/LUT0PQIJ7WDxMqJLTC+DEJ3lEH/1p6MoeBLr7itj8z5lJWIsCI5qsYA/vPikyXNPXvKow4/KDr80gHv5GkJ//Atts98mx/z1n5KNxwquI+C5Ptx8gF+u9/Clf2rD/U8X0QjiojysFedW6xFStIfS1rlVuG7aa0lVEqNgPQOSrMUMa602aL3vBLQ0HsWOvsoAtrF+FPc0k5NLBjCpgS4RZ85r4CeWmlnWPJERo+toBw+JJ4/5vEA80zHT5wsJcEW1Y5AzEWcmc5KwzBGjmSeg5jL6Ilh8UyVTdInDlxwdpQBfvnIUbzmrgS99p4b/XF+KfqoZBw+Ak045of7Hf3Du1/M573/UqqWjBvjRPxoAHK8sJg/eebVXnHNdvjSvmffq8PI+Hn4mh7/4x3b8/JEKGn4unhvHs/7sCaEibVYBW+ncUT0TEmNig1tVvKVW2orvnipoSpUlsK2xugZFazqcNg1jlgHSI1UNbY6doD+RDfUbMy0y4eBIO3qy09ysmBRS6k1zccrJSUFPtW3UIHdStEVzcxeBcBGELoLAg+dwvPX0Or76sYNY/fpxoNkEGnWsXNrTXLaw57p//NeHr65VS+LI7p7ZjtqCq5Z3R5uS937Fy/U2d+3afs1Ndwp+631teHJTMZ1elrjaHSQ/R/G3ryhHjiG22NLQuDlkkhVvxJtAB8En9AP0L10WIhPw9joBrBqgttIF7cGlNvbZJl1m0JJkHz2mLDSxzojXE/THx5OZFhLqIrXFZhT4sVICRI6g+IHhiObajDR2kcSZIzbQ0rbk6m0qiy55XKA14idMlWlD5P7nLD5PCkim48udIMDZrwvwD585iB/eM4k7HuoVi+Z3XbN4fuff7d57oPlS8Xk0v6Sp9uLWG9HTWVh15/3bn7ris79wxoMykLc9kbraFJJ50jW1UPzaY1HEsKIpdNBILTcj4KdFfNLVYmVCWWjglaY1zOTzya8BM8+LxwVRXxYHbzHrWPSTrPtEFIdzZvWJnVIqAEw9uOp9JfXWdR8nmRSMLK0yekpRUhPsOklpD5qJpc61wpxJLL9R/yYz3zbO1srKxyX1bxjJEzDWuQ7nYPEEvrm8j9FJH/dueGc4OLzyDQXv0DMffPd7XjI2X7IFB4BDwUrMrXVvEl7vR95+SfWbP/rZr7kEHUyq33st/TFogGrHjQYyRzpoioKbHwbcOlY920Krp9uw2PQY09vm4FPbBGvTNBlHYjosS63mi1e0Q+ncUJaYcHI1oGRqYMk0l1ZpaQx6QGrwd2jrLoBEuxZxggLn2nKrMsfavR4lJzMhoq9VMjAmIJkDKQUBfsTzo4chen0mOSQTUQEi4SBkAn7oodx+vrjorBM/8viWkzbN6xo4FtB8aRxctRXLzsT/fbTRvOziC75bqLZ95oSFCwDpAU5e823mgnGeWOY8j+YfLbCo8lQqE0cVE+Jpy50qv0a5MQUvBXUmBzcL19Pj9AGggDWAnsFYUrieAuhZWvhU/Yz+SQBWRnBW0pfSElMf13HjJGkCMPi4MXtE4iVVbntz/h86naGQHCLkiVczVJJiGHs6QwdB6MIPXfhBDs0mhy8Xo9GsfabadfF3z3nd7mZ//5nHAprHBuAAcOEZq7DhhT3h//r427dc+Z7zx+b0dUZ3k0elHJw4Z7LIgRIHClwizyVyXEYDSk4qUClg00pUKQudPY+QES1oHc+y3lnABsyCmsmUdsY+C7/M3rDXDodiilZrnw1gSfg46W8MImECGimgm8FWVBNPwEwegtTUKEmeJ7ceBpoYwRGGesAZGPp4tM/3GQL0Itf+jrHirPdtCRovhm75pGMFy2MHcADoqBYxNjy+7j0Xn/LRz73/gqEFPVUgCOEpYDtA0YmBHYOaxpQ4cfk3o24gaPCUnY5mUxJNTbgFXtu5Yygj1ljQsOCplYxmD0yZdXAaLRUxCBPrqc62g0ear2WWdrPATbeF3geYgVZ6Yqs46VcBXpjKCy05YQBdaodQAvJAqSsckCGY24li1+8PFWprPho0xtYxp3IsIXlsOLhqc3pqAIA9+0du/qPLznLHA/HVG/75gZ7hg6MoOizh1kotYPG3RXlwKn8Sts6dxcOppdaad1YZZCTrVkEfQlsSqJCHRPHkLMuvr3oU7TCOngTIypHDlPNExvO3y7TaYvBrDXTKxRXHF4xFE8oKQHCpSodCIpp5mDMGwTl4nDksCE9P/C8yDsvliOe0ZPH3an4wVbmXSwFHCnilLlR6LtmX73jzX0jRvDlfOXJX/OHaMQW4arO7a9i1f+R7H7xsNR/Yse/a2//jkR6PCzjcsjDqg8MEmSrjkK7ZbeVV2hREOXSIhp3m3bQ/ufnQoKZLGkxlApqcQNZbOX5aNXoPSCyVNehEIg+y+OYZTh0KaqkGdXEHNahkxOETv0D0fEgzLFcdi9+UgAQXCuTRi0QZQ4irY5F7Ixg4U5UT6ZhB/0pE95DD4Qzl0un7Ch1v/Txk43tOrvN4QDEp1XLM299e9xV0LTzriWrR2xc262tGh4eLnmvFhjCmt0ksdyLNIcOip7h2lpVv0U8dV/KdfTyW98x9zFhPrpPsZ4nl18fpMXKcLO3sfuPXxjpmb4NGNSZUy66AS6oFJGMIosxbx6Jts8aiunj00DE6riZNx1UmYwH1INH8zoSTu/B9wCstHsqVFl41Obble5XO044XDI8fwAHg7p/8EOdd+I6nZ3WWd5Ty7C379g/nHa5lwuSmMxI8xXQtkyTEtRW4jYclnaaWtW4DOFla4E40agUcC9yU0uhzmT6HTw3wVn8g103vs/pawDb6Jb88asBMB8pZjimWAfgE6hrkGvcJwDPXlYueJEuEIUejyZArLR0rVhZ8NAzxgzn9V0xTSzq6dlwoCm2lPES5o3KL58wJAHbTE88MFFzHRcB09hOjlASWJYbMAKll9cgDABsAwJSASmnjCVcxvzZKo8jXnmwbVHoa1MTm3invJokzSZyoJHZEqvdC6Ifi5JqmaP6dcG7ltYSyyNLg5OqloeJTIOP4qYh+IM7n1LNeyCjuhCGK0krCCCS5N9EANQwFitX+er4074MC7WuDZv0lueGn046pipLVrvr4uzEy1ggXzJ21dtGC3iveuGphnSGIbn4c0JNwM1Bwk6lRrD8TtGm50AAj3VY/1dZ7pA8GYPUn17Dodlp9ASzrRq4/jTaVLm5q4NEr0kAqtdsuKZHsRwz0VrEr0lRM0uGytBCmqaOLRG1hMMdV8UMmGJpNoFBdWi9Xe6/Il2etBcbDE97w7uMNv+NLUVS756drcfq5l8gF/Sc/V+Rjzxfy/Hde2DXijTajmG+HM2tqPwJsDsN627SEQfcxj5n81qQV9lggzctTdIJybjWIVZRkSjrSmqIAaQqVuc/67KlfKvIQw+hjTn2ojkVLpiCfHKX/NW9XCgw9Zq4zYx3xdxpNwe65PupNCemtmMgVFrx/2UmL1o7s3SuWrHrvywG9lwfgAHDvz9bigvPOxlV/9s8b2nOrXvC5f9FjmycLMuQoONHMw3QeHSOYKgvciGMuePrLp/RFAzYNYLMPs8BtnYM0QDnLGGhaS84Pw8FhAdYq6wyY74luw/o89EHQPJtwcEa2ybX1rxF9QwS4jGzRN6ZWJN0HsHjKm7zngzkNbB1aMPLcniUf/u1P3nfL5avnYPkb/9vLBbuXD+AA8NOf/BhvOv9juP7O+ev7ejoGl8yfs2Zk+FCpMTGBvMfhOZEH83B8WU9ZmAZ2iq4wMlC0wD/14NOy+CRwij4UakBHLbZp6acGODLet/2AwT5ufWYCtezBKZBpe+3BpcnDTEtugFyar5qUk4s9oNGRAPliOzpmnXZg0fxZnzzr7OYPeiqL8LuX/NHLCbmj9U689LZrz0Hkct4HfnjHw1/54dp7ew6NjkQTesZNl+2yrDeODNzR/rR1ToM8G+BJ1CDPsvRmhGASTUgAzgmwsyRKkyaZ6pGSTo1xSBw5qPvKFK1L7ePUr0ArAqttGtYgU0sOxKGw0qCGLCplG2ve6jGS4CxApVJC7+I376vNPv9zUgY3ermuGcHZcVdRWrW+2R0YGR2/8X2XncMqOVx76+139wwNjYBxN5qvhYIc9pdjgdoGOvR51JqB7LebQQGytlMeR/3Tr1orp+R0WqYaQ9WSjNdIFJbkAtJUU+K+UkUUks+fePZjixuFk9Ngc70UkLETJ/J2MqWoQCsyQjAEIYMfSBSKneiYe+G+9tnnfV4CN3q52rGGz7TbjAEcAGptZYyNjX/37W89I6iWnOvvuPP+ju2DQxibQBKfqcFs1RdEtuW2eW0yWIIFdoMmaATZ2/oAWbAWXV4CwhMvZotjiRSY0Z/mbRrHEYengp6rPZlxJ+0ppbMu6CcgWQow8DhpU4LFFjz+VXWAyYYHJ9+DOUvOPdjZe8pVocBNufz0SqwdrzajAAeAarWMpt+8+YI1pw4NDu5aevrJ9ev+7a6Hva2DJXSUNOfmGQDOstzGMSLzqUb70X0ADm/Z4wsz6zgYOWZw3+mhXVvaxBADzJRPDfc9dD81vqPWXLL0dRNgE/OfXAORxU/SeHhi4+MPIw1Lz+J0IHVvyoU6Nu6Q6Oo9y6+UCn/eN//ULa5X/InrTV3a+OVoMw5wAMh5OfHClg3rrnzvJbmnNj01MRzghh1rn2OQk1yFzdrARiugW9tx15ZUxSjcQ8CZ0rkz6Am9ftRH2Ugb2NlAVw4VxkwwJonyiKMBmbSuYNIR5dRRIGbUusvY0tLXi0ErVbAWAEgCZEHfso5NYbFgyOLECTAJLkIUC65YsvwkKb2lH5vTd8b3d+7e3uxf2j/DqIracXf0TLctXroSj7+wrVntmH3zvPmLV160+oQvnrB4NhhCuLRYJqagJgT8+gfZbK0YCD0+VTvc+dO9ZhLHPc1rUceN2s7qQ/umfEOJ2mEFZ9FYcXJudiGhqCqtHzDU6wJefi548Y1fnDd3wcq+vo6bIZ56xYC71b2f8Xb9t25FqbPXGdv9whf37Nn3hY1btjvDow0wzlPWHMjg3srCxp9w6kAmRtQJrY5Q5UI5ebQCYi2JoydZB71ORhwLQM41t6mqklA0bqstdJ80+jIQ5YQDZrgD9fySmTrUrxbM/aaTKcrJFELAD0uodSwI2zu6/3rF8u5rduwYDhevetdMQyfVXpEAB4Bv33grPvyBy7F///6//tHtD37mP+55LD9xaAQcYRJ2m6YgaSfGVPSFxzs4KMAtuZAmDpPzFPBNoNNt/V5sgEf7oOM5kuvaQWZIgdiWDx2uAWnmqB4G1PF+ep+QyH+6XwISFhH0vMfQ1lZC26zTG7PnX/i3tfbOLzzz+I+x6uTLZhoyme0VC3AAGBsbxc6DEtUCrl2/YevqH/xoHfebk6v37htyXddJ3r6hZZNPprmxCSIT9K0dPAaIlRVn2upT9z1X5/IMhw5aADzjzw5P4NwGrrbetu5NB+ScUzCndXAKcHWPFCD0VOyKmkiEYYhSuTMoFb1frnzjxaLWveSXzGl+fny8DZXKsc3COZbtFQ1w2r7/f25HLudWR0YOfef5zQPv3Dm4mw8NT4AxB64DOHHGkFIajA9JAWtYc5Y6lgVwm57QUFqDnhjAJkukH6jUe4JNS0wLzimIeVRGYiqAM64fCsbS6zbAAX3fOAc8V8BxBHxfQKCCWvts0dG98F9y+cqfijAYW3nSJTMNiWm1Vw3AAWDD81tRKha6d7w4+IkHf/H46zZtH770qfWb0VF1UC5EQJcyKp5uZpC0ADgB33QAbmwb4Latd7wNGPIh5eVZ9MnwbhKa4ljeyxQHnwLg+vMRy821R1I1KRmCMFq6rkTBa6JUmERbZz/qwazb5i06eX1nd9/fN5v1/Z3di2caCtNuryqAq/bks9vRXqssfPTx57/+9H89f+lzG55B2BhDvuAiCBiavkQgpAlgo9iPydenBXAFaJ5d7Mc811rGd9oAuNpnP3jIpii60E96uyXAYYcSa9e9CXKGMGRo+hwTdcDhPmZ1F7G0/wT09Pbf1ta18pNB89BArrxkpr/6I26vSoADwI5dB+B5Xv+GZ7ee2Kwf+sTWLZvW7HxxE/YfOIAtg25i+RQwk/l7uB5cKvAD2WGyTgbAkypVNAPISFUzs30ouEFoEVq+dhY9iWmJYcXT60r5sAGuXosTcDtcVb5CMlve01s5XKcDr1/VjxP6lz5QqeT/vqN78dOhCDbnCrOO5Ot5xbRXhKPnaNr8vi4A2Cyl3Axg/X2e6Dv/7BXffvrZp/qfuPFZp8CbyLkMrhtljcNKQVNtKik6laVDwKIHsCoUgCRHxEBu1Wi1Ksa0A0a9TOKdpAnFNFmGvBf7ZehnU8eohq5YieblUdx2rRJizpLTwnl9r99cLYYfXnjC6l0ANh7NfEOvpPbqfvekCf8ghAgWbti0Ze6+4cKt/37n/W3bBl4sj42Nw3UZci6Q8xhcJ/rI5kSjtvXUVthhptV24nXHUFdo/LdpuZNFsq5vObMeGMYsiZBYcYcDThxOrAaZmYqKFS0YfVaWpAe6jkDOk8h7IRgE8sUyOjrnjC9efu7owN7m5bW2JTsdxxlYOG9mov+OdXvNAByI55NhjB8cHqutf3bLmVKIf3ri6Y3Bk/+1sXN0eKhayClHhUQootxCIGsAyiyAxeB2eAw0BlVckyYcUycO5dy0SZIfA6OfPs/k2grQGuRuPCeS41hhsgrs0Do4gIhfB9FnzntAtSzR3V0b6+xZNtTRs8zlnH+os2fJf3q56gggBVPF7F8D7TUFcNW2DeyE67r84PBo4dJ3/3nj3370N5998KFH3/vi9m2+COsrxsYbhV17xhCKCKyuE4MTlPtqnu44gMN53Ne04okF56Y6ovi23WRKw0zzctYC3C4HXFfCdRTA4wpeUFZeJhMtMEi4roDDJPwQqPtVNMNcvbNWeG7RogVe//JTb75v3VVfW3PJdfl8sa0uRCDaanNm+qs75u01CXDantu0DZ7rsrvv/QV6OgtOra1yw4Hh8WWPPL7lnG3bdztM1JF3JepNHxIcnsPhujHA48Y54DoMnsvhOizS3Hm01AA3eXm0jGkIiUAVQpo6PbX0hNsbAHcigHtOBHDPBTxH6MpS8Xv0nGiOpKYvwbiHalmi1uaiVOkLket/KJDFjc3G+EdqpUa4bOVqhGEg27uOfTWpV1J7zQPcbvv2D6NUynfsGNz/5Ztv+Xlu9+D2cEFv+eSJhjhl09a98JvjqBQ5PM+FH0Tly1yXI+8x5HI8Grg6XIObs4TCqKYGjzSROAJ3NDWeFIT/k1gUinvOWMK3owcsAnjOk8jngHxOwHUEggBo+AyQAcrFEB21PELei8mG+1hHZfTxhQt6nXn9b2vmij3/XQSNg/li+0x/BS9r+40DuN0eeughOJyt2Tc0+Zade0YvD4PJ5Q4aGHhhK7btnsTQ8CQKbohKiaNazqFU8CJlJta/ndi6q3kmRaijTWmor5BAEAJ+IBGGEkLGmTGcwXG0ahLGdTR4/AsR8eyYorhAzg1RyAVoKwWoVSWaYRG79pewtH8pujtyqLXlnq+HbbeOTxZ/zph84MzV58z0LZ7R9qqVCY9VO+eccwDggT37hh4A8GAYBkvHRg6KO8cPCKcyd/Gp7R2f2z24Ax1tHsZGDqBRHwMDgwgBxt2El3tu5EGdDIAwjGmFw+C5EUBFbLUbQsIPBISQ4JzBBYfnRmD2fYFmM0QoJDyXI8eieur1IEAYSuQ8ht5Z7Zg3vxvVYgNz5/bi4MEDX9k5NPHCilWreXd3O3ddZwuAnxVLx6fW36ut/cZb8FZt4MW9KBTy7dsGBtc8+eR6VMuu39NV+RTneLPDgUYzwK8fewKhP4m2MkO1LCClxPPbGhgZbaKt4qK9ylHMa4fMxKTEi3sDTEwKgEWD1UKeo1Z10V5hCISDnXsjK14pOSgXHfR0VbFsxYmQ4HAdjpzH73L5xPXlQtObt/C3UG3reyAIGsOFcu9M37JXZPuNt+Ct2sJ5swBgGMAdALBnz24AeE5KMZsBot5oYsOzGzE54SOf5ygVQ0DU/aXLTrr60KHxS9pK0u9qd1DMR8w650r4gQ93i0TTj3R5CYZinqO9zcGcHscrl0v/fsNNv7q6VMp5juvBczmq1QpWrPgtMO6Cc85dx9kD4IVZs2fP9C16VbT/b8GPYbvtzgcBxmYf3L+nVikI2dXOUcxH9CSfExDCx1ObJILAQT4X7S/kOdqrHHNmuWxOX/eIlHJP38JzZ/qjvGba/wPBXxhNNsJHHwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzo0MjoyOSswMDowMMANI6YAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6NDI6MjkrMDA6MDCxUJsaAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 25751731
{'hecke_orbit_code': 4507928971184280, 'n': 1, 'trace_an': 8}
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id: 25751732
{'hecke_orbit_code': 4507928971184280, 'n': 2, 'trace_an': -2}
-
id: 25751733
{'hecke_orbit_code': 4507928971184280, 'n': 3, 'trace_an': 2}
-
id: 25751734
{'hecke_orbit_code': 4507928971184280, 'n': 4, 'trace_an': -2}
-
id: 25751735
{'hecke_orbit_code': 4507928971184280, 'n': 5, 'trace_an': 0}
-
id: 25751736
{'hecke_orbit_code': 4507928971184280, 'n': 6, 'trace_an': -3}
-
id: 25751737
{'hecke_orbit_code': 4507928971184280, 'n': 7, 'trace_an': 0}
-
id: 25751738
{'hecke_orbit_code': 4507928971184280, 'n': 8, 'trace_an': -2}
-
id: 25751739
{'hecke_orbit_code': 4507928971184280, 'n': 9, 'trace_an': 0}
-
id: 25751740
{'hecke_orbit_code': 4507928971184280, 'n': 10, 'trace_an': 0}
-
id: 25751741
{'hecke_orbit_code': 4507928971184280, 'n': 11, 'trace_an': 1}
-
id: 25751742
{'hecke_orbit_code': 4507928971184280, 'n': 12, 'trace_an': 2}
-
id: 25751743
{'hecke_orbit_code': 4507928971184280, 'n': 13, 'trace_an': 0}
-
id: 25751744
{'hecke_orbit_code': 4507928971184280, 'n': 14, 'trace_an': 0}
-
id: 25751745
{'hecke_orbit_code': 4507928971184280, 'n': 15, 'trace_an': 0}
-
id: 25751746
{'hecke_orbit_code': 4507928971184280, 'n': 16, 'trace_an': -2}
-
id: 25751747
{'hecke_orbit_code': 4507928971184280, 'n': 17, 'trace_an': 2}
-
id: 25751748
{'hecke_orbit_code': 4507928971184280, 'n': 18, 'trace_an': -5}
-
id: 25751749
{'hecke_orbit_code': 4507928971184280, 'n': 19, 'trace_an': -3}
-
id: 25751750
{'hecke_orbit_code': 4507928971184280, 'n': 20, 'trace_an': 0}
-
id: 25751751
{'hecke_orbit_code': 4507928971184280, 'n': 21, 'trace_an': 0}
-
id: 25751752
{'hecke_orbit_code': 4507928971184280, 'n': 22, 'trace_an': 1}
-
id: 25751753
{'hecke_orbit_code': 4507928971184280, 'n': 23, 'trace_an': 0}
-
id: 25751754
{'hecke_orbit_code': 4507928971184280, 'n': 24, 'trace_an': -3}
-
id: 25751755
{'hecke_orbit_code': 4507928971184280, 'n': 25, 'trace_an': 0}
-
id: 25751756
{'hecke_orbit_code': 4507928971184280, 'n': 26, 'trace_an': 0}
-
id: 25751757
{'hecke_orbit_code': 4507928971184280, 'n': 27, 'trace_an': -7}
-
id: 25751758
{'hecke_orbit_code': 4507928971184280, 'n': 28, 'trace_an': 0}
-
id: 25751759
{'hecke_orbit_code': 4507928971184280, 'n': 29, 'trace_an': 0}
-
id: 25751760
{'hecke_orbit_code': 4507928971184280, 'n': 30, 'trace_an': 0}
-
id: 25751761
{'hecke_orbit_code': 4507928971184280, 'n': 31, 'trace_an': 0}
-
id: 25751762
{'hecke_orbit_code': 4507928971184280, 'n': 32, 'trace_an': 8}
-
id: 25751763
{'hecke_orbit_code': 4507928971184280, 'n': 33, 'trace_an': 9}
-
id: 25751764
{'hecke_orbit_code': 4507928971184280, 'n': 34, 'trace_an': 2}
-
id: 25751765
{'hecke_orbit_code': 4507928971184280, 'n': 35, 'trace_an': 0}
-
id: 25751766
{'hecke_orbit_code': 4507928971184280, 'n': 36, 'trace_an': -5}
-
id: 25751767
{'hecke_orbit_code': 4507928971184280, 'n': 37, 'trace_an': 0}
-
id: 25751768
{'hecke_orbit_code': 4507928971184280, 'n': 38, 'trace_an': 2}
-
id: 25751769
{'hecke_orbit_code': 4507928971184280, 'n': 39, 'trace_an': 0}
-
id: 25751770
{'hecke_orbit_code': 4507928971184280, 'n': 40, 'trace_an': 0}
-
id: 25751771
{'hecke_orbit_code': 4507928971184280, 'n': 41, 'trace_an': 2}
-
id: 25751772
{'hecke_orbit_code': 4507928971184280, 'n': 42, 'trace_an': 0}
-
id: 25751773
{'hecke_orbit_code': 4507928971184280, 'n': 43, 'trace_an': -4}
-
id: 25751774
{'hecke_orbit_code': 4507928971184280, 'n': 44, 'trace_an': -4}
-
id: 25751775
{'hecke_orbit_code': 4507928971184280, 'n': 45, 'trace_an': 0}
-
id: 25751776
{'hecke_orbit_code': 4507928971184280, 'n': 46, 'trace_an': 0}
-
id: 25751777
{'hecke_orbit_code': 4507928971184280, 'n': 47, 'trace_an': 0}
-
id: 25751778
{'hecke_orbit_code': 4507928971184280, 'n': 48, 'trace_an': 2}
-
id: 25751779
{'hecke_orbit_code': 4507928971184280, 'n': 49, 'trace_an': -2}
-
id: 25751780
{'hecke_orbit_code': 4507928971184280, 'n': 50, 'trace_an': 0}
-
id: 25751781
{'hecke_orbit_code': 4507928971184280, 'n': 51, 'trace_an': -7}
-
id: 25751782
{'hecke_orbit_code': 4507928971184280, 'n': 52, 'trace_an': 0}
-
id: 25751783
{'hecke_orbit_code': 4507928971184280, 'n': 53, 'trace_an': 0}
-
id: 25751784
{'hecke_orbit_code': 4507928971184280, 'n': 54, 'trace_an': -2}
-
id: 25751785
{'hecke_orbit_code': 4507928971184280, 'n': 55, 'trace_an': 0}
-
id: 25751786
{'hecke_orbit_code': 4507928971184280, 'n': 56, 'trace_an': 0}
-
id: 25751787
{'hecke_orbit_code': 4507928971184280, 'n': 57, 'trace_an': -7}
-
id: 25751788
{'hecke_orbit_code': 4507928971184280, 'n': 58, 'trace_an': 0}
-
id: 25751789
{'hecke_orbit_code': 4507928971184280, 'n': 59, 'trace_an': 6}
-
id: 25751790
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