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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': 4, 'hecke_orbit_code': 13515128225925272, '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, 1, 88, 12, -1, 10, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '2200.1.cl.d', '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, 'minimal_twist': '2200.1.cl.b', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 12, 'projective_field': [-1024, -1536, -2688, 1344, 1280, 384, 728, 340, -856, -204, 14, 189, -60, 10, -2, 1], 'projective_image': 'D15', 'projective_image_type': 'Dn', 'qexp_display': 'q+\\zeta_{30}^{3}q^{2}+(\\zeta_{30}^{7}+\\zeta_{30}^{11})q^{3}+\\zeta_{30}^{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '2200.1.cl', 'trace_display': [2, -2, 0, 0], 'trace_hash': 1301999981712819047, 'trace_moments': 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mf_hecke_cc • Show schema
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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: 43834776
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 43834777
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '5.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 43834778
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '5.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 43834779
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 43834780
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 43834781
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '11.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 43834782
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '40.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 43834783
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '40.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 43834784
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '40.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 43834785
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '55.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 43834786
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '55.37', 'twisting_conrey_index': 37, 'weight': 1}
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id: 43834787
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '55.48', 'twisting_conrey_index': 48, 'weight': 1}
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id: 43834788
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '88.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 43834789
{'conductor': 440, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '440.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 43834790
{'conductor': 440, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '440.147', 'twisting_conrey_index': 147, 'weight': 1}
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id: 43834791
{'conductor': 440, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1851, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13515128225925272, 'source_is_minimal': True, 'source_label': '2200.1.cl.d.1851.1', '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': '440.323', 'twisting_conrey_index': 323, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 2491900
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 13515128225925272, 'p': 2}
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id: 2491901
{'charpoly_factorization': [[[1, -3, 23, -1, 0, -1, 3, 2, 1], 1]], 'hecke_orbit_code': 13515128225925272, 'p': 3}
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id: 2491902
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 5}
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id: 2491903
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 7}
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id: 2491904
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 13515128225925272, 'p': 11}
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id: 2491905
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 13}
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id: 2491906
{'charpoly_factorization': [[[1, -3, 23, -1, 0, -1, 3, 2, 1], 1]], 'hecke_orbit_code': 13515128225925272, 'p': 17}
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id: 2491907
{'charpoly_factorization': [[[1, -7, 18, 11, 15, 11, 8, 3, 1], 1]], 'hecke_orbit_code': 13515128225925272, 'p': 19}
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id: 2491908
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 23}
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id: 2491909
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 29}
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id: 2491910
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 31}
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id: 2491911
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 37}
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id: 2491912
{'charpoly_factorization': [[[1, 3, 23, 1, 0, 1, 3, -2, 1], 1]], 'hecke_orbit_code': 13515128225925272, 'p': 41}
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id: 2491913
{'charpoly_factorization': [[[-1, -1, 1], 4]], 'hecke_orbit_code': 13515128225925272, 'p': 43}
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id: 2491914
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 47}
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id: 2491915
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 53}
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id: 2491916
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 2]], 'hecke_orbit_code': 13515128225925272, 'p': 59}
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id: 2491917
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 61}
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id: 2491918
{'charpoly_factorization': [[[1, -4, -4, 1, 1], 2]], 'hecke_orbit_code': 13515128225925272, 'p': 67}
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id: 2491919
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 71}
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id: 2491920
{'charpoly_factorization': [[[1, -3, 23, -1, 0, -1, 3, 2, 1], 1]], 'hecke_orbit_code': 13515128225925272, 'p': 73}
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id: 2491921
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 13515128225925272, 'p': 79}
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id: 2491922
{'charpoly_factorization': [[[1, 7, 18, -11, 15, -11, 8, -3, 1], 1]], 'hecke_orbit_code': 13515128225925272, 'p': 83}
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id: 2491923
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 2]], 'hecke_orbit_code': 13515128225925272, 'p': 89}
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id: 2491924
{'charpoly_factorization': [[[1, 2, 4, 3, 1], 2]], 'hecke_orbit_code': 13515128225925272, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 64, 'hecke_orbit': 4, 'label': '2200.1.cl.d', 'level': 2200, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHESkc5qXwfwAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGVZXeaPv9daO5x0861cXVVd3dW56YbuppscJCkiSDChjgnzjDPzM4/OqF8dhO84KiomEEFBQURikxoauulA59yVc64bzz1xh7V+f6y107m3uhkHv6Az5/XaddKte8/Z+9nPfj7PJyzB/7193W4f/sTtSCk2PLr36IRJjdk84xP4kvsPdXjhM6bFTVe05m97IGXzzMLMdZefMA/v3UItkGyY6dFqpkLLXctgzsxsfgHAJmAJ6AshvtFf7V/tzftGf4B/Lbf9h08DXKh1usEgdK8f8Y8f+Sd2bT7Jjk0L1FTAweMfiRfNs36j3138dk+Y+MTpgA3Tgrg3oLOcBCdOzL372AmBSAc/emy8G506M8emGTg6iBhvpf4gOfzJd7x39288cfyj4g9+88fedubEoX+oJQ/f313eowwhCCGV9M8Ah+qtzd/oXfKv4vZ/qeE8tyf3n8OI2qRvDr2wt/gISsj4xOLEf+oM5MulMERxwgMPPESrvsTFm9ssdRTHztZBD0nihKkxw55jAVdemHLqnGRqPGGsGXLglEeqY2ZbgpPzMVft1Ow7Jpke1wRBQK3mceicZKkLl6xP2LVtiksvfwYGH09BL/I+v/vQ4PdTk/ovef5VXLxjy22Y4ZKQ67/Ru+yb8vZ/Ae5uS0tzGHhlqzm86NDhjv7NP/yQfvOrxi/sDtf/cnflAM1awOFjp1lZmSeKPRZ7ktQE1HzDWGg4u5Kw79SAzdM1JuoKJWJmxwN2XaDoDUDIISfOeQwiODkvUAT0hzEXXWDYMNVFImk2Ijau67DnyDQLS3WatZTQi+kNNO2uIkoSJqdmabY2o7whV+66kIf3zP3uTZecObRl1w/KWEzIzevUAQyfHRuf/Ubv0m+K2//xAH/ysduRQrxwYTl+xaP75994xYXnLh12A979kb3cdNUSc+d8js712DKjaIQwO6E5sRiipEEKzabJlKNnazQbhvsPDOkNBbUA5pfhwlmPRj1kw2zCC69a4YlD49y/W/Dk0YTnXJmyeUbTbAou2LDE3JKiFkJ/aHhwzwytuuTg2YCNUwOkgEClnF5QjDcTJCmb18fMzbfoG81LrmlyZPEKas2UF1w7vufU/PoPR4n8nBDc9qpXvOgbvYu/obf/4wDe6bSp18Kp02fm/vuf/c3ngv3Hnkx/4jvCZy0ujl/3d58+y4Z1R3jptU2+cO8Efb3My5/l8ZWHa+zc2qfb9zm1qBjGgtBLuHxryvqpIQsdycMHx4kTwa7NA852FFfv7LPvsM/KwCMawg2Xd9l7vMFYPWL3CY8bL5FE8ZCVgcfDRyTXbk9pd3wu2hIRxZJHDwnmOzU2TsKlF3QIPEkUw+lFn84w4eJNPl9+2PDS67oM+xN8+qs9XnTdMtdcdAH37t3EfL93//e8dO6BjbPXqKmt3xo1WtO/mibR4tTk+Df6EPx/evs3H2QePHSEwPfEhz72Fb7lpr5Sg0+/89Dh4JJ7Hjz9/BNHT6jTZ1fYf+QYG1rjbJ5u8tCBGV547SLPunScz97b4r4DPbZvNJw657FpnaF30hAbwzD2OT4nWT89RAjDri1DnjzkEQZ9dm4MODPnMzkmuPHymEf2ax49OEYv7rBtQ8Qz/HFOzsPD++pcsi3hghk4eFZQD2MQin0nPAwx0kRsnTW06qBEhK982n3Yuk5x5JTguks7TDaafP4xwdh4zHOubPHAE4avPHCQrVs71+lIXffE7sOcvPufUr+59fJ2Euz9i/f//U+/+CrS6S0vwujErFt/wTf6EP2L3v5NAry9dAoplRwOVmr/8P7fGr7sO37159M0/YH/8s6j8a9//57L6mKi1lmqMRbAsCt5cJ/gB17W5aqLWpxaqHHL/SGvf/4y1+yc5osPBVy0tceGiRZHTiXccGnEnuMBE80YkDx+pMGmKc3CksedT6TcuR+u3ma4fKtksSP4ypOSl1wZM9FULHVaHD/tsbxiUH7ED75qiaNnxljuCJ55yYCrL5rDZ5Iz87Mcn4PLt2v6keTwmZDJhsfuE5JLtkKnI7lk2zw7NtX44n0BRxb6vOGFmrPzk+w+DO1hyrUXR4h0gr2H+jx+cI/ae/bQi8anejf+wU/XbkjT6/3hcPg3r3njL/+Pxx7fH05NjQ+SJNHbt/3bc2b+TUmUJNUIKSTJ4kRn8cBNvaH6y737DiV337t/+qEnTo89eixhenaeX/veISSbeXh/nYf3xuw70+cVz2nzvMuaPLJ3gtsejZiY7vKdz5U8tqfFVx7vc9nOhC1TdTB9hCfwpceB0x7rxlLaQ0OrNuTouZQnjqe01CQvv77L0nKLe540XLlDcPEFKWkiODbnk6aai7cIrrgw5p4nBIvdHi+7TlJvnmLvkRZHTk/SCAWdns/MeMLB0wGBN0RJhdEeWzcscsU2xe0PTXL/oZjXvrDN+uYEtz9Y46HDPW68Zolvuz7gwNFZHt6reeRgTE92+bXvP8vmiXXsOzbLYm/9SnNyx8K2HRd5w1S+5RlX7bx74/TYMhgthPxGH8qv2+3fDIOfOr3AqVML229/8MiWi7YkH97e/MT40SOd5tHDgnjgM9aAzROGR49McseTZ/jOm5bY2vZodzxW+iEf/mKT6dYKV+/yGERN7njc8NE7e7zh+W1qtRYP7vfZNN1leizg+FmPlX5Kr9enud4n1h5TTcWmSckLruzz0P4ETwrCICFsJNx/SNFs+WyZiRgmsHkarr1kjnbPY5hMEmuPx45IHtm3jVDVCIMUb2JIfwjjY312ACvdgOPnUqYnesyOt/jcPQGPHYt43Yu6bJkY485Hajx6eMDlO5f43hen7DsyycETghPnEk63U179ohWuuKDB7kMtzi0Kjpw6M3bk1JGxhf69tDZu/od3XNhv6zB+YyIvOzHszx8J6zPf6EP6dbn9qwe4MQbgks98/subEu3/+a137bn4N++5Tf31L55gtrmOmfFZOn2f7sCjP9SsDOB9n5ti0/QCN+3y6A1mGMY+/ajBPU9GRPESV++CMGhw7x7FR25vc+X2ZZ5/dZP9x8eYWx5QDxJmJzW7NitOLygW25KVTkqrPiQMfLbMRhw+4+PJPq97rscDe30u27bMxMQKNz/YYKUfMjPe5MF9AZdf2GF63OfIOcHmWZ9aLWayluJ7EikF9++eYrzZox4MuWirIpB17njU0Ggs84YXQcuf4Nb7Avac6HP1pYtcuxOOn9rA7kM+R07FPHHCcN1VS/zQy2JOnN3ImYUac0uw2E5o9+DJk30me/c0u8c/25yPXnlb4sv97RV+whhzCtj7rz2L+q8W4MvLi3ied/GePY8/o93u/tyhQ4deeOsdT/DIwQ5zUYM//3iLX/juDhtnG3QHiv4gYDj06Q8N3VN1br6nyXOuWODaSxQwiTE+Dx+Y5K/3dnnDS1a46bKYmYkm9++e5PP3DNg4M+DSbYJ14x4HT/n0BjHdHrS7As8zbJ5JQUmkjOj3JKeXaqDrrBuPuGhzjzsfDRmS8J3Pi0mjBgdOSGYnPTZPC7ROmFvyWBkM6ccBnW7A1pkh02MDlJJ4niCOPQ6egNnJHjdenbBp0mPf0XHu2AOnFjtcd3WH73lRyvFTG3hob8jeowkPHUqJRYdX3zBg0J/hxNkGZxYkc0sxC+2EE4sSvz7g516/TNMPOXrgATW3cvpS1bzqS51BcJsf1P5weXn5kSRJ9s/M/OtkdPWN/gD/nNvi/HHC0N9+8vje/3n44O7/dsedd2/fs+cgg2GEryTDoeLxowGb17d5zhUxcRISpx7aKIwReGiOnQk4Mq/ZvnGFDZPQCGvUfA+Fx8MHFWeWB4yNRVyxQ3PJlpBOt8aJOUHgxcRGcWrJ59ScZiUSeJ7H+omEs0uaI6cDJlsSgce6qZjFjuGq7QOkbHB6ocGuzSH7joYcnzdcvn3I2UVJnPj0I8UlW2OEMHR6kvUTCbNTQ9ZNRfgS2j1FGMKuLYKlpRZffKDO/lMDpqbavPhZfW68JOTgsXU8vDfgiUMJh+YiWhNtfuSVXa7YNs7R0xMcO+Nzai7l7ELMsXnB/nnDa59/hh99ZUq3N82ZxQlOz8G+A6fYvefI9k4v/u7BMN02Ozt790/+1M8sv+MPf/8bfej/l2//qq4/cW8PyqvP9jvHfu700QeuOnlm8Lrde46z2AlZbMPCcszccsLZZcPhRcHMzDK/8t0LPHtXk8Onpjl2psGJc4pT51KOnYk5NKfxGl3e8Pwur74h4NiZaXYfDjlwQrP7WEwqB2xdF/GcqzTb1kmOnWly/KxkcUUzSDRSwmQLZscTFlc8VrqKybEIT3hMjqXUwph7dodcuEEzO5lwer6OrzQnFzTrJg0Xboz46u6QIFBMt0CpmJkmLHUFC13BujHN1FiMlDCMFIsrHkfPehybS9i2YcBNVyVsmfUgbbDncIODJwxPHk05ujDklc9d4vXPH1JXkxw5PcmRUx6nzqWcmo85NmfYN2e4/oo5fum72mwYn+TkuUnOLNQ4t+gzvwznFoecmx+wcctORG3yoy98wfWP7dq55Q+7vf7cc56x4xsNha/59q+Gwc3ynyDF0THdf/hPu/N3/2R78cjlK+0FDCEGRaolxgiM0YBBajhytsb9BwQXb2lz+TYN+IBCSg9PSUJlODfvs+eEYqD7XLpthZ2bNbOTHhsmAwIRstAOOX5GcPi04NEjcOR0xNzSkHYnZRD71IKA2ZZh87oYIVL6Q4/tG2J8ZYi1IE4DFlYk/aFP4AmE0cxOaGbGUxZXQlb6gkHis9QTbBjXLLQ1x84qan7AhinYMhuxfnrAuukhG6aHbFlvuGCD4rKtPnXV5PCxMb76eMCD+xIePRqTqg7f9rw2r3uOoa6m2Xd0gsOnPE6eSznjwH1g3nDdFXP8+puX2Dozzsm5Sc4u1lho+yy2JUudlJVuSmcAew8tsPvYymWP7z/7/KMnT28/eurs52586eujOz//j99oSHxNt29qBl9YbNOLDL7irbc/ePA5v/6OD8vveu7B5/zn1x/3FpY3sLA8zvxyg4V2wPyyx0JbsNhOWWzHLCynnFmGgwuC2ZllfvMHFrh+V4PjZ6c4da7JqXmPswuGM/MJJ+ZSznUSJqYGPPeqLs++FAJZJ1QhZxdrnJ73OLMo6A0hSTS1QNOspUyOJ2jg6JmElS5sW+/TrA8xRoAI6PY1F2wYsrDsgbFSZLkLwwQMhsV2xOZ1Pp2+QiiD0EPGaj4XbByw3BMcPeWRao/pMUmrJgh9SBJBbyg5syg5vWA4u5QQhgPwE268vMtzrhDMjtVZWBrj+NmQU/Nwdj7h7GLCyUU4uGB41uXz/NYPLLFhYoxjZ6Y4u1jn3GLAfFuyuJyyuBKz1E5Z7GjOdSTH2tBZavOH/79h8uZX1O4KZt6ivcYVd0mhfyXVPkH4zZsd/aZl8He/7x953k3P5Bd+/ud/573/8OX//M7333rRvmPL2w+e6srnXNnjwo2aOHG6Wku0kWAkIAGBwKCkIZRwaqHOvQckV+1c5NKtAxo18D1J4CuCwKNZlzR8Sa/rs/dIjS88GHD03JCVJGbv8SHrpxd59XOXuOqiDs+6tM2R+YT5nqARDjh0ytBeaXLlhZLlQcruI4pWw+OJo3DxJsMgShmkAZ4XM9mCPcdDlJfiywTPh/5Qcv2lPfo9yVUXpaz0U46earFjg6LZiFgeGtZN9FjqrvChL8HDh1MePTxg26YFrr5khcmpiFfd2OH1LzDs3NAijSc4fHKcgyd8jp/RnDgXc+JcysFzgmPLMc/YNcdv/kCH9RMTHD8zxdnFBvPLAQttyVI7ZbkT0+6mLHcNSz3B2Z5iuRNxw2Xz/PRrz8lmoLcvzR/eMRjEN/iNnfVafeqLj9z7Mf70L//+Gw2ZNW/flAz+wQ99hBuu2qo+c8e+/3rwyJn/ct8jR9XpxZilSHGun3L19rP8wU/Mcc3OBmcWJ1lYbrLYrrG44rPY9ljqwFI7ZWklYbGTMN+G40sCrz7gpisW+a4XROxY12S5O8a5xTpziwHzbcFi20qEpY5mpa9ZGRp6g4TpsZgL1mtAEPqGE+d8hAzZtk6xY5Nh07oeZ5eGPLK/xTMvNjTqSzx+YIpWMyKKfKYnNf0BXHbBgA98aYJLtiYMh4aZcUmc9mnVQp44MqDuN7lmV8KjhyLOLgRsng7ZsREu2BChVMyJeQh8gxCGbesTJluSTj+k2/NZ6fksrigWl2GhrVlsp8y3U860YWGQcsHmLt/1wnluutSj5o9xen6M+aUa88seiyuCpbZmuROz1ElZ7hgWunC6Kzm7nHLDJWd4+0/Os2tLg6WVFivdkM5gAhlcnHq1jb8zN7z4t8a9E+kLXvwd32jorLp9UwF837591Gq1+qlTJy94+JHH33Tw8KnffnLfcfqRpDMQLPcFc33JmW7Msy48y+/9xAJXX9jg3NIEC8tNllYsyJdWPJZWoN3RLHcSljoJiyuGs23Bqa4B0eV1z2vzqus1F26sEUUNlto1lrsB7Y5iqSvo9ASDoSFKDGmKvRr4UA8NE2OGdVMxnj/g4OmIxw6E6KTJK26I8PxlHtg9zvaN8Jl7E553Zci5dp+ap0jSmKlJSGIfz09YWGjw3GtX+MzdLXZshPv3D/Fp8PLrNYno89jBlMMnangyYP2kx2RTUA8FQSBQAhINUWwYRNDpGZa7mk5Ps9zTLHQN/TRl25Yer3p2m9c9JwLdYmF5nHOLdau3VzyW2rDcSWl3E5Y7KctdzWJXcLqjmFtJeNaus7z9J+a4YnuN+aUJ2t06K72QlW7A0opA1bYQNjb82qatl/7D1i1bjg0Gg/7FF+/6RkMpv33TAPzwoQPMzM4GBw8c+KH9B/a/88EHHxHzix3ZG2g6fU1nYOj0LcjP9SVnOxHXXzzH235sgWsvqjG/nIE8ZLkTsNTxWO4I2h1jL7mdhHZXs9Q1nOsITrc1kxM9vuVZHW68NGHbesVY3WelUyP0JaCIEonWAm2gNwCEZrI1YP9JgzYRt9zfZNirc9HmgJuu6hHrZW5/cIJrLvbZf6ZLe2mMZ1/V44sPhKyfMuw+aviZ166w+0jI+inJFx5U3HSZYrG3wqHjU1yzK+L2x/okwwY3Xh6wc+uAftLl8w8oSAUHT3iMNTw8Ab2+RBtBqg1xAkiNF2jaXUOzFbN145DnXNbjW56ZMN2scXZxnIXlOksrdt8srQjaXWh3EtrdhHY3pd0zLHYlZ7qC+U7CDZec43d+bJ6rLwyZXx5nudOg0wtZ6QV0uh4rPUW7K4h1TV908VVmx4U7f3rnzov+en5+Ltq165sD5N8UAE/iWEZR/9X33/PZi9orydvvu+8BfxjBIDb0+im9QUp3oOkOTIXJT7cTbrzsHG/9sTmeuTNgeWWcuaUW7W6N5U7Actej3VG0e9DpGlZ6CSvdlG5f0+4Z5rqCuS7E6ZCrL+6zYSql2zO88tlDtm/QJKnEk4YohtseqXHsXI2NkwmPH6yBbnDpFsW1l2jCWo8H9veYm29yxfYmYxNL3P2oz3UX11joLbO0NMaGDYZ7dyu+78Vd7tvtsWWdz3y3zdLiFNde1uPux1Om6hNccVGXc+029z45Qd1r8qxLDLsuGIDs8shhwbqpmLNzMbc/4jOIFVJCqg3bN0Z8y7MjOl3FpknNtRdDFDVYbDdYbIcsd30HSMlKF1Z6zinppaz0NMs9w2JfcrItaA+G3LRrjt/60SWuuzjk7KJj7m5Ip+/T6Xt0eopOX9LtCzq9lP4g4Zprr4tTrX7xDa9/9YFmo/4p3/f1Nxpb3/BMZjTsksS9Hzh19IHfnz+zb+r0mSXGmjZ7JwYGcJsAITRSGKSwAaSSHvftW8+vvNvjdTct8t0vXmTH5ogzC2OEQZ16GNAIfZp1j05d0ur7jDc9e8L0U9YPNf2hoTMIWZyrceK4IUo0J88khKEBBIEyeFLQ6ysEPknP4xnbBTs3GS7Y3GOYdvjsfYo9ByZ52TNDrr1sifd91hCIBts393j0bsXmCcXMWI+aqhPFPuc60Kx5bFkveHhPxLW76rzgmnnee3OfwG/x0hsMftjj1nsjPnNPkycP17lwU4PtG1NmJyN2zMRcuT1FKY2n7P5phCGzEyFR7NPpBTy+35Yn9PqK7kDS7UN3YOj27Hfv9FO6fcNK37Dch7me4uySoTHW5mdfOcd33DTk6gubnJ5v0e7WLXP3fbp95TZJbyDoDywBRDHcfse9fqM19fvTs+sXX/z8G/5Tp9N7b6vV+D8X4HHcBcSPnjt211uP7Lt1Kh70aNQCQCEQ2AuMBwiESBGAdCBXwuDJlEBKHt0/y0P7muw7dY7XPqfLcy4fMNEaY7HdoLlSY6wf0O15dNzB7g88ekOPwdAwiDRRbIhjQ5LaLUoCjAapBL4nqAWCiZZgsgUbZjRb1veYmWzzuQfgKw/5SD3Oy57p84xLO9z5ZEw0GOOmZwja/T7nFprcuEszM9Gj7oUMEsXcSozSgmfs8mi0hjy4t8bzrx3n2Vd3eHCvAjPOMy8P+JFvW+SLD0d84b4mu4/VuGBWsWGqzmSrwXgL6iH4nkFJ0AZ2HxakqSBOBFECwxj7HYcp/aFmMNT0BpreUNPtw8oQ5rqScx0Y6gEvuWaRVz+nzfe+VJMkY5yZb9Lp1ej0AlvPk58sBbh7Q81gmNAfarqDlJNzpznxwc9NrfT0//v6b3++t9LpvXvsGwjybxjAk2geIdIfaZ/54luXTn5hnceAsUYNKTUIgRCAcJafUAghkAKUFCipUcrgKYOvNHVfMN+r88EvbeHWh1Z43pXLvPkly1y5o8v0RIOF5Qadfkiv7ztgK7tFgmEsiRNBkthLva3dskGl50EtgEZdM9WK2byuR0KX/SdjPnR7jUPHm0yEda673OPGq1a4d1+bW746xg0X17hgY48PfEmgRMhYK2a5O0QbUAJmx3qsdAJ0UufVzzvHBz/TYOfZGq+6oUcUL3D7Y9PEaY3rL1/Hq65b4eKtbW59sMejxxs8cjhgy5RkakzQCAWBb09CKUAIgzagtSFO3MkaG4axPZEHEfQj6AwES0PBYgeEN+CaS5Z587cs87zLU6bHaiyvNFnuWNbuDnx6fc+Ce5gBW9DLTpxBymCo7QkUQaIVJ860+cu/++K6pQFv/Z7veK45fmb5r7ZumPg/A+Bm4bdZ6l3IYP6fflAnnbf3Fh6dUfSo1xpoYxMnUAQHQgikFEgpUdJDqhSlhLs8a3zPEHqGuidYGigW2pN8+LYm9zze5aarl3nzS5e5Zmeb6bROkoT0BjW6fZ/+0COKFXEiSVJJqgXaWP9cCkMYaBq1hDCICPwhJxeG3Hy/5MCJgMMnJlE6ZOfGgMt2KJ556QoqnOOxgy02TzS44kLYMLvE4soYV26WJNrwuftChj3JRDPh5dcP+NTtMcfOtLjkIp/TywOeOOSzdf0kV++Y485HO9z9hGAYBVy6Y4pLt4ZcuqXDwdOLHDgJ9+1psP9Qk4YnCD1JMzTUfJDS7jdj7MmapBAlEKWC7lCwMhCsxBDpBG0GPOviFd78LSs878qUjVMhg8E4C+0anW5IdxBYYA8UvYGiPxT0B5L+0PaN9ocpw+zKEFmpN4isoxNpxclTbf7wA7ete+DA2bfPTDSSX3/np9+3Z/9xPvQ/3/JvF+A//9Y/gan3o9uv/l6pD70j6hybECYgDBtoE2O0EyZWciOEccCWjrkVSgk8pfFUiu8JAk8T+IbQNzSClImaoDP0WVqZ5CNfGeNLjwxYP9njTS9sc+nWAYN+lyt2GLZuUAxjnzQt0vwCg5Qa30s5etZw+Ixgua/5xJ0NTs5PYiKfyZpi07THtg0eF26GK3auoOU8f/mpJouL49xwqccVO9vc+ohAJD7rJiXNRkIvDpAuGaW8gPZAcHZRcLlp8MJndrjrwTqbZgJuuGKKH/62ef76Mx3u29ukO/BZWG6xY1OdSzb2uH5Xh+98fodTi4t84s6QhV7I0dM+J08G+MoSgUCgjSHVEGtDmmgmp2OuurzHcBhz6dYhb3jhkHXjiqlWSBzXOD1Xo9cP6A3tVa6fA1tacA8FgyH2SjBM7RZpB2pDf2joRdCPBL1IMERx6swyJ/7pjpkrL1r3jhufuTH+0P/c9ncLR9/G9LZf+rcH8B//f95P69rvE9//8+KNW8Yff9d3veDxxlU7fUCgdYTRwqa4ASNACBBCOVkCSko8JfCUu/cEvpcSeILA19R8Qz02NCLDeC1lsi7oRZJO1OTwiSZv+7sp0AkiSXjmVT12bIhIEtBGu/oVgRQCqQSeH7D3WMDuAzWaNY9WIJlpCGanJeumPDbNKrZtTLlk2zKpWOCPPjrG0WMT3LDL59LtKf2kw1cfC5mo+0yPGyZaEY26lUJaS9oDxWLXsNBOaXfrPPeKZe7f3WPPMcXEWI3rL5/gx169wJ98DB480KTbNyx3PM4ujrFhpsG6yQHbpgf8/Bt7jDXaPHoY9h6X+L5BKYMQth4HY9k8SWD7hpSbrkxIY584CTGmwSDyOTMf0B/aK9ogUrl860eCwVAyiAT9IQwjK0mGkWYYWdYexMZqfOfF9yNBNxKsxIKVBJI0Jen3iLsPTXzH9evf9cfzc4lo/vCHu6dqprnp5/7tAPzHf/uDbNg4o/bd9r7X7Tsy/77333uu9vDuSd72M20u29ovftDpSOGCSCmtW+IphacMnicdsAWBrxj6kmGkCaOUYWyox5phrIkiw1gCw1gzTCBKBINYMkxD4rTGngNNHtkDqTFYaFtt7EsIlK35aIVwxUYYq8N4UzLZUkxPeKybggs2DNk4u0xsFvmjj45z8NA4116ouHCLZOeWJb78RMLZhXGeuUMyOaapBX1CGWKUIEklwhiSNGKpW+Psgs+1l9Z5xq4Odz5YY/2koFFrce0uzc++boF3fEzzxMkWy13Nckcxt+QxM9FkcqzO5Ng4Y42Y2WbMtmsjQj/B9xKUSpHCBhMGe1LFseLcnEecKOJEEcWKYezuI8kwlgwjySCSDCNhA9RIMIyMBXWsGQ7tfh5Gxt1rBrEFdj+GXiRox5KlGPrDBIZdnrFjmd/9qUVedtWpRq+j3mf6H9Aq2P7Rzsk/Tlubf/ZfP8B/8rc/SKsRqiOHTr1h78Ez77338RM1muN89h4P3xf81luWuWJrz80ZKTalMnAbPM+B3DOuhkTYg+ALhoEiii3Q49gQJal1RZLSlkKSGtJUk2qs3tbk4BbuKuFJ8H0IPUEtFDRCSbOhGG9IJscF66YStm3o0Wou89G7Im5/bIrl+TGuukCxbaPPxVsHpGKZz93XoOl7zE4qWo0Bjx2EJw95XLnV0Bsqrr445qqdhjOnU+aWAvqDBq+4rsMdj/bZf1LRrEvCYIwrL9T81g8ucNsTfT512wwLK4Zt61KW2h4TY4rxpk+r4dOsG2qhJgw0oZfiKSu1pGutNAabsNKCREuSVJAkgjiRRIkgjiXD2DovUSyIYkMUwTBOiWJNVCKOYRa0xuQnQT+GXmzB3Y5hMIyQSZdnbF/mN398kVfdkNAdjDEcHqipWvC3BvXvpDf9jysn/yQd2/wz/7oBPu0b2eusfPeBgyf/7JEnj9W8Wo1Upxgh+eRdimioeMOLV3jTi7uMj6WoXoqUKUo5n9dL8T0P3/MII8XAt2wT+ZJhIIhiYQ9OrIgTiGJpHYSksP2SVJOm1l1IjXNKnFtig1jrznieIPAEYSCphZJmXTDWMEy0NOunhsxOdkjMMh++Q/LXn5lmXa3GVRcILtjos32TZtvGJT76VcPiYo1LNygmx6DViDl7RHJuKSTYAcNYMDsumZiA/YcNSyuaM/M1Lt5e48XP7HDzV2pMtyAMApSc4Mqdgre86hy+PMcn75zkyZM11q/ErJtIGG8qWnVFoy6phx5hAKGPIwSDFCBFCeTYEzvVkKaCJMUBHeLUECUQx6klhVgTufthrIljGMa2dGEYwyCGQSIYxIJOLGjHgk5sSAZDxmsrvOkVC7zpxT2+5VrNSq9BFIckqcewfbDmxd67jNfwoPb3wL9oMuhfFODvfPfHSFL9g7fefej3jhw6PjbTVETa0E8UA1EnlR6fu8/jq0/UOL24yM98Z5/JsYRaaDOOnpcSeD6+5+N7KZHvEcTKAdym0i3jCMtEjpWSBOIU0tQ6CVrbgEtrk/VwOnBbgNvAVeB7FiC1EBo1TaueMNFKmJ3oMzO5zF17Iv72ljp7D0+wfdxn5wbYsiFgy3q45IIVeskK9+4eo658ZicVEy2YaA2ZHE8IAg8h7MnVHwYsrsQs9wztbsK5pYALNrR49qXnuOW+HntPjtEIY3wVIMQ4Ozcrvv+l8zzrknP87S0t7n18goWux7qxhIlGQqMmqdcUoS8IfYnv21hFKZx96GIbbA+r1uRAT1Ltrm7OWkw0SWrBncQQJabYYuvKZMDuxYJOIugk0O8nmKTPdGOFn3r9Ij//PT2aNZ+VTpMoDokTnyRVJIki6Z4cE0Hzj2rj1wRHdv/TX2+/7Dv/9QF8YamNUupH3/muj7z15PHj07MNiFJDlBrqUtBLBb3UZ6gUywOf3/uQz+6Dy7z6+V1eeE2H9TMRnU6d/jDA9wPCwGcYeYSxtfeiwAI8jiVRYi+7ceI87RRn/eGYW6INBbhtktIxN3jKJkwC31ALNPVaQquWMDk2ZOPMCmfbPd75CZ/P3T/F4lKTi2YFF6wTbF4XsGWdYMemAV6wzAdv9zh0vMmu9ZLJlmS8mSLlkJNzhtCTSAHGCKLYY9u6Fe4jZaWnWFoxnF2ss2tLje98YZt/vDXgyNkQ34sRwkebJnEieeaOJbZ9zwqfe7DHBz43xQNHmmyeFMw0U5q1lFogCH1B4Et8T+ApbOAsRW67GuxJpg3WaUkt4DOQJ6mVdBbs9pjFLo4ZJjBMBIMEOomkE0M/1qS9IVtmVnjBtcu85vldXnmdxhd1lpZrRHFAnPjEidX/SeKIqX1metrvvX3nla9Xg0H73bXav0xN+b8IwBcXlwl874c/9dnb3/rQw0+sq/k23e2nBj+FIIUwhTAR9ISkV6/Tjn0++OUatz3a5dpLV/iel/b41hvazIwH9AY1+lFA6PvEic8w9vJAKUkUcSpJEkmcCpJEkqaCVItCa2tBrkqMZW4psDrfJYsCXxMGKfUwoVUfMjPRpR/3ufUxw4e+PM69j08wGfhcudmwcUqyfjpg06xky/qICzcv8eiRPp+4Y5Zx5TE7LhhrCsYaMe1eyme+WqMVGISwwOoPPV5905BP32NrYtpdzbkljy3rWrz2OV3u3dNh9/6AZpigpLAg1w0GkdX63//iNrs2nuODt61w95MTHFuqs2FMMF4zNAJNzdMEPnhKoKQ9kaVzprIMg3ZSTeviCpc4oFuCgDgVxKnLiqaCfmK3TgrDSJNEEc16l9e+bInveekK1+5KWT/lMRg0WekGRElAFHsO3CMAjyQnj+1Zp8K737pj1/N0v9d+T73x9Qf51xXgy8ttlldWkEr8wC233vE/bv7MrdMr7WUaoSJODV5q8J188FODLwWhEtQSQVf59D3FiZWQU/c0uOexLv94ZYc3vKTHy29aZmo8IIpChrFPFDtGcEBPUkWSuoRNWgBcG8fcuqgpsy4NKKldAKsJ/JQwiKmHEa16n5Q+X3xQ8ndfmuDxw+OIOGT7pGHjhGFmQjE7FbBhRrJpNuaCDSscn+vw559qkgzrbNkimGh5jDVhrBEj/IiVfpOJlkEIgTEQJ5KpUJHohE4c0OmlLK0oTs7VufzCFj/+7cu8/e9Djs418VTsTgyPJKkxiCQbpkOeedEKV13Y5YmjJ/nQl+vc8sAEp9p1mqGiFUDTNwSewVfgSZvOF6JaXacBo+1Jl2pBaiBJhfXPU0GU2iRRPxX0U+gnhiRJ0PGQ6VqfV7xkmTe9ZIXnXZkwUfeIkiZL7TA/PvZeOXBbJydO7VU3ThTDzgorD395XRTL/3HhrhuShYVTfxMETVqtrx/Qv64A7/f7TI6Pvebe+x74ky984daxQX+FZt0jSQ0qFajE4EnwUoNKnGuRQiANYSroK0FPBfRTj3PDGp+8t8ntT/S4/gtd/v3rO1x2wQrrJhRjDY8oDogSnyQpQJ5mAHcdPsbg+jQzcNtaFpvm13heQhgk+CpipR8ztxLzhx+tcfjcJA/unsDogOm6YN2MYWZcMD2mmJ7wWT8t2TCdsHm2x/TEEp97SPPAkxNctUUw2ZK0GpKxhqZZjxD+kDD08JT9+8ZAmkr6Q4/+ICbRwpYDdw2LKz5nFsa48ZIuz758mQ9+oUZ9UeHJ2ALSeCRpQBTbHs+ZiRrP2tnlWRd1ue8Fpzg6J/nbWyY4t9zgxEJIoCRNXxBkMkzawDMn8kyqYJk8MYJEQ6wFwxQGCUTaQJpAEiPVkE2Tfa7aZo/HdZeljNU9kqRJuxMyjAML7MSzTB17+RU2TpSVkznArZwcdrvcf8/t01Hi/8muS69ZGgz6n/h6YvLrBvADBw6wYcN69Q//8A8X7d67b6zfW6FR94hjq+Gsp231sUoso/hO7/kKggRqqaHpCfqJpOeF9FOfhajOLQ+Mc9eTfZrhkH/3yjZbphO2b+pz4xUdPGFbxISwlz+blbS10lniyB5Pg5AGJayXa0hAJjxxWHL/Ho+b723xxLEWUdKg5Slm64appmGyYawPPuYxNe4xPSHYMJWwabbPxtklbn98yF/evI6NEx6zYzDWVIw1Ba1GQj0cctc+xSDy8JsWVMYIokRS8xTX7Opzz2MTtvCpn7K84jO/HHJ2fpIff9VZTswvcM/Ds/gSEDEaSBwzDiNJt+8x2aoxMdbk2bt6vOCqHt/zojn2HNd8+t4a9+6ps+9Qk0R4DIeKXqxQQiKEGAk8XU7AaBJtMFrji5TxIKJGzLOv7bJj44AtMzFvfvmQeiBp1n2iqEG74xNnV9TEJ0llSTq6UohEFiBPrEUZOYBHsaDbbnPPV+8aO3ny7EWvfs3r1cGDB9OdO3d+8wB8z57dTE5OBg89+MAPaZ3+XntpiVrNJ44NEm2ZU2YZSQt0L6WQLRnI3Ws1JWikgkEKA99nkPr00hqdTsr/+OAkJolZPzvg8gsGTI8nvOHFfS5YFxHHwultCSXmxulPKTVCCj5yW51HDzYRnsfRUw1Onm1QqyvGQ8FE0zBW04zVoFUXjDcUYy3FZMtjegJmJhLWTw/YvG6F1CzzkTvG6HebXLzFMNZQtBqSVl3TqiX4fsTn7qkx7En8dbZbNJMozbriFdf3+cpDmu5Q0u2nrPQ8ljseZxYaXLajxRuet8KDTzQ4uthCSQ3ETi/7xKl1kwaRpDvwaHcDWvUGzfqQy7YMuOGSAcfPtTlyehnPT3nkkMc/frmBULZwjdH5g0YDGowhjlK2rU9404v7zIylXLLNsH4a0sRnGLVIEts1lcQeceqVwOxcklTmwM4e2zhJODPAavvYuV+p8ZibX2B2/bbfe+jBB3vbt2376717dkeXXHrZNwfAT5w4wdz83K5TJ0++86EH75dSCnxPItAIKS1zpnazwMY9FnlQ46fGBTnCglwbGu5xpAVDLRmmkkj7xBrmumN8+VGNIeXj99qRDRjttiyL5ywykVUkSqRSJLGH1B6+J2mFsGPW0PQ1jVDTCKERCpp1Satu5dB4SzI5BtPjCbOTQzbNdkhZ4g//qcadj61j5zRMNhx7NyStekKjHtFs9KnXG4RKoqTT4Fg5EMc+g76gP0zpDBVd17nU7iiWmgEnzo7z3MuH/Owbz/L7/+hxbDlECI0xMTo1xIlPFEsGQ1vG2up7NGsBjXqNRtigFsa06hHPvDgi8GOuuzjhzS/p4anEJYE0Iiv6yUFurzBaS4SQhL4CAgZDj4VFz9XtZDGPBXKaBfmpygFtN5GDO80SS2kB8CTF2bqukjM1PPDAfVII+c7BoH/HYDB4/OuBzf9tgN/8qU8Q+F79yKGDrztwYL9QUiIRCKERQtqCqVLaPcnvIVU2Wk9TSFz1W1YFl2hRemxItLP/jH0v0pLESFLtEeuQ1Nle5VuepRTgCWE1v4Ja3VDzDDWVEvoQelALDPVQUA8kjbqkUfMswJuCiZZmaixhemLIuqkum9Yt8Jc3az5wy3q2TihmWpqxpqLVUDQb0KintOoxpxc0B0+H1AJ75YKs0k8wiDx2bNBsmBmwMgjoD4xjcclyx6NVr9FqTPDml5zj0OkzvOsTm/Gkh0GT6pREG+LEYxgp+pEtiurVJI2BRz30qYcp7Y6NMQI/xfdSfD/FkzaBJqVN52elEbZ0xdbgW5AL2tpVWWoX17j4JtEyj3eywD7RlqHT1LpZ9jWRs3axUXqNUs5CYBA89thjotfvv+6CbdsPfuITH++/5jX/e43M/9sAD0MvWFw898sL82d/OU2GMgis/yz0anCnUqOUBbSnRZ6ISVNymyp1TJ5ZV5mXnRpTpNndY+vlijxQKmtuwGXybGDlSW0DXGWdBV8JW2rr2+xlLZTUAkk9VNRrilZd0moYxpspE62EqbEhM5M9Lli/wL37hnzwtk1M1kLWtzRjDWHBXZc0a5pmLaHVGHLvXnhkT4OLZo3TvUXavD9UXHeJ4eIL+tz3+AS9oaE/SOn2PQdyn0atTr02wXc9f5FH9p3jnt0bwCi0Tu3JnxiS2OT1JP2hR2NgqNcUtUATBj5hkBJ6WUbYlhgrpW1phCuPQBgEhZ4rgnNbQqwzR0pn9mvJinWlxtnzjL3T1DkyqXDklOUnsveKLXXEprWg0+3LU6fO/NdavRk0m43fAaJvGMAH/Z4cDge/8cmPf/A/LS+dCWqBskX9zm6SQuQ7MpWGVAlUqu1jDamyGjzVxu0443ZUFeA6t7IM2mXismSFMYZS5r1yxc1S1YX+dxlLBX5etGWzf2GgqIWKeiho1AWtumGskTLeTJhoDZke77Npdol79vb5jfeu59iJCS6c0Uw0YKyuaNYVzRo0ayn1WkzgD2gPDEoqfGWQsvhkGRDiJGCsHtNLND1XZ90bpHR6knZd0eiE1MIW2zfE/NYPtflv75N8dfd6DAptNGmqSdKEKNFEsWIQKfqhpD5U1AJJGBjCQBF6Gt+3fr+njAW4csQjTFHkVj64LrVvHIkYnQG9nGPIUv8W1DorAdBVgGfEVAZ0RmY5uFNXRqENR4+dDMJa4xe//83f5/d6vV9rNBr/7HT+Pxvg/d4KWse/8+Rjd/5ce/FYrdWQaHcWptoCKpVWTigpSJTNlKVK2C+j3ZYaB2bjdprJQZ2ztAajDakRJWAXGyMAF6LYpLQSRUmBUtYu81wrmu9JwsAOAKqFdiRDPTQ0a5pWI2WsETPeipga67Npdpl79vT4b389w95jU2ybsg5Lqy5pNqRl77qhUUtp1GLiNOL9X2ghlcKXBiUKm1CbjOl8vv9lS3z+gYhOFNJzAO/2FZ2uoh161IKQ0B/jkq0Jv/0jC/z6Xwvufnw92khSbdPqcWILzYaRZliz5a5hKKj5gjCwmc3AM3nG1lMaqayTZa+wJYAXKU/A7Wtw5cwUjJ4XrdkraJFcowTq0cdZeYAjL5c9texdbImGPXsP1z7/hdv+4ytf8RKx3F75lYnxsf9vAT539hAY/ewTRx6s+2qIEsqeldkXSQWpBKVx94JUCis1MlCnBq0ypnZfMK+VcPfZcyNsHUUG6mzHj3yuDOBZDUaWycvY2/OyuhOJ70tbvxEIaqGdedIIU5p1C+6xZsTEWJ/ZiTb37unxG++Z4omjM2yZFEw3S9Kk5tGs2fqVei2hHkb4/pCTC5P4yrbYWVuuCDLTVJIkio2ThiSJWYlrtitmqOkPUjoDSb2nqAU+gV/D98a5dEvCb//wHL/6V3DPk+scc2ri1BAnqWNyzTDU1CLJIFC5BPN98D0r0Wydis1JyMwbd/drYNzKFVz87gq2tJNaaZ4NFcXVVpdAXQJ2VhawJrnlQIdUa6JowG133F/ftn37s6X856848c8C+L7HP4Mnh43HHvpcoJMl6qEt2lGZvpKgVfbFBKkqf1FhWVyb0pceAXYmQ7LHOVubgrnP89mkKIqopAQpRQ5uJYt6citPoOZDGGjqNUM9tPq5UY8Za0RMNPvMTLZ5YP+AX3/3JI8dnWXThGK2qRmvC1o1SaOmaNQF9Zo9OWyqP+Ke3YLuIKCmcCeZ6zM1RaAZJx7NmuLGKzrc+8QYvbhoB+v1FZ1QEQaKwA+cfp7gsq2a3/2xc/zSX8Ddu9cRa0mstWuWLnowh4EkDLRlb1eb4ruT2244mVLIOOmyvGuBPEsKGUSe/SxqWkSlgKuQlLirNaWrdBnY1dct6RXlAmfOLfPeD3wieNPrXtl4/wdv7r35u7/tXx7gi/NHGJvcOrHn4Y/8udD95/syRvie1biKPGtpNbZwZ2bB6Fpjz/pMa3uiYGtdNM3qEqB1DuyiKRinvfODIVy7m3TgdkVGKgc4KFcx6HsQ+NhOoMAVWIUpdScvWvUh460+k60VHj4w5NffPckjR9axYcJjtqEZr0OzJmjWFY26opGzd0otTGg1Btz+SMByu8bkZJEmzwCjXVAWp4p104qXPKPL7fdr20Xj+hstyCU1X1LzPXwvwPPqSKm5bKvhrT92jl/6C8Pde9cRa4/YVQDaslfL5GEs8+rCwJN4nivCkgLlZfuG/PNlJ2EmVURWlUaREBrdKkAvSUo9ckVOU+PMgQLIBbjJr+iJLvWTxgntlf7zd+87/Fc/9WNv/IkbrjuyfMnF2/9lAd7vnGTYn/ulztLB746H5wiCEOnYW6V2p6XSuR6pkyXaWoLFGS7y55n8SHMZ4jS3MdVAcpS5HdKzjFyuvWVWQVfo7qxi0FPY+gzP4Pu2sbgWaGpBSr2W0KjFNGtDWo0BU+NtHtw35Jf/YoaHD61n3YTPukbKeMM4cDv2rknqoWX/WpjQCCMSPaQThQgl8TMGzzW406zaZfhin2YwsOUCUY3JDOSDlF5gGTwMpKuJD/PGkCu3G97+E2f5hT/T3L1nPbH2GKaCKNWOxQW1WBP6hsC3vaueizs8ZUuElZRu/7iu/Oy+VJiVn5jlWGcE3DkJlYjJ1t67q7AupEnlsTMOCuliLeFc0mjBiVMLPL77yHd/+Y6HDkZR/Kv/ogzeWT5Gc2zrtt0P/OlV6eAEtVCQpqlzSaTrfncSxDF2qpxDkpoiINElcDsdZ9zrxQ4TJaYospKmfM3MWLscVGaXW9eho1ww5XkGX1lgB57Jqwdrfup0c0y9NmRyrMd4s8M9uxN+5S9neOjQembHPWbrKeM1Q8uBu16zdmIG7nqYUgsSxpoRu48YbnuwSSAlvtIuiCs8imwfxKki0R4vfGbMRRd2OXiszmyDvJF3MEzpDRwLewrP810m2HrXV2yD333LPL/6F5o7nphlENdtMiwxNFwNd+hjQe5lVy+d97ZKleZXOCVFCeCiBPLSZXIVyE0V4CVwZ6+Nys505Eqd5pocdFqAPMlKnVHsOXCaz3zh/qve9t/esm3/wRNHL9655esP8EH3OH4wsX3pzO1/INK510ixQhj4JIlAamsDWkkgc52dpsIFHCbX3Tr3sUXlkjYK6jI7rGIQyy2OwUfALQxSlcsC3PwUx9yBp/F9TehrwiChFiTUwohGbcjUeI+lTo+vPA6/+3cbePTADDMO3BN1Q6suaNZE7pVb50Vb9g4swOvhkChNGfRr1JQ9yaQQlUq+LJFiA03PanlvyDAy9GNRArgmCFIC38P3JZ5SKOnnAEfA1TsEv/sTS/yPv0+4e880p9pjDJqSidTQSgw1N3Eg9I3z/jMnxeTsnUmVDOD553UfOh/hUdr/xh2U4spqcm1eAXtZsqx6XLWCM7Bn4M4y2yvLfY6dXnrNRz791fQlz3vGf9x76PSRSy7c+PUFuB7sI04aN8S9B1+nh49SrzVJEpsNk6kklQYlJYnMwCtJpbOTTNk3LUBug5Nsx4hix7A2uEdVYXYQ7LiHjL2NkyemNBzIlsX6nnZjJtIc3GHgwD3VZW6pz1vf3+ATX51lvjvJ7LhktubAXbO6u+ECy3ooaYTGMbjV3rUwAiK+9HDAUhwwHVKpx0ZUr1BpapsfxkKPF1/b4569EZ04ZDzWtos90gRDW6seeDJvvlbSR0iboMHApVslv//vV/j0PX1+5z3rOTE/SX/CYyIQtBJNI4EwtqOXA2UHGvlZoClFHgRn9+VAvXxiCpH3ilSkStYpVFxxTUmbm9LV2VRILXUuWRnkhRMniLWrS9eKL957kLF1G17nN5rvX+n0j3xdGVwnKwjVuni49On/wOBuaqFBxolL8yorUVKbqZRSWnCnBq0KYKduLESmwXVe95DpUlM5+BXWLssSt6MzZsnSzZkLoDKAK4MnLbDtgCA77yTwUwI/oRbEhEFMq97H83rc/kjKX31mjJvvXEekx1g3JpipWVliLcDMJ1duE465y+wd43lD7npygl7ksbGRfZ5RBs+sNFthV/MVz76sT6ItwPuxYBCXOteH2gaHnnAsbk9k4ZLrBsHMhOC7X9SlFZ7iPZ/p85UnpzkT1+nVJGOJoekZC3LPxSHKuLjEOJBn+1AUteMSJAWLlyVL+ZDkDD5CTjnQS65LBvQsx1G511mJBnm5RlaTPsTnI19+guuvueg/vOUNz3vo29rd/VPjzf99gA86h9Dt9yO86U1m8PgLSM/hexMYk7hda5BSueyk3VGp1qSqSO0WyQHhsmJU70up9ipzl6yHsn0lzIg0ybJytmLQOjra1Xw7cCtbixH6MUEQU/MjGo0BQdDj727xeNvfrOPg3BR+WGNDSzAVpoyFhmYITddhXw9ttrPmEkK2fiV1VwIrT+ZXUrpRQKAUgTR5gEnpq2TlBakrSIoSn7o/YMNEn+Vei34s3Lg1Gyv4fupsPuXsTksqohK42srH1zyvy3WXz/G7fzvgA5+bZTFp0gt9mr5kzLM1OKEHgSJvhvCypI+78slcqhQJoDKplMWKyf+hAnBdfqxHWL3M4qbUcFHyzmOX+Yy0YJAKEiFZOrPMF+945AWDQWfT6XPL+x/Zc5xnXLr1f5PBTUpae9P2tH/fXw6XHwPhoWSK5zm5IKw1KKVEptIBPPO5R8CdAbyitx2LUwZ3qdS1dBPZlFkyO9AUultmE2c1ssLcqQN5QuBZSRIGQ0K/z5GzCe/6dJOP3THNobOTjDV8pmowGaa0QuNS7xm4pQO3zJNCNae9w8CeOGPNIR+9y2P/0To1N4ErbxejQHk+xsG44qTE49Jt8G3Xdfirz07TbXiMxXagThi5uEFpPE+6sXWUQO6XjpW9KlwwI/mV7+tx1Y4T/MXNUxw6M85iUqfnezSVoOGAHkhjTxznMuVXv2y/ZvYhhVyxX8FU9Hj+5x2i7Um8hp1I2UYsneilrHWiRS5TYi0cwGGoAd/jlnv288oXXPOXr//eG195dn7laaXKUwJcpwOEDOkvfWXLcOXhndGwg5A+QmqUSUFl4LJVZmkmT7REaz3C3LIkR0R+kDNgZ9VsVTvKXYBLl0YhCmCXi7mkA7d1TTL2TvG9xHbueAlhOCTwhnTSiHd+OOA9n97AyYUJtKozNa6YCgzjgabhmLuRp++lq1Nx0sR55zm4A5u9HMYR+0+EdKOQydC5OFnSKXMlsu9qSjUpscdY02PHlggVDuhELfqBoO6G7AROXvlOoniZ6yHUeYJXxex4jx9/TY/XvfAM7/n0Cu/6yDTz/SZ9r0bNUzQ8QV0ZwsRYNs/q9GVR3pBlOVcxeelYZAerHHyWpWUZ4LpUapFtWSY0a5lLnUxJjGXvSEPfPcdTzC0O+cJX9+1stepb3vjyZx4ZDCNqYfDPA3ganUKo8Vml5IdN/8u+8iTZGIt8dqA2SC2RWjoHRdpKQS1zlrJyRK4J7MICdM/XmMkvSto7K+/Msm4Fe7sqOZVagHspnkoJ/JhaEBH4Ee1BxF2PSv7uljE+csc0g7RFEARMB4KJQNMMDI3Q0AgKcNdCSRhKQidNbGLIORMO4IFvM5+HTxu+8kCDKPYJm2ZVgJkTR67BbTAexQrf93jJdR0++MUue0806dfsvJehbwgS8GONH2mUsnMarYyQxXCfDOCZx64ljdBj/USfX/iuHpddMOQDt7S4f/c4c/0mAxXg+x41T1CXEEpno2b2qjQ2nyAogbxalFWxEUvEZCgdzxJzjyaG0sw2zoJubcuhYy2IHcCHGmLnp4MGT/Dhz93vv/GV13741Fz7GXNLnbl/NoMrb1pGvcduGC5+YlyKAVLZlYKl0GgpEdoWWEktUFo59rZsrdxAS12SKbamQeSlmGWAZ4xdktuF1BMGib0XeUpZ5+WeVncbPJUNDEpzOeJ5Me1uzJ2PC9772TFueXCcxXYLWa/RqismfMNYoGn4hkZgqAc41rbMXQ8ltUBRCwS1AFehpx24NaFv9bfyhuw7ASfbNZtYcfq2mjgpAGD7IF2JqZZEkcf6McHFW/s8diyhF/t2TEMMQYQFXz5ZN0vUgBzpzMlOnsyGjFNbH/6ml/R5+fVL3PpQh/d9boz7d4+x0GnQlgHdwCNQgkAKQont4ZQGT2RxjZtCIFzZ71oAH7lVAk4K86Ca4ncOm7tPHJhjLYiMBbvOolSyhhZDFKe84wO3jf/s95obXnz9RZ/NWfd/FeDCHAoDb/hncfxkE5najhJc6aSxjG1rk5WTJBKlBcbIfGJrXmqZAbsC9DJzs0rUFXURVnuXC/Sl09rKdacomaJkSpC5GTJmrpNw+wMen7mzxSe+Ms65lSaiVsNv+Yx5MO7bTp66j5MdUA+E26QrOXW6OxCEGXtnAPcSgiChFkQYE/OlB0OOnq4zMyXwpXY6VhSNviW2MyV3KU0V/aHPtvWCl1zb42NfjejGPv1YUPMNQWJZfBib0lVK5X41QlZkit0KuWizph71cMibXtTnW65b4ON3dPj0nQ1uf7TFuXaDvgjoBx6er/CEwJcCX0p8YZzUMkiEk1wjhVkj3y+3EEcBjhiRJ66T30BsrAxJSk6LBXRa2uxQUQ089vj+5mBw0589uPvUZUCf89zOC/Cltmap3/vepP3uiZnxExB7pIljaCHt+pTYnShNitYyX69SG4GXS5KiAbi6lcFdDllEUXwvCilUbG6FB6ltLODkSODF1Goxg2HK3pNw5JTiQ18Y57P3j3FuqQl+DW/Mp6EkLd/Q8jR131D3oeZbcNd8O5PQlpnK0ibc+8aBXOcgD3zbnnbwlOaxwyH4vrvMm1KKvpoWLDsNadYUkNpxzlfuGHL5li57Tjbo1wSNRBDGhqHCWXvasXfmpmQWZKFVcp89l4rKTR/wGUQ+9fqQH3zFkFffuMznH+jyD19scORUjT0nG0TLIUnoMfA8pHKjq3F/zwWcXhaEko2iMKvZ3BRXK2OEvWI5UGsDKTjmzjr7rctStB06UOu0YG/t3kugfbTDY48/yKmZp7YKzwvw+aUlEUXDn/3zv9k/sXNTg2fvSrhuV4zvg/QEOpbEkUJLWVmM1Y5rKGtuC/JRaUKJwctBSlGT7HaaMEhsUsNKEm1HP8iUMLSTVJM05cwCfOHLHgdP1Lnt3jonl+ocPNWEMEQ1PGqeoukZmp62LoJvB+fXfDuuzYI426TblAM4TnM7cPspoW/Z255YEYfnYPeRBr6s2oO5RKGoB8+1aN5AkPU0+ly+rc/F63o8fiihl/i0YsHQg8DNBFQlgEspEFJWmBxKQZwuyaCsbzJVxKnP0A8Yq0d8/8uGPO+qFU4urfCl+wIOHQ/5/IMNTi3USPs+WnrEgQKpnJNiu/IlLuNJtR4of1A6pnqUybMmldxdKPfSOlCb1P5PrbEZH43wUqTSXH/FkGdfPOTFV3x55sXf8ov/4T//u31vF94usxaOzwvwt77r4yRxwkc+uQhmHTs2RVy5I+IF1w24bHvC5qmUi7ZHBAjSKBvVIN2YNAtwg1zN3AintcX5a17ziL1g7VyKqBQ/TIlTw6HjgscOKb5wb4PHDwc8ebjOyjBkGIXgB6gxn1AJGgoanqZe8oFDL6vTyMpmbV146GRJECiCQLoTwBTa209tZtG3Or8WxBgdcXZRMjQhnicJpMEr2WyjdR0ZyFNT9Dumzg8XeMxORUg1oBv79DxhnY64KBjzlK5kIKUoRbHZsCMKkslay7L+ST9V+fiJ3jBgw2TEBetjnnnhkH7U598dbvP4kYAv3FPjscM1Dh0LiRMPEyqMVCCsY5ZngyrJ/ALga1J6FoGY0n0GcEosbSywPTQ7d0Rsnkq4dEfMC5815ModMds3agIZNfXKLd89xHv7/xKDv/UvPs7Zxa769J1HRD8JiGPDIwd8HjtQ4/P3Nhj3Uy7YknDlJREvu37Ii6+JwKT4fkK9YdwkKQlakMYW/Lnuzhlbrvr+QtgzWkhbN4LQCGmII0NvYBn9yAnJ398S0osVDz9Z48DxkPluwDANwAtA+agxRSAFdQUNZagp7Dgz5QqPlGXtwBc26VEGty8JnCwJAwgDnGtiU+a+pwn8xGVEY+q1iHNLKV+4u0W7EzI5LvBcfJAVfa0VjGXHNQ8ItWQ4VMxMK15+44DP39/nWLtJ35dWpnjgJwY/zjxr57HL1NqFlGedyPxvaOOV/oYFepAqUk+R+Io49Yhj31qpfkwziHnelQnPvmzIa18wYN9xySO7ffqR4gNfaHD4jA9C0ut7pJHK26aMR5ENWnN1yizJUfJJjUYkBqGNVdZGU2+k+L5GYHjxtUNedt2QKy6J2LYlYdw3zIwZhHEnaKIYtPeI2sQzVbz4t4k/9f1fO4Ovm2y+s7e4fHUsJAQBmBRtUua6HnOp4fCi5u7HNB/+YsLsZIoxmmt3xbzppYO81252XHPNlTHNWgZ6kZVPrGkGZsN52j3BI4/6LKxI6jW4d7fPp+6oMYgVg1hx+kyAFh6x8dHCB89DhB6elARKUJOGmgN2qAyhMrYG3HOer1cwd5D1ZebgVq5HU+TsHfiaIMgKtNKcvYMgRqmILz+k+NhXW6jAs3ZbRX+fn8EzLzxNM8dDMRj4vPqmPp+4a4UPfGmcblKj6XS4n+nwOEvKmLxbSAiZA8z+KVl1L0oNw0kqSTzL5L6nSDwPL0kt0FWKUnaQ/mQt4aZLEm68JMaIIW94UY9BbFPnn7wj5L7dAfVQML+ieOTxgJWedCrpKUCerzxhWwOvuSZiZiK1lYOp4U0v7XPNxTHGwOykZmrC2HX2hECniniYuXV2yJP0Fq9W3vg7gR//mhh8YXGFqcnW2K/8/j9dEsVa2ZShXVsGo0Aa8DTaGIZGc7btc3bZHq19xwyf+nJqs1mpYXxSc8PVEa26bSo9vyZxO8W5Dstdxf2PBay0JdJTdiaK8SwzCc92VkgPpIeUEl8KC2ZpCKUmkBYIgYJAFTP6LMiLMcl2jR+ZNx6XwW0Z3pXV+hmDp6UtIfRijIk4OR8QDWuE45LApb2Vq8qrZDFL2rSc8Cq60xVR7DPZUmydiQjEgH4S0k8Edc8OwcxqSLKElpLl8laZ/y37NzKrVpeG4GvXJ1lIoyRJXd5AufWPEuIkRcU2l+CpFCkTtsxod8XQXHbBgMj0kJ6h3Rbc/5jHck+icsVSDaqrR9qW1DZrhmdfHTM+qTGJfacuBZ7Ikn6SNJHErqM/j+V0FtOBTlMVRdEl9fU/PBYPX7vih9XezVUAP3hinuDs8tsffPL4i053UlCBvZYKlds0xaWmVMCNIcHQzt6ThpVlw+kvN0tfcS2AZ7qtuLwZIdDZkgu4mlNhtZ8QEiGls7IyULu0s8Qt3Jr5xqV7z3XSK9zSe+Tgtm1disCBO/DIS0wtgzsW9zSBy476fkwYxhyf1/zt55vgBfhSFAFmLk/WqK0uBVxZ3sCCTZGmFuRvfnmfj9/e58mzLbqpTyOxi9LaKkBTdOKoLCdA4VFn+zJXArJU4JVtOq+F8TyFn9p5Kb4DupJF0szWjbvHQjuLNsUTGmE0Mw3Ntz5X2+FLInPAsvUzzkNqxsVgWqETL4/L0kSQjORLOM9jbQRJNGS4dOhFfuvI241JfuppGfxjX/gkSong0Inj7oOqYsyXMeTr1I1qqvw5lddTvwTsPMgYzfeKqn7LL7cWzFkLmhLgC5tWDoWVAp7EerUKV1PhHmeFRB6lOSgZaxdd9QXAZS5bwsDkLW1BoEuDcxJ8x96BFyNlxNEzgrmVGsLzCCUVeSLLX6t0uMvSoQI853REic/02JBtG/rsOTOkn3oMUghTN4I6cTo8IXeW8pyBUKWzSeS73DpcJq/mLKSRxkttcZzysuXLlStWs66FksUmpEaJYjKWvdfIyC1+VTYIXP6iyG2WODyHRBaTZXU65fuSjWzyfHbhvmGlWrd7kGMPfzAQa+R7VgF87uyjKAlRLwVTq5SRVUioUg1lKncVsD/dTYhK8wJCIClSxHYqlQWxLxxonQTIHuevjYA8GxHhKbu4lOcV81AsuKW9DzKgZ8GnA3fW/ePpXKL4ntWnQRCTEPPpu+qcnavjjyuCcg1H2UGpntIFs5b0cTnpMxjaCbavek6Xux4dsJLU6Hke9UQTuXS6kkVBVFZwZqeJZX8pCzRH6j+0m6liXM+sFnhakCiBl0q3ip2t5Ukc0ItkWhY8OxZ3JoBwVq7ISnhFcZ8hW6zB5JWyjHKZxkhd0tr/2+5Tz4tJBwscO/lYvvDWeQH+9nffzORY47l/9Ldfuu7Y3BlQdlUCLytLXePDZWfYKNzXrgakcqJk3rD1VIt7hbXZsjSxEsVz5cpii44dHMjJRyGUgZ3PQVHYfsS1AJ4FnJnu9jJZYpzertaSB35M4EecaWsePFAHL8Bz8sQrFShlGUwxgnB78EzB5Hlfqsw98Tj2ufaiIdMTfdpLDXqJoqHAT+x3yWY9qrgMcCzI8z8ki+OTlUVok0+p0kqTaoGvBamSpEqTKkHiQF4uXquC2+QAL0ZO6NwkKGasZEBfE9KrwW5WPx/l/vxdV4+UpIrZ8YRXPye8zjRf+9zhwrffGU5/z9oA70cavTL41tDzrkm1IAglgbCZK0VVR5Yvt1BVWmuNdRgFNRSZMImpALw8ck2WgJ1PqSoDXGS2WdZcLPLnvhKovHulAHbWfGvZ22luj1xvZ5agZewC3H5enRgjiLn5jpC7Hm8hQ49ACjt/O68gLNroioq/0WxmUYym8xmAdsBlf+Bz4xV9vu15Hd51c4soDemmklpqGCalk1qUZIqUjsXLf+p8TA7ak/nItAzcqZIopS2jS+lGS+hSKbLOqzezQjcLNl0phsuAnbG4KLFrIV3KmFnLS119SuQl01klqZEMdILxvGtq9d63ouM7yz+fA/zRfSeYnWy+/Pfed+v3HTy9TKPm0VCu2MYVO61Vd7DqM5XUyuiMjRzg5fcy9qEAg8wfm2IhWCfNy2BXqgC7l3XQK/u4wuKuG8ZXVXDbcQojzO16NgPX3uZ7WcNBUtpiImL+4UtjpCZE5dnLcoBZ9DVmzkZFg2csntVFa2kbtdMs2PQQ+LzpxT3e/+khyzqmn9bopwI/IWdxKQ0yEXnRmbULR7WoLFmTpXoQLUg91wGvHMg9g9JWrqTKoFJbwWizx7IAd25RmrxGqLiKZAm6EsDPp8fPkyNY61a+EuT4kIZUNjC9BVSj832Nme+8Le4f/rxf31EFeBonDAbxRWm/t1P3V5iuBQWwcx1p8r688yO8+DAVt8hUAZ+zeM5w1co7VWJAKVZrzoyxs5mDtotH5Fo8G41QGXbjgO0pUTgpuR1oO+5tY7JxzF0EmF6JvUM/4sEDkv2nahjlo6QkkNrJqLJEKQT4qtLSiganUnWZOSpx4rNzU8zlF3b56r46sQroJ4KaWzzASwQqXzRXIBOnw3Gjqyt/UpRYXJSkUake2zWIe0o7cLt2NmVK4M5qgWwfgMhLKEBInRMWJQbPgk6oMnkVuCOvn9dwE4XOz0s5FIPBEFGPdwaT0UU6ST+f/Zcc4PNziwz7fYj6TIf2oGd+RxmoT8Xea33wCnuL4uwt12dkj2UJ1IJqwX1muxW6XNju+QzsrtMlZ3JZjGkrlv92zF0a/mO77cmBnWcrc+ZOCTyb2LFdQTGGmH/8UoOFhToi9KzvXj4JR6RJha3KNRm6yqoVb1or4thjZkryxpd0ePDAGMO0Rk8F1FOrxbNyViVx4M6uFW50dV6YCyArwZtxDd+jU6lSN0xTaRdPSIPSpkgsCVnV4rlMsaW7ZeaWDoCFXCmdbhW5+zSGhBh9mJ0sxetpKvB6KbXeAmlSFBfmAP/z934cpSRn55YZq0mQxRSp89X9Ph3YKxJFVE+WLOElSo9zqSKrYJcl2y3r/i7PHMwBnrN4NmhTorwqwAPPDQDys6UDXYbTM/h5Kl67x2ll85Tt3HnyKHz4lhZDGaCkctnL6ok4msFcHSa5+7xOutzaZxk8ST3C1OONLxvw3s/2ePRQnVj59KQkSLVzjwQyNfmgUSkMQoq87MHetPtb1XWLykyeavByC9FN/XUlASo1+bDOfEVqKQrmFlnZgCmATQngAlZr8qcB+HlAXWaK8lCiVCvmz+5jeXEOW6tYAviBQyfZuWNT4z//2p/uOHV6nsDDrbdRrdMWT4NoscYLZbbOf0f5CzMSjI0wYHapz4AzOg5Zlhg7CzKzqU2ely3y6rS3GgF3lr73s8ZkbWeG5C1iWU9n4rYY5UfsP+nRiQJQnpMnZqQ8dvUVquKilPSwGfXCswHzutDiTV9wyeYBj+6PSHVIXwfUUluz7TkNroRdyNUmlrLQTFN4Xzo/KHmG09XDePlgU/taNjDV07gOItu5lTUkFyDPQC3ykR1FxxUFm+dgLM0+zO+r4M5/bq0k0Vr4c554qg3SaBrj0zuuuOFnG72Vn+g1xrZYgB89fpqFxeWXbdk0/Ut33Tsg8GTWDnn+gr81noyeaRXmLn2xNSXKiOuQp7lFeXaekyayzORuTFtWI61KoM4fuySPwnnhFtwWwMVQIL8sT8rsrVxfZxCx2NH88T+1WOjXEKFv5Yk0latKMTjn6QNyWwItXLVomcGto5IkHmMNj5/+zg63PjjGwjAgkh59KQlcD2Ux8iG7CoqS26DzRJ1BO3DrUqVn0S/puaE82SzHDOxKCsfgVhKlowDPpVkxqTbT3bkmz4+3KeFihM1XXe1KWBLn34dgx46QDAlqs7+0eG73nUnc/zg4Bn/w4SephQGHDh9FkuB7QSWRYxj9w2sAfuTNUd1eAXg5wGQU3KJ0uV0b2DbILOYPSlWMH1MlUHtS4jlJ4uUAzzS3zoNK39M5uH0vq7+osrevYoIg4kNf8nniYB2kj5SSMCuNHbE28z5MIdY8OKMzRPKVKkoyJdHSLfLkc+XOHq953grv/WwN7YX0ZUAoRZ70UVIQl+TBKJOLMpNn45BLKW9j7ERgZexVQRthwZ1ZsBrSfH6KvWJk7YOVEcyQA76sx4vjXIDaYmS1q1IQpVgD9KPgtu8aIIkj5s+dIE4D0mRIDvBa6FOvBdQCL0+OVH8BqyXQecCdA9usZm37eUVJb1eZrtCuwllOojKMRrrxYuopAS4LgOeJngzgxs7JdlLEV4Vb4peGAxWa27K379mpVUttzSe/3GK+HULNuSciswfPL1Eo9TGW9+Watl1mGWZr4qR2IdXJMcW3v6jHJ+4asNANiZRHP5XOnhTOvcn2m9tXlQNn2Tt7SedsnjUCC7zMWVHusZsGrN16Spa93eybXIOLkvYWBdAzh6Oiv9cG+CrMCIMwZV3r7syqXVgCu62rMXgIEeR/x3vksX2sm5na/sXb7/3Zo8dPEwQenuTp4trC/atchsVTM3fluRhJhFSfZ4X8uUTJhtFIkYNbllnb6XE73J0quLOVDTLmViXmXsXg2biJYuSEp2zm8vARwb6jNTQhQnp5c25RPViOH0TJ1Si+eLkWJQc5oiRPRO5k5O1mqQfG49JtETs3DljYU8ekgWXx1MoUr+TiFKxZLvRygjsrowXXWCBKwSdoKXLrsBzbKAd06VbuKDtaxfGqBrlloiokiyhhINPaBVkLDOY8jc3n5djsaohPd+UM6zZe9rPbL37Owwtn9x/x0jSlPxxsSFP98nNzizTq4Wi149MDPYsHKky9FnuPaO4RUENpR+VzvilJkyqw83uFGwVc9sHLm1vSWpXBXQK5W6/ed6WhGXsr99zzYpSK+fRXW+yfr0NQyBN/5ECP2p5PtR+rQ0ZLVXLl1c2yMtrI48KZiFfd2OO+JxugfZLUanE/dUM+06pUygGVG76ZbShtkimXKCW5It1j6a4qMtvsyGvpNLoUuOfu2OgiDhDaHtssABWVz1JmcVHFSxnwI+Bem7erpCoQ9DqLGKNfnibDDcakR7ysBEBKXFLk6d2SMrpF9WlVM+Vnpagc/Bz47kNVHJRSkJYBWqwB7FyHK1Fqwi2B29WmFMt2sBrYXjEgKB/x5mkH8sTKExVTb0R8da/i419u0h8E0PDwpMAXVWkyGmCOBthrHa6K/h6xDMu+eJx4jLc8XvvCAZ+9q8e9ewNM06efhgSC/ERTFUBlYCoxkAN5OQVug093ginL5qm0elxLt1qHLgJO7YJLqTMJaUaIyR1LLUqfI0vQFFfv6rybElhz7Jyv4GPk1ZIqKEaXOOszSWKSOMboNE+AjP66p6jiXgPoogriMtDLzysSpQDF6PjevO+wJFGyTSnh5oAX4C5AnpXNGjyvGKHsuUWYPFUFup+ztd2UsgFmEETEUcpn727w5LEG+D5CKgeqUilD9l3OU0VYcVTKrI0bWlkec2dE0d9asgujyOOyCxJe8ZwujxypM0wCUunT14ogZeSzCCpp8hGQryr8VNnJptFKoLJ5NdLeS1lkPfPYR4I0Toq416Ve2+4tgF3W4KJ0ElZxVJZ1xXcYJQhRvOf+r9bSLsqVxCRJgveRf/o0nqdYWl6hUfNR6mul79VAX+1xFmdlmdFsAFRl9TLg81kiuSwpnhfSpGQV5oydAbyYnJpLFMfclrFNztRefl889l1w6amYMIh4/Kjg83c16PUDaPpIkVUOUrIH18hi5sxV3VtZLYpFl6tJWaN8tphrovJun1Yr4hU3DfnE7QMeORSCFzDQksBpcaVBpZS8aBAp9vIvhJ3TUPaYVeHkeIpCukjL5tlVJcs9aJsDzFfSk0JYN0WaQq7kJ7gphuqTBZ/ivORXwU4JXCL/9+kZ3RifA3sf5sTRA2id4i0uLiCEII5jQl8iZOkXmacPNstAzv6tuCoVaVJi7TUAXu6AyYGdSxSRp+czVyUDtywNj/TygivL1iqfDz4Cbrf52RRaV+DvqcRuXozvxyQm5eY763zl8TrUPJC2odnP0uRlUDOylZ+scausd0NWzkrejJyabK5JAfThwOcFV/Z41XN7PHG0RpL4GKHoCw8/Jf9MIi1YvPgIazN5eca3UhlzWza3zwVSC7QsgC5lwebSWDlSFECVrsw6Y3OD0NUVOSgFw2uBu/jM5wN09hMluWUEK+0u3d4QjMHzlAW1MRLft3+k6Kr4GtC96kxbHTxUtXcxKzs7+8ugzu9lluxxQFeFJi/S9KVNFeDOVnXIN69YBDUDtF8CdeacWMfE3isVE/gxDx+RfPhLLSAA6SOEws+TOyYvrqpmY8XISS9GAEYp8h8puiqX0Ka2dc9OoVV5+t4Yjze9uM8X7h5w/0E7SSDWil4qijp6gUvhiwoEysob7NUDRQXo2bvSgV5Lt55Pyc7Mk1qGXJ7kxJTLlHLjhygK98qruYk1JG0lAfT0iiJb5hD3+YSUeFphjMarh9J5y7bBU4jqJbOs1Z4e2KP3o0AXubNQnrhaaPDMGqwmdTImz+fklUHu2LpYbMqydjEAvwB3hbVL91ljbSZVlErw/YQ4Tbjt3jqPHajjJh7ZxgZhSpNjSwwuqwFzlbyr0DKlB3npbKlGpFJdmEq0ytaH9xhGPlfsHPCCGyyL91PL4kMRMNDgpaU8QprZhZnOLZ1kFPVGo9ZlRhrGCJTBZj+NQBibhzBGVMGdsXnlZLcMnjs6ssDBaEa7YPMCQKNxXmUHliBZqa/RkCJQid37Xq0m7ZRSkRLH1brhbHJ//lvWZG9RiBMxCvbMJip/ocIjLWwjVz8tS/IkB/lINWHJg80WmMpYuwzwgsFL4C4Nxc/dE5WivBLAnUQJvJj9pwXv+2yLYexDw3fyhLw1TZVXCa5cdstn9XlIyFSBXpYpuryqsFlLi3s0Q8kPvKLHzV9psvekPflSreilylYZpiKfJ4gwiNS5GGnB3gVIqlLFAtqCWzqNLrXBuGNkpEA62SKlHQUihQN7BvAR21SW5MpoIqwIEqtZ36dz88r7LrM609QgjV0m0RiJ+r3f+5/rPc/7f08cP35plkkqg7Jg1PNsZTCO/Fx5BS+5xu8oZx6llMXzsiuiRt2RchBZDSQ9r3BMsglQZXD7yuD5WdYyHclcFs0MvheRyoj3fqrB+z8/AWEIqoZStgmkrowbR0He4OyXWuOKTGo5ESUpJsNSCVCLWKKwHbOTVkhc42/RC6mkQRjN1g0RJ+clDzwWkAg7eUALO2LNWxNIVRIi84jJFLl9LsxIf6Qx5z0ZqhreFgWUSxDK/emVTTNCplnJgLtHFEPzdelv6PJr1cUVssWGE2244vJnbHjWdTd+0Tt75uTEcNB9ZZomeJ71EKUp1qj8WgLNgrBGgoWKHi3LkrIkGbEMy6xdZm5RNPOWnYvsUppJkjJ7q3ylB5MD3VerJUlxb50T34vZd0rywVsb2Pkrlr2t9i7AmbXT5Z+3dMktB5qi/KS0Tyvg0OUDXcwVzOY8ptnsx1SRKqfFU4/vekmPj93WYPcJH2SEEZJB6pMNmsot19QdxbQ03BRTCdCUKYJPWQKpLN3nm8geW2fEaOePaxegjli/o49hNZuXL3rlso5y2UfO3iVhUV2MVjCMIpaWV14pjh2f8NIkQuvUpcMloPN14UUWbJYFT1WdjDwfzUyNSpNRS3DE/5bVx2WA2y6STKaUHmdAzqrdMg1eAXchS5R7rJRGlfxupezmqYRUJXzqzia79xfaWwhpR1bkHTSseQBt8Fx+vlpPVkt8qg3IFU+8NJHKc7Zh4Y9bqXLZRUNe/dwuBz8YEqUKhEcqPPpC4KXZ2OMs0DWlz2RKn6AwFawvLyzYjQBj8s+oygwsTJHiF6CllQbaSRVR0uO6RGC6BO4c7KWrTIUgn0Kq5PKktN8yYkhSQ38YU+sP8ZLULrMMVjZkly0zyt6lx+Xg9vzsXa6DqFqC2VTSUZCsDfCCtbPnOWs7FvdKwC4DfTW4nebOljiRGk9mQ20s2H0/5tBpxZ9+dIyBtOBGeKWu+axH1OSfp2KFjh6d89xGF9syjsrLo6aLQFMWc1OURGlFqj2S1CdME37qdV3+6bYGB095oGLQHrHw6QuBSosgT5aDzRGQZ958ZhdmVxiNQGH3taFgcOVsRGncVThjdWFdF2lMBdhloGebHmHxnNUpPuKaIB9xe8o6XBv7HwPPTirzPE+iPFkqmpEIY3J5kl8OxOo/Wn6e67sRB6Wc7BBOgpzvsjXK3EKUm3hLDcjKuAymG4KfraYgy+AuBZXSbRW/u7RJK098L2Il0rzrE2OcPBeCsvJESFlYgyXXJH88cqBEaZ+cL8asAD0HfNZ4UO7RzA5cwd55M4RUpInH5tkhP/aaDr/7voB2bAMCYyRDraxtmJZS42mutisgN6sOtH1eaGjL6jaz6QJQ4aSskytGWHki3OMcyGsc68oanCOxAmvcjxJrBeRmLRa3m5ddUjNg6ezAiJJxMuK1i5G/mH+w8ocsOyTZ/5HF4zWZu1S0X5YmeaOxKorslShLkswq1CUtXgA6kyO5RMmXOknye0/FeGHMR24O+ct/HGOofStPhEKKbHzGSFPxGmn5TAKI8ovngXh5/xZWYVmflwKvUnYzT+FruxR4zUv48Td02Xc04D2fslocFKmQDLTt3ZQpOYMXBVjZwSoYO5MoGWCUKSSLtQaNswnJC7KktO9pYWVKUTrrKgtL9emj2jxnbSGq+Cmz+dNcFKvJsmLpcGMMXkU2CIHMjcHq4qWV2xqXkXwI+giABZT8z1HrqGorFc2rI+Auda2obNEpVa7DrgaZSlbBXViE5SrBpHRvZw0uLsE/3dpgaZiB2wLcl248XHYFkWb1VSezONc6IGVSZFSeFJfZSlVftliuWwdJa12tE5fSrYvkkaQe40HK617a42N3NljoKJAxaEWM1eOZTMkAXdXh5ceQBZ8Z6FUpKZTVp0hjwSylycGekaIQWaBZSJcCD2uBvdSBNIKlVfUp50F6ZX+W8jhe1pyax9Nl4hm5RBQHblRv23tZOuNWWVRrBGQFSMwIi48szZ2xtzAjdlqJxfPhNIX3nbO4LNjbMnZJj2fOSSPh5i/XuPexOjrT3tL1XIpMnlTrTfI5ICX2Ln/3UVdgTaagnFQrJEq1Obhgc5vClyhT+OJJ6uPphGdfGfFt1/f4208HoCIQEiMEQ+3ZMgcL01xSrfVZsrOwCDIL0EhXYWgqUgU7LNXYfWNcZtqYIjbRI8d9NTZKi1uV3nu6OG+tj178B8fg/aFmEGnixBAG7vIqSz+7hgYqH7Qyy686sGuAOjuLywFlNtBHlAO3sjUoClBXvWLjgkxdMLqTKUqVQZ0BO3Va3EkUmaCkHfx+8JjkfTe3ONMJ7HrX0g56V4JixYaReGH1CSwqgD8f21TY3D2oesfVGSbFCtHVnk0ls3u7/Mn6ZsoPfluXOx8LOXhWgogBhUYyEHatneI7rNHYa0ZlknEyRRTsKA0qOxElNqkijNXdmWRx7FyuSTd5n6ZwPZulUtos+D0Pmxdgdyl+U+2QyjHqfpfv2aVo6qHAy8MgU/3hSmRL9ayqAH0N1s7ZvCJRTBFgUrB1xuBlJq/Kk8ItyQbO5HIlA3QpsMzWyyzr7SzQzHW3TPGklSZBEDNMNX/+oTG+8mDd9rZJz2pvKW3Xjijmr5Qba1dVDq7B5GWclw/K6gxmBqoCZNXy2XIZrW03y+zCNNUk0kMlHi94ZsRb3rTCb/x5wDCRNgOlJYlzVWyNdvbZCt+7+FxVJrfjVOz1PXNSjPO+pQO8EZlX7iSL+/3GATYLRnO8mCprV0lxhM1H3h/FqP0xUSVdivHLXgG4Yvfndc1UD96a4F7jQ4jKhz2f7jYVJiwzdQb8oltcl/xvU5EoUhWyJF8M1mX8Ch2esXfqfibJGdwPEr50v8/HvtJgGPlQ93LtnbN3SXc/VUls2SbMwc7aTcejVlc+bLICbjDKMbqu1oqn2eK7JaAniUe9kfC6F/S55St9vnC/srYhEoQkFh59SlKSQo8LYUoT3wqQWw2Oc1RcXYp0Pjjk3T9G2MWlMtuwDHTt/l5e3Wiyq51ZjaFVmBsFvD1DCvyJ/ITL/q8uEYeXUc35/Og1GX0NbV0Fuan8vmrAaVaDXI7o8FyDl1m8xOQV/V0MhszliAN3ea61KjknngN34Mcsdw0339lg7+malSbClsQKWTgnxQSp1axdBboZAfRT6JMM3IYioVKWKFmgl4F71XCgokZFCoVMU6T0iIceuzbEfNvzuty7O6AdufSrWxUhQpGtA2GXCRMkWarQFMVXlJI72VcpSxYjC8mijW2AEBnIHaNXejKFPSkKKWfWNCCg9F7pZ1epi4yU3RU1c/9w7kl2cnrZOjWeElQ96KrMqLBz+UPl71XZuqpRV79XOCZmlVQpmNtUAF3W4krpXH/Lki04ytxSltk7zcHtewmalL/5dJ2//GgLIzJpUmZvO5JtLX9+NYtnB6d8fx6Ml2RJweBVLzyvC88TGNUptNYXd86KtAGn0po49ZFK8+Ov7XHglM9ffswjThzI3djkobAL9sr8rzvdIIVbMtt9rrKFKC2TGwd0aZxkMXafGGPIllNx5ytCuAZid4xNTqQl7Z3JFShZihRau9R1LzMHKNvnmcIqXQ1AkKQQxXbxMi+OU+IkLc68Uh1I3n5FAcwisDRVgD8NqLMvJt1Zuxawy4ydSZOy/l4VaKpiteO1wK1KyRxZck2UjPGDmANnJB+7rUm360PdrgVp14O0aXkv0/zZZxuVKGU2GXmcgfzpOLy8SEbpYZW9pVsh2j2uAD3bXMAppZ1p2GomvPaFPT57R50Dp1361c7tJRWCfvmTZkgxxgYbDuTKeZ6qLFeE+3xOoighnBfuJLvbT2aEtbXT5wWWisAy98NN+Wo/0t7m/i45zizYs/S/kLj6GZGTpFIaT6oQKf0R/7m4H3U/zmf/Fc/Nmq9Jufp5McOjmIyUgV/JMpuXwa1LEqU6oL3smMiSPMlYPEvJe17CMNbcck+TWx+q2+HgJfaWAitPMienlLiQ5QOSX0JLLF4iga/1lrN5njWsbpQY3LilSCpTsJweT4VCpRotFMnQ46XXRLz02X2Of8ZnqK0OzwzqBI+hsHJD6hKT44zrUd/NFH53zuROomT6t6hLWQ10G2gW+8qUcGKyK54oOS1lCzZjaYc/U3nsTpjsKuT+X63m02zU8HZs37osiD7bbITfgUnzkQB5Zd95QZtp6gL4UD4pRmWJqTyuOhEFsIv0fMHa+bhelU041YUvfh5wF9lKl4qXKVLZTh0ZJNx+f8Db/nqcVHsQqEJ7C5mPY8usQSWrV5lKrJLxoMihUAX3UwF9JNlTzmBm6fAC2MXsQJOxtxxJADmpIrQdFhQEKb/8QyvsPeFx+30SHQjH4vZAxFrRh8JfrrSyleSJkyuq5NkrmdvkOZtLJ0/ECNAzUJZHuBkhSlK3jC8BFXCLCrmutqCt7ehEOAaNpzx8v/nZmdnNy+qSi7d2FxfnDwrBW4xJ3Dy/ajlqudFgtAiqOhCzlKBR1eCx+vtMnnZfVQtdmmKq1qoQLLO2MpXAMnvslR+XpInvei1PLAre9r5x7nyoCTXfet7KtqR5UlCX5AtKZQtd5SsqyNFa7nLjc7Xjv6iHl/n0rbxhunSVHJ1rqPLYo3QijViUa8cv2ZxAk5PwzHRC6BnufTRguZ9pTgdyZF6/Xa2bKQKI/Px0TJufvWtUlxbnbcHo53WLKie2qMQhxS8Sq34u+0VZtr1y9cPGArVajfmFhR/cvXvPXi+rYhNkdls1fV6RJqusw1FmH9Xdo5OWqul4UZEoxYy7ynNJRZbYbGZR+F9l8NKyd6U0vE3oWJCnQcr7PjHOx7/cxNQUCJVXDApRFFV50lT7G8vaO99ElXnOp7tHXisdj6pE0TYhUmXxciFRUV1oZCFTjBwZMyEUUmuE8JD9lNe9qM+Th3ze/m6PKEwKgAuB0T5RCdxF8qe4z7zvzAf3XIRXsHvp3p1sOIY2gHBNCtlJahjZd2s5KpQDx7XlsMmnZ2U2ZRHwZvvVa4T2w6QpJG6Z6LKUyGQHpdcKXbTaPRkFfnVZi6oLUbgRJeY5nzwprQ1TXhSpYG/ncZf0tnSaWzqwS5Vy630hf/2ZJoPUDYER2WYXMc1rTiqBpVkl1dZMPa8ReD69VnH6lswaZJVdWC6hNTmgnQaXtl5cOoliwW99cS00qfYIfc0PvarL3Y8EfOGhFkYkZN44UqCNx9D1W6ILeUJZppQcFYStvVHaFMAuVRMagSu8yoJJimRQRpSmIDqyPIIp7TtpSs+Fw5+p7l/nupSrFUVqGEYpxqRoo/GadbvOSpxohk8D1qcGtqmyewbocgazBPYqsCldWteyCIuVvdSq+3SEydNqjbd0KXkvpjeE3/mrcQ6dDDFeib2d720bGnDLgqxm7spoiPJjyoAWVUw/hSCvNHVnrF7S40XxVXXMWqU2Jc9uGsvgQpHqbE63RmgPGaVcuDnh136kzd2/GNIZuIOUdR8g0CiGxp3ZWbOLLk68LNBQxrjspv1uuQYXVaCLMtBFSZ+LAsgZ81ax5PZiGewlC7BCIqZUP5Vpe2OglzL0YluLMjk1hZKKXq9DGveRUlYvCfkltroMRTHJ/2kALspnagnYIpMrVTlSfZ49XgvYZpVbkkuUUmJHSqu7kxT+5CMtHtpTKzzvbHM1J74wpXa0wh5c5eGX90u2T9z3E5Udl8FWrPG4eKmsIwt5UiRWLJjN6mpD4RhdlOzDbDqtzCoPFanwkNpw7aUxP/36Nn/woQmiVAJJ8SW0IJWKKM30eFF5CCVJIizgMydFZa85yaCz2EJTSdlXkzzF+TVaPl3gSKwhTco1KgXgrcqwVKG1ZnKqxdhYizRJ8a69/hWEtQbHDj/BQ/d+Fk/5BYhLpLMWm6+6bIw4JfnZV4qWc2lSWu5i9HG2LN7oil4F2HVJh5fBXS2iUtIN8amlfPGekPd8pEW779sMjihqTop2tCJrWQ3uSrIkrwFfo46ixOHFymrnGZ18nteqjbplHT7S6SOLQZ3WTRHoVKKFsVtq2dwmgxRpohmraX70DT0eeCLklq8qaGTiNaNTSFB2CG0OaoGPyYGNtC6O9cBNnuixwbItt3YjyJ0eLx6PumlZUqgK8BJrV/avGCHYLDqw72dVBnGU8Jwbn8WznnkVKytdvMDzCDzfLWet8fzqdXMU7GVLsAJqqFiGowyefaDzAbtYrcusCfIKwM8H7tImpWVv6SXsOeLxpx8e48CC79a9t8DOlilfzd5rBZfFhKhVBwPBKuIuPy7fMlIcsQYZ0d2FXCnNL3TyRJZ+tshyZv64Llg8kyzCLsEtY83OqZSfemOHI2c89p8UGG9EZEk7TWtoadElfZyA1vbDZ9P9jLCzwjOLLnvNuONZOXdKbD5qQlDaf1VVUEiVPIPp3hTn2cfDxGCERHk+yvPwlDJIN3k19DVCmQqjlH+RILsMl8+iMnOvZvNVQWZZd4vSGot5UdXTgFyuDe58eWmZ5NIkCBPOtAW/8+4xPvalBsb3bBuaKHothRAl7V2adyLKweXqLT/5S89zYJeucCVKHyXsp2T0yngFWdXh5TELwhSjkLOJtMKxuH0sEcJDp4YEgy81r3tRn/ZQ8ku/rzi7LCAsMTkCpEeiZXbtz0FuXMbTSDA6A7p9vchwWv9buRMzb2VbE+DkJ0NWgGXECOZWsXYB9jJfZLco1qRpsQ89IRWeF56RUn5+bHzy5f3+ik3OmtJfGW2GECPivixHRqVMBmaqwC4vHFpdjk7ndqDImgxG1kqv6GyZFsGmKsDtewkRmk/d1eSL9zWs7lYq19y5c5JJE1kElxl7V9ySMquMPK6AfZSwy/J79FYyiCvShJGtLFegksKXGbCFQAjpEkIare2sGW2UTQZJiXAVh6FneNn1A1793B7v/4wkSoStKpPlS0oV5MYN/jHOOcmMdqNtut5IrKviWBeBHRIkyLvEcheltG9NZZ+WM5kjTF7al2J037p9lKSamelppJSfr9fDM91eHzm74WIO7731iNHDP56cWocSSZFYKXfKVFrCSo0FpfcrHTZ5AqaQFZUAsfxzJUb2RnS3KjUtyFIp7JrglilK2MeJ0Hzitjpv/6sxTsz7RbZSFIGlcOAuD9KsevOlwLJSlyOqciUnaVEB+WqJIlYBfS1PnBGmXj0gp9x9b0cGV/R5abyErUS0GU7tWtzioWLrdMov/fAKr3lhD58E0gRMAjoBHdvHRpNoGGoYakGkBbERJFlTrxu2kxg7bTbR9j372A7hSdPSIrOmWIuzsi5nWl6jE1Jt3BLj9j5/PzXFzxj7N7ItNTCIEjZu2kBvEP3xRz5x65Grrtjl1sk0kU32iBilrG1oDJVdP1r4Yi8To8xNnmVbW4tXH1ddE13o8JJ7ksmUXJ6I7GQpwC1zsCeWvf2Uw/OS93y0yd6DITQzvV1O7Kxm73KHfLWgatQhKpcSiwp7l69sJVjn+6y4yK4FdIEdRl9i8lXsnRViubpxnTUUFMCX5cpDx9xCQCrsRCytFfFQc+nOmB/6zg73PR5wZM59+az2FPc8Y3JJKfh0JS3aBp8SCpmSOSqySARpnbF1YfMZUxRalbV25TFlrGXvmSz+Hdl/topwMEzp9WMGgxj76YGZDZfj+XV0qlmcO2wTD+UDlEWs5/ujI2Be/ZqrNcFUGDIHd6bLM82dAz0DtamAW+aauwxu6554XsJiR/CO949x20M1VyXo5ZobaQNLOcLeZc1dDigroKe646sMXlD3msHlUymUai67GniOgNpKD4NGuMcFc0uZ2YeFDtdu/ofd1y7odM/TnuFF1wz5929e4bf/aoKlXqbBcWI6kyKCRFsZQhYTOHAbafB0Buwi22ntSzNiFZaliXA1K2btfToaZJZAX5Yn2XNtRyVzyUUXcNP1V9Hp9gqAN8c20prYdMvhvbe+zfNqvxTHQ7J11su+d/lDMMreI6DOHJeidsJQTfSYHPwVxh7V3iUNLmVaCjTTQpKINA8uB8Lw5x9t8e6PtOikvm3ZElkxVWYL2mHx5YrBXHuXy4VHT1pROCbZGZAHk3msUm5o/VpRLlw2M6vVMKs1ec7kZUYv+jalc06EMAXYK68ZB3y7aaNIE0PLj3nLGzqcXVD80fvH6JeSP0icDWKhkmrBMA8mXVmBA7JduMzON5clNteO2ExJf2e/MrMK5SqWPo/2Lj8vck/5FaFRr3Hm7MLbrrv20lsOHzsFuI8+NrmZL9/8O71uZ+mwwc9b/1d1r8uCWas6vJptLPRzWWMXDJ2Bt9xiVv6ZslsiVUlnj4K7ZAcqmWI8zZMHA/7+lgYrsZuMSWEHZvcCB+5SMmd1Wr7K3quYhdIOLu/4ErN8zfjObMGcrcvbiBYvgb06IKjqrmhtZxquXhbFavFUK7RRJImi5Rm+52VdLrt4iEwTMKnddAomtrrcafLUOE1ucJocEiOIMz1e0uJJrqmd/jYl/W2qursyqs6MavJsVuOIhjelqx+GWuAxP79w+C3//v/pXbhtc8HgABdf9Rp8v8bhfXdw5vi9SF+N1F+YnLkLr7Jg6gqLyzK7V9PzgiprCwf6cvInA7L9P06WiLXBrZzuVn7Ko4cCfvptkzy2P8T4knIhVeaakNuCpsLeaxdTWQrINfdaYC+BVZwX3U8NdVNqWSsjPx/pVmFw4xjb+tJGFOxv9bjLbDpfXDgGl8ayuLXkrC7Xwqp+ERmuvijmnb+0zFv+u+CxA06/Za5KlklxFyeNZOiWFcyliGNwlWU5EfY+q1eRJX+cEkubkclXlIL4ErNDVa9nOty4fZ2mKc+85hJe/coX0O0NeNcf/9cqwJvNSfygQb0eEngpnpKrgshqs6c5j1RZK8g8jzSpZDSNTUaI82hvmSJkEVyKTIPLFM9P6RjJn320wcNPhKTeSFApVG6DKFFekazK3qPpeClKM0RGgZ9BeuS1TMZkoBZPge0yoCsy3GTGbBncjEgYm74XjvlkBfxFKl+KghntQPpMphhbOy4MaI2XGq69fMhPvrbLL/+BTycR4LN6uXtpAA+DJNaZfe6SUXmQmUmUrPzXAl2753mK3piCOExxHlWlishPhqwNjtLPZPmnJDGEYZ1162aod3r5fs0B7vsenh8cGB8LDvYmw51xNMRNwCh0NSBGQL5WsFkF/aiLUgK5LAeZuvJYueybcgAvwJ1JFZeK9xN6WvCejzX58BebDFUWSJayldJKlWxudjmwrLC3rDopo3Jk1XCaEtArYBYZVJ9eqKxpETpUVzKXuMdZQJcnfooufJE7KDjgFyyuhbHFSYac1YVLBtkxb4YgMbzxpT12H/V4z0dbdGMsk1dAbnJNbpAkkF89AmnwTKbPrfZW7n2ZzTKs6PAM7Oa8AeXo1bKoUbEY08JOkw1rY3hh42At9A8MBsVSgXlE1JrYQvvMrZ9vteofGBubQoikVAtS0tVyxLtWWfNCueKvrK9LiZmyFpfazRd074lqllKWwC0relvnmluplE4kePfHm/z3d49zbsF3TF0GeQZ0C+5ixuDInEEH7FXgLrE64ql2fIFtuwmEeGpwZ6g2o49XOSnCyZiRhVspqgoLXS5W++KVHs6SFk/tvTFOl6eKDdOa//IjbX74tR1aYWJNapOWdHha0eTGGOuVG+eVG6vLY6fF40yXm0ybi4qXnZZez96reOSGkra3WyX2MIIoTlm/bpZ6Y+wDH/joXZ/fuWPLaga3RydAebVPD+PgNcaE10iRlnonS1KjUo9SvFbV42UnZeT/l33vnNV1Sa4UelvmbJ46qZLk0kTWDB//dIO3vmuMM0uedUzkCHMLuaYtWJTEViscCy1Yqj3JWLsE7ErWsirEV7/2tYC8nNXM6NwU+tyReqmTxRR1K3kQWi2rlY7FpTH5vTHS6WJbs6G1IRWWxQW2E33jZMp/+dEVFlYkH7i5BTVKjor7YhpHuXZfay2IHDNrKfAweNlvNa4KVxincoomhdEcgzbFVVJmeptqnJe5MNLVlTfrPs2aeHis1fh0t9ev7FpZfrJ++7ex57Fb74zj4f1SSoQYnS2ydqvYKuekwvi6xO7ZaxlYS0ydF1BlZa4ZuFNEqa5byhQpUlSoOXDC429vbnJ6LiuikiVgZ0C3GUuvxNyrWLvE0uK8W7GAFhQBZfkkEGUa/2fcVvnf5dfL7F7u9NFll6XE7lqWlvmQRR9nLl1Kq0bkWU6F0YokkmycSXnzt/bYuTWCyLF4luk0Jacl3zTaQOxclijLfDr2jk2W+bQuSWIKxyXPdGZZ0DVYOzUi/9mk9DN2vU7FcDC8/6Of+PydP/Z9L6vsU290J8/MbkYIydJ8lyQeuF5BXfGwGdHlZGdgxuJZdF6Kgqssnjkn5EwuRCmwzDS3KCV0MmCLFBVoDp7y+K/vnOBLD9QgHGHuyubmCwprC5ZrTsotdfk9q9l8NMFQCSwrlVerbyL/x96X60sy8I4ivAB6qZLQ/Z+MAY2mNF2KIogssXfZdRFG2oWkhEBj61ZsY4NBjLgrYNADw0ueNeC3frrNr79znEOnAgjc59TOhJarv69BkjqCTw2uTt3ucy1s/bhEuOCwlFDLAkrK+7uUXCy9LrLAVRokhrBWZ8eF21xSq3pbBfANO16FFCrq99vo9mI+8y8HpztQ+QcYeV5NDK1lGVYDzSJF74JJUbIE1wK4rzky5/Hf/mycD9/SIBKqYG9ZBXbmcmSSxHPSI2NvBZVm3mxmy5pFVaNAL91X9fcai51S/b95BWEF0KUy2TKL5wkfkf+fvBmCTHuXW92KCbXCyDywNI65RdaDqw1COLminIWIckC3XUE1L+VN39In1fDrfzLO0XOhdVayW+6qZJs9OYyxU21j4fS0AB+BxpCa0mK1phjQmSueLNh0e3StkgeBIRXgGQv0nds38iPf+/IoTlLe/l+fBuBBbZaw1vrFyZkdl4v44IukWHYTiwrgnu9WTecb66aI1QAv626RXx0KW1BktmAJ4EqkKE9zdM7jl/9onI98oUEk3RJs52Hu3BbM5Mkqe3CNNrTRum+qGyXglrfiOJiCqv8XbsVBLdmEuTAv3JJR4Bdp/NFMp2DUOxdG5A6KcW1uAvscmbG58z2EIknA91K+5xV9PAW/8o4Jjs4FVdTYM6m0KfdFbBSTuPMgxYLcgwrQMyswIxhKbWhlMigIpAC+SDTrp1pcfumOL+/aufUX2yudVft1FcBr9THmjn18pV4P95qx9Pk6GSqQeflstgryyN/OP0DFIsye55KlSPIIUSRyymyesbYoJ3ZEilAppxY9/sufjPORWxpE2ZyFNYFtwV0OLL0SqIvCsCwIPg9rU2LhMhuXnO4y8O13lf8sCV5ha9YAMqP3q7vuK/NUcOvkZJZgCfgZ2MkYPkvnO8mCUXYQpzSkqcEj5Y3fTxt6fwAAJ4BJREFU0idJ4Zf+aJLTiz5518NTfiN7FdVG5OXmqbDDhpSwQJfu5C7aAEXhso7gvLwPNKBTSTMN0rDe2Pvnf3vLyk/+wMufHuDZLU0WfjoV6Q2NsH+tNl7eIWIjd5HbV6O33C+veOJZgZXOZYsU2eOyNLHPR5lbKk3iC971iSYf/pxjbjEK7pIGx67Y7JVGH0s3kalSVMXTdMfLAtCMgH9Uq4jKk/NMlD0fFErMPAr4CvgpZTcrjF2SLSNDg0TJLy+zuBHZ69KSsM5rGfPjKLRyrWAGD82bXtFn72Gft71njAQoJnOeD9yuVAKLlRScHrfveqZg7ty1Kv9KUewXjXVYUmM7SVNtCEiZWWcenVtq//Ts5MSan2RNgM9e8B187JPvSJW80ly39Ti+p9HaI9XS7ZASwEtAL+vyahazyuBFkFkOLrUDd2YTWs0tlQZP8Pk7a3zw8w2G+UShtZg7e2x3XCWpU9LeBbBHg8k15Mkom5f2/WhNyj/nthZEqoNsROlJIVsyZVCVKw7IlIEtihR+ySsX2l5pNAbBaOAJWitnDdr9YrQhwPDdL+9x326Pz93VsGFBJdDMPmsGbvfhRJ5hyGWLwMoWmQHeFKW05ZxSluBKcUGrizlIE8YbET/3XetMLTyZvvqVb/zaAQ5w4/WvAbofrHcfvsTEJ5q2XsDaStIxuUa44MeUKp3d+VpxU1Zv5YCyDHJKAabyNMKDT36lxi++Y5wnDwd25JQ4j+7Gglu4qbA+I5WCozKlBPhsx67J6IxsOVGXGLt0MlROgq8R3BUrcK3XTfkyLUb+j8mBYBnalbKukiUFi+ds7rKdGOmW2jZoN6tQYNDSShjwkCblqp0x//M/tvkFBTd/peFIuvQtjXSBZ+Ub2C1byMdJ3VQ44FIcA0r32XdOc4vU7QidIHTMunXrulde8aoPTozVgP+w5j6WnOe2ceOFZtq/8x218avnPRXli6R6uU9dLoDSjPZLVt4fAbESaaG1ZZnB0yKgVBbcH7+9zi//sQN3MArukvctVI7GwvNePRlWnBfohorOzo+ZqMqSPFVM5b58+5rJ3Jz/5RzIuUwZkSNl3OhypjPzwclT/eWM5lp9nXZB19LIify9zC9X7nWFjgRX7Ih528+2+fYX9IrWHaNd9WG5GnG0MtH93MgZq3XZF7dZ0Lj0msnOXp26bqOYIBnyghsumX/vJx99x6YNO84b0p+XwQG8xvWYdIG08yWUXiHR0i4aq+3lR2Q7ykmVqi+e+eXlDKauSpPsca67UysllAYPPv6VOr/6J+M8fiBwLWejgFZVcLvBoT7V8Q8V7c0azLxWkDnyegbcNeT36uTl16JZzHl+pAxcCpYugD4SYJZ+ZjTQXNtZcSyuM1lSbl7GBZpWl+fyBJtQsTeJiFKuujDmv/9MG2PgU19puLecPMlrV6r2YXXLrpluZ2c1ONmuq1wEDJV2ukQzMTXGS559KRtnJ3jrU+xm+RTvIYILh8b4Pxmxq3tuKcJTEb4X58CkJDdGEzZCFLUp5TJXmfnc5XS8KHxu4TT3zXfW+ZU/GufxQw7cmWOSjRwTq58LMdodXx08JETW0HC+AfZrS5Ps9YqbUganWI3VrznILDNyGcCVHykNoSwHlowwcpGNWNs61KPMPVJDXh43kcVbLttpkI7pXdYzgqsvjHnbv2/zrc/rOYbWI4xdel7e9Cirr7ETyuDG/Z40Qpo+6yZWeNYzLugq5f/klRdtHT7V7n1KBj8zv6xnpq6698n5WvsXfutk86fecJbvelFMlARuN4o8NVEc0HK9SmEHlh9X9HcuYVKkspmvz9xd4xf+cJwnR8FdcklG/W4cU+dLjuBAzgh7U2VoeR4m//+39+VRdhT3uV9VL3ebfTSSkDRaR7tZjAxCBGEgEl4R8EKMc4xxHg72CTY2sR0czElM4sTYkDxjO+DHy8MLmPMOARM2E4wMKGyyEcYsAsRIAo0WtIxm18zcuX276v3RXV2/qu47WpAQENc5V7rdXd13bt+vvv7q+/2qKgVqwAjPG9Il2WlN8lMjdE8I2VIpJnWlpAg5Tlk8aSRGpiG0iwJGttVQMd3ZBIvSbiWZ1FOBHtJJmFxAJpPjAwAqIRbPDHD9lwYhJcPqtXmEiaEdf2nJLDZXL54wt3GzZY1HmwRQreKCM/rxlU9WMG3+6YMs17FutNInME4Zl8FDPg2u27J305v+BdM7VgQPPFWHSlXlLUS6Tf/INIhDRuQkXrd+mdHKeDsG96PP5vCV/9WAV7tqgDtTf2vXJAG2zd4JoK0BxCBuigX+BMQU7CD/U2yDmXXMgwdealmG0PuT99KCjSFTGGF5GCxuTAGXCgzFjB1rcMX6SRaidJJFrxSTL5oR4Ht/NYAzTirDSbQ41dxxqEftQxazq3q0+ROYchdwXaxcEuDYBSuDtnpxwZQJjXunTpo47u0cF+BTJ7hY/+pWLD9h5o6LPrLg9eXHT0b/UAMqFR+hcJKbB2QzNFPWH9fbSdg9jlRG4JYQDsPqZ3K4/PpGdHb5UfidUzliSxPN3gxp9qZ2YCpqaett0vlMaXAFaBvclNXZweM4E9cWgEHfyxrApgAFlR66syniY9pH1/WNlFpJ0myltoQjoMeAViAn0zXLCsO86QH+9WsD+OOTx+AIAnJQuaJeGcCWVp0k0sPAOIPrusj7BWzY1oHe8imv+8X37RgZ2ArGCocOcADwXI589b+6lswLL/3w8iXo7S+hXMnFDK7+Bs2AWosTfW6M0iGShAlwX0K4DI+sy+OKf2lE5zYf0lfgZtngZhT8SEbpuLDsQG6DOmZ0pPelbL4MHW7vs1k93ds8SIRnAD6ZBJ4wsXJLkmCPOieL1VWsIqmrtDgFOzeAr1Zxi+pxg9VBGoYkjQAVYF57gBu+MoAzTyqDhyJKIVTgFVksLqDZXIGbaC6FQQY0uRJtOQl4J+PpF/ml3//Jk10R0Y1f3P1VWDCvHZWxEXh+YefOLveJgZ6XlwfVPfA9tXqWDuRwrp0T6pZoZtdheMYEuM+wtdfF2t/7uObmenR2xeAe1y2Jj8UoUtIkArc17TFtfFanko8D1mg/SwHXdEmysKyCHGnnZTxMZ8pOq79F/CnEqUmJGk8AzPT1lMWotbd6H90PW8IIwcF4NK8hh9n5ZAmoOUIRf0Ols0XENVJIsKrEghkBfvDVQXzzZonfPp/D1h43ykKUiAZxMqS+UfQHgXRBOPSindGcLi5CzDymHh9cOv+Jcz586s7hkVGUSsX9Any/DA4Afq6I7h1rN/n5+h+0TloEh5W1J87DZGxlFri19layJAZ7jqFzh4t/uLEeX7quEa9tHQ/c2VKFqY5lCtxk7kOYwZxUZmCWZWgDHtFYQg1WlnJSjIZigP/A6ZxKEICZZGa8Nz1xU0dnz4glEtZnxnbaRiTSRZpOipYwPB6xT/LJpRMxfgWYPz3AD68cwN9+cRBzpwZRgri0XRXF6InRTf5XayhG1mAQSgyNhVi6ZBGam+p/8OCvn9lUdwDgBg6AwVVpaJ4O7jWv852ee0L/1fN8+TwkVPg+/imNaKWw3JIwjlQCPA9s2uHiH/53A36xuoByGC+KY9t/ZozRBDg0exuRSkhLf1theQPE48gTC/Cx0W8cS4BuQ1oam+PCXLG3isgnLIz0//aLXlkqJlfHE/fEWmCWjuWMJ/NJpoBTbC1ZbAuK6D1j2mbksV8ORCOEEOW1CBnJBS5CsKrEpJYQF310FDkP+Psb67F5hwfkVMySFJu1pfqfxUCvQFQEjjtpPt7//gX3nLB4zrpdPYMHTBoHxOAAkC9NgyN2dtVPOOPLveWG+6+/qxnPvlaF62iXxrQGdfQyATcHuM+weYeHa37UgF/8uoAyaoDbZnJO2DwGngsdsVQDFbL8bYYao3Zgsi6VJ7ZNkloPnVax0fsWNXgqXE+imZTRKUvT7EMQ6aE98TRTqwWoqGcu7Jdan1Pqjqieg8VJdHh0rmZyUQZyUuCCFaP45mVDmD0tIJrceiVDJCwDVYRYOq8X37q0FyfOw/0fXbH0y51v9nfNnXXMAd/WA2ZwAHDyHXjkySe2FvIfX7+2s3DOzLbH8f658VQFsWYyck+47kyCAzzHsGWXi2/eVI+7VhcwBk6GmqkEHQajM6l8bivy5SS2oJpr3NLeKjsNgB4fajKy7ZwkWjvDbcnU4sn7/dkoh4B44pqAkQzCDIangR/doVSDHtQ1dIfUHJFvzpKlmVoa7M0oq4MnTwYRRy6jqflEtA1E43oCiYIr8ImVowAD/vaH9eja5eqRQcb9iScZT7RhtKzMxCaOSz42G+Xc6et7t6/ZumTBmQd1Gw8K4ADAvTkoNB7z3U+u2Dl7dvOeCwf2bUXeD+C5FYCwdxKhjMFdkRzPveDjR3cVcefqAiosnm0+AbdyTRy9DW6BPQISlSZ6dI4ZhreZvNYMVQk+a1mEFj5ZxrAeQ84w64T9gDjGpAZrHOygkoV64IAZ5InDbBq4TOt0GiWNOqEx6I3MQkTgZQT4TDkkImb6aMJBDhEPCo6YHEJEcyOCAYIny5fIBK4hZFXCdwUuXDECCImb7irh9xt8jBnD3hSoiTXouCh6AMdcbO09/o5Tli/7LsS2g4XrgUsUVc5cOgWV7l8PdMyce8nElvyT1WpO24WcdiwjcDMXGAXDT39ZxHlfa8Idq9VIHG6CmQJZedycAFu5E9BZxmoOPAc2kIltaQ2zS2UHpjqLJoCzAE/Pz8LyISmU7NBmss+0AmUC6pQ0UR1UWN56qiOKGv8zwvRW3bizoBO0SCifhPOT7VjCiCrgCYkLV4zivn/uw2c+PoISj+eHyErEQtRA63IOgmrdk21t8y558D8fHmDO9CMPcABYeupKHD9/ZGRKx/mVXKEejhPoDEOuMwW5DwwLhp/eW8JVP6pH94CLIPGwHQ3cRHvTbSVHFOA1eydD0ICUW6IHDptMbTK4zNThvAagKVWz9K7Do8GTzpbpYafSMuLKVIcn56Uil1kgJ/VAHRY7fyX7JYjmNn10up+CPAZ9CLhSoq0hxLV/OYiLVw2j5IRAxXZYIudEVgM0NTfgC5d8rLJptzvysY9+6FCgevASRZVCw3xAimfYhKXLMLKlkHPLkDL2ut0or2Tjbhf3rSng2lvq0T+kWJvB1NYOATOVIpZ0gU6jNzqUyNDeWXLDkiVZjomNt9R1DPAyA+R2cpXZQPZTarB2Yg1SmaI0CIPJ0nF+iZI3yWgr2glVsidxVqJp1nSH1dLijEqW+LMhtasS35VIi8ezaoGDx+mEkUyJOuc8/gJCSrTUh/jW54eQ9yTuX1PApt0eoObIYhKohmgsAeevOG70pONnP+PwQ+LhBDOHVDy/EY7jXO02ffSG57bMLvfuG4XjVCNwe8DTr+TwxX9qwtU31aNnOFkb3Ow8gkqUWn63RpEx1VoCbCsF1mBrK3IJABl2oZYvLAVWo5MJlgK8Tq/Sw9QoXmleuYFfGpZXQLQAbx4nEcsE1IxYg0xfl8gVae9TdVWryZAh47E4QPW7kiUskSuKvRMGFywK88dZiFIyiCrQUgrx7cuG8MOr+7F08ViUAB5GIf7m/CA+/ydN5S996rQbfM+5urW5/u0HOABwt0E8tq7326PeRb07B46NnAwXeOqlHL7+wwY8/JsCxoJ4GjVq86WsQBvQBiQjcIMmUklk5pVAZlqEdjAn1eGE/jgjbZZgM4ul07hlmU+DAymGxoYFdttCtLZp1JJKGwpaYeyLTblaehvZGj01YAKWxJEsAbkeMEGtRA4h3HjaOIacK/ChpWVcd/kAlh1bBqoSLGD44z+aXvmL81uvO6bh/13T1FA3brbg/sr+g/n7KT//yY2yfcrEN2X51fWDg7uX3/gLh/3L7Y1Y90o+mkrNiVHP7RwSu4NJwJ1yVmBO/8DMKSDsietpzrda59KY2J6oIPNYxMJGGky8L3mfnKMyKVlcnyXHGWf6vHg/N7athpl0iK0nUa1+BDkvXUddX0JNx5CSafFnIZVZKTOvn+psk9af3dm2B13HtZTHqegoGqGIGZOrOHFBgIb6AD3DLWLxgkXXTJ02//rVv2FjD9x9z1vC56GQTaps3fQzTGzJL37wie0vfPrK3zjDI4jns6MAVuClHgRBUuJ/W+fEN9dj0exUdC35aK4TPSzNmPckninWAL+qazUGJwasAXYC5GTbqKPAzuK1NaOst+h6+j2PAe6o7WS/9Vmc/K1ce/sOl8bfrxqvo+oldck+pqbJs9c8AllvlL4EOUevsqEHpZjrKDncSsXgNMBHc5Pi5wYZmwsmyVI22lJ2chJ9/RyPbbgwfHNwwfF5d/jlS//sE28Zm29JoqgyIhci13z8xsA75bKLP3mWmNouYo/XAbgXvazFVw0aNcBNdEJcknwTZITfAYMFGWGmLCmSlXdiN3dTd1t/DjlgyBGrs3qoMsUOxeuIZHxVagMqDU3Pp964RLa2JpFNW4cLoYcgUua1BzAnXjssjU4yDvUst0qeqNUlXIRh9Ip0OdC13UfVPVesPPW4yxbPP2HjBz8w43BA8/AAfMHck/HIOreylp96yzcuGvjqZ88pRXYP8wHumyBPckxsK5CZ74ktaKyXQ4ClH9nEJoQJYKg6xF0xAEke3SDnRMfJeo1GdxLZSK6F6rfynLT1trVTa3eVm48YkDIJ09OKhm0INeBBn0c7kTR8b3yJpGFpLa4/lwAdZo55pNGj5VOqwkUQehDSRVAVeGz9TNxwd9NX6yesuOW0Rb2VeXOXvoWbpssh24R2WXFyB2S4OQT/882rPvzE0CPPrK5/aj2AQhyXlTTfIC5JxBKWY6JvpgIyTb1SHcoUSGFuJ5dSbSe+oM3QdhAoE5BEc2qHkNl/rlWXGeckOJB62+hMMmgUM6SY2Qi5S71+vCTnGvYeTbRixHlhSEL/SCxAadSh14iyWZWLguRz1dA3pkBO74PUX4neBLMzGpHStp5pmDbjT4aWLFux+fev7ghPXHTs4YLl4QM4AIDXY80z4f3zZ634wnnnNN6wfXBNy869Qwi5Ey+vrDrETCPP/p8GVZgJbECzdu01LGUm6KlcAXmfNVInS/YwlU2I9DUSKMeAOZQia+yUDMnyHjo3hZxEclUk3W83qMQdkfHsUqQBJACGFbI30wKMz2UMKp5KG5j+8ewvFe2QAELBEVQ9VKsMgZiI6R0f753b/MErXGfP/a9vbzuskDysAGcsGh+3e+/gbZ/70+VuwWHfvfUXa9o2bBvEUEVAOiG0DOHZ4LZYIHEtrHkFo89La+lsnS2NS6f8b9qo6O9hfrvEKzeOk3pprb6fkjAyoHL+jeANS9eXdj2QJ4LUQLcDQCS4H12K7KcMDhUwAvkjWAxOyuBSku/LjEYlaWuIg0+qA+owAd8FRstFjFYno3XS2d35ppVfl2HlNubOPZxwBHC4GTwukyY0oKd38CefOncZHxvcc+0TzzzZVpF78dhLHkaDAvR68VndstrI0KCV2eC2pEhWpzHF2OR9ZsOpIVuYvcuSO6n9GUXah5Mdmv4SIMbRy6RFUNZMgV5LGIVgzc42U6tLshjcMhn9QyWQki2UxKO/L3rEmF+TmSCP6zmOQBAGeOy5EiqjDVi48JTuWRPPukqI4Cd+rumwYM8uh6WTmVVaWxrwxOP/dcvcGQ1XfvVTk3r/6bO9aC6WY0Yg0z8knc0DK6lkKVCgSwP0aZlR4z0z6yUfpH+vmhrdBnNMpNnHxysy471MV0nllYC4IUml+JMlZXkanKEdS/0+7biQawEJgx/I96LJWKFwEIpoBNbgcIhv3NyC1S/M7+3d13Ll2qefusXPNR7w73+w5YgBHABWrfoYTlrYe+v09smXr9++cGho2AUcH9xx4ToM3GHpOyVl5rUM8CEbvNRhVPuTbExyot3xsWVJip2RPj81KMKochBaRRr/ZYvxTMAzq4q2E02nBIaVSK+hR9vT3BLScEDdFPXzWFxNpsm2F5AXkiMMHVRDF9WqhyDwUfCBz547aaht4jGX/2rdvltPP+PDOJLlLUcy91da56+Uu/r5Ky92NW8aCZvP2duzz23KceR5BISqVF2P+C4StDESuKH53yqSaQZLyJhMTjqiXGZGMnWgR0cvU/vUfhLg0ZFNlvQJouNqW0cxeSqiqf9X54K8t6OGesHdGk+jjKePjmSqfSzjPBLtBFJSTC/Yq+WgPRuvnstRjcPV+yLlxBDKCNxB1UM1dBGKEKWG+eUFcydfsqCD3bl0Ua/4wb8+/O4G+CMPPojJJ3xasoapG1oLziuT651Vo329bs7l8bLQLFpbRSgbUd9xBjMcb66OpkGdFY6vFaZPv9eRRRqSTxoJCdEnKxFYQDeAy1lSj4K9FsDHBS19IjFmhuo5BWMtENt9FWY1IpWoVgPwCryI7rXu/5BB3UxHTpP1lWLpL4SDStVDuZzD8IgLt7Cg7BXaL5o0ue0/iiwIJ8+64kjD78hKFFX+7e8uRHPQF7YvOvnupQsnX3zq+9tHCm4VDmQ0M2lQBsJyPHOoTnyX0HNEAxm6GfqHytTV6iRyMqMXsrtGlg6np2ZKB2ZdytZQ4xRZa7+tp8kJZicy+hAz55uOw5QkIolEfwvA0OmJFAHR6STTEFS3p76/CsGTkLsTwnMD5P0KPLeKMOQYHnUg3AUjFdlxcevMjrt3bGdh3ZQvHhGs2eWIM7gqjz98F847axnufeKNVz7wvvY3XIetGBsbyLc29qHg7sPwsNARMxK2Z4wOLiY5GyzNypqBSe7GePKEsreVYEXr0oQq+n/C0iTnRLO4ZnCD8W3JYDfWZJvVZnXotsSztu3zUtdihI3He4JoBteLdellaOiETmpJSdepgvMKduwNsXWPi5HRRuRKHQOlhqmfLzov3rF920R0HHfR2wW7tw/gAPDQg3fjs//zM5gzbcL6tgmtb646veX0y8/dWvzIyduwbgPH7h5PZx7FQGcw17g0QM4zkqMO4D0FMqOgV5IlE9xUr2uda4M5LUeyJUqmFNnffmQ0CIxzLLMeyzyWSBcQLU20N5UiNOGK03nhnSp8L8D6LcDF/zgJv3p+IY5bfFrPzKnTr6hUm28XrIBFSz79dkLuyPjg45VrrvxzAEAw1n8r4567r7v5O83NP2ubPWUIL25qQAgZSZTYjJWMJbGGRIJA3fRseWKnldoxpOSHzgAJrUtVjB3gYepCpJ6tUpCxTYsK8Ogd0XWM0DpDEslU3Tdaz/DCiTyhUc6k806DR1TasHjtHCMVQEc0QS1G47uRFTwQaW9wic6tDkZHpuEv/2xl98ozl/3NWBDc2jGp+e2GGoC3SYNnFS/XBMeVP248ZuVV3WOf6N7aMx1CcB2PJhMw6jkQ04/qrIEPhmimYIUJ6Cynj1kbGrRmQzLPZamTGcZBNi2WTSgzjqf8b3JPNPCYvkCix9MaPRkYQe0+lWRlWY1K4wvQ6+kWQp0WHq/jU60AJyxowt99/czui85fflWVOT+efJTADRwFBqeFsTq8vHnfLYH7keoFq9q+N1R+rPm1rm1RXpbDATWzktShZvUItYepGR1MO+BDH/dACo9ZnUtmoZjRk+2+pAV2BvNzxis01J6KbMZszGjlhNl1dJOOudQhfjMN0RivqZKpFKAZTcrSvrcQEowrYEujUWiNTiZT5QIVdKBj/qq+hSef+tdgwz9jrPVoQuzoAhwAFs+pw1gQ3jZ5wtLejVt2zFmyaPJ1t9+71kvW45HRAnOKrVUHM/Fike5gpkBPPs+QJyAHyUZW9FPlWqUaAbMucYiFZcoNrTASU0PJGqNRqOw+pWdsmRNPhM+Q1Ek/FUj+uArPg8UrELNkqXCp1uMGkMxchhAOH4PXuDKQQdOVKK7YHIq6X7ruUYfX0Qc4AOQ8Rzz69Av3f/NzZ/uPrusc8XKFm/5j9fNsYHCYwy9AOn6S7+2QgE6mn0wYjxF0GxJGlaztLLSyLHBnw/pg2JsWim8jcY+koIAwtzHS3mBumC2DKpckDRYkQ5HFxwmLJ8weTV3CwMC4XsMnmvxHwnOryPllhKJesLqzJc8f+8XShON/irHOCnNPfrthlFneEQAHgLNOPR6/eurlyvw57bf1jvA1Bbf/T3fu2vKPj64bQDlshuczeFwPSzMilzXcB1O26EKBr7aNPmT8D3Uekn020JPz6eNbPSEODOUJuCVSjK3YOd3hRAJuuk+mGoGZ+WdnEUKlu8IK94t4JWIe5W6rlaWioWgOeE5i3+gotvXPQmPj7G+1FxffLtzZ26vDuype3TsD3MA7COAA8KE/WgwAo//39ps7r/6LBd/58T2OPypGrn7+1R7HlxX4PF74gVmyBGROlPhaBouT9wqI6eN6PvBUR9J2SJhersR8QmT0Wo1P00Wxr7q2AfL4FEOmwJIdNpBVvoglX4xBEiAprpYEYkw3JDXLZLQ+ptL5PMkllxAIwiLyDdNGmv3/MZKr/+Cm7mB046SGQ5/e4UiVt9UHP9By390PYOK8M+XVl39hzaMP3JGr83DyQH+fK6tjAAQZwGuyd3otzPi9UY962PQ4I943dK4JCefrAI85ot7e1l6zCsszInPMoEtmjnuqs2s9icg5mcuuWC96j5KnkHFtln5P+iSqY1oNGYRw4fqtqGs7c6yl/TPf29398qr6luPWc+6L6679+6MNnVR5K/2iI1729g5CihCMsWtfePn1Zbfcdj/vHyov276z1835UUYioB/tyWxXPA12/WNnJVeRhCoCeB3lVDkoGrA0OqmDQ4x8hu6wcmYFhjA+EO08muS7GX+zHmGvGzsdWY84AEPPjROn4rwSFbShI/HVtRnTrgljITgCOH5bFby4dvbCVaK+Zc5aKXGV4zB4/pFLd32r5R0NcFpuvOVe5HNufU/f8P954ZWuT+zc+SYfK48CzEEooq/hKI3O07pcMx0zgJMka8UgdqykKk7ATcGeTryiCVbmk4JGD3mcIlir32A3Sv30kVbUVgPbIcCMorxSNwB6jFHfWtl8SEDuqFc853sYclSqAvl8Di0tE0Whfva/O17D56QIhmYsOP9oQ+KAyrsG4ADw3Po3UCrmJ7y+5c0vP/n0s+8b2Tdw3lO/24ThiouCx+F7Er6jAU61s34xg9112i1Ls7clTxzK2twEtJI4WoLUyj1hmaAGTFDbsitiVZ2moNKA9fwoFoMbYAdhagJsRO+BuNPuCPiuhO9V4fAAfYMcbnERWprr72mfdcL6usap368Go3uLDYd/aNmRKu8qgKuyZctWlEqlGZs3b7zhl092nvfvD62HHBlAaz1HMcfhOOkvpn/QNIOnJ+TRYDYnADLzUrgB1vS2oXnJ56ecnhp62WZxG+QGsJ3xAW4zeDqFQMJ1JHJegFJ+GK0tHkb5UlTdJffMmTPvitHRfV0T2qYe7Z/+oMu7EuAAMDrch3zO63ho7ebjdnUPffmVl147fcOrGzA2Ooic7yKUDCKUhq+sQcOSiW5tgDu8hjwxErFMTZ7Ygom+TrM3MgAOEJArKYIDBHiGTFHgdlIAp3rdBLeUQCgYwpABMkBzcxHt02dj8tTZj49V674/Io9/kaOyacoxLUf7Jz+k8o6yCQ+mFErNALBJSrkJwPo7WHDMWcvm3/zqa50dz/7uRad/sBKvOh13REEcNKY7pplFAQ2Uae2RPInvoYELC9zkenaxI5LKtqN1Jakb5cYzcGXlSe2R6/wSdR4jZ8ffh7B21OB0yDSsAqOVHKbPOjFsn9GxyXdGP19sPWtnEehsYe9aDqx169+dZc/eHoRhOKNry7ap3HHvuvPeNQ0bN28vDQztg5pfmgHxo5wlszkrDa6sR8cxGdyh7M3TtiC1Aakmp3ac6aezlK/OMpgblMGpHicdR8fRcxfqDna87Qiyn7B6sgpelC3o50oo1rcPT5l1xmAQVC9omzRtB+dOV139u5Ox7fKeATiAeKoC8IHBfY0vvbzplFCIf/v9i53V51/sbNm5p6c+rIZgkHAdwHW5AW6Hx+An8sMxAM/0KwPcke02PrjjI8mdT0Btbdcar5l0ihMpAjgOkSZMb0cDEKhtGMJ1o+/OuINCsXWopW1eb8vEeS4Yv7Sxdc5v8vm6ASEhHP7egcV755uQsqVrB1zP5b19g/nzP3Xl2D23X/+1hx797adfevn1YGRkeAFkNT86Mhx3Ihk8l8FzmMnejEUM6SgWZ8jyvxULHxS4yd0fj8lZTQaPx6Y6EaDdDNC7XMB1o5lipZQoFgso5Hk5XyhsaGye402eccptj97z1/985rnX5XK5hrKQVVHfOOVo/3SHvbwnAU7Lhs4t8DyX3fefTyLne05TY+mmylh5XuemN057fcsuZ2ysHI1OkVV4ngPX4TFzsojpHQbX4eBOhi1o2X62Y6LuMAW2JMntRiNA2tqsKVMYwB3AcyRcF3AdmQRvooX9QhQKDooFhnzOh188Jmxtm/FkqZjrrAb7LhNhEE6dtRxCVGVjy4yj/RMd0fKeB7hd+nr7USjkmnfs3Pvtn9/5sP/Glq5wQnPhRN/Fkt6eHvQN7IMUQM534fkcOY/D9xzC0DQaqllb/atyYxLAk7ucjJKJ/5Zaupz26+yhdmqf40TA9r3Iu2asijAEXK8OLS0tyOfk73x333NtE9ud9o6zK/nihG+E1bG+uvp3btTxSJT/dgC3y0MPrwFjOL0aBGePjg5f0DcwMn9waASvdW6EywSAAK4jIxbnKjedJdIlGhCgM/J4itU1kIUAQiHjFFSYnU+mbUhAzybAGeDGwSswIAgEgiCE6wB1RQdNDT7qShxTps0BdwoAL75WV1e6K5fzHpZSPr74uOVH+xYf1fLfHuCq9Pb2gQEfGqsEc3Z394qf/fxO0T61bda0KW1/s3fPm8j5HrZu34Vde3rAGZDzHdSVfHguQ3kMCKohOGPw3EjOJFYktG6uhkClIlENBVjs0NCiwMw5EAQS5UqUWOa5IXJe1AjyxSaU6ieAQ2DmzKkIyr3fCSs9byw97TxeKDVzxtzNAH7V0Nh8tG/pO6L8AeA1yt7ubvi+37R79+7TN23cgJzvBIHw/6paDVdG2lii6/UXUfT7sG+kgs4uH/UlFw4XgIhWfS5XAEgg7zOUChKVqsCb3SGCQKKYd5HLRWNQy5UQjDGUCnnU1/loKAq8siPE8FAVs6c14dRTTkQ+54BzQAi+urt3+HsOk96iRQsxadLkxyuVSn9L64SjfcvekeVdG+g50mVCWxsA9AO4DwC279gJABukEJMAKcKwir7uzajL9cN1BCRcCCGCDyw58ZpqZd/HpQiCgWEJIRhKBYbWRolQVuBvlghDjuYGF6W8Aykl+gcD5PO+19zc+MDGDS9cUyq63mgIlAOBQqGEefMWIpfzwDi4w53dC4E3WlonHe1b9K4of2Dww1ieXfdbMIZJg/17GoUYk/1Dke4uFTgmNAmAVfDCRgkROmhtdFEqcAgh0TtQRbGYY+3TpgxIKXcvXXp4lu/4QwH+P4ms+A85TYHiAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjQxOjI4KzAwOjAwjU2TEQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzo0MToyOCswMDowMPwQK60AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 146544000
{'hecke_orbit_code': 13515128225925272, 'n': 1, 'trace_an': 8}
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id: 146544001
{'hecke_orbit_code': 13515128225925272, 'n': 2, 'trace_an': 2}
-
id: 146544002
{'hecke_orbit_code': 13515128225925272, 'n': 3, 'trace_an': -2}
-
id: 146544003
{'hecke_orbit_code': 13515128225925272, 'n': 4, 'trace_an': -2}
-
id: 146544004
{'hecke_orbit_code': 13515128225925272, 'n': 5, 'trace_an': 0}
-
id: 146544005
{'hecke_orbit_code': 13515128225925272, 'n': 6, 'trace_an': -3}
-
id: 146544006
{'hecke_orbit_code': 13515128225925272, 'n': 7, 'trace_an': 0}
-
id: 146544007
{'hecke_orbit_code': 13515128225925272, 'n': 8, 'trace_an': 2}
-
id: 146544008
{'hecke_orbit_code': 13515128225925272, 'n': 9, 'trace_an': 0}
-
id: 146544009
{'hecke_orbit_code': 13515128225925272, 'n': 10, 'trace_an': 0}
-
id: 146544010
{'hecke_orbit_code': 13515128225925272, 'n': 11, 'trace_an': 1}
-
id: 146544011
{'hecke_orbit_code': 13515128225925272, 'n': 12, 'trace_an': -2}
-
id: 146544012
{'hecke_orbit_code': 13515128225925272, 'n': 13, 'trace_an': 0}
-
id: 146544013
{'hecke_orbit_code': 13515128225925272, 'n': 14, 'trace_an': 0}
-
id: 146544014
{'hecke_orbit_code': 13515128225925272, 'n': 15, 'trace_an': 0}
-
id: 146544015
{'hecke_orbit_code': 13515128225925272, 'n': 16, 'trace_an': -2}
-
id: 146544016
{'hecke_orbit_code': 13515128225925272, 'n': 17, 'trace_an': -2}
-
id: 146544017
{'hecke_orbit_code': 13515128225925272, 'n': 18, 'trace_an': 5}
-
id: 146544018
{'hecke_orbit_code': 13515128225925272, 'n': 19, 'trace_an': -3}
-
id: 146544019
{'hecke_orbit_code': 13515128225925272, 'n': 20, 'trace_an': 0}
-
id: 146544020
{'hecke_orbit_code': 13515128225925272, 'n': 21, 'trace_an': 0}
-
id: 146544021
{'hecke_orbit_code': 13515128225925272, 'n': 22, 'trace_an': -1}
-
id: 146544022
{'hecke_orbit_code': 13515128225925272, 'n': 23, 'trace_an': 0}
-
id: 146544023
{'hecke_orbit_code': 13515128225925272, 'n': 24, 'trace_an': -3}
-
id: 146544024
{'hecke_orbit_code': 13515128225925272, 'n': 25, 'trace_an': 0}
-
id: 146544025
{'hecke_orbit_code': 13515128225925272, 'n': 26, 'trace_an': 0}
-
id: 146544026
{'hecke_orbit_code': 13515128225925272, 'n': 27, 'trace_an': 7}
-
id: 146544027
{'hecke_orbit_code': 13515128225925272, 'n': 28, 'trace_an': 0}
-
id: 146544028
{'hecke_orbit_code': 13515128225925272, 'n': 29, 'trace_an': 0}
-
id: 146544029
{'hecke_orbit_code': 13515128225925272, 'n': 30, 'trace_an': 0}
-
id: 146544030
{'hecke_orbit_code': 13515128225925272, 'n': 31, 'trace_an': 0}
-
id: 146544031
{'hecke_orbit_code': 13515128225925272, 'n': 32, 'trace_an': -8}
-
id: 146544032
{'hecke_orbit_code': 13515128225925272, 'n': 33, 'trace_an': -9}
-
id: 146544033
{'hecke_orbit_code': 13515128225925272, 'n': 34, 'trace_an': 2}
-
id: 146544034
{'hecke_orbit_code': 13515128225925272, 'n': 35, 'trace_an': 0}
-
id: 146544035
{'hecke_orbit_code': 13515128225925272, 'n': 36, 'trace_an': -5}
-
id: 146544036
{'hecke_orbit_code': 13515128225925272, 'n': 37, 'trace_an': 0}
-
id: 146544037
{'hecke_orbit_code': 13515128225925272, 'n': 38, 'trace_an': -2}
-
id: 146544038
{'hecke_orbit_code': 13515128225925272, 'n': 39, 'trace_an': 0}
-
id: 146544039
{'hecke_orbit_code': 13515128225925272, 'n': 40, 'trace_an': 0}
-
id: 146544040
{'hecke_orbit_code': 13515128225925272, 'n': 41, 'trace_an': 2}
-
id: 146544041
{'hecke_orbit_code': 13515128225925272, 'n': 42, 'trace_an': 0}
-
id: 146544042
{'hecke_orbit_code': 13515128225925272, 'n': 43, 'trace_an': 4}
-
id: 146544043
{'hecke_orbit_code': 13515128225925272, 'n': 44, 'trace_an': -4}
-
id: 146544044
{'hecke_orbit_code': 13515128225925272, 'n': 45, 'trace_an': 0}
-
id: 146544045
{'hecke_orbit_code': 13515128225925272, 'n': 46, 'trace_an': 0}
-
id: 146544046
{'hecke_orbit_code': 13515128225925272, 'n': 47, 'trace_an': 0}
-
id: 146544047
{'hecke_orbit_code': 13515128225925272, 'n': 48, 'trace_an': -2}
-
id: 146544048
{'hecke_orbit_code': 13515128225925272, 'n': 49, 'trace_an': -2}
-
id: 146544049
{'hecke_orbit_code': 13515128225925272, 'n': 50, 'trace_an': 0}
-
id: 146544050
{'hecke_orbit_code': 13515128225925272, 'n': 51, 'trace_an': -7}
-
id: 146544051
{'hecke_orbit_code': 13515128225925272, 'n': 52, 'trace_an': 0}
-
id: 146544052
{'hecke_orbit_code': 13515128225925272, 'n': 53, 'trace_an': 0}
-
id: 146544053
{'hecke_orbit_code': 13515128225925272, 'n': 54, 'trace_an': -2}
-
id: 146544054
{'hecke_orbit_code': 13515128225925272, 'n': 55, 'trace_an': 0}
-
id: 146544055
{'hecke_orbit_code': 13515128225925272, 'n': 56, 'trace_an': 0}
-
id: 146544056
{'hecke_orbit_code': 13515128225925272, 'n': 57, 'trace_an': 7}
-
id: 146544057
{'hecke_orbit_code': 13515128225925272, 'n': 58, 'trace_an': 0}
-
id: 146544058
{'hecke_orbit_code': 13515128225925272, 'n': 59, 'trace_an': 6}
-
id: 146544059
{'hecke_orbit_code': 13515128225925272, 'n': 60, 'trace_an': 0}
-
id: 146544060
{'hecke_orbit_code': 13515128225925272, 'n': 61, 'trace_an': 0}
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