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mf_newforms • Show schema
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{'Nk2': 1096, 'analytic_conductor': 0.5469752538457706, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1096, 'char_degree': 32, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 26, 'char_orbit_label': 'z', 'char_order': 68, 'char_parity': -1, 'char_values': [1096, 68, [823, 549, 825], [34, 34, 61]], 'cm_discs': [-8], 'conrey_index': 11, 'dim': 32, 'field_disc': 35190667333271321019306672876612934335729762304, 'field_disc_factorization': [[2, 32], [17, 30]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 68, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1718003696712, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': 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mf_hecke_cc • Show schema
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-0.4411764705882353, -0.375, -0.1323529411764706, -0.3235294117647059, -0.3088235294117647, -0.4852941176470588, -0.25, 0.17647058823529413, -0.11764705882352941, -0.4485294117647059, -0.4338235294117647, -0.27205882352941174, -0.23529411764705882, -0.17647058823529413, -0.04411764705882353, -0.3602941176470588, -0.058823529411764705], 'char_orbit_index': 26, 'conrey_index': 419, 'dual_conrey_index': 531, 'dual_embedding_index': 1, 'dual_embedding_m': 15, 'embedding_index': 1, 'embedding_m': 12, 'embedding_root_imag': 0.8502171357296141, 'embedding_root_real': 0.5264321628773558, 'hecke_orbit': 1, 'hecke_orbit_code': 1718003696712, 'label': '1096.1.z.a.419.1', 'level': 1096, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 1096, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.5469752538457706, 'char_conductor': 1096, 'char_degree': 32, 'char_is_real': False, 'char_orbit_index': 26, 'char_orbit_label': 'z', 'char_order': 68, 'char_parity': -1, 'char_values': [1096, 68, [823, 549, 825], [34, 34, 61]], 'conrey_index': 11, 'cusp_dim': 32, 'dihedral_dim': 32, 'dim': 32, 'eis_dim': 64, 'eis_new_dim': 64, 'hecke_orbit_code': 1718003696712, 'hecke_orbit_dims': [32], 'label': '1096.1.z', 'level': 1096, '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, 137], 'level_radical': 274, 'mf_dim': 96, 'mf_new_dim': 96, 'num_forms': 1, 'prim_orbit_index': 26, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 138, 'trace_bound': 0, 'trace_display': [0, -2, 0, 0], 'traces': [32, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, -32, 0, 0, 0, -2, 0, -2, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2, 0, -4, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 2, 0, 4, 2, 0, 0, 0, 0, 0, 0, -2, -32, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 30, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -34, 0, -2, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 2, 0, 32, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, -2, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 4, 0, 0, 0, 0, -34, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, -4, -2, -4, 0, -2, 0, -2, 0, 0, -2, 0, 6, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 34, -36, -2, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 34, -4, -2, 0, -2, 0, -34, -2, 0, -34, 0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -6, 0, -2, 0, 0, -4, 0, 2, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 2, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 4, -30, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 4, 0, 0, 2, 0, -2, 0, 0, 34, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 34, -4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 2, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 19609569
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 419, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718003696712, 'source_is_minimal': True, 'source_label': '1096.1.z.a.419.1', 'source_level': 1096, 'target_conrey_index': 419, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1718003696712, 'target_is_minimal': True, 'target_label': '1096.1.z.a.419.1', 'target_level': 1096, 'twist_class_label': '1096.1.z.a.419.1', 'twist_class_level': 1096, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 19609570
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 419, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718003696712, 'source_is_minimal': True, 'source_label': '1096.1.z.a.419.1', 'source_level': 1096, 'target_conrey_index': 419, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1718003696712, 'target_is_minimal': True, 'target_label': '1096.1.z.a.419.1', 'target_level': 1096, 'twist_class_label': '1096.1.z.a.419.1', 'twist_class_level': 1096, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 19609571
{'conductor': 137, 'degree': 32, 'order': 68, 'parity': 1, 'source_conrey_index': 419, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718003696712, 'source_is_minimal': True, 'source_label': '1096.1.z.a.419.1', 'source_level': 1096, 'target_conrey_index': 531, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1718003696712, 'target_is_minimal': True, 'target_label': '1096.1.z.a.531.1', 'target_level': 1096, 'twist_class_label': '1096.1.z.a.419.1', 'twist_class_level': 1096, 'twisting_char_label': '137.120', 'twisting_conrey_index': 120, 'weight': 1}
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id: 19609572
{'conductor': 1096, 'degree': 32, 'order': 68, 'parity': -1, 'source_conrey_index': 419, 'source_dim': 32, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1718003696712, 'source_is_minimal': True, 'source_label': '1096.1.z.a.419.1', 'source_level': 1096, 'target_conrey_index': 531, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1718003696712, 'target_is_minimal': True, 'target_label': '1096.1.z.a.531.1', 'target_level': 1096, 'twist_class_label': '1096.1.z.a.419.1', 'twist_class_level': 1096, 'twisting_char_label': '1096.531', 'twisting_conrey_index': 531, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 1680800
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 2}
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id: 1680801
{'charpoly_factorization': [[[1, 18, 196, 782, 1041, 650, 189, -5406, 14874, 15146, 7709, 136, -2112, 30188, 34134, 19040, 1973, -7548, -2916, -332, 1126, 1292, 729, 168, 16, -68, -76, -42, -4, 0, 2, 2, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 3}
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id: 1680802
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 5}
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id: 1680803
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 7}
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id: 1680804
{'charpoly_factorization': [[[1, 0, 4, 0, 866, 0, -1160, 0, 9827, 0, 1789, 0, 10896, 0, -7926, 0, 4149, 0, 1789, 0, -392, 0, -684, 0, 171, 0, 72, 0, -18, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 11}
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id: 1680805
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 13}
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id: 1680806
{'charpoly_factorization': [[[17, -102, 255, -238, 51, 0, 0, 0, 17, 85, 17, 0, 0, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 1718003696712, 'p': 17}
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id: 1680807
{'charpoly_factorization': [[[17, 119, 442, 935, 1122, 714, 204, 17, 0, 0, 0, 0, 0, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 1718003696712, 'p': 19}
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id: 1680808
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 23}
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id: 1680809
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 29}
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id: 1680810
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 31}
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id: 1680811
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 37}
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id: 1680812
{'charpoly_factorization': [[[1, -16, 128, -68, -132, 616, 9352, 10166, 5490, -528, 38632, 38454, 19138, 30, 40458, 40460, 20231, 0, 12588, 12588, 6294, 0, 1630, 1630, 815, 0, 94, 94, 47, 0, 2, 2, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 41}
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id: 1680813
{'charpoly_factorization': [[[1, -18, 179, -544, 497, -208, 3028, 10370, -10779, 5594, -9, -28220, 37328, -23218, 4554, 7922, 5118, -9078, 6519, -1980, -64, 952, -920, 444, 16, 0, -8, 8, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 43}
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id: 1680814
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 47}
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id: 1680815
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 53}
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id: 1680816
{'charpoly_factorization': [[[1, 9, 47, 83, 50, 25, 21, -100, -16, -8, -4, -2, 16, 8, 4, 2, 1], 2]], 'hecke_orbit_code': 1718003696712, 'p': 59}
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id: 1680817
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 61}
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id: 1680818
{'charpoly_factorization': [[[1, -18, 179, -544, 497, -208, 3028, 10370, -10779, 5594, -9, -28220, 37328, -23218, 4554, 7922, 5118, -9078, 6519, -1980, -64, 952, -920, 444, 16, 0, -8, 8, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 67}
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id: 1680819
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 71}
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id: 1680820
{'charpoly_factorization': [[[289, 0, 3468, 0, 5202, 0, -38148, 0, 17051, 0, 45373, 0, 20808, 0, -8670, 0, 11305, 0, 221, 0, 3128, 0, 0, 0, 459, 0, 0, 0, 34, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 73}
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id: 1680821
{'charpoly_factorization': [[[0, 1], 32]], 'hecke_orbit_code': 1718003696712, 'p': 79}
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id: 1680822
{'charpoly_factorization': [[[1, -16, 60, 102, 1806, 1874, 1770, -11016, -11901, 1206, 12809, 12206, 31956, 25836, 9858, 18904, 13975, 4522, -859, -3120, -2580, -1020, 270, 270, 135, 0, -8, -8, -4, 0, 2, 2, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 83}
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id: 1680823
{'charpoly_factorization': [[[1, -18, 179, -544, 497, -208, 3028, 10370, -10779, 5594, -9, -28220, 37328, -23218, 4554, 7922, 5118, -9078, 6519, -1980, -64, 952, -920, 444, 16, 0, -8, 8, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 89}
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id: 1680824
{'charpoly_factorization': [[[1, 16, 264, 2720, 20336, 117432, 544852, 2086240, 6719436, 18463072, 43741280, 90076064, 162230316, 256723532, 358149130, 441472864, 481433286, 464633392, 396630680, 299036384, 198636096, 115837592, 59021380, 26108704, 9944676, 3226600, 879164, 197344, 35526, 4930, 495, 32, 1], 1]], 'hecke_orbit_code': 1718003696712, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 26, 'hecke_orbit': 1, 'label': '1096.1.z.a', 'level': 1096, 'portrait': 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iOPnZtifGWItSBOAxY7ksHIJ/AEwmhmpzTrJ1OWOiGdgWCY+Cz3BZsmNYttzckLipofsGkdbJuN2DgzZMPMiE0zI7ZtNFyySXHldp+6anLs5ARfeyrgkYMJT5yISVWXb39Zm7e/xFBXMxw8McWxsx5n5lLOO3AfXjDcePU8v/yeZbavn+Ts3BRzyzUW2z5LbclyN6XbS+kNBQePL3DwVPvKxw/OvfzoqQs7j5+Z+8LNr31ndO9tH3uuIfEN3f5BM/jScpthZPAU7/3Ko0de8gu//Qn57pccfsm/ffsZb35lI0vtCRZXGiy2AxbbHottWGqnLLVjFldSzq/AkUXB7PoVfvX7FrlpT4NTF9Zxdq7J2QWPC4uG8wsJp+dT5roJU+uGvPTaHi/aC4GsE6qQC0s1zi14nF8S9EeQJJpaoGnWUqYnEzRw4nxCpwc7Nvo06yOMESACegPNJZtGLK54YKwUWenBKAGDYakdsXWDT3egEMog9IiJms8lm4es9AUnznqk2mNmQtKqCUIfkkTQH0nOL0nOLRouLCeE4RD8hJuv6vGSqwWzE3UWlyc4dSHk7AJcWEi4sJRwZgmOLBpecNUCv/Z9y2yamuDk+XWcX6wzvxyw0JYsraQsd2KWOylLXcNCV3CqAytLHX7r30bJ97yh9tVg5ke137jqqxL9Cyk+YW3iuYbKRW//YBn8A3/5CV7yohv4mZ/+6V//8Cfu/Ld/9OE7L3vmxMrOI2d78qXX9Ll0c0qaehijMMayN0YCEhAIYfCEIZBwdrHOA4cl1+5eYu/2IY0a+J4k8BVB4NGsSxq+pN/zOXC8xh2PBJyYG9FJYg6cGrFxZom3vHSZay/r8oK9bY4vJCz0BY1wyNGzhnanyTWXSlaGKfuOK1oNj6dPwOVbDMMoZZgGeF7MdAv2nwpRXoovEzwfBiPJTXv7DPqSay9L6QxSTpxtsWuTotmIWBkZNkz1We51+Oid8NixlCeODdmxZZHrrugwvS7izTd3+Y5XGHZvapHGUxw7M8mR0z6nzmtOz8Wcnks5Mic4uRLzvD3z/Or3ddk4NcWp8+u4sNhgfiVgsS1Zbqe0uzErvZTlnmGpBxf6iuVOwo17F/jJt87JmsfO+fMndvUHyQvDiUvr9cb0Fx/+2qf5gz/+8HMNmTVv/yAZ/K/++m+47sqt6p6vHf6/j548/4sPP3FcnV+KWBh6nOtrrt1xgd/68Xmu393gwuI0i+0GS+0aS22fpY7HcheW2ynLnYSlbsJCG04tC7z6kBdfvcR3viJi14YmK70J5pbqzC8FLLQFS20rEZa7ms5A0xkZ+sOEmYmYSzZqQBD6htNzPkKG7Nig2LXFsGVDnwvLIx4/1OL5lxsa9WWeOryOVjMiinxmpjWDIVx5yZAP3TnFFdsTRiPD+klJnA5o1UKePj6k7je5fk/CE0cjLiwGbJ0J2bUZLtkUoVTM6QUIfIMQhh0bE6Zbku4gpNf36fR9ljqKpRVYbGuW2ikL7ZTzbVgcplyytcd3vnKBF+/1qPkTnFuYYGG5xsKKx1JHsNzWrHRjlrspKz3DYg/OdxUXVhJuuuI87/vxRS7f2mSxPcFyp0ZvOIGsXZ4G9U2/HptLf01xNn35q//pcw2dVbd/UAA/ePAg9VqtfubM6Useffzpdx89ceY/HDh0mmEk6Q5heSCY6yvOdhNecOl5/suPL3HdpXXmlqdZXGmw3Kmx1PFZ7ngsd6Dd1ax0E5a7CUsdw4W24GzPgOjx9pe1efNNmks314iiBsvtGiu9gHZXsdwTdPuC4cgQJYY0BSUNoQ/10DA1YdiwLsbzhxw5F/Hk4RCdNHnjCyM8f4WH902yczN8/oGEl10TMtceUPMUSRqzbhqS2MfzExYXG7z0hg6fv6/Frs3w0KERPg3ecJMmEQOePJJy7HQNTwZsnPaYbgrqoSAIBEpAoiGKDcMIun3DSk/T7WtW+prFnmGQpuzY1ufNL2rz9pdEoFssrkwyt1S3ervjsdyGlW5Ku5ew4sC91IdzHcV8J+UFey7wvh+f46oddRaWp1juNmj3Qjo9n5WuIKhvo9bc+Etbtu39621bt50cjoaDy/fsea6hlN/+wQD8xLHDzM7OBocOH/6BQ4cOvf+hhx8Ti0s9ORhpekNNb2joDGBlIJkbSM51Y266bI7f/JFFbrisxsLKFIsrTZY7ISvdgOWux0pX0O4a2r2UlW5Cu6dZ7hnmuoJzbc30VJ/XvaDLzXsTdmxUTNR9Ot0aoS8BRZRItBZoA/0hIDTTrSGHzhi0ibj9oSajfp3Ltga8+No+sV7h7kemuP5yn0Pne7SXJ3jRtX2++HDIxnWGfScM//JtHfYdD9m4TnLHI4oXX6lY6nc4emod1++JuPvJAcmowc1XBezePmSQ9LjtYQWp4Mhpj4mGhyegP5BoI0i1IU4AqfECTbtnaLZitm8e8ZIr+7zu+QkzzRoXliZZXKmz3LHnZrkjaPeg3U1o9xLavZR237DUl5zvCha6CS+8Yp5f/5F5rttVY35lkpVug04vpNMP6PQ8egNJZyBI0preffm1Zueu3T+5a/dlH1hcmI/2XvEPA+T/IACeJImMRoO3PPS1z1/W6SXve/DBh/1hBMPIMBim9IdpDvLuQNAeCOYGkrPthJuvnOO9PzLP83cHrHQmmV9u0e7VWOkGrPQ82l1Fuw/dnqHTT+j0UnoDTbtvmO8J5nsQpyOuu3zApnUpvb7hTS8asXOTJkklnjREMdz1eI2TczU2Tyc8daQGusHebYobrtCEtT4PH+ozv9Dk6p1NJqaWue8Jnxsvr7HYX2F5eYJNmwwP7FN8z6t7PLjPY9sGn4Vem+WlddxwZZ/7nkpZV5/i6st6zLXbPPDMFHWvyQuuMOy5ZAiyx+PHBBvWxVyYj7n7cZ9hrJASUm3YuTnidS+K6PYUW6Y1N1wOUdRgqd1gqR2y0vPp9BXtnqTTg04/pdNL6fZTOn3NSt+wNJCc6QjagxEv3jPPr/3wMi+43F4c7W6dTj+k2/fpDjy6fUVvKOkNBN1+Sm+QcMMNN8apUT/7rne85XCjWf9s4Pv6ucbWc57JHI36xHH/+04effi35s4dXHdhbplmQyKVDRSx/+9u1gIUwiClQUqPBw9u5Bf+xONtL17iu169xK6tEecXJwiDOvUwoBH6NOse3bqkNfCZbHr2ghmkbBxpBiNDdxiyNF/j9ClDlGjOnE8IQwMIAmXwpKA/UAh8kr7H83YKdm8xXLK1zyjtcuuDiv2Hp3n980NuuHKZD95qCESDnVv7PHGfYuuUYv1En5qqE8U+c11o1jy2bRQ8tj/ihj11XnH9An9+y4DAb/HaFxr8sM+XHoj4/P1NnjlW59ItDXZuTpmdjti1PuaanSlKaTxlAEMjDJmdColin24/4KlDvi1RGGRAhN7Q0Ovbz94dpPQGhs7AsDKA+b7iwrKhMdnmp944zz998YjrLm1ybmGCdq9GNwe3ouf+zf5QMBhZAogTuOfeB/zW5Mxvbdy4aemVL7vp33S7/T9vtRrPKb6eU4DHUR8EP3z22H3vPbrvznWjfpd6EGCQCPd/oEDYpUYIkMJ20ihpUDIlkJInDs3y6MEmh87O8baX9HjJVUOmWhMstRs0OzUmBgG9vme/nKFkMPTojzyGI8Mw0kSxIY4NSWqPKAkwGqQS+J6gFgimWoLpFmxar9m2sc/66TZfeBjuedRH6kle/3yf5+3tcu8zMdFwghc/T9AeDJhbbHLzHs36qT51L2SYKOY7MUoLnrfHo9Ea8ciBGi+/YZIXXdflkQMKzCTPvyrgh759iS8+FnHHg032naxxyaxi07o6060Gky2oh+B7BiVBG9h3TJCmgjgRRAmMYuxnHKUMRprhSNMfavojTW8AnRHM9yRzXRjpIa+5fom3vKTNP3utJkkmOL/QpNOr0R0E9AY+vYGiO1D0hyIH92CoGYxSRpFmMNLMHT/Lh/761nW9QfKf3vrmV3idbv9PJp5DkD9nAI9Hi0iSH5o/fdd7L5z44gZFn1YzZDDSOaARmeWnEEIgJQ7coJTBUwZfaeq+YKFf5yN3buNLj3Z42TUrvOc1K1yzq8fMVIPFlQbdQUh/4DtgK3tEglEsiRNBktil3rjlQkmD50EtgEZds64Vs3VDn4Qeh87EfPTuGkdPNZkK69x4lcfN13Z44GCb2782wQsvr3HJ5j4fulOgRMhEK2alN0IbUAJmJ/p0ugE6qfOWl83xkc832H2hxptf2CeKF7n7yRnitMZNV23gzTd2uHx7my890ueJUw0ePxawbZ1k3YSgEQoC316EUoAQBm1Aa0OcuIs1NoxieyEPIxhE0B0KlkeCpS4Ib8j1V6zwntet8LKrUmYm6ix3GrS7dbr9kN7QpzcoVoL+SDIYQt9dOMOhZhCljiwg0YrT59t84CN3bOiOeO93vOWl5tyFpT/dvHHd/zsAbpZ/jeXO5URLH//+aDh8X+fCM+s9ujQbNcQwsUyNZWsECCERQiCEREkPKVOUEm551vjKEHqGuidYHioW29N87K4m9z/V48XXrfCe165w/e42M2mdJAnpD2v0Bj6DkUcUK+JEkqSSVAu0ETYLKgxhoGnUEsIgIvBHnFkccctDksOnA46dnkbpkN2bA67cpXj+3g4qnOfJIy22TjW4+lLYNLvMUmeCa7ZKEm34woMho75kqpnwhpuGfPbumJPnW1xxmc+5lSFPH/XZvnGa63bNc+8TXe57WjCKAvbuWsfe7SF7t3U5cm6Jw2fgwf0NDh1t0vAEoSdphoaaD1Lac2eMvViTFKIEolTQGwk6Q0EnhkgnaDPkBZd3eM/rOrzsmpTN60KGw0kW2zW6vZDeMKA/8OgNFf2hYjASDIaSwcj2jQ5HqfX4R5rhyDCINMPIgjxKFXPnOvz+h7+84cGDc+9rtprJL/+PWz+4/8BRPvpb/+IfL8B/+r3vh6k/RLff+c9EdOx3ku7ZKV/WaNTrSBUjsBJECONYG8vWUqCUwFPK3Ws8leJ7gsDTBL4h9A2NIGWqJuiOfJY703zingnufHzIxuk+735lm73bhwwHPa7eZdi+STGKfdK0SPMLDFJqfC/lxAXDsfOClYHmM/c2OLMwjYl8pmuKLTMeOzZ5XLoVrt7dQcsF/uizTZaWJnnhXo+rd7f50uMCkfhsmJY0Gwn9OEAaCUaivID2UHBhSXCVafDK53f56iN1tqwPeOHV6/jBb1/gA5/v8uCBJr2hz+JKi11b6lyxuc9Ne7q84+Vdzi4t8Zl7Qxb7ISfO+Zw5E+ArgZRW3mljSDXE2pAmmumZmGuv6jMaxezdPuKdrxyxYVKxrhUSxzXOzdfoDwL6I7vKDXJgSwvukWA4wq4Eo5RhpBllzB0bB3IYxIJ+JBimHmfOdnj6b766/upLZ37n5hs2xh/9rfUfXjjxPtbv+Nl/fAD/sV/5c1p7/qn43p/mXdsmn/7j73zlM42rdwYY96VnZccW3E5rSysVpJQoKfGUwFPu3hP4XkrgCQJfU/MN9djQiAyTtZTpuqAfSbpRk2Onm/zmh9eBThBJwvOv7bNrU0SSgDYaY2wSRwqBVALPDzhwMmDf4RrNmkcrkKxvCGZnJBvWeWyZVezYnHLFjhVSscjvfnKCEyeneOEen707UwZJl689GTJV95mZNEy1Ihp1K4W0lrSHiqWeYbGd0u7VeenVKzy0r8/+k4qpiRo3XTXFj7xlkd/7FDxyuElvYFjpelxYmmDT+gYbpofsmBny0+/qM9Fo88QxOHBK4vsGpQxCaLLo3BhIEti5KeXF1ySksU+chBjTYBj5nF8IGIzsijaMVC7fBpFgOBIMI8vao8hmZUcjzSjSDGPtXjM5cw9iwSAWdCLBSizoJZq03yfunZp66ws3/vF/X7gkETPv+tjgvG/qm/7NPx6A/+v3fpSdWzeqxx/+1NsPHpv/4P98aK722P5pfvMn2uzd3kVK7YCtkSJASoOSPkoZlFQopZzelvie1ZyBrxj5klGkCaOUUWyox5pRrIkiw0QCo1gzSiBKBMNYMkpD4rTG/sNNHt8PqTFYaFtt7EsIlK35aIVw9WaYqMNkUzLdUsxMeWxYB5dsGrF5doXYLPG7n5zkyNFJbrhUcek2ye5ty3z56YQLi5M8f5dkekJTCwaEMsQoQZJKhDEkacRyr8aFRZ8b9tZ53p4u9z5SY+O0oFFrccMezU+9fZHf+ZTm6TMtVnqala5iftlj/VST6Yk60xOTTDRiZpsxO26ICP0E30tQKkUKG0wY7EUVx4q5eY84UcSJIooVo9jdR5JRLBlFkmEkGUXCBqiRYBQZRpE9r6MoJYqcpo/t68MIhrFgGEM/FnQjwXIs6Y0S9KjP83Yu8xs/scgbrj3bGHTFB5P+Z3Wkr/zk0ok/SNft+PFvfYD/u//0ESYbgTp27OQ7jx6f+/OH9p2r0Zzi1vt9fA9+7UfaXLm9h5IaqbQFt9Lu8FHS4CuD7yl8z+BHksAX9kvwBaNAEcUW6HFsiJLUuiJJ6UghSQ1pqkk1Vm9rcnBnUsiT4PsQeoJaKGiEkmZDMdmQTE8KNqxL2LGpT6u5wie/GnH3k+tYWZjg2ksUOzb7XL59SCpW+MKDDZq+x+y0otUY8uQReOaoxzXbDf2R4rrLY67dbTh/LmV+OWAwbPDGG7t85YkBh84omnVJGExwzaWaX/v+Re56esBn71rPYsewY0PKcttjakIx2fRpNXyadUMt1ISBJvRSPGWllnStlcZgE1ZakGhJkgqSRBAnkigRxLFkFFvnJYoFUWyIIhjFKVGsiUrEMYrLhwX3wIG7E0vaMfRHMTLuccPOZX71Rxd5000pvcEEg+GxmvEn/lIEjX8eq5mPXzj8p+nGy37oWxvgE76W/W77u44fO/P7+/efrE00ArqJTyIUf/tVSTRSvPNVXd71mh7TEwldmeLJ0Olsq4d9z8OPPUJPMfQt04x8SRQIoljYLydWxAlEsbQOQlLYfkmqSVPrLqTGOSXOLcncGSWt7Ak8QRhIaqGkWRdMNAxTLc3GdSNmp7skZoWPfUXygc/PsKFW49pLBJds9tm5RbNj8zKf/JphaanG3k2K6QloNWIuHJfMLYcEu2AUC2YnJVNTcOiYYbmjOb9Q4/KdNV79/C633FNjpgVhEKDkFNfsFvzom+fw5Rx/e+80z5ypsbETs2EqYbKpaNUVjbqkHnqEAYQ+eJ51mKQAKUogx17YqYY0FSQpDugQp4YogThOLSnEmii7j7WzHTNXxlmQiZUkvVjQSQTdyBCNIibDDt/5xkXe9coer3u+od1rMYxCoihk1D1eU7XaH+PXPCOCv8LyzLcmwP/gA58i1fr7n37g6H85evTUxExDMUg0nhB0ZcBISr7woM/Xnq5zbnmRf/mOAesmEoZhnU6/hqcCfM/H93yCKCXyPYLISpMotql0yzjCMpFjpSSBOIU0tU6C1jbg0tpkPZwO3BbgNnAV+J4FSC2ERk3TqidMtRJmpwasn17hq/sj/vL2OgeOTbFz0mf3Jti2KWDbRrjikg79pMMD+yaoK5/ZacVUC6ZaI6YnE4LAQwh7cQ1GAUudmJW+od1LmFsOuGRTixftneP2B/scODNBI4zxVYAQk+zeqvje1y7wgivm+MvbWzzw1BSLPY8NEwlTjYRGTVKvKUJfEPoS37exilI4+9Ci3GB7WLUmB3qSare6OWsx0SSpBXcSQ5SY4oitKzNMLKn0M2AnMBwm6HjITKPDT37HEv/Xd/dohAHtbt2COw4YRT5R7DHsnJ7w6uHvTq6/Njj81Kc+cNk1b/vWA/jychsl5Q///gf+5r0nT5yeaYWCKDWFFEgEHeEzkJKVkcd/+WuffUeWecvLe7zy+i4b10d0O3UGo5DATwgDn1HkEQbW3ssAHseSKLHLbpw4TzvFWX845pZoQwFum6R0zA2esgmTwDfUAk29ltCqJUxPjNi8vsOFdp/3f8bnCw+tY2m5yWWzgks2CLZuCNi2QbBryxAvWOEjd3scPdVkz0bJdEsy2UyRcsSZeUPoSaQAYwRR7LFjQ4cHSen0Fcsdw4WlOnu21XjHK9t8/EsBxy+E+F6MED7aNIkTyfN3LbPjuzt84ZE+H/rCOh4+3mTrtGB9M6VZS6kFgtAXBL6NVTyFDZylyGsyDPYi0wbrtKQW8BnIk9RKOgt2iFJb6xJlyaNEMEigm0i6CQwiTdofsW19h1fcsMJbX97nTTdqPNFgeaXGKA6JIp8oseAeOe0f98/O+PVL33fF896hBoPOn9Tr/3tqyv+3AHxpuY0f+D946213v/eJJ57eEHgGIQUyKZZNJQy+FPSkpCtrtCOPj3y5xl1PdLlhb4fvfm2fN7+wzcxUyGAYMhgFhH5xorJAKUkUcSpJEkmcCpJEkqaCVItCa2tBrkpMlhG1ySLlkkWBrwmDlHqY0KqPWD/VYxAP+NKTho9+eZIHnppiOvC5Zqth8zrJxpmALbOSbRsjLt26zBPHB3zmK7NMKo/ZScFEUzDRiGn3Uz7/tRqtwLpD2sBg5PGWF4/43P22Jqbd08wte2zb0OJtL+nxwP4u+w4FNMMEJYUFuW4wjKzW/95Xt9mzeY6P3NXhvmemOLlcZ9OEYLJmaASamqcJfPCUQElcgszlFhzUtZNqWhcrXOKAbgkC4lQQpw7YqWCYCPqJoJdiY54oolnv87bXL/Fdr+3w/D0pG6d9BsMmnV5AFAdEsc8o9ogduOPYI0qszDx14sAGr3bfe3df+VLd77f/rNH45o+V+6YCfHllhU6nhxR83x1fuuc/3/L5L82srCwThioHtxLGedvgJRBICCV0pU/fV5zuhJy9v8H9T/b4+LVd3vnqAW948ZB1UwHRKGSU+ESxT5zYkxYniiRVJKlL2KQFwLVxzK2LmrLMhlTS1nF4nibwU8Igph5GtOoDUgZ88RHJh++c4qljk4g4ZOe0YfOUYf2UYnZdwKb1ki2zMZds6nBqvssffLZJMqqzbZtgquUx0YSJRozwIzqDJlMtgxACYyBOJOtCRaITunFAt5+y3FGcma9z1aUtfuyfrPC+vwo5Md/EU7G7MDySpMYwkmyaCXn+ZR2uvbTH0yfO8NEv17n94SnOtus0Q0UrgKZvCDyDr8CT9pwLUa2u04DR9qJLtSA1kKTC+uepIEptkmiQCgYpDBJDkiToeMRMbcAbX7PCu1/T5WXXxEzWfaK4yXI7ZBQHxIlHFPsuNnKrbqLyFTeOFcPeCk89dteGJJX/efeem5KF+bN/Uas1aba+eUD/pgK8PxgwMdF86/0PPvR7t9/+pYl+r0099EhSY5dKgS2SSuxzTxq81BYzBUpTTwV9FdBPPOZGNf72/iZ3P9Xnpjt6/Kvv6HLlJR02TCkmGp5lh8QnSQqQpxnAtUQbiTFWEpg8oHSpfmVsEOslhEGCryI6g5j5Tsxvf7LGsblpHtk3hdEBM3XBhvWG9ZOCmQnFzJTPxhnJppmErbN9ZqaW+cKjmoefmeLabYLplqTVkEw0NM16hPBHhKGHp+zfNwbSVDIYeQyGMYkWdAeabs+w1PE5vzjBzVf0eNFVK3zkjhr1JYUnYwtI45GkAVFsezzXT9V4we4eL7isx4OvOMuJeclf3j7F3EqD04shgZI0fUGQyTBpSSYn8kyqYJk8MYJEQ6wFoxSGCUTaQJpAEiPViC3TA67dYb+PG69Mmah7JEmTdtcCO3HAtius52RjAW7r3EiXQVb0Vzo8/MCXZxLt/d6eK65fHg0Hn/lmYvKbBvCDBw+xZdMm9Zcf+shl+/cfnOh229RqDtyJA5c0yEQ4Fjd4KXipwFeGIDHUUkFDCQZK0PdCBqnPYlTn9ocn+eozA5rhiH/+pjbbZhJ2bhlw89VdPGFbxISwcsVmJW2ttDEl5sYgpEEJ65kbEpAJTx+TPLTf45YHWjx9skWUNGh5itm6YV3TMN0w1gef8Fg36TEzJdi0LmHL7IDNs8vc/dSIP7plA5unPGYnYKKpmGgKWo2EejjiqwcVw8jDb1pQGSOIEknNU1y/Z8D9T07ZwqdBykrHZ2El5MLCND/25gucXljk/sdm8SUgYjTkABpFkt7AY7pVY2qiyYv29HnFtX2++1Xz7D+l+dwDNR7YX+fg0SaJ8BiNFP1YofLSh3Lg6XICRpNog9EaX6RMBhE1Yl50Q49dm4dsWx/znjeMqAeSZt0nihq0u4FbST1HOCr32u0h1ziEk5OCOPXoLHd49OF7J+bnzl/2+je9Ux07eiTddenufzgA379/H+vXrwsefvjhH5Ck/6XTXqYW+qS6YAwpDDIVSGEZW6VY9k4NXgK+FPjaEKaGmhI0UsFIwzD1GaQ+/bRGt5vynz8yjUliNs4OueqSITOTCe989YBLNkTEsXB6W0KJuRHZBaYRUvCJu+o8caSJ8DxOnG1w5kKDWl0xGQqmmoaJmmaiBq26YLKhmGgpplseM1Owfiph48yQrRs6pGaFT3xlgkGvyeXbDBMNRashadU1rVqC70d84f4ao77E32C7RTOJ0qwr3njTgHse1fRGkt4gpdP3WOl6nF9scOWuFu98WYdHnm5wYqmFkhqInV72iVPFKLaJmd7Qo90LaNUbNOsjrtw25IVXDDk11+b4uRU8P+Xxox4f/3IDoWzhGuPzB40GNBhDHKXs2Jjw7lcPWD+RcsUOw8YZSBOfUdQiSXyWOz5JrIhTz8VBFtAZwG1MlDF15m4J+1rsVorEgjzVHnNzS6xbn/yXxx59pL99+44PHNi/L7pi75X/MAB++vRpFubn95w5e+b9jz32sLTVbdJG5sIWLyXS1nB7EhIFKjUkqcBLrE6MU4OfWg0Yeoaa+3mkDVEqGGnJKJVE2ifWMN+b4MtPaAwpn37AjmzAaHdkWTxnkYmsIlEilSKJPaT28D1JK4Rds4amr2mEmkYIjVDQrEtadSuHJluS6QmYmUyYnR6xZbZLyjK//Tc17n1yA7tnYLrh2LshadUTGvWIZmNAvd4gVBIlnQbHyoE49hkOBINRSnek6A013YG2LXPNgNMXJnnpVSN+6l0X+K2Pe5xcCRFCY0yMTg1x4hPFkuHIlrG2Bh7NWkCjXqMRNqiFMa16xPMvjwj8mBsvT3jPa/p4KnFJIJs9rohyJ+m0lgghCX0FBAxHHovLnq3bSbOYxx1OaiQu0E/ygL8E7JytRf44yXx4dx8nhgcffFCmWr5/MOh/ZTgcPfXNwOb/MsBvv/UztOpe/djxI28/ePCQ8D2FNsKdxALYNkNpEzBKlwJNZSN2L7W9j0kW0acuqs8iey2K51oQaUliJKn2iHVI6myv8i3PUgrwhLD2pIJa3VDzDDWVEvoQelALDPVQUA8kjbqkUfMswJuCqZZm3UTCzNSIDet6bNmwyB/dovnQ7RvZPqVY39JMNBWthqLZgEY9pVWPObeoOXIupBbYmhrIKv0Ew8hj1ybNpvVDOsOAwdA4FpesdD1a9RqtxhTvec0cR8+d548/sxVPehg0qU5JtCFOPEaRYhDZoqh+TdIYetRDn3qY0u7aGCPwU5sw81M8aRslpExLhW1ZY4kt4bQgF7S1q7LUNq5JU4nWkkQX8Y4FaBbgZ49L9zmYx0EtSNMsX5EFt4LHn3hCtLv9t2/fvuPI33zyk4N3vP3tzy3A63UvWFmZ+/n28oWfN3okQ9/6z4mUObDT7F7bWu40FTbQSw2JBs99yDRLPmjjnpv8teJxUSlnvVyRB0plzQ04S9LKJE9qPImraQFfCXzPWN/YE9RCSS2Q1ENFvaZo1SWthmGymTLVSlg3MWL9dJ9LNi7ywMERH7lrC9O1kI0tzURDWHDXJc2apllLaDVGPHAAHt/f4LJZ43RvkTYfjBQ3XmG4/JIBDz41RX9k2/N6A8+B3KdRq1OvTfGdL1/i8YNz3L9vExiF1qkth00MSWzyepLByKMxNNRrilqgCQOfMEgJPY3npfiezQ4rpV0Rm11dEQZBoeeK4NyWEOvMkdKZ/VqyYjNg6wy02fMsWyoqgLa/l4Ea99jk32+n05enTp/7v32/FjQazV8HoucM4INBX45Gw1+57XMf+TfLS+eCMPByoMpUkApBWmLxVAtSZRMKKjWkyuBp4z6gbaDVKfnjNMu4mSzzZtAuE5clK4wxlDLvlRU389yzhI6SLmOpKBVt2exfGChqoaIeChp1QatumGikTDYTplojZiYHbJld5v4DA37lzzdy8vQUl67XTDVgoq5o1hXNGjRrKfVaTOAPaQ9tsZivDFIW7yzVluHiJGCiHtNPNH1XZ90fpnT7knZd0eiG1MIWOzfF/NoPtPn3H5R8bd9GDAptNGmqSdKEKNFEsWIYKQahpD5S1AJJGBjCQBF6Gt+3fr+nsloft6o6mSKEqTboutS+cSRiXC1L6gCf6uLefufS3YsC4O5xWpIi2epsk3AlIku1q2E3nDx5OqjXGj/7gz/wHn8w6P9Svd74e6fz/94AH/Q7GB3/+r4n7/0/FudP1sJAWmaV9oNICam0V6ySgkSZ/ErV0oI7deDW2WMt0NrkaWSde7RgtLFd5K4EtHwwBnAnu11gaSWKrSm3kshzrWi+JwkDOwCoFtqRDPXQ0KxpWo2UiUbMZCti3cSALbMr3L+/z7//wHoOnFzHjnXWYWnVJc2GtOxdNzRqKY1aTJxG/M87Wkil8KVBicIm1CZbwn2+9/XL3PZwRDcK6TuA9waKbk/RDj1qQUjoT3DF9oT/8EOL/PIHBPc9tRFtJKm2afU4sYVmo0gzqtly1zAU1HxBGNjMZuCZPGPrKY1UViZmZck5wIuUJ+BIBJtLsG6LC+QzALupAzpPruHYnXzFTdcCdg5wh4mc6DQGyaGjJ2q33XH3//mmN7xGrKx0fmFq6u+X6fx7A3zuwlEw+kWnjj1SVyLCShND4jJnaSpIJSiNuxekUpDm6eEM3Jn8sK/pvFaiaL+yQBe2jiIDdXbix95X0bvp6kwkRTGVqyO3AJf4vrT1G4GgFtqZJ40wpVm34J5oRkxNDJidavPA/j6/8mfrePrEerZNC2aaJWlS82jWbP1KvZZQDyN8f8SZxWl8JVBSO1uuCDLTVJIkis3ThiSJ6cQ11ymjGQxTukNJva+oBT6BX8P3Jtm7LeE//OA8/+5P4f5nNpBqaQGeGuIkdUyuGYWaWiQZBiqXYL4Pvmclmq1TsQG/zLxxd78Gxq1cwSWFEHlySLvkUJYtTtPS67qQnGkJ2FoX33eOA21KMsW+NhgOufveh+o7d+58kfxf2HHi7wXwJx/5AjqJG089+oUgHq0Q+PZNyxSkA3Sq3AdzQNc6e80CXWtD6pF/yCqwMxlicqCbTI5kjy/y3qQoiqikBClFDm4lpWuUyOQJ1HwIA029ZqiHVj836jETjYip5oD1020ePjTkl/9kmidPzLJlSjHb1EzWBa2apFFTNOqCes1eHDbVH3H/PkFvGFBTuIvMavCsCSHVgjjxaNYUN1/d5YGnJ+jHVqYMRin9gaIbKsJAEfiB089TXLld8xs/MsfP/SHct28DsZbEWrtm6aIHcxRIwkBb9vaLOnpPZQdOphQyTros71ogz5JCJgO4A3yaOy+sufJqJ0G0rjK1NquBnoPfafX5hRU+/Nd/G7zz7W9q/PUnPtd/93d82/9+gC/OH2d6ZtvUY/d/6g/SdPhyKexuBBlTV65YaTW3Li1blrGLq1wrsTZrlwCtc2AXTcE47Z1/GcIWFAnpwO2KjFQOcFCuYtD3IPCxnUCBK7AKU+pOXrTqIyZbA6ZbHR47POKX/2Sax49vYNOUx2xDM1mHZk3QrCsadUUjZ++UWpjQagy5+/GAlXaN6ekiTZ4BRjttGqeKDTOK1zyvx90PadtFE+kSyCU1X1LzPXwvwPPqSKm5crvhvT8yx8/9oeG+AxuItUfsKgBt2atl8jCWeXVh4Ek8zxVhSYHysnND/v6yizCTKiKrSqNICI0funSvdek+X3mr4C5Xdqbjz1OXcNJZT6mm2x28fP/BY3/6g9/7zh8/eOj4yp7Ld/7vBfige5bRYP7neu0j35WO5gn8AG20LaZPRQXoOgO6EU5nZ1d5ccVn8iPNZQg5e1cCyXHmdkjPMnK59pZZBV2huzM70lPY+gzP4Pu2sbgWaGpBSr2W0KjFNGsjWo0h6ybbPHJwxM//4XoeO7qRDVM+Gxopkw3jwO3Yuyaph5b9a2FCI4xI9IhuFCKUxM8YPNfgwrGX84tjn2YwtOUCUY3pDOTDlH5gGTwMpK2J97INaA3X7DS878cv8DO/r7lv/0Zi7TFKBVGqHYsLarEm9A2Bb3tXPRd3eMqWCCsp3flxXfnZfakwK78wy7HOGLhzEioRUxncOTuXiaz0Wlarn7F6sRIITp5ZoPn0se/6yn2PHhlF8b/738rg7eVTNCe37Xj6/j+4NhmcoV4TpDrNo2kpyxG2IVWiFDiKHNzFByUfjWayYNIUgVjBFEVW0pTXzIy1y0Fltty6slzlginPc51Brggpqx6s+anTzTH12ojpiT6TzS7370v4hT9az6NHNzI76TFbT5msGVoO3PWatRMzcNfDlFqQMNGM2HfccNcjTQIp8ZV2QVzhUWTLd5wqEu3xyufHXHZpjyMn68w2KPocRyn9oWNhT+F5vpsHY73rq3fAb/zoAv/uDzVfeXqWYVy3ybDE0HA13KGPBbmXrV46722VKs1XOCVFCeCiBHJW6ZUC5KYK8LxCsVh511qZx1/LbOBc5mSumTFoFAePnuMLdz507a//0o/uOHz09InLLt32zQd4d+UsQW1y54WTX/1v0WjprUb3CHyvKjdKPqkuPdeZBagzOSJWLWmZP2xyT3vMJVnlljjmHge3MEiV2YKu5kU51vYMgafxfU3oa8IgoRYk1MKIRm3Eusk+y90+9zwFv/HhTTxxeD3rHbin6oZWXdCsidwrt86LtuwdWIDXwxFRmjIc1Kgpe5FJISqVfFkixQaantXy3ohRZBjEogRwTRCkBL6H70s7VUD6OcARcN0uwW/8+DL/+a8S7ts/w9n2BMOmZCo1tBJDzU0cCH3jvP/MSTE5e2dSJQN4/n7dmy7jPFeI7kvJVtUC3FVJaas5S2AfA3paAb1jblNd7fvtPhfml976udvuS1/xkuf9n8dOnD2+a8eWby7AR/0jpFH9hf2VJ98+7OwjDEJSo1EOuGVfVOeWX+m1vC/QJWd0tlwbdwJE6cRUNV9xq6rC7Euw4x4oqhUzcOfDgWxZrO9pN2YizcEdBg7c63rMLw947/9s8JmvzbLQm2Z2UjJbc+CuWd3dcIFlPZQ0QuMY3GrvWhgBEXc+FrAcB8yEVOqxEdUVKk1t88NE6PHqG/rcfyCiG4dM5h3rmmBka9UDzwLcU7YhW0iboMHA3u2S3/pXHT53/4Bf/7ONnF6YZjDlMRUIWommkUAY29HLgbIDjfws0JQiD4Kz+3KgXr4whch7RfLvB8YkZBnYpfhJl8GfJ+lWgzxL4BX3Ao3H1x45zMaNm95eazT/Z7c3OP5NZfAk6aJU8/L2hS/+66T3EI26sdm01JAaC2CVupRulvnKGNxlwDJA51o7B3UmQUxhQ42zdlmWUBoKRDFHJXMBVAZwZWw5rpf1dtr+zsBPCfyEWhATBjGt+gDP63P34yl/+vkJbrl3A5GeYMOEYH3NyhJrAWY+uXKHcMxdZu8Yzxvx1Wem6EcemxvZ+xln8Gx1s6WkNV/xoisHJNoCfBAL27Weda6PtA0OPTcbxtl7wiXXDYL1U4LvelWPVniWP/v8gHuemeF8XKdfk0wkhqZnLMg9F4co4+IS40CenUNR1I5LkBQsPr6jYC5VshEVjGvzcvdQUXueMXq6RnCalggwNYXVGBuPW+5+hmuuueJff8/bXvLocqd/aHri64+E+7oAH3SO0j77tyh/asuws+8VQs8TBg3SNCGVrvZaC/fY4BlRYe9CkhTsXZEjmdbGJRMqwC5ZD2X7SpgxaZJl5WzFoB3tpl3NtwO3srUYoR8TBDE1P6LRGBIEfT58u8dv/sUGjsyvww9rbGoJ1oUpE6GhGULTddjXQ5vtrLmEkK1fSd1KYOXJQielFwUEShFIkweYlD5KdmFntRtR4lP3h2yaGrDSbzGIhRu3ZmMF30+dzaec3akswCuBq618fOvLetx41Ty/8ZdDPvSFWZaSJv3Qp+lLJjxbgxN6ECjyZggvS/rkc2hEngXOEkBlUqmKlTLQqazA2lSlZqHNx45VZkMZ3K4GyXicutDhzvv3v2IYJ1vOz7cPPXXgFNdcsf1/kcFNSmv2dTsH7cf/aNB+AqUkQiZIIe1AHleQo7R0vY8FwI2pShSji/qGLHjMTwKiJEnEmDTJwG0KNnHZN1kGuDR2/ESFuVMH8oTAs5IkDEaE/oDjFxL++HNNPvWVGY5emGai4bOuBtNhSis0LvWegVs6cMs8KVRz2jsM7IUz0Rzxya96HDpRp+YmcOXtYhQoz8c4GKvD48Rj7w749hu7/OmtM/QaHhNu9kgYubhBaTxPurF1lEDul74ruypcsl7yC9/T59pdp/nDW9Zx9PwkS0mdvu/RVIKGA3ogjb1wnMuUr37Zec3sQ6w+LzKdZrVPnhFTVjqR++arLUVTAnG+imeMnQeYRbIoMYJYC5CKL99/gNfcfOUf/fN3vPRNc4udrytVnhXgOo0Q0me4cvc2PXhotzJzSD9A6wQlXfeMkQ7cusTUBdgLl0TkgM7Ab8rsbURlVLJxXxgZY2cgFwWwhSvFzasVpXauScbeKb6X2M4dLyEMRwTeiG4a8f6PBfzZ5zZxZnEKreqsm1SsCwyTgabhmLuRp++lq1Nx0sR55zm4A5u9HMURh06H9KKQ6dC5OFnSKXMlsiysKdWkxB4TTY9d2yJUOKQbtRgEgnpsGGUA91KXqFHWx5ZZCfBawatidrLPj721z9tfeZ4/+1yHP/7EDAuDJgOvRs1TNDxBXRnCxFg2l1aqeLIob8iynKuYnDXkyrjDAtVYKpMhJSIrs3hGgjlzO4AnxiZ9YgMRiqPn29xy777dfi3c9q43Pv/4cBRTC30udnt2Bk9PAJOzvsfHougOv1bzSNOYVCu0LhhcG4FOZQFuo3Nw54ytM+YuAdsBvmBscZEMpSnZgSYHdkWeyGxYUGoB7qV4KiXwY2pBROBHtIcRX31C8uHbJ/jEV2YYpi2CIGAmEEwFmmZgaISGRlCAuxZKwlASOmliE0POmXAAD3yb+Tx2znDPww2i2CdsmlUBZk4cuQa35yuKFb7v8Zobu3zkiz0OnG4yqNnRDCPfECTgxxo/0iglrW8thVtFC2BVPHYtaYQeG6cG/Mx39rnykhEfur3FQ/smmR80GaoA3/eoeYK6hDAbsJTZq7LUZijKGWJTSgRVvqIKo2cENe6IZc8L7S1KbO6AndmoRpAYiLQgcmDXQvKxz3/Nf9cbrvvY2QuLz5tf7s7/vRk8TrdIMXzohfQ+OumJPsarIaWH0implshU5e1hWpVZW1bBPSZL8iMDtpMoZQavFP7YHh3L5HlKWeflnlZ3GzyVWoCrNJcjnhfT7sXc+5Tgz2+d4PZHJllqt5D1Gq26Yso3TASahm9oBIZ6gGNty9z1UFILFLVAUAtwFXragVsT+lZ/K2/EwdNwpl2ziRWnb6uJk6J+xvZBCqcxJVHksXFCcPn2AU+eTOjHPiM34zuIsOBT2WTdLFED43UahVvl5E9q68Pf/ZoBb7hpmS892uWDX5jgoX0TLHYbtGVAL/AIlCCQglDaRnBP2l3qlCguUiVc2e8aDL6qfmWcyUuEpimzt70I0lyiCGIH5gzgqUsY2WUgJor6/M4HPzf5U9//7S989c3X3cqzDA96VoD7HA2NML8/6B1vCoHtBhGaVEqkViipHZAzcLteSC3HgG3vcawOVAFeOiEVXqhIE1Mp0LeyRDvNrVEytQPxMzdDxsx3E+5+2OPz97b4zD2TzHWaiFoNv+Uz4cGkbzt56j5OdkA9EO6QruTU6e5AEGbsnQHcSwiChFoQYUzMnY+EnDhXZ/06gS+107GiaPQtsZ0pWahpqhiMfHZsFLzmhj6f+lpEL/YZxIKab/tVAzdZqlilVO5XI2RFpthDFo0K2vrt9XDEu1814HU3LvLpr3T53L0N7n6ixVy7wUAEDAIPz1d4QtgWQinxhXFSy6AQJWlYtQ/XIPOKC1Ywt8gD0LTE2Il7nuSgdg0sxoBJwSQ2NW4StDA8efB8cxjJ339k36krgcHfGeDLbc3KaPDP4pUvT802LtgAJkldF4fCSOVKNm2TrykDvNT0a7IdiA3298pfAtjeyTVqAisBZQnYdkCnlSTCAdzzUgIvplaLGY5SDpyB42cVH71jklsfmmBuuQl+DW/Cp6EkLd/Q8jR131D3oeZbcNd8O5PQlpnK0iHcz40Duc5BHvi2Pe3IWc2Tx0LwfbfMm1KKXlRQUA7CbL20IEntOOdrdo24aluP/WcaDGqCRiIIY8NI4aw97dg7c1MyC7LQKrnPnifdlJs+4DOMfOr1Ed//xhFvuXmF2x7u8ddfbHD8bI39ZxpEKyFJ6DH0PKSyU30V4Ln7jMlz6UIR/K+65W5KAWqNK93IH5eCS4yd9JuJdpO6LGACuC4Jk0ICnZMLPPX0w5xd33w2jr44wBeWV0QURz/1+39xcOqyTXVedEXEjXtivBBCT6IjSRQpUq0wyJwxTAnkRWBZGuGAcKCmdD8G7yxSzzWfTWpYSaLdLg8pYWgnqSZpyvlFuOPLHkdO17nrgTpnluscOduEMEQ1PGqeoukZmp62LoJvB+fXfDuuzYI4O6Q7lAM4TnM7cPspoW/Z215YEcfmYd/xBr6s2oO5RKGoB88dhcxJ0a6vMfG5aseAyzf0eepoQj/xacWCkQdBYmcCqhLApRQIKStMDuP2m8iD2ayPMk59Rn7ARD3ie18/4mXXdjiz3OHOBwOOngq57ZEGZxdrpAMfLT3iQCGktCuF68qXuIwn5LJlLZBXAk3KWerMbXGvjgPbaAtqrW1fW6wRXor0Um66OuJFl4945RVfWv+a1/3cv/637znyPhHsXjN8uyjA3/unt5AkCZ/4zDKks+zaMuKaXRGvuHHIVTtjtqwzXLZzRGgkaezYW18E5K7Pj9Ioh6K9bDywNKWIvWDtXIqoFD9MiVPD0VOCJ48q7nigwVPHAp45VqczChlFIfgBasInVIKGgoanqZd84NDL6jSysllbFx46WRIEiiCQ7gIwhfb2U5tZ9K3OrwUxRkdcWJKMTIjnSQJp8Eo22xiB5yBPTbXfMUp8BB6z6yKkGtKLffqesE5HXBSMeUpXMpBSlKLYbNgRhVTMWsuywUh+qvLxE/1RwKbpiEs2xjz/0hGDaMA/P9bmqeMBd9xf48ljNY6erBEnCkK7ciMkqSxlg/IkxRpapSLOMx84u9el+7FDa4g1Him7d8VsXRezd1fMK18w4ppdMTs3aTyRNuP2Hd8VC+99fycGf+/vf5wLS131uQf3icHIECchjx/2ePJwjdseaDDpay7ZFnPN3ojX3zji1ddHYGxbVL2JmyQlQQuSWLoh9+6klxm8fMkbC2jc/BLfMyA0QhriyNAfWkY/flryV7eH9GPFY8/UOHwqZKEXMEoD8AJQPmpCEUhBXUFDGWoKO85MucIjZVk78IVNepTB7UsCJ0vCAMIA55rYlLnvaQI/cRnRmHotYm455Y77WrS7IdOTAs958VnRl7gYs+lSQKglo5Fi/YziDTcPue2hASfbTQa+tDLFAz8x+HHmWTuPXabWLqQ860Tmf0Mbr1IykaaSIFWkniLx7diHOPatlerHNIOYl12T8KIrR7ztFUMOnpI8vs9nECk+dEeDY+d9EJL+wCONVFa+ifEygI9ZRuX0bQXggNGI1CB0Jk009WaK72uE0bz6hhGvv3HI1VfE7NiWMOnD+gmDMJI09UiSFBM9IoKJG5Vu/3kiJ//5N87gG6Zb7+8vLl0XG2OLp41CG8N8TzOvNceWUu57UvOxO1Jm1yUYbbhhT8S7XzvMe+1mJzXXXxPRrLkVx4g8B7b6Oxf5cJ52X/D4Ex6LHUm9Jnlgn89nv1JjGCuGseLc+QAtPGLjo4UPnocIPTwpCZSgJg01B+xQGUJlbA245zxfr2DuIOvLzMGtXI+myNk78DVBkBVopTl7B0GMUhFfflTxqa+1UIFn7baK/r44g2deeJpmjodiOPR5y4sHfOarHT505yS9pEbT6XA/0+FxlpQxebeQEDIHmP1TsqT1SwDXbrSDZ5nc9xSJ5+ElqQW6SlHKDtKfriW8+IqEm6+IMWLEO1/VZxjbcW5/+5WQB/cF1EPBQkfx+FMBnb50KklwUVGe7zxhWwOvvz5m/ZQt+9Cp4d2vHXD95TFGw+w6zbopg4ddKXQqiUYyNzZA44vF66Q39X7gx74hBj+30GXTTHPi5/7rx68Ypb5CBZaGsqtP2StNG81Iay60DRdW7NCYgycbfPbL9ucmNUxOa154XUSrntk8a7vc+aXuXIeVnuKhJwM6bYX0pJ2JYjzLTMLDzgX2QHpIKfGlsGCWhlBqAmmBECgIVDGjz4JcFA0Pnm0EyBqPy+C2DO/Kav2MwdPSkRB6McZEnFkIiEY1wklJ4NLeylXlVbKYgoK8StZp3p2uFVHsM91SbF8fEYghgyRkkAjqnh2CmdWQZAktJcvlrTL/W/ZvSJf80UX2VGvXfFJIoyRJXd5AubnsCXGSomKbS/BUipQJ29Zrt2JorrxkSGQGSE/TbgseetJjpS9RuWKpBtWVb9oVYzVrmhddFzM5rTGJXdnryp47+949dCyJnJRbJXnRmAhlhqMrwg0/OqGTt3WkN/3sAD91doEL88vve+iZM6863wf8Bqu1k1tfVXnQjiExmnb2c6XprBjOfblZ+ohrAbys39yXI6yvjme31MaTIFQR5EjprKwM1C7tLHEbt2a+cenec530Crf1Hjm4bVuXInDgDjzyElPL4I7FPU3gsqO+HxOGMacWNH95WxO8AF+KIsDM5YlYxeBlfzgbEmrBZgfrRLHPe94w4NN3D3jmQote6tNI7Ka0tgqwmCsjVJYTKAd7WeliJoVkqcArO3ReC+N5Cj+181J8B3Qli6SZrRt3j4V2M29SPGEQJmV9Q/NtL9UgUiczAZHtn7HGd57XGAnQijT2yOaxJLEkpmpSlK3PoqTDXbwjjWeOv0o0j7/PmOQnvi6D/+lf3YGSIjh78jx1zxVRlQpoiuqxNQA//roypH4J3GviO2O3DODV4EVImbegKQG+sGnlUNhqQV/a557E1VS47vGskMijNAcFtzNb0VVfAFzmsiUMTN7SFgS6NDgnwXfsHXgxUkacOC+Y79QQnkcoqcgTWf5Ypa+7LB0qwHNOR5T4zEyM2LFpwP7zIwapxzCFMBX4qcFPnA5PyJ2lIoWuKp0K2XdmLdyszlqUpJHGSzWpkigv275cuWK1FKm0Wyl0Yc06kIvsb+P2WJImd70yoGcOWPnzZwAvknvl+4Khzfhjs/r1NIVh+wKj9G8Ds0a+ZxXAH376JFIIur0BDa+wdvJUKln2abzyz1TuC1A/myzBdeWUCuuFQFKkiO1UKvCFwRcOtE4CZI/z1xzZF6Wg5A22gRIW7BVwS3sfZEDPgk8H7qz7x9O5RPE9q0+DICYh5nNfrXNhvo4/qQjKNRxlB4UxRVpOXRsxFgQqhiM7wfbNL+nx1SeGdJIafc+jnmgil05XsiiIygrOhNAUnUNZoJlVbWbWoZupYsg7rjwtSJTAS6Xbxc7W8iQO6EUyTecJNil1KfHmHssyuJ3Nm+8VY0p8XjUXygCvPB7Pl5Ss5motU59keGhNrFUA/p///ItMtuov/YuP331jnGhCad+Y9SxFXh2WpVezlGvVzLdv/utNaskFSZYsEKCye2HwILfalEsZ2/kmhcZVGbClG+jp5EkZ2PkcFIXtR1wL4FnAmeluL5Mlxuntai154McEfsT5tuaRw3XwAjsCWpo8PZ8zOFUWz5ir8IHLpaIy98Tj2OeGy0bMTA1oLzfoJ4qGsjtj+G62o0oNKi4DHAvy/A/JsUpN4fomXY2+0qRa4GtBqiSp0qRKkDiQl4vXsnKIbCSfLIE6K5kQaAdyB+g8E10k7SrFGJX6FbEG2IukYPlireZSrJMU+N6Nk5te/9L2uVfdO7n5O9YGuIkjhj3zbZ7Q15skoh56OEFS+UIMJgc2JXBXKshKHyUHtbNPymZSdpVnWbECHCZn8PESTi+rjXA14Fmpp20uzjpVrCxRefdKAeys+dayt9PcHrnezixBy9gFuP28OjFGEHPLV0K++lQLGXoEUtj523kFYXk+S7mOuvhS89FoOYvbQDPVisHQ5+arB3z7y7r88S0tojSkl0pqqWGU4FauctWfdnJOj11QF2Ny0J7MWwkzcKdKopS2jC6lGy2hS6XI5RogU4C8km3OmDxbpEsydbxsgXJOpEzConRxllk9+1lxuYh0hJeI6+N49G1Gp/euyeAHj5xm3VTzDR/4yJe+pz0/x2TNdnmUgZu9gQLIIgd/fiWWUF0G+XjdQhncGQBkCRSSouahPNogY267BUn2HMfg5G1YFRZ33TC+qoLbjlMYY27Xsxm49jbfyxoOktIRExHz13dOkJoQlWcvywFm0deYORsVDc5Yu56WdjpUmgWbHgKfd7+6z//83IgVHTNIawxSgZ+Qs3g2cz0rOrN24fj6KSmsSVECuSD1TNEgrjSpZ1DaypVUGVRqKxht9riYN1lYlOXqzqKMOW9KyYFu8i9+NcDHXxBWpq8CNZXHxX2NeKWNbAy/Z+Mlb7qr3zl1W2NiexXgcRwzGEaXDQe93dGgQzMMih5Jqn8sB242m8Sszdhr3YQoMXlJnuRAHyvPzLX4mObMQF+e7aGUKLS4q7irDLtxwPaUKJyU3A60Hfe2Mdk45i4CTK/E3qEf8chhyaGzNYzyUVISSI03XqdREuDjLkp25J1OWpT8agvyOPHZvSXmqkt7fO1gnVgFDBJBTYKfGrxsMwHhunASp8ORVi5U/qQosbgoSaOiuTebCekp7cDt2tmUKYE7qwUyrkwgY3Ly1UOUwI3IJmatzd5r3XIclWRILnbcRZr9LFsFo96IcHK4O0miy5IkuW0Vg88vLDMYDBmNBoS+ZcPxjoxsh67ylVc1AJ/t7Re/US63FONAL4Fb5TXfhe1WSBZhu+dFAW4bZIq8W9zLwS0rAC8P/7Hd9uTAzrOVOXOnBJ5N7NiuoBhDzMfvbLC4WEeEnvXdyxfheA1KfnWXyMAU0wTKddy5N63thk3r10ne9ZoujxyeYJTW6KuAemq1eFbOqiQO3NlaoZ0nnlkElsUrJGXcOI+xqVT2kG7EtTu0yRNLdlt1p8Fltt9RJk1k0RwxzuBjTStFum9t67haZVrIkdUAtw5RnBhGoxGD3iJJMsz/pRzgf/jnn0ZJycLiCqEvQZhKv2T5i6F8v/a1tzZ7u/8U8mTsvgzoMotXxosVjC3LDK5EicUzuSJRXhXggecGAPnZ1oEuw+kZ/DwVr93jtHJ4ynbuPHMCPnZ7i5EMUFK57GX1QhzPYK5alkskUdXhTouniiT1CFOPd71+yJ/f2ueJo3Vi5dOXkiDVzj0SyNSUzpPd0S5zMuxNu79V3beozOSpBi+3EO1oa+VKAlRqimGd+VwWkV/QyZget99nuViOEpNnIP/6631ZZ1fZnErgqTUYfJbnD9LvXLBp/zLAjxw7w6U7tzT+r19+/67T5xbyyVAZY1eBnZn0xUq71nU4/oUKMf54tfa+uEQROXDGxyHLEmNnQWY2tcnzsk1enfZWY+DO0vd+1pis7cyQvEUs6+lM3BGj/IhDZzy6UQDKc/LEjJXHjl+41RNSHWg05oW7bpwi8ePR9AVXbB3yxKGIVIcMdEAttTXbXmnfozhj8ZwtNVmQWTB5kUTJegi8fLCpfS2bTuZpXAeRQepiQkA2XSvNuvtzA6AILvPAc+z7zsCzqmGi6hyu4svxhpiiBDv7TAZMRHNietc1L/qXjV7nR/rNia0W4MdPnWNhaeX127es/7kHHn4Sz5PFoEiqbF3xuQ15MFB+P2KNN11m7+xnApvPKQOhAHbRx6hKrKgqQzUzkFPUSKsSqPPHLsmjcF64BbcFcDEUyC/LkzJ7K9fXGUQsdTX//W9aLA5qiNC38kSayqpSDM75OqItO79uHLEpuykudZ8kHhMNj598R5cvPTLB4iggkh4DKQlcD2Ux8sExeLmeXui8jNagHbi1K3EuOyvCMbjJg/QM7EoKx+BWEqW5i0IuUwodXrQTFjIlCzwLq7BybsZWuTLAxwm0sAmrj8GgdYQfzv7c0tz+e5O4/+mcwR999BnCWsCxYydRpAS+JGP5tWTJ+OOL3sa+4OpgxzHWpkhr2zl54xKlOpgmB7YUSFWMH1MlUHtS4jlJ4uUAzzS3zoNK39M5uH0vq7+osrevYoIg4qN3+jx9pA7SR0pJmJXGlqzNfI949yEvWk1Iweb5ThUlmZJo6TZ58rlmd5+3vqzDn99aQ3shAxkQSpEnfZQUxKWAbpzJRZnJTdVjzqWKAmXsqqCNnTOZzXZUbphqMVaimEVTTKa1fZxCVuVJ7qxUMFA8/0ZuZYeukvjJn0vSJGV+7hSp8UkTuzGEBzDR8qmFAa2GIvTtjmfaWR1ZcFldHsiL958V2CW3xL6cFeabVQNlKp5xHliKgs1zhvx6AJcFwFWphtpzdSk+uRTxVeGW+KXhQIXmtuzte3Zq1XJb87dfbrHQDqHm3BNRCsYuIlEQosrkZct13LYrTyVIMzfFY3pC8U9e1eczXx2y2AuJlMcglc6eFM69EUUzthxPrGhXgWdf0jmbZ+McBF7mrCj32I291m4cdnbeyyAXUpS677Mhnk6aVPS4GJMrogpwYRBmbbSb7IIYn7xQCjSNEcSRIkpCkrRGktp/y9t/4BDrZ6Z3fuWrD/7U3NwF6jUbd1YDzGpTwsWALaCY9ECxtFS+7BLQq4dYW6JkiZMKsKuzv8sdLna4O1VwZzsbZMytSsy9isGzcRPFyAlP2czlseOCgydqaEKE9PLm3KJ6sBw/iJKrUXz4tfMKoiRPRO5k5O1mqQfGY++OiN2bhyzur2PSwLJ4amWKV3JxCvYsF3o5wZ2V0YJ9njemuJVEFnMjy7GN0vai0W7njjyhJQsyysGthZulkmlyMSZVxBgeTP7kYoSeezAlLJYlitaQaJ+5uXmmZ6/6qd17X/LYmVNHjntxktIfjDbFiX7D3PwSnh+gtcnG3hVXjGPjrytNyjo7uxer7/NZIVRBXpUnIg8qs86VMrDze4UbBVz2wcuH29JalcFdArnbr953paEZeyv33PNilIr53NdaHFqoQ1DIE79kXVYuWFaPi1j1peXsWQ44s4xmVYtHkcel6yPefHOfB59pgPZJUqvF/dRld9OqVCqYs6xkHciNKUmUklyR7rF0q4rMDuG2pTH5uOVU2Q0P7PdicmIqEj7lx46lS+1tedtLGdzjwSdUyLUqU0oAN4CQ9LuLCNI36HS4CZMe95LE5LsDxInB800+a2MVW5uxP/aNALzygVa7C+WlazxAywAt1gB2zuZKlJpwS+B28wmLbTtYDWyvGBCUj3jztAN5YuWJiqk3Ir52QPHpLzcZDANoeHhS4IuqNBl//+XPvDYrjenvMcuw7IvHicdky+Ntrxxy61f7PHAgwDR9BmlIIMgvNJX//UIHl9bSHOTlLads8OkuMGXZPJVWj+sSa2dBvXbBpdSipL9FKdCtxlCF7i7iAvuaGAP6mnBaE3OF8SGKXxC4hJ1221ZqvCiOiaKYJE6B4gtaE+DVi6jyJirPxyzBynIk1pIo1YmmRXApctDk8/JUafcGJVxtSgHuAuRZ2azB84oRyp7bhMlTVaD7OVvbQykbYAZBRByl3Hpfg2dONsD3EVI5ULm5IaXgUsjqlzruGuVEkbFmZsWWMpnaZNv2ydwTT1OPKPK48pKEN76kx+PH64ySgFT6DLQiSBl7L5kXzhiD23sz9l5Q2cWm0UqgMokqBUaBNIUez1dUCVKXZhnqYtWQ4wAXF8NCxuDfeKazis3iEsj+htEpOo3ROsH760/cgqcU7U6HRs2vbLdRAfPfQZoUIB/fEmNt5q6COmPscoBZ7EBQSJOSVZgzdgbwYnJqLlEcc1vGNjlTe/l98dh3waWnYsIg4qkTgtu+2qA/CKDpI0VWOUjJHlwji1n6nGUqyGpRMp+1Okh+LOFTKsCKYp9WK+KNLx7xmbuHPH40BC9gqCWB0+JKg0ozu869h5RcHpCOGW+qcHI8RSFdpGXzbFXJgnxtLNilLhJtQpfdFPed64LZx3Mc4wAvk+Iqa3ktBl2lJAqJI0TAkUOPcfb0YbRO8ToriwghiOOEIJCuQ/vvd1udzCnfi8oVvCaLyxLYy5o7B7nV2+VsplKuwtBVFNp2LvfYK88HHwO3O/xsCq0r8PdUYg8vxvdjEpNyy7117nmqDjUPpG1o9kslvJXS2PJRfnIRBqrOQxelpnLh5vPJCtBHQ59XXNPnzS/t8/SJGkniY4RiIDz8lPw9ibRg8eItrM3k5SH2SjnLUFo2t88FUotch+d+f8bo2WrrGDwf2jkG7krAWQF5EXiuBfJvxJEuzqlkeblPpxNhjMFr1D2kEIyUIU0Faw/i+bsAfLXmzj+IeyLLAC+1dZV3FqgAuyJVymn60uF2LCiAXjq8YhPUDNB+CdSZc2IdE3uvVEzgxzx2XPKxO1tAANJHCJV3ESm3kaocY6fs8xTMIsYARiUTXDB3SYMbgU7dSDwjSvvEexjj8e5XD7jjviEPHbGTBGKt6KfCFXw50KWZHVeqAymgAFkGUFEFOrY2Hwd6Ld1+PllQnGlv6dhc2Pv8O9SlgZ2ydPFXEmCmhBFRPK6+yb9TcZbB7aCsFVJ5YDRe4Ml8bx1PlQrKS1/CmmC+yBvJwV3yOQvAl6asjunuQqoIlyworKcM4PmcvDLIXWtasdmUcWDPBuAX4K6wduk+a6zNpIpSCb6fEKcJdz1Q58nDdfB9kDa4DIQpTY4tB1ZiVWAlVp2hcnIiO8ei5GpQ1eKulU0r56ikHqPI5+rdQ17xQsvig9Sy+EgEDDV4qSgCvzSzCy2gColi30A1S52BGowEowzSCJTBZj+NQLhSVmlEIVVKQWXB3u571eULvzTXfTwPkmNkDS3+dbR5OeBMUvsRpQGMsB35WSgi3V+rpkqzn66N7JyjVsmTzBJyH6T0wXL7aswxqe4RM1Z/Isj33sl3L86abysND8XWJUqNgbs0FD93T1SK8koAdxIl8GIOnRN88NYWo9iHhu/kCXlrmirvEpxfuMVKVtEra9BOGehlmVLeHECbtbS4RzOUfN8b+9xyT5MDZ+zFl2pFP1W2yjB1yR+E1d+pG8uRw7l4VJYqYMGRXXDSaXSpDUba78hIYQGuS7FSxuS6HEutvbKV5Zt9bCokWGCoOHfPCvDSY61tPZIUVol4b3nLP9146NChX7z/gQdy0FUDy7E/WL2wSldY8U6qAeZYoFkCtqyAvLqVXbkyb7zISpZqP1TO3iVgyyy4rII7m+1X6G33WOpCe7vgMjIJn7yzyWOH6rbdR3goYTOXnqvBLjcXl2VK+YJ+1ltFgxdWYT7uTmsL7ArIJVp7REOfGy4f8I5X9/idDwcMtAfaIxaSgbYxgtSOTNJCFjLmrJhcj2SZQvu5jLKrijJgnPdtTAH+DNzSODIy1VUskyxVgK/tpmRxXxn05bqVMv6yizD7N1YrDAEm4uqrrvvFS3bu/lHv+ImTU8srnTcNBiPqtSBn8VX/s4t8WdU3UzB51fssHhcJgLJ7MlaDUgZOpQ7cVLR3DvSSJFEl7a3ynR5KG1EpMyZJskrBNAe378UcPCv5yJca2Pkrlr3zzv3s7wsq44Vl6XOXA01RfpLLkjHdq8u1IcVcwWyAaZoNN00VqXJaPPX4ztf0+dRdDfad9kFGGCEZpj4erl4kO9epg0KaJX4y5i5JJ9d7a7CzsbL3Jt1FKA1IY2VLBmJp7N8w2vnj2sobXVmdq2Afd9Q0Y69VmLtEnPn7vAjhOhmkk4jhsPOmuQunp7wkjtA6dnu/iDWZR1wE3atlyTjAM51VjqbHZElZx8rq4wqLC1MKLkuPc8Y2OYurMXDbiaza3Vs7UCmNyvxulaBkgnIMnqqEz97bZN+hQntLIa33nXfQXIShGH+eXfoV4i49rjYgVzzx0kQqT9tNBop9kaxUufKyEW95aY8jHwmJUgXCIxUeAyHwUmffkQW6maNS5j5ThMBOLxkjUMbkpaJGltg8O4QpUvwCtLTA15lMKfngZbCX2XsV2MtALuvui2jw1Ti1mEoNDEcJw+EIrxYqaoEdeuN5a38Z4wCvXGHlK630Rqp20PgHXJ0IWLu5ocra2fOMtTOwZ8ydA12VmbzQ3SoLImVJmshiaL5SKb4fc/Sc4n98coKh9MkmaBVd824FKddAlyVJcUKe9ZbXMudpckPWwlak7MsaXFTqU1LtkaQ+YZrwE2/v8Td3NThy1gMVO6niMxAClckTp8fzYHMM5Jk3bwDPlHpxEUjjJArGsXbmiesKm5uMQaVAmGL1WG0mrGbuMtirOFobzBd9Ddz2jHbnDM9Od7JbRitP5ldxmWZWAVxU/8VVm7K6J8UyVHrsqtzWYsAysMUYa2eJlCq4dSFRZJXBvYq/nenssv4uHdKyuO9FdCLNH39mgjNzISjPWYPSyRNT8b3zx+XPXmGp6vaBawKdklTJGw/KPZpZCl/mR94MIRVp4rF1dsSPvLXLb3wwoB3bqUfGSEZaWdswzd6HgVRQ+GQFyIv/2p8odxW6+U3FvSwcHylNweCm9N1l1aY5g1884MxwozNclTE0hrWqdLk4cUQxjCJ774WhtPvQBHYsmnZvfq2E/FpLR/Z6NSoeA3gJ3ONgGGfuDNgFa5tSsGnywDJrfM3875zJPe0YXefSxMoRXZIqGWMn+b2nYrww5hO3hPzRxycYad/KE6FyeZI3FY9ZYhXdnUuyMRa4yJeR4aqwCsugz1L2ptjkS5dS+NpuBV7zEn7snT0Ongj4s89aLQ6KVEiG2vZuypScwYsCrOzLKjIfZbvSgrqQLMY4NhdFoZglHVvqaiqJHytj8rp0hwddJrkKZkQVPyXsXAzU5VOcnUttyDfRHcYaLx9zpuxMwItP7BEVYI8/Hve9K8s2a0fTqwtzzJhEMaUg023RXd4yUBXFTkrpklTJwFxicllUB+a6O7+3swaXluFvvtRgeZSB2wLcl1Z7e6IqTyqrTmaXrfWFlL8ISvKEIpDLKuKq8oRi60U9VicuJUortPZIUo/JIOXtr+3zqXsbLHYVyBi0Isbq8fHqwtWic20mt3mgIimU1adkwaZxLJ4D2vnk2qz+zmVWKmvsaqJleYC+WRNLFbmyFv4YO7caktQWECaJxktTQ6IN2hS1FJV/rnxX1ttjVxoUGav8jcrVYF8VkJXbnkShswvgmIr2LvbDXB1UZsNpCnCnlQAzCzKzfW68Env7jYRbvlzjgSfr6JL2tk0NmTyp1pvkrVkl9q5YhKWfrU3ijj1LVmF5G+xyM4QpB51Gokzhiyepj6cTXnRNxLff1OcvPxeAikBIjBCMtIcSwm5BkgWaogD1uFyh5IOrrEcisw+z2hlZKhSTosBPCehCWEclOzc6I7GMrU32syKFf1HmFqtxN04e2duXwhbgeVLi9YeawVATxYYwHNNGa/6RNZ6LsS94DNR5xJxdBNIUUmWMsYUYY29RBXbhorjnyuC5EWNSOsdEGqerS5Ikc0xkSaJI656EfsyRk5IP3tLifDew+11LO+hdCYodG8bihVW6u5zIWOsLWItxMkCVmH3VVovZFoyVrnu7f469t9ufbGymfP+397j3yZAjFySIGFBoJEMhS5tIWVBloM5tzPIFV+bzPJvpvocymwv7OANzJluyldj+LJv9bv++Lq8k2XnL30fpcZnNAUoJoXFFkd0JYWfe1GuSel3iJakmSe38wYxR1xL5FwX7GKCz/00Z0AhKS2RVd2dLV37i8/rqEnOrDPBjIM9nZI8/TnPtnSd0snHAKkHJFM/ZgkEQM0o1f/DRCe55pG5726RntbeUtmtHFPNX8vearSzli3kNJi9/B6vIppLBLFyLYo/3cvlsuYzWtpvpzFFJNYn0UInHK54f8aPv7vArfxAwSqTVn1qSOFdFalF6bxbklREOxrakUXp/9nl5PJ/rrndJIBtgivwCyIPO/KI3Y07L6oCyjJ+LOSo8Ky4tudi8RDHlzLPd59KNBxgD+PiScbE/MvZGq2/SrCp+L1iwPNhnDfYu7T8v15In0uTd3nbbbF2SKKWxv5nudjOu8+BSJvhBwp0P+XzqngajyIe6l2vvnL3zwHZ15nLc/qqwCVnAuTZ9l4uEik7xMrjBqKzKsFornmqJ1FaqZEBPEo96I+Htrxhw+z0D7nhIWdsQCUISC49BtoqSsWBRkAWuBmVMk9ujVJci3fuUoNzny54bJ00yoGffrxHCMXcp2JWsSY5ZAn1cAo+T7HgeJn9uDEkKSQpevlWeb8cLrzLc1/gDYuwfHddOGTusZQOOs7go6+2ytyxLjkWmf/P91F2qPE/uZEAugO2pMaCrAtyeA3fgx6z0DLfc2+DAuZqVJsKWxIpMewtKE6TMKnDnny3//KIE9GfRJ8V3kafIK+WzZakylvgZrxeXUiF1itQe8chjz6aYb39Zjwf2BbQjl37VVo9HKLJ9ICTOG6+U0RZMZrDJnfyCdLMqlWtpK9g8kyou4SNcDXkOdEF5hETO4qZg+Bxbz6IMCgyWpFX+mk1YaW1IU7sF+igyeHZ/GqjZOTaV28VYey3AZ7puLf1tXyta4QqLrZosKQLMAtgFuDMfvAguZT6Y3VQYuxJQZomcsosibae8JuUvPlfnjz7ZwgjPnoAKe1Nob7nG+x5bbgsyWK0P12LvSiUf4/o7Y/LVrWz5prta2y3UpfXFldTEqY9Umh97W5/DZ33+6FMecVKAXCMYCYnS2SAJB+5ya1sOaqcrsItADn/hUvoZm+Mym8L+m8atziYHepb5dTlUUdLeogh6i9igIIuy7s5+Lztx48DPCg+iOGUUpUSxxgu8lNDT1ALLmuNb6awpVTLpsQZzV4FdzfJVGLwcVJZeyzzujNmLmXjO+x5zTLLeuzJzr7VnvXJ7z1gNHuMHMYfPSz51V5Nez4e6Ws3eec13aXURRYJHlD/72ONME349DjeFBijJgUyLi4p7YlzTQQ50Wdq+UVotLqVHHKe0mglve2WfW79S5/A5l1SwA6pJhWBg1xr7HrUDtynAbnJQO7eEUo14LklKYxuEZW/lQFjIkxLQZQFmObbK5+dOloA8hrEKBseINzuXxsAoSvPDa9QDopFH4LtWVC0qAK+yd/VqWtMxoQBx+WfFhyvJElEwezl4y4Y5qhKLlxM7UpQHs2fOia5styFLskRK55g4Jve8hFGsuf3+Jl961FULSt8CfIy9syIvJUQ1GKYcRI0x+diy+vVuOZvnqfvi0NplDzMnxW1FYnW3LmSKlqRColKJFop45PHa6yNe+6IBpz7vM9JWh7tKKBI8hgJbcYgLIYXIDews9aNK/JiBSEkH8uy3hCjI3tjv1AgXeJaBbgqW1rmsKzG3wJb1rkGgiCzRWB7iWayUxr05bawPjvBQXoC3cdO2lSga3er7wT+N4pRsQ7WCvi+iycfBXb4a89dX6/BstNd41rI8W3oVa+dAL3YZqDonVf2t8vR7WnqcIKXt1JFBwt0PBfzmByZJjVc4J1IhhLT7AIkiLV9l8LLjszZ7fwNJzNK3UnZQqin7slzRZFOvXDGWKByVXJNL640L7ZEkmiBI+fkf6HDgtMfdD0p0IBxk7QeItWJAWVCZkixZQ5PnXrhbbbP36wgr0+HCXQCaYpSEEcV3nK1uZgwj5caMXLZk2CsBey2wZzdtDEEQMDk5cesll2xfUddcub23sLB4RBt+NEmS/Ioqb2S7ZqXfeBp9/HW1dsFUVkdSTrvnPrcqvTZeHVgKKPOCqouAuyxVvEpCx/Zanl4S/OYHJ7n30abdlEcGriTWx5OCuoRQ4ja5qjYXrz5cA3Q+JKc6jEi5di+pxhqmS7q+eC5KF71Z+7zKYgUsWsJKUq/8MwPrZxJCz/DAEwErg1JtgQszsyniRcVhASCxCj7fyLJUHcxTyh3lxVz5tURJ4pTucY5SwczZvyeqIYKp/g1n59Co11heWvz+ffv3HfCGI3sl6LS4MisZybGZcmtHucXvWHvQVAKwbIsSIcsOypifXNkWoypN5BqaO9thYM1DlQNLVwrrHqdBygc/M8mnv9zE1BQIZdEpPISUlX7Lor/xWTrmS+yzShSWcFHRimPcuCYgxrrtxzt8tJsfaBxzG6OLGhUhkVqRCg85SHn7qwY8c9TnfX/iEYVJaQkWGO0zwjWeZPn11JrYBlMCpXG4c9lN7V4VFMGmcAEkls0zqzir387MBCMoOo2yFT61V5k0RWBZdehKCSAzFmCKQmYJYTc9CHy7unnjxYM5W48HkSVA58FBfhFUdXc5mBRlMJceF86JYXwEbwXsmd8tHMBL2rvC4DItOSllcKfIUu3JHQ+GfODzTYapm4IvMmvQZS2FqWjvNVPzZaCXz8944FkB+9rsZxwCMu95VUYTs6qE1shSZlOWnBWhbGGWdMVZUpNqj9DX/MCbe9z3eMAdj1q7MPPGkQJtPEbatqPlRSTj1qGTLrmUEgKFcaAugTxrenCuii6dvwLoWTq/IAljebFwWBxwCyKtEm2+yogsWwpZL2/WNSaFwPOc0andviprJXuKNGrJJViln0pAZxzYpeIkOeacZAAv24NlcItiZy+1Sofrqgc+zt4yLQJML6Y/gl//00mOngkxXrFbckV7ZxKpAuwxQK+xouXnpRK4jKO8CvLxTQSqGc1y8VVZj6+uTdHSVRzKMosrRKoRwkNGmku3xvzSD7W572dDukP3YbTM31eKxzDLsGQpR12A3O6c7UBtyB0W5QJKI8n3BDYi0+GFNl8L6EKCNKUUvRknCrMmoO1bNmPfg3BNGIY4ThEixRiNt2F2GikVw0GXbmfgunpKTbRlQI8zeEmCrPm8NAyyPDO6AH0pwFxTouiSD17axs6xec7cFdektDuv87w9LyZJ4fc+0eLR/TXrecuMuQvnxBdVWaJElbVFGexjzI2TZuWhm2vx9SomH3NOigYIimImY4uZVlUbCsvgedCppQV5KtHCHamTKlpzw96Yn/yONv/to1NEqWNxyKPCFMVIZ1rc5dpLIM8liihlOYXdoNeU2TxncUf8sqg/N2UQV1L37jwbMUauVeLEMb57OyUOcfLHaNbXmkxNtkjSFO/FL3sDtVqTk8ef4rEHbkV5QSHsRREyrJYrVfbOGF2681UGcvkDVGs5yhsYVWVJAfjq/owFe6eFLi8ndSqHCyxrKV+8P+TPPtGiPfCtB+g8b4Syuk1Us5blUl5Ved+r9XexslWnWBX7q40Beoy1V+G9AnRTclbKrO2mwmaSpJwEEtZGTKVCGm3rVRLFRE3zw+/s8/DTIbd/TUEjcUzt3qEUJFoyJIspCpAbbGksuW1pPW8Xq9qy3kzCaHLGzuRLxuhC4BqVKTkpJdlXVgvZ7zksyoy5K/q7ehJHw5gbnn8DNz7/OjrdLl7ge/i+Z9P1gd3I82LJnvKyUYB9LUmyNrALiWJKmnZMlpQkSSFTih12LcDTqt8trRUo833VbWApZYL0EvYf9/gfH5vg8GJgK3Cc323vZcHeJUeoAvK15ElFmoxNa1qtRqons5TYyUE+pruL2KhUljrukZs1CrGMzjeVFZlUEQYhPWRs2L0u4Sfe1eX4eY9DZwTGKwssAdIndSBnDOQOdQ7YTro44CnH7lmgmQeYGYuPS5fsvJUY3WTnVOJeN/nPs60FM7DnIC+XEhgYxjYl5Xk+Svl4WUeM72nCIEEbn3Q82TPO4OOSpBIYrJYiq7X3mDwpgVtkrFxmc1HS3Uq75+PJnALoSqVImRCECefbgl//kwk+dWcD46siHe+kyVrsrUoX4GrnpLpqjSd1yoxerKFVwFdO7RjYy19WtSalrMMzQJcD0KzzxzK4FNljF3ymmgSNL62r0h5Jfu63FBdWBIQlJBqBwcuZvJAn7kLL7h1rKwlGO/mSuylOD5eAm4FbpoXjskqWZEdaDeQpgT1j9tVZTEOqbTdPoosYRiol8fzgvFLitomJdQjSVXXPxTSpkj9bqsuu1I2UK/1KPnbmesjSzzLgZh53xSFRhTWY151kFYOrCqgK10RKC27fS4jQfPardb74YMPVmmSWoHQMnrF3sWtwed5g+SSvKostafGydBtn7lVMMw7ukiypzCnE7cmuyyAvmDvr9Mn0eKqzxE8ptW8k2ij3mn2cJB7CSF5/05C3vKRPIBJIEtClwyQYo0kMDDWMtCDSEGtBYiDJh/RD4vbYTLR1F4utCN1uFS4oTl1WNr/XdsyadvsC2WN8787y75QOY9yW5Nn5sCtckmjWr58B5G1hWDsvpULObNjDgafuOj4cJv89bGwmTnSlXFHIqi4uZxDLO96WQV0AW7uNSnUB+NLvlpM1lcKpXHOXve3ieSFFtGPr1D1PXbYyIRGaz9xV531/OsHpBR8CZZm7FFgKB+48azlW0ViRW5XZJ6IC4JzRs/+WpUoF82IV0NfCPSUwF/taFpIkB3w2AUvLUmOExOiiRsWm+G3nj05ti1s8Umyf0fzcD3V466v6+KIANjp2j1OMdiA3EBkL8sSBOdGCxBRATyuPy2DPdo+zzyv7cZri3oK6BPTSBVH5vdJFYLTJpxEIIdAm5dKdm0nT+L9/9vNfOn79tXvsHj0rXTtWod2DYSSoheViqLL3W7ZtCp1VbBdn8gBTjL2+2vcua3DL5mtqcKFL7F9IkTK4s4AyswR9P+XYguTPPtnkwJEQWioHtU3sWO2dSZO8z5Kx2vRx5i4fMgPyePZvjLkrzwsXZa1kj2VtPZbwKVwUmWf8qul7KSzIpTC5Ny4yZnf1BEJotFAIY0i1Rzwy7N0d8wNv7/LgkwHH50tLVR50WhmSIBgKG1ziRrgZbXIXxQhXVutqTyqOSh5IZiW2Vmpk5GFKwWihv6teeNl1yYLNXLtT/FuhB6Gn8WRMKhPAbUK1ZdtegqBGEqfMnTvurBxTKoqqJm3KQeVaeluUgS3KAC9vOVfW4mUHRee/mzN2+bEsCqjKjzP29lTKUlfwO/9zgrserRVVglnG0oFbSdwOxeUxyMWJVSUwr2ULrgX8cQv8G72Vu+srVYXlFHa24ZK2gNJuNqARJfCXMp1SGNtgoO251EK5hgOJQKGFJu1rXnX9iH/1ng7/4U+nWB4UbooVscKB3CORIndQMpCjLZDJqgq1q1XRDuilsRJZh5fJEzsmH+9WdlLG9XcOdneRZOUywgWu0ul5gFroc/nuHdx4w7X0+oPsGoV1MxvZuWvP7f3u4m8GYYgQzmsWqzW2HJciY88rlX/lwLCUbl8taYp6kkKbuzaz8RR8CdD2cVJJ6Ayl4Q8+2eRPPtGiG/u2kCpjbueaCGHHDGfOSaWoiiozVC7uMlOvCeZi97BvFOnj3fU5kLOfraq9qO45X/HGs9dKA4O0kaX2Ntv5o02xB2fLgx99Z5cfe3uXuk6wNRvZfVxocm1IDIycJo/dkRhBnEsJp8UrOnxcsjjpkbr556aQI6v0dz4TJntuXCVlVc/bf08ThiHn5xZ+c+/eK27funlTAfANGzbzmb9+Xz+Olo41atLthFAaalkGsuBZgS1FGdjV+u3K71YykVkCp6q7ZX44Z0SUGFxVmVvKBHzNM0d8/ur2Bp3YbZBJBmwvDzAFTprkh6lob1UC9MWyl7nsEKtfr2R8vwGkVzc2pfRY5HXh5V3v7EVQakou6+9VnT9F4JlqVQK5wmhFEitanuG7X9/jystHyLSsx8tgTwuQG2zQ6cCdmEyXFxq9qsFZfYz/vAx0c3GgZ0FmptWzQDRODEZ4nD2/eOzf/tyv97ds3VIAHOAFN7+Zm1/2T7lk5258FeXbfWQOSJmZpVrDLSkfquR8jANarhVY6srvyLFDqTFJskYq3vNTnj7q85O/Mc2Th0KMLwtZkjO4LNmCJh/kM75Tw1rW4FoypZLYEZSeib+bXDHVh1VffNwuLLbgrmziWurbzAcGGZn746Y0GUtr5ca/KVLjoSPFdZfFvP/nVrh69wjitAB5fsQO7NaGGzqHJdIO5M5hKTN5oqsgTkpsnrGyHg9Ey6+XHq9ieGMZPUkNcWroD1P27Lmc7/2e7+Dd7/wn+fnMm9QmJqbw/AaNekDoJ0hPVU584XWvpceLhI0oBabVIHXM7851uWZ1kkeXHltQi8z7VgWwpUvoeL6mayS//8kmj+0LSVWJtUVRbwIlW7AC6qpzkrHy+NzBVWMhKmAvWP1Zyk/WlCcVjJeymHmfZuX1MrOP1YwbO85Y66LYyGSZTeFCWCHddygRQiG0IUXjCcMNV474F2/r8fP/zaebCPApUpIa8pODItWCKGtjc1lM38UHWTNyltDPAmipAVEEoJnUL7R40YGfFV+JscdrF7LZBI8f1Nkwu55Ot78a4Er5eF54uF6vH2m16rvjeIQ2Kg9vi8lD1QxlFchVMFdrUspVg+W2tMIpEaWMpV0t0qpMyYJLkaLc4fkpfQ1/9qkmH/tik1EG5jHmRkhkZgvKQpqs2menzN7jjC0KYFeTOVV7sIrsrydPxtl7DBglHa4dGKqMXpYsxoFbIh3ghREIV6MijLRBmzH2sTYW5MY26gbC8K7X9tl3wuPPPtmiF2NPmN1as7h3DWyplmSbJ2ttbQ5b3WizlcqBNiMQVQJxBeRZzAP5ZKwcV2O1K0Uavzhpcaqp11vU640jtdA/PBoVzcW5RGlNbWPu9JdvqzcaH5qYWufYcYxxx2pFyjXa5bR6RbaosYCzLFlE5mmXLcCi5LUiU0rgztnbS+hG8CefbvIf/2SCuUU/r+0u15rYQ5TY26zKVq6a2VIu/2UM7OXnY6xd+Zl4dnBnX9Cqwv2Sk0IG+izLWJYkZX88S/xQlSxlZ6Wqy1Vlq0I7Ak6xaUbziz/U5gff1qUVJlbgmjGf3FifHKPR2urxIvhcQ4sbG1AmuTwpAsyKJCkFoVbCZFubV+WJGZMqo0gzu2GW1sTEhz7+t1+9bfeubasZPGdxv/45JeVbPc+7PkmyQqui4KpqCZrVDE55aS8uDDF+kQhd8cBFibmLgDNdE9xZf6WsGT79uQbv/eMJzi+5ZM4q9q5mLH1R7A6RsUrF84aLeN+iAt7xVLF9SXw9wv66bF6eW1iWKjDO3KUhmdq4qVLCbqMtCmALU3jiQmSsjbvP5IplcbRHHBk2T6f84g93WOxIPnRLC2oZg4sxJnfsjSTO3n+56MplYvOSWueZ52WzomDroqbbSZJsbx/jWJ9MypjK2qi1wQ98hBCPNZqNzxkGlXMqy0+2XPptHN1/+72DYfyQ1j5aF/9Q1TnRqxk8sxXVmJYeZ+Gcrc3qn4myBXhxcEuZokLN4dMef3lLk3PzQQFuMXZIiXCaO3NOPFcwNN6pU26EzsFMVZbkwaOj77L+/gZVSQ7mZ/15yfvWZVlSvhDy+yKrWXVVyoFnEXDmqfsSi6daWb2uFUkk2bw+5T3f1mf39gii1DF2xuRpKa1vmdyYwmEZaUFkIHZH5rIUGU9RWIh5QFmyDcuMbsacFxdkZydQCKgFijSOHvrY39x27w9+9+svDnAAVduNV9tNrFskaaEty6WrBbAzv9y5JmoM2JkUKP1+NSM5BvLM5xYaUdLeBbhdV3ygOXLW4/9+/xR3PlyzDZQVr7sqTTxBPgbCk6u19lrDfCq/Uxr3e7FKwkyjVC6M8d8Xa7sk2VVRmZNixu8Ly7AM5GJ2SvVn5aIsgwWPyVL6mTQZ88pTY1P5Wiv0UPCaFwz5tZ9sc+nWyDorxh265LLkIDerQe5kSm4lGlFJ5WfOS+6ulGpYUr22F15stejwKgzrp2pcf80lPO+qS1YRhTf+wq4rXoeUKho80qGz2HZLWNkqpHjNBYqi9Nq4NCkymOXX9OrHmTwRJWDLdOx5gvI1x+c8/v3vT/Kx2xtEwg2hE9X+ygzcEsveRZ33GttvC7NKkrAGOBkDboXRvx5xl3+4Vj2KjeFXaXF7XyqZzZ6X6sTtxWJcBjHLbBaNEFJbkGthJYyt2xBILW1WVJeXfStZEg01L+Hdr+uTavjl35vkxJxzVjLo6NRJFmP1g4OTNoLYnRAtBT6lVjfc6GW3mlKqPMy6fbLUflYyWx4BZ/8Adrc3N1Xr0p2b+e53viFKkpRf+pmvA/Bmaz1hrfmzM7M7r4p6J14l6BTVfnJcU5e0OKs191rgrgK7yFzKEnMroREyrUgWKe1GUSfmfX7+dyf5xB0NIum2NRZrHeWMZbVKMK85GZcmFGAvN14jxtm4ytaraPvvcRvHdbkufHXaPmN8k0sYMcbe2WuipMVt3YrM9bvOxsGSAdyCO6PHJDH4Xsp3v3GAp+AXfneKE3MBbg5z9SJ0FmB27jWSCMu6Rgi0NHjGynjliMfkI5ez7nqz2hZEuEGeJu/NUO4UG2OYnmyyd8+lX7505/afbXe6q87rKolSq7c4uv8LnbBWOxCEMi1vd62yedtleSHKmrtaFCWzlH/JMSmKpDJwpxVwywzcpcIqKROkSjm7pPjF35vkE7evAe5VtqAtQvKlZW+vxN5ijL0zMJf3DYJxKTLmf69JzqYK+r8DuscDzHFfvHhRoPPfteDN5I6mOkS/qDisSpa05KjklYellL5xmU5bXivxUnjX6wb8/36yzeaZOM9slrOc1UM7XW6lR5Tr8kKSJGOyJXuejsmYQocLW6abWskTu+GaQvlpvd448Fcfv60zNTmxDdJz6AAAJzZJREFU6tR6FzvnOmn/5GQreGE0TG9Q0qxiamAVc1/UWal43SX2FuVETyFHLNCzzpwUqTSJL/jjz7T42BcaRKoMaG/svgRusTpjuXZQmYG5AOha4yHK/vda+rrY8k78XfFdzWauSuqU29ZMJa2fWYLCMVphI9piprKTgvPEBbiCLecnu4KszCdPs9dQIA0iBY+Ud7+xz4FjHr/5ZxMkUMxyyyXKqk+FwYFYkDs9mWTU7p/IZEvmjevcNckaItzwfEPeBZQIgyckXth8YnG5+5Pr17XWPLdyrRd3X/kmGkEvndmwyzRqKYEfE3jFpKhysJg1H1T98TXckzygdEAu1ZWUa7pzG7AEbjzBbffW+chtDUb5RKEyoEvszbNIE4GdqDqmvSWlSQIl0JYTPhkpl7V2GdDZL6wqk/1GwF36xYpMoWD1Va6J6wdbVXHofOMiCC155KsC1NI4uHwHN5m7KTmba4VOJaE2fNcb+rzuJQNEqotaFTPWMFE5dJ6RjbWrYzEwMsI6LGNBaLlYK3FuS16DnjrPPYVhLBhqj6v27jbznTj9Z+9645rn96IMPrPt1Zh08BE9fOKKeHi2mUXdxhRfWTl1zxqed/FcO1bP2LnM3LokU1LnnjjnxNMID/72nho/+7tTPHM0dA3DawA7f35xaTI+46Q6DsJUAF1gtroV3rhuqaTux0D9dcE9lsZcLU9E4YFTDizHPPGsg91Umb58ryt6HJvdxFiNi0DgAk4jbRAnDForx/YgjMGkcO3umP/6f7b5GQW33NOwFKyofhCX6Ry/1HM3RxbMbVncrib2O7L6PGNvnZ1HJ8UyGRZrwe4tG3pve9PNH5lo1viVf7v2OZZc5FZr7jJJ74HfmZzZuxAGQ3w/ycehjTcjVDX3av/bsnqhtYu0u0Y4cIsSuJWwQ3yEB5++u87P//dJnjnmwL3K665KEyFdtpLSzgwOoIpxUD+L3FjLVWH1Uf0K12bjtdH9LK+P1ahkTkn5+bher6TsoZLFrGyDUmpSNmXtnWc7q/Zh1iGUZkweSa7aGfObP9Xmn7yibylY6zV0ePkorESwVYCJy35GDqxxxuir9HnG4PZ3olTQSwW9keam5+9Z+PQ9z/zOVXu2XfRUX5TBAWqTN6CTRZLunQyHI7JtpcujJOywRJfBdNlJIbM6lLKjonMtLjKtnevwNJcvSmSyBD59T51/93uTPHXkYuCWBXNTTeh4a7B21oVTGaD59cBexuyYhbhG8WAJ7RfZ2WENQI83eOdsnT0vyZB8WH7+e2U2N4WjItZi82qqv+yyYKTVuq5ORZe0ud15rzRZMIJrL435j/+yjTHw2TWZvHyJyuKHxn5nBkidQ5JmhOSeK2HjB+lck+xUG2ziqJ8YpibqvPKm3WyeneQ/PMvplc/yM1S4YySl/BdBY2cP3PjbErCFA62tPyk7I6uTOlKM1ZeIclVgIUuEtJr7lnvr/MLvTvLU0WBtcDPG3lK40Wtj4M5Zu2hJW0tjV1h6/LVCYpfuxyctFa+Vf+cbwHcO4vLzHNgVUZ41Q1T3siz3b2LEmmCu7hTBKlav1qw4LZ4nhCTG9XVmTJ5GgusujfnNf9Xm217Wd8kfvQZzJ1QSRGU2165ZOHda7H1kLFtnCaBiKKfzwrXhmis295QU/+La3VtGz3Z+n5XB03hJq9rVD6jJoD0697vNNE0rJbFyDc0tsirCMa0tssdSI9AVuSKctBFKY5Tg8/fV+JnfnuSZoy4Fv0pzZ/PlCnBLUU3olKsF19LelTrv8UQPGdjFGNhFheUzKAuK313F5mtomTEVUvqByAOy8VLaatBZ0uPliyHX4lkgaTV2we7C+eUSo7WdcZivyAKQbhME45jd1cM6TS6xGM7KbXWUcs2umP/0r9sYI7jt/2nvy6PkqO5zv3tvVfU2PTOaXbuE0IIkNkMEskGxLQyJMYYXY3B8iP3sY4cTiANeY4fYJuTZ2Pi9eA2ckEfsYHNiCPgAgndilhgwZrEAgyNAEiPJI9AuzWjW7umuujd/VN21qmdGGwP43XP6dPWtWz091d/99Xe/33KfzCNSZlPE1poy5z+n+gMTFcYGnvDxCPGOyh6JLbqH+G+zBNw5ItDV5ONzH1k7dOryeet37h9suLMrMIkFp/4cEK99//g4uZiV3l4fr8UaKmD81FNNOUwOnkpckOcU5471bpJYcUJjcP/nMzl85h+a8XKfjC+haXBbvFtn6EjunQ5/TQPYpCCZ4bEK5Ok+hd2MPmS9nkIzQWz1GydcB6cCtuLe6fqFOp7FUFQsy+3o5ipZgjS05GbSBK8RLJ9fx7c/PYh3/kEVTFpyblpt7lhv8zgJD0xmK08sel0kWUOJDg7E5aw9UccHz1lZZzy6eFZn6/4l87snvK8TUxTPx8jgNuSbF+0otq7cCjYDgnMAmoaoRASiHTMqvYxEinMrdcR0w0vJkAkIj+DBX+fwqW+1YHNfAFVmypD/rEUldIVQ03pLF3CqeA9s623RlUzKki675gIf5rEanEb3lKTCDPe98ljC5dsamHB4OJcyoiMZCoOayIUqtwCt090E13Er+jzLyPGM5UNRI1gyr44ffG4Qa1dVwSID2MLMDmqwAOXmeE1b6ogpSyg/c8TR01HG2auWbj11xfwdL23qQxD4E97bCQEef6kMA7se6RO8/snmthMA1FOFL82NnpRX0rLqBtcmkXowwsECAe4RPPxMHlf/nxZsfjWAyFxQsgRhkpa4Md764e5IPLFKIlIW3ZS3U4tNx2rb4BXWuPh8Y3iL1EHyUi4mjVOao8vlVmKZuUNToK22NTFg6uTEeG0C2VZPsja+SgM+tuhinGDJ3Dq+85lBvGtVFTQSSYAWN4CexdHNiRAZlj9WW+pCp8ZV6xHOPG0pxmvhJ+9Y90Sfxxgma95kA5pa5iOsj4B5pV2De8kvRfXZsz3aD88TYCRSvBtGBo88VtZbcXHNuQkRoDmB7Qc8PPl8gGv/qYzNfQFEkKVxmwtLqZrojT8DAniOBOhq3dn764gMwNuTQKHYkgvTmfXm5JDZJpb1n+Q+K3qS0GGtmkAFIGUV5QQxLDpJtHCLi0Np3zLeQ7nwE74tXYhEBXXp+HHBpQeSx9q5VFWkaUwYMCUAqXMsm1/H9z4ziK/ezPH0b3LYfgBAAH2BmsyubSVQqregAIn/CUEo6oRgOBJY0NGKVW874ZcfunD1ruGRCprLxUkBPqkFBwDPb8JY/yO9QVD+XkvnSgTeCHyvBs8LVbk0rWvbtQNV4oICd+IJzQls3unjuhvL+KtvtWDT9knA7cSZkIRv+8ZiUsZ4y3gTM5HBTBqeinqSSjIGyWAh5psYJ5yXE8E75ezJAH7Wa7eEhOX1BGw1Re7tAz0ZuMO7tW5OFafXJd+oVmCc8hNZlnzpvDq+//lBfPnKISyeXY9dj1aorWPF4ca01JMKWzUgGoeIxhFWKnjHqmVobi1/77b71/dOBdzAFCy4bLmm40DYjPWMHLg7RzZfxKINiLgX5+UJm60SaKutte9IRw/mBHp3+rjupjLuerCAakSB3BTAreoKat5tbxaVgBtOjRMzfxRp5USOS3MUwzq7lMShLoezsGwI+tQkcD2TisHYQVpEAjvZAMqy/rIfRuShad2TgkE0rk4bZ+9QEMETwNN4vLTeibriWnIQgIYc3W0RLju/glwA/N0/lrFlp59YcvWpYf1cEf1LosfInLQIf3D6YqxZdfzdZ56yaP3uA4NTvpdTsuAA4OXmA9HuvqDlvKs4a133Wn8O9bCKwKvF3NtQSYilqBj8mwlQH9iyI8C1NzXjroeKqCIL3DT9MLadMHm3jPdmRNcPZMrxlLbMUpky8Ww7eogdg+JYeAvYLkVRtGaKaM9aWCZfuBuDYg63pHFnUan6nChCWAqLs+h04lME19zcrLkiFRVbdTG9odqiR1WCHOe4eO0YvnrFEI6bXY8lkczIQ4erS8se1lBko1h+fIjjZuXW/c8L337Vzt37+k5cNHPKAJ+yBQcAlluCR554cHs+f/6Gm2+OLpjduR6f+cg4ij4QRV7sCCJCWXDlgpcZ9DmC3+328NWbyrjzwSLGQWO1xKj2qlDoglupzTEVMSMFsxaUpkSYrgwrFKeWQfRZ8qAJbptkOyB38HyoIeFaMYEyau4AqwKWAqWAXHNaE4I43lDrnKuLJxnxNA4I5MlePTrOhSZ70PPkWqmjJ9ycx+mMnFBQ6fTk8VfGQ46CJ3DJeyoAAb78/Wb07fYMSy5vmPy/jSDzKEJzroarLt2LP71gCUjpzA2bt/zH9pOX/fEh3dtDAjgAHBhbjKUz53+TN/cd9+TW/ksPDL+EUrvzbSh6Elt2UKAmKJ57IcBNdxbx7w8WUSNJ5q8F7gyKQqUkSJX19hK+naprAkcKdEEPDeJU3Ld5bICcqG9AfxeNVZQjaFocsbPpDTMvDPBbC07LLS/PCb1/PKDpSvKLwAUBk659U2qEjjHXPEgnTMTIhUo+plQ6f+Itf2ROsjwXhRFyjOPScyoAB268s4TfbAww7iQux1+A4QgCQVuxjv/xh204YfHy21FY/U2g95Bv65QpimwfOGcBbr3n3sF5i5d/fE5P7nEmCgjrgbLgCiSJG58woAKCH91fxEWfa8XtDxVRo1MEN7HBLeNM5MJSARoa6BKA0k2fVkhECtha2jM8lSbIXeveYE1p4ZUcAvgzPDxWZj1MC27nbuqxWhp0LbocY4fdGpQkpbGnHzqs1qyUZciKMmlZ2HmfQjBEEYEfCVx6TgX3/u8BfPR9YyjRKEn34cYHFcmN8wAawPOLGB4rP47Cyo9j5KeDhKw8ZIAfsgUHgBuuvhDbtj4xRtZeVsuP/TNGK3ti2ZDVk61FEyXFFxiJCP71nhL+9uYyDg4x6G3cssBNkdhhG5XQJR4sFzydOA3NfAtpvTN5uTEmFUBl0REz1oTYz6TB5lMNUK6pRGOcmxYbCeWwKUncp5KZTRoCkeqTCQ6phScHCCOp/pie6EWn3KJPVdEChQBPgrtiUFMuLTm36QqPq2d1Nke4/i+GwKjArfeUMFongM+NxRFDvDEvQaHcg1zH+2vrX6Bjq04573CgengAB4AF81ZACP7rAzves7raf18hR4ZAaQTIOBQm0LvHwz2PFnD9LWUcHPaMmsQZ4JYRZ26cSRIf7CcPTwLZLFZvWG8zvjvtfje4twtyE8wZ/RYXR8ZrE9NGH8k4agR4ifJMlYTY5zJjU4yJYMqHMbATF5FlySWoha5nIhDvfizitYpIwB3vzQmAUwXY+LuCEjwUe+FKhNEgJ/EJHgq0NUX4+8uHkfcF1j1SRO/eIBmEGAfEQ3s5hw/+8RmV+XNX/JrSQyYaqh32lcRrARfBNS3d537HKyyu8ii+gYxxeAHHky8HuPLrrbjmxmYcGPXSrncX3GpBaVATaOutPZVa85YBOFaJBzSw3i5wLdpi0xOYY5Hhsk/dDOdYTA5oC9zWdVknU4cK5fYlWRGGLqBNpUQrLqr0shtdaKglLl1RlW8dlYULCgFTXTHjVwiikKCtFOHrVwzh+38zgDOWV2OvZxRrjSyKcOaKudWPffDs75SK3jXdHdnpaFNphz81AHhBiQ/ve+havzDzhqAwt+Z7NQRBiCdeDPDXP2jFA08VMV53S6g1ArcDbEMStLbUprAWllIVUaA2d5iwwJ6he8tnA/gpaBrozrL0asjhrjZF434VAmuMU84a1ZUNarkAhQVKU1o0AA8JYFsC5G7CMnclwgzwc3OsfnDBNNg5RRQS5JjAeWdUcMNfDmD1iWNAvQ7Uali+qKe2aH7XDT/62RPXNjcVJ4wWnBSjR3IxAOT8oZqgM78R5HbVdu/eet1P7iD0zkdb8PwrubggjypmIfk01c8gsCVBYjxDJQ67ScPMUkqMKlTGwrJRhCBxAKsA7S48iWHVTQCbCIc9Gdz8zUOVWEz3RwroxFBOiHNOgt5QUzgBWOIUkgKFjjyUx8IGvDov9MLVoCxxCZS4gm0cBxPzEIp4h2VIFUXEHFwIAg5q+YLiHdJEDPa6AA0FzloZ4gefPYh/e7iCe5+YzRfMbbtu5pyZ/7Brz/7akeLzqKhcr275Ibra8yvuf/TVF/7sC0+x0XoxyZ00VscWqkxQp3MqkcSZ+DTh3iQOlWRZYKc6gpAax0T1OZafIrUYjXew0A4epjJ/iHGdcZz0k6SfJYsv+R7xM0kcT/Hik8nrzfcxn62++PMy1Wd+fuH8T7ogk7Ubh1Osyd5J2tm0wD2WFRDksdtv1Y80qgK7QXZOFldcjSGJXUompcRFLogwPFbDf266ONoxeMLJeW/kxU/+6YePGJtHbMEBYDRajqBlxisimHXFBe+bcdPtDzxH4/IGMmKMQ9slg0tYQDecOZJvIwE0tffRca23FQILZFtw8xmuZSfaMDu0w73Osg6T8BKtsNgXW3q22+ecMxeTII4zR42NL7QSk4lhkYlIW3rAGWcsSJFUx0r25JFjTEsulHKCWE0RPKFTVGnv8cJT9uvfNrmglrw84hTVcYJi2xq+9syTr3iub+Urc2a8djSgeWQcXLZlS87AL9aj9id/tOaW1uamzy5fMBMQDGA5xOUdUtCAoicudSF6UaniuqGdOGlPZZpjpwHcYIFpgs+5zuYaNkDTKom9hfdRa45vXmScS1EMGFq2q2+r1xNp3SYnt1PfAOcayclhv6ddylkf2x+fxIU+Qx/VqoeaWIix8dbPNneed8vbl/XXFh9/5lG5hUcF4ADw7lVL8Mrv9kTXXvneLVd9+OzhxbNakqIyRJdHVQAw+beTvACZgGonMEiHjlyG2qlnGUnExgI01QfjoyA9KeJTBv82rpFWm2QB33x9CDjPTE+z+ohmerAXi+YkSKW6qQWnybsNnRv25IivkQCFAXxYwDW3D7dzPXXgnZ4A1MoV1aHT8fdSDwnqoge5GRcMN/d8eEu9sjPKlU86WrA8egAHgNZyAUODo+v+5NzTrrzqz97dv7CjCJ+PgfFxIHKoimm9kxgEGTjlGXx6ojiTlAwIpK10hlWHNQFIymqb76E6kPH6SG9YI+9l8s5poJt6uRwjwWpTgFSqm6mcoLEVT1t8DWqTXrgpbunXjnWHBrfnhfBYDYJXQLxWlLsv6i+1vePKWm14HWGlownJo8PBZevqaAEA7Ng79OMPvf8sz/NHvrll8x2du/f04/5fNaG/ktMrOJOHQwNXLSKh401UdCAkx86mLWkwpxMaJHwsZcSAlQVsTADypE/Ni0agn2AWiEanXT7e4DnFo4ltkc3Aqli80AqJDsYynD1y0hi8nENo1UQIUBPkgL5Gej1BEm9mfCOJoLFPNZlllEYYqkS4+5d5cHTjgvdcsG/GrLV/jaj24yA/72jCEcBRBrhss7uaIcSeH17+obMohl68/sDu+zoPDhPc/ysfnMlvVUuDUvEwU8/UfvHJcCs6sIFlth9i0jFyQZvyXFrI1VbesvCw3fKN6MkhW3l3kZnluUxeExfwEtzEALC52Ew8uXrh6UiLEMkCUi84WTKTLP1dApxIl71cVBJQGjvpaUJROADCROzSJwD1OB5/IYcvfq8b71x73r61f3TBlzb3RT9cumDGsYDi0aUoZiOkG6N71t0yVun6QqF5UX9HSy3eJkP+WZoGtwqikrQE2kK7xXtM7m1uP5JaXAJp600S0GZYYDkoZeWJA+oMdOuhqZOTNssqGq/1gCx+TaxnV6mwqYjBx13HkLAXg+YzR5Y3M+M6a4Fp7v1DtYMIgKACuwYoFs09rn/h3LYv/N+fPXzL0gXNxwqGxw7gANDU8zEUm/fdKrzFn1r9tuOH/UIIMzOeEoKAADkS776gwI00FYmteHprEQVeaeENT6bLo9PRg8a1cI4NvEzZCrugnMqFE1xDrDF62riKhBlxaC00XUeQEYkIi2NrwJoTwIpKTN5fuultRUV/LunFtB5RLAdCUAwPctSwbHjxifM+9bsdA7def9WFRxl1djumAAeAvXs9Xuoo3z5r5qJPnLpyaZWEBGAePEpQoECeAjkqUpVgU/Hczp6VlqseTt4lMiYB0pNBAclaYBqauAkr4YxXxzYiXZ4/WbOEEMeNKZwxrpdTu9yd6zLc/Jan0lVVoJUVe2vwRnIilKISv72prFBVgzzkDGHkoc49hJEXF9TPn1TtaFv4iShsun3Z7MoRueGn0o5YCJhK+/Ov3IKZ7XnWu2P0olf6+n/y/Ms78sUche9YVPmBJOc2vZTMkgzjc+YkMGNU3MnhejDNtDRJe+QYeU6fJ8Z5YvXL8USd033U8GIS41pKieUtTX0+5dU0HFqGF1O/Fva4lHcz+QVUapS81vZeKmOhdu/QY6ytZWSftWGv3udU/mqmACaVEzaOUvOCaqGp57JcS/vd0dhw5LV/fooIOvw2eWGJo9CeffReLHnHJWLeqhM3lsarm5rz9PzBAwf9PNN5lSbMJcCtkg/UeZ0CbYNjak8CBVp3PLX7NfCIESKjwWrGq6hrVb/5nNWHho8YFLYcCncc9FiadLhUy140u+czyl4Q/Ws1oTdX/V29DoLz+c2EhyiiiCIgKC4e8/ILPlqes+yukb0DvND96dcDeq8PwAHguV/cidNPfBeGt216adHiedvyHs4ZGhrOkySLw6hdqgFuAN2MK1FJDtQFtJgU6MQFNzW/LCPGxAEjlVafOv1U77Km3/swAA73dcY4kIxxJiBJCqiqZqLuTeWhgminFszroUFs/R2iF/iQ5w0LLkAQRQz1kCIMPfiFhYNBYf7l27fvvd0HQdv8v3i9YPf6ARwAnnz4Tpz7gY9j0ezWDbN7ZuxcNL9rTf/B4eLAUAUcFKFQ6ykFYJW5Y1hiRtPgZc7mUbbFljw+20rrxakNKjWWamDTFEgzwEztPkoyAO4AFcb/MhH4TSvsWvascAML8NB9FpCVpdclnyk08OUbq3HqfupiT3rDsdiChyEgWCea2s84EBTmXM1Fy23lMsWsJZe/npA7Njr4RO1bX/4oAGDvvoO3Br7nzZvT9Y1/vO2Rzt5dI+CMgUIgR/VOWqYb3lxYusnE6guUXxjN+EKcz0KsZ9s1D+M6e7QJOKev0T/d8IQ9xNK2k6ak7kT/Jub7GTq4KYlLJ5By7Dj/u0gCqrQuDuVplOc4EO+bo67Re1NSI2NIWXNZ+AkAIXWIXDfK3efua5u55ouCh7fmCjOODaAmacdcRWnUujpbQRj5l0suPPtLH73kXftK5TxGR8dRCeM6dPJmmqBTVtm1zFIWhG31AH2cAnEjXmtZPuMzmG509VMM/a7Gz/dhN+UGd+JDss5bY4k1TmSOMXTzlC5uSoPEGOvsEOFUpUVCK2VIrMdC5IJhlMsBuuadu69j1ru+RAn9l+kCNzANFtxsLeUS9g2M3nLxe1eFoYi+ffO/PTqjd88YahwoMA06M8khFZui8lqQXoyRdF8WeAFnYQX98w3Y/a5ObfVlgHsiwKtkhIZ9OqnYOp/8Lcu6J39LqGt0nUFA51xKKx9367IUyq2fVJjSZ4iuEqG2do8VIy4IWGL5KeXwWYhCqRNB2/sH/PKaz4PU/5XQlmnBlmzTCnAA6JxRQqVa/fGHz1/Vv6F356LTI3bDT+9/xq9TgiIjinMzg4dL0OutUwyLbrw3gXYSKevdAPBAJj4tq26OmXyjQIJJhwBWbPhEYyQoLXaSZMeY4xT4k2NBNB2JXfPx1Qr4kFRLKEcONcAtxwoKUBC1SSwhAOUyOJyDkDpyM9bUfR9f8Mrv3gLadD8h+WMFmym3aQc4ABTyef7w05vWXXvlRcGjz/SOFQP/xocee56gVqEsAbhn6MMmt5ZPFp2QjwwLTpGeBBYWM4FPMiZCBjIFUhNhKi2TX2cOhCoJoSyxBHJiSQEH3CJNXWyubqSoERLvpgaovyCSD0aiJG6FAiLZD4lxjogDOVrkhbazhV9a8Zd++cQfhdUdtaB0yusHoAnaGwLgALD2jKV48MmNtWULe35cqdYf4dWxD+54bff/2v7qTniUwmNaFgQc752D8JQmbDh2zBngAlgDPW2fJwSsQysOl4ZPwZhPeJ1Qx3IS6Mkgx8XxJYmhkBRF2BMEiqBoeiP7qczSSb6AQtNsBOWurwSlxf9Og7mvjo/trBWaTz3MO3D025EsiY5Z+/vv3oW2rh6259XffWXnzj3XbN22nYX1cTBG1Rdp5VBAU5S091Lr11aNQpPWmNo4tV+bE0Rq3lkaudbEDVmQ2pp4+j3sxbLO8zT/F5Fx3lGWrEW3sH7p7HBi8720Z5KZnk/jWP9K6KSHGDQRgsBHW+fsqNzc+bU5s7uv27d/IOpZdNl0QyfVXlcdfKrtF/9xB9699nxxzdWXPnLf3bflfIZVgwcPelFYgxA8WUBppcDl1rbrO+21tL1xxAJPljOGksn0b7OvkWNnYkcPzdK/GyyU3b8JZCyg1bXpsfoHS3Mzt6gBNbicEARRRFEPgZB78HNtmDlv9fjCEy78Vsfss778iY+9X8xefOQJwseivSEtuGwDB4fAwwiEkutf2rR19W23r6Mjo9XVO3b1e5Fg8a65CcDtLPRkUaqsqFyUpqVEZXEdD6btCCIZlt22zEdqwU2AuxZcjc+y7FnxKPI6uSiHbcXl/SJGTApLHtR4JslitV4nqFQBL9ceMq/w5PJT3svbuxY+KTi+xDyCXP7YhbseaXtDA9xsP/npPQgCrzw4OHLzhpf7LtmweTcdGKrA91kcjEWFUlokX2eEWO5807KpRShIGmAmkBUg07TFBTiRAVdHGeBpOuPQEiO9j9CkXLQsIaH+Z2cvIkllFKg5PCbAmD4mJK7XLWgJnM3jpZbj7ghypT/nUTh88unnTzckptTeNAAHgE2vbEW5lO/YtGXnVfc9+OzKnXsHL/rNf/WilPeQDwh8pgHuMaLjV6jxz+pf5UyA2+A2AOqANWsBa1lwatIak+MTB6yTcXDHihPD+joAN729cV0TcyLHltz+FUuMAosB7clnL4JH6/BoDeW2xaB++93NHWduyJfmfDeKKvs7uhZMNxSm3N5UAJftxc3b0dbSNP9Xz2z6zvrfbL7oqfUbMDw0iGKeIR9QBXAtLcKUOdTqtCHAjQI/llV3JoF5vQQ4tSy+PoYLcDigNq23SauQYbHl4tH0CxhhsY0Anl6Ux9bbYwK+x+F5Ah6rw2c1lEpNaO9Zgea2ZXc3zVhxdVgf6SuWF0z3V3/I7U0JcAB4ddcBBL5//Asvbj1peHjkqude2Ljm+d9uwsjwEIoFD4FH4DHNwwGomA1u7AticnAz5tuMDXcXdlkAj8dTK+w2HV2YBrgFUmtxnAFwmLTEiZ40qlrJTbjkpACc9DRomsKogOfFAPfpOEpNJXTNXIq2rqWPBbnid5taj/8t5/XeIN813V/5YbU3jA5+qG3uzHYA6BVC9ALYEIX1matPW/ZPz//XxuPXP/tbRkQIRil8j0g1F5wnBUxNiZEkSnHibNHNzrFM1qi2yu0I12SK5iLLRU+m8J5WQJXpwCG6L73OMLTtJGMnSuqeUEIQUQ4hOHzPQ8/8k6OuniW9ELXLO+es2QVg82TVu97o7c396Y22Z+8BhGE0f/OW7bPzOe/OBx56rHnXzh2lSmUMjMbb6NVDgXoEhJHcukNbVanAMJYcS0tOjD3oDeVF8VqiLTilVMuKNEMWhPPapSamFVeW3fbcWtbfoCbxAlsuEqHUEJLEn3BOEEYEtTpBLYyTEAg4mpqK6OnpGT3hpLOGCOoXt86Yt4NQ2lew96V507Y3rQV3W3dXOzjnfbNmdr46ODS8wiM4U4D/8+ZXesPe3t62vfsOlEfG6qjUIozXBUiyxz1jiLP9pUsaaRApgAPKpGYGSsG2GMR4qA7nAhkkNakb0+TRyozrchAG6wIAS/4jBOCEx3mSkYda3UOp3DY8f8Fx/fPmL/I8Rj7Z3rnwqVy+aVAIcErfMnZv+sJlj8k/QykIIXx0ZGRg3txZP29taV5y20/vWvSRyz70tbPfserFObN6nm9qaq56fhFjlQi1OkcYCnAuFNBicBtVYpU1Jxa41bNRgljzeu1ksayugWAzYdgCpzGZTMtvNk014ofy6srs+2Sn6Vjui5AL6mhpDtDc3FQtt3Q/f/zS014857wPfO3xR+9ZVCiWl7S0zfr56OjoACHkLQVueTvf0m379u3wPI88/qsnMFIhrFAs3TgwWF3y0qZtZ+3evZvVa9WklnUd+cBDLqBgjMQyY0JTVFKAAIRVsIRYFIdRGh8znaMppUK3yQll0hLGnMhJKlIA58Lw4BJJqxArIQxgLILHQhTyDLmAoFgMMKOtM2ppW/A4R2nzyEjlir0HEJ186hmIolDMmj13ur+iY9re8gB32979B1HI52bs2rP/63f87IGgd2tf1FIuvM2jOK2/fz+qlTEEPkE+58cgZ7HPmovY0kdc2ACjsd4ec/d4cjBGrLrhxJkgKqqP6HBgmuj3jMWRk4wJxcUlheECiCIkiQdIFoo8cXJF8D2OcrmI9vY2+J54lmDsufbOeWzRCWtrxVLH30Th+ECQnzHdX8Hr2n7vAO62+/7fIwDBmnqtdm6lMnpxtVpZWhuvYtu2LQA46rUawjBMFqZxkH8UxSCVZSIYJcrqe4zC84jqk4tIYVIKLuKkBCT0J9HsPS8GuZ9YZGnR5Q9AGAHjNYHKeIQwBChjKBRyyOc8HHfcQjQVCygU85uaSsU7/cB/AAKPLV6+Zrpv8bS2t8wi83Db+977TgB47MCB/scA/DIMw0UDAwO8/8Be3tnVvrCrs+OLr732GgQo+rbvwo5d+xGGAAiQCzx4XpxASgiBoHGqQKyHE2WNCYmzYYQAQi4QRhyci3iCiLh0hiAEgsfx1oCOBGRUAAgT4k1QKrWho7sL1fEQM2fNxsjQwDdGRwa2rTxpNW1taaWM+VsA/LypuXW6b+0bov3eW/BGrb9/P4IgaN2zZ/eajRs3QnBSJyz4dK3O31MPOaIowtO/fg5jYyMIfIbAJzHYRQgiIgQeEPgEvhfTDc6BsSowNMpRqUbgQoBRAs8jCHyKwGdoKgYoFn34noDvCQQeR3O5hIXHnwJKKSJBEUX0wYOD49+u1SN/ydJl6O7ueaxWqx3s7OyY7lv2hmy/9xa8UWtr6wCAgwDuBYAdO3cBIBvDMOyOOHi9XseLL29GbbwK3/fg+QRRWKufuer0a6vVsfcREdaDAPC9eH8hABitEgwMRahUIwjE1CbwKTxKUCzm/JaWpvte2fj8tZ4X+LHrnKNYbMLc+SeAeT4ECCWE7QGwra29Z7pv0Zui/X8LfhTb008/BUJI9/59e1sErwnfJ/A9AS9JoB4bB/oHOarjEQSJeXqQ8PVSMUd6enoGhRB7Tjt91XT/K2+Z9t/rkVfp2yaNEwAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzozODo1OCswMDowMFKmpEEAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6Mzg6NTgrMDA6MDAj+xz9AAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 13514364
{'hecke_orbit_code': 1718003696712, 'n': 1, 'trace_an': 32}
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id: 13514365
{'hecke_orbit_code': 1718003696712, 'n': 2, 'trace_an': 0}
-
id: 13514366
{'hecke_orbit_code': 1718003696712, 'n': 3, 'trace_an': -2}
-
id: 13514367
{'hecke_orbit_code': 1718003696712, 'n': 4, 'trace_an': 2}
-
id: 13514368
{'hecke_orbit_code': 1718003696712, 'n': 5, 'trace_an': 0}
-
id: 13514369
{'hecke_orbit_code': 1718003696712, 'n': 6, 'trace_an': -2}
-
id: 13514370
{'hecke_orbit_code': 1718003696712, 'n': 7, 'trace_an': 0}
-
id: 13514371
{'hecke_orbit_code': 1718003696712, 'n': 8, 'trace_an': 0}
-
id: 13514372
{'hecke_orbit_code': 1718003696712, 'n': 9, 'trace_an': 0}
-
id: 13514373
{'hecke_orbit_code': 1718003696712, 'n': 10, 'trace_an': 0}
-
id: 13514374
{'hecke_orbit_code': 1718003696712, 'n': 11, 'trace_an': 0}
-
id: 13514375
{'hecke_orbit_code': 1718003696712, 'n': 12, 'trace_an': -32}
-
id: 13514376
{'hecke_orbit_code': 1718003696712, 'n': 13, 'trace_an': 0}
-
id: 13514377
{'hecke_orbit_code': 1718003696712, 'n': 14, 'trace_an': 0}
-
id: 13514378
{'hecke_orbit_code': 1718003696712, 'n': 15, 'trace_an': 0}
-
id: 13514379
{'hecke_orbit_code': 1718003696712, 'n': 16, 'trace_an': -2}
-
id: 13514380
{'hecke_orbit_code': 1718003696712, 'n': 17, 'trace_an': 0}
-
id: 13514381
{'hecke_orbit_code': 1718003696712, 'n': 18, 'trace_an': -2}
-
id: 13514382
{'hecke_orbit_code': 1718003696712, 'n': 19, 'trace_an': 0}
-
id: 13514383
{'hecke_orbit_code': 1718003696712, 'n': 20, 'trace_an': 0}
-
id: 13514384
{'hecke_orbit_code': 1718003696712, 'n': 21, 'trace_an': 0}
-
id: 13514385
{'hecke_orbit_code': 1718003696712, 'n': 22, 'trace_an': -4}
-
id: 13514386
{'hecke_orbit_code': 1718003696712, 'n': 23, 'trace_an': 0}
-
id: 13514387
{'hecke_orbit_code': 1718003696712, 'n': 24, 'trace_an': 2}
-
id: 13514388
{'hecke_orbit_code': 1718003696712, 'n': 25, 'trace_an': 0}
-
id: 13514389
{'hecke_orbit_code': 1718003696712, 'n': 26, 'trace_an': 0}
-
id: 13514390
{'hecke_orbit_code': 1718003696712, 'n': 27, 'trace_an': 0}
-
id: 13514391
{'hecke_orbit_code': 1718003696712, 'n': 28, 'trace_an': 0}
-
id: 13514392
{'hecke_orbit_code': 1718003696712, 'n': 29, 'trace_an': 0}
-
id: 13514393
{'hecke_orbit_code': 1718003696712, 'n': 30, 'trace_an': 0}
-
id: 13514394
{'hecke_orbit_code': 1718003696712, 'n': 31, 'trace_an': 0}
-
id: 13514395
{'hecke_orbit_code': 1718003696712, 'n': 32, 'trace_an': 0}
-
id: 13514396
{'hecke_orbit_code': 1718003696712, 'n': 33, 'trace_an': 4}
-
id: 13514397
{'hecke_orbit_code': 1718003696712, 'n': 34, 'trace_an': 0}
-
id: 13514398
{'hecke_orbit_code': 1718003696712, 'n': 35, 'trace_an': 0}
-
id: 13514399
{'hecke_orbit_code': 1718003696712, 'n': 36, 'trace_an': 0}
-
id: 13514400
{'hecke_orbit_code': 1718003696712, 'n': 37, 'trace_an': 0}
-
id: 13514401
{'hecke_orbit_code': 1718003696712, 'n': 38, 'trace_an': 0}
-
id: 13514402
{'hecke_orbit_code': 1718003696712, 'n': 39, 'trace_an': 0}
-
id: 13514403
{'hecke_orbit_code': 1718003696712, 'n': 40, 'trace_an': 0}
-
id: 13514404
{'hecke_orbit_code': 1718003696712, 'n': 41, 'trace_an': -2}
-
id: 13514405
{'hecke_orbit_code': 1718003696712, 'n': 42, 'trace_an': 0}
-
id: 13514406
{'hecke_orbit_code': 1718003696712, 'n': 43, 'trace_an': 2}
-
id: 13514407
{'hecke_orbit_code': 1718003696712, 'n': 44, 'trace_an': 0}
-
id: 13514408
{'hecke_orbit_code': 1718003696712, 'n': 45, 'trace_an': 0}
-
id: 13514409
{'hecke_orbit_code': 1718003696712, 'n': 46, 'trace_an': 0}
-
id: 13514410
{'hecke_orbit_code': 1718003696712, 'n': 47, 'trace_an': 0}
-
id: 13514411
{'hecke_orbit_code': 1718003696712, 'n': 48, 'trace_an': -2}
-
id: 13514412
{'hecke_orbit_code': 1718003696712, 'n': 49, 'trace_an': 2}
-
id: 13514413
{'hecke_orbit_code': 1718003696712, 'n': 50, 'trace_an': 2}
-
id: 13514414
{'hecke_orbit_code': 1718003696712, 'n': 51, 'trace_an': 0}
-
id: 13514415
{'hecke_orbit_code': 1718003696712, 'n': 52, 'trace_an': 0}
-
id: 13514416
{'hecke_orbit_code': 1718003696712, 'n': 53, 'trace_an': 0}
-
id: 13514417
{'hecke_orbit_code': 1718003696712, 'n': 54, 'trace_an': 0}
-
id: 13514418
{'hecke_orbit_code': 1718003696712, 'n': 55, 'trace_an': 0}
-
id: 13514419
{'hecke_orbit_code': 1718003696712, 'n': 56, 'trace_an': 0}
-
id: 13514420
{'hecke_orbit_code': 1718003696712, 'n': 57, 'trace_an': 0}
-
id: 13514421
{'hecke_orbit_code': 1718003696712, 'n': 58, 'trace_an': 0}
-
id: 13514422
{'hecke_orbit_code': 1718003696712, 'n': 59, 'trace_an': -4}
-
id: 13514423
{'hecke_orbit_code': 1718003696712, 'n': 60, 'trace_an': 0}
-
id: 13514424
{'hecke_orbit_code': 1718003696712, 'n': 61, 'trace_an': 0}
-
id: 13514425
{'hecke_orbit_code': 1718003696712, 'n': 62, 'trace_an': 0}
-
id: 13514426
{'hecke_orbit_code': 1718003696712, 'n': 63, 'trace_an': 0}
-
id: 13514427
{'hecke_orbit_code': 1718003696712, 'n': 64, 'trace_an': 2}
-
id: 13514428
{'hecke_orbit_code': 1718003696712, 'n': 65, 'trace_an': 0}
-
id: 13514429
{'hecke_orbit_code': 1718003696712, 'n': 66, 'trace_an': -4}
-
id: 13514430
{'hecke_orbit_code': 1718003696712, 'n': 67, 'trace_an': 2}
-
id: 13514431
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