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mf_newforms • Show schema
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{'Nk2': 2016, 'analytic_conductor': 1.0061150654681328, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 504, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 48, 'char_orbit_label': 'bv', 'char_order': 6, 'char_parity': -1, 'char_values': [2016, 6, [127, 1765, 1793, 577], [6, 3, 4, 3]], 'cm_discs': [-56], 'conrey_index': 1105, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, 0, 3, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9010429086926816, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 56, 8, -1, 2, -56], [1, 1, 7, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 9, 3, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2016, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.0061150654681328, 'char_conductor': 504, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 48, 'char_orbit_label': 'bv', 'char_order': 6, 'char_parity': -1, 'char_values': [2016, 6, [127, 1765, 1793, 577], [6, 3, 4, 3]], 'conrey_index': 1105, 'cusp_dim': 32, 'dihedral_dim': 8, 'dim': 8, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_orbit_code': 3229832185824, 'hecke_orbit_dims': [2, 2, 4], 'label': '2016.1.bv', 'level': 2016, '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, 3, 7], 'level_radical': 42, 'mf_dim': 64, 'mf_new_dim': 16, 'num_forms': 3, 'prim_orbit_index': 40, 'relative_dim': 4, 's4_dim': 0, 'sturm_bound': 384, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 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, 0, 0, 0, 4, 0, 0, 0, 0, 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, 0, 8, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 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, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 42219025
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1777, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1777.1', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 42219026
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 13, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.13.2', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 42219027
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1777, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1777.2', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 1}
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id: 42219028
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 13, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.13.1', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 42219029
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1777, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1777.2', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42219030
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1105, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1105.2', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 42219031
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 685, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.685.1', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42219032
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 685, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.685.2', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42219033
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 3253, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.3253.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 42219034
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 3253, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.3253.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42219035
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2677, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2677.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 42219036
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2677, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2677.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 1}
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id: 42219037
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 13, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.13.1', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 1}
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id: 42219038
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.349.1', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 42219039
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.181.1', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42219040
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 3253, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.3253.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 42219041
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 3253, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.3253.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '56.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42219042
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1777, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1777.1', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 1}
-
id: 42219043
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2677, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2677.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 1}
-
id: 42219044
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 13, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.13.2', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 1}
-
id: 42219045
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2677, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2677.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '56.51', 'twisting_conrey_index': 51, 'weight': 1}
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id: 42219046
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1105, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1105.1', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 1}
-
id: 42219047
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.181.2', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '72.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42219048
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.349.2', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 1}
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id: 42219049
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1105, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1105.1', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 1}
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id: 42219050
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 685, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.685.2', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 1}
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id: 42219051
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 685, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.685.1', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '168.83', 'twisting_conrey_index': 83, 'weight': 1}
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id: 42219052
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1501, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.1501.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '252.79', 'twisting_conrey_index': 79, 'weight': 1}
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id: 42219053
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.181.2', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '252.83', 'twisting_conrey_index': 83, 'weight': 1}
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id: 42219054
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2077, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2077.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '252.115', 'twisting_conrey_index': 115, 'weight': 1}
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id: 42219055
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2077, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2077.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '252.151', 'twisting_conrey_index': 151, 'weight': 1}
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id: 42219056
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1501, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.1501.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '252.187', 'twisting_conrey_index': 187, 'weight': 1}
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id: 42219057
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.349.2', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '252.223', 'twisting_conrey_index': 223, 'weight': 1}
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id: 42219058
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331112424, 'target_is_minimal': False, 'target_label': '1512.1.bn.c.181.1', 'target_level': 1512, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '504.83', 'twisting_conrey_index': 83, 'weight': 1}
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id: 42219059
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2077, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2077.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '504.115', 'twisting_conrey_index': 115, 'weight': 1}
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id: 42219060
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1501, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.1501.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '504.187', 'twisting_conrey_index': 187, 'weight': 1}
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id: 42219061
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1501, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010016770067912, 'target_is_minimal': False, 'target_label': '3528.1.bp.c.1501.1', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '504.331', 'twisting_conrey_index': 331, 'weight': 1}
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id: 42219062
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 1105, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9010429086926816, 'target_is_minimal': False, 'target_label': '2016.1.bv.c.1105.2', 'target_level': 2016, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '504.349', 'twisting_conrey_index': 349, 'weight': 1}
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id: 42219063
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 2077, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9012284512800200, 'target_is_minimal': False, 'target_label': '3528.1.cw.c.2077.2', 'target_level': 3528, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '504.403', 'twisting_conrey_index': 403, 'weight': 1}
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id: 42219064
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1777, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9010429086926816, 'source_is_minimal': False, 'source_label': '2016.1.bv.c.1777.1', 'source_level': 2016, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009879331111416, 'target_is_minimal': True, 'target_label': '504.1.bn.c.349.1', 'target_level': 504, 'twist_class_label': '504.1.bn.c.13.1', 'twist_class_level': 504, 'twisting_char_label': '504.475', 'twisting_conrey_index': 475, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2365425
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 2}
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id: 2365426
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9010429086926816, 'p': 3}
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id: 2365427
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 9010429086926816, 'p': 5}
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id: 2365428
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9010429086926816, 'p': 7}
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id: 2365429
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 11}
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id: 2365430
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 13}
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id: 2365431
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 17}
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id: 2365432
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9010429086926816, 'p': 19}
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id: 2365433
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9010429086926816, 'p': 23}
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id: 2365434
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 29}
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id: 2365435
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 31}
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id: 2365436
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 37}
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id: 2365437
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 41}
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id: 2365438
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 43}
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id: 2365439
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 47}
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id: 2365440
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 53}
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id: 2365441
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 59}
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id: 2365442
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 9010429086926816, 'p': 61}
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id: 2365443
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 67}
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id: 2365444
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 71}
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id: 2365445
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 73}
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id: 2365446
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 9010429086926816, 'p': 79}
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id: 2365447
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 83}
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id: 2365448
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 89}
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id: 2365449
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010429086926816, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 48, 'hecke_orbit': 3, 'label': '2016.1.bv.c', 'level': 2016, 'portrait': 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OFrgbCGuSnDhsmE5U5AZyAYxh4rfcHmScNS23DygqLm+Wyege1zIZtmh2ycHbF5dsT2TZadmxVX7PCoqybHTk7w9Sd9Hj4Y8/iJiER1+a6Xtnnriy11NcvBE1McO6s5M59wPgX34UXLDVct8O9/ZIUdGyY5Oz/F/EqNpbbHcluy0k3o9hJ6Q8HB44scPNW+4rFD8y87eur8RcdPz99y02u+L7z71o8/15D4pm5/rxl8eaXNMLRoxbvufuToi3/59z8h337zoRf/q7ee0Qsrm1huT7DUbrDU9llqa5basNxOWG5HLK0mnF+FI0uCuQ2r/PqPLfHCyxqcujDD2fkmZxc1F5Ys5xdjTi8kzHdjpmaGvOSaHjfuBV/WCVTAheUa5xY155cF/RHEsaHmG5q1hOnJGAOcOB/T6cGuTR7N+ghrBQif3sCwc/OIpVUN1kmR1R6MYrBYltsh2zZ6dAcKoSzCjJioeezcMmS1LzhxVpMYzeyEpFUTBB7EsaA/kpxflpxbslxYiQmCIXgxN13Z48VXCeYm6iytTHDqQsDZRbiwGHNhOebMMhxZsrzgykV+48dW2Dw1wcnzM5xfqrOw4rPYliyvJqx0IlY6Cctdw2JXcqoDq8sdfudfjeIfem3jHn/Dzxi/ecU9UphfToxHUJt4rqHyjLe/twz+wQ9/ghffeD3/5l//69/8i0985V+99y++dMm+k6sXHT7Tly+5usfFWxMSo7FWYa1jb6wEJCAQwqKFxZdwdqnO/Ycl1+xZZu+OIY0aeFriewrf1zTrkoYn6fc8DhyvcfvDPifmR3TiiAOnRmyaXeZNL1nhmku6vGBvm+OLMYt9QSMYcvSspd1pcvXFktVhwr7jilZD89QJuHSrZRgmDBMfrSOmW7D/VIDSCZ6M0R4MRpIX7u0z6EuuuSShM0g4cbbF7s2KZiNkdWTZONVnpdfhY1+BR48lPH5syK6tS1x7eYfpmZA33tTl+15u2bO5RRJNcezMJEdOe5w6bzg9H3F6PuHIvODkasTzLlvg13+sy6apKU6dn+HCUoOFVZ+ltmSlndDuRqz2ElZ6luWe4EJfsdKJuWHvIu9884Ksay5aOH9i92AYvyhoXlyvN6a/9NDXP82fvPcvnmvIrHv7e8ngf/HRv+Gqy7epex88/B+Onjz/qw89flydXw5ZGirO9i3X7LrA7/zcAtftaXBhaZqldoPldo3ltsdyR7PShZV2wkonZrkbs9iGUysCXR9y81XLfP/LQ3ZvbLLam2B+uc7Css9iW7DcdhJhpWvoDAydkaU/jJmdiNi5yQCCwLOcnvcQMmDXRsXurZatG/tcWBnx2KEWz7/U0qiv8OThGVrNkDD0mJ02DIZwxc4hH/nKFJfviBmNLBsmJVEyoFULeOr4kLrX5LrLYh4/GnJhyWfbbMDuLbBzc4hSEacXwfcsQlh2bYqZbkm6g4Be36PT91juKJZXYaltWG4nLLYTzrdhaZiwc1uP73/FIjfv1dS8Cc4tTrC4UmNxVbPcEay0DavdiJVuwmrPstSD813FhdWYF15+nnf/3BKXbmuy1J5gpVOjN5xA1i5N/Prm3zTy4t8Q5mzy0ld+z3MNnTW3v1cAP3TwILVarX727OmdDz361DuOHT/znw8cOs0gkvSGsDpwjHK2G/OCi8/z335umWsvrjO/Ms3SaoOVTo3ljsdKR7PSgXbXsNqNWenGLHcsF9qCsz0LosdbX9rmjS80XLylRhg2WGnXWO35tLuKlZ6g2xcMR5YwtiQJKGkJPKgHlqkJy8aZCO0NOXIu5InDASZu8voXhWhvlYf2TXLRFvjC/TEvvTpgvj2gphVxEjEzDXHkob2YpaUGL7m+wxfubbF7Czx4aIRHg9e90BCLAU8cSTh2uoaWPpumNdNNQT0Q+L5ACYgNhJFlGEK3b1ntGbp9w2rfsNSzDJKEXdv7vPHGNm99cQimxdLqJPPLdae3O5qVNqx2E9q9mNUU3Mt9ONdRLHQSXnDZBd79c/NcuavOwsoUq90G7V5Ap+ex2hUEje3Umpv+3eate/9qx/btJ4ej4eDSyy57rqGU3/7eAPzEscPMzc35hw4f/olDhw794YMPPyqWlnpyMDL0hobu0NIdwOpAMj+QnOtGvPCSeX77p5e4/pIai6tTLK02WekErHZ9Vrqa1a6g3bW0ewmr3Zh2z7DSs8x3BefahumpPt/xgi437Y3ZtUkxUffodGsEngQUYSwxRmAs9IeAMEy3hhw6YzE25LYHm4z6dS7Z5nPzNX0is8qdD09x3aUeh873aK9McOM1fb70UMCmGcu+E5Z/8pYO+44HbJqR3P6w4uYrFMv9DkdPzXDdZSF3PjEgHjW46UqfPTuGDOIetz6kIBEcOa2ZaGi0gP5AYqwgMZYoBqRB+4Z2z9JsRezYMuLFV/T5jufHzDZrXFieZGm1zkrHHZuVjqDdg3Y3pt2LafcS2n3Lcl9yvitY7Ma86PIFfvOnF7h2d42F1UlWuw06vYBO36Pb13T7is5AECU1s+fSa+zui/e8c/fFl3xwaXEh3Hv53w+Q/70AeBzHMhwN3vTgvV+4pNuP333/Aw95wxCGoWUwTOgPE3pDQ29o6Q4E7YFgfiA524656Yp53vXTCzx/j89qZ5KFlRbtXo3Vrs9qT9PuKtp96PYsnX5Mp5fQGxjafctCT7DQgygZce2lAzbPJPT6ljfcOOKizYY4kWhpCSO447EaJ+drbJmOefJIDUyDvdsV119uCGp9HjrUZ2GxyVUXNZmYWuHexz1uuLTGUn+VlZUJNm+23L9P8cOv6vHAPs32jR6LvTYryzNcf0Wfe59MmKlPcdUlPebbbe5/eoq6bvKCyy2X7RyC7PHYMcHGmYgLCxF3PuYxjBRSQmIsF20J+Y4bQ7o9xdZpw/WXQhg2WG43WG4HrPY8On1Fuyfp9KDTT+j0Err9hE7fsNq3LA8kZzqC9mDEzZct8Bs/tcILLnUXR7tbp9MP6PY9ugNNp6/oDSX9gaDbT+gPY5533Q2RRf3bt3/vmw43G/XPas8zzzW2nvNM5mjUJ4r6P3bq2EO/M3/+4Mz8/AqthkQpFyji/pfenAUohEVKi5SaBw5u4pffp3nLzcv8wKuW2b0t5PzSBIFfpx74NAKPZl3TrUtaA4/JpnYXzCBh08gwGFm6w4DlhRqnT1nC2HDmfEwQWEDgK4uWgv5AIfCI+5rnXSTYs9Wyc1ufUdLliw8o9h+e5rXPD7j+ihX+7IsWXzS4aFufx+9VbJtSbJjoU1N1wshjvgvNmmb7JsGj+0Ouv6zOy69b5EOfG+B7LV7zIosX9Pny/SFfuK/J08fqXLy1wUVbEuamQ3ZviLj6ogSlDFpZwNIIAuamAsLIo9v3efKQ50oUBg6IvQH0hpZe33337iChN7B0BpbVASz0FRdWLI3JNr/w+gW+5+YR117c5NziBO1ejW4ObkVvoOgPJYOhYDByBBBGcNfX7vcmp2Z/Z+PGzcsvf+kL/2Wn1//QRLPxnOLrOQV4FPZB8FNnj9/7rqP7vjIz6nepBT4mdUIsAlAg3FIjBEjhOmmUtCiZ4EvJ44fmeORgk0Nn53nLi3u8+MohU60JltsNmp0aEwOfXl+7kzOUDIaa/kgzHFmGoSGMLFFkiRN3D2Mfa0AqgacFNV8w1RJMt2DzBsP2TX02TLe55SG46xEPaSZ57fM9nre3y91PR4TDCW5+nqA9GDC/1OSmywwbpvrUdcAwVix0IpQRPO8yTaM14uEDNV52/SQ3Xtvl4QMK7CTPv9LnJ79rmS89GnL7A032nayxc06xeabOdKvBZAvqAXjaoiQYC/uOCZJEEMWCMIZRhPuOo4TByDAcGfpDQ39k6A2gM4KFnmS+CyMz5NXXLfOmF7f5odcY4niC84tNOr0a3YFPb+DRGyi6A0V/KOin4B4MDYNRwig0DELD/PGznP2rL850B/F/+Z43vlx3uv33TbSeO5A/ZwAPR0sI4p9cOHPHu+ZPfGmjpE+rGTAYuVVNAAiJQCCEQgiBlKTgBqUsWlk8Zah7gsV+nY9+ZTtffqTDS69e5UdevcrVu3vMTjVYWm3QHQT0B14KbOXuoWAUSaJYEMduqbfpcqGkRWuo+dCoG2ZaEds29onpcehMxMfurHH0VJOpoM4NV2puuqbD/Qfb3Pb1CV50aY2dW/p85CsCJQImWhGrvRHGghIwN9Gn0/UxcZ03vXSej36hwZ4LNd74oj5htMSdT8wSJTVeeOVG3nhDh0t3tPnyw30eP9XgsWM+22ckMxOCRiDwPXcRSgFCWIwFYyxRnF6skWUUuQt5GMIghO5QsDISLHdB6CHXXb7Kj3zHKi+9MmF2os5Kp0G7W6fbD+gNPXqDYiXojySDIfTTC2c4TBiEhuHIMgohNooz59t88KO3b+yNeNfbvusl9tyF5fdv2TTzDx/gF5YtSiNmI2FX5z/541E4eHd7/qkNig7Neg0h4pS3NUI4lAshEUIghERJjZQJSol0eTZ4yhJoS10LVoaKpfY0H7+jyX1P9rj52lV+5DWrXLenzWxSJ44D+sMavYHHYKQJI0UUS+JEkhiBscJlQYUl8A2NWkzgh/jeiDNLIz73oOTwaZ9jp6dRJmDPFp8rdiuev7eDChZ44kiLbVMNrroYNs+tsNyZ4OptkthYbnkgYNSXTDVjXvfCIZ+9M+Lk+RaXX+JxbnXIU0c9dmya5trdC9z9eJd7nxKMQp+9u2fYuyNg7/YuR84tc/gMPLC/waGjTRpaEGhJM7DUPJDSEYO17mKNEwhjCBNBbyToDAWdCEITY+yQF1za4Ue+o8NLr07YMhMwHE6y1K7R7QX0hj79gaY3VPSHisFIMBhKBiPXNzocJc7jHzlwD0LDMHSOTpgo5s91eO9ffnXjY4fn392abMb//L/c/mfbWo/ziz//L/7hAhw7BFt76bH2g+9X7f9npiHnN3iiRr1WQ4gIcBJECFLWxrG1FCgl0EqljwatEjwt8LXB9yyBZ2n4CVM1QXfksdKZ5hN3TfCVx4Zsmu7zjle02btjyHDQ46rdlh2bFaPII0mKNL/AIqXB0wknLliOnResDgyfubvBmcVpbOgxXVNsndXs2qy5eBtctaeDkYu857NNlpcnedFezVV72nz5MYGIPTZOS5qNmH7kI60EK1Hapz0UXFgWXGkbvOL5Xe55uM7WDT4vumqGf/xdi3zwC10eONCkN/RYWm2xe2udy7f0eeFlXb73ZV3OLi/zmbsDlvoBJ855nDnj4ymBlG7VM9aSGIiMJYkN07MR11zZZzSK2LtjxNteMWLjpGKmFRBFNc4t1OgPfPojt8oNcmBLB+6RYDjCrQSjhGFoGIWJk0CRTUEOg0jQDwUjo9l/tsNjH79nw6ufP/n7r3rxXLRl8sBf/Jvf+kP+yy+98x8ewH/21z7Eptma+Nsv/sHuhtx32cb602zYVsNYkELkwC4/SumkgpQSJSVaCbRKH7XA0wm+FvieoeZZ6pGlEVomawnTdUE/lHTDJsdON/ntv5gBEyPimOdf02f35pA4BmMN1rokjhQCqQTa8zlw0mff4RrNmqblSzY0BHOzko0zmq1zil1bEi7ftUoilvjvn5zgxMkpXnSZx96LEgZxl68/ETBV95idtEy1Qhp1J4WMkbSHiuWeZamd0O7VeclVqzy4r8/+k4qpiRovvHKKn37TEn/wKXj4cJPewLLa1VxYnmDzhgYbp4fsmh3yr9/eZ6LR5vFjcOCUxPMsSlmEMGTRubUQx3DR5oSbr45JIo8oDrC2wTD0OL/oMxi5FW0Yqly+DULBcCQYho61R6HLyo5GhlFoGEYmfc/mzD2IBINI0A0Fq5GgExmS4YAjx05M7d298727Nl4Sv/sXd338P//k79hg07/8hwPwX3n3R7li50aV/MqH3vquDy285+n9p3nFtdP8x5/scsXOHlK6kyKEQYoAKS1KeihlUVKhlEr1tsTTTnP6nmLkSUahIQgTRpGlHhlGkSEMLRMxjCLDKIYwFgwjySgJiJIa+w83eWw/JNbioO20sSfBV67moxXAVVtgog6TTcl0SzE7pdk4Azs3j9gyt0pkl/nvn5zkyNFJrr9YcfF2yZ7tK3z1qZgLS5M8f7dkesJQ8wcEMsAqQZxIhLXESchKr8aFJY/r99Z53mVd7n64xqZpQaPW4vrLDL/w1iV+/1OGp860WO0ZVruKhRXNhqkm0xN1picmmWhEzDUjdl0fEngxno5RKkEKF0xY3EUVRYr5BU0UK6JYEUaKUZQ+hpJRJBmFkmEoGYXCBaihYBRaRqE7rqMwIQxTTR+594chDCPBMIJ+Cu6VSNILY8ywz3W7V/gPP7nKiy4/32i0kj9bPaHN8uB5nzx/+P3J5kt+8tsf4L/87o/RqNfUQwdOv+3UqQsfuu/x+VqUbOKTd/WIjeQ3frrNFTu6KJkglXHgVh5KGfcoLZ6yeFrhaYsXSnxPuJPgCUa+Iowc0KPIEsaJc0Xi0j2BOLEkiSExOL1tyMGdSSEtwfMg0IJaIGgEkmZDMdmQTE8KNs7E7Nrcp9Vc5ZP3hNz5xAyrixNcs1Oxa4vHpTuGJGKVWx5o0PQ0c9OKVmPIE0fg6aOaq3dY+iPFtZdGXLPHcv5cwsKKz2DY4PU3dPna4wMOnVE065LAn+Dqiw2/8eNL3PHUgM/esYGljmXXxoSVtmZqQjHZ9Gg1PJp1Sy0wBL4h0AlaOakl09ZKa3EJKyOIjSROBHEsiGJJGAuiSDKKnPMSRoIwsoQhjKKEMDKEJeIYReW7A/cgBXcnkrQj6I8iZNTj+otW+PWfXuK7bzb0h5N0eidr/eHMh2v1/f9IeVN/ff7I+5LNe37q2xvgLS+Rg97qDxw+duaPn9x3vDZV91iNNZGU/O09inCkedsrO7z91T2mJxK60qBlkupsp4c9rfEiTaAVQ88xzciThL4gjIQ7OZEiiiGMpHMQ4sL2ixNDkjh3IbGpU5K6JZk7o6STPb4WBL6kFkiadcFEwzLVMmyaGTE33SW2q3z8a5IPfmGWjbUa1+wU7NzicdFWw64tK3zy65bl5Rp7NyumJ6DViLhwXDK/EuDvhlEkmJuUTE3BoWOWlY7h/GKNSy+q8arnd/ncXTVmWxD4PkpOcfUewc+8cR5PzvO3d0/z9JkamzoRG6diJpuKVl3RqEvqgSbwIfBAa+cwSQFSlECOu7ATA0kiiBNSoEOUWMIYoihxpBAZwuwxMqntmLkyqQUZO0nSiwSdWNKNDOEwZDLo8I7XL/H2V/T4just7V6TwajGKAoYdo/U/Fi+Vw4DjfD/Escz354A/5MPforEmB9/6r6n/9vRI6cmJuoKL7YIIegIn5GU3PKA5utP1Ti3ssQ/+d4+0xMxo6BGp19DKx9Pe3jaww8TQk/jh06ahJFLpTvGEY6JUlaKY4gSSBLnJBjjAi5jbNbDmYLbAdwFrgJPO4DUAmjUDK16zFQrZm5qwIbpVe7ZH/Lh2+ocODbFRZMeezbD9s0+2zfB5Ts79OMO9++boK485qYVUy2Yao2YnozxfY0Q7uIajHyWOxGrfUu7FzO/4rNzc4sb985z2wN9DpyZoBFEeMpHiEn2bFP86GsWecHl83z4thb3PznFUk+zcSJmqhHTqEnqNUXgCQJP4nkuVlGK1D50KLe4HlZjyIEeJyZd3VJrMTbEiQN3HEEY2+IeOVdmGDtS6UeCTizoxjAcxph4wGy9wzu/b5n/8wd7NAKfdrfOKAwYhT6jyCOMNd2F0xO6Fvz3idlr/cNPfuqDl1z9lm8/gC+vtFFS/dSffOAT7zp18vRsqyaIEosSTu9qIegIj4GUrI40/+2vPPYdWeFNL+vxiuu6bNoQ0u3UGYwCfC8m8D1GoSbwnb2XATyKJGHslt0oTj3thNT6I2VuibEU4HZJypS5QSuXMPE9S8031GsxrVrM9MSILRs6XGj3+cPPeNzy4AzLK00umRPs3CjYttFn+0bB7q1DtL/KR+/UHD3V5LJNkumWZLKZIOWIMwuWQEukAGsFYaTZtbHDAyR0+oqVjuXCcp3Lttf43le0+esv+xy/EODpCCE8jG0SxZLn715h1w92uOXhPh+5ZYaHjjfZNi3Y0Exo1hJqviDwBL7nYhWt0gBeirwmw+IuMmNxTkviAJ+BPE6cpHNghzBxtS5hljyKBYMYurGkG8MgNCT9Eds3dHn59Su8+WV93nCDQYsGK6uOtcPQI4w8wkgTxopRqIi652Z1fc+79z7vrWo4bL+vVvvfM3HrfwvAV1bb+L73jz9/y53vevTxpzb62iKlQMVu2XRZSIEnBT0p6coa7VDz0a/WuOPxLtfv7fCDr+nzxhe1mZ0KGAwDBiOfwPMIY3egskApjhVRIoljSZQI4liSJILEiEJrG0GuSmyWEXXJIpUmi3zPEPgJ9SCmVR+xYarHIBrw5ScsH/vqJPc/OcW073H1NsuWGcmmWZ+tc5Ltm0Iu3rbC48cHfOZrc0wqzdykYKIpmGhEtPsJX/h6jZbv3CFjYTDSvOnmEZ+/z9XEtHuG+RXN9o0t3vLiHvfv77LvkE8ziFFSOJCbBsPQaf0ffVWby7bM89E7Otz79BQnV+psnhBM1iwN31DTBt8DrQRKkibI3PfOyo9MKtWMKVa4OAW6IwiIEkGUpMBOBMNY0I8FvQQX84QhzXqft7x2mR94TYfnX5awadpjMGzS6fmEkc8oLM5ZGLlg1xGU4PSJ/Rt18PV3Xbz3pabX63yg2fzWN058SwG+vLJKu93DWn7s9i/d9V+/cMuXZjvtVWq+IkpScAuXWpYCtABfQiChKz36nuJ0J+DsfQ3ue6LHX1/T5W2vGvC6m4fMTPmEo4BR7NggijVRCvQ4UcRJmrBJCoAbmzK3KWrKRGpDKunqOLQ2+F5C4EfUg5BWfUDCgC89LPmLr0zx5LFJRBRw0bRly5Rlw5RibsZn8wbJ1rmInZs7nFro8iefbRKP6mzfLphqaSaaMNGIEF5IZ9BkquWkmbUQxZKZQBGbmG7k0+0nrHQUZxbqXHlxi5/97lXe/ZcBJxaaaBWlF4YmjmsMQ8nm2YDnX9Lhmot7PHXiDB/7ap3bHpribLtOM1C0fGh6Fl9bPAVaumMuRLW6zgDWuIsuMYLEQpwI558ngjBxSaJBIhgkMIgtcRxjohGztQGvf/Uq73h1l5deHTFZ9wijJivtgFHkE8U6ZW2VPleEscpX3CiSjHpt2o/csTGK5X+99Iob4uXFs/8jqDVpNL91bP4tBfhgMGBqqvnme+598A8++4UvTXTaHeqBJkosIl0mM39bCnfgdeKKmXxlqCeCvvLpx5r5UY2/va/JnU/2eeHtPf7p93W5YmeHjVOKiYYmjHzC2COOC5AnGcCNxFiJtU4S2DygTFP9yrogVscEfoynQjqDiIVOxO99ssax+Wke3jeFNT6zdcHGDZYNk4LZCcXslMemWcnm2Zhtc31mp1a45RHDQ09Pcc12wXRL0mpIJhqGZj1EeCOCQKOV+/vWQpJIBiPNYBgRG0F3YOj2LMsdj/NLE9x0eY8br1zlo7fXqC8rtHRJMGM1ceITRq7Hc8NUjRfs6fGCS3o88PKznFiQfPi2KeZXG5xeCvCVpOkJ/EyGSUcyOZFnUgXH5LEVxAYiIxglMIwhNBaSGOIIqUZsnR5wzS53Pm64ImGironjJu2uA3acAtutsDqVjQW4o0SmRoAgSiTRsMMTj3x1Vir1Bxdfcv3KaDj4zLcSk98ygB85cpitWzarP/+Lj17y9NMHJwa9NvWaJk5sIQmEJUqcVFHSohPQicBTFj+21BJBQwkGStDXAYPEYymsc9tDk9zz9IBmMOIfvaHN9tmYi7YOuOmqLlq4FjEhnFxxWUlXK21tibmxCGlRwnnmlhhkzFPHJA/u13zu/hZPnWwRxg1aWjFXt8w0LdMN63zwCc3MpGZ2SrB5Jmbr3IAtcyvc+eSI93xuI1umNHMTMNFUTDQFrUZMPRhxz0HFMNR4TQcqawVhLKlpxXWXDbjviSlX+DRIWO14LK4GXFic5mffeIHTi0vc9+gcngREhIEcQKNQ0htopls1piaa3HhZn5df0+cHX7nA/lOGz99f4/79dQ4ebRILzWik6EcKlZc+lAPPNCdgDbGxWGPwRMKkH1Ij4sbre+zeMmT7hogfed2Iui9p1j3CsEG766crqU4JR+Veu7vLtffUpoxjQZxolpbbPHj/PRNnzly45HVvfJs6euRwcvGeS/7+AHz//n20WpP+o48+9BNamf/W763QbPgkprCqXEZSIKVjbBXjJEJi0TF4UuAZS5BYakrQSAQjA8PEY5B49JMa3W7Cf/3oNDaO2DQ35MqdQ2YnY972qgE7N4ZEkUj1toQSc5PqTykNQgo+cUedx480EVpz4myDMxca1OqKyUAw1bRM1AwTNWjVBZMNxURLMd3SzE7BhqmYTbNDtm3skNhVPvG1CQa9Jpdut0w0FK2GpFU3tGoxnhdyy301Rn2Jt9F1i2YSpVlXvP6FA+56xNAbSXqDhE5fs9rVnF9qcMXuFm97aYeHn2pwYrmFkgaIUr3sESWKUeQSM72hpt3zadUbNOsjrtg+5EWXDzk13+b4uVW0l/DYUc1ff7WBUK5wjfH5g9YABqwlChN2bYp5x6sGbJhIuHyXZdMsJLHHKGwRxx4rHY84UkSJTuMgB+gM4C4mkmmtT9kAKBsBmR/vcfbcMs2p6L89/PBD/Ysv2f3BAwf3hZdfdsXfD4CfOHGS8+cvXHb+/Nk/fOyRh6TW7uDFsStcUtISS5uCG+I0BR8bgY6dTowSi5d+6UBbaoklTgShsYSJYGQko0QSGo/IwEJvgq8+brAkfPp+N7IBa9J7lsVLLTKRVSRKpFLEkUYajaclrQB2z1manqERGBoBNAJBsy5p1Z0cmmxJpidgdjJmbnrE1rkuCSv83t/UuPuJjeyZhelGyt4NSase06iHNBsD6vUGgZIomWpwnByIIo/hQDAYJXRHynUtDYxrmWv6nL4wyUuuHPELb7/A7/y15uRqgBAGayNMYolijzCSDEeujLU10DRrPo16jUbQoBZEtOohz780xPcibrg05kde3UerOE0CGVdvXxblqaQzRiKEJPAU4DMcaZZWtKvbSbKYJ73HsoiB0sK1DNwZsDMgx2nQWrzOQO489vsfeFBKpf4wiYdfGw6HT34rsPm/DPDPf+4zNBt+/cjRo289ePCgQEg8VdbbBbiVcgkYqSwqAZU4bRgnoBPX+xhnEX2SRvVZZG9E8doIQiOJrSQxmsgEJKntVb7lWcrUltQSPAW1uqWmLTWVEHgQaKj5lnogqPuSRl3SqGkH8KZgqmWYmYiZnRqxcabH1o1LvOdzho/ctokdU4oNLcNEU9FqKJoNaNQTWvWIc0uGI+cCar67oCGr9BMMQ83uzYbNG4Z0hj6DoU1ZXLLa1bTqNVqNKX7k1fMcPXee935mG1pqLIbEJMTGEsWaUagYhK4oql+TNIaaeuBRDxLaXRdj+F7iEmZegpauUULKJK37saXGElfC6UAuaJu0ytK4uCZJJMZIYlPEO3EiSgF+9rz0GIv0/QzcLskUJYIkyfIV7phIKXn6ySfEoD9469btFx35zGc+PXjzm//XGpn/lwE+1dJ+r73wS732/C9JIhl4zn8WUqZdN+6eSEti0lruRJCk8iQ2oPMvmSYfjE1f2/y94nlRKee8XJEHSmXNDaTyyKYBrUFL0poW8JTA09b5xlpQCyQ1X1IPFPWaolWXtBqWyWbCVCtmZmLEhuk+Ozctcf/BER+9YyvTtYBNLcNEQzhw1yXNmqFZi2k1Rtx/AB7b3+CSOZvq3iJtPhgpbrjccunOAQ88OUV/5NrzegOdgtyjUatTr03x/S9b5rGD89y3bzNYhTGJK4eNLXFk83qSwUjTGFrqNUXNNwS+R+AnBNqgdYKnXXZYKZNKRrfCIiyCQs8VwbkrITaZI2Uy+7VkxWbANg7ExWtyYGd3R2DpY+meJFkiDpbbfSlOnvsPiJrfaDR+EwifM4BHYV+Go+Gv3fr5v/yX3fY5v1HTaeYwXXqEyA+kA7gDtkqTComyaJM+N66B1qRXc2KKL53YLPNmMWkmLktWWGspZd4rK26m/7OEjpJpxlJRKtpy2b/AV9QCRT0QNOqCVt0y0UiYbMZMtUbMTg7YOrfCfQcG/NqHNnHy9BQXbzBMNWCirmjWFc0aNGsJ9VqE7w1pD12xmKdc/JHdEpNpUZ+JekQ/NvTTOuv+MKHbl7TrikY3oBa0uGhzxG/8RJv/+GeSr+/bhEVhrCFJDHESE8aGMFIMQ8UgkNRHipovCXxL4CsCbfA85/drZdM6n3RVTWWKELbaoJum9m1KIjatZUlSwCemeHRkJHMmzgGePk8yKZKRWLo6J0lBZHFiMcaQJJajx075UtX+7U/+xI963W7/37Vajb9zOv/vDPBer8sojH9z3xNf++eryydr9Zokjl0CJzYFqGIj3HsqA7LFSAfuJAW3yZ4bgTE2TyOb3KMFa6zrIk9LQMt3xgCeyu40sHQSxdWUO0mk01Y0T0sC3w0AqgVuJEM9sDRrhlYjYaIRMdkKmZkYsHVulfv29/mPH9zAgZMz7JpxDkurLmk2pGPvuqVRS2jUIqIk5M9vbyGVwpMug5szuM2WcI8ffe0Ktz4U0g0D+inAewNFt6doB5qaHxB4E1y+I+Y//+QS//6Dgnuf3ISxksS4tHoUu0KzUWgY1Vy5axAIap4g8F1m09c2z9hqZZxMlIVtmwO8SHkCKYngcgnObUkD+QzA6dQBkyfXSNmdfMXNVucC4LZ4TLJznz5PDMZI9h88Xrv19jv+xXd/12tEp9P55YmJv1sS6O8M8PNnj2KtvfHg/kfrcRziaUkWnMsEEiFIJChD+ihIpCDJ08MZuMm/oCkxtHtODnhn+9mUtcmbke3Y5yp6N9M6E0lRTJXWkTuASzxPuvoNX1AL3MyTRpDQrDtwTzRDpiYGzE21uX9/n1/7wAxPndjA9mnBbLMkTWqaZs3Vr9RrMfUgxPNGnFmaxlMCJU1qyxVBZpJI4lixZdoSxxGdqJZ2yhgGw4TuUFLvK2q+h+/V8PQke7fH/Od/vMCvvB/ue3ojiZEO4IklipOUyQ2jwFALJUNf5RLM88DTqXOlpMsFSFKZAiJ9XAfjTq6QJoUQeXLIpMmhLFucJKX3TSE5kxKwjaECaFMGd+kxjELuf+Dh+uWX7b5RSvkN8fgtBfj+x79AM+g37r37K34crqK1+9JCOKaKJSQq/WKJA7ox2XsO6MZYEk3+JavAzmSIzYFuMzmSPX+GzyZFUUQlJa5EIAW3kjJtlMjkCdQ8CHxDvWapB04/N+oRE42QqeaADdNtHjo05N+/b5onTsyxdUox1zRM1gWtmqRRUzTqgnrNXRwu1R9y3z5Bb+hTU6QXmdPgWRNCYgRRrGnWFDdd1eX+pyboR06mDEYJ/YGiGygCX+F7fqqfp7hih+G3fnqeX/xTuHffRiIjiYxJm6WLHsyRLwl849jbK+rotcrupDKlkHFZs8l6IM+SQjYDeAr4JHdeWHflNakEMSUSSxKb/nwt0LPftwjmF1f5yMf+1n/jG97Q+MjHPt//4e//zv/9AF9aOM7kzPappx/+mz/xZO9lvhe7YiYDMmVrmV2x0mluU1q2HGMXV7lRYn3WLgHa5MAumoJJtXd+MoRzboRMwZ0WGakc4KDSikFPg+/hOoH8tMAqSKin8qJVHzHZGjDd6vDo4RH//n3TPHZ8I5unNHMNw2QdmjVBs65o1BWNnL0TakFMqzHkzsd8Vts1pqeLNHkGGJNq0yhRbJxVvPp5Pe580LgumtCUQC6peZKap/G0j9Z1pDRcscPyrp+e5xf/1HLvgY1ERhOlFYCu7NUxeRDJvLrQ1xKt0yIsKVA6Ozbkny+7CDOpIrKqNIqE0PjdlB6NKT3mK28V3OXKzmT8dXYxpBdHPIpZXB687PCRY+//+Z9628/dePj46qWXXPS/F+D9zllG/YVfXF06/gPRaJHA80iMyU+a09hjS5QRqc7OrvLiis/kR5LLEHL2rgSS48ydIj3LyOXaW2YVdIXuzioGtcLVZ2iL57nG4ppvqPkJ9VpMoxbRrI1oNYbMTLZ5+OCIX/rTDTx6dBMbpzw2NhImGzYFd8reNUk9cOxfC2IaQUhsRnTDAKEkXsbguQYX6QlM/eLIo+kPXblAWGM6A/kwoe87Bg986WridbYBreXqiyzv/rkL/Js/Nty7fxOR0YwSQZiYlMUFtcgQeBbfc72rOo07tHIlwkrK9PikXfnZY6kwK78wy7HOGLhzEioRUxnceVxli+fl97Ja/YzVTQk3Z84t8vSBYz9wx92PHBmF0a/8b2XwzsopmpPbdz1x359eEw3OEPjCRfMpuJUsAg1lbBGEGJt2lGRFPbYEcJEfqMSUD5goMUWRlbTlNTNj7XJQmS23aYeOSoMprdPOoLQIKaserHlJqpsj6rUR0xN9Jptd7tsX88vv2cAjRzcxN6mZqydM1iytFNz1mrMTM3DXg4SaHzPRDNl33HLHw018KfGUSYO4wqPIGCpKFLHRvOL5EZdc3OPIyTpzDYo+x1FCf5iysFZo7aWVmM67vmoX/NbPLPIrf2r42lNzDKO6S4bFlkZawx14OJDrbPUyeW+rVEm+wikpSgAXJZCzRq8UILdVgOcVisXKu97KXLB7UcmYmFKdetk1Q3Ho6Dlu+fKD1/znf/czuw4dOX3i0j3bv/UA766ewwumLjp/8p7fTcKlNwvbJfA1sbHO15Yl2yiVLBU7yVpMkskRsWZJy/xhm3vaYy7JGrckZe5xcAuLVJktmNa8qJS1tcXXBs8zBJ4h8GNqfkwtCGnURsxM9lnp9rnrSfitv9jM44c3sCEF91Td0qoLmjWRe+XOeTGOvX0H8HowIkwShoMaNeUuMilEpZIvS6S4QFM7La9HjELLIBIlgBt8P8H3NJ4n3VQB6eUAR8C1uwW/9XMr/Ne/jLl3/yxn2xMMm5KpxNKKLbV04kDg2dT7z5wUm7N3JlUygOefN/3QZZznCjE9KdmqWoC7KildNWcJ7BWgF5KkouFtsdrHRtBf7XN2fvnNn7v13uRVL3nevzhx8uzxXTu3fmsBHg0OYeP6i4adx9867DxN4Ndc4iZzR0zZH7X5a1O2kpTIJYkDtUiXtixhU5UiZYBnh7isCrOT4MY9ZOxddOMXw4FcWaynTTpmIsnBHfgpuGd6LKwMeNefN/jM1+dY7E0zNymZq6Xgrjnd3UgDy3ogaQQ2ZXCnvWtBCIR85VGflchnNqBSj42orlBJ4pofJgLNq67vc9+BkG4UMJl3rBv8katV97UDuFauIVtIl6DBwt4dkt/5px0+f9+A3/zAJk4vTjOY0kz5glZsaMQQRG70sq/cQCMvCzSlyIPg7LEcqJcvTCHyXpH8/MCYhCwDuxQ/mRL4y3mMcZBnCbwiByIwQvP1hw+zcdPmt/qN1p93u4Pj31IGN3EHoVqX9hZu/Wd2cB+NOsRJknvX0ghUkqZ0s8xXxuBpBiwDdK61c1BnEsQWNtQ4a5dlSXqgM2bJ0s2ZC6AygCvrynF11tvp+jt9L8H3Ymp+ROBHtOoDtO5z52MJ7//CBJ+7eyOhmWDjhGBDzckSZwFmPrlK7yJl7jJ7R2g94p6np+iHmi0NmxeZVRk8W91cKWnNU9x4xYDYOIAPIuG61rPO9ZFxwaFOZ8Ok9l423M4i2DAl+IFX9mgFZ/nAFwbc9fQs56M6/ZpkIrY0tXUg12kcomwal9gU5NkxFEXtuARJweLjOwrmUiUbUcG4Ni93DxW15xmjJ+sEp0mJAOPSe7H1+ORX97H36sv/2T9+64sfWe70D81MfOORcN8Q4L32cc4fvwXlTW8Ne/teHo1W8HQDIWKkkaisXkFKEmNRtmBuY8qSpGDvihzJtDZpMqEC7JL1ULav8uFApXmFaTJFymy0m0lrvlNwK1eLEXgRvh9R80IajSG+3+cvbtP89v/YyJGFGbygxuaWYCZImAgszQCaaYd9PXDZzlqaEHL1K0m6Ejh5sthJ6IU+vlL4smjuoPRVsgs7q90IY4+6N2Tz1IDVfotBJNJxay5W8LwktflUaneqdNRGOXB1lY9vfmmPG65c4Lc+POQjt8yxHDfpBx5NTzKhXQ1OoMFX5M0QOkv6yFLVZ55LsAW484u0LFbKQKeyAhtblZqFNh+7rzEbnA7P3LbYQCIkK4urPPjQvpfXibZeWOwc2nfwJFdctvN/kcFtwuy2V17UWXryPSsLT6PwUcqAsEjjaohVykbayEo619qqRLGmqG/Igsf8ICBKkkSMSZMM3LZgkzT7JssAlxYl3eiJgrmTFOQxvnaSJPBHBN6A4xdi3vv5Jp/62ixHL0wz0fCYqcF0kNAKbJp6z8AtU3DLPClUS7V34LsLZ6I54pP3aA6dqFNLJ3Dl7WIUKM/HOFinw6NYs3cXfNcNXd7/xVl6Dc1EOnskCNO4QRm0lunYOkog90rnyp2HnRskv/zDfa7ZfZo//dwMR89PshzX6XuaphI0UqD70roLJ3WZ8tUvO66ZfQh5w4r7P7vWJ8+IKSudyH3ztZaiLYHY2KrJkMuTFOxJmj1NDDR8xQMP7ec1N1/xnnd894vfsLTc/YZS5VkBHkcRSmu6i/dsj3sP7/HlPEppIEZJlyp2IJUYY9Lm3oy9S88rxTvk4Ldl9raiMirZpieMjLEzkIsC2O6xKOhS0qSuScbeCZ6OXeeOjgmCEb4e0U1C/vDjPh/4/GbOLE1hVJ2ZScWMb5n0DY2UuRt5+l6mdSqpNEm98xzcvstejqKQQ6cDemHAdJC6OFnSKXMlsiysLdWkRJqJpmb39hAVDOmGLQa+oB5ZRhnAdZImapTzsWVWArxe8KqYm+zzs2/u89ZXnOcDn+/w3k/MsjhoMtA1alrR0IK6sgSxdWye9slqWZQ3ZFnONUzOOnJl3GGBaiyVyZASkZVZPI/TUoAnaVlGdjdGgFAcOdfli3cf2KP8+va3vPb642GY4PvPvNXUswJc2RNgJ+dqNfvx3vCrXrNhsdbkLKzSmX4mkylWuqKcUhVaztgmY+4SsFPAF4wtniFDaUt2oM2BXZEnMq2SU4kDuE7QKsH3Imp+iO+FtIch9zwu+YvbJvjE12YZJi1832fWF0z5hqZvaQSWhl+AuxZIgkASpNLEJYZSZyIFuO+5zOexc5a7HmoQRh5B064JMLNbkc52xy6MFJ6nefUNXT76pR4HTjcZ1NxohpFn8WPwIoMXGpSSzreWAilkMdyH4ngmRhIbSSPQbJoa8G++v88VO0d85LYWD+6bZGHQZKh8PE9T04K6hCAbsJTZq9KmI/UogbxaszJenFVm9Iygxh2x7HWhvUWJzcnrjeKMALLnVqTvaT58y2PeG171go+fOLv6vMXV3sLfmcHv3b9DNvWDL9rofWxysrHEKKyRGIUxKmVomTN1DvYU8BVwj8mS/J4BO5UoZQavFP64Hh3H5HlK2eTlnk53W7RKHMBVkssRrSPavYi7nxR86IsT3PbwJMvtFrJeo1VXTHmWCd/Q8CwN31L3SVnbMXc9kNR8Rc0X1HzSCj2TgtsQeE5/Kz3i4Gk40665xEqqb6uJk6J+xvVBOpDHRhKGmk0Tgkt3DHjiZEw/8hilM779EAc+lU3WzRI1IMc6c7KLJ7Mho8TVh7/j1QNe98IVvvxIlz+7ZYIH902w1G3Qlj49X+MrgS8FgXSN4Fq6XeqUKC5SJdKy33UYfE39yjiTlwjNUAo8rSCBqhxJQR2lAHfvO3LFxMTdIR/+m09NXrbzNS96/hVXfJFnGR70rABfbp8KTrT9P37Ply40f+FtEbs2W6J0IquxKchzKZI1+rrnZXBXnptMh5YAXjogFV6oSBNbKdB3ssSkmtugZOIG4mduhoxY6Mbc+ZDmC3e3+Mxdk8x3mohaDa/lMaFh0nOdPHWPVHZA3RfpXaYlp6nu9gVBxt4ZwHWM78fU/BBrI77ycMCJc3U2zAg8aVIdK4pG3xLb2ZKFmiSKwchj1ybBq6/v86mvh/Qij0EkqHmuX9VPu16KVUrlfrWbo05xXK1wfalZo4Jxfns9GPGOVw74jhuW+PTXunz+7gZ3Pt5ivt1gIHwGvkZ7Ci3cSA9PSjxhU6llUYiSNKzah+uQecUFK5hb5AFoMsbY7l5Ikyx5hE27tUwEccglW9u84+YHm3u3v/yPMWeuAAZ/J4A/+tRTLC50+cuPSrZv8fnFH+8ju4ZY6HQkQwZwlRfFZ3tWZrIke529VzkJ4Hon16kJrASUJWC7AZ1OkogU4Fon+DqiVosYjhIOnIHjZxUfu32SLz44wfxKE7waesKjoSQtz9LShrpnqXtQ8xy4a56bSejKTGXpLtKf2xTkJge577n2tCNnDU8cC8Dz0mXellL0ooKCchDm6qUFceLGOV+9e8SV23vsP9NgUBM0YkEQWUaK1NozKXtnbkpmQRZaJffZ86SbSqcPeAxDj3p9xI+/fsSbblrl1od6/NWXGhw/W2P/mQbhakAcaIZaI5Wb6qsAnT5mTJ5LF4rgf80td1MKUBsKUBtKGtuCwZkWuWi3aXOBjYHEdff3Yr7vFV3e9Jo+3eVDU7648Yd6ffv+ZmO9D/AsAB/1T4rRqP/PPvu5P9ggfmCRy3a6GgcdjPAbESaUhGEqV6xKGbpg8SqwZaG7ESmoKT2OwTuL1HPN55IaTpKYdJeHhCBwk1TjJOH8Etz+Vc2R03XuuL/OmZU6R842IQhQDU1NK5ra0tTGuQieG5xf89y4Ngfi7C7Tu0oBTqq5U3B7CYHn2NtdWCHHFmDf8QaerNqDuUShqAfPHYXMSTFpX2PsceWuAZdu7PPk0Zh+7NGKBCMNfuxmAqoSwKUUrnOqxOQwbr+JPJjN+iijxGPk+UzUQ370tSNeek2HMysdvvKAz9FTAbc+3ODsUo1k4GGkJvIVQkq3UqRd+ZI04wm5bFkP5JVAk3KWOnNbMo1qSveUsUkBHiUQGYSOUUHCgZOSP/5Enc7g2NQ//qH+L3he/IG1KPoGAPeGH8cj/oHvfPGTzUCPeM+nWnzsljqvfOGQKy+K2DpjueSiEcpKkkhWlsQq0DMpkgK7xOIZW1c/mS1F7AVr51JEJXhBQpRYjp4SPHFUcfv9DZ485vP0sTqdUcAoDMDzURMegRI0FDS0oV7ygQOd1WlkZbOuLjxIZYnvK3xfpheALbS3l7jMoud0fs2PsCbkwrJkZAO0lvjSoks22xiB5yBP8gDd9TeGsYdAMzcTItWQXuTR18I5HVFRMKaVqWQgpShFsdmwIwTWyILJS4ORvETl4yf6I5/N0yE7N0U8/+IRg3DAPzrW5snjPrffV+OJYzWOnqwRxQoChZUKhCSRpWxQnqRYR6tUxHnmA2ePpvQ4djcGIoMmYc/uiG0zMXt3h7zqhUMm6pY/+dQEdz9whiMLn8Hz/iddlHe974u8++OLSg6+LM7OK267b5onDtQQAm5/oMGkZ9i5PeLqvSGvvWHEq64Lwbq2qHqTVGdLMII4BX8WSFYYvHzJWwdo0vklnrYgDEJaotDSHzpGP35a8pe3BfQjxaNP1zh8KmCx5zNKfNA+KA81ofCloK6goSw1hRtnptLCI+VY2/eES3qUwe1J/FSWBD4EPqlr4lLmnjb4XpxmRCPqtZD5lYTb723R7gZMTwp06sVnRV/imZjNlAJCIxmNFBtmFa+7acitDw442W4y8KSTKRq82OJFmWedeuwycXYh5VknMv8bxupKyUSSSPxEkWhF7LmxD1HkOSvVi2j6ES+9OubGK0a85eVDDp6SPLbPYxAqPnJ7g2PnPRCS/kCThCor38TqDOBjllE5fVsBOGANIrEIkwaQ1lBvJnieQVjDq64f8dobhlx1ecSu7TGTnmXDpMPB9g2GL18T0Zr9mnjDy25Uf/QvPxY3Nn7/N8/gRm74w/f+devak+c3MbISau5DLPRgwRiOLRvufdLw8dtj5mZirLFcf1nIO14zzHvt5iYN110d0qylK44VeQ5s7TkX+XCedl/w2OOapY6kXpPcv8/js1+rMYwUw0hx7ryPEZrIehjhgdaIQKOlxFeCmrTUUmAHyhIo62rAder56oK5/awvMwe3Sns0Rc7evmfw/axAK8nZ2/cjlAr56iOKT329hfK1s9sq+vuZGTzzwpMkczwUw6HHm24e8Jl7OnzkK5P04hrNVId7mQ6PsqSMzbuFhJA5wNyfkiWtXy2EixNJrB2Te1oRa42OEwd0laCUG6Q/XYu5+fKYmy6PsGLE217ZZxi5cW5/+7WAB/b51APBYkfx2JM+nb5MVZLgGUV5vvOEaw287rqIDVOJa3pIDO94zZDrLo2wBuamDTPTFo1bKUwiCYdOBVy5Cy7bPsSwfK2emv5D4Ge/KQY/v9hh02xr4ld+/zOXdxNfjfQkyJJGIgFrMTZhZCwX2oYLq25ozMGTDT77Vfd7NrFMThtedG1Iq+7qgNdNT5Yv9dR1WO0pHnzCp9NWSC3dTBSrHTMJjZsLrEFqpJR4UjgwS0sgDb50QPAV+KqY0edALoqGB+0aAbLG4zK4HcOnZbVexuBJ6R4T6AhrQ84s+oSjGsGkxE/T3kqQ+8h5FlNQkFfJOs27040ijDymW4odG0J8MWQQBwxiQV27IZhZDUmW0FKyXN4q87/l/kbmapkie2pMWrdfSKM4TtK8gUrnssdEcYKKXC5BqwQpY7ZvMOmKYbhi55DQDpDa0G4LHnxCs9qXqFyxVIPqyplOi7GaNcON10ZMThts7Fb2unLHzslcjYkkYSp/q/GcdB1FaGXD4eWT235swiYrHaGmnx3gZ88vsri08u59+46+sj/oEwQ+YdqAUEw/yvaAKWkmDLG1tLMlSBk6q5ZzX22WvuJ6AC/rt/TkCIHJtlwgrTkVqghypEytrAzUadpZkm7cmvnGpUeddtIr0q33yMHt2roUfgpuX5OXmDoGT1lcG/w0O+p5EUEQcWrR8OFbm6B9PCmKADOXJ2INg5f94SxB5sDmBuuEkcePvG7Ap+8c8PSFFr3EoxG7TWldFaAtOnFUlhMoB3tZ6WImhWSpwCu7m7wWRmuFl7h5KV4KdCWLpJmrG0+fC5MODkrQwiJswoaG4TtfYkAkqcwERLZ/xjrnPK8xEmAUSaTJ5rHEkSQiszlFKm9FmgEt4rrESJJYEcURIUdf6U+eeLe18c9/Qwb/60/ehpLSXzx7jgkPfGsZGEFkBYlRWFQaAZfW2QzsUAK/BWVJvBK418V3xm4ZwKvBi5Ayb0FTAjzh0sqBcNWCnnSvtSStqUi7x7NCIk1pDgrpzmxFV30BcJnLlsC3eUub75vS4JwYL2VvX0dIGXLivGChU0NoTSCpyBNZ/lql012WDhXgpU5HGHvMTozYtXnA/vMjBolmmECQCLzE4sWpDo/JnaUiha4qnQpZbOdsXUtiyn9PkCQGnRgSJVE6275cpcVqblsZJYu7kAaVglxkfxs3JUtIm7teGdAzB2w9gBfJvSIuy0wJKvkTmQbNhStn0tVnFCnai0us9G/z18v3rAH44/tPIQR0ewM85S5EJawz4aXI06amnIYlUx8Z8MtU9WyyhLQrp1RYLwSSIkXsplKBJyyeSEGbSoDsef5eSvZFKSh5g62vhAN7BdzSPfoZ0LPgMwV31v2jTS5RPO30qe9HxER8/p46FxbqeJMKv1zDUXZQGFOk5dR1qfoyS/oMR26C7Rtf3OOex4d04hp9ranHhjBNpytZFERlBWduI6/sL2WBZla1mVmH6UwVC4lyf1MbQawEOpHpLnaulidOgV4k00yeYJPSlBJv6XNZBndq8+Z7xTzD+S8V2pGbEFTct/G7KblPxkhM3CfuHll3tagA/Lfe91kmmrWX/Pmn7rthvmdRuAMprMCzkFjj9nnJEglQSb3mH4hvvPFKLkiyZIEAlT0Ki4bcalOi2BlCyULjqgzY2UDPVJ6UgZ3PQVG4fsT1AJ4FnJnu1pkssanertaS+16E74WcbxsePlwH7bsR0NLm6fmcwamyeMZchQ9cLhWVuSceRR7XXzJidmpAe6VBP1Y0FHix+y4qcQOUVFQGOA7k+R+SY5WaIu2bTGv0lWs39IwgUZJEGRIliFOQl4vXsnIImYG8BOqsZEJgUpCTljRnmegiaVcpxqjUr5TZvPSZKyDPtLlbBYwVCGFp1ntMTvdv2LjzFS+JVj5ytzf9w+sDPIqg10++M064rj+MmGpoJGmvXQrsfAsMbIW9TR7YuH/LrHM9idQ+KZtJ2VWeZcUKcNicwcdLOHVWG5HWgGelnq65OOtUcbJE5d0rBbCz5lvH3qnm1uR6O7MEHWMX4Pby6sQIQcTnvhZwz5MtZKDxpXDzt/MKwvJ8lnIddXFSczYqVWAmRpEYxWDocdNVA77rpV3e+7kWYRLQSyS1xDKKSVeuctWfSeWcGbugnonJwWiZ9kKKHNyJkihlHKNLmY6WMKVS5HINkC1AXsk2Z0yeLdIlmSrWknl55F5Rw5LJlGpZR5FTcc/dXMUBYK4bDuPvtIa712Xwg0dOMzPVfN37/vLLPzxYWmS6JvGkLXRjaUxDUdDuPpgppSPLisRSuV7TL1ti8BTcGQBkCRSSouahPNogY263BUn2mpTByduwKiyedsN4qgpuN05hjLnTnk0/bW/zdNZwEJfuESERf/WVCRIboPLsZTnALPoaM2ejosEZa9cz0k2HSrJgUyPweMer+vz550esmohBUmOQCLyYnMWltMhY5EVnzi4cXz8lhTUpSiAXJDod3aBSkGuLMk6uuDF7roLRZY+r8yZVOqG2XCeU1arkTSk50Aupshbg1bW9AvLs56XyDlv6mQASUWNpqUvixT+8Yceb7uh3Tt3amNhRBXgcRQyH4SXRsLfHjtq0aj7lHcns2B806ZNyqr0M6Ge6CVFi8pI8yYE+Vp5ZmS9ermwrzRvMnytRaPG04q4y7CYFtlaicFJyO9B13LvGZJsydxFg6hJ7B17Iw4clh87WsMpDSYkvDXq8TqMkwMddlOyedzoZUfKrHcij2GPP1ogrL+7x9YN1IuUziAU1CV5i0bFI5VvahROnOhzp5ELlT4oSi4uSNCpGeWQzIbUy+QxJlUq/AtxZLZBNywQyJidfPUQJ3IhsYtb67L3ezWbNqxSBZ870JZu1+H1F2I3QrXDPdBxeEsfJrWsY/Pz8Ct3+kMFggJ/u0JUFkQXAqyw9PmHKPuvHL3KX5XJLMQ70ErhVXvNd2G6FZBGue14U4HZBpsi7xXUOblkBeHn4j+u2Jwd2nq3MmTvB1y6x47qCIiwRf/2VBktLdUSgne9evgjHa1AKcqpYhFnzbbmOO/emjSKKNBtmJG9/dZeHD08wSmr0lU89cVo8K2dVkhTc2VphUk+8HA2VssnZ30znPZY72t1doky2Itn8ucy3VU81uMz2O8qkiSyaI8YZfKxppUj3rS20G1cB5ZqlSkBqi5+HMYSjEaP+InFcFBfmAP+D938aKSUrK6sEviwKg/I/UnZLCoBT+YjPzt+Z/1/Ik7HHMqDLLF4ZL1YwtiwzuBIlFs/kikTpKsB9nQ4A8rKtA9MMp7Z4eSrepM+Tyl0r17nz9An4+G0tRtJHSZVmL6sX4ngGc82yXDqGVR2eavFEESeaING8/bVDPvTFPo8frRMpj76U+IlJ3SOBzLaJyWrlpcidDHcz6d+q7ltUZvLEgM4tRDfaWqUlASqxxbDOfC6LyC/oeEyPu/NZLpajxOQZyL/RWl9m7hTQJRwyLleER2d5H8eHZ1zavwzw4yfOsGvn1sa/+Y9/uHtpcTGddLRWc1eurjXsvQ6Yy6/F+PO12vuZJYrIgTM+DlmWGDsLMrOpTVpnm7ym2luNgTtL33tZY7JxM0PyFrGspzNO7xHKCzl0RtMNfVA6lSd2rDx2/MKtHpDqQKMxLzztxikSP5qmJ7h825DHD4UkJmBgfGqJq9nWqQZXwm3k6hJLGVsasiCzYPIiYZJ1uOt8sKl7LxuYqg1pB5Hrv80akrPpWknW3Z8bAEVwmQeeY+c7Q8uahomKy1QFVtVlyd6vMrjFEkYJjam53dfe9E8a7dWf709ObXUAP3nqHEvLq6+9aPuGX3zwoSfw0y1IKsydvrOGwUurzDMFlPl7ovozgcvnlIFQALvoY1QlVlSVoZoZyClqpFUJ1PnzNMmjSL1wB24H4GIokFeWJ2X2Vmlfpx+y3DX8P3/TYmlQQwSekyfSVlaVYnDOs2vOyjSBbE5MzuDOUYljzURD887v7fLlhydYGvmEUjOQEj/toSxGPqQMXq6nFyYvo7WYFNwGi6TqrIiUwW0epGdgV1KkDO4kUZK7KOQypdDhRTthIVOywLOwCivHZmyVWx/gJcyxlt2NtYzCiFm96RcvnDtwdxwNPg0pgz/06NPUAp8jR0+CjdGeXyn6KoN9/A89623sBFcHO46xNkVa283JG5co1cE0ObClQKpi/JgqgVpLiU4lic4BnmlukweVnjY5uD2d1V9U2dtTEb4f8rGveDx1pA7SQ0pJkJXGlqzNfI/49Es+YzUhBZvnO1WUZEpsZLrJk8fVe/q8+aUdPvTFGkYHDKRPIEWe9FFSEJUCunEmF2UmL2cNSzUxRoGyblVwbYjksx1VOky1GCtRzKIpJtO6Pk4hq/Ikd1YqGChefzO3tfgTlfctkiiMWFo4RWI9kthtDKEBlPZQno9M26C0LOsduwbowqbZ1mcCefYlSm6JezsrzLdrBspUPOM8sBQFm+cM+Y0ALguAq1INtU7rUjxyKeKpwi3xSsOBCs3t2NvTbmrVStvwt19tsdgOoJa6J6IUjD2DRCGrEamcrWew7fKeVlc959wUzfSE4rtf2ecz9wxZ6gWESjNIZGpPitS9EUUzthxPrDj2zt4yOZsXvZE6c1ZU+jwde23ScdjZcS+DXKQ75+VSMpUnbnUu63ExJldEFeDCJRSfEeAiO2Dlb5XhtMjTaO0GlibS1YjrR584yMa5mYtu/+r9v3Di1Dl8X7uKsNKVst4S8Uw3kX6YjMAsYye7BPTqXawvUbLESQXY1dnf5Q4XN9ydKriznQ0y5lYl5l7D4Nm4iWLkhFYuc3nsuODgiRqGACF13pxbVA+W4wdRcjWKL1+uRclBjijJE5E7GXm7WaLBavbuCtmzZcjS/jo28R2LJ06m6JKLU7BnudArqxeSJeMgZXNb+ORGFnMjy7GNSnftMDIdkZ2fl4KMcnAbkc5SyTS5GJMqYgwPNn+xnkwp3hNjAC+OnzvGHr3OOTZvu/wXdl364keX5g8e19iEcDjcrIV5Xae9TL0elCJVnhnc44J7/AON6e3xx3xWCFWQV+WJKDkTohRsFoB2DE46Crjsg5fv6ZbWqgzuEsjT/eq9tDQ0Y2+VvtY6QqmIz3+9xaHFOviFPPFK1mXlgmXtuIg1rJSzZzngLI3hKGnxMNRcvCHkjTf1eeDpBhiPOHFa3EvS7G5SlUoFc5aDpRTk1pYkSkmuyPS5TFcVmd3dsU/SFUOKlNVNtsLanJiKhE/5ecrSpfa2vO2lDO5v4DqVX6y1DiVLS222h7wuCsPNcWyPa50CpeYLJhoOJJWZ3OsA/RtSOFSY6xntwewgUNXahUwReRnoOLBzNlei1IRbAnc6n7DYtoO1wNbFgKB8xJs2KchjJ09URL0R8vUDik9/tclg6ENDo6XAE1VpMv75y995XYDnIC/JFDuW8ElBHsWayZbmLa8Y8sV7+tx/wMc2PQZJgC/ILzSV//1CB5fW0hzk5ZyFCz7TC0w5Nk+k0+OmxNpZUG+yrU+MKOlvUQp0qzFUobuLuMC9J3Kgl8H9DLy5BoPjE9GMFQwGmsFIEUWCMBJoSLAmRklLPVAYRLrFhFjL4Ov8cfsMH6bC1msALtbIE7nO81yKiALUUpV2b1AirU0pwF2APCubtWhdjFDW6SZMWlWB7uVs7e5KuQDT90OiMOGL9zZ4+mQDPA8hVQqqdG5IKbgUsnpSx12j7KAVNRYpkZQymaZUEmpKdmEYaq7YGfP6F/d47HidUeyTSI+BUfgJY58l88IZY3D3aMc+CyoDicEogcpsOCmwyvW8ZHo8X1ElSFOaZWiKVUOOA3w8LmEM+P8Tmc51QW4gNtLtFzo0DEYxw2GM/spXbsXTmsWlVZRS2FRriRJ7f7PMPe6YgKic2DWam/VAnTF2OcAsdiAopEnJKswZOwN4MTk1lygpczvGtjlT6/yxeO6lwaVWEYEf8uQJwa33NOgPfGh6SJFVDlKyB9fJYpa+Z5kasloUhy5BdZD8WMKnVIAVRh6tVsjrbx7xmTuHPHY0AO0zNBI/1eLKuA12y9JAJOTygGTM21WFk6MVhXSRjs2zVSUL8o11YJf5TnoCYcpuSnrOTcHs4zmONQAfA/04SX5DgOeOlEVpzaOPPsITTx7E2gT99cfOI4QgiUNMaJFKVE/K+B95lmVkXd87/+CicgWvy+KyBPay5s5B7vR2OZupVFphmFYUunau9LkuzwcfA3d697IptGmBv1axu+sIz4uIbcLn7q5z15N1qGmQrqHZK5XwVkpjy/fyi2c7OaX6iqKpXKRDJ2UF6KOhx8uv7vPGl/R56kSNOPawQjEQGi8h/0wiKVi8+AjrM3kFICpjbsfm7rUbkZ3p8Nzvzxg9W21TBs+Hdo6BuxJwVkBeuCrrAVs844u1v9eoWRr1BXxvwV20CysJFoG06VgFmS6zkmeVHuv949n/jTN28dy9kGWAl9q6yjsLVIBdkSrlNH3prsbArUp3XWyCmgHaK4E6c06cY+IelYrwvYhHj0s+/pUW4IP0EELlXUQq3Ui1nHUtO0LZERT5MSkJulICrWDukga3wu2IodLRD/k+8RprNe941YDb7x3y4BE3SSAyin4i0oKvFHRJBpxSHUhxeQFu9UBRAXr2U5WC3sh0P58sKM60t0zZXLjH/Bya0sBOWbr4KwmwQpIUx+vZA831MqDZL0rc5/E8w8ZpQbPhSoH13KT7A3Hk7qIUMJXj72dzS8qvC+YWpSs0fY/SlNUx3V1IFZEmCwrrKQN4PievDPK0Na3YbMrt7FAMwC/AXWHt0mPWWJtJFaViPC8mSmLuuL/OE4fr4HkgXXDpC1uaHFsOrMSawGpcnmTgsaUneQNEqUakUl2YSIxKHZVEMwo9rtoz5OUvciw+SByLj4TP0IBORBH4JZld6ABVSBT3Acr1RGXrUkmwyiKtQFnIhq4KK7ACpBWFVCkFlQV7p+fVlC/80lz3dfIg7iiNaXGx/jEcJ1srAWNJEsFy16c30lhr0ZNNN/5rNJIMBmngVgFoVYSL6v/lDLXWFswsIZFLlUKaZEtV1TGp7hEzVn8iyPfeyXcvzppvKw0PxdYlSo2BuzQUP3dPVILSJYCnEsXXEYfOCf7siy1GkQcNL5Un5K1pqrxLcH7hFvFHRa+sJaNqIVtJppQ3Byi3ZxVaXNMMJD/2+j6fu6vJgTPu4kuMop8oV2WYpMkfhNPfiSjcitJKkpdglAAubaHFZarRpbFY6c6RlcIB3JRipYzJTTmWWmdlKwG67NGXSfCZAT5GsKULxFgwwu3pY4VGa89Jrt/7vd/ZFPjefzl18uReIdJipXKWUIzdx97La0PEuKQY26ty/GfZ+zIbB5w+puOBc+CO3bORCWWPO3/Uhe52DkoV3OW9eopiqnT3Bx3lzQyeDklkyIc+2+DPb52CIABVQylNQ1nqyqbjKMgbnL1Sa1yRSS0noiTFZFgqAWoRSxS2Y3bRCkna+Fv0Qro2QsOOzSFnFiUPPeETCzd5wAiFEK6Udr24Zw0j2jI3isqqkl+I1pYuBgrnB8Y0fLWza917+b8puUn5FGKqj3lzjSlJqNxSLZU65G1/gjiGPZdet/mqa27+kj5x/ORUp915QxxH+L6uflmx/lWzPqMXurp8dVE6yIUsKUuSsgZPl7oya1fqwG1Fe8scDIUkUSXtrfKdHkobUSk7JkmySsGMvSM8HXHwrOSjX26k81cce+ed+9nfF1TGC8vS9y4HmqL8olTjUwGHKdeGFHMFXeCZZjWtxCSKRKVaPNF8/6v7fOqOBvtOeyBDrJAMEw9NWi+SHeskhWeSCc8MqiXplKa8LW42VvbZZAoiaUFaJ1sy3S2t+xvWpP64SQPUyupcZfN1pUnpvTLO1l6Ua/FnSz8XCIyJ6Pe6b7hw/vSUTpIQa+O8X3FsFS0B/tnBXrYFiw+cfbhyND0mS8o6VlaflwHuukgy/V16ngE5q3bLNHgJ3G4iq0kfnR2olEFlfreKUTJGpfIkUTGfvbvJvkOF9pZCOu8776Bh3RMoGH8t1hzDam6h2oBc8cRLE6m0Ea42RRYp/DDSXHHJiDe9pMeRjwaEiQKhSYRmIAQ6Se27jHzIHBVR4eM8BE7p0VqByus+nDSx1qZaPCsJsUWKX4CRDvgmkyklH7wM9jKQ14C9TJZrJO86xDp2LLNbkkB/GOMNQnQt0NQCTa2m0KnvmS9Jz+CBj3+Q9a60qh00/gXXJgLWb26osnb2OmPtDOwZc+dAV2UmL3S3yoLIbIsTadCyGJqvVILnRRw9p/ijT04wlB7ZBK2iaz5dQco10GU9WbEDnvlWGSmTeuFZC1uRsi9rcFGpT0mMJk48giTm59/a42/uaHDkrAYVgdFEwmMgBCopHA1ZDjbHQJ558xbQ2QWXvietS89bbMramSduKmxu079jpEDYYvVYayakwKcAeBnsrAPuZ/PEK3PIrWueH4aCeiTRnnYzsOu+mxiV7Rte2Rf+WZg7DwyoXqFZin5NcJHaj+sxYBnYYoy1s0RKFdymkCiyyuC64m+nYK743aW7dCzu6ZBOaHjvZyY4Mx+A0qk1KFN5Yiu+d/68/N0rLFVNdK17cihr0qzxoNyjmelNmd/zZgipSGLNtrkRP/3mLr/1Zz7tyAUE1kpGRjnbMMk+h4VEUCjsAuTF/7ufqBQx6fym4lEWjo+UtmBwWzp3qWVocwZ/hoCzBF6T4aqMoTGslYl1HOCZRk8MDEeWMLJEkUHXAks9cPtAJlYQxe4YlIOAyr87FuFm8M4/XP5cVJciUtCOgWGcuTNgF6xdTGnN2TstuC8AXWJybVJGN7k0cXLElKRKxthx/qhVhA4iPvG5gPf89QQj4zl5IlQuT/Km4jFLrKK7c0k2xgLPwjxVq7AM+ixlb9NNvkqltKmrEhtNTcf87Nt6HDzh84HPOi0OikRIhsYFnDIhZ/CiACs7WeXurcKudKAuJIu1KZuLgi0d6bhSV1tJ/DgZk9elp3gwZZKrYEZU8UMJ6N9gUcw3EzCWOLYMhjHDUcIwNOhN0xGejTjbNLQHTr+4MhSRj5Bb84+LtYAf973XWkFraxPWFubYMYliS0FmukV3ectAVXYdTEmqZGAuMbksqgNz3Z0/ulmDyyvwN19usDLKwO0A7kmnvbWoypPKqpPZZeudkNLBK2vt7OSUnYGqPKEYV2bG6sSlRBmFMZo40Uz6CW99TZ9P3d1gqatARmAUEU6Pj1cXVsHyzEzu8kBFUiirT8mCTZuyeA7o1Cc3ljHGducTIRzDk0oZKC64dbBUkSvPxBd5AsqBvNtPWFxNMNqgE4bEdsQoSojjTBeVDkL5ZJX19tiVlgO4DHq5FuxrArJy25ModHYBHFvR3oWVtjaozIbTFOBOKgFmFmRm+9zoEnt7jZjPfbXG/U/UMSXt7ZoaMnlSrTfJW7NK7F32/MtW+Pr0k7JnbqEVEmW8GcKWg04r3cYDqS8eJx7axNx4dch3vbDPhz/vgwpBSKwQjIxGCeG2IMkCTVGAelyuZNagtSLvDbDWHf98V2pZKhSTrmWswtzWXfC2hAGTkVjG1jb7WWFpPiNzi7W4W3M0hbNqfR+kFyNUhL77ccXKsuD4iZjZSVd74Lqyx2oGSv9I9Y+WWbz6fBzY+UUgbSFVxhhbiDH2FlVgFy5K+lpZdDpiTMrUMZE21dUlSZI5JrIkUaRzTwIv4shJyZ99rsX5ru/2u5Zu0LsSFDs2jMULa3R32Xd+JrapEk+177VcZVia6pTpcVvpunf757hHt/3JpmbCj39Xj7ufCDhyQYKIAIVBMhSytIkUlMtoReUqLJVJZ/+fZzPT81Bmc+GeZ2DOZEu2ErufZbPfRaq30+dZb6YonlN+XmZzIBsm5D7WeEmIy634nuDyXYrrr4bZWYM2iSaJFGEIsTFIpfIRank9ynpL7zrgLl+BZUAjKC2RVd2dLV35gc/rq0vMrTLAj4E8n5E9/jzJtXfG4jobB6xilEzQqS3o+xGjxPAnH5vgrofrrrdNaqe9pXRdO6KYv5J/1mxlKV/M6zB5GedlrK/NYBauRbHHe7l8tlxG69rNTOaoJIZYalSsefnzQ37mHR1+7U98RrF0GSgjiVNXRRpR+mwO5JVstXUtaZQ+n3stSrFB2l1vwUqbBpgivwDyoDO/6G2lXkWk7F0OKMel7HpOSrEiun+gwKZDvZRuwGrgKTwZoEQdPTcpkbHiQkO56UXlgE+U/tg6y0ZlSSl/0Aqb2zXF78W/XR7ssw57l/afl+vJE2nzbm+3bbYpSZTS2N9Md6czrvPgUsZ4fsxXHvT41F0NRqEHdZ1r75y988CWyn09b79yfMgCzvXpu1zYVExVLYMbrMqqDKu14omRSOOkSgb0ONbUGzFvffmA2+4acPuDytmGuOq5SGgGGXmRsWBRkAWOhYuBfaWAl1Jdikw/pwSVfr/stU2lSQb07PxaITD59oNp4Fki0DJubOm93KcfI9Qy7hC4FcG6GLLdk8yvaCKh0TVfuW2qaxrfK2pRyiDP/7FvgrkL4Nt1AL2WxUVZb5e9ZVlyLDL9m++n7l7n2jufhFoAW6sxoKsC3DoFt+9FrPYsn7u7wYFzNSdNhCuJFZn2FpQmSNk14M6/W/79RQnoz6JPMnBb0qi+pMXHpcpY4me8XlxKhTQJ0miikeayzRHf9dIe9+/zaYdp+tU4PR6iyPaBkKTeeKWMtlhzLC65k1+Q0rktKm1pK9g8kyppwkekNeQ50EV+3g2l42cLhh8HejXgtBWM5Vgr2ZGydCythcEIaiPQWks8z22b53uisL7Glop1gV75MHbNclNldncgsiUoK1KqsLfIgsoC2AW4Mx+8CC5lPpjdVhi7ElBmiZyyiyJdp7wh4X98vs57PtnCCu187wp7U2hvuc7nLn3HauLrWerpS+xdqeRjXH9nTL62la3YZdpgEomRzhdX0hAlHlIZfvYtfQ6f9XjPpzRRXIDcIBgJiTLZIIlMK5RAnoM61RW4RSCHv7BFq1gGdOGALLP/TGRSpRgxkVmFVpS0tyiC3iI2KB3Hsa3D1wO8wOVuhMiqLw1RZIkT0J42BNp54Tob5PZsoB5j6HHmrgK7muWrMHg5qCy9l3ncGbMXM/FS73vMMZEZuNWYPBnbs16le884DR7h+RGHz0s+dUeTXs+DulrL3nnNd2l1EUWCpyLJxp7DN07yFAxeAj2UtLiouCc2bTrIgS5Lm/FKp8Wl1ERRQqsZ85ZX9Pni1+ocPpcmFVx0RSIEA7fWuM9oUnDbAuw2B3XqlpAmf/IFJ3NSstS9Y2+VgrCQJ1Wg5wHh2CqfHzv5DEAu4W89fJKSqDAQRTHDMGY0itCtpk8campBoX/GtU521Yr1/tA4uNf70BmI88RImQFtRZ6IfPZd4Z7k4M6YW5QHs2fOialstyFLskTK1DFJmVzrmFFkuO2+Jl9+pO6Gg0vPAXyMvbMiLyUElWA4X2qr6efsIIlvhOwqoVeBPlYlZ2UhU2y6FYnT3aaQKUaSCIlKJEYoopHmNdeFvObGAae+4DEyaReLq4QiRjMUIE1p2yohcgM7S/2oHF5F+YaSWa4kTekLUZC9defUijTwrAC9yKiaPNlTzMoRAlfWK7LPU47nRLrIOCYodHh6IZSOZRharNUI6aO3bNm2GkfDL9YC73uSJCnQW3j9BcbHrp4qyO0aUJfrpKv6OwMzpeUrA32JsXNgZ0AvykarzklVf6s8/Z6UnsdI6Tp1pB9z54M+v/3BSRKrC+dEKoSQbh8gUaTlqwxednzWZ+9vIolZnI2MARmXKbYiVwzZ1Ku0GEsUjkquyaXzxoXRxLHB9xN+6Sc6HDitufMBifFFCln3BSKjGFAWVLYkS9bR5LkXnq622edNA8pMh4v0AjAUoyRsGQ9Q+ORrmiDW6bovAZ7885alTHEz1qK0R7PV+uL2HTtW1fXX7OitLC8ekZKfwUYoLSr6srIsV8pY7ZiHXar8y4IxtbZgqlwkVaTeMzuwSMWr8erAUkCZF1Q9A7jLUkVXEjqu1/L0suC3/2ySux9puk15pGtHQ3poKahLCCTpJld2be125Z42QOdDcqrDiLKad6nGGqZLx614LUoXvV17XDMyKM0BFONSr/wzCxtmYwJtuf9xn9VBqbYgDTOzKeJFxWHKlhXgfzNXa+lCyC6XkvSCopirJObX1JO7XywsyWq8UpQQFCudzeMUNzDJUA8ClpYWf/ypp54+oH3tNi5KpHHblWDyjpI1xVbrsXcpuBz3u8spWqevbIXNK35yZVuMqjSR62jubIeBde+qHFimpbDp88RP+LPPTPLprzaxNQVCOXQKjZCy0m9Z9Dc+S8d8mX3W6LrqcSsTtx17XQaEe17tth/v8DHp/ECbMre1pqhRERJpFInQyEHCW1854OmjHu9+nyYM4gLgQmCNx4g0sZfl1xNnYltsAcqUQS1pdtPYDItFsJkxMo7NnT1YLAjZ+beUAswMI0mGn5TF7XgMWLB75XqzqVRKgZ4kllFoQBiMseipVowUgiiOGQzcNnJxUqSHxwtusw9V/OHsWI2PQy6D3I5JlLJzYhkfwVsBe+Z3ixTgJe1dYXCZlJyUMrgTZKn25PYHAj74hSbDJJ2CLzJrMM1aClvR3uum5stAh8rFXJEra87G2lu2m0HmPa/JaGLXlNBaWcpsypKzIpQrzJJpcZY0JEYTeIafeGOPex/zuf0RZxdm3jhSYKxmZFwGOy8iGbcOU6TmUkoIFJk0KYE8a3ooae7sdzLQCgnS2gpJ2PR42bJEybKYIj1S4xxSTpIZiI0lDA0Gwyi2GGvQm2Z6SAmjkWHBQH/kDh4mPdzjkWqFyYs/KqmCvKLBs9T8es5JBvCyPVgGtyh29lJrdLipeuDj7C2TIsDUEf0R/Ob7Jzl6JsDqYrfkivbOJFIF2GOAZh0w5xAuH6hxlFdBPr6BQDWjWS6+KuvxtbUpRqYVh7LM4gqRGITQyNBw8baIf/eTbe79twHdYfpljMw/V4JmmGVYsuJuU4DcNfWmoLbkDotKA0orSbuSUjCnNSlFkqcke7PfKZNeRW+XfpYTqKgEl+XDnNupCQxDaI+su8qw6B3bPDxPsrwSsrQSYUzxD42nSDNJAqkfXHpvPXuw3AxQnhldSJTS6N11JYop+eClvsSUzXPmrrgmpd15U89b64g4gT/4RItH9tec5y0z5i6cE09UZYkSVdYuxyTjzJ1GTpSHbq7H12uYfMw5KRogsqU3A7NdW20oHIPnQaeRDuSJxIj0nqRSxRiu3xvxzu9r87sfmyJMUhaHPCpMUIxMpsXTXHsJ5LlEEaUsp3Ab9Noym0sQpmBumU6ZtbaQLePH1OayRORJHMbAXvCFyH9eFhhSumrCxG+h6y2sSdBM/Siq1qC78hSnLtyG78scZOvp7OKE2uprqpNN144KGHdQqoAuAG/HZEp1f8aCvZNCl5eTOpV7GljWEr50X8AHPtGiPfCcB5h63qRNus45KbKW5VJeVfnca/V3fiIqYZnIX4txQI+x9hq8V4BuKSeACtbO9mu3uR4vpIqzEROpkNa4epVYMVEz/NTb+jz0VMBtX1fQiFOmTj+hFMRGMqTkVKQgt7jSWHLb0nneaazqynozCWMyuVHIl2z1toC0VWs166mUaTqywJrI1VL++7aEvew4p+dKe4INk/A933Mj1z3varq9Hro3qGFFneV2jfllxaYNAl9bUOMAzQqobIWps5MrU9Cvp7+ryZyS3s6GppdlSUmSFDKl2GHXATyp+t3SWYEy31fdBZZSxkgds/+45o8+PsHhJd+1wad+t3uUBXuXGp4rIF9PnlSkyTqVl+tTeCFrx2pRChYvEit5IwTrpfHHhgRlhVjW5JvKikyqCIuQGhlZ9szE/Pzbuxw/rzl0RmB1WWAJkB5JCnLGQE4a6KmcSm2eJlcpu2eBZpYFz1l8TLo4uFTnyNhkPJ6xBbjTqyA7/jK9cLIacynB15LJpmbTjM/sZECgYnS2h6RO61DyDp4MgHJsmR7PYJYYu1p/Msbcsgz0Qp5UmDuVKiqVIQWTl3S3Munr8WROAXSlEqSM8YOY823Bb75vgk99pYH1VJGOT6XJeuytShfgWuekGlyPJ3UqgVBJ4pUBX2HtMbBn762tSSnr8AzQ5QA06/yRaVFT9jwNPhNDjMGTzlVpjyS/+DuKC6sCgjLdCiw6Z/JCnqQXWvaYsraSYE0qX3I3RaRBZpXJhXRuiS01uNiyLBGlQHRcMVBldpueF4MLWLODHifW9TWkzdpSK4XvB+cDT966aW7KgSQbpJMXNxUuQjFZqmzf2ZKPXd5yrvCwM9dDln8uygkbW3VIVGEN5nUnWcXgmOcts2BSxelzV2sSYvjsPXW+9EAjrTXJLEGZMnjG3sWuweV5g2W3ZE1ZbEmLly/2NckxsR6q18qVtbND0t19TRnkBXNnnT6ZHk9MlvgppfatxFiVvueex7FGWMlrXzjkTS/u44sYh4jsHoGNsdYSWxgaGBlBaCAygti64TrZloNxusdmbJy7WGxFmO5WkXnUaVY2fzSu8s/1n9r0Xt63s/j3yu+7fy/dvNYUP08SGIUxzeYUxopb/cA/L4RA/e7v/h5v/e6XrHqaVSXDHxr25gl8WUnElDvchcwG0pT2aZEF8PN+ygzUlQujvBvw2guiUgZbsQJtAe4x5i53xOsU3FrHJNLwmbvq/Kc/neTY+SBtYigSOkiNkIJAQk26QfY6HQOXzRYvkjnFaDhnHxYVl/mUWwFSSsoDk8pD+l1BfqkcOb0LWX09XqpcKWMorY6VhBsiD+TWliZX7TUhAGOZmUi44pKYU/OKQye1S/hUXAX3H2UOSDH+Yvx3xq/k8Ys8/XfWLlpV/3+MB7Ly4crPy783lv011gF890W7aE1M/Kun9x2+71WvfJnboyfQQ5Q21IOQZj1BKZX/a5VAs9KCZtbYOXmNb1mLp+9XJMp6gaUY2wM9kymqcE1kSYpk4JalgDKzBD0v4dii5AOfbHLgSAAtlUsSl9hx2juTJnmfJeMePet3zJeCzfyUi2pAKdZl8sJFWS/Z41jbjCV8ChdF5r5vNX0vBRjjdh3OvHGRMXt60oQwbuqVdd54NLLs3RPxE2/t8sATPscXSktVHnQ6GRIjGAoXXJKOcLOmXIdS6PK8RqWqely6XrqfCVtchLmMgbFu/GqVYaHFxwPOfBdQhkNDuxex2g0ZjUqbUG3beTmeV8dXIaPOIaIkybOZVb1tq4CvBJFjjglVoGfBZabHK3ubl7aHzoAt8uAy0+OGonCqJEvy91L2VgnLXcHv//kEdzxSK6oEs4xlCm4lSXcoLo9BLnSeKoF5PVtwPeCPW+Df7K3CUON1KSWQO4fCAcqkswGtKIG/lOmUwmKERRh3nI1Q7rVQ7jIShqRveOV1I/7pj3T4z++fYmWQATtFnBEpyDVxKnjLIMc4IJMBPiWL7DPme15lJS7pBSHSi6Dc4WPHjnFRM15tX8tXIVE9znFiCRPFjh07ecH119Dr9bNrFCamNrNh8xW3EV/47UbDQ5W08bjOfibdvbZAqmTpKVP678yYFi9JEFV2S8a6ctZUB2bP40pCZygtf/LJJu/7RItu5LlCqoy5U9fEze4rnJNKUVV2kDM2rwTYJaZeF8zVOdffDNLHu+tzIGc/s9WlvJrwGdtfJ3uvNDDIWJm3t2UDPI0t9uBsafiZt3X52bd2qZvYZUts9hg5XW5jrHGafJRq8ii9x1YQGdwsc5tq8ex1WZuX9LnJNXqqySv6emxb8UyHp1o9sZYk1etJ6R4nFuXVOHZq6bdfcN3e23Zs31IAvDW5nbtv+Y3+6srqsTgJKi3/FWBn7FsGtqgGnGUmrgaYa/1tWWktKxi7bAHKDNAqSWVMlsipMreUMXiGp494/OVtDTpROhmTDNiZ7+06+DxRDiptpZtIlQD9TNnLXHaIte9T+m++GaQX7WpjlmEWaObDKcsXQakpOQe1rL7OR01k7yls2t5mrMIaRRwpWtryg6/tccWlI2QS56Cugj0pQG5xQWcK7jgFdh5wrgk2x8FdAnkWsI4D3RT3/PcrP7cYmw2ocqtUs65ZWVk69hPv/E/9Pbu3FRIFYNfet+J5NY4e+Borqw8SBKLib1f09rjuzk9yJkHMmqxlNdFjc1lStgcLHV4weTmwlKKUpRxLxWsv4fGjHu/8rWmeOBRgPVnIkpzBZckWtPkgn/GdGtazBteTKZXETikQK6+f35RcGQuyqr74uF3oXARX7+GAK20hWYxwAa6x0ulVazFWpr/jJmQJ47zxBOvObWi59pKIP/zFVX7m/xI8cTgNTmT2YUSxnKRyxeLA5pfsQ5O1tKUSJVsVnT9e1LFk/2ymxYuaFVvV2ZR0+bh9mB6j3BM3hptecDnf+fqX0x8M+dAf/YcqwBvNGTy/jvbqZFnJapo6S5XaCphFCcDjYM53upVl77v0fB2g56wtbCWoFJn3rQpgyzShoz1D10r++JNNHt0XkKgSa4ui3gRKtmAF1OWKxoKVx+cOrhkLIaoHPWP1Zyk/WVeeVDBeymLmfZqV98vMPlYzbt3cbmNS10a4ybQm0+NYjJDpuZNOjxtLgkELy/VXjPg/3tLjl37XoxsL8CAvIsmaKRFgFIkQhFkbmxEuk5M+WlwzcpbQt+lctiwJlHnYWXApUyBnvZtyDNzjgM+qViuH11qazTqbN26gm+rvCsCV0mjtH67X60dazcYeawZuRkq+9JaAS8rqlYvAVsCfg4MsW1lm6nGQp5JGmPy5kzpJCfBJWo+SOCYXMUokaC+hb+ADn2ry8S81GWVgHmNuhLPo8oKqZ2DvSoAzztiiAHY1mSNycK9F9jeSJ+PsXQIGVHS4S2qsZfRCstgU3DJndWEFIq1REVa6oM1a99ykQae1JInFF5a3v6bPvhOaD3yyRS/CHTCTojB7TCGcGFkEkmmq3tXIOCArkdWqFKAeTwKVa1Mc0IsuIFEq/2AM8OWgNLaGiWaTer1xJKgFh0dhlB/TrJyM6dltnDv+tVtbreZHpqan0SrKdbPIJcM6GrzkWcsSS7tipUKHq4r+Lv13ajwbWZS8yrI1WAJ37qDomG4I7/t0k//rfRPML3l5bXe51sTdRYm97Zps5ZqZLeXyX8bAXn49xtqVn4lnB3eG6nKhVf5e5aVIGb0aYFZS9lnih9LPjag4K1VdripbFboRcIrNs4Zf/ck2//gtXVpBnM7yS0p63CWCsAlYgzFOjw8NhCbV5MYlg7IAM7YuGM2DzTQgLQefZa2da+/s99ZL9pQC0NHIsGHDHM1W6yOf/vxdt160a9taBgdQnkbr2ucD3745DtR1iUnINr1fr967zOKZTl/TVVJicCGqLF7W3GXmlmIswMxsQVEqf1UJsmb59OcbvOu9E5xf9sBX67B3NWPpNm+tDrCveN4ZoMeZu+Rzr2dTubfENyLsb8jmlUaTklSBceYuDck0Np0qJdw22qIAtrCFJy5Extqkj5lccSyO0UShZct0wq/+VIeljuQjn2tBLV061jC5uxkkEa7Iyheloqs0E5sxOCl7G+GOf77fj6CYjlUmEDLtLSreeW4dpvEIyiOx8tFmo/55a4eVYyrLLy667PWsnvnM3YHuPhh4Y9o0z+iVEy5Fat11vJeZ3OQALrPzeGPwGnCnDQrjPncZ3FImqMBw+LTmw59rcm7BL8Atxu5SIlLNnTknOk1MjHfqlBuhywe5LEvy4DG92sv6+5tUJTmYn/XnJe+7vFXHuh45GVuPuyrFwCCXti+n86ssnpQcljiUbNmQ8CPf2WfPjhDClMVt5rAkhdOSMnmW2g9tKaWf30XK5O65seuk9lObM3dKxu9lJ6ZcApCAQbGwGj74Rx/+0t0//PbXPTPAAZpTu2hN7QJVJzHpL5Xcj4rfLQsGVqUgUa3zO8XAHlP9PVWVJSrV4jKXKWVwp13xvuHIWc1/+MMpvvJQzTVQVrzusvftPO9sDISWa7X2esN8Kr8jyyvXmEwh6woXJSZfz3EpgqpxlyS7KipzUuz4Y2EZloFczE6p/qxclGVxS701mY2YypJcuki3TYp102qNUZih4NUvGPIb72xz8bYQogzkSW4b5vUrNskD4tjC0MLQiNQvH5Ms6etMLhWypWQb2pK1aKueeH4RpMpCSstkq84Vl+1i76U71xCFHn9jauubEFKFp879DaNwP7WgGiRKMeaSlAJLcu1a3PPgknUCTGlKLorJWV9UwF1IFSljlGc4Pq/5j388ycdvaxCKdDeqnLGrulvi2Luo815n+21h10gS1gEnY8CtMPo3Iu7yD8foOwN8tiSvKRbPSmhzR6VaJ+4uFptmELPMZtEIIY0DuREu4BR5JlSmWdEiis0kS2wsNR3zju/okxj4938wyYn51FmBdGI9ayRLfjGlcoO0t9NQOCtZV5A7/k7SZIFjNqGqaHwoSePsdzLSSecZXbd3Mz/3468N4zjhd3/9GwBc+ZtotRr/dnL64it77VOvxLaRwk1wzXR0tQmiCvbsqpKi5IVLs46bUgW2yOSJzMphkzS4LaXhdcKJBY9f+u+TfOL2BqFMt14T693LGcvS8Pr0IK4rTRgLNkvIHfe/K6Aep+2/w20c1+W68LVp+4zxxJqD4gAAKspJREFUbS5hxBh7Z++JkhbP7MMC5Ok42LQj1KTgzhqK4xg8nfCDrx+gFfzyf5/ixLxPOoe5ehEaC8KQZYsNghAnLzwp8CrfxdXPqOw94wr3yMFdAJpUfwtRjKHI4qYkscxtaHL1lRd/9ZKLd/zbQa+75riukSgTE00OP31rp1avHagFMvG8BM9LKhOilCzqszMZkgG8nIrPtHoGbJWxdPlRluVI9n4GblNkKlXC2WXFr/7BJJ+4bR1wr7EF3UH0ZLVLZz32zsD8TPMY19Pj4wFmwV8V5/CbRvd4gDnuixdvCkz+u2n/bOamUB2in801LG/Tl885zLS5KbZGyVL61ignU4wijiU6gbd/x4D/9M42W2ajQqKUspzFvazLnWQJM4clz3wWbkqe2s/lSdUlKbslsRHEiSBKIIwhSgRIL6nXGwc+9je3dhqtiTWHVj/TMTdx+50z0/pFyTC+XqmkQkyZs1KAoCxbTCnpY0plnEXwKXLQm8p7GbjlGHMrZYg9wXs/0+LjtzQIVRnQeuyxBG6xNmM5rrururoA6HrjIcr+93r6Os9kCvE/i+9qNnNNUqfctmYraf3MEnTyprxbsitmqjgpJV/cSRPnKZMWZGU+eZL+w8KNtkUkoEl4x+v7HDim+e0PTBBDMcttzFWpfjdJnF54CeCJQrIYCyp9LclGEomiUyc75GXbNL3IhQAtBejm4wtL3XfOzbbW/fvrAvzSq17PucPvT2hcZAdLRzAmwSILD9UWivMZtXdFh5uS9jaltLxxF4EoOyoJqhRUSmVAC269u8ZHb20wkiql2jKgS+xNIU2KfXVKgKYM9KyjO63NHgNtOeGTH2zKr0tUn/7CmjLZbwbcpV+syBTGUvWUQZ9dBOVREym4s0GU1i3vpmQdln30AvSuGyg7n05Wq/SCV3k5aiAMP/C6Pg/s09xyTyPV2FkK3xbPbfY8K7t2kiXKG5Hd+cnS95k2z6bZukXJrUy5dMHJrjh1XCJjCTzF3isusWdX4uSf/PTr1z2+z3DdwYZtr2bD1pd+dG6u0ZuZ7FHzR3g6ya3AcTDLClCrafbidVKVJ2J8jkkG6jTA1AbhwWe/VuNf/94UTx4OsFKuD+xyYCmybOV4YFlN5FTHQdgKoAvMVrfCG9ctldT9GKi/IbjH0phr5YnIXxTFVevUp5iygzKW4aw4LuUxzLIY6GnWOiw2sxGNIrEKaxU2kVyzJ+L//hdtvvNlfXJ9UbYQ80Kt7J7kW6BZC5FNi7VsWqxlS5LFVBNAbnEpdpuLDAwSwXIkWOpbmlPTvTe//saP/sD3vPQZj/EzAtyrX2zvuv++33/w+PMWj5/vMtUapIFftoxnSZy0uKo026QKajPmhoy9FknK5AkiY27hLiSh4dN31vml/2eSp48FroB7jdddlSZCpkElpZ0ZMv3NOKifRW78/9r78ng7qjrP7zmnlru9JW/JS95L8l5ewksChkDCFgbyURGUxv6ANmo7raM9thuoiN32tN1uw9gio+1Ct9A6H7WV1pEWHKZxQ1wwQRCCCBFM8kjIRkLW9/L2e29VnTN/1DlV55yqe7OQEGD6fD4391bVqXo3db/nV9/fnmdVQfaVK60taZyP7ib7hbVpAB0GmNN9mikRyHDvxC6u83Gde0szomE+VMdVmC1n4HWKZf0BbnrfOF578bSy+Vk8vNErBnrEY4BXBVAXWW6e2Lml/VtXTmucoDYdYMmc/fjof519aGzkgZuXD/U1vNUNOTgAVNkFGB07jK/esx7XX7UPvbOAKKKSg5tS3DD9aRRFufoVPTHMgcn8KAE+I4qWAP9+fxF/++VWPPl0I3DTVJJLSesm1CRbvEdl4dgpYE3BrmPWMiHmBA9qaD96Hm6XyEsCqbTjCsRJsXzkSXWRWlSIydtT6woFkZn3OjeHjD6EjFPhGjePOUoaJYM68LKFAT597TiEAH54fylmI6zh/xBIWDYDiGxTTtP/l0NyKtrKLCtFFx0am0KXzB/Dp95Rx2uvGIJb6Gh6b2mzg2cu6asx5r9HkJVT9z48G5MzZVTrHsKIJoZ2m6YQQ3KndITRPOtJZICbkgiExpz7Rw8U8ZF/bMWT27x8cMOS3tSONVEJDFrMCUzpnaEkhsJogdkGO8zEB7UCzM0jQ1xPeFBQ0I+Z2T4pVzUpScrN03gVO25FeTQ1UyK3rCtWH86kD5CgEIIlXd04Z4jqBMsXBrjp/eO4/D9Na1Qkz6oS5kpyIZ0+dY2ypFI8/p5EgtSlAmVXoNOPcOkKhpXLzp5ivPgeoL/W7P42l+DTk/zilYPrF89xx+/76bPlnXun0Vquo+CFoFQkP74huRMQa4DXrCTxdpQqmPKdkQiEcQhG8JPfFPDhL7Vi47ZmLngT3JSkDh3dHJiN87YTeFNl044YTOqdJGAnhpRXUE4A34i3WPssFqIdIIm4tkNpTaVTc/Toi4Frl5B5nCSR8roUB4iqccjjeJQ4ICSW4lzmmBElYrk0pyLGMJRqWA9xxkCAz35gHEIQ3PtgAZEtNgWXocraF02eurF8jtJng7xZUuGVzIyQ2JdXdAR6WgQc3gVRet24cPvXjx+e5M0w3FSCDy7oxtzZbQcrxejqs1acGUxNS4qifRXdu5ln52YZxVIHt+LcIQiNwf2LR3x86POt2LhDgVt2JiC2cqk4R5qho8d5mz0tswBOHDvISnIT5Nl9yU9hzdP3H+sQ1kvHg56rCZjviaRWWpHmvk+PmVJb6JLbeql4FcXP03YpqSQXnKVKaJ3g9P4AX7h+DC8/twqmS3JuSW4eahJc7Yu/LJcKaCAluZ7Opm47o4DDQgyetjw4eDi6mrktB53CnKb3tSnACXVx6MAuzJ3bv3tw0eKn29pKYDQw8iSVu11PCE7CXQ03uwK3RklUnAkTEA7BvQ/7eP9n2zC8w0NSZoo0UCqhwA6TmsDOztG9l3nSuxFlyZZdywW0Dnx7BWiC4EjgznPfJx5L2HybJHzcNiVyZUZMAJ0qnwnooVtWkCiTKV2hFoVR9VVSxTMJuY0oRJ1gaEGAf/qrMVxyXhUsitIwWxW7wi3KoltcRLwoOFc5n7HyqUyCKh2uFnIUS604bfHQ0wsHFuzesnUnysWmEG4OcCCu9XF47307fGfmnfP7B1HwZ+C6MlxVmfqIBmIdvEb8dqiZDUOZtMDBPAHuEPx8vY8P/kMbhnd5ELmc25Li1AQ3I/n1vI+Ydqan41kYzVU2LUluglcY8+LjjeEtMh/kpibGdQqS/gWRAp9bNAWa1NYWhl24MwU5NaS5bkURiXdTgZ2l3DwBfByRKGoEQ/MDfPFDY3jFeVXQiMsALW5K7Ixk1z/H3FwlN9cFSbygtYhgbIpjydKlmJgO3vm9u3+9g7Ejwrc5BweAjq55iIJJUKf87MR+vm40fPhiHo2BEqplwFuZN9S0mgA8iUdRbnhCBKgvsPOQgwcf8/DJr7RgeIcH4TWxcSupTdNAqoSaAJnsnIY0BSrmW+QA3lwECYo1b2ZSVFOnK9riINpjVT/ebBieOnkhw2tJdA9nysFBNLMhkVzb4OLKqaOeCiK1nVPF3Yns9BCbWdMQACK5OpXcm4Ow1OqCeBcAKTwCjqX9AW7+0Bg+8VWOh37nY+chAB6Q/EeIcp8qy4qsu0yYPEYhKEMAWdULMV2ZDji629uxYsWydX/yx6ufHZ+YQVtr6YgAP/ISAMDcCmqHf77FL5Zvbu9eBs+ZTovuaJ0UHBZqVV5DUBamEpyYVhPmCwzvcXHDLS34wGfbsHnnEcCtmwWlQscSYAut5INZ9lgPrlKgPBrrSUba58aZEMPKkhHr9v48YNvOHg3w+jvs/UbMieX1BExriurtA83bKWweriR2ak0RGv8WWqyKcgDxBpJ8yYIA//jhMXzs2nGc1hfE4jjPLs71uPJAvhR94UnpuGkOHJ4OsfrcpWhtK9/8r3c/tOVowA0chQRXw68MAk77ehGN31Wb2X9VbXJYljOLuyck5j7NMpLGqPBEaivJvWWPixtubcGd9xZRjSjgHwncel3B2FZqtNkmOdGCyFpJGu0zw19ToCa7c3zwKXUhOKKIPoaRAbVhyxaJtFZzE3MiUcCWkXeG9Ff7oUUeQrO0iERyU6RJzDIVR54TAz9Ji9djUJQtgwA05OjpiPCWK2bge8B//3ILtu5xAU9ftupkJcFJvI/G7UdAOAAXEaXgYYQLVy3Cy88fumv1mQPr9x2aOOp7eVQSHACIO4j69PgOv+2y6wSZfTdhpQTcjIVwnQAuC2QuZ5CWL5YZOEkMikewdbeHT97aijt/VkQVxw5uZRKMFUottkQrEmpL5OSdwuDVNv9WPRzzEowznNymKEQD/PEgWTvXTnjQp5tWFFOpTPbxHCsJN+3iiTkRlkQHSbh3vgtff+VIck4RVQl8wXH1q2bwiWsmMNgXxL52xbV1S0uicNaBqAbwGsDrAA8goggdLUUsmtN+99uvWn3d3kNTO142NO/EAxwA/PIApkZ+ubPSeeETxVIvGJ2B49ThOTX4fg2eX4Pr1+H4IRw3TLg5oQJgBNQn2L7fwSdubcEdPy2hKmTFSwPcNPvS2i9TArPFNkzpredYJvHoFjihYtqJVn4gxzyogztDS3RI2mT7GKV5EjilfbaRbDiENIDqxzPVaYV5PdPCooHaqlTLJahTy4ue5kY1OiPnCWYqnsqMGBAUBccbL53GJ68ZR39PEMfOco2iiLi6LakH8lUHqdeAsBaDvTaDMwZm46pXr3riOz94eOfyod4j31BtHDVFUcMrzgP1F9+E+u8GUXv6TYTuQbVKsGkrg0jcsMCcjgh9cyO4Mt2rFhE8+riHW+8o4Xv3llAnMvPXADfJB7eGGgYVZ5KtKWjX9M6koiEFcSbuW/+sgdyQyJb0thVNHePHOhIgGvRDWUw0cBPdbS+phyqqo8eoCJH2jweMAjoqiIklziKVvIy4sKZWY0UgbjxLIatI6VGJiaTnAJXFP5G6+SkFojDupP2mV80AHLjljjJ+t9GNm14JApcK9PVFmNMRIW7TGl930w4ftck65vb24MzT+25/7SvPuunxTbuO+b4eF3OsHvwm/M65pZtv+dd79h/Yc9HO/RQ/XldGKGNUeMAxNBDgDZfN4M1/NIP2Vo5v313Cx/+5gsMTDAF0G3eT6ECqmweR5lZK6Z0kM1DLc6nVPdFLEhulnInWn1Kek5ZBjsGg96+k2memYlqkBzUuj6zmqbLJcTpWXDaZJGWW1bXsXpmUab1IVUk8pn9fIbdh5rhq883GXWYtyUbtYczjaREmFcufhlgIpA46K65IeaNpJD3WkeaxlvSUAQGhGJug+OitFXznByW0t3K8+YoZXH1pFUv7A0RBDMlQAD9a52PPIR+lyrz79/IPvNrDzukbrr3ymLF6zBIcAApdb8N3f/DAdNf8d9e//K1/wZZ9Y+CFghQvsUb8280Mv93o4Jl9FAv7OD719TJGxlUsdw4NyTULNga3o5v+YNISI+bEMAta1hFocywqopsIU6mtx5qYbFs1nzpaEZIof8mO7Fxh7JNmQynU81z2CUUhes5muk8lOBiJzDJqj1CR8PHYcx+L+9QkGNseKVKJrZeRIPKdIW7eRsGh+lcKGS/uUIGuNo6/v2YSxYLAYB/H+/90CiLk4HWGkLoQIv6933xpFaTQAtL2Z3VgdNr1jh3cxw1wAHjFBcsQcf7wo69bs/or//ZAcTqMEw04DyDq0xCUY3EPBxEE2/cwVKcsc0UzYBtcXFMqiaZU0mwig2kCzDbOUskZNl050nsuFycp6JvhmTQ8YoEZNki1/WrbOpYsAi16UC2EuNVI6t0kQnU6y1pW4nPjBRAn/ao64xSU8/g6NFVikfB7aRMHBeWyK6GIDSF2ziYVkay9ApQqAgO9HJwIbN1DsahTIIw8VGtFhJEDQMALKyiVXzPjsLMePkZV8cQAvKdrFkbHp/7u/W+9XGx46tD1jz72VMF1GcZrFNO1Oi44o4pPvOswXrmqjh17GdY97uKxzX7c9IjkxJdA35eSYiq/ZNaRYzpxjMI9mkUlEwqrfdZxZ9Se1g7ldUrLQDVXyTx69ieA1PdB8g7C4OaAJr2JfloaZiuEda4Nao64QI9y9FCACo3LE2icW5Zp4BSgHBSyszIIqKAQsVEyVX5BY0MJFQCn8unAQYSAoAIbNzv4p9tL2LWX4SfrCvjEO8ax8jSKaq2EqZkCuAjR1rmkWq688YsChY9SVsHxDnbcZwK46cZPi+5FF63rqrishdVXs2CCESGwZOEYbnzXIVyyqgYGgVIrx4ZNLh7fWABXjd0NSW0nDsdQVXmVCTWhwkhBy5XkROOkOsfVubfGs2nymWjx4prhhmr7Jecmkl+r81T5A5W7SZF+VtSFGtvIvmiWVqn52dj19BpUj3AErP0iWbjIuzbsfVb0pK1cGyudaEKCJG+6kDCepNIfIhyBH6wr4ns/LqNGHGx9pojhPR5Omwe4tB17D7WCev31YsvgTWH1mf9RnrUqfC4YPW4JrkabW6v3Lej8TJlO1jtLUzc4bIpecj7F2YuKqE4ROE4NcKM4s4kgAW8srVk+uIlez8RUIO2EBQrNYSPBneetJDk/UkNaYoNB+9Fs6az93lkL4dEIcU1qNwqjNWhJDkVJJLOKERAEXHAQkpaeSLi3bisnGk+HlOqS2sQ0O5XgytICTiEoTzONGnByShW3l84kaVaE4HGve0YBxwVoAQ9s6sDn/ncdlyz30dHewZe0DNxA3b7PHxqdqD9XfB4/uZHjfe96A+Z105mLzl961+WvOlucu9RB/+wyJqZaUA0KiLgDVcglJbOWcmlLbqgSaxrvTqSvHu+tKZVAYvPOFssU+VIzB9TQwJ4S7fgzsRZGBsQk9+MxD925Y2bbp3HTSdEffb4daWiA2s7b1F390uYNrQSc+ns8DaFVBT6TgCw99U2zkxtOoeQ4RZLCk9xkB3AKKBUL2LW7jN/8nqE0a7lwykvvGt7hzCxZ8YbnCs/nLsEBYKB/PtzC7Kfmzi5dMzWndms0uZaGUXoDoShAAu4jS24FcFc3A0JLYUKarZOxczeR3toyS+8ziLEN41iWl9tbGeNJshC047ZiqEnt5ANBRqKrd1uK69yaSItHYj0husJqVsUy7eZxSe8k854CXJaYolziUUZpqUx35Vziqs895VJKSklO1H5I9z2L76HsxhwnTcS9g+J7Q+HI0n8rV53D++YNXnPG6ac9tX3X3hMBzecuwQFg8dBSVAoH6kNLV32toz36y46OFrgsTlJ2vRDbtjt4eKOPyGliMdEktx7fncSUwK7jbVepEhkA5yqYlgQ3AKnTjAbHdEBngqwyn49+iGb7DSme48LX9sXbqVTWPaRJQrImuZVimFynQbqbmcScOouMtDejwCdNXfgirnsYCQckZDh/WR0LBwKQkEPwEGPVEOVZ3aiG3l9euPrcrw1v218/fdmyEwHNEyPBAaBz9hLUpp+Jehe9fmt9rHMiPPxMi++MYIZHuGttC7Zu8yGY7LaQdF1wDMmtZ+SYScNmfHc21ls0oR856WgKijY3RyptdeuJKfFNqZ3HVI555El0bb9KQlb5W0pKpxIcmpSVl5Ko5gRgQgFd91yKNKSWpNdJODqB9GYi2Rby0cNBQQWXDxFZU4Vy+WS1JLlMb4vvkUAIB4sHAlx58RR2ftfDZBXonjsXV1+1ZuLPLl+59ant+6Kzli85UbA8MRJcDeaU4JKDd5dmXXxtpefKEa9cwfd/7uJL323FlPAAljZh1cGd1u7OJg3ndR42gqnypHYjsCNvAZCMRM4IZlti6/Ns+nIciNclcbxNMlJZzUu3rUwfJa2NeBSkElynKLAltSWdE3e/mfKmjsPY1ng5p0bWT6SVm0jfHfhguO5Pp3DlmsPobS3g+reuGXnTa1Zeu+fg2N2tLcUTCckTJ8EBwPHiFH7BD9zGWq90xmaim360/t7ukakIcHzEnYbTZGGS8Ow0KydbGFMz+UFaTQDNXN6s1om5EAzrCRrwbTkhj3/D3s4BegbXTYCeSN/MgQbn6fs1549uJ1fxK2acuGwZEv/TUIoTQ3qnTwIhLSdqUSmjCZAWmSWCxHm1KoaFchnIptEgSWMAgrZCFX9+VRnnX3T5gf/8x6/6b9V6/bYVSxacSDjGmDzhVwRAaDc2Pn34Gw57PXXK1Rs95+HuGSYluF47EKpnTpqwkDhsFHiRKpVHlMjGcTNkFjnzlRpomxCJjVaL25DMv7DmP4ebZ4E4z8mDBJApLdGdRTGTEcklbGWTgCTeS91EyKX/IIkIUMorkCiIiYdVZL+zkFVrhaQ2oJIWEZiSXhA4guAVF5x34JKOSz4CTH+DkO6TAcXn5uhpNr78pc+g3L/qd5Vy4cBMTazZPzpdpCzuD89IXLPepwI+VRVgkfSxJ4BhCsyT5soeninJRu1zLKeOmqucNQrw2hxC0uAq5TRJt7XAqmSxEO0Y0RwxeQ4esxRcRunVqJjuYGn2rgRGOr9JuQvN3JlETsDULQydxP6M9O+k+FaoV4pt9j1eFDFtCUMK5i8eod7CD/OZjd9wymtOFgxPHsAB4P57/g1nXnz1hs7O1l0tHr1s3/7DPqFUA7jMyqHC8C4mAJA3V8+Ip9QMnDKBaPXcocgqphpQ88BvAD9ZLMQCsg5YxN5ODeSUml7MpgDXAJTvybTBrB8j1nFi0isFdglPYxGouRZgjfh4/e+pH9XetsBtd5aA5nUVgiAICEhh6YRTGLw2iui3K73vaWRAOiHjpFAUfXT44C2zyrdX6JyQQHxz3WM7C47vwpEgd2la41BFs+lP6fhHsttpp9zbph/qWDPFUoHAMAFq9ETNaTRM3mxNJI3m5Q/jSd+Ak6sAp2R2YjaJd+t2ciNakKSfCUkLwKrGrBBaa0L5f08TmbUAL6TUhFjb6oRUoU0VUcLjlEbiqHqVNXjlM6rUH/iLCO13huFM06I9J2KcUCtK3vj0X78JI5Mz0fLFc+8cmN/1lrOX9VYRBPCoQMER8JmA78hqsDS1bathAFh76d5K3aOpJwenoLWAbV3T/lv6ObndHPRzDN5tlW47yiGO4kCed9MIqkrmEM0sI6mBAqDcZxbutO3eljtfu7aeWWTHFcSRhRRRRBGGDEHgIAgYgtBBFFEQEqDSNlAtt85+S4BFdxIxFfUMvuPYAXWM46RSFDUe+Nmd6Fl+iTj3rPZN1Xphc8lzrpgYHXUrHlBwAZelSh8XiF3GmrBKQKwSEUheMJXFxS1KYjSVUvTEPm7zco2PKyqScn1iXCsO1tJoiPLeNqAojTyugElV9HtghxLYTx4o4aBxbZNDa4FXyAs9yFG65VCJVRm/g9qPeGGEnCEMHdQlsAUnICRCqXVw2i/Nf1vLvJ47i9F23jrvfc8H9J4fgAPAo7+6C/OXvw6zD2z+Q/fC/m0VD6+qz4wXiq6A58Q3N0y6cqUSJ1d5tEGtJxvnAd3m2RrIbHDrYKL6PqqdQ4mxANJz88B8FADPe9kAznnFYM9fMIbCCe1JqBaDcX1iPuU0oMfzhMn9Ie+1lk2kKGYYMlRrLmZqDqr1uLZ4qXXBWKG84N2P/z68fVaJo9J73fMFu+cP4ADwyC/vwAVXvgNnDrY/0dvTsWdoYc+aqD5ZisIqQg6MTFNMhRSBLESjU5AknUtXNptJ7oafiSnNc6wn+na6EEgCemM/TdsI6hYWHeDmtUgGwLlKppxkKp7EBLD1OVUkLYAivZ4eamtQMf1JoAE5+9Sw0uNk79T4FXeEODxZwMHDLgTtRM+8sw+VKvM+OFPr/Pbc2VX0LH7v8wm5k69k2uNzH3sbAGBk5PC3HMdx1v16zmfWrV3bPT55EM7BGdy/qQgCBz4jKLG4aH2Ge1s/TOaxqQNHgUAHQs4PrPPzlEcLCdzsI9uceQTOfSyEXB+J8qftUkqjsmuTWPFLjBlpxCyEICBEJE4dAk3xJFq1KyI0O7e0nydJD+q6QisoFJ8YVyrjcFkE1wlBSIgnt4cY3lZGqdSB889Yc2DJ8nP/Joqib5UrbScbWrnjeQe4Gh0d7Zienv76K19+Eelqd2+sHbq7OxBb8O4vzMKWvZ3gBQ8uJfCUDYGYSQuJREbjF2AtAkthzEiuzAJIlUYbaBnAN1oETcCtW02ItQ39WqL5tZJYFaQWE/VZOW1i3ZPEaWMEhnUlrsMtNEDHi0dVdqVQBX+4rLhBknMZ4XCcEJXyNLbvrePGbxbR1d6C9//5RQeWveyCj0QCXy9Xjj8j57mOk25FaTZKpRIcJr521tkrP7x0+WWjZy/pxdsuHQXDDDiPu33FfC//pUtvnafanFX+vsm7AWKkANDn2MOoYC3PT3FHGp54ROEtspuGxQSpwUJoQBcNztevAcMiohXkNNz4ev0U5VLXj2WjBVVkYfxdBBwWAajhO7/wMY0hvP7KV4+uWrXqw2EUfa1cOrGxJcc6TpkEV8P1ShC8dltX7zkj4eENiy6+4LT/iW896fIwgnBpwreVlzM3khC2pI6Hud+sWGUsBGTBbcSIA4AwW3brc/MG0VdMkyG0lz09zy6uTHcJ3ZAXSbz6REnpWAqrJ4Nhp9b8DvpnLuPtYxe9kuMEgEg6egjE9dgp53FjWQCUBAiDOuYt+KNgeW3OX1/2ynO2FkvFH5YKLk71OOUABwBCfV4dX3+33/UnHnefnn7rVd23/J9fbiI0iqhDBVwq4DIk9UhSQIqswoV8Dm7wbAvUTQQwrCnN9wvgKHFtDhvd2hcTQmRpT4NgLBWPYnBneT8Ub4cWG0K0gkFQQNf5uvxXyMUuIrl4BEAIA2McEScALfFix8XiijUr3tfeu/pftu3YVu87Z8UJwcZzHS8IgANAofVc/Hjdhnpbpf+2s8/AfdNVvGHfngOfevaZ3fAcCt9J3cj64zpRPJFuG+8aqJEzh8hJJrVpgtIExOYFj1LdbDgST6T6G9qlEgnclM+ngEUimVWAlcaxAaNJlQq8IuoaMoeTEwKqBZmr7sqIKCglspxygGJlAYjf8XGvvPR7/R3zdi3o3VSnxfNPNDyOexyvfn9Sx8c+/30UOnvZ9N6tH9/77L6/27F9J+NRDVTWqU4610E36eU5dFITn25PJ5l5RNXTz9AZQItHUdWpiDlPmQWpFZNi2tbNuSTnuybfTau8RXTbvmUmJTSNmNQr5prJ19JeTdJtqm9T1URMmgCp+TmW4XFKWxjRuLwaBAoFhu6evqiltevv5/e33XBo/2TUNfD2Uw2dzHhe7eBHO9becztec+nl4uPXv+m+H971bd93cd7kxJjDwwBByBFyIjV801ZOGwKHZOakdnCS5fWwnCdAai40HCu6x1K9p/too3NsJdjaznP25J5v2bT1JxGg/W3o9yqbf2rkjsK6VzTl6LU6wXTNA3M70Nu/urbo9Ks+29V70cf+4r+8Tsxd/NZTDZvc8YKU4GqMHh6PK5AScuPwU0+vvv2OH9Jd+6ZXb94+6rgOg8MIGJNJydTM/CEGkE3njlkTJc/xQrLggqopaIJVl+iUUqNWSho5GP+BRn/PiHrUailmymBQs74iSCqJ0+9pltEgSd1BU3qn4E2D1pTUjp036j2uLch5hFo0Nxybbn1wxTmX8565Aw/ySHzE9Rj8QsuphkrD8YLh4HljVnur+viRW77+f7F8xcqW2SNTXw29HW/ctfNZOlObQblAjVqECbWwaLSMv7e8hlreJUklWGZYOZO2BIw/m7EdyX5k9xn2b/u6yryX8zVIMjN7zSTgiqQapm450ZIurS+j1U6B7G0vACrtjIwEKBY9lFv7OC0M3QHa/i4EWydK5ReGEnmk8YKW4PZYv2EbKuVC1+ate6675xe/fdn42OhVGzdtRbnA4Hs0MSNqv3GiEFKCpDqrqvRqc/XkYa1JWBAVjy6ph0zYUNTHqHCVVL6yEiAMymHFu+Q9WajFuS1OnsfB9e8NKcnTGJu0Ei3TKszqunSMfyGfUhwODcFYHd09C1Fpbbmro+e8J/zy/C/xaOZgoTJ0qqFw1ONFBXA1Ng7vRFtrpf+RxzZ98bENw1c98ugTGB8fR8FncJxYrYjb54lEclNKQFncnTAtbyzBKO+EUqjUjbGlPTUAnpZIpvqCoYp7p8A3F40NeJsyae+NAE41fgzTRJo8CeTCJFSkfgQWV3hlTCTKJWTRTcGVdzICIwHKlRbM6TsdHbOH7prVvfSDQX1yR7m1/1T/9Mc8XpQAB4Bn9x2E57qLn9j49JkTk1PXbfj9pjVP/mEzJiYmQKmDIALCKHY3x+AgcBjki8j+QiQDDuU0USOjqFJVQ1zbVtaSRKKn3NumS2nQUwrMfMlt1weHVQs8Bbsaevy2+nGJBLfD5MsRcBiHw2JuzgVBEFLUA4IgiFCpVNA3/zTM7h1a6/ulL7V1Dm7gUbilWO481T/5cY0XNAdvNub2dAHAFiHEFgBPRGEw97xVy77y5JObFz/8yAZ2eKKOaj3mnw4zpTE1pHgKb56UTEhRwkGSksJE+cgbiIWEwhMNyAnX1k7SFxGBVrZYc9Kox4n1t3QPrloYyWWT76+FG8uLqQUESV1cxuE4HBEHqjUHQVRA38DKqHfeaVsoqb173sILnwUwnFvz/EU0XrQAV0P+AMMHD40MR1H06nKx0HfRhefcccfdv2r9+fpd5enJSbQVCRyqgrZiru5QgDKSADwuLCkQAgnQCWIJGtfGVoqfcl8b3yIBdVzVVef35lyR/DGl+Kaqo9EtDeaTRI+rgQ5yTedQ2TmqbB4QgzoJjBJxQXpGOTwvRKlQRaFQglc5bWr+oleMcx5e3dk1bzelbMeLHdhqvOgBrkZXZweEEDtmd3ftqs1MnXFwil9wzmr+v373+HC4eePmjsmxQy1UNaClgONQOCymEwAQcQIRcAjB4y7UyuhAABARu7kt+gKYziElvfV2J4BmKRGA4GmdQAJZeVXNUwC3qIYaypupkjuU0qgAzrl0yIRx+2tAUjO5YikR8B0CShkqrbMm5vQuHGnvGnJm6t47neLgb9pai2OcgzP20gA38BICOJBIS/7YU3tG583rvefAofGhT33m+7XHf/Xpv/rl2ofeunXr00EUzix1SFQIgiocRuCw2PUccSAKgSDgqAWxcsoY4LK0fBmAhgmUibkRqcdSAR2IARjJc7nqUiy/M0UMcjvdUTT5O0pxdJ1YaYwnU8zUCKZqBJEMxWRUwGUCnl+C67NqucXfNGdevzuw6Jzbnt3w9s91933FL7a0VwXfzwkZONU/4QkfL52l2mBsHN4O13XIT+69H20Vj7W3VW4Jg9rQ7md2XXTw0H7GwzoY5YAIMF2r49FhgVod8F0B3yXwXcB1CFyHxMqpctfTtAEVY0S+0/iznOfQNJeRcyAMgXooEIY8rudH0qZVjKbKryNbGTEWl9RImlYpUDPAdTk8l6PgcvheBN+LMFMn+M0TPsbGBUpFF77noqVSQE/P7Kh/wfz7KxV/OKxPXeO71WhwyYXgUShaZw2c6p/opI6XlATPG8uGBoBUGIZjY2Pv8jxv1sjIyKfXrr3P2793dzSrzV/ZVolWFdhm/PqpSTy9v4L57QwtJQGHUrhODqe2Yln1eieUSHOkBtbYbAlENY56EAOcysVBIPsbybIOSum0nUR63UGlH7huiHKxjlmthzH8TA3rtwxixeActLU4vyUIHp2/YAG7eM3L67NmdfxtvV4bbW09NZk1p2q85AFuj7a2NgAYBfBeAHhywzoIkDUerV3WVuq++r2YWPKz9Q6e+sMWeF4ALmoIgxAOIQBzQYmszyeQpHypoRw7qkuL6wCeK+A50tQ3DRwYjTA5FcX0x6FwBU3c65yq/pXqeppnVv5NHgpEUQiAw3MB3/fQ2kLQ1XsudkwXcNGFvZuH+lrvaGvxfsq5WPuay15+qm/5KR0veYpytENEBwDg1WFYX/Tg4+P8ppvv4C9b1LFwUX/n3+ze/QxKRRcjhw7i0KER1OoxRy/4DjyXwnUoHCd+V3TGc4CCDxR9jlKBo7OtjtGpGr5/H8PEBEVHC0HJpyj4sRc2oUCMwHXU4ojNeQQhhABmakClZRbmzumGywLM7e0FifZ9puzt2jZ/yZvp3rEeSmlhKyDuWTh/1qm+pS+I8f+dBG80COsGgHvU9t69++H7fvuu3c8+uGGDA993gpUrTr8+DPml1XqEMIyw/pFHUatOo+AzuA6F51JEUYAgDMCkeGeUo+gF6GmfBHFGsXO0FeMj5bhzMKeAYCCIX67rw/M8eI6A4wAFT2BWewmLl5wFQhjqdQIOei/4zBccGrm985eivePStWFQP1xuPznFK1/s4z8A3mDMmTMbAA4D+HcA2L9vL0CwKQiiniAUPAjq2LhpGFFYh+vGABciDFacteqTM9OTr2UkDIo+UCpGaClF6OqcApsZx/krWzA5XkZvu0ClGEtxzyMolwpua2vLDx5/7LFPOgXPdRzAYRzlcgUDC5eBMRdhRKggbB+AbXN6ek71LXpRjP+gKCdwPPTQQyCE9Bw8uK+N8Loo+ATFQoRyMUJ32wzGq1P43toypieLmN0mUPIJih6F6wKVcpHMmTNnTAix75xzzjvV/5WXzPh/sGqRj9/BJZEAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6NDI6MDErMDA6MDCxx2q8AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjQyOjAxKzAwOjAwwJrSAAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 32273971
{'hecke_orbit_code': 9010429086926816, 'n': 1, 'trace_an': 4}
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id: 32273972
{'hecke_orbit_code': 9010429086926816, 'n': 2, 'trace_an': 0}
-
id: 32273973
{'hecke_orbit_code': 9010429086926816, 'n': 3, 'trace_an': 0}
-
id: 32273974
{'hecke_orbit_code': 9010429086926816, 'n': 4, 'trace_an': 0}
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id: 32273975
{'hecke_orbit_code': 9010429086926816, 'n': 5, 'trace_an': 0}
-
id: 32273976
{'hecke_orbit_code': 9010429086926816, 'n': 6, 'trace_an': 0}
-
id: 32273977
{'hecke_orbit_code': 9010429086926816, 'n': 7, 'trace_an': -2}
-
id: 32273978
{'hecke_orbit_code': 9010429086926816, 'n': 8, 'trace_an': 0}
-
id: 32273979
{'hecke_orbit_code': 9010429086926816, 'n': 9, 'trace_an': -4}
-
id: 32273980
{'hecke_orbit_code': 9010429086926816, 'n': 10, 'trace_an': 0}
-
id: 32273981
{'hecke_orbit_code': 9010429086926816, 'n': 11, 'trace_an': 0}
-
id: 32273982
{'hecke_orbit_code': 9010429086926816, 'n': 12, 'trace_an': 0}
-
id: 32273983
{'hecke_orbit_code': 9010429086926816, 'n': 13, 'trace_an': 0}
-
id: 32273984
{'hecke_orbit_code': 9010429086926816, 'n': 14, 'trace_an': 0}
-
id: 32273985
{'hecke_orbit_code': 9010429086926816, 'n': 15, 'trace_an': -6}
-
id: 32273986
{'hecke_orbit_code': 9010429086926816, 'n': 16, 'trace_an': 0}
-
id: 32273987
{'hecke_orbit_code': 9010429086926816, 'n': 17, 'trace_an': 0}
-
id: 32273988
{'hecke_orbit_code': 9010429086926816, 'n': 18, 'trace_an': 0}
-
id: 32273989
{'hecke_orbit_code': 9010429086926816, 'n': 19, 'trace_an': 0}
-
id: 32273990
{'hecke_orbit_code': 9010429086926816, 'n': 20, 'trace_an': 0}
-
id: 32273991
{'hecke_orbit_code': 9010429086926816, 'n': 21, 'trace_an': 0}
-
id: 32273992
{'hecke_orbit_code': 9010429086926816, 'n': 22, 'trace_an': 0}
-
id: 32273993
{'hecke_orbit_code': 9010429086926816, 'n': 23, 'trace_an': -2}
-
id: 32273994
{'hecke_orbit_code': 9010429086926816, 'n': 24, 'trace_an': 0}
-
id: 32273995
{'hecke_orbit_code': 9010429086926816, 'n': 25, 'trace_an': -4}
-
id: 32273996
{'hecke_orbit_code': 9010429086926816, 'n': 26, 'trace_an': 0}
-
id: 32273997
{'hecke_orbit_code': 9010429086926816, 'n': 27, 'trace_an': 0}
-
id: 32273998
{'hecke_orbit_code': 9010429086926816, 'n': 28, 'trace_an': 0}
-
id: 32273999
{'hecke_orbit_code': 9010429086926816, 'n': 29, 'trace_an': 0}
-
id: 32274000
{'hecke_orbit_code': 9010429086926816, 'n': 30, 'trace_an': 0}
-
id: 32274001
{'hecke_orbit_code': 9010429086926816, 'n': 31, 'trace_an': 0}
-
id: 32274002
{'hecke_orbit_code': 9010429086926816, 'n': 32, 'trace_an': 0}
-
id: 32274003
{'hecke_orbit_code': 9010429086926816, 'n': 33, 'trace_an': 0}
-
id: 32274004
{'hecke_orbit_code': 9010429086926816, 'n': 34, 'trace_an': 0}
-
id: 32274005
{'hecke_orbit_code': 9010429086926816, 'n': 35, 'trace_an': 0}
-
id: 32274006
{'hecke_orbit_code': 9010429086926816, 'n': 36, 'trace_an': 0}
-
id: 32274007
{'hecke_orbit_code': 9010429086926816, 'n': 37, 'trace_an': 0}
-
id: 32274008
{'hecke_orbit_code': 9010429086926816, 'n': 38, 'trace_an': 0}
-
id: 32274009
{'hecke_orbit_code': 9010429086926816, 'n': 39, 'trace_an': 0}
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id: 32274010
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