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mf_newforms • Show schema
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{'Nk2': 1512, 'analytic_conductor': 0.7545862991010996, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 504, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 40, 'char_orbit_label': 'bn', 'char_order': 6, 'char_parity': -1, 'char_values': [1512, 6, [1135, 757, 785, 1081], [6, 3, 4, 3]], 'cm_discs': [-56], 'conrey_index': 181, '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': 9009879331112424, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1512, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.7545862991010996, 'char_conductor': 504, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 40, 'char_orbit_label': 'bn', 'char_order': 6, 'char_parity': -1, 'char_values': [1512, 6, [1135, 757, 785, 1081], [6, 3, 4, 3]], 'conrey_index': 181, 'cusp_dim': 24, 'dihedral_dim': 8, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_orbit_code': 2680076371432, 'hecke_orbit_dims': [2, 2, 4], 'label': '1512.1.bn', 'level': 1512, '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': 48, 'mf_new_dim': 16, 'num_forms': 3, 'prim_orbit_index': 40, 'relative_dim': 4, 's4_dim': 0, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 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, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, -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, -4, 0, 0, 8, 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, -4, 0, 0, 0, 0, 0, -8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 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, -8, 0, 0, 0, 0, 0, -4, 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, -8, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, 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, -16, 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, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 4, 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, -8, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 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, -8, 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, -4, 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, 8, 0, 0, 0, 0, 0, 0, 0, 4, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 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, -4, 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, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 8, 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, 0, 0, 0, 0, -4, 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, -8, 0, 0, 0, 0, 0, 0, 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, 4, -4, 0, 0, 0, 0, -8, -4, 0, 0, -4, 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, 0, 0, 0, 0, 0, -16, 0, 0, -4, 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, 4, 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: 42096173
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 42096174
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 42096175
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '7.6', 'twisting_conrey_index': 6, 'weight': 1}
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id: 42096176
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '8.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096177
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '9.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 42096178
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '9.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096179
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '12.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42096180
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '21.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 42096181
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '21.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096182
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '21.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42096183
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '21.17', 'twisting_conrey_index': 17, 'weight': 1}
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id: 42096184
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '21.20', 'twisting_conrey_index': 20, 'weight': 1}
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id: 42096185
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '24.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096186
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '24.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 42096187
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '36.23', 'twisting_conrey_index': 23, 'weight': 1}
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id: 42096188
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '56.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 42096189
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '63.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096190
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '63.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 42096191
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '63.23', 'twisting_conrey_index': 23, 'weight': 1}
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id: 42096192
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '63.32', 'twisting_conrey_index': 32, 'weight': 1}
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id: 42096193
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '63.41', 'twisting_conrey_index': 41, 'weight': 1}
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id: 42096194
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '63.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 42096195
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '72.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096196
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '72.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 42096197
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '72.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 42096198
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '84.83', 'twisting_conrey_index': 83, 'weight': 1}
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id: 42096199
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '168.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096200
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '168.53', 'twisting_conrey_index': 53, 'weight': 1}
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id: 42096201
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '168.83', 'twisting_conrey_index': 83, 'weight': 1}
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id: 42096202
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '168.101', 'twisting_conrey_index': 101, 'weight': 1}
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id: 42096203
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '168.125', 'twisting_conrey_index': 125, 'weight': 1}
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id: 42096204
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '168.149', 'twisting_conrey_index': 149, 'weight': 1}
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id: 42096205
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '252.167', 'twisting_conrey_index': 167, 'weight': 1}
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id: 42096206
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '504.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 42096207
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '504.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 42096208
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '504.149', 'twisting_conrey_index': 149, 'weight': 1}
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id: 42096209
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '504.221', 'twisting_conrey_index': 221, 'weight': 1}
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id: 42096210
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '504.293', 'twisting_conrey_index': 293, 'weight': 1}
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id: 42096211
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '504.419', 'twisting_conrey_index': 419, 'weight': 1}
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id: 42096212
{'conductor': 504, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 181, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9009879331112424, 'source_is_minimal': False, 'source_label': '1512.1.bn.c.181.2', 'source_level': 1512, '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': '504.437', 'twisting_conrey_index': 437, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2001250
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9009879331112424, 'p': 2}
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id: 2001251
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 3}
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id: 2001252
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 9009879331112424, 'p': 5}
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id: 2001253
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 9009879331112424, 'p': 7}
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id: 2001254
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 11}
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id: 2001255
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 13}
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id: 2001256
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 17}
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id: 2001257
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 9009879331112424, 'p': 19}
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id: 2001258
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9009879331112424, 'p': 23}
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id: 2001259
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 29}
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id: 2001260
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 31}
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id: 2001261
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 37}
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id: 2001262
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 41}
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id: 2001263
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 43}
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id: 2001264
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 47}
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id: 2001265
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 53}
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id: 2001266
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 59}
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id: 2001267
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 9009879331112424, 'p': 61}
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id: 2001268
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 67}
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id: 2001269
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 71}
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id: 2001270
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 73}
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id: 2001271
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9009879331112424, 'p': 79}
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id: 2001272
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 83}
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id: 2001273
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 89}
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id: 2001274
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9009879331112424, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 40, 'hecke_orbit': 3, 'label': '1512.1.bn.c', 'level': 1512, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 32224177
{'hecke_orbit_code': 9009879331112424, 'n': 1, 'trace_an': 4}
-
id: 32224178
{'hecke_orbit_code': 9009879331112424, 'n': 2, 'trace_an': -2}
-
id: 32224179
{'hecke_orbit_code': 9009879331112424, 'n': 3, 'trace_an': 0}
-
id: 32224180
{'hecke_orbit_code': 9009879331112424, 'n': 4, 'trace_an': -2}
-
id: 32224181
{'hecke_orbit_code': 9009879331112424, 'n': 5, 'trace_an': 0}
-
id: 32224182
{'hecke_orbit_code': 9009879331112424, 'n': 6, 'trace_an': 0}
-
id: 32224183
{'hecke_orbit_code': 9009879331112424, 'n': 7, 'trace_an': 2}
-
id: 32224184
{'hecke_orbit_code': 9009879331112424, 'n': 8, 'trace_an': 4}
-
id: 32224185
{'hecke_orbit_code': 9009879331112424, 'n': 9, 'trace_an': 0}
-
id: 32224186
{'hecke_orbit_code': 9009879331112424, 'n': 10, 'trace_an': 0}
-
id: 32224187
{'hecke_orbit_code': 9009879331112424, 'n': 11, 'trace_an': 0}
-
id: 32224188
{'hecke_orbit_code': 9009879331112424, 'n': 12, 'trace_an': 0}
-
id: 32224189
{'hecke_orbit_code': 9009879331112424, 'n': 13, 'trace_an': 0}
-
id: 32224190
{'hecke_orbit_code': 9009879331112424, 'n': 14, 'trace_an': 2}
-
id: 32224191
{'hecke_orbit_code': 9009879331112424, 'n': 15, 'trace_an': 0}
-
id: 32224192
{'hecke_orbit_code': 9009879331112424, 'n': 16, 'trace_an': -2}
-
id: 32224193
{'hecke_orbit_code': 9009879331112424, 'n': 17, 'trace_an': 0}
-
id: 32224194
{'hecke_orbit_code': 9009879331112424, 'n': 18, 'trace_an': 0}
-
id: 32224195
{'hecke_orbit_code': 9009879331112424, 'n': 19, 'trace_an': 0}
-
id: 32224196
{'hecke_orbit_code': 9009879331112424, 'n': 20, 'trace_an': 0}
-
id: 32224197
{'hecke_orbit_code': 9009879331112424, 'n': 21, 'trace_an': 0}
-
id: 32224198
{'hecke_orbit_code': 9009879331112424, 'n': 22, 'trace_an': 0}
-
id: 32224199
{'hecke_orbit_code': 9009879331112424, 'n': 23, 'trace_an': -2}
-
id: 32224200
{'hecke_orbit_code': 9009879331112424, 'n': 24, 'trace_an': 0}
-
id: 32224201
{'hecke_orbit_code': 9009879331112424, 'n': 25, 'trace_an': -4}
-
id: 32224202
{'hecke_orbit_code': 9009879331112424, 'n': 26, 'trace_an': 0}
-
id: 32224203
{'hecke_orbit_code': 9009879331112424, 'n': 27, 'trace_an': 0}
-
id: 32224204
{'hecke_orbit_code': 9009879331112424, 'n': 28, 'trace_an': -4}
-
id: 32224205
{'hecke_orbit_code': 9009879331112424, 'n': 29, 'trace_an': 0}
-
id: 32224206
{'hecke_orbit_code': 9009879331112424, 'n': 30, 'trace_an': 0}
-
id: 32224207
{'hecke_orbit_code': 9009879331112424, 'n': 31, 'trace_an': 0}
-
id: 32224208
{'hecke_orbit_code': 9009879331112424, 'n': 32, 'trace_an': -2}
-
id: 32224209
{'hecke_orbit_code': 9009879331112424, 'n': 33, 'trace_an': 0}
-
id: 32224210
{'hecke_orbit_code': 9009879331112424, 'n': 34, 'trace_an': 0}
-
id: 32224211
{'hecke_orbit_code': 9009879331112424, 'n': 35, 'trace_an': 0}
-
id: 32224212
{'hecke_orbit_code': 9009879331112424, 'n': 36, 'trace_an': 0}
-
id: 32224213
{'hecke_orbit_code': 9009879331112424, 'n': 37, 'trace_an': 0}
-
id: 32224214
{'hecke_orbit_code': 9009879331112424, 'n': 38, 'trace_an': 0}
-
id: 32224215
{'hecke_orbit_code': 9009879331112424, 'n': 39, 'trace_an': 0}
-
id: 32224216
{'hecke_orbit_code': 9009879331112424, 'n': 40, 'trace_an': 0}
-
id: 32224217
{'hecke_orbit_code': 9009879331112424, 'n': 41, 'trace_an': 0}
-
id: 32224218
{'hecke_orbit_code': 9009879331112424, 'n': 42, 'trace_an': 0}
-
id: 32224219
{'hecke_orbit_code': 9009879331112424, 'n': 43, 'trace_an': 0}
-
id: 32224220
{'hecke_orbit_code': 9009879331112424, 'n': 44, 'trace_an': 0}
-
id: 32224221
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id: 32224424
{'hecke_orbit_code': 9009879331112424, 'n': 937, 'trace_an': 0}
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id: 32224425
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id: 32224426
{'hecke_orbit_code': 9009879331112424, 'n': 947, 'trace_an': 0}
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id: 32224427
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id: 32224428
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id: 32224429
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id: 32224430
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id: 32224431
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id: 32224432
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id: 32224433
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id: 32224434
{'hecke_orbit_code': 9009879331112424, 'n': 997, 'trace_an': 0}