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mf_newforms • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'cm_discs': [], 'conrey_index': 82, 'conrey_indexes': [82, 163, 325, 406, 568, 649], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 27, 36, 30, 18, 6, 1]], [5, [9, -27, 9, 24, 18, 3, 1]], [7, [289, 459, 342, 152, 45, 9, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911462105, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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4, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 0.3420201433256687, 'embedding_root_real': 0.9396926207859084, 'hecke_orbit': 1, 'hecke_orbit_code': 274911462105, 'label': '729.2.e.a.325.1', 'level': 729, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [729, 9, [2], [4]], 'conrey_index': 82, 'cusp_dim': 378, 'dim': 198, 'eis_dim': 216, 'eis_new_dim': 36, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 274911462105, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '729.2.e', 'level': 729, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 594, 'mf_new_dim': 234, 'num_forms': 21, 'prim_orbit_index': 5, 'relative_dim': 33, 'sturm_bound': 162, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [198, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 1224, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 1584, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -522, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1260, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -774, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 810, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, 0, -630, 0, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -1602, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -1422, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -1332, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 0, 666, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 2664, 0, 0, 0, 0, 0, 0, 0, 0, 828, 0, 0, 0, 0, 0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 2556], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 2656673
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462105, 'target_is_minimal': False, 'target_label': '729.2.e.a.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2656674
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426073, 'target_is_minimal': False, 'target_label': '729.2.e.i.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2656675
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203097, 'target_is_minimal': False, 'target_label': '729.2.e.c.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2656676
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685081, 'target_is_minimal': False, 'target_label': '729.2.e.g.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2656677
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832601, 'target_is_minimal': False, 'target_label': '729.2.e.b.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2656678
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055577, 'target_is_minimal': False, 'target_label': '729.2.e.h.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2656679
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203097, 'target_is_minimal': False, 'target_label': '729.2.e.c.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2656680
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036659, 'target_is_minimal': True, 'target_label': '243.2.a.e.1.1', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2656681
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990131, 'target_is_minimal': False, 'target_label': '243.2.c.e.82.1', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2656682
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685081, 'target_is_minimal': False, 'target_label': '729.2.e.g.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2656683
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426073, 'target_is_minimal': False, 'target_label': '729.2.e.i.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2656684
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518135609360627, 'target_is_minimal': False, 'target_label': '243.2.c.f.163.3', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 2656685
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990131, 'target_is_minimal': False, 'target_label': '243.2.c.e.163.1', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2656686
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462105, 'target_is_minimal': False, 'target_label': '729.2.e.a.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 2656687
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832601, 'target_is_minimal': False, 'target_label': '729.2.e.b.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 2656688
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518135609360627, 'target_is_minimal': False, 'target_label': '243.2.c.f.82.3', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2656689
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22517998170407155, 'target_is_minimal': True, 'target_label': '243.2.a.f.1.3', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2656690
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055577, 'target_is_minimal': False, 'target_label': '729.2.e.h.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 2656691
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618896176, 'target_is_minimal': False, 'target_label': '3888.2.a.bk.1.1', 'target_level': 3888, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '108.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2656692
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 130604389227302704, 'target_is_minimal': False, 'target_label': '3888.2.a.bd.1.3', 'target_level': 3888, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '108.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 2656693
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 211669182519973819, 'target_is_minimal': False, 'target_label': '6075.2.a.bv.1.3', 'target_level': 6075, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2656694
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 325, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911462105, 'source_is_minimal': False, 'source_label': '729.2.e.a.325.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383121339, 'target_is_minimal': False, 'target_label': '6075.2.a.bq.1.1', 'target_level': 6075, 'twist_class_label': '243.2.a.e.1.1', 'twist_class_level': 243, 'twisting_char_label': '135.104', 'twisting_conrey_index': 104, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1259975
{'charpoly_factorization': [[[9, 27, 36, 30, 18, 6, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 2}
-
id: 1259976
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 274911462105, 'p': 3}
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id: 1259977
{'charpoly_factorization': [[[9, -27, 9, 24, 18, 3, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 5}
-
id: 1259978
{'charpoly_factorization': [[[289, 459, 342, 152, 45, 9, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 7}
-
id: 1259979
{'charpoly_factorization': [[[9, 27, 360, 300, 99, 15, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 11}
-
id: 1259980
{'charpoly_factorization': [[[289, 459, 342, 152, 45, 9, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 13}
-
id: 1259981
{'charpoly_factorization': [[[9, -3, 1], 3]], 'hecke_orbit_code': 274911462105, 'p': 17}
-
id: 1259982
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 19}
-
id: 1259983
{'charpoly_factorization': [[[2601, 3213, 1764, 537, 99, 12, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 23}
-
id: 1259984
{'charpoly_factorization': [[[3249, -1026, 1926, -78, -36, -3, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 29}
-
id: 1259985
{'charpoly_factorization': [[[361, -1026, 666, 278, 72, 9, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 31}
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id: 1259986
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 37}
-
id: 1259987
{'charpoly_factorization': [[[47961, 21681, 5544, 1212, 207, 21, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 41}
-
id: 1259988
{'charpoly_factorization': [[[361, -1026, 666, 278, 72, 9, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 43}
-
id: 1259989
{'charpoly_factorization': [[[71289, 48060, 12780, 1758, 180, 15, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 47}
-
id: 1259990
{'charpoly_factorization': [[[81, 81, 18, 1], 2]], 'hecke_orbit_code': 274911462105, 'p': 53}
-
id: 1259991
{'charpoly_factorization': [[[103041, -5778, 2439, 267, -36, 3, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 59}
-
id: 1259992
{'charpoly_factorization': [[[2809, 2385, 2601, 1160, 270, 27, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 61}
-
id: 1259993
{'charpoly_factorization': [[[11881, -7848, 5544, -1918, 324, -27, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 67}
-
id: 1259994
{'charpoly_factorization': [[[998001, 161838, 35235, 540, 243, 9, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 71}
-
id: 1259995
{'charpoly_factorization': [[[157609, 27393, 7143, 380, 105, 6, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 73}
-
id: 1259996
{'charpoly_factorization': [[[2809, -4293, 2124, -379, 153, -18, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 79}
-
id: 1259997
{'charpoly_factorization': [[[2601, -1836, 576, 138, 72, 15, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 83}
-
id: 1259998
{'charpoly_factorization': [[[998001, -188811, 35721, -1998, 189, 0, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 89}
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id: 1259999
{'charpoly_factorization': [[[361, -2052, 4932, 845, 396, 36, 1], 1]], 'hecke_orbit_code': 274911462105, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '729.2.e.a', 'level': 729, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 29307000
{'hecke_orbit_code': 274911462105, 'n': 1, 'trace_an': 6}
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id: 29307001
{'hecke_orbit_code': 274911462105, 'n': 2, 'trace_an': -6}
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id: 29307002
{'hecke_orbit_code': 274911462105, 'n': 3, 'trace_an': 0}
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id: 29307003
{'hecke_orbit_code': 274911462105, 'n': 4, 'trace_an': 0}
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id: 29307004
{'hecke_orbit_code': 274911462105, 'n': 5, 'trace_an': -3}
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id: 29307005
{'hecke_orbit_code': 274911462105, 'n': 6, 'trace_an': 0}
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id: 29307006
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