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mf_newforms • Show schema
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{'Nk2': 10800, 'analytic_conductor': 39.82628925387491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [675, 2, [326, 352], [2, 1]], 'cm_discs': [], 'conrey_index': 649, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [18, 0, 1]], [7, [121, 0, 1]], [11, [-288, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028865805550243, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 18, 'hecke_ring_index_factorization': [[2, 1], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 3, 2, -1, 2, 0]], 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mf_hecke_cc • Show schema
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'conrey_index': 649, 'dual_conrey_index': 649, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -0.7071067811865476, 'embedding_root_real': 0.7071067811865476, 'hecke_orbit': 9, 'hecke_orbit_code': 36028865805550243, 'label': '675.4.b.i.649.2', 'level': 675, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 10800, 'analytic_conductor': 39.82628925387491, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [675, 2, [326, 352], [2, 1]], 'conrey_index': 649, 'cusp_dim': 252, 'dim': 72, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 68786586275, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8, 8], 'label': '675.4.b', 'level': 675, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 288, 'mf_new_dim': 72, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 360, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1116, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, -2460, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 528, 0, 0, -1620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 936, 0, 0, -1920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7668, 0, 0, -4296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6660, 0, 0, -4980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1056, 0, 0, -4416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1044, 0, 0, -7008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43176, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7776, 0, 0, -14820, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25560, 0, 0, 2256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13632, 0, 0, 41364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22992, 0, 0, -10932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40848, 0, 0, 33504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34032, 0, 0, 16248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -33720, 0, 0, -43728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69924, 0, 0, 24684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54492, 0, 0, 8076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14724, 0, 0, -48240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16044, 0, 0, 55068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68364, 0, 0, 20760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -63864, 0, 0, 31656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -155496, 0, 0, -39612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 147120, 0, 0, 97392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89796, 0, 0, 18912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -53328, 0, 0, -68712, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2904, 0, 0, -87564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44532, 0, 0, 29796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62340, 0, 0, 70344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29904, 0, 0, 200784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -211512, 0, 0, -12828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44856, 0, 0, -81756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48696, 0, 0, -94980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 158352, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96420, 0, 0, -59184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136440, 0, 0, -163500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92688, 0, 0, 7044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160428, 0, 0, -61536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -106356, 0, 0, -109764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -85188, 0, 0, -216564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77076, 0, 0, 238188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48660, 0, 0, 46296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166572, 0, 0, 87936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41268, 0, 0, -154044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -135840, 0, 0, -168168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42720, 0, 0, -221004, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 378168, 0, 0, 157080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -274128, 0, 0, 365304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68424, 0, 0, 99384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62316, 0, 0, -363144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42744, 0, 0, -342132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104664, 0, 0, 226728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70068, 0, 0, -133848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -295380, 0, 0, -320124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 169296, 0, 0, -36204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 580512, 0, 0, 471132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -424080, 0, 0, 137880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57408, 0, 0, 222996, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -452760, 0, 0, 403236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320640, 0, 0, 402504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -245640, 0, 0, 381816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 143736, 0, 0, -642420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10824, 0, 0, -213000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 213588, 0, 0, 354720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 557424, 0, 0, 181800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150768, 0, 0, 508992, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46600711
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028865805550243, 'target_is_minimal': False, 'target_label': '675.4.b.i.649.2', 'target_level': 675, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 46600712
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028865805550243, 'target_is_minimal': False, 'target_label': '675.4.b.i.649.4', 'target_level': 675, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46600713
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795222925987, 'target_is_minimal': False, 'target_label': '675.4.a.n.1.2', 'target_level': 675, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46600714
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849883, 'target_is_minimal': True, 'target_label': '27.4.a.c.1.1', 'target_level': 27, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46600715
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028865805550243, 'target_is_minimal': False, 'target_label': '675.4.b.i.649.3', 'target_level': 675, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 46600716
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795222925987, 'target_is_minimal': False, 'target_label': '675.4.a.n.1.1', 'target_level': 675, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46600717
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199321849883, 'target_is_minimal': True, 'target_label': '27.4.a.c.1.2', 'target_level': 27, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 46600718
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028865805550243, 'target_is_minimal': False, 'target_label': '675.4.b.i.649.1', 'target_level': 675, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 46600719
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594105037232, 'target_is_minimal': False, 'target_label': '432.4.a.q.1.2', 'target_level': 432, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46600720
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987149611, 'target_is_minimal': False, 'target_label': '1323.4.a.t.1.1', 'target_level': 1323, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 46600721
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586652448448, 'target_is_minimal': False, 'target_label': '1728.4.a.bk.1.1', 'target_level': 1728, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46600722
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584789300928, 'target_is_minimal': False, 'target_label': '1728.4.a.bp.1.1', 'target_level': 1728, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 46600723
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014536015544401, 'target_is_minimal': False, 'target_label': '81.4.c.e.55.2', 'target_level': 81, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 46600724
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536015544401, 'target_is_minimal': False, 'target_label': '81.4.c.e.55.1', 'target_level': 81, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 46600725
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014536015544401, 'target_is_minimal': False, 'target_label': '81.4.c.e.28.1', 'target_level': 81, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 4}
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id: 46600726
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014536015544401, 'target_is_minimal': False, 'target_label': '81.4.c.e.28.2', 'target_level': 81, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 4}
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id: 46600727
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594105037232, 'target_is_minimal': False, 'target_label': '432.4.a.q.1.1', 'target_level': 432, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 46600728
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392987149611, 'target_is_minimal': False, 'target_label': '1323.4.a.t.1.2', 'target_level': 1323, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 46600729
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584789300928, 'target_is_minimal': False, 'target_label': '1728.4.a.bp.1.2', 'target_level': 1728, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 4}
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id: 46600730
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 649, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36028865805550243, 'source_is_minimal': False, 'source_label': '675.4.b.i.649.2', 'source_level': 675, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586652448448, 'target_is_minimal': False, 'target_label': '1728.4.a.bk.1.2', 'target_level': 1728, 'twist_class_label': '27.4.a.c.1.1', 'twist_class_level': 27, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1196550
{'charpoly_factorization': [[[18, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 2}
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id: 1196551
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028865805550243, 'p': 3}
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id: 1196552
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028865805550243, 'p': 5}
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id: 1196553
{'charpoly_factorization': [[[121, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 7}
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id: 1196554
{'charpoly_factorization': [[[-288, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 11}
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id: 1196555
{'charpoly_factorization': [[[841, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 13}
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id: 1196556
{'charpoly_factorization': [[[2592, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 17}
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id: 1196557
{'charpoly_factorization': [[[29, 1], 4]], 'hecke_orbit_code': 36028865805550243, 'p': 19}
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id: 1196558
{'charpoly_factorization': [[[7200, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 23}
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id: 1196559
{'charpoly_factorization': [[[-73728, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 29}
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id: 1196560
{'charpoly_factorization': [[[268, 1], 4]], 'hecke_orbit_code': 36028865805550243, 'p': 31}
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id: 1196561
{'charpoly_factorization': [[[6889, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 37}
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id: 1196562
{'charpoly_factorization': [[[-73728, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 41}
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id: 1196563
{'charpoly_factorization': [[[53824, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 43}
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id: 1196564
{'charpoly_factorization': [[[152352, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 47}
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id: 1196565
{'charpoly_factorization': [[[93312, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 53}
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id: 1196566
{'charpoly_factorization': [[[-83232, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 59}
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id: 1196567
{'charpoly_factorization': [[[-767, 1], 4]], 'hecke_orbit_code': 36028865805550243, 'p': 61}
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id: 1196568
{'charpoly_factorization': [[[261121, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 67}
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id: 1196569
{'charpoly_factorization': [[[-508032, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 71}
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id: 1196570
{'charpoly_factorization': [[[18769, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 73}
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id: 1196571
{'charpoly_factorization': [[[-475, 1], 4]], 'hecke_orbit_code': 36028865805550243, 'p': 79}
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id: 1196572
{'charpoly_factorization': [[[332928, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 83}
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id: 1196573
{'charpoly_factorization': [[[-64800, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 89}
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id: 1196574
{'charpoly_factorization': [[[674041, 0, 1], 2]], 'hecke_orbit_code': 36028865805550243, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 9, 'label': '675.4.b.i', 'level': 675, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 51925573
{'hecke_orbit_code': 36028865805550243, 'n': 1, 'trace_an': 4}
-
id: 51925574
{'hecke_orbit_code': 36028865805550243, 'n': 2, 'trace_an': 0}
-
id: 51925575
{'hecke_orbit_code': 36028865805550243, 'n': 3, 'trace_an': 0}
-
id: 51925576
{'hecke_orbit_code': 36028865805550243, 'n': 4, 'trace_an': -40}
-
id: 51925577
{'hecke_orbit_code': 36028865805550243, 'n': 5, 'trace_an': 0}
-
id: 51925578
{'hecke_orbit_code': 36028865805550243, 'n': 6, 'trace_an': 0}
-
id: 51925579
{'hecke_orbit_code': 36028865805550243, 'n': 7, 'trace_an': 0}
-
id: 51925580
{'hecke_orbit_code': 36028865805550243, 'n': 8, 'trace_an': 0}
-
id: 51925581
{'hecke_orbit_code': 36028865805550243, 'n': 9, 'trace_an': 0}
-
id: 51925582
{'hecke_orbit_code': 36028865805550243, 'n': 10, 'trace_an': 0}
-
id: 51925583
{'hecke_orbit_code': 36028865805550243, 'n': 11, 'trace_an': 0}
-
id: 51925584
{'hecke_orbit_code': 36028865805550243, 'n': 12, 'trace_an': 0}
-
id: 51925585
{'hecke_orbit_code': 36028865805550243, 'n': 13, 'trace_an': 0}
-
id: 51925586
{'hecke_orbit_code': 36028865805550243, 'n': 14, 'trace_an': 0}
-
id: 51925587
{'hecke_orbit_code': 36028865805550243, 'n': 15, 'trace_an': 0}
-
id: 51925588
{'hecke_orbit_code': 36028865805550243, 'n': 16, 'trace_an': -176}
-
id: 51925589
{'hecke_orbit_code': 36028865805550243, 'n': 17, 'trace_an': 0}
-
id: 51925590
{'hecke_orbit_code': 36028865805550243, 'n': 18, 'trace_an': 0}
-
id: 51925591
{'hecke_orbit_code': 36028865805550243, 'n': 19, 'trace_an': -116}
-
id: 51925592
{'hecke_orbit_code': 36028865805550243, 'n': 20, 'trace_an': 0}
-
id: 51925593
{'hecke_orbit_code': 36028865805550243, 'n': 21, 'trace_an': 0}
-
id: 51925594
{'hecke_orbit_code': 36028865805550243, 'n': 22, 'trace_an': 0}
-
id: 51925595
{'hecke_orbit_code': 36028865805550243, 'n': 23, 'trace_an': 0}
-
id: 51925596
{'hecke_orbit_code': 36028865805550243, 'n': 24, 'trace_an': 0}
-
id: 51925597
{'hecke_orbit_code': 36028865805550243, 'n': 25, 'trace_an': 0}
-
id: 51925598
{'hecke_orbit_code': 36028865805550243, 'n': 26, 'trace_an': 0}
-
id: 51925599
{'hecke_orbit_code': 36028865805550243, 'n': 27, 'trace_an': 0}
-
id: 51925600
{'hecke_orbit_code': 36028865805550243, 'n': 28, 'trace_an': 0}
-
id: 51925601
{'hecke_orbit_code': 36028865805550243, 'n': 29, 'trace_an': 0}
-
id: 51925602
{'hecke_orbit_code': 36028865805550243, 'n': 30, 'trace_an': 0}
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