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mf_newforms • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, '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, -24, 9, -3, 1]], [5, [9, 27, 36, -3, 9, -6, 1]], [7, [289, -306, 189, -91, 36, -9, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675685081, '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, 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mf_hecke_cc • Show schema
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-0.31122318509160923, 0.12050816887836813, -0.4345753880305077, -0.42172324071256084, -0.17610132205490023], 'char_orbit_index': 5, 'conrey_index': 163, 'dual_conrey_index': 568, 'dual_embedding_index': 1, 'dual_embedding_m': 5, 'embedding_index': 1, 'embedding_m': 2, 'embedding_root_imag': 0.984807753012208, 'embedding_root_real': -0.17364817766693036, 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675685081, 'label': '729.2.e.g.163.1', '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: 45773677
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685081, 'target_is_minimal': False, 'target_label': '729.2.e.g.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45773678
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832601, 'target_is_minimal': False, 'target_label': '729.2.e.b.163.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45773679
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203097, 'target_is_minimal': False, 'target_label': '729.2.e.c.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45773680
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462105, 'target_is_minimal': False, 'target_label': '729.2.e.a.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45773681
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426073, 'target_is_minimal': False, 'target_label': '729.2.e.i.649.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45773682
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 406, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055577, 'target_is_minimal': False, 'target_label': '729.2.e.h.406.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45773683
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407155, 'target_is_minimal': True, 'target_label': '243.2.a.f.1.2', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45773684
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021872675685081, 'target_is_minimal': False, 'target_label': '729.2.e.g.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45773685
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426073, 'target_is_minimal': False, 'target_label': '729.2.e.i.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45773686
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609360627, 'target_is_minimal': False, 'target_label': '243.2.c.f.163.2', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45773687
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014535981990131, 'target_is_minimal': False, 'target_label': '243.2.c.e.82.2', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45773688
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055577, 'target_is_minimal': False, 'target_label': '729.2.e.h.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45773689
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 325, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203097, 'target_is_minimal': False, 'target_label': '729.2.e.c.325.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45773690
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135609360627, 'target_is_minimal': False, 'target_label': '243.2.c.f.82.2', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 45773691
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 163, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014535981990131, 'target_is_minimal': False, 'target_label': '243.2.c.e.163.2', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45773692
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 82, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462105, 'target_is_minimal': False, 'target_label': '729.2.e.a.82.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 45773693
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832601, 'target_is_minimal': False, 'target_label': '729.2.e.b.568.1', 'target_level': 729, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45773694
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036659, 'target_is_minimal': True, 'target_label': '243.2.a.e.1.2', 'target_level': 243, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 45773695
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227302704, 'target_is_minimal': False, 'target_label': '3888.2.a.bd.1.2', 'target_level': 3888, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '108.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 45773696
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618896176, 'target_is_minimal': False, 'target_label': '3888.2.a.bk.1.2', 'target_level': 3888, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '108.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 45773697
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383121339, 'target_is_minimal': False, 'target_label': '6075.2.a.bq.1.2', 'target_level': 6075, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '135.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45773698
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021872675685081, 'source_is_minimal': False, 'source_label': '729.2.e.g.163.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 211669182519973819, 'target_is_minimal': False, 'target_label': '6075.2.a.bv.1.2', 'target_level': 6075, 'twist_class_label': '243.2.a.e.1.2', 'twist_class_level': 243, 'twisting_char_label': '135.79', 'twisting_conrey_index': 79, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1260125
{'charpoly_factorization': [[[9, -27, 36, -24, 9, -3, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 2}
-
id: 1260126
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 27021872675685081, 'p': 3}
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id: 1260127
{'charpoly_factorization': [[[9, 27, 36, -3, 9, -6, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 5}
-
id: 1260128
{'charpoly_factorization': [[[289, -306, 189, -91, 36, -9, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 7}
-
id: 1260129
{'charpoly_factorization': [[[9, -108, 387, -159, 36, -3, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 11}
-
id: 1260130
{'charpoly_factorization': [[[289, -306, 189, -91, 36, -9, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 13}
-
id: 1260131
{'charpoly_factorization': [[[9, -3, 1], 3]], 'hecke_orbit_code': 27021872675685081, 'p': 17}
-
id: 1260132
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 19}
-
id: 1260133
{'charpoly_factorization': [[[2601, -1836, 846, -300, 90, -15, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 23}
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id: 1260134
{'charpoly_factorization': [[[3249, 5643, 3465, 840, 144, 15, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 29}
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id: 1260135
{'charpoly_factorization': [[[361, 855, 837, -208, 36, -9, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 31}
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id: 1260136
{'charpoly_factorization': [[[1, 24, 573, 74, 33, -3, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 37}
-
id: 1260137
{'charpoly_factorization': [[[47961, 7884, -369, 51, 36, 3, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 41}
-
id: 1260138
{'charpoly_factorization': [[[361, 855, 837, -208, 36, -9, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 43}
-
id: 1260139
{'charpoly_factorization': [[[71289, -12015, 765, 408, 90, 15, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 47}
-
id: 1260140
{'charpoly_factorization': [[[81, 81, 18, 1], 2]], 'hecke_orbit_code': 27021872675685081, 'p': 53}
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id: 1260141
{'charpoly_factorization': [[[103041, 14445, -450, 240, 36, -6, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 59}
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id: 1260142
{'charpoly_factorization': [[[2809, -4293, 2124, -379, 153, -18, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 61}
-
id: 1260143
{'charpoly_factorization': [[[11881, 14715, 6525, 1160, 126, 9, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 67}
-
id: 1260144
{'charpoly_factorization': [[[998001, 161838, 35235, 540, 243, 9, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 71}
-
id: 1260145
{'charpoly_factorization': [[[157609, 27393, 7143, 380, 105, 6, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 73}
-
id: 1260146
{'charpoly_factorization': [[[2809, 1908, 216, -622, 144, -9, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 79}
-
id: 1260147
{'charpoly_factorization': [[[2601, -2295, 1953, -888, 198, -21, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 83}
-
id: 1260148
{'charpoly_factorization': [[[998001, -188811, 35721, -1998, 189, 0, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 89}
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id: 1260149
{'charpoly_factorization': [[[361, -684, 5616, -3043, 576, -36, 1], 1]], 'hecke_orbit_code': 27021872675685081, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '729.2.e.g', '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: 183311000
{'hecke_orbit_code': 27021872675685081, 'n': 1, 'trace_an': 6}
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id: 183311001
{'hecke_orbit_code': 27021872675685081, 'n': 2, 'trace_an': 3}
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id: 183311002
{'hecke_orbit_code': 27021872675685081, 'n': 3, 'trace_an': 0}
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id: 183311003
{'hecke_orbit_code': 27021872675685081, 'n': 4, 'trace_an': -9}
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id: 183311004
{'hecke_orbit_code': 27021872675685081, 'n': 5, 'trace_an': 6}
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id: 183311005
{'hecke_orbit_code': 27021872675685081, 'n': 6, 'trace_an': 0}
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id: 183311006
{'hecke_orbit_code': 27021872675685081, 'n': 7, 'trace_an': 9}
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id: 183311007
{'hecke_orbit_code': 27021872675685081, 'n': 8, 'trace_an': 6}
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id: 183311008
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{'hecke_orbit_code': 27021872675685081, 'n': 966, 'trace_an': 0}
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id: 183311966
{'hecke_orbit_code': 27021872675685081, 'n': 967, 'trace_an': -90}
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id: 183311967
{'hecke_orbit_code': 27021872675685081, 'n': 968, 'trace_an': 105}
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id: 183311968
{'hecke_orbit_code': 27021872675685081, 'n': 969, 'trace_an': 0}
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id: 183311969
{'hecke_orbit_code': 27021872675685081, 'n': 970, 'trace_an': 27}
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id: 183311970
{'hecke_orbit_code': 27021872675685081, 'n': 971, 'trace_an': -144}
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id: 183311971
{'hecke_orbit_code': 27021872675685081, 'n': 972, 'trace_an': 0}
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id: 183311972
{'hecke_orbit_code': 27021872675685081, 'n': 973, 'trace_an': 60}
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id: 183311973
{'hecke_orbit_code': 27021872675685081, 'n': 974, 'trace_an': 42}
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id: 183311974
{'hecke_orbit_code': 27021872675685081, 'n': 975, 'trace_an': 0}
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id: 183311975
{'hecke_orbit_code': 27021872675685081, 'n': 976, 'trace_an': -45}
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id: 183311976
{'hecke_orbit_code': 27021872675685081, 'n': 977, 'trace_an': 60}
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id: 183311977
{'hecke_orbit_code': 27021872675685081, 'n': 978, 'trace_an': 0}
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id: 183311978
{'hecke_orbit_code': 27021872675685081, 'n': 979, 'trace_an': -18}
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id: 183311979
{'hecke_orbit_code': 27021872675685081, 'n': 980, 'trace_an': 18}
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id: 183311980
{'hecke_orbit_code': 27021872675685081, 'n': 981, 'trace_an': 0}
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id: 183311981
{'hecke_orbit_code': 27021872675685081, 'n': 982, 'trace_an': -54}
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id: 183311982
{'hecke_orbit_code': 27021872675685081, 'n': 983, 'trace_an': 12}
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id: 183311983
{'hecke_orbit_code': 27021872675685081, 'n': 984, 'trace_an': 0}
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id: 183311984
{'hecke_orbit_code': 27021872675685081, 'n': 985, 'trace_an': 126}
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id: 183311985
{'hecke_orbit_code': 27021872675685081, 'n': 986, 'trace_an': 0}
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id: 183311986
{'hecke_orbit_code': 27021872675685081, 'n': 987, 'trace_an': 0}
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id: 183311987
{'hecke_orbit_code': 27021872675685081, 'n': 988, 'trace_an': 18}
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id: 183311988
{'hecke_orbit_code': 27021872675685081, 'n': 989, 'trace_an': -6}
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id: 183311989
{'hecke_orbit_code': 27021872675685081, 'n': 990, 'trace_an': 0}
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id: 183311990
{'hecke_orbit_code': 27021872675685081, 'n': 991, 'trace_an': -6}
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id: 183311991
{'hecke_orbit_code': 27021872675685081, 'n': 992, 'trace_an': -63}
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id: 183311992
{'hecke_orbit_code': 27021872675685081, 'n': 993, 'trace_an': 0}
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id: 183311993
{'hecke_orbit_code': 27021872675685081, 'n': 994, 'trace_an': -99}
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id: 183311994
{'hecke_orbit_code': 27021872675685081, 'n': 995, 'trace_an': 39}
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id: 183311995
{'hecke_orbit_code': 27021872675685081, 'n': 996, 'trace_an': 0}
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id: 183311996
{'hecke_orbit_code': 27021872675685081, 'n': 997, 'trace_an': 153}
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id: 183311997
{'hecke_orbit_code': 27021872675685081, 'n': 998, 'trace_an': 42}
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id: 183311998
{'hecke_orbit_code': 27021872675685081, 'n': 999, 'trace_an': 0}
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id: 183311999
{'hecke_orbit_code': 27021872675685081, 'n': 1000, 'trace_an': 126}