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mf_newforms • Show schema
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{'Nk2': 875, 'analytic_conductor': 3.6179487079345516, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': -1, 'char_values': [35, 4, [22, 31], [3, 4]], 'cm_discs': [], 'conrey_index': 8, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 412400746531, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '35.5.g.a', 'level': 35, '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': True, 'level_primes': [5, 7], 'level_radical': 35, 'minimal_twist': '35.5.g.a', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '4.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '35.5.g', 'trace_display': [0, 20, -48, 0], 'traces': [24, 0, 20, 0, -48, 72, 0, 0, 0, -112, 156, -80, -560, 0, 896, -1480, 1320, 340, 0, 180, 196, -2020, 1920, 0, -676, 2208, -340, 0, 0, -5356, -2112, -1200, -6140, 0, 0, 3904, 3980, 9120, 0, 14716, 6384, 4900, -12220, 0, -10528, -8080, -11820, -4040, 0, 10728, -5900, 3600, 24240, 0, 4636, -10584, 6460, 6100, 0, -30088, 440, -16680, 7840, 0, -14652, 4832, -5940, -47040, 0, -6272, 8928, 46720, -2500, 0, 60708, 47816, 5880, -17940, 0, 16140, -11360, -32120, 15120, 0, 18816, -41208, -25460, 52920, 0, -55680, -11172, 19800, 1460, 0, -35508, 20568, -33840, 0, 0, 456, -24936, -19980, -37060, 0, 4704, -87664, 47100, 43680, 0, 26736, 107528, 39200, -48540, 0, -35728, 79128, 78140, 96640, 0, 73016, 2836, -23640, -26420, 0, -88128, -56840, 80860, -158880, 0, 27388, -130560, -332520, -38220, 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 875, 'analytic_conductor': 3.6179487079345516, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': -1, 'char_values': [35, 4, [22, 31], [3, 4]], 'conrey_index': 8, 'cusp_dim': 28, 'dim': 24, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 412400746531, 'hecke_orbit_dims': [24], 'label': '35.5.g', 'level': 35, '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': True, 'level_primes': [5, 7], 'level_radical': 35, 'mf_dim': 36, 'mf_new_dim': 24, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 20, 'trace_bound': 0, 'trace_display': [0, 20, -48, 0], 'traces': [24, 0, 20, 0, -48, 72, 0, 0, 0, -112, 156, -80, -560, 0, 896, -1480, 1320, 340, 0, 180, 196, -2020, 1920, 0, -676, 2208, -340, 0, 0, -5356, -2112, -1200, -6140, 0, 0, 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-1578168, 1480360, -3190880, 0, 1475028, 180120, -4792080, 4995400, 0, -498036, 618056, -3472940, 6542820, 0, -8003692, 7803792, -3194800, 5235120, 0, 16617448, 8419256, -3065040, -2518440, 0, 7000596, 3948864, 4085160, 7662060, 0, -3633604], 'weight': 5, 'weight_parity': -1}
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mf_twists_cc • Show schema
Hide schema
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id: 5163505
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 24, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412400746531, 'source_is_minimal': True, 'source_label': '35.5.g.a.22.8', 'source_level': 35, 'target_conrey_index': 22, 'target_dim': 24, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412400746531, 'target_is_minimal': True, 'target_label': '35.5.g.a.22.8', 'target_level': 35, 'twist_class_label': '35.5.g.a.8.8', 'twist_class_level': 35, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 5}
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id: 5163506
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 24, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412400746531, 'source_is_minimal': True, 'source_label': '35.5.g.a.22.8', 'source_level': 35, 'target_conrey_index': 43, 'target_dim': 24, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007611655487663, 'target_is_minimal': False, 'target_label': '175.5.g.c.43.5', 'target_level': 175, 'twist_class_label': '35.5.g.a.8.8', 'twist_class_level': 35, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 5}
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id: 5163507
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 22, 'source_dim': 24, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412400746531, 'source_is_minimal': True, 'source_label': '35.5.g.a.22.8', 'source_level': 35, 'target_conrey_index': 8, 'target_dim': 24, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412400746531, 'target_is_minimal': True, 'target_label': '35.5.g.a.8.8', 'target_level': 35, 'twist_class_label': '35.5.g.a.8.8', 'twist_class_level': 35, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 5}
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id: 5163508
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 22, 'source_dim': 24, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412400746531, 'source_is_minimal': True, 'source_label': '35.5.g.a.22.8', 'source_level': 35, 'target_conrey_index': 57, 'target_dim': 24, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007611655487663, 'target_is_minimal': False, 'target_label': '175.5.g.c.57.5', 'target_level': 175, 'twist_class_label': '35.5.g.a.8.8', 'twist_class_level': 35, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 5}
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hecke_orbit_code 412400746531 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '35.5.g.a', 'level': 35, 'portrait': 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', 'weight': 5}
-
mf_hecke_traces • Show schema
Hide schema
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id: 9048642
{'hecke_orbit_code': 412400746531, 'n': 1, 'trace_an': 24}
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id: 9048643
{'hecke_orbit_code': 412400746531, 'n': 2, 'trace_an': 0}
-
id: 9048644
{'hecke_orbit_code': 412400746531, 'n': 3, 'trace_an': 20}
-
id: 9048645
{'hecke_orbit_code': 412400746531, 'n': 4, 'trace_an': 0}
-
id: 9048646
{'hecke_orbit_code': 412400746531, 'n': 5, 'trace_an': -48}
-
id: 9048647
{'hecke_orbit_code': 412400746531, 'n': 6, 'trace_an': 72}
-
id: 9048648
{'hecke_orbit_code': 412400746531, 'n': 7, 'trace_an': 0}
-
id: 9048649
{'hecke_orbit_code': 412400746531, 'n': 8, 'trace_an': 0}
-
id: 9048650
{'hecke_orbit_code': 412400746531, 'n': 9, 'trace_an': 0}
-
id: 9048651
{'hecke_orbit_code': 412400746531, 'n': 10, 'trace_an': -112}
-
id: 9048652
{'hecke_orbit_code': 412400746531, 'n': 11, 'trace_an': 156}
-
id: 9048653
{'hecke_orbit_code': 412400746531, 'n': 12, 'trace_an': -80}
-
id: 9048654
{'hecke_orbit_code': 412400746531, 'n': 13, 'trace_an': -560}
-
id: 9048655
{'hecke_orbit_code': 412400746531, 'n': 14, 'trace_an': 0}
-
id: 9048656
{'hecke_orbit_code': 412400746531, 'n': 15, 'trace_an': 896}
-
id: 9048657
{'hecke_orbit_code': 412400746531, 'n': 16, 'trace_an': -1480}
-
id: 9048658
{'hecke_orbit_code': 412400746531, 'n': 17, 'trace_an': 1320}
-
id: 9048659
{'hecke_orbit_code': 412400746531, 'n': 18, 'trace_an': 340}
-
id: 9048660
{'hecke_orbit_code': 412400746531, 'n': 19, 'trace_an': 0}
-
id: 9048661
{'hecke_orbit_code': 412400746531, 'n': 20, 'trace_an': 180}
-
id: 9048662
{'hecke_orbit_code': 412400746531, 'n': 21, 'trace_an': 196}
-
id: 9048663
{'hecke_orbit_code': 412400746531, 'n': 22, 'trace_an': -2020}
-
id: 9048664
{'hecke_orbit_code': 412400746531, 'n': 23, 'trace_an': 1920}
-
id: 9048665
{'hecke_orbit_code': 412400746531, 'n': 24, 'trace_an': 0}
-
id: 9048666
{'hecke_orbit_code': 412400746531, 'n': 25, 'trace_an': -676}
-
id: 9048667
{'hecke_orbit_code': 412400746531, 'n': 26, 'trace_an': 2208}
-
id: 9048668
{'hecke_orbit_code': 412400746531, 'n': 27, 'trace_an': -340}
-
id: 9048669
{'hecke_orbit_code': 412400746531, 'n': 28, 'trace_an': 0}
-
id: 9048670
{'hecke_orbit_code': 412400746531, 'n': 29, 'trace_an': 0}
-
id: 9048671
{'hecke_orbit_code': 412400746531, 'n': 30, 'trace_an': -5356}
-
id: 9048672
{'hecke_orbit_code': 412400746531, 'n': 31, 'trace_an': -2112}
-
id: 9048673
{'hecke_orbit_code': 412400746531, 'n': 32, 'trace_an': -1200}
-
id: 9048674
{'hecke_orbit_code': 412400746531, 'n': 33, 'trace_an': -6140}
-
id: 9048675
{'hecke_orbit_code': 412400746531, 'n': 34, 'trace_an': 0}
-
id: 9048676
{'hecke_orbit_code': 412400746531, 'n': 35, 'trace_an': 0}
-
id: 9048677
{'hecke_orbit_code': 412400746531, 'n': 36, 'trace_an': 3904}
-
id: 9048678
{'hecke_orbit_code': 412400746531, 'n': 37, 'trace_an': 3980}
-
id: 9048679
{'hecke_orbit_code': 412400746531, 'n': 38, 'trace_an': 9120}
-
id: 9048680
{'hecke_orbit_code': 412400746531, 'n': 39, 'trace_an': 0}
-
id: 9048681
{'hecke_orbit_code': 412400746531, 'n': 40, 'trace_an': 14716}
-
id: 9048682
{'hecke_orbit_code': 412400746531, 'n': 41, 'trace_an': 6384}
-
id: 9048683
{'hecke_orbit_code': 412400746531, 'n': 42, 'trace_an': 4900}
-
id: 9048684
{'hecke_orbit_code': 412400746531, 'n': 43, 'trace_an': -12220}
-
id: 9048685
{'hecke_orbit_code': 412400746531, 'n': 44, 'trace_an': 0}
-
id: 9048686
{'hecke_orbit_code': 412400746531, 'n': 45, 'trace_an': -10528}
-
id: 9048687
{'hecke_orbit_code': 412400746531, 'n': 46, 'trace_an': -8080}
-
id: 9048688
{'hecke_orbit_code': 412400746531, 'n': 47, 'trace_an': -11820}
-
id: 9048689
{'hecke_orbit_code': 412400746531, 'n': 48, 'trace_an': -4040}
-
id: 9048690
{'hecke_orbit_code': 412400746531, 'n': 49, 'trace_an': 0}
-
id: 9048691
{'hecke_orbit_code': 412400746531, 'n': 50, 'trace_an': 10728}
-
id: 9048692
{'hecke_orbit_code': 412400746531, 'n': 51, 'trace_an': -5900}
-
id: 9048693
{'hecke_orbit_code': 412400746531, 'n': 52, 'trace_an': 3600}
-
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