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mf_newforms • Show schema
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{'Nk2': 4100, 'analytic_conductor': 16.95267394575047, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 164, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [164, 2, [83, 129], [1, 1]], 'cm_discs': [], 'conrey_index': 163, 'dim': 72, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [62249214633604342254593463287808, 0, -44108594734548444131685969100800, 0, 12933081547778459038946715869184, 0, -2112047223784850956067388670464, 0, 216527496274161697849112800512, 0, -14853547574731166742443105280, 0, 709270362017370424477290240, 0, -24217583396066592494844672, 0, 602724832362882712613376, 0, -11083415178840852094272, 0, 151916748874476609152, 0, -1558353202627537536, 0, 11947944685595472, 0, -67927702082648, 0, 281530979028, 0, -824581952, 0, 1613788, 0, -1890, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204379168932, 'inner_twist_count': 4, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4100, 'analytic_conductor': 16.95267394575047, 'char_conductor': 164, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [164, 2, [83, 129], [1, 1]], 'conrey_index': 163, 'cusp_dim': 82, 'dim': 82, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 206242316452, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 72], 'label': '164.5.d', 'level': 164, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 41], 'level_radical': 82, 'mf_dim': 86, 'mf_new_dim': 86, 'num_forms': 6, 'prim_orbit_index': 4, 'relative_dim': 82, 'sturm_bound': 105, 'trace_bound': 5, 'trace_display': [-2, 0, 20, 0], 'traces': [82, -2, 0, -2, 20, 0, 0, 34, 2214, -384, 0, 0, 0, 0, 0, -282, 0, 350, 0, -136, 280, 0, 0, 0, 8406, 0, 0, 0, 0, 0, 0, -1982, 3512, 0, 0, -3562, 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-4780648, -5933772, 0, 0, 0, 0, 0, 9440560], 'weight': 5, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 45172249
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518204379168932, 'source_is_minimal': True, 'source_label': '164.5.d.f.163.5', 'source_level': 164, 'target_conrey_index': 163, 'target_dim': 72, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518204379168932, 'target_is_minimal': True, 'target_label': '164.5.d.f.163.5', 'target_level': 164, 'twist_class_label': '164.5.d.f.163.5', 'twist_class_level': 164, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 5}
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id: 45172250
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518204379168932, 'source_is_minimal': True, 'source_label': '164.5.d.f.163.5', 'source_level': 164, 'target_conrey_index': 163, 'target_dim': 72, 'target_embedding_index': 8, 'target_hecke_orbit_code': 22518204379168932, 'target_is_minimal': True, 'target_label': '164.5.d.f.163.8', 'target_level': 164, 'twist_class_label': '164.5.d.f.163.5', 'twist_class_level': 164, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 5}
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id: 45172251
{'conductor': 41, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 163, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518204379168932, 'source_is_minimal': True, 'source_label': '164.5.d.f.163.5', 'source_level': 164, 'target_conrey_index': 163, 'target_dim': 72, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518204379168932, 'target_is_minimal': True, 'target_label': '164.5.d.f.163.6', 'target_level': 164, 'twist_class_label': '164.5.d.f.163.5', 'twist_class_level': 164, 'twisting_char_label': '41.40', 'twisting_conrey_index': 40, 'weight': 5}
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id: 45172252
{'conductor': 164, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 163, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 22518204379168932, 'source_is_minimal': True, 'source_label': '164.5.d.f.163.5', 'source_level': 164, 'target_conrey_index': 163, 'target_dim': 72, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22518204379168932, 'target_is_minimal': True, 'target_label': '164.5.d.f.163.7', 'target_level': 164, 'twist_class_label': '164.5.d.f.163.5', 'twist_class_level': 164, 'twisting_char_label': '164.163', 'twisting_conrey_index': 163, 'weight': 5}
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hecke_orbit_code 22518204379168932 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '164.5.d.f', 'level': 164, 'portrait': 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', 'weight': 5}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44292643
{'hecke_orbit_code': 22518204379168932, 'n': 1, 'trace_an': 72}
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id: 44292644
{'hecke_orbit_code': 22518204379168932, 'n': 2, 'trace_an': 6}
-
id: 44292645
{'hecke_orbit_code': 22518204379168932, 'n': 3, 'trace_an': 0}
-
id: 44292646
{'hecke_orbit_code': 22518204379168932, 'n': 4, 'trace_an': -162}
-
id: 44292647
{'hecke_orbit_code': 22518204379168932, 'n': 5, 'trace_an': -8}
-
id: 44292648
{'hecke_orbit_code': 22518204379168932, 'n': 6, 'trace_an': 0}
-
id: 44292649
{'hecke_orbit_code': 22518204379168932, 'n': 7, 'trace_an': 0}
-
id: 44292650
{'hecke_orbit_code': 22518204379168932, 'n': 8, 'trace_an': 162}
-
id: 44292651
{'hecke_orbit_code': 22518204379168932, 'n': 9, 'trace_an': 1728}
-
id: 44292652
{'hecke_orbit_code': 22518204379168932, 'n': 10, 'trace_an': -272}
-
id: 44292653
{'hecke_orbit_code': 22518204379168932, 'n': 11, 'trace_an': 0}
-
id: 44292654
{'hecke_orbit_code': 22518204379168932, 'n': 12, 'trace_an': 0}
-
id: 44292655
{'hecke_orbit_code': 22518204379168932, 'n': 13, 'trace_an': 0}
-
id: 44292656
{'hecke_orbit_code': 22518204379168932, 'n': 14, 'trace_an': 0}
-
id: 44292657
{'hecke_orbit_code': 22518204379168932, 'n': 15, 'trace_an': 0}
-
id: 44292658
{'hecke_orbit_code': 22518204379168932, 'n': 16, 'trace_an': -2842}
-
id: 44292659
{'hecke_orbit_code': 22518204379168932, 'n': 17, 'trace_an': 0}
-
id: 44292660
{'hecke_orbit_code': 22518204379168932, 'n': 18, 'trace_an': -298}
-
id: 44292661
{'hecke_orbit_code': 22518204379168932, 'n': 19, 'trace_an': 0}
-
id: 44292662
{'hecke_orbit_code': 22518204379168932, 'n': 20, 'trace_an': -584}
-
id: 44292663
{'hecke_orbit_code': 22518204379168932, 'n': 21, 'trace_an': 280}
-
id: 44292664
{'hecke_orbit_code': 22518204379168932, 'n': 22, 'trace_an': 0}
-
id: 44292665
{'hecke_orbit_code': 22518204379168932, 'n': 23, 'trace_an': 0}
-
id: 44292666
{'hecke_orbit_code': 22518204379168932, 'n': 24, 'trace_an': 0}
-
id: 44292667
{'hecke_orbit_code': 22518204379168932, 'n': 25, 'trace_an': 4264}
-
id: 44292668
{'hecke_orbit_code': 22518204379168932, 'n': 26, 'trace_an': 0}
-
id: 44292669
{'hecke_orbit_code': 22518204379168932, 'n': 27, 'trace_an': 0}
-
id: 44292670
{'hecke_orbit_code': 22518204379168932, 'n': 28, 'trace_an': 0}
-
id: 44292671
{'hecke_orbit_code': 22518204379168932, 'n': 29, 'trace_an': 0}
-
id: 44292672
{'hecke_orbit_code': 22518204379168932, 'n': 30, 'trace_an': 0}
-
id: 44292673
{'hecke_orbit_code': 22518204379168932, 'n': 31, 'trace_an': 0}
-
id: 44292674
{'hecke_orbit_code': 22518204379168932, 'n': 32, 'trace_an': 66}
-
id: 44292675
{'hecke_orbit_code': 22518204379168932, 'n': 33, 'trace_an': 3512}
-
id: 44292676
{'hecke_orbit_code': 22518204379168932, 'n': 34, 'trace_an': 0}
-
id: 44292677
{'hecke_orbit_code': 22518204379168932, 'n': 35, 'trace_an': 0}
-
id: 44292678
{'hecke_orbit_code': 22518204379168932, 'n': 36, 'trace_an': -11338}
-
id: 44292679
{'hecke_orbit_code': 22518204379168932, 'n': 37, 'trace_an': 5720}
-
id: 44292680
{'hecke_orbit_code': 22518204379168932, 'n': 38, 'trace_an': 0}
-
id: 44292681
{'hecke_orbit_code': 22518204379168932, 'n': 39, 'trace_an': 0}
-
id: 44292682
{'hecke_orbit_code': 22518204379168932, 'n': 40, 'trace_an': -4648}
-
id: 44292683
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