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mf_newforms • Show schema
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{'Nk2': 243, 'analytic_conductor': 0.7356967137728017, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [27, 18, [2], [1]], 'cm_discs': [], 'conrey_index': 2, 'dim': 30, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343647715355, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 6, -1, 18, 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': '27.3.f.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.3.f.a', 'prim_orbit_index': 6, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 243, 'analytic_conductor': 0.7356967137728017, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [27, 18, [2], [1]], 'conrey_index': 2, 'cusp_dim': 30, 'dim': 30, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343647715355, 'hecke_orbit_dims': [30], 'label': '27.3.f', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 42, 'mf_new_dim': 42, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 5, 'sturm_bound': 9, 'trace_bound': 0, 'trace_display': [-6, -6, -15, -6], 'traces': [30, -6, -6, -6, -15, -18, -6, -9, 0, -3, -6, -15, -6, -15, -9, -18, -9, 63, -3, 213, 132, -42, 120, 144, -15, 0, -90, -12, -168, -243, 39, -360, -207, 54, -252, -360, -3, -84, 15, 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mf_twists_cc • Show schema
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id: 3408815
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 11, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343647715355, 'target_is_minimal': True, 'target_label': '27.3.f.a.11.4', 'target_level': 27, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 3408816
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 35, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715409, 'target_is_minimal': False, 'target_label': '81.3.f.a.35.2', 'target_level': 81, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3408817
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 65, 'target_dim': 30, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1924195680688, 'target_is_minimal': False, 'target_label': '432.3.bc.a.65.3', 'target_level': 432, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 3408818
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 26, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943275086067, 'target_is_minimal': False, 'target_label': '243.3.f.b.26.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3408819
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 188, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511142529827059, 'target_is_minimal': False, 'target_label': '243.3.f.d.188.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 3408820
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 188, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715571, 'target_is_minimal': False, 'target_label': '243.3.f.a.188.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 3408821
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 26, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542902456563, 'target_is_minimal': False, 'target_label': '243.3.f.c.26.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 3408822
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 215, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943275086067, 'target_is_minimal': False, 'target_label': '243.3.f.b.215.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 3408823
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 5, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343647715355, 'target_is_minimal': True, 'target_label': '27.3.f.a.5.4', 'target_level': 27, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 3408824
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 728, 'target_dim': 30, 'target_embedding_index': 11, 'target_hecke_orbit_code': 68769809113, 'target_is_minimal': False, 'target_label': '729.3.b.a.728.11', 'target_level': 729, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 3408825
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 53, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715571, 'target_is_minimal': False, 'target_label': '243.3.f.a.53.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 3}
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id: 3408826
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 53, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511142529827059, 'target_is_minimal': False, 'target_label': '243.3.f.d.53.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 3408827
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 728, 'target_dim': 30, 'target_embedding_index': 20, 'target_hecke_orbit_code': 68769809113, 'target_is_minimal': False, 'target_label': '729.3.b.a.728.20', 'target_level': 729, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 3}
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id: 3408828
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 44, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715409, 'target_is_minimal': False, 'target_label': '81.3.f.a.44.2', 'target_level': 81, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 3}
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id: 3408829
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 215, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542902456563, 'target_is_minimal': False, 'target_label': '243.3.f.c.215.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 3}
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id: 3408830
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 30, 'source_embedding_index': 4, 'source_hecke_orbit_code': 343647715355, 'source_is_minimal': True, 'source_label': '27.3.f.a.11.4', 'source_level': 27, 'target_conrey_index': 113, 'target_dim': 30, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1924195680688, 'target_is_minimal': False, 'target_label': '432.3.bc.a.113.3', 'target_level': 432, 'twist_class_label': '27.3.f.a.5.4', 'twist_class_level': 27, 'twisting_char_label': '108.59', 'twisting_conrey_index': 59, 'weight': 3}
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hecke_orbit_code 343647715355 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '27.3.f.a', 'level': 27, 'portrait': 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'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8309472
{'hecke_orbit_code': 343647715355, 'n': 1, 'trace_an': 30}
-
id: 8309473
{'hecke_orbit_code': 343647715355, 'n': 2, 'trace_an': -6}
-
id: 8309474
{'hecke_orbit_code': 343647715355, 'n': 3, 'trace_an': -6}
-
id: 8309475
{'hecke_orbit_code': 343647715355, 'n': 4, 'trace_an': -6}
-
id: 8309476
{'hecke_orbit_code': 343647715355, 'n': 5, 'trace_an': -15}
-
id: 8309477
{'hecke_orbit_code': 343647715355, 'n': 6, 'trace_an': -18}
-
id: 8309478
{'hecke_orbit_code': 343647715355, 'n': 7, 'trace_an': -6}
-
id: 8309479
{'hecke_orbit_code': 343647715355, 'n': 8, 'trace_an': -9}
-
id: 8309480
{'hecke_orbit_code': 343647715355, 'n': 9, 'trace_an': 0}
-
id: 8309481
{'hecke_orbit_code': 343647715355, 'n': 10, 'trace_an': -3}
-
id: 8309482
{'hecke_orbit_code': 343647715355, 'n': 11, 'trace_an': -6}
-
id: 8309483
{'hecke_orbit_code': 343647715355, 'n': 12, 'trace_an': -15}
-
id: 8309484
{'hecke_orbit_code': 343647715355, 'n': 13, 'trace_an': -6}
-
id: 8309485
{'hecke_orbit_code': 343647715355, 'n': 14, 'trace_an': -15}
-
id: 8309486
{'hecke_orbit_code': 343647715355, 'n': 15, 'trace_an': -9}
-
id: 8309487
{'hecke_orbit_code': 343647715355, 'n': 16, 'trace_an': -18}
-
id: 8309488
{'hecke_orbit_code': 343647715355, 'n': 17, 'trace_an': -9}
-
id: 8309489
{'hecke_orbit_code': 343647715355, 'n': 18, 'trace_an': 63}
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id: 8309490
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