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mf_newforms • Show schema
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{'Nk2': 729, 'analytic_conductor': 2.207090141318405, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [81, 18, [2], [1]], 'cm_discs': [], 'conrey_index': 8, 'dim': 30, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343647715409, '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': False, 'label': '81.3.f.a', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, '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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'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 27, 'hecke_orbit': 1, 'hecke_orbit_code': 343647715409, 'label': '81.3.f.a.71.2', 'level': 81, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 729, 'analytic_conductor': 2.207090141318405, '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': [81, 18, [2], [1]], 'conrey_index': 8, 'cusp_dim': 90, 'dim': 30, 'eis_dim': 36, 'eis_new_dim': 12, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343647715409, 'hecke_orbit_dims': [30], 'label': '81.3.f', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 126, 'mf_new_dim': 42, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 5, 'sturm_bound': 27, 'trace_bound': 0, 'trace_display': [6, 0, 15, -6], 'traces': [30, 6, 0, -6, 15, 0, -6, 9, 0, -3, 6, 0, -6, 15, 0, -18, 9, 0, -3, -213, 0, -42, -120, 0, -15, 0, 0, -12, 168, 0, 39, 360, 0, 54, 252, 0, -3, 84, 0, -33, -228, 0, -96, -639, 0, -3, 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mf_twists_cc • Show schema
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id: 3413991
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 71, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715409, 'target_is_minimal': False, 'target_label': '81.3.f.a.71.2', 'target_level': 81, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 3413992
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 14, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343647715355, 'target_is_minimal': True, 'target_label': '27.3.f.a.14.4', 'target_level': 27, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3413993
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 134, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142529827059, 'target_is_minimal': False, 'target_label': '243.3.f.d.134.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3413994
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 53, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943275086067, 'target_is_minimal': False, 'target_label': '243.3.f.b.53.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 3413995
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 53, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542902456563, 'target_is_minimal': False, 'target_label': '243.3.f.c.53.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 3413996
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 134, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343647715571, 'target_is_minimal': False, 'target_label': '243.3.f.a.134.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 3413997
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 257, 'target_dim': 30, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1924195680688, 'target_is_minimal': False, 'target_label': '432.3.bc.a.257.3', 'target_level': 432, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 3413998
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 8, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343647715409, 'target_is_minimal': False, 'target_label': '81.3.f.a.8.2', 'target_level': 81, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 3413999
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 728, 'target_dim': 30, 'target_embedding_index': 12, 'target_hecke_orbit_code': 68769809113, 'target_is_minimal': False, 'target_label': '729.3.b.a.728.12', 'target_level': 729, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 3414000
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 107, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142529827059, 'target_is_minimal': False, 'target_label': '243.3.f.d.107.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 3414001
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 188, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943275086067, 'target_is_minimal': False, 'target_label': '243.3.f.b.188.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 3414002
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 188, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542902456563, 'target_is_minimal': False, 'target_label': '243.3.f.c.188.2', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 3}
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id: 3414003
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 107, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343647715571, 'target_is_minimal': False, 'target_label': '243.3.f.a.107.4', 'target_level': 243, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 3}
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id: 3414004
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 728, 'target_dim': 30, 'target_embedding_index': 19, 'target_hecke_orbit_code': 68769809113, 'target_is_minimal': False, 'target_label': '729.3.b.a.728.19', 'target_level': 729, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 3}
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id: 3414005
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 2, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 343647715355, 'target_is_minimal': True, 'target_label': '27.3.f.a.2.4', 'target_level': 27, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 3}
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id: 3414006
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 71, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 343647715409, 'source_is_minimal': False, 'source_label': '81.3.f.a.71.2', 'source_level': 81, 'target_conrey_index': 353, 'target_dim': 30, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1924195680688, 'target_is_minimal': False, 'target_label': '432.3.bc.a.353.3', 'target_level': 432, 'twist_class_label': '27.3.f.a.2.4', 'twist_class_level': 27, 'twisting_char_label': '108.79', 'twisting_conrey_index': 79, 'weight': 3}
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hecke_orbit_code 343647715409 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '81.3.f.a', 'level': 81, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 8316696
{'hecke_orbit_code': 343647715409, 'n': 1, 'trace_an': 30}
-
id: 8316697
{'hecke_orbit_code': 343647715409, 'n': 2, 'trace_an': 6}
-
id: 8316698
{'hecke_orbit_code': 343647715409, 'n': 3, 'trace_an': 0}
-
id: 8316699
{'hecke_orbit_code': 343647715409, 'n': 4, 'trace_an': -6}
-
id: 8316700
{'hecke_orbit_code': 343647715409, 'n': 5, 'trace_an': 15}
-
id: 8316701
{'hecke_orbit_code': 343647715409, 'n': 6, 'trace_an': 0}
-
id: 8316702
{'hecke_orbit_code': 343647715409, 'n': 7, 'trace_an': -6}
-
id: 8316703
{'hecke_orbit_code': 343647715409, 'n': 8, 'trace_an': 9}
-
id: 8316704
{'hecke_orbit_code': 343647715409, 'n': 9, 'trace_an': 0}
-
id: 8316705
{'hecke_orbit_code': 343647715409, 'n': 10, 'trace_an': -3}
-
id: 8316706
{'hecke_orbit_code': 343647715409, 'n': 11, 'trace_an': 6}
-
id: 8316707
{'hecke_orbit_code': 343647715409, 'n': 12, 'trace_an': 0}
-
id: 8316708
{'hecke_orbit_code': 343647715409, 'n': 13, 'trace_an': -6}
-
id: 8316709
{'hecke_orbit_code': 343647715409, 'n': 14, 'trace_an': 15}
-
id: 8316710
{'hecke_orbit_code': 343647715409, 'n': 15, 'trace_an': 0}
-
id: 8316711
{'hecke_orbit_code': 343647715409, 'n': 16, 'trace_an': -18}
-
id: 8316712
{'hecke_orbit_code': 343647715409, 'n': 17, 'trace_an': 9}
-
id: 8316713
{'hecke_orbit_code': 343647715409, 'n': 18, 'trace_an': 0}
-
id: 8316714
{'hecke_orbit_code': 343647715409, 'n': 19, 'trace_an': -3}
-
id: 8316715
{'hecke_orbit_code': 343647715409, 'n': 20, 'trace_an': -213}
-
id: 8316716
{'hecke_orbit_code': 343647715409, 'n': 21, 'trace_an': 0}
-
id: 8316717
{'hecke_orbit_code': 343647715409, 'n': 22, 'trace_an': -42}
-
id: 8316718
{'hecke_orbit_code': 343647715409, 'n': 23, 'trace_an': -120}
-
id: 8316719
{'hecke_orbit_code': 343647715409, 'n': 24, 'trace_an': 0}
-
id: 8316720
{'hecke_orbit_code': 343647715409, 'n': 25, 'trace_an': -15}
-
id: 8316721
{'hecke_orbit_code': 343647715409, 'n': 26, 'trace_an': 0}
-
id: 8316722
{'hecke_orbit_code': 343647715409, 'n': 27, 'trace_an': 0}
-
id: 8316723
{'hecke_orbit_code': 343647715409, 'n': 28, 'trace_an': -12}
-
id: 8316724
{'hecke_orbit_code': 343647715409, 'n': 29, 'trace_an': 168}
-
id: 8316725
{'hecke_orbit_code': 343647715409, 'n': 30, 'trace_an': 0}
-
id: 8316726
{'hecke_orbit_code': 343647715409, 'n': 31, 'trace_an': 39}
-
id: 8316727
{'hecke_orbit_code': 343647715409, 'n': 32, 'trace_an': 360}
-
id: 8316728
{'hecke_orbit_code': 343647715409, 'n': 33, 'trace_an': 0}
-
id: 8316729
{'hecke_orbit_code': 343647715409, 'n': 34, 'trace_an': 54}
-
id: 8316730
{'hecke_orbit_code': 343647715409, 'n': 35, 'trace_an': 252}
-
id: 8316731
{'hecke_orbit_code': 343647715409, 'n': 36, 'trace_an': 0}
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{'hecke_orbit_code': 343647715409, 'n': 911, 'trace_an': 7404}
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id: 8316941
{'hecke_orbit_code': 343647715409, 'n': 919, 'trace_an': 6864}
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id: 8316942
{'hecke_orbit_code': 343647715409, 'n': 929, 'trace_an': -7176}
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id: 8316943
{'hecke_orbit_code': 343647715409, 'n': 937, 'trace_an': 2751}
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id: 8316944
{'hecke_orbit_code': 343647715409, 'n': 941, 'trace_an': -8112}
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id: 8316945
{'hecke_orbit_code': 343647715409, 'n': 947, 'trace_an': -2181}
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id: 8316946
{'hecke_orbit_code': 343647715409, 'n': 953, 'trace_an': 6246}
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id: 8316947
{'hecke_orbit_code': 343647715409, 'n': 961, 'trace_an': 5169}
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id: 8316948
{'hecke_orbit_code': 343647715409, 'n': 967, 'trace_an': 2010}
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id: 8316949
{'hecke_orbit_code': 343647715409, 'n': 971, 'trace_an': 0}
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id: 8316950
{'hecke_orbit_code': 343647715409, 'n': 977, 'trace_an': -606}
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id: 8316951
{'hecke_orbit_code': 343647715409, 'n': 983, 'trace_an': 1302}
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id: 8316952
{'hecke_orbit_code': 343647715409, 'n': 991, 'trace_an': -2712}
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id: 8316953
{'hecke_orbit_code': 343647715409, 'n': 997, 'trace_an': -3336}