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mf_newforms • Show schema
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{'Nk2': 324, 'analytic_conductor': 0.6467882563723711, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 81, 'char_degree': 18, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 27, 'char_parity': 1, 'char_values': [81, 27, [2], [1]], 'cm_discs': [], 'conrey_index': 4, 'conrey_indexes': [4, 7, 13, 16, 22, 25, 31, 34, 40, 43, 49, 52, 58, 61, 67, 70, 76, 79], 'dim': 144, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 412350414929, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 81, 7, 1, 27, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '81.2.g.a', 'level': 81, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '81.2.g.a', 'prim_orbit_index': 7, 'related_objects': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 324, 'analytic_conductor': 0.6467882563723711, 'char_conductor': 81, 'char_degree': 18, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 27, 'char_parity': 1, 'char_values': [81, 27, [2], [1]], 'conrey_index': 4, 'cusp_dim': 144, 'dim': 144, 'eis_dim': 36, 'eis_new_dim': 36, 'hecke_cutter_primes': [], 'hecke_orbit_code': 412350414929, 'hecke_orbit_dims': [144], 'label': '81.2.g', 'level': 81, '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': 180, 'mf_new_dim': 180, 'num_forms': 1, 'prim_orbit_index': 7, 'relative_dim': 8, 'sturm_bound': 18, 'trace_bound': 0, 'trace_display': [-18, -18, -18, -18], 'traces': [144, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -9, -18, 18, 9, -18, 9, 36, -18, 45, 9, -9, 9, 36, -18, 36, 9, -18, 9, 18, -18, -9, -18, -18, 0, 27, -18, 54, 36, -18, 36, 81, -18, 99, 45, 0, 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mf_twists_cc • Show schema
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id: 3847115
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 7, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.7.8', 'target_level': 81, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3847116
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 100, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.100.1', 'target_level': 243, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3847117
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.55.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3847118
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 298, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.298.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3847119
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 298, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.298.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3847120
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.55.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 3847121
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 676, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.676.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3847122
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 226, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.226.1', 'target_level': 243, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 3847123
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 71, 'target_hecke_orbit_code': 9007199288301985, 'target_is_minimal': False, 'target_label': '6561.2.a.c.1.71', 'target_level': 6561, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 3847124
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 433, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.433.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 3847125
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 433, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.433.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 3847126
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915672481, 'target_is_minimal': False, 'target_label': '6561.2.a.d.1.2', 'target_level': 6561, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 3847127
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 58, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.58.8', 'target_level': 81, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 3847128
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 144, 'source_embedding_index': 8, 'source_hecke_orbit_code': 412350414929, 'source_is_minimal': True, 'source_label': '81.2.g.a.7.8', 'source_level': 81, 'target_conrey_index': 676, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.676.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.8', 'twist_class_level': 81, 'twisting_char_label': '81.77', 'twisting_conrey_index': 77, 'weight': 2}
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hecke_orbit_code 412350414929 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '81.2.g.a', 'level': 81, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 33878000
{'hecke_orbit_code': 412350414929, 'n': 1, 'trace_an': 144}
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id: 33878001
{'hecke_orbit_code': 412350414929, 'n': 2, 'trace_an': -18}
-
id: 33878002
{'hecke_orbit_code': 412350414929, 'n': 3, 'trace_an': -18}
-
id: 33878003
{'hecke_orbit_code': 412350414929, 'n': 4, 'trace_an': -18}
-
id: 33878004
{'hecke_orbit_code': 412350414929, 'n': 5, 'trace_an': -18}
-
id: 33878005
{'hecke_orbit_code': 412350414929, 'n': 6, 'trace_an': -18}
-
id: 33878006
{'hecke_orbit_code': 412350414929, 'n': 7, 'trace_an': -18}
-
id: 33878007
{'hecke_orbit_code': 412350414929, 'n': 8, 'trace_an': -18}
-
id: 33878008
{'hecke_orbit_code': 412350414929, 'n': 9, 'trace_an': -18}
-
id: 33878009
{'hecke_orbit_code': 412350414929, 'n': 10, 'trace_an': -18}
-
id: 33878010
{'hecke_orbit_code': 412350414929, 'n': 11, 'trace_an': -18}
-
id: 33878011
{'hecke_orbit_code': 412350414929, 'n': 12, 'trace_an': -18}
-
id: 33878012
{'hecke_orbit_code': 412350414929, 'n': 13, 'trace_an': -18}
-
id: 33878013
{'hecke_orbit_code': 412350414929, 'n': 14, 'trace_an': -18}
-
id: 33878014
{'hecke_orbit_code': 412350414929, 'n': 15, 'trace_an': -18}
-
id: 33878015
{'hecke_orbit_code': 412350414929, 'n': 16, 'trace_an': -18}
-
id: 33878016
{'hecke_orbit_code': 412350414929, 'n': 17, 'trace_an': -18}
-
id: 33878017
{'hecke_orbit_code': 412350414929, 'n': 18, 'trace_an': -9}
-
id: 33878018
{'hecke_orbit_code': 412350414929, 'n': 19, 'trace_an': -18}
-
id: 33878019
{'hecke_orbit_code': 412350414929, 'n': 20, 'trace_an': 18}
-
id: 33878020
{'hecke_orbit_code': 412350414929, 'n': 21, 'trace_an': 9}
-
id: 33878021
{'hecke_orbit_code': 412350414929, 'n': 22, 'trace_an': -18}
-
id: 33878022
{'hecke_orbit_code': 412350414929, 'n': 23, 'trace_an': 9}
-
id: 33878023
{'hecke_orbit_code': 412350414929, 'n': 24, 'trace_an': 36}
-
id: 33878024
{'hecke_orbit_code': 412350414929, 'n': 25, 'trace_an': -18}
-
id: 33878025
{'hecke_orbit_code': 412350414929, 'n': 26, 'trace_an': 45}
-
id: 33878026
{'hecke_orbit_code': 412350414929, 'n': 27, 'trace_an': 9}
-
id: 33878027
{'hecke_orbit_code': 412350414929, 'n': 28, 'trace_an': -9}
-
id: 33878028
{'hecke_orbit_code': 412350414929, 'n': 29, 'trace_an': 9}
-
id: 33878029
{'hecke_orbit_code': 412350414929, 'n': 30, 'trace_an': 36}
-
id: 33878030
{'hecke_orbit_code': 412350414929, 'n': 31, 'trace_an': -18}
-
id: 33878031
{'hecke_orbit_code': 412350414929, 'n': 32, 'trace_an': 36}
-
id: 33878032
{'hecke_orbit_code': 412350414929, 'n': 33, 'trace_an': 9}
-
id: 33878033
{'hecke_orbit_code': 412350414929, 'n': 34, 'trace_an': -18}
-
id: 33878034
{'hecke_orbit_code': 412350414929, 'n': 35, 'trace_an': 9}
-
id: 33878035
{'hecke_orbit_code': 412350414929, 'n': 36, 'trace_an': 18}
-
id: 33878036
{'hecke_orbit_code': 412350414929, 'n': 37, 'trace_an': -18}
-
id: 33878037
{'hecke_orbit_code': 412350414929, 'n': 38, 'trace_an': -9}
-
id: 33878038
{'hecke_orbit_code': 412350414929, 'n': 39, 'trace_an': -18}
-
id: 33878039
{'hecke_orbit_code': 412350414929, 'n': 40, 'trace_an': -18}
-
id: 33878040
{'hecke_orbit_code': 412350414929, 'n': 41, 'trace_an': 0}
-
id: 33878041
{'hecke_orbit_code': 412350414929, 'n': 42, 'trace_an': 27}
-
id: 33878042
{'hecke_orbit_code': 412350414929, 'n': 43, 'trace_an': -18}
-
id: 33878043
{'hecke_orbit_code': 412350414929, 'n': 44, 'trace_an': 54}
-
id: 33878044
{'hecke_orbit_code': 412350414929, 'n': 45, 'trace_an': 36}
-
id: 33878045
{'hecke_orbit_code': 412350414929, 'n': 46, 'trace_an': -18}
-
id: 33878046
{'hecke_orbit_code': 412350414929, 'n': 47, 'trace_an': 36}
-
id: 33878047
{'hecke_orbit_code': 412350414929, 'n': 48, 'trace_an': 81}
-
id: 33878048
{'hecke_orbit_code': 412350414929, 'n': 49, 'trace_an': -18}
-
id: 33878049
{'hecke_orbit_code': 412350414929, 'n': 50, 'trace_an': 99}
-
id: 33878050
{'hecke_orbit_code': 412350414929, 'n': 51, 'trace_an': 45}
-
id: 33878051
{'hecke_orbit_code': 412350414929, 'n': 52, 'trace_an': 0}
-
id: 33878052
{'hecke_orbit_code': 412350414929, 'n': 53, 'trace_an': 45}
-
id: 33878053
{'hecke_orbit_code': 412350414929, 'n': 54, 'trace_an': 108}
-
id: 33878054
{'hecke_orbit_code': 412350414929, 'n': 55, 'trace_an': -9}
-
id: 33878055
{'hecke_orbit_code': 412350414929, 'n': 56, 'trace_an': 126}
-
id: 33878056
{'hecke_orbit_code': 412350414929, 'n': 57, 'trace_an': 36}
-
id: 33878057
{'hecke_orbit_code': 412350414929, 'n': 58, 'trace_an': -18}
-
id: 33878058
{'hecke_orbit_code': 412350414929, 'n': 59, 'trace_an': 45}
-
id: 33878059
{'hecke_orbit_code': 412350414929, 'n': 60, 'trace_an': 99}
-
id: 33878060
{'hecke_orbit_code': 412350414929, 'n': 61, 'trace_an': -18}
-
id: 33878061
{'hecke_orbit_code': 412350414929, 'n': 62, 'trace_an': 81}
-
id: 33878062
{'hecke_orbit_code': 412350414929, 'n': 63, 'trace_an': 36}
-
id: 33878063
{'hecke_orbit_code': 412350414929, 'n': 64, 'trace_an': -18}
-
id: 33878064
{'hecke_orbit_code': 412350414929, 'n': 65, 'trace_an': 0}
-
id: 33878065
{'hecke_orbit_code': 412350414929, 'n': 66, 'trace_an': -18}
-
id: 33878066
{'hecke_orbit_code': 412350414929, 'n': 67, 'trace_an': 9}
-
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