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{'Nk2': 26244, 'analytic_conductor': 52.38984876616206, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6561, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 72, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915672481, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6561.2.a.d', 'level': 6561, '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': 1, 'related_objects': [], 'relative_dim': 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mf_hecke_cc • Show schema
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{'AL_dims': [[[[3, -1]], 162, 2], [[[3, 1]], 144, 3]], 'ALdims': [144, 162], 'Nk2': 26244, 'analytic_conductor': 52.38984876616206, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6561, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 676, 'dim': 306, 'eis_dim': 107, 'eis_new_dim': 36, 'hecke_orbit_code': 33560993, 'hecke_orbit_dims': [36, 36, 72, 72, 90], 'label': '6561.2.a', 'level': 6561, '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': 783, 'mf_new_dim': 342, 'num_forms': 5, 'plus_dim': 144, 'prim_orbit_index': 1, 'relative_dim': 306, 'sturm_bound': 1458, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [306, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 42720381
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510798915672481, 'target_is_minimal': False, 'target_label': '6561.2.a.d.1.5', 'target_level': 6561, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42720382
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 68, 'target_hecke_orbit_code': 9007199288301985, 'target_is_minimal': False, 'target_label': '6561.2.a.c.1.68', 'target_level': 6561, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42720383
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 4, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.4.1', 'target_level': 81, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42720384
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 541, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.541.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 42720385
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 55, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.55.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 42720386
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 190, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.190.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 42720387
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 676, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.676.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 42720388
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 19, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.19.8', 'target_level': 243, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 42720389
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 61, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.61.1', 'target_level': 81, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 42720390
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 676, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.676.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 42720391
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 190, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.190.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 42720392
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 55, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.55.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 42720393
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 541, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.541.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 42720394
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 72, 'source_embedding_index': 5, 'source_hecke_orbit_code': 13510798915672481, 'source_is_minimal': False, 'source_label': '6561.2.a.d.1.5', 'source_level': 6561, 'target_conrey_index': 64, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.64.8', 'target_level': 243, 'twist_class_label': '81.2.g.a.4.1', 'twist_class_level': 81, 'twisting_char_label': '81.79', 'twisting_conrey_index': 79, 'weight': 2}
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hecke_orbit_code 13510798915672481 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '6561.2.a.d', 'level': 6561, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 131099000
{'hecke_orbit_code': 13510798915672481, 'n': 1, 'trace_an': 72}
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id: 131099001
{'hecke_orbit_code': 13510798915672481, 'n': 2, 'trace_an': 9}
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id: 131099002
{'hecke_orbit_code': 13510798915672481, 'n': 3, 'trace_an': 0}
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id: 131099003
{'hecke_orbit_code': 13510798915672481, 'n': 4, 'trace_an': 63}
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id: 131099004
{'hecke_orbit_code': 13510798915672481, 'n': 5, 'trace_an': 18}
-
id: 131099005
{'hecke_orbit_code': 13510798915672481, 'n': 6, 'trace_an': 0}
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id: 131099006
{'hecke_orbit_code': 13510798915672481, 'n': 7, 'trace_an': 0}
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id: 131099007
{'hecke_orbit_code': 13510798915672481, 'n': 8, 'trace_an': 27}
-
id: 131099008
{'hecke_orbit_code': 13510798915672481, 'n': 9, 'trace_an': 0}
-
id: 131099009
{'hecke_orbit_code': 13510798915672481, 'n': 10, 'trace_an': 0}
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id: 131099010
{'hecke_orbit_code': 13510798915672481, 'n': 11, 'trace_an': 36}
-
id: 131099011
{'hecke_orbit_code': 13510798915672481, 'n': 12, 'trace_an': 0}
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id: 131099012
{'hecke_orbit_code': 13510798915672481, 'n': 13, 'trace_an': 0}
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id: 131099013
{'hecke_orbit_code': 13510798915672481, 'n': 14, 'trace_an': 36}
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id: 131099014
{'hecke_orbit_code': 13510798915672481, 'n': 15, 'trace_an': 0}
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id: 131099015
{'hecke_orbit_code': 13510798915672481, 'n': 16, 'trace_an': 45}
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id: 131099016
{'hecke_orbit_code': 13510798915672481, 'n': 17, 'trace_an': 36}
-
id: 131099017
{'hecke_orbit_code': 13510798915672481, 'n': 18, 'trace_an': 0}
-
id: 131099018
{'hecke_orbit_code': 13510798915672481, 'n': 19, 'trace_an': 0}
-
id: 131099019
{'hecke_orbit_code': 13510798915672481, 'n': 20, 'trace_an': 54}
-
id: 131099020
{'hecke_orbit_code': 13510798915672481, 'n': 21, 'trace_an': 0}
-
id: 131099021
{'hecke_orbit_code': 13510798915672481, 'n': 22, 'trace_an': 0}
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id: 131099022
{'hecke_orbit_code': 13510798915672481, 'n': 23, 'trace_an': 54}
-
id: 131099023
{'hecke_orbit_code': 13510798915672481, 'n': 24, 'trace_an': 0}
-
id: 131099024
{'hecke_orbit_code': 13510798915672481, 'n': 25, 'trace_an': 36}
-
id: 131099025
{'hecke_orbit_code': 13510798915672481, 'n': 26, 'trace_an': 45}
-
id: 131099026
{'hecke_orbit_code': 13510798915672481, 'n': 27, 'trace_an': 0}
-
id: 131099027
{'hecke_orbit_code': 13510798915672481, 'n': 28, 'trace_an': 9}
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id: 131099028
{'hecke_orbit_code': 13510798915672481, 'n': 29, 'trace_an': 54}
-
id: 131099029
{'hecke_orbit_code': 13510798915672481, 'n': 30, 'trace_an': 0}
-
id: 131099030
{'hecke_orbit_code': 13510798915672481, 'n': 31, 'trace_an': 0}
-
id: 131099031
{'hecke_orbit_code': 13510798915672481, 'n': 32, 'trace_an': 63}
-
id: 131099032
{'hecke_orbit_code': 13510798915672481, 'n': 33, 'trace_an': 0}
-
id: 131099033
{'hecke_orbit_code': 13510798915672481, 'n': 34, 'trace_an': 0}
-
id: 131099034
{'hecke_orbit_code': 13510798915672481, 'n': 35, 'trace_an': 72}
-
id: 131099035
{'hecke_orbit_code': 13510798915672481, 'n': 36, 'trace_an': 0}
-
id: 131099036
{'hecke_orbit_code': 13510798915672481, 'n': 37, 'trace_an': 0}
-
id: 131099037
{'hecke_orbit_code': 13510798915672481, 'n': 38, 'trace_an': 54}
-
id: 131099038
{'hecke_orbit_code': 13510798915672481, 'n': 39, 'trace_an': 0}
-
id: 131099039
{'hecke_orbit_code': 13510798915672481, 'n': 40, 'trace_an': 0}
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{'hecke_orbit_code': 13510798915672481, 'n': 1000, 'trace_an': 9}