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mf_newforms • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 81, 'char_degree': 18, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 27, 'char_parity': 1, 'char_values': [729, 27, [2], [22]], 'cm_discs': [], 'conrey_index': 28, 'conrey_indexes': [28, 55, 109, 136, 190, 217, 271, 298, 352, 379, 433, 460, 514, 541, 595, 622, 676, 703], 'dim': 144, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [13966276041, 191861597457, 2095643223198, 18422905756140, 119317100794371, 468775186039962, 2264523477536547, 1662639327384147, -7401547610966790, -162358718421763791, -426090775536788139, -2038991353079101542, -5772526011677414484, 54770121460339097832, 110361694881728333106, -316703305315248098256, 490061236130046612855, -382852081537015110804, -2755375538891172905709, -62387227331000052555168, 229254527451838352408451, -130654669912039050672789, -11784565374647411184966, 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mf_hecke_cc • Show schema
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'embedding_index': 3, 'embedding_m': 11, 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977786073, 'label': '729.2.g.b.55.3', 'level': 729, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2916, 'analytic_conductor': 5.82109430735134, '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': [729, 27, [2], [22]], 'conrey_index': 28, 'cusp_dim': 1296, 'dim': 576, 'eis_dim': 324, 'eis_new_dim': 144, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350415577, 'hecke_orbit_dims': [144, 144, 144, 144], 'label': '729.2.g', 'level': 729, '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': 1620, 'mf_new_dim': 720, 'num_forms': 4, 'prim_orbit_index': 7, 'relative_dim': 32, 'sturm_bound': 162, 'trace_bound': 20, 'trace_display': [0, 0, 0, 36], 'traces': [576, 0, 0, 36, 0, 0, 36, 0, 0, -72, 0, 0, 36, 0, 0, 36, 0, 0, -72, 0, 0, 36, 0, 0, 36, 0, 0, -36, 0, 0, 36, 0, 0, 36, 0, 0, -72, 0, 0, 36, 0, 0, 36, 0, 0, -72, 0, 0, 36, 0, 0, 0, 0, 0, -36, 0, 0, 36, 0, 0, 36, 0, 0, -72, 0, 0, -18, 0, 0, -72, 0, 0, -72, 0, 0, -126, 0, 0, -72, 0, 0, -144, 0, 0, -72, 0, 0, -126, 0, 0, -72, 0, 0, -72, 0, 0, -18, 0, 0, -72, 0, 0, 36, 0, 0, 0, 0, 0, -36, 0, 0, -36, 0, 0, 36, 0, 0, -72, 0, 0, 36, 0, 0, 36, 0, 0, -72, 0, 0, -54, 0, 0, 36, 0, 0, -36, 0, 0, -18, 0, 0, -126, 0, 0, -72, 0, 0, -234, 0, 0, -180, 0, 0, -72, 0, 0, -180, 0, 0, -270, 0, 0, -144, 0, 0, -342, 0, 0, -180, 0, 0, -72, 0, 0, -180, 0, 0, -234, 0, 0, -72, 0, 0, -126, 0, 0, -18, 0, 0, -36, 0, 0, 36, 0, 0, -90, 0, 0, -72, 0, 0, 36, 0, 0, 36, 0, 0, 216, 0, 0, 36, 0, 0, 108, 0, 0, -36, 0, 0, 396, 0, 0, 360, 0, 0, 252, 0, 0, 360, 0, 0, 684, 0, 0, 252, 0, 0, 684, 0, 0, 360, 0, 0, -144, 0, 0, 360, 0, 0, 684, 0, 0, 252, 0, 0, 684, 0, 0, 360, 0, 0, 252, 0, 0, 270, 0, 0, 432, 0, 0, -36, 0, 0, 144, 0, 0, 36, 0, 0, 288, 0, 0, 36, 0, 0, -162, 0, 0, -72, 0, 0, -126, 0, 0, -180, 0, 0, -36, 0, 0, -288, 0, 0, -396, 0, 0, -72, 0, 0, -504, 0, 0, -342, 0, 0, -72, 0, 0, -396, 0, 0, -432, 0, 0, -144, 0, 0, -360, 0, 0, -396, 0, 0, -72, 0, 0, -342, 0, 0, -504, 0, 0, -72, 0, 0, -396, 0, 0, -288, 0, 0, -36, 0, 0, -180, 0, 0, -126, 0, 0, -72, 0, 0, -450, 0, 0, -18, 0, 0, -72, 0, 0, -126, 0, 0, -324, 0, 0, -36, 0, 0, -288, 0, 0, -360, 0, 0, -72, 0, 0, -180, 0, 0, -396, 0, 0, -72, 0, 0, -324, 0, 0, -234, 0, 0, -144, 0, 0, -234, 0, 0, -504, 0, 0, -72, 0, 0, -396, 0, 0, -180, 0, 0, 216, 0, 0, -234, 0, 0, -324, 0, 0, -36, 0, 0, -360, 0, 0, -126, 0, 0, 540, 0, 0, 198, 0, 0, 288, 0, 0, 252, 0, 0, 900, 0, 0, 684, 0, 0, -36, 0, 0, 684, 0, 0, 1224, 0, 0, 576, 0, 0, 1440, 0, 0, 792, 0, 0, 900, 0, 0, 684, 0, 0, 1620, 0, 0, -144, 0, 0, 1548, 0, 0, 684, 0, 0, 900, 0, 0, 792, 0, 0, 1440, 0, 0, 576, 0, 0, 1224, 0, 0, 684, 0, 0, -36, 0, 0, 684, 0, 0, 540, 0, 0, 252, 0, 0, 360, 0, 0, 90, 0, 0, 612, 0, 0, -324, 0, 0, -324, 0, 0, -36, 0, 0, -576, 0, 0, -180, 0, 0, 288, 0, 0, -234, 0, 0, -612, 0, 0, -72, 0, 0, -396, 0, 0, -342, 0, 0, -144, 0, 0, -342, 0, 0, -144, 0, 0, -72, 0, 0, -612, 0, 0, -432, 0, 0, -72, 0, 0, -180, 0, 0, -540, 0, 0, -36, 0, 0, -702, 0, 0, -396, 0, 0, -72, 0, 0, -450, 0, 0, -720, 0, 0, -72, 0, 0, -954, 0, 0, -504, 0, 0, -36, 0, 0, -612, 0, 0, -774, 0, 0, -72, 0, 0, -666, 0, 0, -612, 0, 0, -648, 0, 0, -720, 0, 0, -648, 0, 0, -144, 0, 0, -576, 0, 0, -720, 0, 0, -72, 0, 0, -612, 0, 0, -666, 0, 0, -72, 0, 0, -864, 0, 0, -612, 0, 0, 576, 0, 0, -288, 0, 0, -126, 0, 0, -720, 0, 0, 252, 0, 0, 144, 0, 0, -1368, 0, 0, 306, 0, 0, 846, 0, 0, 288, 0, 0, 900, 0, 0, 576, 0, 0, -2016, 0, 0, 666, 0, 0, 900, 0, 0, -1368, 0, 0, 1548, 0, 0, 468, 0, 0, -144, 0, 0, 468, 0, 0, 1548, 0, 0, -1368, 0, 0, 648, 0, 0, 900, 0, 0, -2016, 0, 0, 576, 0, 0, 396, 0, 0, 288, 0, 0, 882, 0, 0, 18, 0, 0, -1368, 0, 0, 36, 0, 0, 90, 0, 0, -720, 0, 0, -342, 0, 0, -180, 0, 0, 648, 0, 0, -504, 0, 0, -990, 0, 0, -72, 0, 0, -936, 0, 0, -504, 0, 0, -72, 0, 0, -432, 0, 0, -918, 0, 0, -144, 0, 0, -990, 0, 0, -612, 0, 0, -792, 0, 0, -504, 0, 0, -936, 0, 0, -72, 0, 0, -1458, 0, 0, -612, 0, 0, -36, 0, 0, -558, 0, 0, -1206, 0, 0, -72, 0, 0, -1044, 0, 0, -666, 0, 0, 216, 0, 0, -558, 0, 0, -918, 0, 0, -36, 0, 0, -1188, 0, 0, -234, 0, 0, -72, 0, 0, -396, 0, 0, -720, 0, 0, -72, 0, 0, -450, 0, 0, -396, 0, 0, -144, 0, 0, -396, 0, 0, -450, 0, 0, 540, 0, 0, -828, 0, 0, -396, 0, 0, 864, 0, 0, 90, 0, 0, 108, 0, 0, -36, 0, 0, 576, 0, 0, 846, 0, 0, 900, 0, 0, 1062, 0, 0, 1062, 0, 0, 900, 0, 0, 1566, 0, 0, 1170, 0, 0, -36, 0, 0, 1224, 0, 0, 1242, 0, 0, 1224, 0, 0, 1764, 0, 0, 1980, 0, 0, 1548, 0, 0, 1332, 0, 0, 2376, 0, 0, -144, 0, 0, 2448, 0, 0, 1332, 0, 0, 1548, 0, 0, 1980, 0, 0, 1296, 0, 0, 1224, 0, 0, 1656, 0, 0, 1170, 0, 0, -36], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35413344
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 55, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.55.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35413345
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 55, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.55.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35413346
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 298, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.298.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35413347
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 100, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.100.3', 'target_level': 243, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35413348
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 7, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.7.6', 'target_level': 81, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35413349
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 298, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.298.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35413350
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 226, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.226.3', 'target_level': 243, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35413351
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 433, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.433.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35413352
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 48, 'target_hecke_orbit_code': 9007199288301985, 'target_is_minimal': False, 'target_label': '6561.2.a.c.1.48', 'target_level': 6561, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35413353
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 676, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.676.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35413354
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 676, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.676.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 35413355
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 25, 'target_hecke_orbit_code': 13510798915672481, 'target_is_minimal': False, 'target_label': '6561.2.a.d.1.25', 'target_level': 6561, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 35413356
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 433, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.433.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 35413357
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504011977786073, 'source_is_minimal': False, 'source_label': '729.2.g.b.55.3', 'source_level': 729, 'target_conrey_index': 58, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.58.6', 'target_level': 81, 'twist_class_label': '81.2.g.a.7.6', 'twist_class_level': 81, 'twisting_char_label': '81.77', 'twisting_conrey_index': 77, 'weight': 2}
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hecke_orbit_code 4504011977786073 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '729.2.g.b', 'level': 729, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 88150000
{'hecke_orbit_code': 4504011977786073, 'n': 1, 'trace_an': 144}
-
id: 88150001
{'hecke_orbit_code': 4504011977786073, 'n': 2, 'trace_an': -9}
-
id: 88150002
{'hecke_orbit_code': 4504011977786073, 'n': 3, 'trace_an': 0}
-
id: 88150003
{'hecke_orbit_code': 4504011977786073, 'n': 4, 'trace_an': 9}
-
id: 88150004
{'hecke_orbit_code': 4504011977786073, 'n': 5, 'trace_an': -9}
-
id: 88150005
{'hecke_orbit_code': 4504011977786073, 'n': 6, 'trace_an': 0}
-
id: 88150006
{'hecke_orbit_code': 4504011977786073, 'n': 7, 'trace_an': 9}
-
id: 88150007
{'hecke_orbit_code': 4504011977786073, 'n': 8, 'trace_an': 18}
-
id: 88150008
{'hecke_orbit_code': 4504011977786073, 'n': 9, 'trace_an': 0}
-
id: 88150009
{'hecke_orbit_code': 4504011977786073, 'n': 10, 'trace_an': -18}
-
id: 88150010
{'hecke_orbit_code': 4504011977786073, 'n': 11, 'trace_an': -9}
-
id: 88150011
{'hecke_orbit_code': 4504011977786073, 'n': 12, 'trace_an': 0}
-
id: 88150012
{'hecke_orbit_code': 4504011977786073, 'n': 13, 'trace_an': 9}
-
id: 88150013
{'hecke_orbit_code': 4504011977786073, 'n': 14, 'trace_an': -9}
-
id: 88150014
{'hecke_orbit_code': 4504011977786073, 'n': 15, 'trace_an': 0}
-
id: 88150015
{'hecke_orbit_code': 4504011977786073, 'n': 16, 'trace_an': 9}
-
id: 88150016
{'hecke_orbit_code': 4504011977786073, 'n': 17, 'trace_an': 18}
-
id: 88150017
{'hecke_orbit_code': 4504011977786073, 'n': 18, 'trace_an': 0}
-
id: 88150018
{'hecke_orbit_code': 4504011977786073, 'n': 19, 'trace_an': -18}
-
id: 88150019
{'hecke_orbit_code': 4504011977786073, 'n': 20, 'trace_an': 63}
-
id: 88150020
{'hecke_orbit_code': 4504011977786073, 'n': 21, 'trace_an': 0}
-
id: 88150021
{'hecke_orbit_code': 4504011977786073, 'n': 22, 'trace_an': 9}
-
id: 88150022
{'hecke_orbit_code': 4504011977786073, 'n': 23, 'trace_an': -36}
-
id: 88150023
{'hecke_orbit_code': 4504011977786073, 'n': 24, 'trace_an': 0}
-
id: 88150024
{'hecke_orbit_code': 4504011977786073, 'n': 25, 'trace_an': 9}
-
id: 88150025
{'hecke_orbit_code': 4504011977786073, 'n': 26, 'trace_an': -45}
-
id: 88150026
{'hecke_orbit_code': 4504011977786073, 'n': 27, 'trace_an': 0}
-
id: 88150027
{'hecke_orbit_code': 4504011977786073, 'n': 28, 'trace_an': -9}
-
id: 88150028
{'hecke_orbit_code': 4504011977786073, 'n': 29, 'trace_an': 45}
-
id: 88150029
{'hecke_orbit_code': 4504011977786073, 'n': 30, 'trace_an': 0}
-
id: 88150030
{'hecke_orbit_code': 4504011977786073, 'n': 31, 'trace_an': 9}
-
id: 88150031
{'hecke_orbit_code': 4504011977786073, 'n': 32, 'trace_an': -63}
-
id: 88150032
{'hecke_orbit_code': 4504011977786073, 'n': 33, 'trace_an': 0}
-
id: 88150033
{'hecke_orbit_code': 4504011977786073, 'n': 34, 'trace_an': 9}
-
id: 88150034
{'hecke_orbit_code': 4504011977786073, 'n': 35, 'trace_an': -9}
-
id: 88150035
{'hecke_orbit_code': 4504011977786073, 'n': 36, 'trace_an': 0}
-
id: 88150036
{'hecke_orbit_code': 4504011977786073, 'n': 37, 'trace_an': -18}
-
id: 88150037
{'hecke_orbit_code': 4504011977786073, 'n': 38, 'trace_an': 9}
-
id: 88150038
{'hecke_orbit_code': 4504011977786073, 'n': 39, 'trace_an': 0}
-
id: 88150039
{'hecke_orbit_code': 4504011977786073, 'n': 40, 'trace_an': 9}
-
id: 88150040
{'hecke_orbit_code': 4504011977786073, 'n': 41, 'trace_an': 27}
-
id: 88150041
{'hecke_orbit_code': 4504011977786073, 'n': 42, 'trace_an': 0}
-
id: 88150042
{'hecke_orbit_code': 4504011977786073, 'n': 43, 'trace_an': 9}
-
id: 88150043
{'hecke_orbit_code': 4504011977786073, 'n': 44, 'trace_an': -54}
-
id: 88150044
{'hecke_orbit_code': 4504011977786073, 'n': 45, 'trace_an': 0}
-
id: 88150045
{'hecke_orbit_code': 4504011977786073, 'n': 46, 'trace_an': -18}
-
id: 88150046
{'hecke_orbit_code': 4504011977786073, 'n': 47, 'trace_an': -63}
-
id: 88150047
{'hecke_orbit_code': 4504011977786073, 'n': 48, 'trace_an': 0}
-
id: 88150048
{'hecke_orbit_code': 4504011977786073, 'n': 49, 'trace_an': 9}
-
id: 88150049
{'hecke_orbit_code': 4504011977786073, 'n': 50, 'trace_an': 225}
-
id: 88150050
{'hecke_orbit_code': 4504011977786073, 'n': 51, 'trace_an': 0}
-
id: 88150051
{'hecke_orbit_code': 4504011977786073, 'n': 52, 'trace_an': 27}
-
id: 88150052
{'hecke_orbit_code': 4504011977786073, 'n': 53, 'trace_an': -45}
-
id: 88150053
{'hecke_orbit_code': 4504011977786073, 'n': 54, 'trace_an': 0}
-
id: 88150054
{'hecke_orbit_code': 4504011977786073, 'n': 55, 'trace_an': -9}
-
id: 88150055
{'hecke_orbit_code': 4504011977786073, 'n': 56, 'trace_an': -99}
-
id: 88150056
{'hecke_orbit_code': 4504011977786073, 'n': 57, 'trace_an': 0}
-
id: 88150057
{'hecke_orbit_code': 4504011977786073, 'n': 58, 'trace_an': 9}
-
id: 88150058
{'hecke_orbit_code': 4504011977786073, 'n': 59, 'trace_an': 117}
-
id: 88150059
{'hecke_orbit_code': 4504011977786073, 'n': 60, 'trace_an': 0}
-
id: 88150060
{'hecke_orbit_code': 4504011977786073, 'n': 61, 'trace_an': 9}
-
id: 88150061
{'hecke_orbit_code': 4504011977786073, 'n': 62, 'trace_an': -81}
-
id: 88150062
{'hecke_orbit_code': 4504011977786073, 'n': 63, 'trace_an': 0}
-
id: 88150063
{'hecke_orbit_code': 4504011977786073, 'n': 64, 'trace_an': -18}
-
id: 88150064
{'hecke_orbit_code': 4504011977786073, 'n': 65, 'trace_an': -81}
-
id: 88150065
{'hecke_orbit_code': 4504011977786073, 'n': 66, 'trace_an': 0}
-
id: 88150066
{'hecke_orbit_code': 4504011977786073, 'n': 67, 'trace_an': 36}
-
id: 88150067
{'hecke_orbit_code': 4504011977786073, 'n': 68, 'trace_an': 18}
-
id: 88150068
{'hecke_orbit_code': 4504011977786073, 'n': 69, 'trace_an': 0}
-
id: 88150069
{'hecke_orbit_code': 4504011977786073, 'n': 70, 'trace_an': 63}
-
id: 88150070
{'hecke_orbit_code': 4504011977786073, 'n': 71, 'trace_an': 90}
-
id: 88150071
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