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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, 372264913611, 3993668752419, 19992334465377, 55059807693222, 672941733749199, 11965594258003194, 121380428032544844, 820686471902695287, 4128646613916436119, 16526540090355413571, 52597141575027461604, 117222537417578934057, 103975499556972972675, -383220150463226685573, -1957516581873910205655, -4946261039109406386387, -11055260999383687740699, -16014647105031337594902, 102236834672782329238722, 1160520735789266788833930, 6274627413117896302776747, 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mf_hecke_cc • Show schema
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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: 4335549
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 109, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.109.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 4335550
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 109, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.109.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 4335551
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 352, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.352.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 4335552
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 118, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.118.8', 'target_level': 243, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 4335553
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 76, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.76.1', 'target_level': 81, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 4335554
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 352, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.352.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 4335555
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 622, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.622.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 4335556
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 379, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.379.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 4335557
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 68, 'target_hecke_orbit_code': 13510798915672481, 'target_is_minimal': False, 'target_label': '6561.2.a.d.1.68', 'target_level': 6561, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 4335558
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 16, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.16.1', 'target_level': 81, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 4335559
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 208, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.208.8', 'target_level': 243, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 4335560
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007199288301985, 'target_is_minimal': False, 'target_label': '6561.2.a.c.1.5', 'target_level': 6561, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.50', 'twisting_conrey_index': 50, 'weight': 2}
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id: 4335561
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 379, 'target_dim': 144, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.379.8', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 4335562
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 144, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350415577, 'source_is_minimal': False, 'source_label': '729.2.g.a.109.1', 'source_level': 729, 'target_conrey_index': 622, 'target_dim': 144, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.622.1', 'target_level': 729, 'twist_class_label': '81.2.g.a.16.1', 'twist_class_level': 81, 'twisting_char_label': '81.70', 'twisting_conrey_index': 70, 'weight': 2}
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hecke_orbit_code 412350415577 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '729.2.g.a', '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: 34213000
{'hecke_orbit_code': 412350415577, 'n': 1, 'trace_an': 144}
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id: 34213001
{'hecke_orbit_code': 412350415577, 'n': 2, 'trace_an': -9}
-
id: 34213002
{'hecke_orbit_code': 412350415577, 'n': 3, 'trace_an': 0}
-
id: 34213003
{'hecke_orbit_code': 412350415577, 'n': 4, 'trace_an': 9}
-
id: 34213004
{'hecke_orbit_code': 412350415577, 'n': 5, 'trace_an': -9}
-
id: 34213005
{'hecke_orbit_code': 412350415577, 'n': 6, 'trace_an': 0}
-
id: 34213006
{'hecke_orbit_code': 412350415577, 'n': 7, 'trace_an': 9}
-
id: 34213007
{'hecke_orbit_code': 412350415577, 'n': 8, 'trace_an': 18}
-
id: 34213008
{'hecke_orbit_code': 412350415577, 'n': 9, 'trace_an': 0}
-
id: 34213009
{'hecke_orbit_code': 412350415577, 'n': 10, 'trace_an': -18}
-
id: 34213010
{'hecke_orbit_code': 412350415577, 'n': 11, 'trace_an': -9}
-
id: 34213011
{'hecke_orbit_code': 412350415577, 'n': 12, 'trace_an': 0}
-
id: 34213012
{'hecke_orbit_code': 412350415577, 'n': 13, 'trace_an': 9}
-
id: 34213013
{'hecke_orbit_code': 412350415577, 'n': 14, 'trace_an': -9}
-
id: 34213014
{'hecke_orbit_code': 412350415577, 'n': 15, 'trace_an': 0}
-
id: 34213015
{'hecke_orbit_code': 412350415577, 'n': 16, 'trace_an': 9}
-
id: 34213016
{'hecke_orbit_code': 412350415577, 'n': 17, 'trace_an': 18}
-
id: 34213017
{'hecke_orbit_code': 412350415577, 'n': 18, 'trace_an': 0}
-
id: 34213018
{'hecke_orbit_code': 412350415577, 'n': 19, 'trace_an': -18}
-
id: 34213019
{'hecke_orbit_code': 412350415577, 'n': 20, 'trace_an': -45}
-
id: 34213020
{'hecke_orbit_code': 412350415577, 'n': 21, 'trace_an': 0}
-
id: 34213021
{'hecke_orbit_code': 412350415577, 'n': 22, 'trace_an': 9}
-
id: 34213022
{'hecke_orbit_code': 412350415577, 'n': 23, 'trace_an': 45}
-
id: 34213023
{'hecke_orbit_code': 412350415577, 'n': 24, 'trace_an': 0}
-
id: 34213024
{'hecke_orbit_code': 412350415577, 'n': 25, 'trace_an': 9}
-
id: 34213025
{'hecke_orbit_code': 412350415577, 'n': 26, 'trace_an': -45}
-
id: 34213026
{'hecke_orbit_code': 412350415577, 'n': 27, 'trace_an': 0}
-
id: 34213027
{'hecke_orbit_code': 412350415577, 'n': 28, 'trace_an': -9}
-
id: 34213028
{'hecke_orbit_code': 412350415577, 'n': 29, 'trace_an': -36}
-
id: 34213029
{'hecke_orbit_code': 412350415577, 'n': 30, 'trace_an': 0}
-
id: 34213030
{'hecke_orbit_code': 412350415577, 'n': 31, 'trace_an': 9}
-
id: 34213031
{'hecke_orbit_code': 412350415577, 'n': 32, 'trace_an': 99}
-
id: 34213032
{'hecke_orbit_code': 412350415577, 'n': 33, 'trace_an': 0}
-
id: 34213033
{'hecke_orbit_code': 412350415577, 'n': 34, 'trace_an': 9}
-
id: 34213034
{'hecke_orbit_code': 412350415577, 'n': 35, 'trace_an': -9}
-
id: 34213035
{'hecke_orbit_code': 412350415577, 'n': 36, 'trace_an': 0}
-
id: 34213036
{'hecke_orbit_code': 412350415577, 'n': 37, 'trace_an': -18}
-
id: 34213037
{'hecke_orbit_code': 412350415577, 'n': 38, 'trace_an': -18}
-
id: 34213038
{'hecke_orbit_code': 412350415577, 'n': 39, 'trace_an': 0}
-
id: 34213039
{'hecke_orbit_code': 412350415577, 'n': 40, 'trace_an': 9}
-
id: 34213040
{'hecke_orbit_code': 412350415577, 'n': 41, 'trace_an': -27}
-
id: 34213041
{'hecke_orbit_code': 412350415577, 'n': 42, 'trace_an': 0}
-
id: 34213042
{'hecke_orbit_code': 412350415577, 'n': 43, 'trace_an': 9}
-
id: 34213043
{'hecke_orbit_code': 412350415577, 'n': 44, 'trace_an': -54}
-
id: 34213044
{'hecke_orbit_code': 412350415577, 'n': 45, 'trace_an': 0}
-
id: 34213045
{'hecke_orbit_code': 412350415577, 'n': 46, 'trace_an': -18}
-
id: 34213046
{'hecke_orbit_code': 412350415577, 'n': 47, 'trace_an': 99}
-
id: 34213047
{'hecke_orbit_code': 412350415577, 'n': 48, 'trace_an': 0}
-
id: 34213048
{'hecke_orbit_code': 412350415577, 'n': 49, 'trace_an': 9}
-
id: 34213049
{'hecke_orbit_code': 412350415577, 'n': 50, 'trace_an': -126}
-
id: 34213050
{'hecke_orbit_code': 412350415577, 'n': 51, 'trace_an': 0}
-
id: 34213051
{'hecke_orbit_code': 412350415577, 'n': 52, 'trace_an': -27}
-
id: 34213052
{'hecke_orbit_code': 412350415577, 'n': 53, 'trace_an': -45}
-
id: 34213053
{'hecke_orbit_code': 412350415577, 'n': 54, 'trace_an': 0}
-
id: 34213054
{'hecke_orbit_code': 412350415577, 'n': 55, 'trace_an': -9}
-
id: 34213055
{'hecke_orbit_code': 412350415577, 'n': 56, 'trace_an': 225}
-
id: 34213056
{'hecke_orbit_code': 412350415577, 'n': 57, 'trace_an': 0}
-
id: 34213057
{'hecke_orbit_code': 412350415577, 'n': 58, 'trace_an': 9}
-
id: 34213058
{'hecke_orbit_code': 412350415577, 'n': 59, 'trace_an': -72}
-
id: 34213059
{'hecke_orbit_code': 412350415577, 'n': 60, 'trace_an': 0}
-
id: 34213060
{'hecke_orbit_code': 412350415577, 'n': 61, 'trace_an': 9}
-
id: 34213061
{'hecke_orbit_code': 412350415577, 'n': 62, 'trace_an': -81}
-
id: 34213062
{'hecke_orbit_code': 412350415577, 'n': 63, 'trace_an': 0}
-
id: 34213063
{'hecke_orbit_code': 412350415577, 'n': 64, 'trace_an': -18}
-
id: 34213064
{'hecke_orbit_code': 412350415577, 'n': 65, 'trace_an': 81}
-
id: 34213065
{'hecke_orbit_code': 412350415577, 'n': 66, 'trace_an': 0}
-
id: 34213066
{'hecke_orbit_code': 412350415577, 'n': 67, 'trace_an': -45}
-
id: 34213067
{'hecke_orbit_code': 412350415577, 'n': 68, 'trace_an': -117}
-
id: 34213068
{'hecke_orbit_code': 412350415577, 'n': 69, 'trace_an': 0}
-
id: 34213069
{'hecke_orbit_code': 412350415577, 'n': 70, 'trace_an': -99}
-
id: 34213070
{'hecke_orbit_code': 412350415577, 'n': 71, 'trace_an': 90}
-
id: 34213071
{'hecke_orbit_code': 412350415577, 'n': 72, 'trace_an': 0}
-
id: 34213072
{'hecke_orbit_code': 412350415577, 'n': 73, 'trace_an': -18}
-
id: 34213073
{'hecke_orbit_code': 412350415577, 'n': 74, 'trace_an': -81}
-
id: 34213074
{'hecke_orbit_code': 412350415577, 'n': 75, 'trace_an': 0}
-
id: 34213075
{'hecke_orbit_code': 412350415577, 'n': 76, 'trace_an': -153}
-
id: 34213076
{'hecke_orbit_code': 412350415577, 'n': 77, 'trace_an': -81}
-
id: 34213077
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