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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, '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, 23532924193041672011520513, -67868933484593224827328050, 158283691011545979907991646, -307683041314259006991020430, 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mf_hecke_cc • Show schema
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'embedding_index': 3, 'embedding_m': 99, 'hecke_orbit': 4, 'hecke_orbit_code': 13511211232527065, 'label': '729.2.g.d.514.3', '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_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': 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: 43288136
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 514, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.514.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43288137
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 514, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.514.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43288138
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 28, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.28.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43288139
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 13, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.13.6', 'target_level': 81, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43288140
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 10, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.10.3', 'target_level': 243, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43288141
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 28, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.28.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43288142
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 217, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350415577, 'target_is_minimal': False, 'target_label': '729.2.g.a.217.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43288143
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 49, 'target_hecke_orbit_code': 9007199288301985, 'target_is_minimal': False, 'target_label': '6561.2.a.c.1.49', 'target_level': 6561, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43288144
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 703, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007611605156569, 'target_is_minimal': False, 'target_label': '729.2.g.c.703.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 43288145
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 73, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350415091, 'target_is_minimal': False, 'target_label': '243.2.g.a.73.3', 'target_level': 243, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43288146
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 25, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 412350414929, 'target_is_minimal': True, 'target_label': '81.2.g.a.25.6', 'target_level': 81, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 43288147
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 703, 'target_dim': 144, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504011977786073, 'target_is_minimal': False, 'target_label': '729.2.g.b.703.6', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 43288148
{'conductor': 81, 'degree': 18, 'order': 54, 'parity': -1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 1, 'target_dim': 72, 'target_embedding_index': 24, 'target_hecke_orbit_code': 13510798915672481, 'target_is_minimal': False, 'target_label': '6561.2.a.d.1.24', 'target_level': 6561, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 43288149
{'conductor': 81, 'degree': 18, 'order': 27, 'parity': 1, 'source_conrey_index': 514, 'source_dim': 144, 'source_embedding_index': 3, 'source_hecke_orbit_code': 13511211232527065, 'source_is_minimal': False, 'source_label': '729.2.g.d.514.3', 'source_level': 729, 'target_conrey_index': 217, 'target_dim': 144, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511211232527065, 'target_is_minimal': False, 'target_label': '729.2.g.d.217.3', 'target_level': 729, 'twist_class_label': '81.2.g.a.13.6', 'twist_class_level': 81, 'twisting_char_label': '81.79', 'twisting_conrey_index': 79, 'weight': 2}
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hecke_orbit_code 13511211232527065 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 4, 'label': '729.2.g.d', 'level': 729, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 36746401
{'hecke_orbit_code': 13511211232527065, 'n': 1, 'trace_an': 144}
-
id: 36746402
{'hecke_orbit_code': 13511211232527065, 'n': 2, 'trace_an': 9}
-
id: 36746403
{'hecke_orbit_code': 13511211232527065, 'n': 3, 'trace_an': 0}
-
id: 36746404
{'hecke_orbit_code': 13511211232527065, 'n': 4, 'trace_an': 9}
-
id: 36746405
{'hecke_orbit_code': 13511211232527065, 'n': 5, 'trace_an': 9}
-
id: 36746406
{'hecke_orbit_code': 13511211232527065, 'n': 6, 'trace_an': 0}
-
id: 36746407
{'hecke_orbit_code': 13511211232527065, 'n': 7, 'trace_an': 9}
-
id: 36746408
{'hecke_orbit_code': 13511211232527065, 'n': 8, 'trace_an': -18}
-
id: 36746409
{'hecke_orbit_code': 13511211232527065, 'n': 9, 'trace_an': 0}
-
id: 36746410
{'hecke_orbit_code': 13511211232527065, 'n': 10, 'trace_an': -18}
-
id: 36746411
{'hecke_orbit_code': 13511211232527065, 'n': 11, 'trace_an': 9}
-
id: 36746412
{'hecke_orbit_code': 13511211232527065, 'n': 12, 'trace_an': 0}
-
id: 36746413
{'hecke_orbit_code': 13511211232527065, 'n': 13, 'trace_an': 9}
-
id: 36746414
{'hecke_orbit_code': 13511211232527065, 'n': 14, 'trace_an': 9}
-
id: 36746415
{'hecke_orbit_code': 13511211232527065, 'n': 15, 'trace_an': 0}
-
id: 36746416
{'hecke_orbit_code': 13511211232527065, 'n': 16, 'trace_an': 9}
-
id: 36746417
{'hecke_orbit_code': 13511211232527065, 'n': 17, 'trace_an': -18}
-
id: 36746418
{'hecke_orbit_code': 13511211232527065, 'n': 18, 'trace_an': 0}
-
id: 36746419
{'hecke_orbit_code': 13511211232527065, 'n': 19, 'trace_an': -18}
-
id: 36746420
{'hecke_orbit_code': 13511211232527065, 'n': 20, 'trace_an': 45}
-
id: 36746421
{'hecke_orbit_code': 13511211232527065, 'n': 21, 'trace_an': 0}
-
id: 36746422
{'hecke_orbit_code': 13511211232527065, 'n': 22, 'trace_an': 9}
-
id: 36746423
{'hecke_orbit_code': 13511211232527065, 'n': 23, 'trace_an': -45}
-
id: 36746424
{'hecke_orbit_code': 13511211232527065, 'n': 24, 'trace_an': 0}
-
id: 36746425
{'hecke_orbit_code': 13511211232527065, 'n': 25, 'trace_an': 9}
-
id: 36746426
{'hecke_orbit_code': 13511211232527065, 'n': 26, 'trace_an': 45}
-
id: 36746427
{'hecke_orbit_code': 13511211232527065, 'n': 27, 'trace_an': 0}
-
id: 36746428
{'hecke_orbit_code': 13511211232527065, 'n': 28, 'trace_an': -9}
-
id: 36746429
{'hecke_orbit_code': 13511211232527065, 'n': 29, 'trace_an': 36}
-
id: 36746430
{'hecke_orbit_code': 13511211232527065, 'n': 30, 'trace_an': 0}
-
id: 36746431
{'hecke_orbit_code': 13511211232527065, 'n': 31, 'trace_an': 9}
-
id: 36746432
{'hecke_orbit_code': 13511211232527065, 'n': 32, 'trace_an': -99}
-
id: 36746433
{'hecke_orbit_code': 13511211232527065, 'n': 33, 'trace_an': 0}
-
id: 36746434
{'hecke_orbit_code': 13511211232527065, 'n': 34, 'trace_an': 9}
-
id: 36746435
{'hecke_orbit_code': 13511211232527065, 'n': 35, 'trace_an': 9}
-
id: 36746436
{'hecke_orbit_code': 13511211232527065, 'n': 36, 'trace_an': 0}
-
id: 36746437
{'hecke_orbit_code': 13511211232527065, 'n': 37, 'trace_an': -18}
-
id: 36746438
{'hecke_orbit_code': 13511211232527065, 'n': 38, 'trace_an': 18}
-
id: 36746439
{'hecke_orbit_code': 13511211232527065, 'n': 39, 'trace_an': 0}
-
id: 36746440
{'hecke_orbit_code': 13511211232527065, 'n': 40, 'trace_an': 9}
-
id: 36746441
{'hecke_orbit_code': 13511211232527065, 'n': 41, 'trace_an': 27}
-
id: 36746442
{'hecke_orbit_code': 13511211232527065, 'n': 42, 'trace_an': 0}
-
id: 36746443
{'hecke_orbit_code': 13511211232527065, 'n': 43, 'trace_an': 9}
-
id: 36746444
{'hecke_orbit_code': 13511211232527065, 'n': 44, 'trace_an': 54}
-
id: 36746445
{'hecke_orbit_code': 13511211232527065, 'n': 45, 'trace_an': 0}
-
id: 36746446
{'hecke_orbit_code': 13511211232527065, 'n': 46, 'trace_an': -18}
-
id: 36746447
{'hecke_orbit_code': 13511211232527065, 'n': 47, 'trace_an': -99}
-
id: 36746448
{'hecke_orbit_code': 13511211232527065, 'n': 48, 'trace_an': 0}
-
id: 36746449
{'hecke_orbit_code': 13511211232527065, 'n': 49, 'trace_an': 9}
-
id: 36746450
{'hecke_orbit_code': 13511211232527065, 'n': 50, 'trace_an': 126}
-
id: 36746451
{'hecke_orbit_code': 13511211232527065, 'n': 51, 'trace_an': 0}
-
id: 36746452
{'hecke_orbit_code': 13511211232527065, 'n': 52, 'trace_an': -27}
-
id: 36746453
{'hecke_orbit_code': 13511211232527065, 'n': 53, 'trace_an': 45}
-
id: 36746454
{'hecke_orbit_code': 13511211232527065, 'n': 54, 'trace_an': 0}
-
id: 36746455
{'hecke_orbit_code': 13511211232527065, 'n': 55, 'trace_an': -9}
-
id: 36746456
{'hecke_orbit_code': 13511211232527065, 'n': 56, 'trace_an': -225}
-
id: 36746457
{'hecke_orbit_code': 13511211232527065, 'n': 57, 'trace_an': 0}
-
id: 36746458
{'hecke_orbit_code': 13511211232527065, 'n': 58, 'trace_an': 9}
-
id: 36746459
{'hecke_orbit_code': 13511211232527065, 'n': 59, 'trace_an': 72}
-
id: 36746460
{'hecke_orbit_code': 13511211232527065, 'n': 60, 'trace_an': 0}
-
id: 36746461
{'hecke_orbit_code': 13511211232527065, 'n': 61, 'trace_an': 9}
-
id: 36746462
{'hecke_orbit_code': 13511211232527065, 'n': 62, 'trace_an': 81}
-
id: 36746463
{'hecke_orbit_code': 13511211232527065, 'n': 63, 'trace_an': 0}
-
id: 36746464
{'hecke_orbit_code': 13511211232527065, 'n': 64, 'trace_an': -18}
-
id: 36746465
{'hecke_orbit_code': 13511211232527065, 'n': 65, 'trace_an': -81}
-
id: 36746466
{'hecke_orbit_code': 13511211232527065, 'n': 66, 'trace_an': 0}
-
id: 36746467
{'hecke_orbit_code': 13511211232527065, 'n': 67, 'trace_an': -45}
-
id: 36746468
{'hecke_orbit_code': 13511211232527065, 'n': 68, 'trace_an': 117}
-
id: 36746469
{'hecke_orbit_code': 13511211232527065, 'n': 69, 'trace_an': 0}
-
id: 36746470
{'hecke_orbit_code': 13511211232527065, 'n': 70, 'trace_an': -99}
-
id: 36746471
{'hecke_orbit_code': 13511211232527065, 'n': 71, 'trace_an': -90}
-
id: 36746472
{'hecke_orbit_code': 13511211232527065, 'n': 72, 'trace_an': 0}
-
id: 36746473
{'hecke_orbit_code': 13511211232527065, 'n': 73, 'trace_an': -18}
-
id: 36746474
{'hecke_orbit_code': 13511211232527065, 'n': 74, 'trace_an': 81}
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id: 36746475
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