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mf_newforms • Show schema
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{'Nk2': 1368, 'analytic_conductor': 2.730883749127789, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [342, 3, [191, 325], [2, 3]], 'cm_discs': [], 'conrey_index': 115, 'conrey_indexes': [115, 229], 'dim': 12, 'field_disc': 12558010181750784, 'field_disc_factorization': [[2, 12], [3, 8], [21617, 2]], 'field_poly': [1, 2, 13, -18, 73, -32, 70, -2, 55, 0, 8, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [23104, -14592, 43872, 19456, 48192, 3936, 6600, 336, 672, 16, 30, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202710, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '342.2.e.c', 'level': 342, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '342.2.e.c', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{6})q^{2}+\\beta _{10}q^{3}-\\beta _{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '342.2.e', 'trace_display': [-6, 2, 0, -6], 'trace_hash': 1436880493693783561, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.217', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '520.169', 'prec': 24}, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 1368, 'analytic_conductor': 2.730883749127789, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [342, 3, [191, 325], [2, 3]], 'conrey_index': 115, 'cusp_dim': 112, 'dim': 36, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461718, 'hecke_orbit_dims': [6, 6, 12, 12], 'label': '342.2.e', 'level': 342, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 128, 'mf_new_dim': 36, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 18, 'sturm_bound': 120, 'trace_bound': 2, 'trace_display': [0, 4, 0, 0], 'traces': [36, 0, 4, -18, 0, -8, 0, 0, -8, 0, -4, 4, 0, -4, 4, -18, -16, 8, 0, 0, 12, 0, -4, 4, -30, -8, 16, 0, 12, -20, -12, 0, -4, 0, 48, -8, 24, 6, -42, 0, 20, 26, 0, 8, 20, 24, -10, -8, -30, 0, 4, 0, -56, -8, 0, 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mf_twists_cc • Show schema
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id: 40811819
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 229, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202710, 'source_is_minimal': True, 'source_label': '342.2.e.c.229.3', 'source_level': 342, 'target_conrey_index': 229, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202710, 'target_is_minimal': True, 'target_label': '342.2.e.c.229.3', 'target_level': 342, 'twist_class_label': '342.2.e.c.115.3', 'twist_class_level': 342, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40811820
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 229, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202710, 'source_is_minimal': True, 'source_label': '342.2.e.c.229.3', 'source_level': 342, 'target_conrey_index': 685, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573890, 'target_is_minimal': False, 'target_label': '1026.2.e.d.685.4', 'target_level': 1026, 'twist_class_label': '342.2.e.c.115.3', 'twist_class_level': 342, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40811821
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 229, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202710, 'source_is_minimal': True, 'source_label': '342.2.e.c.229.3', 'source_level': 342, 'target_conrey_index': 343, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511073793573890, 'target_is_minimal': False, 'target_label': '1026.2.e.d.343.4', 'target_level': 1026, 'twist_class_label': '342.2.e.c.115.3', 'twist_class_level': 342, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40811822
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 229, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202710, 'source_is_minimal': True, 'source_label': '342.2.e.c.229.3', 'source_level': 342, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103582791463078918, 'target_is_minimal': False, 'target_label': '3078.2.a.x.1.4', 'target_level': 3078, 'twist_class_label': '342.2.e.c.115.3', 'twist_class_level': 342, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40811823
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 229, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202710, 'source_is_minimal': True, 'source_label': '342.2.e.c.229.3', 'source_level': 342, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575592208337926, 'target_is_minimal': False, 'target_label': '3078.2.a.v.1.3', 'target_level': 3078, 'twist_class_label': '342.2.e.c.115.3', 'twist_class_level': 342, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40811824
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 229, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202710, 'source_is_minimal': True, 'source_label': '342.2.e.c.229.3', 'source_level': 342, 'target_conrey_index': 115, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202710, 'target_is_minimal': True, 'target_label': '342.2.e.c.115.3', 'target_level': 342, 'twist_class_label': '342.2.e.c.115.3', 'twist_class_level': 342, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 741950
{'charpoly_factorization': [[[1, 1, 1], 6]], 'hecke_orbit_code': 9007474166202710, 'p': 2}
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id: 741951
{'charpoly_factorization': [[[729, -486, 0, -54, -72, 54, 15, 18, -8, -2, 0, -2, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 3}
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id: 741952
{'charpoly_factorization': [[[23104, -14592, 43872, 19456, 48192, 3936, 6600, 336, 672, 16, 30, 0, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 5}
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id: 741953
{'charpoly_factorization': [[[729, 8748, 105867, -4860, 36405, 11502, 9378, 2016, 825, 144, 48, 6, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 7}
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id: 741954
{'charpoly_factorization': [[[760384, -376704, 427296, -83072, 105360, -16512, 15744, -96, 996, 88, 60, 6, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 11}
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id: 741955
{'charpoly_factorization': [[[19035769, 17068056, 13903221, 4048072, 1564305, 299010, 103062, 15420, 3903, 352, 84, 6, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 13}
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id: 741956
{'charpoly_factorization': [[[405, 918, 549, -18, -66, 0, 1], 2]], 'hecke_orbit_code': 9007474166202710, 'p': 17}
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id: 741957
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 9007474166202710, 'p': 19}
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id: 741958
{'charpoly_factorization': [[[66049, 558204, 4280427, 3490000, 2030487, 699978, 194160, 36264, 6513, 868, 138, 12, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 23}
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id: 741959
{'charpoly_factorization': [[[72361, 40350, 84639, 27758, 62691, 19410, 18948, -858, 1365, -52, 66, -6, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 29}
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id: 741960
{'charpoly_factorization': [[[202094656, -153191616, 145805184, 4644992, 9677040, 801744, 514272, 49776, 12084, 644, 138, 6, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 31}
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id: 741961
{'charpoly_factorization': [[[-90329, -15702, 5967, 628, -135, -6, 1], 2]], 'hecke_orbit_code': 9007474166202710, 'p': 37}
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id: 741962
{'charpoly_factorization': [[[1600, -7680, 34944, -23296, 37296, -3312, 31344, -4896, 1908, -172, 66, -6, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 41}
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id: 741963
{'charpoly_factorization': [[[72863296, 46913856, 42088128, 8397248, 7667280, 2136384, 742848, 100944, 17028, 1088, 210, 12, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 43}
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id: 741964
{'charpoly_factorization': [[[2953161649, 1953413478, 1052625315, 268838998, 64583322, 7279374, 1625979, 144606, 26970, 1078, 195, 6, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 47}
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id: 741965
{'charpoly_factorization': [[[1927, 5112, -1791, -664, 36, 18, 1], 2]], 'hecke_orbit_code': 9007474166202710, 'p': 53}
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id: 741966
{'charpoly_factorization': [[[20331081, -21589092, 41659839, 5880168, 25110387, -7372818, 1992528, -244368, 30903, -2028, 234, -12, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 59}
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id: 741967
{'charpoly_factorization': [[[4494400, -7988160, 12213504, -6359168, 3329520, 825888, 368688, 46272, 9852, 976, 174, 12, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 61}
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id: 741968
{'charpoly_factorization': [[[275017385241, 60602090760, 17817460731, 2477647440, 507276063, 61100118, 8990640, 758556, 78315, 4764, 426, 18, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 67}
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id: 741969
{'charpoly_factorization': [[[-50840, -20688, 1992, 1232, -30, -18, 1], 2]], 'hecke_orbit_code': 9007474166202710, 'p': 71}
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id: 741970
{'charpoly_factorization': [[[-59967, 76878, -24927, 2622, 54, -24, 1], 2]], 'hecke_orbit_code': 9007474166202710, 'p': 73}
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id: 741971
{'charpoly_factorization': [[[1126273600, -1608463680, 2159765664, -411710816, 165856560, 26342688, 8797872, 657768, 82644, 3832, 468, 18, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 79}
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id: 741972
{'charpoly_factorization': [[[10497600, -4898880, 4618944, -1010880, 988848, -254016, 97632, -16848, 4644, -720, 138, -12, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 83}
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id: 741973
{'charpoly_factorization': [[[-5400, -2088, 1632, 252, -102, -6, 1], 2]], 'hecke_orbit_code': 9007474166202710, 'p': 89}
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id: 741974
{'charpoly_factorization': [[[5833925283904, -2222394359424, 773710769184, -67168201984, 9400729488, -548139648, 67102464, -3161280, 283092, -8968, 732, -18, 1], 1]], 'hecke_orbit_code': 9007474166202710, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '342.2.e.c', 'level': 342, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 117992000
{'hecke_orbit_code': 9007474166202710, 'n': 1, 'trace_an': 12}
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id: 117992001
{'hecke_orbit_code': 9007474166202710, 'n': 2, 'trace_an': -6}
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id: 117992002
{'hecke_orbit_code': 9007474166202710, 'n': 3, 'trace_an': 2}
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id: 117992003
{'hecke_orbit_code': 9007474166202710, 'n': 4, 'trace_an': -6}
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id: 117992004
{'hecke_orbit_code': 9007474166202710, 'n': 5, 'trace_an': 0}
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id: 117992005
{'hecke_orbit_code': 9007474166202710, 'n': 6, 'trace_an': -4}
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id: 117992006
{'hecke_orbit_code': 9007474166202710, 'n': 7, 'trace_an': -6}
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id: 117992007
{'hecke_orbit_code': 9007474166202710, 'n': 8, 'trace_an': 12}
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id: 117992008
{'hecke_orbit_code': 9007474166202710, 'n': 9, 'trace_an': 4}
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id: 117992009
{'hecke_orbit_code': 9007474166202710, 'n': 10, 'trace_an': 0}
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id: 117992010
{'hecke_orbit_code': 9007474166202710, 'n': 11, 'trace_an': -6}
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id: 117992011
{'hecke_orbit_code': 9007474166202710, 'n': 12, 'trace_an': 2}
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id: 117992012
{'hecke_orbit_code': 9007474166202710, 'n': 13, 'trace_an': -6}
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id: 117992013
{'hecke_orbit_code': 9007474166202710, 'n': 14, 'trace_an': -6}
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id: 117992014
{'hecke_orbit_code': 9007474166202710, 'n': 15, 'trace_an': 10}
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id: 117992015
{'hecke_orbit_code': 9007474166202710, 'n': 16, 'trace_an': -6}
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id: 117992016
{'hecke_orbit_code': 9007474166202710, 'n': 17, 'trace_an': 0}
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id: 117992017
{'hecke_orbit_code': 9007474166202710, 'n': 18, 'trace_an': 4}
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id: 117992018
{'hecke_orbit_code': 9007474166202710, 'n': 19, 'trace_an': -12}
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id: 117992019
{'hecke_orbit_code': 9007474166202710, 'n': 20, 'trace_an': 0}
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id: 117992020
{'hecke_orbit_code': 9007474166202710, 'n': 21, 'trace_an': -18}
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id: 117992021
{'hecke_orbit_code': 9007474166202710, 'n': 22, 'trace_an': -6}
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id: 117992022
{'hecke_orbit_code': 9007474166202710, 'n': 23, 'trace_an': -12}
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id: 117992023
{'hecke_orbit_code': 9007474166202710, 'n': 24, 'trace_an': 2}
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id: 117992024
{'hecke_orbit_code': 9007474166202710, 'n': 25, 'trace_an': -30}
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id: 117992025
{'hecke_orbit_code': 9007474166202710, 'n': 26, 'trace_an': 12}
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id: 117992026
{'hecke_orbit_code': 9007474166202710, 'n': 27, 'trace_an': 14}
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id: 117992027
{'hecke_orbit_code': 9007474166202710, 'n': 28, 'trace_an': 12}
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id: 117992028
{'hecke_orbit_code': 9007474166202710, 'n': 29, 'trace_an': 6}
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id: 117992029
{'hecke_orbit_code': 9007474166202710, 'n': 30, 'trace_an': -20}
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id: 117992030
{'hecke_orbit_code': 9007474166202710, 'n': 31, 'trace_an': -6}
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id: 117992031
{'hecke_orbit_code': 9007474166202710, 'n': 32, 'trace_an': -6}
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id: 117992032
{'hecke_orbit_code': 9007474166202710, 'n': 33, 'trace_an': 22}
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id: 117992033
{'hecke_orbit_code': 9007474166202710, 'n': 34, 'trace_an': 0}
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id: 117992034
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