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mf_newforms • Show schema
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{'Nk2': 276, 'analytic_conductor': 0.5509677739468346, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [69, 11, [47, 28], [11, 2]], 'cm_discs': [], 'conrey_index': 4, 'dim': 20, 'field_disc': 4058285332445726217403456009, 'field_disc_factorization': [[11, 18], [27017, 2]], 'field_poly': [529, -1656, 1957, -1730, 1859, -2837, 8244, -12101, 15111, -13519, 10649, -7040, 4165, -2187, 1115, -527, 209, -70, 24, -7, 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': [[2, [529, 621, 1451, 217, 2090, 3378, 3360, -518, -3, -1463, 584, 891, 238, -130, -117, -32, 11, 18, 13, 4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202437, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 3, 1, 11, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '69.2.e.c', 'level': 69, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 23], 'level_radical': 69, 'minimal_twist': '69.2.e.c', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}+\\beta _{3}-\\beta _{4}+\\beta _{5}+2\\beta _{6}+2\\beta _{7}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '69.2.e', 'trace_display': [-4, -2, -6, -6], 'trace_hash': 1347081445420512216, 'trace_moments': 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mf_hecke_cc • Show schema
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'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202437, 'label': '69.2.e.c.4.2', 'level': 69, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 276, 'analytic_conductor': 0.5509677739468346, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [69, 11, [47, 28], [11, 2]], 'conrey_index': 4, 'cusp_dim': 60, 'dim': 40, 'eis_dim': 40, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461445, 'hecke_orbit_dims': [10, 10, 20], 'label': '69.2.e', 'level': 69, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 23], 'level_radical': 69, 'mf_dim': 100, 'mf_new_dim': 40, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 16, 'trace_bound': 2, 'trace_display': [-4, 0, -4, -8], 'traces': [40, -4, 0, -12, -4, -4, -8, -12, -4, -8, -24, 0, -8, -12, -8, 16, 10, -4, -10, 52, -4, 4, 20, -12, 16, -12, 0, 24, -10, -28, -10, -24, -8, -26, -12, 10, 4, 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mf_twists_cc • Show schema
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id: 40805629
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 4, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202437, 'target_is_minimal': True, 'target_label': '69.2.e.c.4.2', 'target_level': 69, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40805630
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 73, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480015, 'target_is_minimal': False, 'target_label': '207.2.i.d.73.1', 'target_level': 207, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40805631
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 52, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202437, 'target_is_minimal': True, 'target_label': '69.2.e.c.52.2', 'target_level': 69, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '23.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40805632
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 6, 'target_hecke_orbit_code': 85568392953595443, 'target_is_minimal': False, 'target_label': '1587.2.a.t.1.6', 'target_level': 1587, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '23.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40805633
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 6, 'target_hecke_orbit_code': 90071992580965939, 'target_is_minimal': False, 'target_label': '1587.2.a.u.1.6', 'target_level': 1587, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '23.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 40805634
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 207165582892602009, 'target_is_minimal': False, 'target_label': '4761.2.a.bu.1.5', 'target_level': 4761, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '69.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40805635
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 190, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480015, 'target_is_minimal': False, 'target_label': '207.2.i.d.190.1', 'target_level': 207, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '69.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 40805636
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007474166202437, 'source_is_minimal': True, 'source_label': '69.2.e.c.4.2', 'source_level': 69, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 202661983265231513, 'target_is_minimal': False, 'target_label': '4761.2.a.bt.1.5', 'target_level': 4761, 'twist_class_label': '69.2.e.c.4.2', 'twist_class_level': 69, 'twisting_char_label': '69.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 218850
{'charpoly_factorization': [[[529, 621, 1451, 217, 2090, 3378, 3360, -518, -3, -1463, 584, 891, 238, -130, -117, -32, 11, 18, 13, 4, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 2}
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id: 218851
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 9007474166202437, 'p': 3}
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id: 218852
{'charpoly_factorization': [[[64009, 19481, 145805, 115434, -189002, -321354, -108988, 191290, 315601, 239228, 121342, 41252, 11873, 3528, 1897, 868, 317, 84, 25, 6, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 5}
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id: 218853
{'charpoly_factorization': [[[5031049, 8855364, 17109883, 48683984, 86987141, 66450774, 30044087, 13805173, 5386991, 1645479, 874237, 217569, 61312, 23923, 5216, 1601, 475, 78, 30, 6, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 7}
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id: 218854
{'charpoly_factorization': [[[212521, -650932, 10742767, 49827015, 98337129, 115131941, 88596105, 46615032, 17526879, 5825193, 2788787, 1763355, 962288, 406647, 134524, 35190, 7359, 1240, 164, 16, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 11}
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id: 218855
{'charpoly_factorization': [[[27867841, 247305313, 687886189, 515954831, 273907480, -30965637, 114335707, -17272254, 8646260, -5805569, 3099922, -1207316, 602621, -277492, 101450, -28511, 6281, -1059, 137, -14, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 13}
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id: 218856
{'charpoly_factorization': [[[21743569, -43137413, 48476041, -7983613, -29379918, -18459463, 47446006, -12216325, 6678083, -4986542, 1649825, -703538, 302443, -82005, 27779, -7491, 2071, -473, 93, -11, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 17}
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id: 218857
{'charpoly_factorization': [[[417211354561, 1167689138605, 1682292045723, 1433687867084, 811387501395, 329174049314, 110527289603, 34913262439, 9456358850, 2081466519, 460920780, 85076937, 13167971, 2017598, 261853, 27082, 3701, 506, 70, 11, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 19}
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id: 218858
{'charpoly_factorization': [[[41426511213649, 0, 5246836013827, -299624639336, 413760309755, -44887056082, 26707185517, -3174345966, 1552323521, -157655432, 74911893, -6854584, 2934449, -260898, 95437, -6974, 2795, -88, 67, 0, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 23}
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id: 218859
{'charpoly_factorization': [[[3983644752649, 973224212270, 94251604200, -792189719668, 330488683877, 10384382832, -3619091775, -16373509081, 756055141, 1921283221, 544882757, -3333165, 10019154, 2168676, -226104, 35694, 6809, -1113, 216, -12, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 29}
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id: 218860
{'charpoly_factorization': [[[811602438117769, -1846497616518784, 1872887881219736, -1027486171939647, 398774487936204, -124579680707311, 32891050772434, -7604737856759, 1591921061317, -306024162026, 54208195317, -8840598096, 1311579404, -173686914, 20316350, -2098762, 190758, -14843, 926, -41, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 31}
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id: 218861
{'charpoly_factorization': [[[185232969769, -1756398156938, 6635693247222, -10304387023177, 3386245214811, 2892061876742, 2846110565799, 577450156873, 278618953746, 41382636537, 6033509472, 542204146, 74590506, 15460427, 2837236, 400439, 43139, 3657, 292, 18, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 37}
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id: 218862
{'charpoly_factorization': [[[664350515929, 2151543270437, 4435405724115, -6206735687405, 3150551989121, -234814713430, 215580808888, 92520558658, 9197553644, 1155635140, 519465937, 32715188, -9777127, -1290751, 110878, -4367, 302, 517, 92, 0, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 41}
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id: 218863
{'charpoly_factorization': [[[131462437009849, 120467936170428, 18987329537704, -5740979127169, 2442809848182, 1729517040119, 324877483029, 68880571485, 37909003957, 6012378658, 2865540668, 473110703, 89091641, 14115991, 1983873, 227303, 24036, 2452, 177, 10, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 43}
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id: 218864
{'charpoly_factorization': [[[87731039, -27995385, -11778349, 4905780, 149039, -213863, 12852, 2715, -247, -9, 1], 2]], 'hecke_orbit_code': 9007474166202437, 'p': 47}
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id: 218865
{'charpoly_factorization': [[[828516832441, 3909806748890, 7076214821723, 6594580754285, 4338128713385, 1727068326175, 515773867396, 95130368281, 15318461849, 1429790440, 622787253, 205009333, 48359617, 7779456, 676012, 23028, 1688, 887, 223, 20, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 53}
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id: 218866
{'charpoly_factorization': [[[57652331881, 110161048764, 100084329616, 39625142487, -19391688439, -9931944327, 10066551886, -6008254903, 2964084876, -1527150108, 876983064, -425624815, 155331218, -42110293, 8589677, -1325866, 155225, -13657, 890, -40, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 59}
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id: 218867
{'charpoly_factorization': [[[559921052347801, -1154348449468164, 806981863275915, 93863827675685, 29344336060767, 7585345272390, 529202840696, 303497378875, 84966227190, 9039355534, 3011670982, 417125302, 116294128, 3462423, 2094924, 138814, 15773, 2164, 109, 12, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 61}
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id: 218868
{'charpoly_factorization': [[[2647129, 36552182, 543359398, 2137736189, 9600272213, 1489358731, 13698171880, 2426760132, 2964727742, 1419485936, 89799821, 68751518, 59010099, 9921221, -410514, -141969, 34648, 9805, 964, 47, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 67}
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id: 218869
{'charpoly_factorization': [[[1821721454093641, -1830722241380419, 1003139847880820, -635636305555544, -39960729406213, 93890000504563, 97337704577511, 38923383044875, 8229807343325, 1341037196455, 261345406642, 52566087761, 8362735895, 1012547564, 97178716, 7539597, 489049, 27162, 1303, 47, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 71}
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id: 218870
{'charpoly_factorization': [[[11485321, 2251624488, 154361335484, -371749127445, 718578720842, -777433596759, 912350474910, -569941735282, 306014278123, -90102650635, 21939058383, -4000778448, 487575760, -24817062, -3522575, 777188, -44024, -2979, 621, -39, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 73}
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id: 218871
{'charpoly_factorization': [[[39874302504589081, 26488514204354931, 3459956022868490, 2061148260614538, 2138876125691477, 622929500570041, 151916833707022, 28462467861757, 4667502220967, 619902055003, 76119563884, 7995477853, 751866713, 60789653, 4775460, 268912, 17045, 1692, 51, 2, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 79}
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id: 218872
{'charpoly_factorization': [[[798327809318302561, 126906732472212559, 33681219145998552, -16361144210713322, 8994641235973971, 1991863161501339, 1046744052678420, 199525685414329, 46388868610077, 7949630245051, 1064505795266, 144298142417, 15684694589, 1218619319, 87684090, 6651486, 425641, 23016, 1245, 52, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 83}
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id: 218873
{'charpoly_factorization': [[[586753729, -494875890, 4463167167, -8242699772, 6362643694, -10827229018, 14322007318, -5606741159, 728466628, -73857124, 277723469, -98074647, 7431698, 3070235, 1182503, -376179, 71445, -8447, 668, -36, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 89}
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id: 218874
{'charpoly_factorization': [[[48681166341721, 30168220977004, 62978375011036, 23690798477368, 25944095157652, 6113719304440, 6037836503997, 667484775056, 543036804344, -104195023306, 46007430195, 4849489238, -790087143, -90565552, 9911969, 595837, -47959, -1419, 12, 0, 1], 1]], 'hecke_orbit_code': 9007474166202437, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '69.2.e.c', 'level': 69, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30423853
{'hecke_orbit_code': 9007474166202437, 'n': 1, 'trace_an': 20}
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id: 30423854
{'hecke_orbit_code': 9007474166202437, 'n': 2, 'trace_an': -4}
-
id: 30423855
{'hecke_orbit_code': 9007474166202437, 'n': 3, 'trace_an': -2}
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id: 30423856
{'hecke_orbit_code': 9007474166202437, 'n': 4, 'trace_an': -6}
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id: 30423857
{'hecke_orbit_code': 9007474166202437, 'n': 5, 'trace_an': -6}
-
id: 30423858
{'hecke_orbit_code': 9007474166202437, 'n': 6, 'trace_an': 7}
-
id: 30423859
{'hecke_orbit_code': 9007474166202437, 'n': 7, 'trace_an': -6}
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id: 30423860
{'hecke_orbit_code': 9007474166202437, 'n': 8, 'trace_an': 10}
-
id: 30423861
{'hecke_orbit_code': 9007474166202437, 'n': 9, 'trace_an': -2}
-
id: 30423862
{'hecke_orbit_code': 9007474166202437, 'n': 10, 'trace_an': -18}
-
id: 30423863
{'hecke_orbit_code': 9007474166202437, 'n': 11, 'trace_an': -16}
-
id: 30423864
{'hecke_orbit_code': 9007474166202437, 'n': 12, 'trace_an': -6}
-
id: 30423865
{'hecke_orbit_code': 9007474166202437, 'n': 13, 'trace_an': 14}
-
id: 30423866
{'hecke_orbit_code': 9007474166202437, 'n': 14, 'trace_an': -22}
-
id: 30423867
{'hecke_orbit_code': 9007474166202437, 'n': 15, 'trace_an': 5}
-
id: 30423868
{'hecke_orbit_code': 9007474166202437, 'n': 16, 'trace_an': -8}
-
id: 30423869
{'hecke_orbit_code': 9007474166202437, 'n': 17, 'trace_an': 11}
-
id: 30423870
{'hecke_orbit_code': 9007474166202437, 'n': 18, 'trace_an': -4}
-
id: 30423871
{'hecke_orbit_code': 9007474166202437, 'n': 19, 'trace_an': -11}
-
id: 30423872
{'hecke_orbit_code': 9007474166202437, 'n': 20, 'trace_an': 57}
-
id: 30423873
{'hecke_orbit_code': 9007474166202437, 'n': 21, 'trace_an': -6}
-
id: 30423874
{'hecke_orbit_code': 9007474166202437, 'n': 22, 'trace_an': 26}
-
id: 30423875
{'hecke_orbit_code': 9007474166202437, 'n': 23, 'trace_an': 0}
-
id: 30423876
{'hecke_orbit_code': 9007474166202437, 'n': 24, 'trace_an': -12}
-
id: 30423877
{'hecke_orbit_code': 9007474166202437, 'n': 25, 'trace_an': -4}
-
id: 30423878
{'hecke_orbit_code': 9007474166202437, 'n': 26, 'trace_an': -14}
-
id: 30423879
{'hecke_orbit_code': 9007474166202437, 'n': 27, 'trace_an': -2}
-
id: 30423880
{'hecke_orbit_code': 9007474166202437, 'n': 28, 'trace_an': -14}
-
id: 30423881
{'hecke_orbit_code': 9007474166202437, 'n': 29, 'trace_an': 12}
-
id: 30423882
{'hecke_orbit_code': 9007474166202437, 'n': 30, 'trace_an': -18}
-
id: 30423883
{'hecke_orbit_code': 9007474166202437, 'n': 31, 'trace_an': 41}
-
id: 30423884
{'hecke_orbit_code': 9007474166202437, 'n': 32, 'trace_an': -46}
-
id: 30423885
{'hecke_orbit_code': 9007474166202437, 'n': 33, 'trace_an': -5}
-
id: 30423886
{'hecke_orbit_code': 9007474166202437, 'n': 34, 'trace_an': -3}
-
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id: 30424110
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