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mf_newforms • Show schema
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{'Nk2': 828, 'analytic_conductor': 1.652903321840504, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 11, 'char_parity': 1, 'char_values': [207, 11, [47, 28], [11, 5]], 'cm_discs': [], 'conrey_index': 55, 'conrey_indexes': [55, 64, 73, 82, 100, 118, 127, 154, 163, 190], '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': 4, 'hecke_orbit_code': 13511348671480015, 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mf_hecke_cc • Show schema
Hide schema
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-0.20077829080225557, -0.31357478642184783, -0.32422444232275316, -0.11987903631947742, -0.4734768225423393, -0.11594299095039104, -0.1742979861381645, -0.3979214477334084, -0.4586326098745637, -0.39164708997070036, 0.2140631001003456], 'char_orbit_index': 9, 'conrey_index': 100, 'dual_conrey_index': 118, 'dual_embedding_index': 2, 'dual_embedding_m': 12, 'embedding_index': 2, 'embedding_m': 10, 'embedding_root_imag': 2.0413846267013525, 'embedding_root_real': -0.9322691215500691, 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480015, 'label': '207.2.i.d.100.2', 'level': 207, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 828, 'analytic_conductor': 1.652903321840504, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 11, 'char_parity': 1, 'char_values': [207, 11, [47, 28], [11, 5]], 'conrey_index': 55, 'cusp_dim': 200, 'dim': 90, 'eis_dim': 80, 'eis_new_dim': 20, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789368527, 'hecke_orbit_dims': [10, 10, 10, 20, 40], 'label': '207.2.i', 'level': 207, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 23], 'level_radical': 69, 'mf_dim': 280, 'mf_new_dim': 110, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 9, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [11, 0, 7, -5], 'traces': [90, 11, 0, -19, 7, 0, -5, 8, 0, -7, 17, 0, -11, 3, 0, -39, 0, 0, -22, -43, 0, -30, -8, 0, -36, 0, 0, -33, -4, 0, -22, 3, 0, -7, 5, 0, 37, -50, 0, -51, -11, 0, 45, -16, 0, 75, -30, 0, -66, -62, 0, 96, 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-207, 0, 94, -261, 0, -419, -5, 0, 949, 53, 0, 135, 180, 0, 632, -19, 0, 691, 22, 0, 284, 113, 0, -307, 657, 0, 244, 114, 0, 279, 304, 0, -723], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43355818
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 100, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671480015, 'target_is_minimal': False, 'target_label': '207.2.i.d.100.2', 'target_level': 207, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43355819
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 31, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202437, 'target_is_minimal': True, 'target_label': '69.2.e.c.31.1', 'target_level': 69, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43355820
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 118, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671480015, 'target_is_minimal': False, 'target_label': '207.2.i.d.118.2', 'target_level': 207, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '23.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43355821
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 207165582892602009, 'target_is_minimal': False, 'target_label': '4761.2.a.bu.1.4', 'target_level': 4761, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '23.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43355822
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 202661983265231513, 'target_is_minimal': False, 'target_label': '4761.2.a.bt.1.4', 'target_level': 4761, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '23.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 43355823
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 49, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202437, 'target_is_minimal': True, 'target_label': '69.2.e.c.49.1', 'target_level': 69, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '69.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 43355824
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 85568392953595443, 'target_is_minimal': False, 'target_label': '1587.2.a.t.1.7', 'target_level': 1587, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '69.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 43355825
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 100, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480015, 'source_is_minimal': False, 'source_label': '207.2.i.d.100.2', 'source_level': 207, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 90071992580965939, 'target_is_minimal': False, 'target_label': '1587.2.a.u.1.7', 'target_level': 1587, 'twist_class_label': '69.2.e.c.31.1', 'twist_class_level': 69, 'twisting_char_label': '69.62', 'twisting_conrey_index': 62, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 510075
{'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': 13511348671480015, 'p': 2}
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id: 510076
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 13511348671480015, 'p': 3}
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id: 510077
{'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': 13511348671480015, 'p': 5}
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id: 510078
{'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': 13511348671480015, 'p': 7}
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id: 510079
{'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': 13511348671480015, 'p': 11}
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id: 510080
{'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': 13511348671480015, 'p': 13}
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id: 510081
{'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': 13511348671480015, 'p': 17}
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id: 510082
{'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': 13511348671480015, 'p': 19}
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id: 510083
{'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': 13511348671480015, 'p': 23}
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id: 510084
{'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': 13511348671480015, 'p': 29}
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id: 510085
{'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': 13511348671480015, 'p': 31}
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id: 510086
{'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': 13511348671480015, 'p': 37}
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id: 510087
{'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': 13511348671480015, 'p': 41}
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id: 510088
{'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': 13511348671480015, 'p': 43}
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id: 510089
{'charpoly_factorization': [[[87731039, 27995385, -11778349, -4905780, 149039, 213863, 12852, -2715, -247, 9, 1], 2]], 'hecke_orbit_code': 13511348671480015, 'p': 47}
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id: 510090
{'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': 13511348671480015, 'p': 53}
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id: 510091
{'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': 13511348671480015, 'p': 59}
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id: 510092
{'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': 13511348671480015, 'p': 61}
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id: 510093
{'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': 13511348671480015, 'p': 67}
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id: 510094
{'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': 13511348671480015, 'p': 71}
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id: 510095
{'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': 13511348671480015, 'p': 73}
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id: 510096
{'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': 13511348671480015, 'p': 79}
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id: 510097
{'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': 13511348671480015, 'p': 83}
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id: 510098
{'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': 13511348671480015, 'p': 89}
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id: 510099
{'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': 13511348671480015, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '207.2.i.d', 'level': 207, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 143215000
{'hecke_orbit_code': 13511348671480015, 'n': 1, 'trace_an': 20}
-
id: 143215001
{'hecke_orbit_code': 13511348671480015, 'n': 2, 'trace_an': 4}
-
id: 143215002
{'hecke_orbit_code': 13511348671480015, 'n': 3, 'trace_an': 0}
-
id: 143215003
{'hecke_orbit_code': 13511348671480015, 'n': 4, 'trace_an': -6}
-
id: 143215004
{'hecke_orbit_code': 13511348671480015, 'n': 5, 'trace_an': 6}
-
id: 143215005
{'hecke_orbit_code': 13511348671480015, 'n': 6, 'trace_an': 0}
-
id: 143215006
{'hecke_orbit_code': 13511348671480015, 'n': 7, 'trace_an': -6}
-
id: 143215007
{'hecke_orbit_code': 13511348671480015, 'n': 8, 'trace_an': -10}
-
id: 143215008
{'hecke_orbit_code': 13511348671480015, 'n': 9, 'trace_an': 0}
-
id: 143215009
{'hecke_orbit_code': 13511348671480015, 'n': 10, 'trace_an': -18}
-
id: 143215010
{'hecke_orbit_code': 13511348671480015, 'n': 11, 'trace_an': 16}
-
id: 143215011
{'hecke_orbit_code': 13511348671480015, 'n': 12, 'trace_an': 0}
-
id: 143215012
{'hecke_orbit_code': 13511348671480015, 'n': 13, 'trace_an': 14}
-
id: 143215013
{'hecke_orbit_code': 13511348671480015, 'n': 14, 'trace_an': 22}
-
id: 143215014
{'hecke_orbit_code': 13511348671480015, 'n': 15, 'trace_an': 0}
-
id: 143215015
{'hecke_orbit_code': 13511348671480015, 'n': 16, 'trace_an': -8}
-
id: 143215016
{'hecke_orbit_code': 13511348671480015, 'n': 17, 'trace_an': -11}
-
id: 143215017
{'hecke_orbit_code': 13511348671480015, 'n': 18, 'trace_an': 0}
-
id: 143215018
{'hecke_orbit_code': 13511348671480015, 'n': 19, 'trace_an': -11}
-
id: 143215019
{'hecke_orbit_code': 13511348671480015, 'n': 20, 'trace_an': -57}
-
id: 143215020
{'hecke_orbit_code': 13511348671480015, 'n': 21, 'trace_an': 0}
-
id: 143215021
{'hecke_orbit_code': 13511348671480015, 'n': 22, 'trace_an': 26}
-
id: 143215022
{'hecke_orbit_code': 13511348671480015, 'n': 23, 'trace_an': 0}
-
id: 143215023
{'hecke_orbit_code': 13511348671480015, 'n': 24, 'trace_an': 0}
-
id: 143215024
{'hecke_orbit_code': 13511348671480015, 'n': 25, 'trace_an': -4}
-
id: 143215025
{'hecke_orbit_code': 13511348671480015, 'n': 26, 'trace_an': 14}
-
id: 143215026
{'hecke_orbit_code': 13511348671480015, 'n': 27, 'trace_an': 0}
-
id: 143215027
{'hecke_orbit_code': 13511348671480015, 'n': 28, 'trace_an': -14}
-
id: 143215028
{'hecke_orbit_code': 13511348671480015, 'n': 29, 'trace_an': -12}
-
id: 143215029
{'hecke_orbit_code': 13511348671480015, 'n': 30, 'trace_an': 0}
-
id: 143215030
{'hecke_orbit_code': 13511348671480015, 'n': 31, 'trace_an': 41}
-
id: 143215031
{'hecke_orbit_code': 13511348671480015, 'n': 32, 'trace_an': 46}
-
id: 143215032
{'hecke_orbit_code': 13511348671480015, 'n': 33, 'trace_an': 0}
-
id: 143215033
{'hecke_orbit_code': 13511348671480015, 'n': 34, 'trace_an': -3}
-
id: 143215034
{'hecke_orbit_code': 13511348671480015, 'n': 35, 'trace_an': 26}
-
id: 143215035
{'hecke_orbit_code': 13511348671480015, 'n': 36, 'trace_an': 0}
-
id: 143215036
{'hecke_orbit_code': 13511348671480015, 'n': 37, 'trace_an': -18}
-
id: 143215037
{'hecke_orbit_code': 13511348671480015, 'n': 38, 'trace_an': -70}
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