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{'Nk2': 24892, 'analytic_conductor': 49.69090517784278, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [127, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6223, 1, [5589, 638], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 16, 'field_disc': 121285089675762329140300815257, 'field_disc_factorization': [[19, 1], [47, 2], [3659, 1], [187111, 1], [4220815488235183, 1]], 'field_poly': [1, 1, -83, -280, 474, 1279, -1150, -1655, 1177, 957, -593, -275, 155, 38, -20, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -1, -83, 280, 474, -1279, -1150, 1655, 1177, -957, -593, 275, 155, -38, -20, 2, 1]], [3, [-16, 368, 2392, -5098, -4525, 10815, 2617, -9547, -32, 4206, -486, -950, 175, 102, -23, -4, 1]], [5, [16, -184, 92, 3406, -4663, -13233, 18066, 12824, -21504, 223, 7523, -2135, -532, 273, -7, -9, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307265615, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6223.2.a.k', 'level': 6223, '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': False, 'level_primes': [7, 127], 'level_radical': 889, 'minimal_twist': '889.2.a.c', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-\\beta _{10}q^{3}+(1+\\beta _{2})q^{4}+(1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6223.2.a', 'trace_display': [-2, 4, 9, 0], 'trace_hash': 2079845231452780098, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.103', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.416', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.895', 'prec': 17}, {'__RealLiteral__': 0, 'data': '571.027', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '41904.832', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [16, -2, 4, 12, 9, 12, 0, -6, 14, 2, -22, 10, 4, 0, -14, 12, 18, -5, 15, 40, 0, -11, -5, 26, 15, 24, 10, 0, -12, 3, 32, -9, 10, 14, 0, 10, -2, -3, -41, 14, 45, 0, -3, -54, 22, 0, 49, -10, 0, -6, -12, -38, 16, 67, -7, 0, 8, 16, 35, 56, 11, -17, 0, -2, 14, -86, 17, 71, 17, 0, -81, 13, 15, 13, 48, -14, 0, -10, -34, 33, 40, 14, 39, 0, -17, 36, -7, 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-0.35229226013163556, -0.3886018686746687, -0.19018298709918863, -0.2148473233074663, -0.23590867883955477, -0.297053996077802, -0.2965222417204911, -0.20889584997247002, -0.26228235455170973, -0.15603369624329058, -0.19200773535077534, -0.20600551038005394, -0.2395214909908281, -0.33352515489604495], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 16, 'dual_embedding_m': 16, 'embedding_index': 16, 'embedding_m': 16, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.575405394411501, 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307265615, 'label': '6223.2.a.k.1.16', 'level': 6223, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [96, 116, 117, 102], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4], 'ALdims_old': [42, 41, 40, 35], 'Nk2': 24892, 'analytic_conductor': 49.69090517784278, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6223, 1, [5589, 638], [1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 431, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 5], 'hecke_orbit_code': 33560655, 'hecke_orbit_dims': [1, 1, 2, 2, 3, 4, 4, 7, 12, 15, 16, 20, 26, 34, 38, 38, 40, 40, 54, 74], 'label': '6223.2.a', 'level': 6223, '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': False, 'level_primes': [7, 127], 'level_radical': 889, 'mf_dim': 604, 'mf_new_dim': 431, 'num_forms': 20, 'plus_dim': 198, 'prim_orbit_index': 1, 'relative_dim': 431, 'sturm_bound': 1194, 'trace_bound': 5, 'trace_display': [2, 4, 4, 0], 'traces': [431, 2, 4, 436, 4, 6, 0, 0, 437, 4, 0, 4, 6, 0, 10, 446, 4, 6, 10, 28, 0, -6, -2, 10, 441, -4, 16, 0, 2, -2, 16, -3, 10, 33, 0, 440, 16, -25, -28, 20, 20, 0, -18, -3, 22, -14, -10, 34, 0, 34, -42, -29, 26, 12, -6, 0, -6, 10, -4, -8, 10, -23, 0, 424, 42, -62, -8, 22, -8, 0, -22, 10, 30, 17, 64, 36, 0, -4, 10, 28, 463, -40, 6, 0, -2, 0, 0, -61, 26, 4, 0, -34, -48, -54, -28, -26, 54, 0, 66, 398, 6, -20, -26, 45, 0, -18, 44, 86, -10, 14, 14, 0, 22, 98, 14, -32, 14, -24, 0, -98, 425, -19, 36, 62, -24, 0, 5, 24, 26, 22, -56, 32, 0, 56, 36, 124, 98, 18, -8, 0, 42, -57, -8, 456, 24, -24, 0, 16, -62, 40, -36, -60, 26, 0, 64, -268, -20, -30, -46, 60, 0, -36, -32, 25, -106, 92, -40, 0, 433, -144, 44, -72, -72, 54, 0, -68, 24, -22, 26, 94, 28, 0, 16, 174, 46, -28, -86, -33, 0, 30, 32, -50, -14, 2, -44, 0, 40, 16, 14, -14, 100, -6, 0, 98, -20, -46, 8, -82, 10, 0, -6, 56, -92, 59, -52, -18, 0, 60, -132, 14, 42, 10, 0, 0, 557, 122, 70, 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-260, 60, -16, 256, -213, 14, 0, -36, -144, -56, 402, 164, 88, 0, -170, -490, 254, -10, -154, 60, 0, 270, -175, 160, 203, 134, -122, 0, 586, 132, -112, 194, -332, 86, 0, -84, 90, 72, 640, -58, -39, 0, 263, 154, 12, -144, 298, 108, 0, -286, 276, 62, 194, -38, 128, 0, 318, -136, 516, -96, 98, 414, 0, 152, 719, -302, -356, 140, 246, 0, 112, 140, 158, 610, 227, 138, 0, -98, -328, -172, -376, 70, -216, 0, -98, 78, -266, 58, 157, 60, 0, 216, -94, -222, 248, -14, -360, 0, 470, 369, 405, -390, 256, 106, 0, 314, 420, 148, 254, -154, 222, 0, 68, -378, 95, 162, 348, 204, 0, -134, -220, -88, -466, -180, -8, 0, 233, -42, 18, -108, -482, 58, 0, -132, 74, 216, 722, -276, 76], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47084737
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 45035996307265615, 'source_is_minimal': False, 'source_label': '6223.2.a.k.1.16', 'source_level': 6223, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 45035996307265615, 'target_is_minimal': False, 'target_label': '6223.2.a.k.1.16', 'target_level': 6223, 'twist_class_label': '889.2.a.c.1.16', 'twist_class_level': 889, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47084738
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 45035996307265615, 'source_is_minimal': False, 'source_label': '6223.2.a.k.1.16', 'source_level': 6223, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 9007199288296313, 'target_is_minimal': True, 'target_label': '889.2.a.c.1.16', 'target_level': 889, 'twist_class_label': '889.2.a.c.1.16', 'twist_class_level': 889, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47084739
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 16, 'source_hecke_orbit_code': 45035996307265615, 'source_is_minimal': False, 'source_label': '6223.2.a.k.1.16', 'source_level': 6223, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953601857, 'target_is_minimal': False, 'target_label': '8001.2.a.t.1.1', 'target_level': 8001, 'twist_class_label': '889.2.a.c.1.16', 'twist_class_level': 889, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4124500
{'charpoly_factorization': [[[1, -1, -83, 280, 474, -1279, -1150, 1655, 1177, -957, -593, 275, 155, -38, -20, 2, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 2}
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id: 4124501
{'charpoly_factorization': [[[-16, 368, 2392, -5098, -4525, 10815, 2617, -9547, -32, 4206, -486, -950, 175, 102, -23, -4, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 3}
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id: 4124502
{'charpoly_factorization': [[[16, -184, 92, 3406, -4663, -13233, 18066, 12824, -21504, 223, 7523, -2135, -532, 273, -7, -9, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 5}
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id: 4124503
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 45035996307265615, 'p': 7}
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id: 4124504
{'charpoly_factorization': [[[-417463, 3453876, -4890377, -10632471, 8580746, 9620054, -2554535, -3416018, -78450, 494092, 96093, -21231, -8710, -563, 127, 22, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 11}
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id: 4124505
{'charpoly_factorization': [[[9972315, -44456121, 68885379, -34669992, -14684252, 18716919, -1195794, -3414846, 617394, 314125, -71893, -15670, 3891, 400, -101, -4, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 13}
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id: 4124506
{'charpoly_factorization': [[[22881193, 127487708, -189027016, -165982949, 400769219, -222118551, 14328251, 27320024, -8196701, -390984, 494484, -47312, -9260, 1809, 1, -18, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 17}
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id: 4124507
{'charpoly_factorization': [[[906809, 25499416, 32453570, -33534422, -45556324, 16234226, 19332413, -4783381, -3183335, 769833, 204744, -59290, -3287, 1751, -56, -15, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 19}
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id: 4124508
{'charpoly_factorization': [[[1853701360, -748320776, -2004986780, 720099710, 727691803, -205682974, -122742602, 25351519, 10827289, -1571325, -524223, 50912, 13906, -814, -188, 5, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 23}
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id: 4124509
{'charpoly_factorization': [[[8925976496, 23320445808, 16209314744, -295371266, -3929648815, -835790244, 324777535, 113342531, -10104526, -6387491, -31205, 177735, 8524, -2378, -168, 12, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 29}
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id: 4124510
{'charpoly_factorization': [[[713813, -43245292, -36879201, 1166623988, -332307795, -428282619, 131411798, 53539080, -18108144, -2578482, 1119579, 16797, -30548, 1864, 248, -32, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 31}
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id: 4124511
{'charpoly_factorization': [[[-5726959039, 35513683307, -54649415316, -6162548967, 18948149064, -599680907, -2023401835, 91517416, 102779604, -3926772, -2819583, 75206, 42522, -650, -328, 2, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 37}
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id: 4124512
{'charpoly_factorization': [[[19825104281, -66630794266, 76024909115, -29479897342, -5523628007, 7585034668, -1692477753, -241669271, 166915016, -22266705, -1615297, 738376, -62811, -2067, 698, -45, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 41}
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id: 4124513
{'charpoly_factorization': [[[-219978965872, 223969148376, 12096314108, -73182935122, 13360158699, 7462939342, -2080833947, -319901908, 124470758, 5409270, -3609001, -6953, 52518, -522, -369, 3, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 43}
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id: 4124514
{'charpoly_factorization': [[[49063403511, -40419022167, -72572388210, 14910084996, 22445732749, -4122522034, -2706946462, 658523530, 103910175, -40586699, 780789, 856580, -92898, -1387, 788, -49, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 47}
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id: 4124515
{'charpoly_factorization': [[[114032072912, -383764785576, 385717125760, -72376451796, -72211379599, 26882054279, 3784318232, -2203921994, -26555696, 71660412, -2164870, -1058843, 51113, 6958, -400, -16, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 53}
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id: 4124516
{'charpoly_factorization': [[[-58448663216, -137797908472, 345017393284, 125110417062, -112428613345, -18710440916, 13073423507, 333908077, -577745292, 21769814, 10929012, -822205, -81931, 9459, 77, -35, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 59}
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id: 4124517
{'charpoly_factorization': [[[-123057095311, -128263909368, 698618299855, 1107711472685, 405214040969, -22323340845, -31128166128, -1699324278, 905912369, 67774300, -13951967, -927525, 122146, 5360, -557, -11, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 61}
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id: 4124518
{'charpoly_factorization': [[[15509381648, 35007259120, -46707500984, -59085181934, 6000825861, 11351514590, -207075423, -880272930, 4759078, 33866686, -510151, -668507, 21819, 6073, -301, -17, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 67}
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id: 4124519
{'charpoly_factorization': [[[120439326815165, 86909851091416, -8001665506318, -25881402447621, -9556953355470, -1089088776512, 173004023146, 66341816167, 6475793641, -251785774, -112937112, -9687622, -156864, 31055, 2524, 81, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 71}
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id: 4124520
{'charpoly_factorization': [[[-145782520397, -126181266892, 1173459269368, -866120413554, -58046867196, 161682712504, -11710717518, -8587055612, 594844521, 186687435, -12085138, -1915022, 122342, 9018, -586, -15, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 73}
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id: 4124521
{'charpoly_factorization': [[[845588972425, -100426808457141, 26292877959958, 18455256702068, -3199910499259, -1120645248693, 132365790057, 32422541979, -2335430200, -508545617, 17369948, 4389858, -23912, -19389, -292, 34, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 79}
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id: 4124522
{'charpoly_factorization': [[[-3653038864, -40796521408, -31984608144, 106004834126, -1959097315, -42205527522, 4635252383, 3822765984, -728396318, -61632483, 21893349, -696166, -173325, 13847, 103, -39, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 83}
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id: 4124523
{'charpoly_factorization': [[[10200551550832, -25509130372024, 5224541800720, 6569852274968, -2267052626127, -279092882329, 174848212292, -7358226445, -3781844514, 351277874, 29078299, -4163337, -45150, 19583, -336, -32, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 89}
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id: 4124524
{'charpoly_factorization': [[[-269740302224, -51941075160, 376551165772, 141593628910, -120348358705, -76399136638, -6119655493, 3968609010, 716406141, -59307316, -18000751, 100598, 169570, 1511, -697, -4, 1], 1]], 'hecke_orbit_code': 45035996307265615, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '6223.2.a.k', 'level': 6223, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 54705007
{'hecke_orbit_code': 45035996307265615, 'n': 1, 'trace_an': 16}
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id: 54705008
{'hecke_orbit_code': 45035996307265615, 'n': 2, 'trace_an': -2}
-
id: 54705009
{'hecke_orbit_code': 45035996307265615, 'n': 3, 'trace_an': 4}
-
id: 54705010
{'hecke_orbit_code': 45035996307265615, 'n': 4, 'trace_an': 12}
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id: 54705011
{'hecke_orbit_code': 45035996307265615, 'n': 5, 'trace_an': 9}
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id: 54705012
{'hecke_orbit_code': 45035996307265615, 'n': 6, 'trace_an': 12}
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id: 54705013
{'hecke_orbit_code': 45035996307265615, 'n': 7, 'trace_an': 0}
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id: 54705014
{'hecke_orbit_code': 45035996307265615, 'n': 8, 'trace_an': -6}
-
id: 54705015
{'hecke_orbit_code': 45035996307265615, 'n': 9, 'trace_an': 14}
-
id: 54705016
{'hecke_orbit_code': 45035996307265615, 'n': 10, 'trace_an': 2}
-
id: 54705017
{'hecke_orbit_code': 45035996307265615, 'n': 11, 'trace_an': -22}
-
id: 54705018
{'hecke_orbit_code': 45035996307265615, 'n': 12, 'trace_an': 10}
-
id: 54705019
{'hecke_orbit_code': 45035996307265615, 'n': 13, 'trace_an': 4}
-
id: 54705020
{'hecke_orbit_code': 45035996307265615, 'n': 14, 'trace_an': 0}
-
id: 54705021
{'hecke_orbit_code': 45035996307265615, 'n': 15, 'trace_an': -14}
-
id: 54705022
{'hecke_orbit_code': 45035996307265615, 'n': 16, 'trace_an': 12}
-
id: 54705023
{'hecke_orbit_code': 45035996307265615, 'n': 17, 'trace_an': 18}
-
id: 54705024
{'hecke_orbit_code': 45035996307265615, 'n': 18, 'trace_an': -5}
-
id: 54705025
{'hecke_orbit_code': 45035996307265615, 'n': 19, 'trace_an': 15}
-
id: 54705026
{'hecke_orbit_code': 45035996307265615, 'n': 20, 'trace_an': 40}
-
id: 54705027
{'hecke_orbit_code': 45035996307265615, 'n': 21, 'trace_an': 0}
-
id: 54705028
{'hecke_orbit_code': 45035996307265615, 'n': 22, 'trace_an': -11}
-
id: 54705029
{'hecke_orbit_code': 45035996307265615, 'n': 23, 'trace_an': -5}
-
id: 54705030
{'hecke_orbit_code': 45035996307265615, 'n': 24, 'trace_an': 26}
-
id: 54705031
{'hecke_orbit_code': 45035996307265615, 'n': 25, 'trace_an': 15}
-
id: 54705032
{'hecke_orbit_code': 45035996307265615, 'n': 26, 'trace_an': 24}
-
id: 54705033
{'hecke_orbit_code': 45035996307265615, 'n': 27, 'trace_an': 10}
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id: 54705034
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