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mf_newforms • Show schema
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{'Nk2': 2700, 'analytic_conductor': 12.028786485973548, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -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': [75, 1, [26, 52], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 124, 'field_disc_factorization': [[2, 2], [31, 1]], 'field_poly': [-31, 0, 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, [-22, 6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597864886347, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '75.6.a.g', 'level': 75, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '75.6.a.g', 'nf_label': '2.2.124.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-3+\\beta )q^{2}-9q^{3}+(8-6\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '75.6.a', 'trace_display': [-6, -18, 0, -102], 'trace_hash': 1102046944545086807, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.466', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.763', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-3, 1], [-9, 0], [8, -6], [0, 0], [27, -9], [-51, 24], [-114, -6], [81, 0], [0, 0], [-6, 88], [-72, 54], [-527, 96], [897, -123], [0, 0], [-100, 96], [858, 40], [-243, 81], [2107, 168], [0, 0], [459, -216], [2746, -270], [222, -648], [1026, 54], [0, 0], [4557, -815], [-729, 0], [-4872, 498], [2034, 56], [0, 0], [-1299, 936], [6924, -196], [54, -792], [-1334, 738], [0, 0], [648, -486], [-2206, -1776], [-1113, 1603], [4743, -864], [0, 0], [5616, 296], [-8073, 1107], [4225, -216], [-16416, 740], [0, 0], [-20754, 2166], [-1230, 3328], [900, -864], [3650, -2448], [0, 0], [-7722, -360], [-22072, 3930], [32532, -248], [2187, -729], [0, 0], [1350, -2430], [-18963, -1512], [-4366, 1866], [-31962, -3008], [0, 0], [3655, -1008], [32913, -4107], [-4131, 1944], [-23648, 4440], [0, 0], [-24714, 2430], [-30867, -5160], [-576, -4828], [-1998, 5832], [0, 0], [49152, 6200], [-9234, -486], [13282, -3408], [-48438, 3122], [0, 0], [-14392, -11298], [65778, -4632], [-41013, 7335], [42000, -1920], [0, 0], [6561, 0], [-7672, 4728], [32886, 768], [43848, -4482], [0, 0], [-19371, 4873], [-18306, -504], [-15684, -9996], [51552, 3168], [0, 0], [98301, -17544], [122304, -6516], [11691, -8424], [106858, -11214], [0, 0], [-62316, 1764], [-34687, 22080], [-86838, 10994], [-486, 7128], [0, 0]], 'ap': [[-3, 1], [-9, 0], [0, 0], [-51, 24], [-6, 88], [-527, 96], [858, 40], [2107, 168], [222, -648], [2034, 56], [-1299, 936], [-2206, -1776], [5616, 296], [4225, -216], [-1230, 3328], [32532, -248], [-31962, -3008], [3655, -1008], [-30867, -5160], [49152, 6200], [13282, -3408], [42000, -1920], [32886, 768], [51552, 3168], [-34687, 22080], [58884, 5448], [-63940, 9744], [-64860, 22248], [100997, -2832], [-17124, 23488], [4888, -54000], [-11340, -42888], [-194178, -13584], [-233212, -5328], [125946, 944], [-51353, 40680], [163427, -20784], [-175621, 27480], [-264396, -13416], [96126, -65592], [113910, 14320], [229361, -11424], [-436866, -15352], [-171109, -73392], [577086, -48], [-239909, -45576], [-295549, -15864], [46013, -66024], [580704, -44776], [247953, 131472], [163680, 26184], [-45348, -265832], [166729, -168672], [-667908, 47760], [593820, -19632], [1403304, -76120], [591582, -285032], [-910856, 171888], [-891219, 8352], [74118, -94776], [1352823, 183336], [-77466, 322560], [-2219945, -120792], [19374, -234192], [-1420981, -162960], [1521000, 241328], [989052, -171600], [985801, 35472], [2016018, -185600], [1598074, 407136], [-1357122, -310104], [-79512, 264792], [-69669, -23688], [1936675, 279744], [-3101015, -47880], [4139124, -109200], [4606248, -198888], [646135, 633888], [117780, -181608], [2735093, -402288], [-1280268, -662632], [3019318, -709776], [-714714, -198024], [-1419101, -214800], [-2816915, -38520], [1768728, 306576], [1495716, 724624], [707734, -383136], [-1740108, -444840], [2395560, 321264], [-546030, -147592], [-1859250, -28320], [-7792717, -51480], [1623480, -95008], [2845147, 72408], [-8044152, 511976], [5225958, -49328], [-4130034, -234904], [-6748865, -411816], [6655581, -121344], [8184904, 241104], [-4335702, 94560], [-4014834, -1840152], [-4981578, 701928], [-2187181, -1286712], [5661443, -1670880], [9415140, -314232], [1553880, -951496], [-8830404, 956144], [-8858461, -1342032], [-5550392, -799200], [-4652414, -600672], [1145172, 2589336], [718823, -1826808], [-4308263, 138840], [-2683524, 2621136], [9251700, -104016], [11489988, 119680], [-9823566, 1678880], [-11722080, -1409960], [-8181398, -751200], [8370582, -1837008], [-9583614, -1809528], [10939464, -157440], [-4956056, 1957488], [3649950, 1103672], [4219657, -46992], [14133366, -442056], [5968997, 826776], [24836270, 579744], [7175308, 2617152], [-856740, -2881376], [-1325576, -423792], [-609863, -2736144], [-7101492, -671616], [-11396269, 2866704], [-2901936, -1982760], [41335, 2939448], [-23040540, 1046288], [4967940, -3840280], [6324987, 1991640], [4319598, -4189056], [21056441, 277368], [-3685572, 3741160], [-19691310, -1834560], [-9384030, -755080], [15957939, -1167600], [-19430220, -3890192], [23646520, -347760], [4451520, 2056304], [-22620981, 2192784], [-33560112, -1228496], [-6360295, 2260584], [12012030, -3598272], [3202860, -6255072], [-12883338, 2398240], [8881255, -3881160], [-5866218, 5062328], [-1850049, 8536272], [15943446, -4105984], [28476102, -3834024], [-4343112, -4040864], [-4178512, -1081440], [8577066, -2177904], [-23974062, 4322800], [-12662748, -1639008], [20281937, -3763560], [7617402, -1297824]], 'char_orbit_index': 1, 'field_poly': [-31, 0, 1], 'hecke_orbit_code': 27021597864886347, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '75.6.a.g', 'level': 75, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'ALdims': [3, 4, 5, 3], 'Nk2': 2700, 'analytic_conductor': 12.028786485973548, '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': [75, 1, [26, 52], [1, 1]], 'conrey_index': 1, 'cusp_dim': 44, 'dim': 15, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663371, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2], 'label': '75.6.a', 'level': 75, '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': [3, 5], 'level_radical': 15, 'mf_dim': 56, 'mf_new_dim': 15, 'num_forms': 10, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 15, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [2, 9, 0, 272], 'traces': [15, 2, 9, 176, 0, 54, 272, 60, 1215, 0, -288, 828, 146, 2268, 0, 3124, -3538, 162, 4442, 0, -2214, 3444, 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-160544544, 141995160, 0, -31425768, 17296416, -5356880, -95452428, 0, 48725130, -456696, -65013732, 51734736, 0, 122778072, 18858362, -47607280, -31803354, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 64434
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '75.6.a.g', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '75.6.a.g', 'target_level': 75, 'twist_class_label': '75.6.a.g', 'twist_class_level': 75, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 64435
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '75.6.a.g', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '75.6.a.i', 'target_level': 75, 'twist_class_label': '75.6.a.g', 'twist_class_level': 75, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 64436
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '75.6.a.g', 'source_level': 75, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '75.6.b.f', 'target_level': 75, 'twist_class_label': '75.6.a.g', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 64437
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '75.6.a.g', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '225.6.a.j', 'target_level': 225, 'twist_class_label': '75.6.a.g', 'twist_class_level': 75, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 64438
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '75.6.a.g', 'source_level': 75, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '225.6.a.t', 'target_level': 225, 'twist_class_label': '75.6.a.g', 'twist_class_level': 75, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 64439
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '75.6.a.g', 'source_level': 75, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '225.6.b.l', 'target_level': 225, 'twist_class_label': '75.6.a.g', 'twist_class_level': 75, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 232675
{'charpoly_factorization': [[[-22, 6, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 2}
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id: 232676
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 27021597864886347, 'p': 3}
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id: 232677
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597864886347, 'p': 5}
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id: 232678
{'charpoly_factorization': [[[-15255, 102, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 7}
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id: 232679
{'charpoly_factorization': [[[-240028, 12, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 11}
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id: 232680
{'charpoly_factorization': [[[-7967, 1054, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 13}
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id: 232681
{'charpoly_factorization': [[[686564, -1716, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 17}
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id: 232682
{'charpoly_factorization': [[[3564505, -4214, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 19}
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id: 232683
{'charpoly_factorization': [[[-12967740, -444, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 23}
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id: 232684
{'charpoly_factorization': [[[4039940, -4068, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 29}
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id: 232685
{'charpoly_factorization': [[[-25471575, 2598, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 31}
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id: 232686
{'charpoly_factorization': [[[-92913020, 4412, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 37}
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id: 232687
{'charpoly_factorization': [[[28823360, -11232, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 41}
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id: 232688
{'charpoly_factorization': [[[16404289, -8450, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 43}
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id: 232689
{'charpoly_factorization': [[[-341830204, 2460, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 47}
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id: 232690
{'charpoly_factorization': [[[1056424400, -65064, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 53}
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id: 232691
{'charpoly_factorization': [[[741079460, 63924, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 59}
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id: 232692
{'charpoly_factorization': [[[-18138959, -7310, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 61}
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id: 232693
{'charpoly_factorization': [[[127378089, 61734, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 67}
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id: 232694
{'charpoly_factorization': [[[1224279104, -98304, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 71}
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id: 232695
{'charpoly_factorization': [[[-183636860, -26564, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 73}
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id: 232696
{'charpoly_factorization': [[[1649721600, -84000, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 79}
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id: 232697
{'charpoly_factorization': [[[1063204452, -65772, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 83}
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id: 232698
{'charpoly_factorization': [[[2346485760, -103104, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 89}
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id: 232699
{'charpoly_factorization': [[[-13910130431, 69374, 1], 1]], 'hecke_orbit_code': 27021597864886347, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '75.6.a.g', 'level': 75, 'portrait': 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', 'weight': 6}
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mf_hecke_traces • Show schema
Hide schema
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id: 46778473
{'hecke_orbit_code': 27021597864886347, 'n': 1, 'trace_an': 2}
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id: 46778474
{'hecke_orbit_code': 27021597864886347, 'n': 2, 'trace_an': -6}
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id: 46778475
{'hecke_orbit_code': 27021597864886347, 'n': 3, 'trace_an': -18}
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id: 46778476
{'hecke_orbit_code': 27021597864886347, 'n': 4, 'trace_an': 16}
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id: 46778477
{'hecke_orbit_code': 27021597864886347, 'n': 5, 'trace_an': 0}
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id: 46778478
{'hecke_orbit_code': 27021597864886347, 'n': 6, 'trace_an': 54}
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id: 46778479
{'hecke_orbit_code': 27021597864886347, 'n': 7, 'trace_an': -102}
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id: 46778480
{'hecke_orbit_code': 27021597864886347, 'n': 8, 'trace_an': -228}
-
id: 46778481
{'hecke_orbit_code': 27021597864886347, 'n': 9, 'trace_an': 162}
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id: 46778482
{'hecke_orbit_code': 27021597864886347, 'n': 10, 'trace_an': 0}
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id: 46778483
{'hecke_orbit_code': 27021597864886347, 'n': 11, 'trace_an': -12}
-
id: 46778484
{'hecke_orbit_code': 27021597864886347, 'n': 12, 'trace_an': -144}
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id: 46778485
{'hecke_orbit_code': 27021597864886347, 'n': 13, 'trace_an': -1054}
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id: 46778486
{'hecke_orbit_code': 27021597864886347, 'n': 14, 'trace_an': 1794}
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id: 46778487
{'hecke_orbit_code': 27021597864886347, 'n': 15, 'trace_an': 0}
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id: 46778488
{'hecke_orbit_code': 27021597864886347, 'n': 16, 'trace_an': -200}
-
id: 46778489
{'hecke_orbit_code': 27021597864886347, 'n': 17, 'trace_an': 1716}
-
id: 46778490
{'hecke_orbit_code': 27021597864886347, 'n': 18, 'trace_an': -486}
-
id: 46778491
{'hecke_orbit_code': 27021597864886347, 'n': 19, 'trace_an': 4214}
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id: 46778492
{'hecke_orbit_code': 27021597864886347, 'n': 20, 'trace_an': 0}
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id: 46778493
{'hecke_orbit_code': 27021597864886347, 'n': 21, 'trace_an': 918}
-
id: 46778494
{'hecke_orbit_code': 27021597864886347, 'n': 22, 'trace_an': 5492}
-
id: 46778495
{'hecke_orbit_code': 27021597864886347, 'n': 23, 'trace_an': 444}
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id: 46778496
{'hecke_orbit_code': 27021597864886347, 'n': 24, 'trace_an': 2052}
-
id: 46778497
{'hecke_orbit_code': 27021597864886347, 'n': 25, 'trace_an': 0}
-
id: 46778498
{'hecke_orbit_code': 27021597864886347, 'n': 26, 'trace_an': 9114}
-
id: 46778499
{'hecke_orbit_code': 27021597864886347, 'n': 27, 'trace_an': -1458}
-
id: 46778500
{'hecke_orbit_code': 27021597864886347, 'n': 28, 'trace_an': -9744}
-
id: 46778501
{'hecke_orbit_code': 27021597864886347, 'n': 29, 'trace_an': 4068}
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id: 46778502
{'hecke_orbit_code': 27021597864886347, 'n': 30, 'trace_an': 0}
-
id: 46778503
{'hecke_orbit_code': 27021597864886347, 'n': 31, 'trace_an': -2598}
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id: 46778504
{'hecke_orbit_code': 27021597864886347, 'n': 32, 'trace_an': 13848}
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id: 46778505
{'hecke_orbit_code': 27021597864886347, 'n': 33, 'trace_an': 108}
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id: 46778506
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