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mf_newforms • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 6, 'char_parity': 1, 'char_values': [273, 6, [92, 157, 106], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 43, 'conrey_indexes': [43, 127], 'dim': 16, 'field_disc': 72418229995681206042624, 'field_disc_factorization': [[2, 16], [3, 8], [167, 2], [77711, 2]], 'field_poly': [6561, -8748, 7290, -1944, -243, 864, -45, -132, 214, -44, -5, 32, -3, -8, 10, -4, 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, [3721, 1464, -7616, -3072, 11883, 768, -7502, -78, 3348, -24, -839, 6, 152, 0, -15, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505592525750545, 'hecke_ring_generator_nbound': 7, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '273.2.bd.b', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '273.2.bd.b', 'prim_orbit_index': 5, 'qexp_display': 'q-\\beta _{14}q^{2}-\\beta _{5}q^{3}+(2+2\\beta _{5}+\\beta _{7}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '273.2.bd', 'trace_display': [0, 8, 0, 0], 'trace_hash': 828475734515937683, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.028', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '976.209', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '112568.915', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.170', 'prec': 17}, 'traces': [16, 0, 8, 14, 0, 0, 0, 0, -8, -4, 0, 28, -12, -4, -12, -10, -2, 0, 0, 18, 0, -18, -6, 0, -20, 20, -16, 0, -12, 4, 0, -30, 0, 0, 6, 14, -6, -24, 0, -28, -30, -2, 14, 0, -12, -42, 0, 10, 8, 84, -4, 30, 28, 0, 2, -12, 0, 66, -24, 0, 2, -20, 0, -48, -44, -36, 30, 36, 6, 0, -6, 0, 0, 6, -10, -24, 32, 10, 92, 114, -8, -42, 0, 0, 48, 0, 12, 62, 18, 8, 0, -116, -6, -24, -24, 0, -6, 0, 0, -10, -14, 42, 24, -16, 12, -30, 6, -14, 0, -54, -6, 0, 6, -12, 6, -68, 12, 56, 0, -14, 48, 0, -30, -36, 0, 2, 24, -102, 28, -16, -76, -54, 14, 24, 0, -120, -6, 0, 10, 10, 0, -84, 56, 20, 18, -40, -8, 0, 102, 84, 0, -10, -2, -48, 52, -18, -96, -6, 14, -6, 0, 0, 42, 0, -2, -30, -66, -24, -30, 128, 0, -24, -44, 0, -12, 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mf_hecke_cc • Show schema
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'conrey_index': 127, 'dual_conrey_index': 43, 'dual_embedding_index': 5, 'dual_embedding_m': 5, 'embedding_index': 5, 'embedding_m': 13, 'embedding_root_imag': -1.561206616377414, 'embedding_root_real': 0.7500892620077867, 'hecke_orbit': 2, 'hecke_orbit_code': 4505592525750545, 'label': '273.2.bd.b.127.5', 'level': 273, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 6, 'char_parity': 1, 'char_values': [273, 6, [92, 157, 106], [6, 6, 1]], 'conrey_index': 43, 'cusp_dim': 68, 'dim': 32, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 1992898380049, 'hecke_orbit_dims': [16, 16], 'label': '273.2.bd', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 84, 'mf_new_dim': 32, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 16, 'sturm_bound': 74, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 20, 0, 0, 0, 0, -16, -8, -12, 16, -8, 0, -12, -20, 8, 0, 0, 24, 0, -20, -8, 0, -8, 40, 0, 0, 0, 0, 0, 0, 12, 0, 4, 20, 12, -56, -8, -88, -12, -4, 4, 0, -12, -12, 0, 0, 16, 60, -24, 4, 40, 0, 12, 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mf_twists_cc • Show schema
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id: 38673426
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4505592525750545, 'source_is_minimal': True, 'source_label': '273.2.bd.b.127.5', 'source_level': 273, 'target_conrey_index': 127, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4505592525750545, 'target_is_minimal': True, 'target_label': '273.2.bd.b.127.5', 'target_level': 273, 'twist_class_label': '273.2.bd.b.43.5', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 38673427
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4505592525750545, 'source_is_minimal': True, 'source_label': '273.2.bd.b.127.5', 'source_level': 273, 'target_conrey_index': 127, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9012078371144499, 'target_is_minimal': False, 'target_label': '819.2.ct.c.127.4', 'target_level': 819, 'twist_class_label': '273.2.bd.b.43.5', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 38673428
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4505592525750545, 'source_is_minimal': True, 'source_label': '273.2.bd.b.127.5', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 117093590345190877, 'target_is_minimal': False, 'target_label': '3549.2.a.ba.1.6', 'target_level': 3549, 'twist_class_label': '273.2.bd.b.43.5', 'twist_class_level': 273, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 38673429
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4505592525750545, 'source_is_minimal': True, 'source_label': '273.2.bd.b.127.5', 'source_level': 273, 'target_conrey_index': 43, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4505592525750545, 'target_is_minimal': True, 'target_label': '273.2.bd.b.43.5', 'target_level': 273, 'twist_class_label': '273.2.bd.b.43.5', 'twist_class_level': 273, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 38673430
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4505592525750545, 'source_is_minimal': True, 'source_label': '273.2.bd.b.127.5', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599931869, 'target_is_minimal': False, 'target_label': '3549.2.a.bc.1.3', 'target_level': 3549, 'twist_class_label': '273.2.bd.b.43.5', 'twist_class_level': 273, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 38673431
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 5, 'source_hecke_orbit_code': 4505592525750545, 'source_is_minimal': True, 'source_label': '273.2.bd.b.127.5', 'source_level': 273, 'target_conrey_index': 316, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9012078371144499, 'target_is_minimal': False, 'target_label': '819.2.ct.c.316.4', 'target_level': 819, 'twist_class_label': '273.2.bd.b.43.5', 'twist_class_level': 273, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 624850
{'charpoly_factorization': [[[3721, 1464, -7616, -3072, 11883, 768, -7502, -78, 3348, -24, -839, 6, 152, 0, -15, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 2}
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id: 624851
{'charpoly_factorization': [[[1, -1, 1], 8]], 'hecke_orbit_code': 4505592525750545, 'p': 3}
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id: 624852
{'charpoly_factorization': [[[20449, 0, 90832, 0, 142366, 0, 105026, 0, 40755, 0, 8554, 0, 943, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 5}
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id: 624853
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 4]], 'hecke_orbit_code': 4505592525750545, 'p': 7}
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id: 624854
{'charpoly_factorization': [[[583696, 5931696, 24604652, 45846420, 38322277, 5590014, -7562693, -1779870, 1354161, 55608, -78130, -1506, 3295, 0, -68, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 11}
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id: 624855
{'charpoly_factorization': [[[815730721, 752982204, 419932383, 173765124, 56293731, 14803386, 3118557, 541398, 110993, 41646, 18453, 6738, 1971, 468, 87, 12, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 13}
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id: 624856
{'charpoly_factorization': [[[238177489, 161892170, 334590250, -101145012, 191836527, -27233098, 35681508, -6300552, 4486990, -433552, 196663, -7166, 5952, -90, 95, 2, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 17}
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id: 624857
{'charpoly_factorization': [[[9412624, -42817008, 82659420, -80679636, 34496909, 3169812, -7195555, 319776, 1206690, -167436, -84679, 10092, 4962, 0, -79, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 19}
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id: 624858
{'charpoly_factorization': [[[22886656, -8993920, 38443248, 36624152, 44487729, 23350938, 13767342, 5468296, 2504193, 790278, 230400, 43284, 7319, 718, 93, 6, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 23}
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id: 624859
{'charpoly_factorization': [[[81511963009, 44493358526, 46472881591, 15480683942, 14027206436, 4681122176, 2038109827, 322530472, 79451914, 8625846, 1971772, 167952, 27535, 1712, 250, 12, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 29}
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id: 624860
{'charpoly_factorization': [[[1539149824, 0, 1959532416, 0, 893375705, 0, 180839080, 0, 17762874, 0, 871282, 0, 21081, 0, 238, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 31}
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id: 624861
{'charpoly_factorization': [[[223550241721, 299817020076, 151888656134, 23945488392, -5919188267, -2184800070, 184089388, 145053996, 7563018, -3894930, -349861, 80784, 10306, -786, -119, 6, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 37}
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id: 624862
{'charpoly_factorization': [[[7256313856, -10483765248, -16322056192, 30876303360, 66645882112, 25257766656, 2203861888, -562260672, -85318704, 13399152, 3478244, 97116, -29147, -1590, 247, 30, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 41}
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id: 624863
{'charpoly_factorization': [[[599528101264, -992348113040, 1172048967724, -635201723716, 254780946785, -68763606212, 15187009598, -2512139128, 384369919, -47357182, 6077732, -572594, 57419, -3514, 319, -14, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 43}
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id: 624864
{'charpoly_factorization': [[[1683953296, 0, 17007610936, 0, 32974980985, 0, 7226156720, 0, 517335786, 0, 11917774, 0, 120949, 0, 566, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 47}
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id: 624865
{'charpoly_factorization': [[[-8807, 7238, 28748, -17386, -6458, 2434, -124, -14, 1], 2]], 'hecke_orbit_code': 4505592525750545, 'p': 53}
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id: 624866
{'charpoly_factorization': [[[2315546542864, 1720284979536, 123773082572, -224544890484, -16048208927, 20155762644, 3391153420, -532299372, -138231129, 10043916, 5093834, 403314, -15611, -3000, 67, 24, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 59}
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id: 624867
{'charpoly_factorization': [[[114864732889, 47457191842, 53208867724, -7338928308, 9101071194, -681160754, 576233976, -31785078, 25590091, -826730, 673816, -17470, 12834, -204, 140, -2, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 61}
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id: 624868
{'charpoly_factorization': [[[119295633664, 381437109120, 235521335280, -546807288600, 298239165665, -72757590504, 6004645558, 850305960, -168190977, -14825850, 5706748, -330294, -30909, 3030, 199, -30, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 67}
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id: 624869
{'charpoly_factorization': [[[672053776, -5140729200, 13558681676, -3450221700, -6851424155, 1837238664, 3695865109, 1216979016, 104319321, -17574768, -2428390, 237816, 40585, -1416, -224, 6, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 71}
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id: 624870
{'charpoly_factorization': [[[9572078569, 0, 114981929964, 0, 253081686350, 0, 22257380302, 0, 762202839, 0, 13078486, 0, 119307, 0, 550, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 73}
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id: 624871
{'charpoly_factorization': [[[-7916, 328532, -535107, 170512, -7678, -4238, 741, -46, 1], 2]], 'hecke_orbit_code': 4505592525750545, 'p': 79}
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id: 624872
{'charpoly_factorization': [[[1430416, 0, 47083672, 0, 314617561, 0, 403086002, 0, 139400385, 0, 7510042, 0, 107158, 0, 572, 0, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 83}
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id: 624873
{'charpoly_factorization': [[[29787842814976, 46703036593920, 30642677991264, 9775274465880, 1287408394433, -73774715394, -36459678523, -94054650, 907825674, 70583022, -7084771, -802794, 51858, 5742, -211, -18, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 89}
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id: 624874
{'charpoly_factorization': [[[43264, 1287936, 15364272, 76923216, 193814129, 237275004, 117317600, -14658288, -17412681, 2738022, 3824426, 782040, 52281, -1446, -229, 6, 1], 1]], 'hecke_orbit_code': 4505592525750545, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 30, 'hecke_orbit': 2, 'label': '273.2.bd.b', 'level': 273, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 97569000
{'hecke_orbit_code': 4505592525750545, 'n': 1, 'trace_an': 16}
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id: 97569001
{'hecke_orbit_code': 4505592525750545, 'n': 2, 'trace_an': 0}
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id: 97569002
{'hecke_orbit_code': 4505592525750545, 'n': 3, 'trace_an': 8}
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id: 97569003
{'hecke_orbit_code': 4505592525750545, 'n': 4, 'trace_an': 14}
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id: 97569004
{'hecke_orbit_code': 4505592525750545, 'n': 5, 'trace_an': 0}
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id: 97569005
{'hecke_orbit_code': 4505592525750545, 'n': 6, 'trace_an': 0}
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id: 97569006
{'hecke_orbit_code': 4505592525750545, 'n': 7, 'trace_an': 0}
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id: 97569007
{'hecke_orbit_code': 4505592525750545, 'n': 8, 'trace_an': 0}
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id: 97569008
{'hecke_orbit_code': 4505592525750545, 'n': 9, 'trace_an': -8}
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id: 97569009
{'hecke_orbit_code': 4505592525750545, 'n': 10, 'trace_an': -4}
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id: 97569010
{'hecke_orbit_code': 4505592525750545, 'n': 11, 'trace_an': 0}
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id: 97569011
{'hecke_orbit_code': 4505592525750545, 'n': 12, 'trace_an': 28}
-
id: 97569012
{'hecke_orbit_code': 4505592525750545, 'n': 13, 'trace_an': -12}
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id: 97569013
{'hecke_orbit_code': 4505592525750545, 'n': 14, 'trace_an': -4}
-
id: 97569014
{'hecke_orbit_code': 4505592525750545, 'n': 15, 'trace_an': -12}
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id: 97569015
{'hecke_orbit_code': 4505592525750545, 'n': 16, 'trace_an': -10}
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id: 97569016
{'hecke_orbit_code': 4505592525750545, 'n': 17, 'trace_an': -2}
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id: 97569017
{'hecke_orbit_code': 4505592525750545, 'n': 18, 'trace_an': 0}
-
id: 97569018
{'hecke_orbit_code': 4505592525750545, 'n': 19, 'trace_an': 0}
-
id: 97569019
{'hecke_orbit_code': 4505592525750545, 'n': 20, 'trace_an': 18}
-
id: 97569020
{'hecke_orbit_code': 4505592525750545, 'n': 21, 'trace_an': 0}
-
id: 97569021
{'hecke_orbit_code': 4505592525750545, 'n': 22, 'trace_an': -18}
-
id: 97569022
{'hecke_orbit_code': 4505592525750545, 'n': 23, 'trace_an': -6}
-
id: 97569023
{'hecke_orbit_code': 4505592525750545, 'n': 24, 'trace_an': 0}
-
id: 97569024
{'hecke_orbit_code': 4505592525750545, 'n': 25, 'trace_an': -20}
-
id: 97569025
{'hecke_orbit_code': 4505592525750545, 'n': 26, 'trace_an': 20}
-
id: 97569026
{'hecke_orbit_code': 4505592525750545, 'n': 27, 'trace_an': -16}
-
id: 97569027
{'hecke_orbit_code': 4505592525750545, 'n': 28, 'trace_an': 0}
-
id: 97569028
{'hecke_orbit_code': 4505592525750545, 'n': 29, 'trace_an': -12}
-
id: 97569029
{'hecke_orbit_code': 4505592525750545, 'n': 30, 'trace_an': 4}
-
id: 97569030
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