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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': 1231105334503172703584256, 'field_disc_factorization': [[2, 16], [3, 8], [13, 2], [1367, 2], [3011, 2]], 'field_poly': [1, 0, 96, 0, 690, 0, 1618, 0, 1619, 0, 774, 0, 187, 0, 22, 0, 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, [1, -12, 24, 288, 519, -144, -758, 66, 824, 12, -315, -6, 88, 0, -11, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1992898380049, '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.a', '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.a', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{2}q^{2}+(-1+\\beta _{12})q^{3}+(1+\\beta _{3}+\\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': 642033473881645473, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.149', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '862.583', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '90363.424', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.170', 'prec': 17}, 'traces': [16, 0, -8, 6, 0, 0, 0, 0, -8, -4, -12, -12, 4, 4, 0, -10, 10, 0, 0, 6, 0, -2, -2, 0, 12, 20, 16, 0, 12, -4, 0, 30, 12, 0, -2, 6, 18, -32, -8, -60, 18, -2, -10, 0, 0, 30, 0, -10, 8, -24, -20, -26, 12, 0, 10, 12, 0, -54, -60, 0, -6, 16, 0, 16, -20, 4, -18, -20, -2, 0, 6, 0, 0, 18, -6, 72, -16, 14, -4, 30, -8, -18, 0, 0, -24, 0, 12, -2, 78, 8, -8, -20, 6, 16, -4, 0, -54, 0, 0, 30, -2, 6, 24, 36, 4, -30, 18, 6, 0, -6, -18, 0, 10, 16, -66, 20, 4, -40, 0, 30, 0, 0, -18, 84, 0, -2, -8, 18, 20, -48, -68, -6, -18, -44, 0, 96, 18, 0, -6, 2, -24, 28, 16, 20, -54, -56, 8, 0, -54, 24, 0, -50, 10, 24, 60, 10, 64, 30, -6, 50, 0, 0, -30, 0, 10, -22, 42, -24, 66, 8, 0, -24, 40, 0, -12, -30, 0, 14, -6, -6, -12, -34, 12, 72, 30, 16, 0, -66, 0, 0, -2, -8, 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mf_hecke_cc • Show schema
Hide schema
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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: 21805111
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 1992898380049, 'source_is_minimal': True, 'source_label': '273.2.bd.a.127.8', 'source_level': 273, 'target_conrey_index': 127, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 1992898380049, 'target_is_minimal': True, 'target_label': '273.2.bd.a.127.8', 'target_level': 273, 'twist_class_label': '273.2.bd.a.43.8', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 21805112
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 1992898380049, 'source_is_minimal': True, 'source_label': '273.2.bd.a.127.8', 'source_level': 273, 'target_conrey_index': 127, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4508478743774003, 'target_is_minimal': False, 'target_label': '819.2.ct.b.127.1', 'target_level': 819, 'twist_class_label': '273.2.bd.a.43.8', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 21805113
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 1992898380049, 'source_is_minimal': True, 'source_label': '273.2.bd.a.127.8', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 130604389227302365, 'target_is_minimal': False, 'target_label': '3549.2.a.bd.1.7', 'target_level': 3549, 'twist_class_label': '273.2.bd.a.43.8', 'twist_class_level': 273, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 21805114
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 1992898380049, 'source_is_minimal': True, 'source_label': '273.2.bd.a.127.8', 'source_level': 273, 'target_conrey_index': 43, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 1992898380049, 'target_is_minimal': True, 'target_label': '273.2.bd.a.43.8', 'target_level': 273, 'twist_class_label': '273.2.bd.a.43.8', 'twist_class_level': 273, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 21805115
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 1992898380049, 'source_is_minimal': True, 'source_label': '273.2.bd.a.127.8', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972561373, 'target_is_minimal': False, 'target_label': '3549.2.a.bb.1.2', 'target_level': 3549, 'twist_class_label': '273.2.bd.a.43.8', 'twist_class_level': 273, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 21805116
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 127, 'source_dim': 16, 'source_embedding_index': 8, 'source_hecke_orbit_code': 1992898380049, 'source_is_minimal': True, 'source_label': '273.2.bd.a.127.8', 'source_level': 273, 'target_conrey_index': 316, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4508478743774003, 'target_is_minimal': False, 'target_label': '819.2.ct.b.316.1', 'target_level': 819, 'twist_class_label': '273.2.bd.a.43.8', '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: 624825
{'charpoly_factorization': [[[1, -12, 24, 288, 519, -144, -758, 66, 824, 12, -315, -6, 88, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 2}
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id: 624826
{'charpoly_factorization': [[[1, 1, 1], 8]], 'hecke_orbit_code': 1992898380049, 'p': 3}
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id: 624827
{'charpoly_factorization': [[[9, 0, 1968, 0, 8350, 0, 12186, 0, 8131, 0, 2690, 0, 439, 0, 34, 0, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 5}
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id: 624828
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 4]], 'hecke_orbit_code': 1992898380049, 'p': 7}
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id: 624829
{'charpoly_factorization': [[[144, -2448, 10860, 51204, 37501, -78402, -60765, 139170, 251713, 173040, 59006, 7974, -677, -240, 28, 12, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 11}
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id: 624830
{'charpoly_factorization': [[[815730721, -250994068, -120670225, 22277580, 14023451, -628342, -1155115, -28002, 98049, -2154, -6835, -286, 491, 60, -25, -4, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 13}
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id: 624831
{'charpoly_factorization': [[[2883582601, 234664630, 2330838850, -1885876084, 1760432883, -727258022, 278358164, -60927516, 15319882, -2527264, 540459, -68558, 11448, -1046, 155, -10, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 17}
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id: 624832
{'charpoly_factorization': [[[25335725584, 7202851344, -5761497252, -1832027220, 1083013485, 141572916, -93001043, -7551360, 5732258, 180468, -215127, -3060, 5890, 0, -95, 0, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 19}
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id: 624833
{'charpoly_factorization': [[[1446433024, 1528886400, 2667358576, -889293848, 772743593, -149196990, 80220610, -12273552, 5603725, -586894, 227780, -14156, 6555, -190, 101, 2, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 23}
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id: 624834
{'charpoly_factorization': [[[2538849769, 2586566258, 6606128639, -6235198678, 5013493680, -1935836228, 663667199, -137598688, 32835814, -5339730, 1056916, -125736, 18431, -1544, 202, -12, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 29}
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id: 624835
{'charpoly_factorization': [[[7929856, 0, 112898560, 0, 170903929, 0, 64267032, 0, 9194570, 0, 582754, 0, 17145, 0, 222, 0, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 31}
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id: 624836
{'charpoly_factorization': [[[16292735449, -50156040420, 45278382702, 19052088840, -6265438547, -2867954790, 1090759412, 31084044, -46404942, 942702, 1715827, -231432, -2470, 2070, -7, -18, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 37}
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id: 624837
{'charpoly_factorization': [[[692224, -5271552, 5394432, 60825600, 108961024, 78628608, 17044352, -6527040, -1928880, 411120, 131908, -19716, -3931, 666, 71, -18, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 41}
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id: 624838
{'charpoly_factorization': [[[15764309136, -13166806608, 20996953932, 2947067436, 7959097345, -758584324, 744793030, -23007624, 34448407, -638086, 1055388, 24974, 17299, 686, 215, 10, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 43}
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id: 624839
{'charpoly_factorization': [[[1336336, 0, 33845368, 0, 98680561, 0, 44803608, 0, 6887354, 0, 471742, 0, 15381, 0, 222, 0, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 47}
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id: 624840
{'charpoly_factorization': [[[-76707, 89910, -5832, -19170, 2754, 1026, -168, -6, 1], 2]], 'hecke_orbit_code': 1992898380049, 'p': 53}
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id: 624841
{'charpoly_factorization': [[[3887273104, 8125939536, 6748307916, 2270513772, -145310295, -113420976, 344300344, 371997060, 195076667, 65948376, 15608430, 2660790, 327337, 28500, 1675, 60, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 59}
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id: 624842
{'charpoly_factorization': [[[103866332089, 127056205354, 146407411436, 47476831324, 26038308426, 6119158214, 3051479096, 530968738, 152908123, 12785262, 3703384, 271482, 53042, 1412, 268, 6, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 61}
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id: 624843
{'charpoly_factorization': [[[5866334464, -45343076736, 133462187888, -128598937800, 54486257009, -7326684648, -1485775154, 431145240, 38020119, -14682954, -346924, 262914, 6427, -2970, -57, 18, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 67}
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id: 624844
{'charpoly_factorization': [[[8447342955287184, 289151839778256, -387082496566740, -13362733173972, 11689183350061, 407758474068, -202198889719, -6985442844, 2548849493, 83725368, -20593578, -599316, 122673, 2640, -428, -6, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 71}
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id: 624845
{'charpoly_factorization': [[[17309352523401, 0, 8472674581404, 0, 1089036344158, 0, 56758848702, 0, 1487243191, 0, 21177398, 0, 164251, 0, 646, 0, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 73}
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id: 624846
{'charpoly_factorization': [[[75240852, 5078148, -6074987, 70920, 99754, -974, -563, 2, 1], 2]], 'hecke_orbit_code': 1992898380049, 'p': 79}
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id: 624847
{'charpoly_factorization': [[[2140872301584, 0, 1825221854616, 0, 369726290449, 0, 27837898786, 0, 990922729, 0, 18015746, 0, 164878, 0, 684, 0, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 83}
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id: 624848
{'charpoly_factorization': [[[72734154590831616, 12225086128196352, -3334789752264864, -675630069691464, 188710877512633, -5245161354102, -1798621372831, 105489558138, 14875953002, -1755119190, 7020273, 7056522, -190830, -27222, 2377, -78, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 89}
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id: 624849
{'charpoly_factorization': [[[941955655936, -3208618464000, 1735107937840, 6499645590000, 4070133756097, 471017902812, -99402588504, -17064046512, 3553986407, 1015553094, 81915010, 669720, -216495, -3078, 915, 54, 1], 1]], 'hecke_orbit_code': 1992898380049, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 30, 'hecke_orbit': 1, 'label': '273.2.bd.a', 'level': 273, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 53962000
{'hecke_orbit_code': 1992898380049, 'n': 1, 'trace_an': 16}
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id: 53962001
{'hecke_orbit_code': 1992898380049, 'n': 2, 'trace_an': 0}
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id: 53962002
{'hecke_orbit_code': 1992898380049, 'n': 3, 'trace_an': -8}
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id: 53962003
{'hecke_orbit_code': 1992898380049, 'n': 4, 'trace_an': 6}
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id: 53962004
{'hecke_orbit_code': 1992898380049, 'n': 5, 'trace_an': 0}
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id: 53962005
{'hecke_orbit_code': 1992898380049, 'n': 6, 'trace_an': 0}
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id: 53962006
{'hecke_orbit_code': 1992898380049, 'n': 7, 'trace_an': 0}
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id: 53962007
{'hecke_orbit_code': 1992898380049, 'n': 8, 'trace_an': 0}
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id: 53962008
{'hecke_orbit_code': 1992898380049, 'n': 9, 'trace_an': -8}
-
id: 53962009
{'hecke_orbit_code': 1992898380049, 'n': 10, 'trace_an': -4}
-
id: 53962010
{'hecke_orbit_code': 1992898380049, 'n': 11, 'trace_an': -12}
-
id: 53962011
{'hecke_orbit_code': 1992898380049, 'n': 12, 'trace_an': -12}
-
id: 53962012
{'hecke_orbit_code': 1992898380049, 'n': 13, 'trace_an': 4}
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id: 53962013
{'hecke_orbit_code': 1992898380049, 'n': 14, 'trace_an': 4}
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id: 53962014
{'hecke_orbit_code': 1992898380049, 'n': 15, 'trace_an': 0}
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id: 53962015
{'hecke_orbit_code': 1992898380049, 'n': 16, 'trace_an': -10}
-
id: 53962016
{'hecke_orbit_code': 1992898380049, 'n': 17, 'trace_an': 10}
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id: 53962017
{'hecke_orbit_code': 1992898380049, 'n': 18, 'trace_an': 0}
-
id: 53962018
{'hecke_orbit_code': 1992898380049, 'n': 19, 'trace_an': 0}
-
id: 53962019
{'hecke_orbit_code': 1992898380049, 'n': 20, 'trace_an': 6}
-
id: 53962020
{'hecke_orbit_code': 1992898380049, 'n': 21, 'trace_an': 0}
-
id: 53962021
{'hecke_orbit_code': 1992898380049, 'n': 22, 'trace_an': -2}
-
id: 53962022
{'hecke_orbit_code': 1992898380049, 'n': 23, 'trace_an': -2}
-
id: 53962023
{'hecke_orbit_code': 1992898380049, 'n': 24, 'trace_an': 0}
-
id: 53962024
{'hecke_orbit_code': 1992898380049, 'n': 25, 'trace_an': 12}
-
id: 53962025
{'hecke_orbit_code': 1992898380049, 'n': 26, 'trace_an': 20}
-
id: 53962026
{'hecke_orbit_code': 1992898380049, 'n': 27, 'trace_an': 16}
-
id: 53962027
{'hecke_orbit_code': 1992898380049, 'n': 28, 'trace_an': 0}
-
id: 53962028
{'hecke_orbit_code': 1992898380049, 'n': 29, 'trace_an': 12}
-
id: 53962029
{'hecke_orbit_code': 1992898380049, 'n': 30, 'trace_an': -4}
-
id: 53962030
{'hecke_orbit_code': 1992898380049, 'n': 31, 'trace_an': 0}
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id: 53962031
{'hecke_orbit_code': 1992898380049, 'n': 32, 'trace_an': 30}
-
id: 53962032
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