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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 2.6550859502583277, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [45, 3, [11, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 16, 'conrey_indexes': [16, 31], 'dim': 6, 'field_disc': -15759792, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [191, 2]], 'field_poly': [9, -39, 52, -27, 16, -3, 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, [9, -51, 292, 11, 18, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874572386349, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.4.e.b', 'level': 45, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.e.b', 'nf_label': '6.0.15759792.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{5})q^{2}+(1+\\beta _{2}-\\beta _{5})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45.4.e', 'trace_display': [1, 9, -15, 43], 'trace_hash': 1377816872456365475, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.725', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '124.233', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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'weight_parity': 1}
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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
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id: 35123290
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386349, 'target_is_minimal': True, 'target_label': '45.4.e.b.16.2', 'target_level': 45, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 35123291
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386439, 'target_is_minimal': False, 'target_label': '135.4.e.b.46.2', 'target_level': 135, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 35123292
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.124.4', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 35123293
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.124.3', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 35123294
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474199757025, 'target_is_minimal': False, 'target_label': '225.4.e.c.151.2', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 35123295
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396713443733, 'target_is_minimal': False, 'target_label': '405.4.a.j.1.2', 'target_level': 405, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 35123296
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386349, 'target_is_minimal': True, 'target_label': '45.4.e.b.31.2', 'target_level': 45, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 35123297
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874572386439, 'target_is_minimal': False, 'target_label': '135.4.e.b.91.2', 'target_level': 135, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 35123298
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197458702741, 'target_is_minimal': False, 'target_label': '405.4.a.h.1.2', 'target_level': 405, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 35123299
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474199757025, 'target_is_minimal': False, 'target_label': '225.4.e.c.76.2', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 35123300
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.49.4', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 35123301
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007886516617441, 'target_is_minimal': False, 'target_label': '225.4.k.c.49.3', 'target_level': 225, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 35123302
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594105038825, 'target_is_minimal': False, 'target_label': '2025.4.a.q.1.2', 'target_level': 2025, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 35123303
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503874572386349, 'source_is_minimal': True, 'source_label': '45.4.e.b.16.2', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793359779817, 'target_is_minimal': False, 'target_label': '2025.4.a.s.1.2', 'target_level': 2025, 'twist_class_label': '45.4.e.b.16.2', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 150450
{'charpoly_factorization': [[[9, -51, 292, 11, 18, -1, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 2}
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id: 150451
{'charpoly_factorization': [[[19683, -6561, 324, 81, 12, -9, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 3}
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id: 150452
{'charpoly_factorization': [[[25, 5, 1], 3]], 'hecke_orbit_code': 4503874572386349, 'p': 5}
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id: 150453
{'charpoly_factorization': [[[28483569, 1040715, 267516, -19059, 1654, -43, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 7}
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id: 150454
{'charpoly_factorization': [[[1896428304, -122631168, 7320184, -126520, 3012, 14, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 11}
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id: 150455
{'charpoly_factorization': [[[5679732496, 184792528, 9026864, 52648, 4052, 40, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 13}
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id: 150456
{'charpoly_factorization': [[[156324, 8920, 166, 1], 2]], 'hecke_orbit_code': 4503874572386349, 'p': 17}
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id: 150457
{'charpoly_factorization': [[[57316, 7292, 164, 1], 2]], 'hecke_orbit_code': 4503874572386349, 'p': 19}
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id: 150458
{'charpoly_factorization': [[[3746541681, 295823097, 33824628, -704025, 34074, 171, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 23}
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id: 150459
{'charpoly_factorization': [[[11463342489, 2926248177, 782851006, -9370019, 84894, -335, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 29}
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id: 150460
{'charpoly_factorization': [[[97238137683600, -137382616080, 3665151504, -14817816, 137836, -352, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 31}
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id: 150461
{'charpoly_factorization': [[[3335284, 24708, -402, 1], 2]], 'hecke_orbit_code': 4503874572386349, 'p': 37}
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id: 150462
{'charpoly_factorization': [[[52247959475625, 322359380175, 3340579834, 6116911, 79566, 187, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 41}
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id: 150463
{'charpoly_factorization': [[[238533321586576, 153765680944, 9396725384, -36882560, 352448, -602, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 43}
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id: 150464
{'charpoly_factorization': [[[6187571675289, 237009867723, 7424292766, 58386899, 346944, 665, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 47}
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id: 150465
{'charpoly_factorization': [[[3250536, 106300, 730, 1], 2]], 'hecke_orbit_code': 4503874572386349, 'p': 53}
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id: 150466
{'charpoly_factorization': [[[16224618881802816, -45173097261024, 163730383744, -149067880, 443448, -298, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 59}
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id: 150467
{'charpoly_factorization': [[[3092861048569009, -32773423076579, 267254918066, -736785779, 1481414, -1439, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 61}
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id: 150468
{'charpoly_factorization': [[[43587484566793281, -228333683246643, 810102262338, -1604656455, 2325124, -1849, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 67}
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id: 150469
{'charpoly_factorization': [[[223775052, -685460, -70, 1], 2]], 'hecke_orbit_code': 4503874572386349, 'p': 71}
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id: 150470
{'charpoly_factorization': [[[-134927744, -372928, 368, 1], 2]], 'hecke_orbit_code': 4503874572386349, 'p': 73}
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id: 150471
{'charpoly_factorization': [[[19133137244437056, -53658650075616, 203324256864, -128458200, 533848, -382, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 79}
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id: 150472
{'charpoly_factorization': [[[913637410143880041, -1109708868397833, 2142164521980, -946919079, 1851534, -831, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 83}
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id: 150473
{'charpoly_factorization': [[[125506395, 238491, -1719, 1], 2]], 'hecke_orbit_code': 4503874572386349, 'p': 89}
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id: 150474
{'charpoly_factorization': [[[285551326213696, -1143471728352, 9344268672, -14714152, 147192, -282, 1], 1]], 'hecke_orbit_code': 4503874572386349, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '45.4.e.b', 'level': 45, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 85949000
{'hecke_orbit_code': 4503874572386349, 'n': 1, 'trace_an': 6}
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id: 85949001
{'hecke_orbit_code': 4503874572386349, 'n': 2, 'trace_an': 1}
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id: 85949002
{'hecke_orbit_code': 4503874572386349, 'n': 3, 'trace_an': 9}
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id: 85949003
{'hecke_orbit_code': 4503874572386349, 'n': 4, 'trace_an': -11}
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id: 85949004
{'hecke_orbit_code': 4503874572386349, 'n': 5, 'trace_an': -15}
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id: 85949005
{'hecke_orbit_code': 4503874572386349, 'n': 6, 'trace_an': 84}
-
id: 85949006
{'hecke_orbit_code': 4503874572386349, 'n': 7, 'trace_an': 43}
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id: 85949007
{'hecke_orbit_code': 4503874572386349, 'n': 8, 'trace_an': -54}
-
id: 85949008
{'hecke_orbit_code': 4503874572386349, 'n': 9, 'trace_an': 57}
-
id: 85949009
{'hecke_orbit_code': 4503874572386349, 'n': 10, 'trace_an': -10}
-
id: 85949010
{'hecke_orbit_code': 4503874572386349, 'n': 11, 'trace_an': -14}
-
id: 85949011
{'hecke_orbit_code': 4503874572386349, 'n': 12, 'trace_an': 75}
-
id: 85949012
{'hecke_orbit_code': 4503874572386349, 'n': 13, 'trace_an': -40}
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id: 85949013
{'hecke_orbit_code': 4503874572386349, 'n': 14, 'trace_an': 27}
-
id: 85949014
{'hecke_orbit_code': 4503874572386349, 'n': 15, 'trace_an': -15}
-
id: 85949015
{'hecke_orbit_code': 4503874572386349, 'n': 16, 'trace_an': 13}
-
id: 85949016
{'hecke_orbit_code': 4503874572386349, 'n': 17, 'trace_an': -332}
-
id: 85949017
{'hecke_orbit_code': 4503874572386349, 'n': 18, 'trace_an': 3}
-
id: 85949018
{'hecke_orbit_code': 4503874572386349, 'n': 19, 'trace_an': -328}
-
id: 85949019
{'hecke_orbit_code': 4503874572386349, 'n': 20, 'trace_an': -55}
-
id: 85949020
{'hecke_orbit_code': 4503874572386349, 'n': 21, 'trace_an': -144}
-
id: 85949021
{'hecke_orbit_code': 4503874572386349, 'n': 22, 'trace_an': 376}
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id: 85949022
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{'hecke_orbit_code': 4503874572386349, 'n': 1000, 'trace_an': -6750}