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mf_newforms • Show schema
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{'Nk2': 16560, 'analytic_conductor': 33.05806643681008, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [4140, 2, [2071, 461, 1657, 3961], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 829, 'conrey_indexes': [829], 'dim': 12, 'field_disc': 5262531724467306496, 'field_disc_factorization': [[2, 16], [8961019, 2]], 'field_poly': [1, 0, 80, 0, 508, 0, 530, 0, 188, 0, 24, 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': [[7, [82944, 0, 139536, 0, 68992, 0, 14312, 0, 1380, 0, 61, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258312748, 'hecke_ring_generator_nbound': 23, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4140.2.f.b', 'level': 4140, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '460.2.c.a', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{8}q^{5}+(\\beta _{1}+\\beta _{6}-\\beta _{10})q^{7}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4140.2.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1000779806399996353, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
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{'Nk2': 16560, 'analytic_conductor': 33.05806643681008, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [4140, 2, [2071, 461, 1657, 3961], [2, 2, 1, 2]], 'conrey_index': 829, 'cusp_dim': 840, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 343630942252, 'hecke_orbit_dims': [6, 12, 14, 24], 'label': '4140.2.f', 'level': 4140, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 888, 'mf_new_dim': 56, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 56, 'sturm_bound': 1728, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 22, 0, -14, 0, 0, 0, 22, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 35264640
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 829, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4503943258312748, 'target_is_minimal': False, 'target_label': '4140.2.f.b.829.8', 'target_level': 4140, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35264641
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 369, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137472508364, 'target_is_minimal': True, 'target_label': '460.2.c.a.369.3', 'target_level': 460, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35264642
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 829, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4503943258312748, 'target_is_minimal': False, 'target_label': '4140.2.f.b.829.7', 'target_level': 4140, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35264643
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 369, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 22518273048315696, 'target_is_minimal': False, 'target_label': '1840.2.e.f.369.10', 'target_level': 1840, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35264644
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816743676, 'target_is_minimal': False, 'target_label': '2300.2.a.o.1.1', 'target_level': 2300, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35264645
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 58546795189373180, 'target_is_minimal': False, 'target_label': '2300.2.a.n.1.6', 'target_level': 2300, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35264646
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 369, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 137472508364, 'target_is_minimal': True, 'target_label': '460.2.c.a.369.10', 'target_level': 460, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35264647
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 342273571713721328, 'target_is_minimal': False, 'target_label': '9200.2.a.cy.1.1', 'target_level': 9200, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35264648
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 337769972086350832, 'target_is_minimal': False, 'target_label': '9200.2.a.cx.1.6', 'target_level': 9200, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35264649
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 829, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 4503943258312748, 'source_is_minimal': False, 'source_label': '4140.2.f.b.829.8', 'source_level': 4140, 'target_conrey_index': 369, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518273048315696, 'target_is_minimal': False, 'target_label': '1840.2.e.f.369.3', 'target_level': 1840, 'twist_class_label': '460.2.c.a.369.3', 'twist_class_level': 460, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3510050
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503943258312748, 'p': 2}
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id: 3510051
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503943258312748, 'p': 3}
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id: 3510052
{'charpoly_factorization': [[[15625, 0, -2500, -1500, 1075, -60, -48, -12, 43, -12, -4, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 5}
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id: 3510053
{'charpoly_factorization': [[[82944, 0, 139536, 0, 68992, 0, 14312, 0, 1380, 0, 61, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 7}
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id: 3510054
{'charpoly_factorization': [[[-256, 144, 212, -28, -32, 2, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 11}
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id: 3510055
{'charpoly_factorization': [[[1401856, 0, 1726756, 0, 551105, 0, 70560, 0, 4126, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 13}
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id: 3510056
{'charpoly_factorization': [[[256, 0, 2448, 0, 4384, 0, 2620, 0, 628, 0, 57, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 17}
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id: 3510057
{'charpoly_factorization': [[[256, 848, 236, -140, -42, 4, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 19}
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id: 3510058
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 4503943258312748, 'p': 23}
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id: 3510059
{'charpoly_factorization': [[[11862, -9453, 1229, 450, -84, -5, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 29}
-
id: 3510060
{'charpoly_factorization': [[[916, 1987, -2651, 838, -58, -9, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 31}
-
id: 3510061
{'charpoly_factorization': [[[3996262656, 0, 1041449616, 0, 90354016, 0, 3059272, 0, 48220, 0, 357, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 37}
-
id: 3510062
{'charpoly_factorization': [[[-2, -477, 257, 158, -64, -1, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 41}
-
id: 3510063
{'charpoly_factorization': [[[8399355904, 0, 1503406336, 0, 96250128, 0, 2919296, 0, 44988, 0, 340, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 43}
-
id: 3510064
{'charpoly_factorization': [[[215296, 0, 2925732, 0, 6778057, 0, 585160, 0, 17974, 0, 228, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 47}
-
id: 3510065
{'charpoly_factorization': [[[149426176, 0, 94470400, 0, 17572096, 0, 1019104, 0, 25232, 0, 273, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 53}
-
id: 3510066
{'charpoly_factorization': [[[-360576, 63024, 12832, -1692, -188, 11, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 59}
-
id: 3510067
{'charpoly_factorization': [[[-171088, 10976, 10996, -532, -198, 4, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 61}
-
id: 3510068
{'charpoly_factorization': [[[55115776, 0, 103780240, 0, 40158752, 0, 2163464, 0, 41820, 0, 341, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 67}
-
id: 3510069
{'charpoly_factorization': [[[-16108, -20769, 569, 1570, -62, -17, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 71}
-
id: 3510070
{'charpoly_factorization': [[[30294016, 0, 238969152, 0, 74655361, 0, 3161400, 0, 51998, 0, 376, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 73}
-
id: 3510071
{'charpoly_factorization': [[[-128, 584, 84, -208, -10, 10, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 79}
-
id: 3510072
{'charpoly_factorization': [[[401124622336, 0, 40997671440, 0, 1542179872, 0, 26507740, 0, 215860, 0, 777, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 83}
-
id: 3510073
{'charpoly_factorization': [[[180432, 167568, -3212, -5172, -142, 24, 1], 2]], 'hecke_orbit_code': 4503943258312748, 'p': 89}
-
id: 3510074
{'charpoly_factorization': [[[2091049984, 0, 1007200576, 0, 153522128, 0, 8110928, 0, 146088, 0, 704, 0, 1], 1]], 'hecke_orbit_code': 4503943258312748, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '4140.2.f.b', 'level': 4140, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 87126000
{'hecke_orbit_code': 4503943258312748, 'n': 1, 'trace_an': 12}
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id: 87126001
{'hecke_orbit_code': 4503943258312748, 'n': 2, 'trace_an': 0}
-
id: 87126002
{'hecke_orbit_code': 4503943258312748, 'n': 3, 'trace_an': 0}
-
id: 87126003
{'hecke_orbit_code': 4503943258312748, 'n': 4, 'trace_an': 0}
-
id: 87126004
{'hecke_orbit_code': 4503943258312748, 'n': 5, 'trace_an': 0}
-
id: 87126005
{'hecke_orbit_code': 4503943258312748, 'n': 6, 'trace_an': 0}
-
id: 87126006
{'hecke_orbit_code': 4503943258312748, 'n': 7, 'trace_an': 0}
-
id: 87126007
{'hecke_orbit_code': 4503943258312748, 'n': 8, 'trace_an': 0}
-
id: 87126008
{'hecke_orbit_code': 4503943258312748, 'n': 9, 'trace_an': 0}
-
id: 87126009
{'hecke_orbit_code': 4503943258312748, 'n': 10, 'trace_an': 0}
-
id: 87126010
{'hecke_orbit_code': 4503943258312748, 'n': 11, 'trace_an': -4}
-
id: 87126011
{'hecke_orbit_code': 4503943258312748, 'n': 12, 'trace_an': 0}
-
id: 87126012
{'hecke_orbit_code': 4503943258312748, 'n': 13, 'trace_an': 0}
-
id: 87126013
{'hecke_orbit_code': 4503943258312748, 'n': 14, 'trace_an': 0}
-
id: 87126014
{'hecke_orbit_code': 4503943258312748, 'n': 15, 'trace_an': 0}
-
id: 87126015
{'hecke_orbit_code': 4503943258312748, 'n': 16, 'trace_an': 0}
-
id: 87126016
{'hecke_orbit_code': 4503943258312748, 'n': 17, 'trace_an': 0}
-
id: 87126017
{'hecke_orbit_code': 4503943258312748, 'n': 18, 'trace_an': 0}
-
id: 87126018
{'hecke_orbit_code': 4503943258312748, 'n': 19, 'trace_an': -8}
-
id: 87126019
{'hecke_orbit_code': 4503943258312748, 'n': 20, 'trace_an': 0}
-
id: 87126020
{'hecke_orbit_code': 4503943258312748, 'n': 21, 'trace_an': 0}
-
id: 87126021
{'hecke_orbit_code': 4503943258312748, 'n': 22, 'trace_an': 0}
-
id: 87126022
{'hecke_orbit_code': 4503943258312748, 'n': 23, 'trace_an': 0}
-
id: 87126023
{'hecke_orbit_code': 4503943258312748, 'n': 24, 'trace_an': 0}
-
id: 87126024
{'hecke_orbit_code': 4503943258312748, 'n': 25, 'trace_an': 8}
-
id: 87126025
{'hecke_orbit_code': 4503943258312748, 'n': 26, 'trace_an': 0}
-
id: 87126026
{'hecke_orbit_code': 4503943258312748, 'n': 27, 'trace_an': 0}
-
id: 87126027
{'hecke_orbit_code': 4503943258312748, 'n': 28, 'trace_an': 0}
-
id: 87126028
{'hecke_orbit_code': 4503943258312748, 'n': 29, 'trace_an': 10}
-
id: 87126029
{'hecke_orbit_code': 4503943258312748, 'n': 30, 'trace_an': 0}
-
id: 87126030
{'hecke_orbit_code': 4503943258312748, 'n': 31, 'trace_an': 18}
-
id: 87126031
{'hecke_orbit_code': 4503943258312748, 'n': 32, 'trace_an': 0}
-
id: 87126032
{'hecke_orbit_code': 4503943258312748, 'n': 33, 'trace_an': 0}
-
id: 87126033
{'hecke_orbit_code': 4503943258312748, 'n': 34, 'trace_an': 0}
-
id: 87126034
{'hecke_orbit_code': 4503943258312748, 'n': 35, 'trace_an': 10}
-
id: 87126035
{'hecke_orbit_code': 4503943258312748, 'n': 36, 'trace_an': 0}
-
id: 87126036
{'hecke_orbit_code': 4503943258312748, 'n': 37, 'trace_an': 0}
-
id: 87126037
{'hecke_orbit_code': 4503943258312748, 'n': 38, 'trace_an': 0}
-
id: 87126038
{'hecke_orbit_code': 4503943258312748, 'n': 39, 'trace_an': 0}
-
id: 87126039
{'hecke_orbit_code': 4503943258312748, 'n': 40, 'trace_an': 0}
-
id: 87126040
{'hecke_orbit_code': 4503943258312748, 'n': 41, 'trace_an': 2}
-
id: 87126041
{'hecke_orbit_code': 4503943258312748, 'n': 42, 'trace_an': 0}
-
id: 87126042
{'hecke_orbit_code': 4503943258312748, 'n': 43, 'trace_an': 0}
-
id: 87126043
{'hecke_orbit_code': 4503943258312748, 'n': 44, 'trace_an': 0}
-
id: 87126044
{'hecke_orbit_code': 4503943258312748, 'n': 45, 'trace_an': 0}
-
id: 87126045
{'hecke_orbit_code': 4503943258312748, 'n': 46, 'trace_an': 0}
-
id: 87126046
{'hecke_orbit_code': 4503943258312748, 'n': 47, 'trace_an': 0}
-
id: 87126047
{'hecke_orbit_code': 4503943258312748, 'n': 48, 'trace_an': 0}
-
id: 87126048
{'hecke_orbit_code': 4503943258312748, 'n': 49, 'trace_an': -38}
-
id: 87126049
{'hecke_orbit_code': 4503943258312748, 'n': 50, 'trace_an': 0}
-
id: 87126050
{'hecke_orbit_code': 4503943258312748, 'n': 51, 'trace_an': 0}
-
id: 87126051
{'hecke_orbit_code': 4503943258312748, 'n': 52, 'trace_an': 0}
-
id: 87126052
{'hecke_orbit_code': 4503943258312748, 'n': 53, 'trace_an': 0}
-
id: 87126053
{'hecke_orbit_code': 4503943258312748, 'n': 54, 'trace_an': 0}
-
id: 87126054
{'hecke_orbit_code': 4503943258312748, 'n': 55, 'trace_an': 16}
-
id: 87126055
{'hecke_orbit_code': 4503943258312748, 'n': 56, 'trace_an': 0}
-
id: 87126056
{'hecke_orbit_code': 4503943258312748, 'n': 57, 'trace_an': 0}
-
id: 87126057
{'hecke_orbit_code': 4503943258312748, 'n': 58, 'trace_an': 0}
-
id: 87126058
{'hecke_orbit_code': 4503943258312748, 'n': 59, 'trace_an': -22}
-
id: 87126059
{'hecke_orbit_code': 4503943258312748, 'n': 60, 'trace_an': 0}
-
id: 87126060
{'hecke_orbit_code': 4503943258312748, 'n': 61, 'trace_an': -8}
-
id: 87126061
{'hecke_orbit_code': 4503943258312748, 'n': 62, 'trace_an': 0}
-
id: 87126062
{'hecke_orbit_code': 4503943258312748, 'n': 63, 'trace_an': 0}
-
id: 87126063
{'hecke_orbit_code': 4503943258312748, 'n': 64, 'trace_an': 0}
-
id: 87126064
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