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mf_newforms • Show schema
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{'Nk2': 3332, 'analytic_conductor': 6.651538488372656, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [833, 3, [52, 785], [2, 3]], 'cm_discs': [], 'conrey_index': 18, 'conrey_indexes': [18, 324], 'dim': 10, 'field_disc': -50030821665243, 'field_disc_factorization': [[-1, 1], [3, 5], [311, 2], [1459, 2]], 'field_poly': [9, -3, 31, -20, 99, -49, 44, -10, 9, -2, 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, [289, 238, 434, 76, 274, 73, 78, 12, 12, 2, 1]], [3, [144, -372, 817, -636, 509, -4, 114, 2, 15, 2, 1]], [5, [31684, -23318, 20365, -5830, 3337, -592, 398, -36, 23, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472303055681, 'hecke_ring_generator_nbound': 3, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '833.2.e.h', 'level': 833, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 17], 'level_radical': 119, 'minimal_twist': '119.2.a.b', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{4}q^{2}+(\\beta _{3}-\\beta _{7}-\\beta _{8})q^{3}+(\\beta _{3}+2\\beta _{5}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '833.2.e', 'trace_display': [-2, -2, 0, 0], 'trace_hash': 790583685119481115, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3332, 'analytic_conductor': 6.651538488372656, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [833, 3, [52, 785], [2, 3]], 'conrey_index': 18, 'cusp_dim': 152, 'dim': 108, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 5], 'hecke_orbit_code': 274911462209, 'hecke_orbit_dims': [2, 2, 6, 8, 8, 8, 8, 10, 10, 14, 16, 16], 'label': '833.2.e', 'level': 833, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 17], 'level_radical': 119, 'mf_dim': 184, 'mf_new_dim': 108, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 168, 'trace_bound': 5, 'trace_display': [4, 2, 4, 0], 'traces': [108, 4, 2, -52, 4, 0, 0, -12, -60, -6, 4, 4, 16, 0, -24, -32, 4, 32, -6, -48, 0, -40, 32, 0, -62, -8, -16, 0, -24, 32, 6, 36, -26, -8, 0, 112, -18, -30, -20, -32, 12, 0, 36, 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mf_twists_cc • Show schema
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id: 46268057
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 18, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525472303055681, 'target_is_minimal': False, 'target_label': '833.2.e.h.18.3', 'target_level': 833, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46268058
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 324, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525472303055681, 'target_is_minimal': False, 'target_label': '833.2.e.h.324.3', 'target_level': 833, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46268059
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503599660925047, 'target_is_minimal': True, 'target_label': '119.2.a.b.1.3', 'target_level': 119, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46268060
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597797778241, 'target_is_minimal': False, 'target_label': '833.2.a.g.1.3', 'target_level': 833, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46268061
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 324, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029071930426177, 'target_is_minimal': False, 'target_label': '833.2.e.i.324.3', 'target_level': 833, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46268062
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 18, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029071930426177, 'target_is_minimal': False, 'target_label': '833.2.e.i.18.3', 'target_level': 833, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46268063
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010493257, 'target_is_minimal': False, 'target_label': '7497.2.a.br.1.3', 'target_level': 7497, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46268064
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562001455, 'target_is_minimal': False, 'target_label': '1071.2.a.m.1.3', 'target_level': 1071, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46268065
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953595760, 'target_is_minimal': False, 'target_label': '1904.2.a.t.1.2', 'target_level': 1904, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46268066
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562003359, 'target_is_minimal': False, 'target_label': '2975.2.a.m.1.3', 'target_level': 2975, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 46268067
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 189151184383122880, 'target_is_minimal': False, 'target_label': '7616.2.a.bq.1.4', 'target_level': 7616, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46268068
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265234368, 'target_is_minimal': False, 'target_label': '7616.2.a.bt.1.2', 'target_level': 7616, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '56.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 46268069
{'conductor': 119, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 18, 'source_dim': 10, 'source_embedding_index': 3, 'source_hecke_orbit_code': 31525472303055681, 'source_is_minimal': False, 'source_label': '833.2.e.h.18.3', 'source_level': 833, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679890919, 'target_is_minimal': False, 'target_label': '2023.2.a.j.1.3', 'target_level': 2023, 'twist_class_label': '119.2.a.b.1.3', 'twist_class_level': 119, 'twisting_char_label': '119.101', 'twisting_conrey_index': 101, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1388450
{'charpoly_factorization': [[[289, 238, 434, 76, 274, 73, 78, 12, 12, 2, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 2}
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id: 1388451
{'charpoly_factorization': [[[144, -372, 817, -636, 509, -4, 114, 2, 15, 2, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 3}
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id: 1388452
{'charpoly_factorization': [[[31684, -23318, 20365, -5830, 3337, -592, 398, -36, 23, 0, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 5}
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id: 1388453
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 31525472303055681, 'p': 7}
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id: 1388454
{'charpoly_factorization': [[[36864, 95232, 238336, 36736, 23808, 416, 1520, 8, 48, -2, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 11}
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id: 1388455
{'charpoly_factorization': [[[544, 352, -56, -40, 2, 1], 2]], 'hecke_orbit_code': 31525472303055681, 'p': 13}
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id: 1388456
{'charpoly_factorization': [[[1, -1, 1], 5]], 'hecke_orbit_code': 31525472303055681, 'p': 17}
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id: 1388457
{'charpoly_factorization': [[[4096, -3072, 5888, 1152, 3328, -160, 432, -40, 48, -6, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 19}
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id: 1388458
{'charpoly_factorization': [[[16384, 34816, 55552, 41216, 24192, 4416, 1232, -208, 108, -10, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 23}
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id: 1388459
{'charpoly_factorization': [[[2592, 1216, -464, -72, 8, 1], 2]], 'hecke_orbit_code': 31525472303055681, 'p': 29}
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id: 1388460
{'charpoly_factorization': [[[256, 1232, 4425, 6182, 6295, 3086, 1166, 188, 33, 0, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 31}
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id: 1388461
{'charpoly_factorization': [[[19219456, -15712256, 10951168, -2460160, 594432, -16800, 10688, 32, 168, 8, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 37}
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id: 1388462
{'charpoly_factorization': [[[-162, -137, 64, 79, 18, 1], 2]], 'hecke_orbit_code': 31525472303055681, 'p': 41}
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id: 1388463
{'charpoly_factorization': [[[-1052, 157, 216, -31, -8, 1], 2]], 'hecke_orbit_code': 31525472303055681, 'p': 43}
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id: 1388464
{'charpoly_factorization': [[[5308416, 6230016, 5431552, 1985280, 559104, 90944, 13168, 1152, 148, 10, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 47}
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id: 1388465
{'charpoly_factorization': [[[19044, -41538, 80113, -31984, 16261, -38, 1092, 20, 49, 4, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 53}
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id: 1388466
{'charpoly_factorization': [[[9437184, -786432, 2031616, -327680, 405504, -50176, 11264, -640, 144, -8, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 59}
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id: 1388467
{'charpoly_factorization': [[[30713764, -13173334, 5871809, -1489932, 463435, -104766, 21946, -3066, 341, -22, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 61}
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id: 1388468
{'charpoly_factorization': [[[3489424, 3263396, 2484137, 714152, 207907, 39140, 9012, 1392, 207, 16, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 67}
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id: 1388469
{'charpoly_factorization': [[[13696, 7472, -872, -236, 2, 1], 2]], 'hecke_orbit_code': 31525472303055681, 'p': 71}
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id: 1388470
{'charpoly_factorization': [[[123609924, 46884606, 42376105, -13263776, 4035355, -486982, 57666, -2654, 277, -10, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 73}
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id: 1388471
{'charpoly_factorization': [[[9437184, 8208384, 5468416, 1699328, 458112, 71360, 14064, 1808, 284, 18, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 79}
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id: 1388472
{'charpoly_factorization': [[[-1984, -1872, 952, -64, -12, 1], 2]], 'hecke_orbit_code': 31525472303055681, 'p': 83}
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id: 1388473
{'charpoly_factorization': [[[55591936, -105815552, 174929152, -48918784, 11346624, -915424, 95232, -5104, 500, -20, 1], 1]], 'hecke_orbit_code': 31525472303055681, 'p': 89}
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id: 1388474
{'charpoly_factorization': [[[-218, 2163, -2766, -239, 12, 1], 2]], 'hecke_orbit_code': 31525472303055681, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '833.2.e.h', 'level': 833, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 193412000
{'hecke_orbit_code': 31525472303055681, 'n': 1, 'trace_an': 10}
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id: 193412001
{'hecke_orbit_code': 31525472303055681, 'n': 2, 'trace_an': -2}
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id: 193412002
{'hecke_orbit_code': 31525472303055681, 'n': 3, 'trace_an': -2}
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id: 193412003
{'hecke_orbit_code': 31525472303055681, 'n': 4, 'trace_an': -10}
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id: 193412004
{'hecke_orbit_code': 31525472303055681, 'n': 5, 'trace_an': 0}
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id: 193412005
{'hecke_orbit_code': 31525472303055681, 'n': 6, 'trace_an': 2}
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id: 193412006
{'hecke_orbit_code': 31525472303055681, 'n': 7, 'trace_an': 0}
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id: 193412007
{'hecke_orbit_code': 31525472303055681, 'n': 8, 'trace_an': 12}
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id: 193412008
{'hecke_orbit_code': 31525472303055681, 'n': 9, 'trace_an': -11}
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id: 193412009
{'hecke_orbit_code': 31525472303055681, 'n': 10, 'trace_an': 4}
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id: 193412010
{'hecke_orbit_code': 31525472303055681, 'n': 11, 'trace_an': 2}
-
id: 193412011
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