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mf_newforms • Show schema
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{'Nk2': 2156, 'analytic_conductor': 4.303936668947013, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 77, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 15, 'char_parity': 1, 'char_values': [539, 15, [199, 442], [10, 6]], 'cm_discs': [-7], 'conrey_index': 214, 'dim': 16, 'field_disc': 9234096523681640625, 'field_disc_factorization': [[3, 8], [5, 12], [7, 8]], 'field_poly': [256, -128, 128, -160, 80, 8, 24, 10, -21, 5, 6, 1, 5, -5, 2, -1, 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, [14641, 10648, -18029, 22132, 44786, -4896, -2801, -2744, -803, -164, 389, 64, 6, -18, 1, -2, 1]], [3, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511898427294235, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2156, 'analytic_conductor': 4.303936668947013, 'char_conductor': 77, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 15, 'char_parity': 1, 'char_values': [539, 15, [199, 442], [10, 6]], 'conrey_index': 214, 'cusp_dim': 384, 'dim': 288, 'eis_dim': 128, 'eis_new_dim': 64, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 1099545182747, 'hecke_orbit_dims': [8, 16, 16, 16, 32, 32, 32, 40, 96], 'label': '539.2.q', 'level': 539, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 512, 'mf_new_dim': 352, 'num_forms': 9, 'prim_orbit_index': 13, 'relative_dim': 36, 'sturm_bound': 112, 'trace_bound': 3, 'trace_display': [7, 3, 1, 0], 'traces': [288, 7, 3, 39, 1, 12, 0, 0, 19, -4, 9, 16, 4, 0, 0, 27, 11, -57, 7, 40, 0, -108, 2, 7, -15, 15, 6, 0, -84, 41, 9, 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mf_twists_cc • Show schema
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id: 43576646
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 361, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.361.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43576647
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 471, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.471.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43576648
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 295, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.295.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43576649
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 295, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.295.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43576650
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 471, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.471.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43576651
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 361, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.361.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43576652
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 214, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.214.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43576653
{'conductor': 77, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599934249, 'target_is_minimal': False, 'target_label': '5929.2.a.bc.1.1', 'target_level': 5929, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43576654
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 324, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.324.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43576655
{'conductor': 77, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 324, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.324.2', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 43576656
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 144115188109416233, 'target_is_minimal': False, 'target_label': '5929.2.a.bg.1.4', 'target_level': 5929, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 43576657
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 214, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294235, 'target_is_minimal': False, 'target_label': '539.2.q.d.214.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 43576658
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 148, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.148.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 43576659
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599934249, 'target_is_minimal': False, 'target_label': '5929.2.a.bc.1.1', 'target_level': 5929, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 43576660
{'conductor': 77, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 148, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679643, 'target_is_minimal': True, 'target_label': '539.2.f.c.148.1', 'target_level': 539, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.60', 'twisting_conrey_index': 60, 'weight': 2}
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id: 43576661
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511898427294235, 'source_is_minimal': False, 'source_label': '539.2.q.d.361.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 144115188109416233, 'target_is_minimal': False, 'target_label': '5929.2.a.bg.1.4', 'target_level': 5929, 'twist_class_label': '539.2.f.c.148.1', 'twist_class_level': 539, 'twisting_char_label': '77.73', 'twisting_conrey_index': 73, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1020825
{'charpoly_factorization': [[[14641, 10648, -18029, 22132, 44786, -4896, -2801, -2744, -803, -164, 389, 64, 6, -18, 1, -2, 1], 1]], 'hecke_orbit_code': 13511898427294235, 'p': 2}
-
id: 1020826
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 3}
-
id: 1020827
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 5}
-
id: 1020828
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 7}
-
id: 1020829
{'charpoly_factorization': [[[214358881, -77948684, 19487171, -10951468, 3982352, -1096744, 435237, -154088, 41391, -14008, 3597, -824, 272, -68, 11, -4, 1], 1]], 'hecke_orbit_code': 13511898427294235, 'p': 11}
-
id: 1020830
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 13}
-
id: 1020831
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 17}
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id: 1020832
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 19}
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id: 1020833
{'charpoly_factorization': [[[383161, -252552, 134895, -30712, 6484, -408, 115, -8, 1], 2]], 'hecke_orbit_code': 13511898427294235, 'p': 23}
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id: 1020834
{'charpoly_factorization': [[[13256881, -997634, 636597, 13468, 6750, -258, 12, 4, 1], 2]], 'hecke_orbit_code': 13511898427294235, 'p': 29}
-
id: 1020835
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 31}
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id: 1020836
{'charpoly_factorization': [[[4810832476321, 5106433931652, 3433303067076, 2508286035348, 987882480506, -182555540364, -3192042026, 3203671974, -159042273, -10208856, 144814, -72174, 21651, -402, 31, -18, 1], 1]], 'hecke_orbit_code': 13511898427294235, 'p': 37}
-
id: 1020837
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 41}
-
id: 1020838
{'charpoly_factorization': [[[-979, 852, -71, -12, 1], 4]], 'hecke_orbit_code': 13511898427294235, 'p': 43}
-
id: 1020839
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 47}
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id: 1020840
{'charpoly_factorization': [[[36325030350625, -34031596662500, 18433655962500, -9510109032500, 3203096680250, 6469587500, -84864674250, 10751670250, 437028575, -126833000, 5619150, -540450, 75635, -4350, 335, -30, 1], 1]], 'hecke_orbit_code': 13511898427294235, 'p': 53}
-
id: 1020841
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 59}
-
id: 1020842
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 61}
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id: 1020843
{'charpoly_factorization': [[[300710281, 22127116, 7159955, -268316, 89524, -1276, 335, -4, 1], 2]], 'hecke_orbit_code': 13511898427294235, 'p': 67}
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id: 1020844
{'charpoly_factorization': [[[19321, 128992, 2437888, -804336, 141290, -15456, 1123, -48, 1], 2]], 'hecke_orbit_code': 13511898427294235, 'p': 71}
-
id: 1020845
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 73}
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id: 1020846
{'charpoly_factorization': [[[10084264970634481, -4814202536624624, 1465341501980224, -514023436563824, 87773393959046, 13900155774448, 53830060006, -88256471752, -3539740853, 69955872, -2115374, 380712, 92911, 424, -11, 24, 1], 1]], 'hecke_orbit_code': 13511898427294235, 'p': 79}
-
id: 1020847
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 83}
-
id: 1020848
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 89}
-
id: 1020849
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13511898427294235, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 4, 'label': '539.2.q.d', 'level': 539, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 37400173
{'hecke_orbit_code': 13511898427294235, 'n': 1, 'trace_an': 16}
-
id: 37400174
{'hecke_orbit_code': 13511898427294235, 'n': 2, 'trace_an': 2}
-
id: 37400175
{'hecke_orbit_code': 13511898427294235, 'n': 3, 'trace_an': 0}
-
id: 37400176
{'hecke_orbit_code': 13511898427294235, 'n': 4, 'trace_an': -2}
-
id: 37400177
{'hecke_orbit_code': 13511898427294235, 'n': 5, 'trace_an': 0}
-
id: 37400178
{'hecke_orbit_code': 13511898427294235, 'n': 6, 'trace_an': 0}
-
id: 37400179
{'hecke_orbit_code': 13511898427294235, 'n': 7, 'trace_an': 0}
-
id: 37400180
{'hecke_orbit_code': 13511898427294235, 'n': 8, 'trace_an': 32}
-
id: 37400181
{'hecke_orbit_code': 13511898427294235, 'n': 9, 'trace_an': -6}
-
id: 37400182
{'hecke_orbit_code': 13511898427294235, 'n': 10, 'trace_an': 0}
-
id: 37400183
{'hecke_orbit_code': 13511898427294235, 'n': 11, 'trace_an': 4}
-
id: 37400184
{'hecke_orbit_code': 13511898427294235, 'n': 12, 'trace_an': 0}
-
id: 37400185
{'hecke_orbit_code': 13511898427294235, 'n': 13, 'trace_an': 0}
-
id: 37400186
{'hecke_orbit_code': 13511898427294235, 'n': 14, 'trace_an': 0}
-
id: 37400187
{'hecke_orbit_code': 13511898427294235, 'n': 15, 'trace_an': 0}
-
id: 37400188
{'hecke_orbit_code': 13511898427294235, 'n': 16, 'trace_an': 28}
-
id: 37400189
{'hecke_orbit_code': 13511898427294235, 'n': 17, 'trace_an': 0}
-
id: 37400190
{'hecke_orbit_code': 13511898427294235, 'n': 18, 'trace_an': 9}
-
id: 37400191
{'hecke_orbit_code': 13511898427294235, 'n': 19, 'trace_an': 0}
-
id: 37400192
{'hecke_orbit_code': 13511898427294235, 'n': 20, 'trace_an': 0}
-
id: 37400193
{'hecke_orbit_code': 13511898427294235, 'n': 21, 'trace_an': 0}
-
id: 37400194
{'hecke_orbit_code': 13511898427294235, 'n': 22, 'trace_an': -8}
-
id: 37400195
{'hecke_orbit_code': 13511898427294235, 'n': 23, 'trace_an': 16}
-
id: 37400196
{'hecke_orbit_code': 13511898427294235, 'n': 24, 'trace_an': 0}
-
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