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mf_newforms • Show schema
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{'Nk2': 105840, 'analytic_conductor': 211.2841637483079, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [7, -1]], 'atkin_lehner_string': '-+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [26460, 1, [13231, 16661, 15877, 1081], [32, 32, 32, 32]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482066268, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '26460.2.a.bf', 'level': 26460, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+4q^{11}-6q^{13}-2q^{17}-3q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/26460/bf'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '26460.2.a', 'trace_display': [0, 0, 1, 0], 'traces': [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, -6, 0, 0, 0, -2, 0, -3, 0, 0, 0, -6, 0, 1, 0, 0, 0, -6, 0, -5, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 1, 0, 0, 0, 10, 0, 0, 0, 0, 0, -14, 0, 4, 0, 0, 0, -4, 0, 5, 0, 0, 0, -6, 0, -12, 0, 0, 0, -4, 0, 7, 0, 0, 0, 0, 0, 4, 0, 0, 0, 16, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -3, 0, 19, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 26460.2.a.bf does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 26, 29, 26, 29, 27, 27, 27, 27], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [353, 379, 380, 353, 376, 355, 356, 377, 342, 348, 350, 338, 353, 338, 337, 352], 'Nk2': 105840, 'analytic_conductor': 211.2841637483079, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [26460, 1, [13231, 16661, 15877, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5905, 'dim': 218, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33580892, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8], 'label': '26460.2.a', 'level': 26460, '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': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 6192, 'mf_new_dim': 218, 'num_forms': 80, 'plus_dim': 109, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 12096, 'trace_display': [0, 0, 0, 0], 'traces': [218, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 218, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 226, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -202, 0, 0, 0, 0, 0, -130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -266, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, -142, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 358, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 218, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -374, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 226, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -242, 0, 0, 0, 0, 0, -294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 214, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 282, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 422, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -202, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, -206, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -310, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 354, 0, 0, 0, 0, 0, 146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -72, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 26460.2.a.bf does not appear in mf_twists_nf
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hecke_orbit_code 139611588482066268 does not appear in mf_hecke_charpolys
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label 26460.2.a.bf does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 165584442
{'hecke_orbit_code': 139611588482066268, 'n': 1, 'trace_an': 1}
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id: 165584443
{'hecke_orbit_code': 139611588482066268, 'n': 2, 'trace_an': 0}
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id: 165584444
{'hecke_orbit_code': 139611588482066268, 'n': 3, 'trace_an': 0}
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id: 165584445
{'hecke_orbit_code': 139611588482066268, 'n': 4, 'trace_an': 0}
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id: 165584446
{'hecke_orbit_code': 139611588482066268, 'n': 5, 'trace_an': 1}
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id: 165584447
{'hecke_orbit_code': 139611588482066268, 'n': 6, 'trace_an': 0}
-
id: 165584448
{'hecke_orbit_code': 139611588482066268, 'n': 7, 'trace_an': 0}
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id: 165584449
{'hecke_orbit_code': 139611588482066268, 'n': 8, 'trace_an': 0}
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id: 165584450
{'hecke_orbit_code': 139611588482066268, 'n': 9, 'trace_an': 0}
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id: 165584451
{'hecke_orbit_code': 139611588482066268, 'n': 10, 'trace_an': 0}
-
id: 165584452
{'hecke_orbit_code': 139611588482066268, 'n': 11, 'trace_an': 4}
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id: 165584453
{'hecke_orbit_code': 139611588482066268, 'n': 12, 'trace_an': 0}
-
id: 165584454
{'hecke_orbit_code': 139611588482066268, 'n': 13, 'trace_an': -6}
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id: 165584455
{'hecke_orbit_code': 139611588482066268, 'n': 14, 'trace_an': 0}
-
id: 165584456
{'hecke_orbit_code': 139611588482066268, 'n': 15, 'trace_an': 0}
-
id: 165584457
{'hecke_orbit_code': 139611588482066268, 'n': 16, 'trace_an': 0}
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id: 165584458
{'hecke_orbit_code': 139611588482066268, 'n': 17, 'trace_an': -2}
-
id: 165584459
{'hecke_orbit_code': 139611588482066268, 'n': 18, 'trace_an': 0}
-
id: 165584460
{'hecke_orbit_code': 139611588482066268, 'n': 19, 'trace_an': -3}
-
id: 165584461
{'hecke_orbit_code': 139611588482066268, 'n': 20, 'trace_an': 0}
-
id: 165584462
{'hecke_orbit_code': 139611588482066268, 'n': 21, 'trace_an': 0}
-
id: 165584463
{'hecke_orbit_code': 139611588482066268, 'n': 22, 'trace_an': 0}
-
id: 165584464
{'hecke_orbit_code': 139611588482066268, 'n': 23, 'trace_an': -6}
-
id: 165584465
{'hecke_orbit_code': 139611588482066268, 'n': 24, 'trace_an': 0}
-
id: 165584466
{'hecke_orbit_code': 139611588482066268, 'n': 25, 'trace_an': 1}
-
id: 165584467
{'hecke_orbit_code': 139611588482066268, 'n': 26, 'trace_an': 0}
-
id: 165584468
{'hecke_orbit_code': 139611588482066268, 'n': 27, 'trace_an': 0}
-
id: 165584469
{'hecke_orbit_code': 139611588482066268, 'n': 28, 'trace_an': 0}
-
id: 165584470
{'hecke_orbit_code': 139611588482066268, 'n': 29, 'trace_an': -6}
-
id: 165584471
{'hecke_orbit_code': 139611588482066268, 'n': 30, 'trace_an': 0}
-
id: 165584472
{'hecke_orbit_code': 139611588482066268, 'n': 31, 'trace_an': -5}
-
id: 165584473
{'hecke_orbit_code': 139611588482066268, 'n': 32, 'trace_an': 0}
-
id: 165584474
{'hecke_orbit_code': 139611588482066268, 'n': 33, 'trace_an': 0}
-
id: 165584475
{'hecke_orbit_code': 139611588482066268, 'n': 34, 'trace_an': 0}
-
id: 165584476
{'hecke_orbit_code': 139611588482066268, 'n': 35, 'trace_an': 0}
-
id: 165584477
{'hecke_orbit_code': 139611588482066268, 'n': 36, 'trace_an': 0}
-
id: 165584478
{'hecke_orbit_code': 139611588482066268, 'n': 37, 'trace_an': 2}
-
id: 165584479
{'hecke_orbit_code': 139611588482066268, 'n': 38, 'trace_an': 0}
-
id: 165584480
{'hecke_orbit_code': 139611588482066268, 'n': 39, 'trace_an': 0}
-
id: 165584481
{'hecke_orbit_code': 139611588482066268, 'n': 40, 'trace_an': 0}
-
id: 165584482
{'hecke_orbit_code': 139611588482066268, 'n': 41, 'trace_an': -2}
-
id: 165584483
{'hecke_orbit_code': 139611588482066268, 'n': 42, 'trace_an': 0}
-
id: 165584484
{'hecke_orbit_code': 139611588482066268, 'n': 43, 'trace_an': 1}
-
id: 165584485
{'hecke_orbit_code': 139611588482066268, 'n': 44, 'trace_an': 0}
-
id: 165584486
{'hecke_orbit_code': 139611588482066268, 'n': 45, 'trace_an': 0}
-
id: 165584487
{'hecke_orbit_code': 139611588482066268, 'n': 46, 'trace_an': 0}
-
id: 165584488
{'hecke_orbit_code': 139611588482066268, 'n': 47, 'trace_an': 10}
-
id: 165584489
{'hecke_orbit_code': 139611588482066268, 'n': 48, 'trace_an': 0}
-
id: 165584490
{'hecke_orbit_code': 139611588482066268, 'n': 49, 'trace_an': 0}
-
id: 165584491
{'hecke_orbit_code': 139611588482066268, 'n': 50, 'trace_an': 0}
-
id: 165584492
{'hecke_orbit_code': 139611588482066268, 'n': 51, 'trace_an': 0}
-
id: 165584493
{'hecke_orbit_code': 139611588482066268, 'n': 52, 'trace_an': 0}
-
id: 165584494
{'hecke_orbit_code': 139611588482066268, 'n': 53, 'trace_an': -14}
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id: 165584495
{'hecke_orbit_code': 139611588482066268, 'n': 54, 'trace_an': 0}
-
id: 165584496
{'hecke_orbit_code': 139611588482066268, 'n': 55, 'trace_an': 4}
-
id: 165584497
{'hecke_orbit_code': 139611588482066268, 'n': 56, 'trace_an': 0}
-
id: 165584498
{'hecke_orbit_code': 139611588482066268, 'n': 57, 'trace_an': 0}
-
id: 165584499
{'hecke_orbit_code': 139611588482066268, 'n': 58, 'trace_an': 0}
-
id: 165584500
{'hecke_orbit_code': 139611588482066268, 'n': 59, 'trace_an': -4}
-
id: 165584501
{'hecke_orbit_code': 139611588482066268, 'n': 60, 'trace_an': 0}
-
id: 165584502
{'hecke_orbit_code': 139611588482066268, 'n': 61, 'trace_an': 5}
-
id: 165584503
{'hecke_orbit_code': 139611588482066268, 'n': 62, 'trace_an': 0}
-
id: 165584504
{'hecke_orbit_code': 139611588482066268, 'n': 63, 'trace_an': 0}
-
id: 165584505
{'hecke_orbit_code': 139611588482066268, 'n': 64, 'trace_an': 0}
-
id: 165584506
{'hecke_orbit_code': 139611588482066268, 'n': 65, 'trace_an': -6}
-
id: 165584507
{'hecke_orbit_code': 139611588482066268, 'n': 66, 'trace_an': 0}
-
id: 165584508
{'hecke_orbit_code': 139611588482066268, 'n': 67, 'trace_an': -12}
-
id: 165584509
{'hecke_orbit_code': 139611588482066268, 'n': 68, 'trace_an': 0}
-
id: 165584510
{'hecke_orbit_code': 139611588482066268, 'n': 69, 'trace_an': 0}
-
id: 165584511
{'hecke_orbit_code': 139611588482066268, 'n': 70, 'trace_an': 0}
-
id: 165584512
{'hecke_orbit_code': 139611588482066268, 'n': 71, 'trace_an': -4}
-
id: 165584513
{'hecke_orbit_code': 139611588482066268, 'n': 72, 'trace_an': 0}
-
id: 165584514
{'hecke_orbit_code': 139611588482066268, 'n': 73, 'trace_an': 7}
-
id: 165584515
{'hecke_orbit_code': 139611588482066268, 'n': 74, 'trace_an': 0}
-
id: 165584516
{'hecke_orbit_code': 139611588482066268, 'n': 75, 'trace_an': 0}
-
id: 165584517
{'hecke_orbit_code': 139611588482066268, 'n': 76, 'trace_an': 0}
-
id: 165584518
{'hecke_orbit_code': 139611588482066268, 'n': 77, 'trace_an': 0}
-
id: 165584519
{'hecke_orbit_code': 139611588482066268, 'n': 78, 'trace_an': 0}
-
id: 165584520
{'hecke_orbit_code': 139611588482066268, 'n': 79, 'trace_an': 4}
-
id: 165584521
{'hecke_orbit_code': 139611588482066268, 'n': 80, 'trace_an': 0}
-
id: 165584522
{'hecke_orbit_code': 139611588482066268, 'n': 81, 'trace_an': 0}
-
id: 165584523
{'hecke_orbit_code': 139611588482066268, 'n': 82, 'trace_an': 0}
-
id: 165584524
{'hecke_orbit_code': 139611588482066268, 'n': 83, 'trace_an': 16}
-
id: 165584525
{'hecke_orbit_code': 139611588482066268, 'n': 84, 'trace_an': 0}
-
id: 165584526
{'hecke_orbit_code': 139611588482066268, 'n': 85, 'trace_an': -2}
-
id: 165584527
{'hecke_orbit_code': 139611588482066268, 'n': 86, 'trace_an': 0}
-
id: 165584528
{'hecke_orbit_code': 139611588482066268, 'n': 87, 'trace_an': 0}
-
id: 165584529
{'hecke_orbit_code': 139611588482066268, 'n': 88, 'trace_an': 0}
-
id: 165584530
{'hecke_orbit_code': 139611588482066268, 'n': 89, 'trace_an': 2}
-
id: 165584531
{'hecke_orbit_code': 139611588482066268, 'n': 90, 'trace_an': 0}
-
id: 165584532
{'hecke_orbit_code': 139611588482066268, 'n': 91, 'trace_an': 0}
-
id: 165584533
{'hecke_orbit_code': 139611588482066268, 'n': 92, 'trace_an': 0}
-
id: 165584534
{'hecke_orbit_code': 139611588482066268, 'n': 93, 'trace_an': 0}
-
id: 165584535
{'hecke_orbit_code': 139611588482066268, 'n': 94, 'trace_an': 0}
-
id: 165584536
{'hecke_orbit_code': 139611588482066268, 'n': 95, 'trace_an': -3}
-
id: 165584537
{'hecke_orbit_code': 139611588482066268, 'n': 96, 'trace_an': 0}
-
id: 165584538
{'hecke_orbit_code': 139611588482066268, 'n': 97, 'trace_an': 19}
-
id: 165584539
{'hecke_orbit_code': 139611588482066268, 'n': 98, 'trace_an': 0}
-
id: 165584540
{'hecke_orbit_code': 139611588482066268, 'n': 99, 'trace_an': 0}
-
id: 165584541
{'hecke_orbit_code': 139611588482066268, 'n': 100, 'trace_an': 0}