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mf_newforms • Show schema
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{'Nk2': 41472, 'analytic_conductor': 82.7888968156635, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [10368, 1, [2431, 5509, 6401], [20, 20, 20]], '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': 20, 'hecke_orbit_code': 85568392953604224, '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': '10368.2.a.t', 'level': 10368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-2q^{7}+4q^{11}+q^{13}-5q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/10368/t'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10368.2.a', 'trace_display': [0, 0, 1, -2], 'traces': [1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 4, 0, 1, 0, 0, 0, -5, 0, 2, 0, 0, 0, -4, 0, -4, 0, 0, 0, -3, 0, -6, 0, 0, 0, -2, 0, 5, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, -6, 0, 4, 0, 0, 0, 8, 0, 13, 0, 0, 0, 1, 0, 10, 0, 0, 0, 6, 0, 11, 0, 0, 0, -8, 0, -4, 0, 0, 0, 6, 0, -5, 0, 0, 0, 7, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 10368.2.a.t does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [46, 50, 50, 46], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48], 'ALdims_old': [355, 362, 366, 358], 'Nk2': 41472, 'analytic_conductor': 82.7888968156635, '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': [10368, 1, [2431, 5509, 6401], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 192, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33564800, '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, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'label': '10368.2.a', 'level': 10368, 'level_is_powerful': True, '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], 'level_radical': 6, 'mf_dim': 1824, 'mf_new_dim': 192, 'num_forms': 64, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 3456, 'trace_display': [0, 0, 0, 0], 'traces': [192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10368.2.a.t does not appear in mf_twists_nf
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hecke_orbit_code 85568392953604224 does not appear in mf_hecke_charpolys
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label 10368.2.a.t does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 155994442
{'hecke_orbit_code': 85568392953604224, 'n': 1, 'trace_an': 1}
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id: 155994443
{'hecke_orbit_code': 85568392953604224, 'n': 2, 'trace_an': 0}
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id: 155994444
{'hecke_orbit_code': 85568392953604224, 'n': 3, 'trace_an': 0}
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id: 155994445
{'hecke_orbit_code': 85568392953604224, 'n': 4, 'trace_an': 0}
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id: 155994446
{'hecke_orbit_code': 85568392953604224, 'n': 5, 'trace_an': 1}
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id: 155994447
{'hecke_orbit_code': 85568392953604224, 'n': 6, 'trace_an': 0}
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id: 155994448
{'hecke_orbit_code': 85568392953604224, 'n': 7, 'trace_an': -2}
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id: 155994449
{'hecke_orbit_code': 85568392953604224, 'n': 8, 'trace_an': 0}
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id: 155994450
{'hecke_orbit_code': 85568392953604224, 'n': 9, 'trace_an': 0}
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id: 155994451
{'hecke_orbit_code': 85568392953604224, 'n': 10, 'trace_an': 0}
-
id: 155994452
{'hecke_orbit_code': 85568392953604224, 'n': 11, 'trace_an': 4}
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id: 155994453
{'hecke_orbit_code': 85568392953604224, 'n': 12, 'trace_an': 0}
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id: 155994454
{'hecke_orbit_code': 85568392953604224, 'n': 13, 'trace_an': 1}
-
id: 155994455
{'hecke_orbit_code': 85568392953604224, 'n': 14, 'trace_an': 0}
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id: 155994456
{'hecke_orbit_code': 85568392953604224, 'n': 15, 'trace_an': 0}
-
id: 155994457
{'hecke_orbit_code': 85568392953604224, 'n': 16, 'trace_an': 0}
-
id: 155994458
{'hecke_orbit_code': 85568392953604224, 'n': 17, 'trace_an': -5}
-
id: 155994459
{'hecke_orbit_code': 85568392953604224, 'n': 18, 'trace_an': 0}
-
id: 155994460
{'hecke_orbit_code': 85568392953604224, 'n': 19, 'trace_an': 2}
-
id: 155994461
{'hecke_orbit_code': 85568392953604224, 'n': 20, 'trace_an': 0}
-
id: 155994462
{'hecke_orbit_code': 85568392953604224, 'n': 21, 'trace_an': 0}
-
id: 155994463
{'hecke_orbit_code': 85568392953604224, 'n': 22, 'trace_an': 0}
-
id: 155994464
{'hecke_orbit_code': 85568392953604224, 'n': 23, 'trace_an': -4}
-
id: 155994465
{'hecke_orbit_code': 85568392953604224, 'n': 24, 'trace_an': 0}
-
id: 155994466
{'hecke_orbit_code': 85568392953604224, 'n': 25, 'trace_an': -4}
-
id: 155994467
{'hecke_orbit_code': 85568392953604224, 'n': 26, 'trace_an': 0}
-
id: 155994468
{'hecke_orbit_code': 85568392953604224, 'n': 27, 'trace_an': 0}
-
id: 155994469
{'hecke_orbit_code': 85568392953604224, 'n': 28, 'trace_an': 0}
-
id: 155994470
{'hecke_orbit_code': 85568392953604224, 'n': 29, 'trace_an': -3}
-
id: 155994471
{'hecke_orbit_code': 85568392953604224, 'n': 30, 'trace_an': 0}
-
id: 155994472
{'hecke_orbit_code': 85568392953604224, 'n': 31, 'trace_an': -6}
-
id: 155994473
{'hecke_orbit_code': 85568392953604224, 'n': 32, 'trace_an': 0}
-
id: 155994474
{'hecke_orbit_code': 85568392953604224, 'n': 33, 'trace_an': 0}
-
id: 155994475
{'hecke_orbit_code': 85568392953604224, 'n': 34, 'trace_an': 0}
-
id: 155994476
{'hecke_orbit_code': 85568392953604224, 'n': 35, 'trace_an': -2}
-
id: 155994477
{'hecke_orbit_code': 85568392953604224, 'n': 36, 'trace_an': 0}
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id: 155994478
{'hecke_orbit_code': 85568392953604224, 'n': 37, 'trace_an': 5}
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id: 155994479
{'hecke_orbit_code': 85568392953604224, 'n': 38, 'trace_an': 0}
-
id: 155994480
{'hecke_orbit_code': 85568392953604224, 'n': 39, 'trace_an': 0}
-
id: 155994481
{'hecke_orbit_code': 85568392953604224, 'n': 40, 'trace_an': 0}
-
id: 155994482
{'hecke_orbit_code': 85568392953604224, 'n': 41, 'trace_an': 6}
-
id: 155994483
{'hecke_orbit_code': 85568392953604224, 'n': 42, 'trace_an': 0}
-
id: 155994484
{'hecke_orbit_code': 85568392953604224, 'n': 43, 'trace_an': 0}
-
id: 155994485
{'hecke_orbit_code': 85568392953604224, 'n': 44, 'trace_an': 0}
-
id: 155994486
{'hecke_orbit_code': 85568392953604224, 'n': 45, 'trace_an': 0}
-
id: 155994487
{'hecke_orbit_code': 85568392953604224, 'n': 46, 'trace_an': 0}
-
id: 155994488
{'hecke_orbit_code': 85568392953604224, 'n': 47, 'trace_an': 2}
-
id: 155994489
{'hecke_orbit_code': 85568392953604224, 'n': 48, 'trace_an': 0}
-
id: 155994490
{'hecke_orbit_code': 85568392953604224, 'n': 49, 'trace_an': -3}
-
id: 155994491
{'hecke_orbit_code': 85568392953604224, 'n': 50, 'trace_an': 0}
-
id: 155994492
{'hecke_orbit_code': 85568392953604224, 'n': 51, 'trace_an': 0}
-
id: 155994493
{'hecke_orbit_code': 85568392953604224, 'n': 52, 'trace_an': 0}
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id: 155994494
{'hecke_orbit_code': 85568392953604224, 'n': 53, 'trace_an': -6}
-
id: 155994495
{'hecke_orbit_code': 85568392953604224, 'n': 54, 'trace_an': 0}
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id: 155994496
{'hecke_orbit_code': 85568392953604224, 'n': 55, 'trace_an': 4}
-
id: 155994497
{'hecke_orbit_code': 85568392953604224, 'n': 56, 'trace_an': 0}
-
id: 155994498
{'hecke_orbit_code': 85568392953604224, 'n': 57, 'trace_an': 0}
-
id: 155994499
{'hecke_orbit_code': 85568392953604224, 'n': 58, 'trace_an': 0}
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id: 155994500
{'hecke_orbit_code': 85568392953604224, 'n': 59, 'trace_an': 8}
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id: 155994501
{'hecke_orbit_code': 85568392953604224, 'n': 60, 'trace_an': 0}
-
id: 155994502
{'hecke_orbit_code': 85568392953604224, 'n': 61, 'trace_an': 13}
-
id: 155994503
{'hecke_orbit_code': 85568392953604224, 'n': 62, 'trace_an': 0}
-
id: 155994504
{'hecke_orbit_code': 85568392953604224, 'n': 63, 'trace_an': 0}
-
id: 155994505
{'hecke_orbit_code': 85568392953604224, 'n': 64, 'trace_an': 0}
-
id: 155994506
{'hecke_orbit_code': 85568392953604224, 'n': 65, 'trace_an': 1}
-
id: 155994507
{'hecke_orbit_code': 85568392953604224, 'n': 66, 'trace_an': 0}
-
id: 155994508
{'hecke_orbit_code': 85568392953604224, 'n': 67, 'trace_an': 10}
-
id: 155994509
{'hecke_orbit_code': 85568392953604224, 'n': 68, 'trace_an': 0}
-
id: 155994510
{'hecke_orbit_code': 85568392953604224, 'n': 69, 'trace_an': 0}
-
id: 155994511
{'hecke_orbit_code': 85568392953604224, 'n': 70, 'trace_an': 0}
-
id: 155994512
{'hecke_orbit_code': 85568392953604224, 'n': 71, 'trace_an': 6}
-
id: 155994513
{'hecke_orbit_code': 85568392953604224, 'n': 72, 'trace_an': 0}
-
id: 155994514
{'hecke_orbit_code': 85568392953604224, 'n': 73, 'trace_an': 11}
-
id: 155994515
{'hecke_orbit_code': 85568392953604224, 'n': 74, 'trace_an': 0}
-
id: 155994516
{'hecke_orbit_code': 85568392953604224, 'n': 75, 'trace_an': 0}
-
id: 155994517
{'hecke_orbit_code': 85568392953604224, 'n': 76, 'trace_an': 0}
-
id: 155994518
{'hecke_orbit_code': 85568392953604224, 'n': 77, 'trace_an': -8}
-
id: 155994519
{'hecke_orbit_code': 85568392953604224, 'n': 78, 'trace_an': 0}
-
id: 155994520
{'hecke_orbit_code': 85568392953604224, 'n': 79, 'trace_an': -4}
-
id: 155994521
{'hecke_orbit_code': 85568392953604224, 'n': 80, 'trace_an': 0}
-
id: 155994522
{'hecke_orbit_code': 85568392953604224, 'n': 81, 'trace_an': 0}
-
id: 155994523
{'hecke_orbit_code': 85568392953604224, 'n': 82, 'trace_an': 0}
-
id: 155994524
{'hecke_orbit_code': 85568392953604224, 'n': 83, 'trace_an': 6}
-
id: 155994525
{'hecke_orbit_code': 85568392953604224, 'n': 84, 'trace_an': 0}
-
id: 155994526
{'hecke_orbit_code': 85568392953604224, 'n': 85, 'trace_an': -5}
-
id: 155994527
{'hecke_orbit_code': 85568392953604224, 'n': 86, 'trace_an': 0}
-
id: 155994528
{'hecke_orbit_code': 85568392953604224, 'n': 87, 'trace_an': 0}
-
id: 155994529
{'hecke_orbit_code': 85568392953604224, 'n': 88, 'trace_an': 0}
-
id: 155994530
{'hecke_orbit_code': 85568392953604224, 'n': 89, 'trace_an': 7}
-
id: 155994531
{'hecke_orbit_code': 85568392953604224, 'n': 90, 'trace_an': 0}
-
id: 155994532
{'hecke_orbit_code': 85568392953604224, 'n': 91, 'trace_an': -2}
-
id: 155994533
{'hecke_orbit_code': 85568392953604224, 'n': 92, 'trace_an': 0}
-
id: 155994534
{'hecke_orbit_code': 85568392953604224, 'n': 93, 'trace_an': 0}
-
id: 155994535
{'hecke_orbit_code': 85568392953604224, 'n': 94, 'trace_an': 0}
-
id: 155994536
{'hecke_orbit_code': 85568392953604224, 'n': 95, 'trace_an': 2}
-
id: 155994537
{'hecke_orbit_code': 85568392953604224, 'n': 96, 'trace_an': 0}
-
id: 155994538
{'hecke_orbit_code': 85568392953604224, 'n': 97, 'trace_an': -2}
-
id: 155994539
{'hecke_orbit_code': 85568392953604224, 'n': 98, 'trace_an': 0}
-
id: 155994540
{'hecke_orbit_code': 85568392953604224, 'n': 99, 'trace_an': 0}
-
id: 155994541
{'hecke_orbit_code': 85568392953604224, 'n': 100, 'trace_an': 0}