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mf_newforms • Show schema
Hide schema
{'Nk2': 98560, 'analytic_conductor': 196.75139058043487, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, -1], [11, 1]], 'atkin_lehner_string': '-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [24640, 1, [23871, 1541, 9857, 17601, 17921], [26, 26, 26, 26, 26]], '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': 26, 'hecke_orbit_code': 112589990717841472, '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': '24640.2.a.z', 'level': 24640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+q^{7}-3q^{9}-q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/24640/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '24640.2.a', 'trace_display': [0, 0, -1, 1], 'traces': [1, 0, 0, 0, -1, 0, 1, 0, -3, 0, -1, 0, 2, 0, 0, 0, 2, 0, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 6, 0, -6, 0, 0, 0, -1, 0, -10, 0, 0, 0, 0, 0, -8, 0, 3, 0, 4, 0, 1, 0, 0, 0, -10, 0, 1, 0, 0, 0, 10, 0, 8, 0, -3, 0, -2, 0, -2, 0, 0, 0, -12, 0, -2, 0, 0, 0, -1, 0, 8, 0, 9, 0, -4, 0, -2, 0, 0, 0, -14, 0, 2, 0, 0, 0, -4, 0, -2, 0, 3, 0], 'weight': 2, 'weight_parity': 1}
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label 24640.2.a.z does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [31, 29, 29, 31, 33, 27, 27, 33, 29, 31, 31, 29, 27, 33, 33, 27], 'Nk2': 98560, 'analytic_conductor': 196.75139058043487, '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': [24640, 1, [23871, 1541, 9857, 17601, 17921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4561, 'dim': 480, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33579072, 'label': '24640.2.a', 'level': 24640, '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, 5, 7, 11], 'level_radical': 770, 'mf_dim': 4656, 'mf_new_dim': 480, 'plus_dim': 232, 'prim_orbit_index': 1, 'relative_dim': 480, 'sturm_bound': 9216, 'trace_display': [0, 0, 0, 0], 'traces': [480, 0, 0, 0, 0, 0, 0, 0, 480, 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, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 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, -192, 0, 0, 0, 0, 0, 0, 0, -64, 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, 480, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 608, 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, 128, 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, 128, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 608, 0, 0, 0, -192, 0, 0, 0, 384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, 480, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 384, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -256, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -256, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -192, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 384, 0, 0, 0, -128, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -832, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 352, 0, 0, 0, 384, 0, 0, 0, -384, 0, 0, 0, -576, 0, 0, 0, -384, 0, 0, 0, 384, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -384, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, -128, 0, 0, 0, -320, 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, -512, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 608, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 512, 0, 0, 0, 256, 0, 0, 0, -192, 0, 0, 0, 384, 0, 0, 0, -768, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 24640.2.a.z does not appear in mf_twists_nf
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hecke_orbit_code 112589990717841472 does not appear in mf_hecke_charpolys
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label 24640.2.a.z does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 161686442
{'hecke_orbit_code': 112589990717841472, 'n': 1, 'trace_an': 1}
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id: 161686443
{'hecke_orbit_code': 112589990717841472, 'n': 2, 'trace_an': 0}
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id: 161686444
{'hecke_orbit_code': 112589990717841472, 'n': 3, 'trace_an': 0}
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id: 161686445
{'hecke_orbit_code': 112589990717841472, 'n': 4, 'trace_an': 0}
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id: 161686446
{'hecke_orbit_code': 112589990717841472, 'n': 5, 'trace_an': -1}
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id: 161686447
{'hecke_orbit_code': 112589990717841472, 'n': 6, 'trace_an': 0}
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id: 161686448
{'hecke_orbit_code': 112589990717841472, 'n': 7, 'trace_an': 1}
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id: 161686449
{'hecke_orbit_code': 112589990717841472, 'n': 8, 'trace_an': 0}
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id: 161686450
{'hecke_orbit_code': 112589990717841472, 'n': 9, 'trace_an': -3}
-
id: 161686451
{'hecke_orbit_code': 112589990717841472, 'n': 10, 'trace_an': 0}
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id: 161686452
{'hecke_orbit_code': 112589990717841472, 'n': 11, 'trace_an': -1}
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id: 161686453
{'hecke_orbit_code': 112589990717841472, 'n': 12, 'trace_an': 0}
-
id: 161686454
{'hecke_orbit_code': 112589990717841472, 'n': 13, 'trace_an': 2}
-
id: 161686455
{'hecke_orbit_code': 112589990717841472, 'n': 14, 'trace_an': 0}
-
id: 161686456
{'hecke_orbit_code': 112589990717841472, 'n': 15, 'trace_an': 0}
-
id: 161686457
{'hecke_orbit_code': 112589990717841472, 'n': 16, 'trace_an': 0}
-
id: 161686458
{'hecke_orbit_code': 112589990717841472, 'n': 17, 'trace_an': 2}
-
id: 161686459
{'hecke_orbit_code': 112589990717841472, 'n': 18, 'trace_an': 0}
-
id: 161686460
{'hecke_orbit_code': 112589990717841472, 'n': 19, 'trace_an': 4}
-
id: 161686461
{'hecke_orbit_code': 112589990717841472, 'n': 20, 'trace_an': 0}
-
id: 161686462
{'hecke_orbit_code': 112589990717841472, 'n': 21, 'trace_an': 0}
-
id: 161686463
{'hecke_orbit_code': 112589990717841472, 'n': 22, 'trace_an': 0}
-
id: 161686464
{'hecke_orbit_code': 112589990717841472, 'n': 23, 'trace_an': 2}
-
id: 161686465
{'hecke_orbit_code': 112589990717841472, 'n': 24, 'trace_an': 0}
-
id: 161686466
{'hecke_orbit_code': 112589990717841472, 'n': 25, 'trace_an': 1}
-
id: 161686467
{'hecke_orbit_code': 112589990717841472, 'n': 26, 'trace_an': 0}
-
id: 161686468
{'hecke_orbit_code': 112589990717841472, 'n': 27, 'trace_an': 0}
-
id: 161686469
{'hecke_orbit_code': 112589990717841472, 'n': 28, 'trace_an': 0}
-
id: 161686470
{'hecke_orbit_code': 112589990717841472, 'n': 29, 'trace_an': 6}
-
id: 161686471
{'hecke_orbit_code': 112589990717841472, 'n': 30, 'trace_an': 0}
-
id: 161686472
{'hecke_orbit_code': 112589990717841472, 'n': 31, 'trace_an': -6}
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id: 161686473
{'hecke_orbit_code': 112589990717841472, 'n': 32, 'trace_an': 0}
-
id: 161686474
{'hecke_orbit_code': 112589990717841472, 'n': 33, 'trace_an': 0}
-
id: 161686475
{'hecke_orbit_code': 112589990717841472, 'n': 34, 'trace_an': 0}
-
id: 161686476
{'hecke_orbit_code': 112589990717841472, 'n': 35, 'trace_an': -1}
-
id: 161686477
{'hecke_orbit_code': 112589990717841472, 'n': 36, 'trace_an': 0}
-
id: 161686478
{'hecke_orbit_code': 112589990717841472, 'n': 37, 'trace_an': -10}
-
id: 161686479
{'hecke_orbit_code': 112589990717841472, 'n': 38, 'trace_an': 0}
-
id: 161686480
{'hecke_orbit_code': 112589990717841472, 'n': 39, 'trace_an': 0}
-
id: 161686481
{'hecke_orbit_code': 112589990717841472, 'n': 40, 'trace_an': 0}
-
id: 161686482
{'hecke_orbit_code': 112589990717841472, 'n': 41, 'trace_an': 0}
-
id: 161686483
{'hecke_orbit_code': 112589990717841472, 'n': 42, 'trace_an': 0}
-
id: 161686484
{'hecke_orbit_code': 112589990717841472, 'n': 43, 'trace_an': -8}
-
id: 161686485
{'hecke_orbit_code': 112589990717841472, 'n': 44, 'trace_an': 0}
-
id: 161686486
{'hecke_orbit_code': 112589990717841472, 'n': 45, 'trace_an': 3}
-
id: 161686487
{'hecke_orbit_code': 112589990717841472, 'n': 46, 'trace_an': 0}
-
id: 161686488
{'hecke_orbit_code': 112589990717841472, 'n': 47, 'trace_an': 4}
-
id: 161686489
{'hecke_orbit_code': 112589990717841472, 'n': 48, 'trace_an': 0}
-
id: 161686490
{'hecke_orbit_code': 112589990717841472, 'n': 49, 'trace_an': 1}
-
id: 161686491
{'hecke_orbit_code': 112589990717841472, 'n': 50, 'trace_an': 0}
-
id: 161686492
{'hecke_orbit_code': 112589990717841472, 'n': 51, 'trace_an': 0}
-
id: 161686493
{'hecke_orbit_code': 112589990717841472, 'n': 52, 'trace_an': 0}
-
id: 161686494
{'hecke_orbit_code': 112589990717841472, 'n': 53, 'trace_an': -10}
-
id: 161686495
{'hecke_orbit_code': 112589990717841472, 'n': 54, 'trace_an': 0}
-
id: 161686496
{'hecke_orbit_code': 112589990717841472, 'n': 55, 'trace_an': 1}
-
id: 161686497
{'hecke_orbit_code': 112589990717841472, 'n': 56, 'trace_an': 0}
-
id: 161686498
{'hecke_orbit_code': 112589990717841472, 'n': 57, 'trace_an': 0}
-
id: 161686499
{'hecke_orbit_code': 112589990717841472, 'n': 58, 'trace_an': 0}
-
id: 161686500
{'hecke_orbit_code': 112589990717841472, 'n': 59, 'trace_an': 10}
-
id: 161686501
{'hecke_orbit_code': 112589990717841472, 'n': 60, 'trace_an': 0}
-
id: 161686502
{'hecke_orbit_code': 112589990717841472, 'n': 61, 'trace_an': 8}
-
id: 161686503
{'hecke_orbit_code': 112589990717841472, 'n': 62, 'trace_an': 0}
-
id: 161686504
{'hecke_orbit_code': 112589990717841472, 'n': 63, 'trace_an': -3}
-
id: 161686505
{'hecke_orbit_code': 112589990717841472, 'n': 64, 'trace_an': 0}
-
id: 161686506
{'hecke_orbit_code': 112589990717841472, 'n': 65, 'trace_an': -2}
-
id: 161686507
{'hecke_orbit_code': 112589990717841472, 'n': 66, 'trace_an': 0}
-
id: 161686508
{'hecke_orbit_code': 112589990717841472, 'n': 67, 'trace_an': -2}
-
id: 161686509
{'hecke_orbit_code': 112589990717841472, 'n': 68, 'trace_an': 0}
-
id: 161686510
{'hecke_orbit_code': 112589990717841472, 'n': 69, 'trace_an': 0}
-
id: 161686511
{'hecke_orbit_code': 112589990717841472, 'n': 70, 'trace_an': 0}
-
id: 161686512
{'hecke_orbit_code': 112589990717841472, 'n': 71, 'trace_an': -12}
-
id: 161686513
{'hecke_orbit_code': 112589990717841472, 'n': 72, 'trace_an': 0}
-
id: 161686514
{'hecke_orbit_code': 112589990717841472, 'n': 73, 'trace_an': -2}
-
id: 161686515
{'hecke_orbit_code': 112589990717841472, 'n': 74, 'trace_an': 0}
-
id: 161686516
{'hecke_orbit_code': 112589990717841472, 'n': 75, 'trace_an': 0}
-
id: 161686517
{'hecke_orbit_code': 112589990717841472, 'n': 76, 'trace_an': 0}
-
id: 161686518
{'hecke_orbit_code': 112589990717841472, 'n': 77, 'trace_an': -1}
-
id: 161686519
{'hecke_orbit_code': 112589990717841472, 'n': 78, 'trace_an': 0}
-
id: 161686520
{'hecke_orbit_code': 112589990717841472, 'n': 79, 'trace_an': 8}
-
id: 161686521
{'hecke_orbit_code': 112589990717841472, 'n': 80, 'trace_an': 0}
-
id: 161686522
{'hecke_orbit_code': 112589990717841472, 'n': 81, 'trace_an': 9}
-
id: 161686523
{'hecke_orbit_code': 112589990717841472, 'n': 82, 'trace_an': 0}
-
id: 161686524
{'hecke_orbit_code': 112589990717841472, 'n': 83, 'trace_an': -4}
-
id: 161686525
{'hecke_orbit_code': 112589990717841472, 'n': 84, 'trace_an': 0}
-
id: 161686526
{'hecke_orbit_code': 112589990717841472, 'n': 85, 'trace_an': -2}
-
id: 161686527
{'hecke_orbit_code': 112589990717841472, 'n': 86, 'trace_an': 0}
-
id: 161686528
{'hecke_orbit_code': 112589990717841472, 'n': 87, 'trace_an': 0}
-
id: 161686529
{'hecke_orbit_code': 112589990717841472, 'n': 88, 'trace_an': 0}
-
id: 161686530
{'hecke_orbit_code': 112589990717841472, 'n': 89, 'trace_an': -14}
-
id: 161686531
{'hecke_orbit_code': 112589990717841472, 'n': 90, 'trace_an': 0}
-
id: 161686532
{'hecke_orbit_code': 112589990717841472, 'n': 91, 'trace_an': 2}
-
id: 161686533
{'hecke_orbit_code': 112589990717841472, 'n': 92, 'trace_an': 0}
-
id: 161686534
{'hecke_orbit_code': 112589990717841472, 'n': 93, 'trace_an': 0}
-
id: 161686535
{'hecke_orbit_code': 112589990717841472, 'n': 94, 'trace_an': 0}
-
id: 161686536
{'hecke_orbit_code': 112589990717841472, 'n': 95, 'trace_an': -4}
-
id: 161686537
{'hecke_orbit_code': 112589990717841472, 'n': 96, 'trace_an': 0}
-
id: 161686538
{'hecke_orbit_code': 112589990717841472, 'n': 97, 'trace_an': -2}
-
id: 161686539
{'hecke_orbit_code': 112589990717841472, 'n': 98, 'trace_an': 0}
-
id: 161686540
{'hecke_orbit_code': 112589990717841472, 'n': 99, 'trace_an': 3}
-
id: 161686541
{'hecke_orbit_code': 112589990717841472, 'n': 100, 'trace_an': 0}