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mf_newforms • Show schema
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{'Nk2': 104544, 'analytic_conductor': 208.69701072281842, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [11, -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': [26136, 1, [6535, 13069, 19361, 23113], [33, 33, 33, 33]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': -1, 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109436440, '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': '26136.2.a.bg', 'level': 26136, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '26136.2.a', 'trace_display': [0, 0, -3, -4], 'traces': [2, 0, 0, 0, -3, 0, -4, 0, 0, 0, 0, 0, -7, 0, 0, 0, -2, 0, 5, 0, 0, 0, -3, 0, -3, 0, 0, 0, 4, 0, 11, 0, 0, 0, 11, 0, 4, 0, 0, 0, 0, 0, -6, 0, 0, 0, -1, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, -19, 0, 0, 0, 1, 0, 18, 0, 0, 0, 25, 0, 19, 0, 0, 0, 0, 0, 12, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 26136.2.a.bg does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [55, 55, 53, 55, 59, 50, 49, 60], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 36, 36, 36, 36], 'ALdims_old': [510, 529, 529, 517, 529, 518, 521, 520], 'Nk2': 104544, 'analytic_conductor': 208.69701072281842, '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': [26136, 1, [6535, 13069, 19361, 23113], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4609, 'dim': 436, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33580568, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 14, 14, 14, 14], 'label': '26136.2.a', 'level': 26136, '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, 11], 'level_radical': 66, 'mf_dim': 4896, 'mf_new_dim': 436, 'num_forms': 110, 'plus_dim': 209, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 9504, 'trace_display': [0, 0, 0, 4], 'traces': [436, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 442, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 422, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 502, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 454, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, 174, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, 556, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, -250, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 496, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 244, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 202, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -190, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, -290, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -236, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 724, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 170, 0, 0, 0, 0, 0, -446, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 130, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -454, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 370, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -180, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 26136.2.a.bg does not appear in mf_twists_nf
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hecke_orbit_code 144115188109436440 does not appear in mf_hecke_charpolys
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label 26136.2.a.bg does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
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id: 166125442
{'hecke_orbit_code': 144115188109436440, 'n': 1, 'trace_an': 2}
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id: 166125443
{'hecke_orbit_code': 144115188109436440, 'n': 2, 'trace_an': 0}
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id: 166125444
{'hecke_orbit_code': 144115188109436440, 'n': 3, 'trace_an': 0}
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id: 166125445
{'hecke_orbit_code': 144115188109436440, 'n': 4, 'trace_an': 0}
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id: 166125446
{'hecke_orbit_code': 144115188109436440, 'n': 5, 'trace_an': -3}
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id: 166125447
{'hecke_orbit_code': 144115188109436440, 'n': 6, 'trace_an': 0}
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id: 166125448
{'hecke_orbit_code': 144115188109436440, 'n': 7, 'trace_an': -4}
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id: 166125449
{'hecke_orbit_code': 144115188109436440, 'n': 8, 'trace_an': 0}
-
id: 166125450
{'hecke_orbit_code': 144115188109436440, 'n': 9, 'trace_an': 0}
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id: 166125451
{'hecke_orbit_code': 144115188109436440, 'n': 10, 'trace_an': 0}
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id: 166125452
{'hecke_orbit_code': 144115188109436440, 'n': 11, 'trace_an': 0}
-
id: 166125453
{'hecke_orbit_code': 144115188109436440, 'n': 12, 'trace_an': 0}
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id: 166125454
{'hecke_orbit_code': 144115188109436440, 'n': 13, 'trace_an': -7}
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id: 166125455
{'hecke_orbit_code': 144115188109436440, 'n': 14, 'trace_an': 0}
-
id: 166125456
{'hecke_orbit_code': 144115188109436440, 'n': 15, 'trace_an': 0}
-
id: 166125457
{'hecke_orbit_code': 144115188109436440, 'n': 16, 'trace_an': 0}
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id: 166125458
{'hecke_orbit_code': 144115188109436440, 'n': 17, 'trace_an': -2}
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id: 166125459
{'hecke_orbit_code': 144115188109436440, 'n': 18, 'trace_an': 0}
-
id: 166125460
{'hecke_orbit_code': 144115188109436440, 'n': 19, 'trace_an': 5}
-
id: 166125461
{'hecke_orbit_code': 144115188109436440, 'n': 20, 'trace_an': 0}
-
id: 166125462
{'hecke_orbit_code': 144115188109436440, 'n': 21, 'trace_an': 0}
-
id: 166125463
{'hecke_orbit_code': 144115188109436440, 'n': 22, 'trace_an': 0}
-
id: 166125464
{'hecke_orbit_code': 144115188109436440, 'n': 23, 'trace_an': -3}
-
id: 166125465
{'hecke_orbit_code': 144115188109436440, 'n': 24, 'trace_an': 0}
-
id: 166125466
{'hecke_orbit_code': 144115188109436440, 'n': 25, 'trace_an': -3}
-
id: 166125467
{'hecke_orbit_code': 144115188109436440, 'n': 26, 'trace_an': 0}
-
id: 166125468
{'hecke_orbit_code': 144115188109436440, 'n': 27, 'trace_an': 0}
-
id: 166125469
{'hecke_orbit_code': 144115188109436440, 'n': 28, 'trace_an': 0}
-
id: 166125470
{'hecke_orbit_code': 144115188109436440, 'n': 29, 'trace_an': 4}
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id: 166125471
{'hecke_orbit_code': 144115188109436440, 'n': 30, 'trace_an': 0}
-
id: 166125472
{'hecke_orbit_code': 144115188109436440, 'n': 31, 'trace_an': 11}
-
id: 166125473
{'hecke_orbit_code': 144115188109436440, 'n': 32, 'trace_an': 0}
-
id: 166125474
{'hecke_orbit_code': 144115188109436440, 'n': 33, 'trace_an': 0}
-
id: 166125475
{'hecke_orbit_code': 144115188109436440, 'n': 34, 'trace_an': 0}
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id: 166125476
{'hecke_orbit_code': 144115188109436440, 'n': 35, 'trace_an': 11}
-
id: 166125477
{'hecke_orbit_code': 144115188109436440, 'n': 36, 'trace_an': 0}
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id: 166125478
{'hecke_orbit_code': 144115188109436440, 'n': 37, 'trace_an': 4}
-
id: 166125479
{'hecke_orbit_code': 144115188109436440, 'n': 38, 'trace_an': 0}
-
id: 166125480
{'hecke_orbit_code': 144115188109436440, 'n': 39, 'trace_an': 0}
-
id: 166125481
{'hecke_orbit_code': 144115188109436440, 'n': 40, 'trace_an': 0}
-
id: 166125482
{'hecke_orbit_code': 144115188109436440, 'n': 41, 'trace_an': 0}
-
id: 166125483
{'hecke_orbit_code': 144115188109436440, 'n': 42, 'trace_an': 0}
-
id: 166125484
{'hecke_orbit_code': 144115188109436440, 'n': 43, 'trace_an': -6}
-
id: 166125485
{'hecke_orbit_code': 144115188109436440, 'n': 44, 'trace_an': 0}
-
id: 166125486
{'hecke_orbit_code': 144115188109436440, 'n': 45, 'trace_an': 0}
-
id: 166125487
{'hecke_orbit_code': 144115188109436440, 'n': 46, 'trace_an': 0}
-
id: 166125488
{'hecke_orbit_code': 144115188109436440, 'n': 47, 'trace_an': -1}
-
id: 166125489
{'hecke_orbit_code': 144115188109436440, 'n': 48, 'trace_an': 0}
-
id: 166125490
{'hecke_orbit_code': 144115188109436440, 'n': 49, 'trace_an': 4}
-
id: 166125491
{'hecke_orbit_code': 144115188109436440, 'n': 50, 'trace_an': 0}
-
id: 166125492
{'hecke_orbit_code': 144115188109436440, 'n': 51, 'trace_an': 0}
-
id: 166125493
{'hecke_orbit_code': 144115188109436440, 'n': 52, 'trace_an': 0}
-
id: 166125494
{'hecke_orbit_code': 144115188109436440, 'n': 53, 'trace_an': -2}
-
id: 166125495
{'hecke_orbit_code': 144115188109436440, 'n': 54, 'trace_an': 0}
-
id: 166125496
{'hecke_orbit_code': 144115188109436440, 'n': 55, 'trace_an': 0}
-
id: 166125497
{'hecke_orbit_code': 144115188109436440, 'n': 56, 'trace_an': 0}
-
id: 166125498
{'hecke_orbit_code': 144115188109436440, 'n': 57, 'trace_an': 0}
-
id: 166125499
{'hecke_orbit_code': 144115188109436440, 'n': 58, 'trace_an': 0}
-
id: 166125500
{'hecke_orbit_code': 144115188109436440, 'n': 59, 'trace_an': -7}
-
id: 166125501
{'hecke_orbit_code': 144115188109436440, 'n': 60, 'trace_an': 0}
-
id: 166125502
{'hecke_orbit_code': 144115188109436440, 'n': 61, 'trace_an': 0}
-
id: 166125503
{'hecke_orbit_code': 144115188109436440, 'n': 62, 'trace_an': 0}
-
id: 166125504
{'hecke_orbit_code': 144115188109436440, 'n': 63, 'trace_an': 0}
-
id: 166125505
{'hecke_orbit_code': 144115188109436440, 'n': 64, 'trace_an': 0}
-
id: 166125506
{'hecke_orbit_code': 144115188109436440, 'n': 65, 'trace_an': 13}
-
id: 166125507
{'hecke_orbit_code': 144115188109436440, 'n': 66, 'trace_an': 0}
-
id: 166125508
{'hecke_orbit_code': 144115188109436440, 'n': 67, 'trace_an': 0}
-
id: 166125509
{'hecke_orbit_code': 144115188109436440, 'n': 68, 'trace_an': 0}
-
id: 166125510
{'hecke_orbit_code': 144115188109436440, 'n': 69, 'trace_an': 0}
-
id: 166125511
{'hecke_orbit_code': 144115188109436440, 'n': 70, 'trace_an': 0}
-
id: 166125512
{'hecke_orbit_code': 144115188109436440, 'n': 71, 'trace_an': -4}
-
id: 166125513
{'hecke_orbit_code': 144115188109436440, 'n': 72, 'trace_an': 0}
-
id: 166125514
{'hecke_orbit_code': 144115188109436440, 'n': 73, 'trace_an': 1}
-
id: 166125515
{'hecke_orbit_code': 144115188109436440, 'n': 74, 'trace_an': 0}
-
id: 166125516
{'hecke_orbit_code': 144115188109436440, 'n': 75, 'trace_an': 0}
-
id: 166125517
{'hecke_orbit_code': 144115188109436440, 'n': 76, 'trace_an': 0}
-
id: 166125518
{'hecke_orbit_code': 144115188109436440, 'n': 77, 'trace_an': 0}
-
id: 166125519
{'hecke_orbit_code': 144115188109436440, 'n': 78, 'trace_an': 0}
-
id: 166125520
{'hecke_orbit_code': 144115188109436440, 'n': 79, 'trace_an': -19}
-
id: 166125521
{'hecke_orbit_code': 144115188109436440, 'n': 80, 'trace_an': 0}
-
id: 166125522
{'hecke_orbit_code': 144115188109436440, 'n': 81, 'trace_an': 0}
-
id: 166125523
{'hecke_orbit_code': 144115188109436440, 'n': 82, 'trace_an': 0}
-
id: 166125524
{'hecke_orbit_code': 144115188109436440, 'n': 83, 'trace_an': 1}
-
id: 166125525
{'hecke_orbit_code': 144115188109436440, 'n': 84, 'trace_an': 0}
-
id: 166125526
{'hecke_orbit_code': 144115188109436440, 'n': 85, 'trace_an': 18}
-
id: 166125527
{'hecke_orbit_code': 144115188109436440, 'n': 86, 'trace_an': 0}
-
id: 166125528
{'hecke_orbit_code': 144115188109436440, 'n': 87, 'trace_an': 0}
-
id: 166125529
{'hecke_orbit_code': 144115188109436440, 'n': 88, 'trace_an': 0}
-
id: 166125530
{'hecke_orbit_code': 144115188109436440, 'n': 89, 'trace_an': 25}
-
id: 166125531
{'hecke_orbit_code': 144115188109436440, 'n': 90, 'trace_an': 0}
-
id: 166125532
{'hecke_orbit_code': 144115188109436440, 'n': 91, 'trace_an': 19}
-
id: 166125533
{'hecke_orbit_code': 144115188109436440, 'n': 92, 'trace_an': 0}
-
id: 166125534
{'hecke_orbit_code': 144115188109436440, 'n': 93, 'trace_an': 0}
-
id: 166125535
{'hecke_orbit_code': 144115188109436440, 'n': 94, 'trace_an': 0}
-
id: 166125536
{'hecke_orbit_code': 144115188109436440, 'n': 95, 'trace_an': 0}
-
id: 166125537
{'hecke_orbit_code': 144115188109436440, 'n': 96, 'trace_an': 0}
-
id: 166125538
{'hecke_orbit_code': 144115188109436440, 'n': 97, 'trace_an': 12}
-
id: 166125539
{'hecke_orbit_code': 144115188109436440, 'n': 98, 'trace_an': 0}
-
id: 166125540
{'hecke_orbit_code': 144115188109436440, 'n': 99, 'trace_an': 0}
-
id: 166125541
{'hecke_orbit_code': 144115188109436440, 'n': 100, 'trace_an': 0}