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mf_newforms • Show schema
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{'Nk2': 41216, 'analytic_conductor': 82.2778542427273, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [23, 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': [10304, 1, [9983, 645, 1473, 6721], [33, 33, 33, 33]], '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': 33, 'hecke_orbit_code': 144115188109420608, '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': '10304.2.a.bg', 'level': 10304, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}+2q^{5}-q^{7}+q^{9}+6q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/10304/bg'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10304.2.a', 'trace_display': [0, 2, 2, -1], 'traces': [1, 0, 2, 0, 2, 0, -1, 0, 1, 0, 6, 0, 4, 0, 4, 0, -2, 0, 4, 0, -2, 0, -1, 0, -1, 0, -4, 0, 10, 0, 8, 0, 12, 0, -2, 0, 8, 0, 8, 0, -2, 0, 6, 0, 2, 0, -12, 0, 1, 0, -4, 0, -12, 0, 12, 0, 8, 0, -6, 0, 6, 0, -1, 0, 8, 0, -2, 0, -2, 0, -16, 0, 2, 0, -2, 0, -6, 0, 0, 0, -11, 0, 4, 0, -4, 0, 20, 0, -6, 0, -4, 0, 16, 0, 8, 0, 2, 0, 6, 0], 'weight': 2, 'weight_parity': 1}
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label 10304.2.a.bg does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [30, 35, 38, 27, 36, 31, 28, 39], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [150, 160, 161, 156, 161, 150, 153, 158], 'Nk2': 41216, 'analytic_conductor': 82.2778542427273, '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': [10304, 1, [9983, 645, 1473, 6721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 264, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_orbit_code': 33564736, '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, 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, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 11, 11, 12, 12], 'label': '10304.2.a', 'level': 10304, '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, 7, 23], 'level_radical': 322, 'mf_dim': 1560, 'mf_new_dim': 264, 'num_forms': 90, 'plus_dim': 116, 'prim_orbit_index': 1, 'relative_dim': 264, 'sturm_bound': 3072, 'trace_display': [0, 0, 0, 0], 'traces': [264, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 344, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -80, 0, 0, 0, 224, 0, 0, 0, 344, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, 176, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 480, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, -16, 0, 0, 0, 272, 0, 0, 0, 112, 0, 0, 0, 256, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 128, 0, 0, 0, 96, 0, 0, 0, -80, 0, 0, 0, 160, 0, 0, 0, 264, 0, 0, 0, 208, 0, 0, 0, -256, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, -272, 0, 0, 0, 288, 0, 0, 0, -80, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, 384, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 384, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, -176, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -176, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 352, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 264, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -416, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -320, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 208, 0, 0, 0, 416, 0, 0, 0, 368, 0, 0, 0, 16, 0, 0, 0, -176, 0, 0, 0, 344, 0, 0, 0, -288, 0, 0, 0, -32, 0, 0, 0, -336, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, -48, 0, 0, 0, -336, 0, 0, 0, 144, 0, 0, 0, -736, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -384, 0, 0, 0, 256, 0, 0, 0, 624, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, 224, 0, 0, 0, -480, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, 328, 0, 0, 0, 416, 0, 0, 0, 192, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, 384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10304.2.a.bg does not appear in mf_twists_nf
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hecke_orbit_code 144115188109420608 does not appear in mf_hecke_charpolys
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label 10304.2.a.bg does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 165914442
{'hecke_orbit_code': 144115188109420608, 'n': 1, 'trace_an': 1}
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id: 165914443
{'hecke_orbit_code': 144115188109420608, 'n': 2, 'trace_an': 0}
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id: 165914444
{'hecke_orbit_code': 144115188109420608, 'n': 3, 'trace_an': 2}
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id: 165914445
{'hecke_orbit_code': 144115188109420608, 'n': 4, 'trace_an': 0}
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id: 165914446
{'hecke_orbit_code': 144115188109420608, 'n': 5, 'trace_an': 2}
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id: 165914447
{'hecke_orbit_code': 144115188109420608, 'n': 6, 'trace_an': 0}
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id: 165914448
{'hecke_orbit_code': 144115188109420608, 'n': 7, 'trace_an': -1}
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id: 165914449
{'hecke_orbit_code': 144115188109420608, 'n': 8, 'trace_an': 0}
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id: 165914450
{'hecke_orbit_code': 144115188109420608, 'n': 9, 'trace_an': 1}
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id: 165914451
{'hecke_orbit_code': 144115188109420608, 'n': 10, 'trace_an': 0}
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id: 165914452
{'hecke_orbit_code': 144115188109420608, 'n': 11, 'trace_an': 6}
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id: 165914453
{'hecke_orbit_code': 144115188109420608, 'n': 12, 'trace_an': 0}
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id: 165914454
{'hecke_orbit_code': 144115188109420608, 'n': 13, 'trace_an': 4}
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id: 165914455
{'hecke_orbit_code': 144115188109420608, 'n': 14, 'trace_an': 0}
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id: 165914456
{'hecke_orbit_code': 144115188109420608, 'n': 15, 'trace_an': 4}
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id: 165914457
{'hecke_orbit_code': 144115188109420608, 'n': 16, 'trace_an': 0}
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id: 165914458
{'hecke_orbit_code': 144115188109420608, 'n': 17, 'trace_an': -2}
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id: 165914459
{'hecke_orbit_code': 144115188109420608, 'n': 18, 'trace_an': 0}
-
id: 165914460
{'hecke_orbit_code': 144115188109420608, 'n': 19, 'trace_an': 4}
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id: 165914461
{'hecke_orbit_code': 144115188109420608, 'n': 20, 'trace_an': 0}
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id: 165914462
{'hecke_orbit_code': 144115188109420608, 'n': 21, 'trace_an': -2}
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id: 165914463
{'hecke_orbit_code': 144115188109420608, 'n': 22, 'trace_an': 0}
-
id: 165914464
{'hecke_orbit_code': 144115188109420608, 'n': 23, 'trace_an': -1}
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id: 165914465
{'hecke_orbit_code': 144115188109420608, 'n': 24, 'trace_an': 0}
-
id: 165914466
{'hecke_orbit_code': 144115188109420608, 'n': 25, 'trace_an': -1}
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id: 165914467
{'hecke_orbit_code': 144115188109420608, 'n': 26, 'trace_an': 0}
-
id: 165914468
{'hecke_orbit_code': 144115188109420608, 'n': 27, 'trace_an': -4}
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id: 165914469
{'hecke_orbit_code': 144115188109420608, 'n': 28, 'trace_an': 0}
-
id: 165914470
{'hecke_orbit_code': 144115188109420608, 'n': 29, 'trace_an': 10}
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id: 165914471
{'hecke_orbit_code': 144115188109420608, 'n': 30, 'trace_an': 0}
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id: 165914472
{'hecke_orbit_code': 144115188109420608, 'n': 31, 'trace_an': 8}
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id: 165914473
{'hecke_orbit_code': 144115188109420608, 'n': 32, 'trace_an': 0}
-
id: 165914474
{'hecke_orbit_code': 144115188109420608, 'n': 33, 'trace_an': 12}
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id: 165914475
{'hecke_orbit_code': 144115188109420608, 'n': 34, 'trace_an': 0}
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id: 165914476
{'hecke_orbit_code': 144115188109420608, 'n': 35, 'trace_an': -2}
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id: 165914477
{'hecke_orbit_code': 144115188109420608, 'n': 36, 'trace_an': 0}
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id: 165914478
{'hecke_orbit_code': 144115188109420608, 'n': 37, 'trace_an': 8}
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id: 165914479
{'hecke_orbit_code': 144115188109420608, 'n': 38, 'trace_an': 0}
-
id: 165914480
{'hecke_orbit_code': 144115188109420608, 'n': 39, 'trace_an': 8}
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id: 165914481
{'hecke_orbit_code': 144115188109420608, 'n': 40, 'trace_an': 0}
-
id: 165914482
{'hecke_orbit_code': 144115188109420608, 'n': 41, 'trace_an': -2}
-
id: 165914483
{'hecke_orbit_code': 144115188109420608, 'n': 42, 'trace_an': 0}
-
id: 165914484
{'hecke_orbit_code': 144115188109420608, 'n': 43, 'trace_an': 6}
-
id: 165914485
{'hecke_orbit_code': 144115188109420608, 'n': 44, 'trace_an': 0}
-
id: 165914486
{'hecke_orbit_code': 144115188109420608, 'n': 45, 'trace_an': 2}
-
id: 165914487
{'hecke_orbit_code': 144115188109420608, 'n': 46, 'trace_an': 0}
-
id: 165914488
{'hecke_orbit_code': 144115188109420608, 'n': 47, 'trace_an': -12}
-
id: 165914489
{'hecke_orbit_code': 144115188109420608, 'n': 48, 'trace_an': 0}
-
id: 165914490
{'hecke_orbit_code': 144115188109420608, 'n': 49, 'trace_an': 1}
-
id: 165914491
{'hecke_orbit_code': 144115188109420608, 'n': 50, 'trace_an': 0}
-
id: 165914492
{'hecke_orbit_code': 144115188109420608, 'n': 51, 'trace_an': -4}
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id: 165914493
{'hecke_orbit_code': 144115188109420608, 'n': 52, 'trace_an': 0}
-
id: 165914494
{'hecke_orbit_code': 144115188109420608, 'n': 53, 'trace_an': -12}
-
id: 165914495
{'hecke_orbit_code': 144115188109420608, 'n': 54, 'trace_an': 0}
-
id: 165914496
{'hecke_orbit_code': 144115188109420608, 'n': 55, 'trace_an': 12}
-
id: 165914497
{'hecke_orbit_code': 144115188109420608, 'n': 56, 'trace_an': 0}
-
id: 165914498
{'hecke_orbit_code': 144115188109420608, 'n': 57, 'trace_an': 8}
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id: 165914499
{'hecke_orbit_code': 144115188109420608, 'n': 58, 'trace_an': 0}
-
id: 165914500
{'hecke_orbit_code': 144115188109420608, 'n': 59, 'trace_an': -6}
-
id: 165914501
{'hecke_orbit_code': 144115188109420608, 'n': 60, 'trace_an': 0}
-
id: 165914502
{'hecke_orbit_code': 144115188109420608, 'n': 61, 'trace_an': 6}
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id: 165914503
{'hecke_orbit_code': 144115188109420608, 'n': 62, 'trace_an': 0}
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id: 165914504
{'hecke_orbit_code': 144115188109420608, 'n': 63, 'trace_an': -1}
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id: 165914505
{'hecke_orbit_code': 144115188109420608, 'n': 64, 'trace_an': 0}
-
id: 165914506
{'hecke_orbit_code': 144115188109420608, 'n': 65, 'trace_an': 8}
-
id: 165914507
{'hecke_orbit_code': 144115188109420608, 'n': 66, 'trace_an': 0}
-
id: 165914508
{'hecke_orbit_code': 144115188109420608, 'n': 67, 'trace_an': -2}
-
id: 165914509
{'hecke_orbit_code': 144115188109420608, 'n': 68, 'trace_an': 0}
-
id: 165914510
{'hecke_orbit_code': 144115188109420608, 'n': 69, 'trace_an': -2}
-
id: 165914511
{'hecke_orbit_code': 144115188109420608, 'n': 70, 'trace_an': 0}
-
id: 165914512
{'hecke_orbit_code': 144115188109420608, 'n': 71, 'trace_an': -16}
-
id: 165914513
{'hecke_orbit_code': 144115188109420608, 'n': 72, 'trace_an': 0}
-
id: 165914514
{'hecke_orbit_code': 144115188109420608, 'n': 73, 'trace_an': 2}
-
id: 165914515
{'hecke_orbit_code': 144115188109420608, 'n': 74, 'trace_an': 0}
-
id: 165914516
{'hecke_orbit_code': 144115188109420608, 'n': 75, 'trace_an': -2}
-
id: 165914517
{'hecke_orbit_code': 144115188109420608, 'n': 76, 'trace_an': 0}
-
id: 165914518
{'hecke_orbit_code': 144115188109420608, 'n': 77, 'trace_an': -6}
-
id: 165914519
{'hecke_orbit_code': 144115188109420608, 'n': 78, 'trace_an': 0}
-
id: 165914520
{'hecke_orbit_code': 144115188109420608, 'n': 79, 'trace_an': 0}
-
id: 165914521
{'hecke_orbit_code': 144115188109420608, 'n': 80, 'trace_an': 0}
-
id: 165914522
{'hecke_orbit_code': 144115188109420608, 'n': 81, 'trace_an': -11}
-
id: 165914523
{'hecke_orbit_code': 144115188109420608, 'n': 82, 'trace_an': 0}
-
id: 165914524
{'hecke_orbit_code': 144115188109420608, 'n': 83, 'trace_an': 4}
-
id: 165914525
{'hecke_orbit_code': 144115188109420608, 'n': 84, 'trace_an': 0}
-
id: 165914526
{'hecke_orbit_code': 144115188109420608, 'n': 85, 'trace_an': -4}
-
id: 165914527
{'hecke_orbit_code': 144115188109420608, 'n': 86, 'trace_an': 0}
-
id: 165914528
{'hecke_orbit_code': 144115188109420608, 'n': 87, 'trace_an': 20}
-
id: 165914529
{'hecke_orbit_code': 144115188109420608, 'n': 88, 'trace_an': 0}
-
id: 165914530
{'hecke_orbit_code': 144115188109420608, 'n': 89, 'trace_an': -6}
-
id: 165914531
{'hecke_orbit_code': 144115188109420608, 'n': 90, 'trace_an': 0}
-
id: 165914532
{'hecke_orbit_code': 144115188109420608, 'n': 91, 'trace_an': -4}
-
id: 165914533
{'hecke_orbit_code': 144115188109420608, 'n': 92, 'trace_an': 0}
-
id: 165914534
{'hecke_orbit_code': 144115188109420608, 'n': 93, 'trace_an': 16}
-
id: 165914535
{'hecke_orbit_code': 144115188109420608, 'n': 94, 'trace_an': 0}
-
id: 165914536
{'hecke_orbit_code': 144115188109420608, 'n': 95, 'trace_an': 8}
-
id: 165914537
{'hecke_orbit_code': 144115188109420608, 'n': 96, 'trace_an': 0}
-
id: 165914538
{'hecke_orbit_code': 144115188109420608, 'n': 97, 'trace_an': 2}
-
id: 165914539
{'hecke_orbit_code': 144115188109420608, 'n': 98, 'trace_an': 0}
-
id: 165914540
{'hecke_orbit_code': 144115188109420608, 'n': 99, 'trace_an': 6}
-
id: 165914541
{'hecke_orbit_code': 144115188109420608, 'n': 100, 'trace_an': 0}