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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], [37, 37, 37, 37]], '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': 37, 'hecke_orbit_code': 162129586618902592, '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.bk', '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+3q^{3}-q^{7}+6q^{9}+6q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/10304/bk'], '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, 3, 0, -1], 'traces': [1, 0, 3, 0, 0, 0, -1, 0, 6, 0, 6, 0, -1, 0, 0, 0, 0, 0, 0, 0, -3, 0, 1, 0, -5, 0, 9, 0, 3, 0, -3, 0, 18, 0, 0, 0, 8, 0, -3, 0, 9, 0, -4, 0, 0, 0, 13, 0, 1, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, -2, 0, -6, 0, 0, 0, 4, 0, 3, 0, -5, 0, 3, 0, -15, 0, -6, 0, 12, 0, 9, 0, -16, 0, 0, 0, 9, 0, 4, 0, 1, 0, -9, 0, 0, 0, -6, 0, 36, 0], 'weight': 2, 'weight_parity': 1}
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label 10304.2.a.bk 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.bk does not appear in mf_twists_nf
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hecke_orbit_code 162129586618902592 does not appear in mf_hecke_charpolys
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label 10304.2.a.bk does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 167915442
{'hecke_orbit_code': 162129586618902592, 'n': 1, 'trace_an': 1}
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id: 167915443
{'hecke_orbit_code': 162129586618902592, 'n': 2, 'trace_an': 0}
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id: 167915444
{'hecke_orbit_code': 162129586618902592, 'n': 3, 'trace_an': 3}
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id: 167915445
{'hecke_orbit_code': 162129586618902592, 'n': 4, 'trace_an': 0}
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id: 167915446
{'hecke_orbit_code': 162129586618902592, 'n': 5, 'trace_an': 0}
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id: 167915447
{'hecke_orbit_code': 162129586618902592, 'n': 6, 'trace_an': 0}
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id: 167915448
{'hecke_orbit_code': 162129586618902592, 'n': 7, 'trace_an': -1}
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id: 167915449
{'hecke_orbit_code': 162129586618902592, 'n': 8, 'trace_an': 0}
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id: 167915450
{'hecke_orbit_code': 162129586618902592, 'n': 9, 'trace_an': 6}
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id: 167915451
{'hecke_orbit_code': 162129586618902592, 'n': 10, 'trace_an': 0}
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id: 167915452
{'hecke_orbit_code': 162129586618902592, 'n': 11, 'trace_an': 6}
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id: 167915453
{'hecke_orbit_code': 162129586618902592, 'n': 12, 'trace_an': 0}
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id: 167915454
{'hecke_orbit_code': 162129586618902592, 'n': 13, 'trace_an': -1}
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id: 167915455
{'hecke_orbit_code': 162129586618902592, 'n': 14, 'trace_an': 0}
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id: 167915456
{'hecke_orbit_code': 162129586618902592, 'n': 15, 'trace_an': 0}
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id: 167915457
{'hecke_orbit_code': 162129586618902592, 'n': 16, 'trace_an': 0}
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id: 167915458
{'hecke_orbit_code': 162129586618902592, 'n': 17, 'trace_an': 0}
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id: 167915459
{'hecke_orbit_code': 162129586618902592, 'n': 18, 'trace_an': 0}
-
id: 167915460
{'hecke_orbit_code': 162129586618902592, 'n': 19, 'trace_an': 0}
-
id: 167915461
{'hecke_orbit_code': 162129586618902592, 'n': 20, 'trace_an': 0}
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id: 167915462
{'hecke_orbit_code': 162129586618902592, 'n': 21, 'trace_an': -3}
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id: 167915463
{'hecke_orbit_code': 162129586618902592, 'n': 22, 'trace_an': 0}
-
id: 167915464
{'hecke_orbit_code': 162129586618902592, 'n': 23, 'trace_an': 1}
-
id: 167915465
{'hecke_orbit_code': 162129586618902592, 'n': 24, 'trace_an': 0}
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id: 167915466
{'hecke_orbit_code': 162129586618902592, 'n': 25, 'trace_an': -5}
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id: 167915467
{'hecke_orbit_code': 162129586618902592, 'n': 26, 'trace_an': 0}
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id: 167915468
{'hecke_orbit_code': 162129586618902592, 'n': 27, 'trace_an': 9}
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id: 167915469
{'hecke_orbit_code': 162129586618902592, 'n': 28, 'trace_an': 0}
-
id: 167915470
{'hecke_orbit_code': 162129586618902592, 'n': 29, 'trace_an': 3}
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id: 167915471
{'hecke_orbit_code': 162129586618902592, 'n': 30, 'trace_an': 0}
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id: 167915472
{'hecke_orbit_code': 162129586618902592, 'n': 31, 'trace_an': -3}
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id: 167915473
{'hecke_orbit_code': 162129586618902592, 'n': 32, 'trace_an': 0}
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id: 167915474
{'hecke_orbit_code': 162129586618902592, 'n': 33, 'trace_an': 18}
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id: 167915475
{'hecke_orbit_code': 162129586618902592, 'n': 34, 'trace_an': 0}
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id: 167915476
{'hecke_orbit_code': 162129586618902592, 'n': 35, 'trace_an': 0}
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id: 167915477
{'hecke_orbit_code': 162129586618902592, 'n': 36, 'trace_an': 0}
-
id: 167915478
{'hecke_orbit_code': 162129586618902592, 'n': 37, 'trace_an': 8}
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id: 167915479
{'hecke_orbit_code': 162129586618902592, 'n': 38, 'trace_an': 0}
-
id: 167915480
{'hecke_orbit_code': 162129586618902592, 'n': 39, 'trace_an': -3}
-
id: 167915481
{'hecke_orbit_code': 162129586618902592, 'n': 40, 'trace_an': 0}
-
id: 167915482
{'hecke_orbit_code': 162129586618902592, 'n': 41, 'trace_an': 9}
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id: 167915483
{'hecke_orbit_code': 162129586618902592, 'n': 42, 'trace_an': 0}
-
id: 167915484
{'hecke_orbit_code': 162129586618902592, 'n': 43, 'trace_an': -4}
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id: 167915485
{'hecke_orbit_code': 162129586618902592, 'n': 44, 'trace_an': 0}
-
id: 167915486
{'hecke_orbit_code': 162129586618902592, 'n': 45, 'trace_an': 0}
-
id: 167915487
{'hecke_orbit_code': 162129586618902592, 'n': 46, 'trace_an': 0}
-
id: 167915488
{'hecke_orbit_code': 162129586618902592, 'n': 47, 'trace_an': 13}
-
id: 167915489
{'hecke_orbit_code': 162129586618902592, 'n': 48, 'trace_an': 0}
-
id: 167915490
{'hecke_orbit_code': 162129586618902592, 'n': 49, 'trace_an': 1}
-
id: 167915491
{'hecke_orbit_code': 162129586618902592, 'n': 50, 'trace_an': 0}
-
id: 167915492
{'hecke_orbit_code': 162129586618902592, 'n': 51, 'trace_an': 0}
-
id: 167915493
{'hecke_orbit_code': 162129586618902592, 'n': 52, 'trace_an': 0}
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id: 167915494
{'hecke_orbit_code': 162129586618902592, 'n': 53, 'trace_an': -4}
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id: 167915495
{'hecke_orbit_code': 162129586618902592, 'n': 54, 'trace_an': 0}
-
id: 167915496
{'hecke_orbit_code': 162129586618902592, 'n': 55, 'trace_an': 0}
-
id: 167915497
{'hecke_orbit_code': 162129586618902592, 'n': 56, 'trace_an': 0}
-
id: 167915498
{'hecke_orbit_code': 162129586618902592, 'n': 57, 'trace_an': 0}
-
id: 167915499
{'hecke_orbit_code': 162129586618902592, 'n': 58, 'trace_an': 0}
-
id: 167915500
{'hecke_orbit_code': 162129586618902592, 'n': 59, 'trace_an': -4}
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id: 167915501
{'hecke_orbit_code': 162129586618902592, 'n': 60, 'trace_an': 0}
-
id: 167915502
{'hecke_orbit_code': 162129586618902592, 'n': 61, 'trace_an': -2}
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id: 167915503
{'hecke_orbit_code': 162129586618902592, 'n': 62, 'trace_an': 0}
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id: 167915504
{'hecke_orbit_code': 162129586618902592, 'n': 63, 'trace_an': -6}
-
id: 167915505
{'hecke_orbit_code': 162129586618902592, 'n': 64, 'trace_an': 0}
-
id: 167915506
{'hecke_orbit_code': 162129586618902592, 'n': 65, 'trace_an': 0}
-
id: 167915507
{'hecke_orbit_code': 162129586618902592, 'n': 66, 'trace_an': 0}
-
id: 167915508
{'hecke_orbit_code': 162129586618902592, 'n': 67, 'trace_an': 4}
-
id: 167915509
{'hecke_orbit_code': 162129586618902592, 'n': 68, 'trace_an': 0}
-
id: 167915510
{'hecke_orbit_code': 162129586618902592, 'n': 69, 'trace_an': 3}
-
id: 167915511
{'hecke_orbit_code': 162129586618902592, 'n': 70, 'trace_an': 0}
-
id: 167915512
{'hecke_orbit_code': 162129586618902592, 'n': 71, 'trace_an': -5}
-
id: 167915513
{'hecke_orbit_code': 162129586618902592, 'n': 72, 'trace_an': 0}
-
id: 167915514
{'hecke_orbit_code': 162129586618902592, 'n': 73, 'trace_an': 3}
-
id: 167915515
{'hecke_orbit_code': 162129586618902592, 'n': 74, 'trace_an': 0}
-
id: 167915516
{'hecke_orbit_code': 162129586618902592, 'n': 75, 'trace_an': -15}
-
id: 167915517
{'hecke_orbit_code': 162129586618902592, 'n': 76, 'trace_an': 0}
-
id: 167915518
{'hecke_orbit_code': 162129586618902592, 'n': 77, 'trace_an': -6}
-
id: 167915519
{'hecke_orbit_code': 162129586618902592, 'n': 78, 'trace_an': 0}
-
id: 167915520
{'hecke_orbit_code': 162129586618902592, 'n': 79, 'trace_an': 12}
-
id: 167915521
{'hecke_orbit_code': 162129586618902592, 'n': 80, 'trace_an': 0}
-
id: 167915522
{'hecke_orbit_code': 162129586618902592, 'n': 81, 'trace_an': 9}
-
id: 167915523
{'hecke_orbit_code': 162129586618902592, 'n': 82, 'trace_an': 0}
-
id: 167915524
{'hecke_orbit_code': 162129586618902592, 'n': 83, 'trace_an': -16}
-
id: 167915525
{'hecke_orbit_code': 162129586618902592, 'n': 84, 'trace_an': 0}
-
id: 167915526
{'hecke_orbit_code': 162129586618902592, 'n': 85, 'trace_an': 0}
-
id: 167915527
{'hecke_orbit_code': 162129586618902592, 'n': 86, 'trace_an': 0}
-
id: 167915528
{'hecke_orbit_code': 162129586618902592, 'n': 87, 'trace_an': 9}
-
id: 167915529
{'hecke_orbit_code': 162129586618902592, 'n': 88, 'trace_an': 0}
-
id: 167915530
{'hecke_orbit_code': 162129586618902592, 'n': 89, 'trace_an': 4}
-
id: 167915531
{'hecke_orbit_code': 162129586618902592, 'n': 90, 'trace_an': 0}
-
id: 167915532
{'hecke_orbit_code': 162129586618902592, 'n': 91, 'trace_an': 1}
-
id: 167915533
{'hecke_orbit_code': 162129586618902592, 'n': 92, 'trace_an': 0}
-
id: 167915534
{'hecke_orbit_code': 162129586618902592, 'n': 93, 'trace_an': -9}
-
id: 167915535
{'hecke_orbit_code': 162129586618902592, 'n': 94, 'trace_an': 0}
-
id: 167915536
{'hecke_orbit_code': 162129586618902592, 'n': 95, 'trace_an': 0}
-
id: 167915537
{'hecke_orbit_code': 162129586618902592, 'n': 96, 'trace_an': 0}
-
id: 167915538
{'hecke_orbit_code': 162129586618902592, 'n': 97, 'trace_an': -6}
-
id: 167915539
{'hecke_orbit_code': 162129586618902592, 'n': 98, 'trace_an': 0}
-
id: 167915540
{'hecke_orbit_code': 162129586618902592, 'n': 99, 'trace_an': 36}
-
id: 167915541
{'hecke_orbit_code': 162129586618902592, 'n': 100, 'trace_an': 0}