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mf_newforms • Show schema
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{'Nk2': 62920, 'analytic_conductor': 125.60468237947404, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, -1], [13, 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': [15730, 1, [3147, 3511, 1211], [3, 3, 3]], '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': 3, 'hecke_orbit_code': 9007199288311154, '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': '15730.2.a.c', 'level': 15730, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11, 13], 'level_radical': 1430, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}+4q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/15730/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '15730.2.a', 'trace_display': [-1, -2, -1, 4], 'traces': [1, -1, -2, 1, -1, 2, 4, -1, 1, 1, 0, -2, -1, -4, 2, 1, 6, -1, -8, -1, -8, 0, 0, 2, 1, 1, 4, 4, 0, -2, -4, -1, 0, -6, -4, 1, 2, 8, 2, 1, -12, 8, -8, 0, -1, 0, 6, -2, 9, -1, -12, -1, -12, -4, 0, -4, 16, 0, 12, 2, -8, 4, 4, 1, 1, 0, 8, 6, 0, 4, -12, -1, 10, -2, -2, -8, 0, -2, 4, -1, -11, 12, -12, -8, -6, 8, 0, 0, 6, 1, -4, 0, 8, -6, 8, 2, 8, -9, 0, 1], 'weight': 2, 'weight_parity': 1}
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label 15730.2.a.c does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [24, 25, 30, 30, 26, 29, 30, 25, 29, 24, 25, 30, 25, 34, 30, 20], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [136, 152, 150, 134, 145, 142, 141, 144, 145, 144, 141, 144, 149, 128, 137, 157], 'Nk2': 62920, 'analytic_conductor': 125.60468237947404, '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': [15730, 1, [3147, 3511, 1211], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2725, 'dim': 436, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33570162, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 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, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 14, 14, 14, 14, 16, 16], 'label': '15730.2.a', 'level': 15730, '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, 11, 13], 'level_radical': 1430, 'mf_dim': 2820, 'mf_new_dim': 436, 'num_forms': 97, 'plus_dim': 207, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 5544, 'trace_display': [-2, -4, 2, 0], 'traces': [436, -2, -4, 436, 2, 0, 0, -2, 436, 0, 0, -4, -2, 0, 0, 436, 0, -10, -4, 2, -16, 0, -16, 0, 436, 0, -40, 0, 16, 4, -8, -2, 0, -28, 8, 436, -20, 0, 0, 0, 0, -16, -20, 0, 10, 20, 0, -4, 412, -2, -24, -2, 28, 0, 0, 0, -24, -28, -36, 0, -24, 12, -32, 436, -4, 0, 0, 0, -48, 16, 64, -10, -20, -8, -4, -4, 0, 4, 0, 2, 492, -52, 16, -16, 4, 8, -24, 0, -56, -8, -8, -16, 32, 32, 8, 0, -4, -18, 0, 436, 8, -16, -8, 0, -32, 24, -4, -40, 28, 0, -48, 0, -16, -80, -12, 16, -10, 8, -80, 4, 0, 28, 40, -8, 2, 16, 0, -2, -56, 2, 56, 0, -96, -32, 0, -28, 36, 56, 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-96, -48, 32, -216, 432, -80, -2, 240, 48, -24, 0, 192, -8, -80, -16, 500, 64, 24, -88, 2, 112, 0, 28, -120, -28, -72, -112, -140, 0, -72, 72, 56, 0, -208, -24, 416, -124, -320, 0, -16, 44, -36, -128, 0, -40, 64, 32, 76, -232, 8, 48, -44, -256, 96, 0, -208, 70, -148, -12, -64, -88, 208, 72, -288, 8, 0, -32, 192, 456, -40, 0, -72, -12, -336, 436, -232, 0, -160, -28, 4, 8, -284, -56, 360, -8, -64, -24, 0, 40, -112, -108, -320, 184, -128, 8, -32, 0, 4, 0, -20, 40, -264, -28, 264, 32, -276, 0, -272, -168, 0, -8, 72, -80, -328, -24, 132, 232, -32, -36, 32, 0, -8, 32, -32, 0, -144, 0, 72, 184, -32, 104, 0, -100, -80, 0, 308, 44, 12, 0, 56, 224, -160, 0, -24, 44, -16, 316, -224, -40, 0, -24, 244, 240, 0, 18, 300, -144, -480, 392, -72, 152, 192, 8, 0, 0, -272, 12, 528, -128, 16, 64, -300, 216, -224, 0], 'weight': 2, 'weight_parity': 1}
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source_label 15730.2.a.c does not appear in mf_twists_nf
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hecke_orbit_code 9007199288311154 does not appear in mf_hecke_charpolys
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label 15730.2.a.c does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 123227442
{'hecke_orbit_code': 9007199288311154, 'n': 1, 'trace_an': 1}
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id: 123227443
{'hecke_orbit_code': 9007199288311154, 'n': 2, 'trace_an': -1}
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id: 123227444
{'hecke_orbit_code': 9007199288311154, 'n': 3, 'trace_an': -2}
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id: 123227445
{'hecke_orbit_code': 9007199288311154, 'n': 4, 'trace_an': 1}
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id: 123227446
{'hecke_orbit_code': 9007199288311154, 'n': 5, 'trace_an': -1}
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id: 123227447
{'hecke_orbit_code': 9007199288311154, 'n': 6, 'trace_an': 2}
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id: 123227448
{'hecke_orbit_code': 9007199288311154, 'n': 7, 'trace_an': 4}
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id: 123227449
{'hecke_orbit_code': 9007199288311154, 'n': 8, 'trace_an': -1}
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id: 123227450
{'hecke_orbit_code': 9007199288311154, 'n': 9, 'trace_an': 1}
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id: 123227451
{'hecke_orbit_code': 9007199288311154, 'n': 10, 'trace_an': 1}
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id: 123227452
{'hecke_orbit_code': 9007199288311154, 'n': 11, 'trace_an': 0}
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id: 123227453
{'hecke_orbit_code': 9007199288311154, 'n': 12, 'trace_an': -2}
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id: 123227454
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id: 123227455
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id: 123227456
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id: 123227457
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id: 123227458
{'hecke_orbit_code': 9007199288311154, 'n': 17, 'trace_an': 6}
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id: 123227459
{'hecke_orbit_code': 9007199288311154, 'n': 18, 'trace_an': -1}
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id: 123227460
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id: 123227461
{'hecke_orbit_code': 9007199288311154, 'n': 20, 'trace_an': -1}
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id: 123227462
{'hecke_orbit_code': 9007199288311154, 'n': 21, 'trace_an': -8}
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id: 123227463
{'hecke_orbit_code': 9007199288311154, 'n': 22, 'trace_an': 0}
-
id: 123227464
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-
id: 123227465
{'hecke_orbit_code': 9007199288311154, 'n': 24, 'trace_an': 2}
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id: 123227466
{'hecke_orbit_code': 9007199288311154, 'n': 25, 'trace_an': 1}
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id: 123227467
{'hecke_orbit_code': 9007199288311154, 'n': 26, 'trace_an': 1}
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id: 123227468
{'hecke_orbit_code': 9007199288311154, 'n': 27, 'trace_an': 4}
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id: 123227469
{'hecke_orbit_code': 9007199288311154, 'n': 28, 'trace_an': 4}
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id: 123227470
{'hecke_orbit_code': 9007199288311154, 'n': 29, 'trace_an': 0}
-
id: 123227471
{'hecke_orbit_code': 9007199288311154, 'n': 30, 'trace_an': -2}
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id: 123227472
{'hecke_orbit_code': 9007199288311154, 'n': 31, 'trace_an': -4}
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id: 123227473
{'hecke_orbit_code': 9007199288311154, 'n': 32, 'trace_an': -1}
-
id: 123227474
{'hecke_orbit_code': 9007199288311154, 'n': 33, 'trace_an': 0}
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id: 123227475
{'hecke_orbit_code': 9007199288311154, 'n': 34, 'trace_an': -6}
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id: 123227476
{'hecke_orbit_code': 9007199288311154, 'n': 35, 'trace_an': -4}
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id: 123227477
{'hecke_orbit_code': 9007199288311154, 'n': 36, 'trace_an': 1}
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id: 123227478
{'hecke_orbit_code': 9007199288311154, 'n': 37, 'trace_an': 2}
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id: 123227479
{'hecke_orbit_code': 9007199288311154, 'n': 38, 'trace_an': 8}
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id: 123227480
{'hecke_orbit_code': 9007199288311154, 'n': 39, 'trace_an': 2}
-
id: 123227481
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id: 123227482
{'hecke_orbit_code': 9007199288311154, 'n': 41, 'trace_an': -12}
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id: 123227483
{'hecke_orbit_code': 9007199288311154, 'n': 42, 'trace_an': 8}
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id: 123227484
{'hecke_orbit_code': 9007199288311154, 'n': 43, 'trace_an': -8}
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id: 123227485
{'hecke_orbit_code': 9007199288311154, 'n': 44, 'trace_an': 0}
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id: 123227486
{'hecke_orbit_code': 9007199288311154, 'n': 45, 'trace_an': -1}
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id: 123227487
{'hecke_orbit_code': 9007199288311154, 'n': 46, 'trace_an': 0}
-
id: 123227488
{'hecke_orbit_code': 9007199288311154, 'n': 47, 'trace_an': 6}
-
id: 123227489
{'hecke_orbit_code': 9007199288311154, 'n': 48, 'trace_an': -2}
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id: 123227490
{'hecke_orbit_code': 9007199288311154, 'n': 49, 'trace_an': 9}
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id: 123227491
{'hecke_orbit_code': 9007199288311154, 'n': 50, 'trace_an': -1}
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id: 123227492
{'hecke_orbit_code': 9007199288311154, 'n': 51, 'trace_an': -12}
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id: 123227493
{'hecke_orbit_code': 9007199288311154, 'n': 52, 'trace_an': -1}
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id: 123227494
{'hecke_orbit_code': 9007199288311154, 'n': 53, 'trace_an': -12}
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id: 123227495
{'hecke_orbit_code': 9007199288311154, 'n': 54, 'trace_an': -4}
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id: 123227496
{'hecke_orbit_code': 9007199288311154, 'n': 55, 'trace_an': 0}
-
id: 123227497
{'hecke_orbit_code': 9007199288311154, 'n': 56, 'trace_an': -4}
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id: 123227498
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-
id: 123227499
{'hecke_orbit_code': 9007199288311154, 'n': 58, 'trace_an': 0}
-
id: 123227500
{'hecke_orbit_code': 9007199288311154, 'n': 59, 'trace_an': 12}
-
id: 123227501
{'hecke_orbit_code': 9007199288311154, 'n': 60, 'trace_an': 2}
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id: 123227502
{'hecke_orbit_code': 9007199288311154, 'n': 61, 'trace_an': -8}
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id: 123227503
{'hecke_orbit_code': 9007199288311154, 'n': 62, 'trace_an': 4}
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id: 123227504
{'hecke_orbit_code': 9007199288311154, 'n': 63, 'trace_an': 4}
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id: 123227505
{'hecke_orbit_code': 9007199288311154, 'n': 64, 'trace_an': 1}
-
id: 123227506
{'hecke_orbit_code': 9007199288311154, 'n': 65, 'trace_an': 1}
-
id: 123227507
{'hecke_orbit_code': 9007199288311154, 'n': 66, 'trace_an': 0}
-
id: 123227508
{'hecke_orbit_code': 9007199288311154, 'n': 67, 'trace_an': 8}
-
id: 123227509
{'hecke_orbit_code': 9007199288311154, 'n': 68, 'trace_an': 6}
-
id: 123227510
{'hecke_orbit_code': 9007199288311154, 'n': 69, 'trace_an': 0}
-
id: 123227511
{'hecke_orbit_code': 9007199288311154, 'n': 70, 'trace_an': 4}
-
id: 123227512
{'hecke_orbit_code': 9007199288311154, 'n': 71, 'trace_an': -12}
-
id: 123227513
{'hecke_orbit_code': 9007199288311154, 'n': 72, 'trace_an': -1}
-
id: 123227514
{'hecke_orbit_code': 9007199288311154, 'n': 73, 'trace_an': 10}
-
id: 123227515
{'hecke_orbit_code': 9007199288311154, 'n': 74, 'trace_an': -2}
-
id: 123227516
{'hecke_orbit_code': 9007199288311154, 'n': 75, 'trace_an': -2}
-
id: 123227517
{'hecke_orbit_code': 9007199288311154, 'n': 76, 'trace_an': -8}
-
id: 123227518
{'hecke_orbit_code': 9007199288311154, 'n': 77, 'trace_an': 0}
-
id: 123227519
{'hecke_orbit_code': 9007199288311154, 'n': 78, 'trace_an': -2}
-
id: 123227520
{'hecke_orbit_code': 9007199288311154, 'n': 79, 'trace_an': 4}
-
id: 123227521
{'hecke_orbit_code': 9007199288311154, 'n': 80, 'trace_an': -1}
-
id: 123227522
{'hecke_orbit_code': 9007199288311154, 'n': 81, 'trace_an': -11}
-
id: 123227523
{'hecke_orbit_code': 9007199288311154, 'n': 82, 'trace_an': 12}
-
id: 123227524
{'hecke_orbit_code': 9007199288311154, 'n': 83, 'trace_an': -12}
-
id: 123227525
{'hecke_orbit_code': 9007199288311154, 'n': 84, 'trace_an': -8}
-
id: 123227526
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-
id: 123227527
{'hecke_orbit_code': 9007199288311154, 'n': 86, 'trace_an': 8}
-
id: 123227528
{'hecke_orbit_code': 9007199288311154, 'n': 87, 'trace_an': 0}
-
id: 123227529
{'hecke_orbit_code': 9007199288311154, 'n': 88, 'trace_an': 0}
-
id: 123227530
{'hecke_orbit_code': 9007199288311154, 'n': 89, 'trace_an': 6}
-
id: 123227531
{'hecke_orbit_code': 9007199288311154, 'n': 90, 'trace_an': 1}
-
id: 123227532
{'hecke_orbit_code': 9007199288311154, 'n': 91, 'trace_an': -4}
-
id: 123227533
{'hecke_orbit_code': 9007199288311154, 'n': 92, 'trace_an': 0}
-
id: 123227534
{'hecke_orbit_code': 9007199288311154, 'n': 93, 'trace_an': 8}
-
id: 123227535
{'hecke_orbit_code': 9007199288311154, 'n': 94, 'trace_an': -6}
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id: 123227536
{'hecke_orbit_code': 9007199288311154, 'n': 95, 'trace_an': 8}
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id: 123227537
{'hecke_orbit_code': 9007199288311154, 'n': 96, 'trace_an': 2}
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id: 123227538
{'hecke_orbit_code': 9007199288311154, 'n': 97, 'trace_an': 8}
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{'hecke_orbit_code': 9007199288311154, 'n': 98, 'trace_an': -9}
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id: 123227540
{'hecke_orbit_code': 9007199288311154, 'n': 99, 'trace_an': 0}
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id: 123227541
{'hecke_orbit_code': 9007199288311154, 'n': 100, 'trace_an': 1}