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mf_newforms • Show schema
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{'Nk2': 60300, 'analytic_conductor': 120.37448104708018, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [67, -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': [15075, 1, [1676, 10252, 3151], [12, 12, 12]], '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': 12, 'hecke_orbit_code': 49539595934644963, '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': '15075.2.a.l', 'level': 15075, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 67], 'level_radical': 1005, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{4}-3q^{8}-4q^{13}-q^{16}+\\cdots', 'related_objects': ['EllipticCurve/Q/15075/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '15075.2.a', 'trace_display': [1, 0, 0, 0], 'traces': [1, 1, 0, -1, 0, 0, 0, -3, 0, 0, 0, 0, -4, 0, 0, -1, -4, 0, 4, 0, 0, 0, 8, 0, 0, -4, 0, 0, 2, 0, 2, 5, 0, -4, 0, 0, -6, 4, 0, 0, -6, 0, 0, 0, 0, 8, 12, 0, -7, 0, 0, 4, -2, 0, 0, 0, 0, 2, 6, 0, 14, 2, 0, 7, 0, 0, 1, 4, 0, 0, -14, 0, -2, -6, 0, -4, 0, 0, -10, 0, 0, -6, -16, 0, 0, 0, 0, 0, 18, 0, 0, -8, 0, 12, 0, 0, 8, -7, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 15075.2.a.l does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [44, 56, 58, 50, 77, 71, 81, 85], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [203, 202, 200, 196, 181, 175, 165, 173], 'Nk2': 60300, 'analytic_conductor': 120.37448104708018, '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': [15075, 1, [1676, 10252, 3151], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2017, 'dim': 522, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_orbit_code': 33569507, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 11, 13, 13, 13, 13, 14, 14, 16, 16, 17, 17, 26, 26, 28, 28], 'label': '15075.2.a', 'level': 15075, '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': [3, 5, 67], 'level_radical': 1005, 'mf_dim': 2064, 'mf_new_dim': 522, 'num_forms': 79, 'plus_dim': 246, 'prim_orbit_index': 1, 'relative_dim': 522, 'sturm_bound': 4080, 'trace_display': [-1, 0, 0, 2], 'traces': [522, -1, 0, 525, 0, 0, 2, -9, 0, 0, -2, 0, -4, -18, 0, 531, -7, 0, 1, 0, 0, 22, -11, 0, 0, 8, 0, 14, 13, 0, 12, -9, 0, 4, 0, 0, -5, 20, 0, 0, 4, 0, 8, -38, 0, 18, -11, 0, 508, 0, 0, 12, -14, 0, 0, -30, 0, -20, -27, 0, 24, -14, 0, 573, 0, 0, 2, -36, 0, 0, 20, 0, 7, 50, 0, -4, -50, 0, -2, 0, 0, 2, -34, 0, 0, 8, 0, -8, 37, 0, -18, -60, 0, -76, 0, 0, 24, -19, 0, 0, 38, 0, 38, 20, 0, -28, 61, 0, 90, 0, 0, 70, 14, 0, 0, 10, 0, -46, 6, 0, 558, -28, 0, -62, 0, 0, -35, -19, 0, 0, 56, 0, 0, 7, 0, 2, 12, 0, 28, 0, 0, -16, -2, 0, 0, -44, 0, 40, 125, 0, -121, 18, 0, -10, 0, 0, 5, 112, 0, 0, 14, 0, 29, 58, 0, -210, 36, 0, 508, 0, 0, -80, -13, 0, 0, 4, 0, 88, 0, 0, 99, -46, 0, 18, 0, 0, -64, -6, 0, 0, 48, 0, 33, 104, 0, 583, -46, 0, -107, 0, 0, -50, 22, 0, 0, -70, 0, -16, -14, 0, 34, -40, 0, -70, 0, 0, 74, 62, 0, 0, -6, 0, 31, -116, 0, -68, -87, 0, 84, 0, 0, -24, 100, 0, 0, 50, 0, -40, -20, 0, -23, -81, 0, -140, 0, 0, -20, 100, 0, 0, 122, 0, -6, -52, 0, 467, -51, 0, 168, 0, 0, 56, -62, 0, 0, 90, 0, 5, 18, 0, 38, -86, 0, 28, 0, 0, -4, 86, 0, 0, -56, 0, -7, 102, 0, -26, -56, 0, 523, 0, 0, 44, 60, 0, 0, -38, 0, -62, 42, 0, -44, 70, 0, 44, 0, 0, 23, -208, 0, 0, 22, 0, 42, -18, 0, -44, -28, 0, -46, 0, 0, 110, -11, 0, 0, -212, 0, -4, -124, 0, 14, -90, 0, -168, 0, 0, -54, 47, 0, 0, 100, 0, 22, 222, 0, 238, 44, 0, 44, 0, 0, 102, -24, 0, 0, 262, 0, 96, 27, 0, 601, 50, 0, 154, 0, 0, -32, -182, 0, 0, 66, 0, -40, 208, 0, -304, 34, 0, -166, 0, 0, 2, 196, 0, 0, -102, 0, 128, -196, 0, -177, 41, 0, 208, 0, 0, 17, 28, 0, 0, 66, 0, 98, -14, 0, -2, -44, 0, 242, 0, 0, 260, 54, 0, 0, 150, 0, 140, 205, 0, -47, 134, 0, -10, 0, 0, 54, 312, 0, 0, -79, 0, -36, 254, 0, 38, -7, 0, -21, 0, 0, -68, -68, 0, 0, -274, 0, 12, 133, 0, 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-18, 0, 85, 114, 0, -230, 388, 0, 56, 0, 0, 124, -28, 0, 0, -112, 0, -14, 129, 0, -286, -5, 0, 554, 0, 0, -126, -30, 0, 0, 74, 0, -54, 124, 0, 114, -10, 0, 80, 0, 0, 110, -140, 0, 0, 66, 0, -160, -374, 0, 199, -22, 0, 146, 0, 0, -28, 20, 0, 0, -173, 0, -128, 70, 0, -86, -162, 0, -166, 0, 0, 106, -265, 0, 0, 218, 0, 174, -12, 0, -342, 186, 0, 471, 0, 0, -106, 64, 0, 0, -170, 0, -42, -58, 0, -100, -58, 0, 235, 0, 0, -40, 152, 0, 0, -66, 0, 212, -66, 0, -44, 334, 0, -234, 0, 0, 50, 74, 0, 0, -195, 0, 53, -156, 0, -220, 185, 0, -181, 0, 0, 30, -135, 0, 0, -228, 0, -110, -37, 0, 387, 218, 0, 312, 0, 0, 62, -138, 0, 0, -231, 0, -39, -106, 0, 66, 174, 0, -278, 0, 0, -322, 59, 0, 0, 16, 0, 248, -182, 0, -22, -12, 0, 20, 0, 0, -17, 268, 0, 0, -21, 0, 46, 96, 0, -70, -315, 0, -424, 0, 0, 190, -191, 0, 0, -494, 0, -90, -464, 0, -142, 14, 0, -96, 0, 0, -37, -242, 0, 0, 131, 0, -106, -132, 0, 482, -212, 0, -66, 0, 0, 98, 28, 0, 0, 102, 0, 56, -314, 0, -29, 326, 0, 564, 0, 0, -222, -8, 0, 0, 120, 0, 10, 388, 0, -358, 87, 0, -42, 0, 0, -144, 59, 0, 0, -178, 0, 154, 214, 0, 290, -304, 0, 108, 0, 0, -68, 69, 0, 0, 99, 0, -110, -254, 0, 132, -3, 0, -458, 0, 0, -126, 74, 0, 0, 126, 0, 78, -44, 0, -298, 462, 0, 114, 0, 0, -60, -6, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 15075.2.a.l does not appear in mf_twists_nf
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hecke_orbit_code 49539595934644963 does not appear in mf_hecke_charpolys
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label 15075.2.a.l does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 146039342
{'hecke_orbit_code': 49539595934644963, 'n': 1, 'trace_an': 1}
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id: 146039343
{'hecke_orbit_code': 49539595934644963, 'n': 2, 'trace_an': 1}
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id: 146039344
{'hecke_orbit_code': 49539595934644963, 'n': 3, 'trace_an': 0}
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id: 146039345
{'hecke_orbit_code': 49539595934644963, 'n': 4, 'trace_an': -1}
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id: 146039346
{'hecke_orbit_code': 49539595934644963, 'n': 5, 'trace_an': 0}
-
id: 146039347
{'hecke_orbit_code': 49539595934644963, 'n': 6, 'trace_an': 0}
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id: 146039348
{'hecke_orbit_code': 49539595934644963, 'n': 7, 'trace_an': 0}
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id: 146039349
{'hecke_orbit_code': 49539595934644963, 'n': 8, 'trace_an': -3}
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id: 146039350
{'hecke_orbit_code': 49539595934644963, 'n': 9, 'trace_an': 0}
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id: 146039351
{'hecke_orbit_code': 49539595934644963, 'n': 10, 'trace_an': 0}
-
id: 146039352
{'hecke_orbit_code': 49539595934644963, 'n': 11, 'trace_an': 0}
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id: 146039353
{'hecke_orbit_code': 49539595934644963, 'n': 12, 'trace_an': 0}
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id: 146039354
{'hecke_orbit_code': 49539595934644963, 'n': 13, 'trace_an': -4}
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id: 146039355
{'hecke_orbit_code': 49539595934644963, 'n': 14, 'trace_an': 0}
-
id: 146039356
{'hecke_orbit_code': 49539595934644963, 'n': 15, 'trace_an': 0}
-
id: 146039357
{'hecke_orbit_code': 49539595934644963, 'n': 16, 'trace_an': -1}
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id: 146039358
{'hecke_orbit_code': 49539595934644963, 'n': 17, 'trace_an': -4}
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id: 146039359
{'hecke_orbit_code': 49539595934644963, 'n': 18, 'trace_an': 0}
-
id: 146039360
{'hecke_orbit_code': 49539595934644963, 'n': 19, 'trace_an': 4}
-
id: 146039361
{'hecke_orbit_code': 49539595934644963, 'n': 20, 'trace_an': 0}
-
id: 146039362
{'hecke_orbit_code': 49539595934644963, 'n': 21, 'trace_an': 0}
-
id: 146039363
{'hecke_orbit_code': 49539595934644963, 'n': 22, 'trace_an': 0}
-
id: 146039364
{'hecke_orbit_code': 49539595934644963, 'n': 23, 'trace_an': 8}
-
id: 146039365
{'hecke_orbit_code': 49539595934644963, 'n': 24, 'trace_an': 0}
-
id: 146039366
{'hecke_orbit_code': 49539595934644963, 'n': 25, 'trace_an': 0}
-
id: 146039367
{'hecke_orbit_code': 49539595934644963, 'n': 26, 'trace_an': -4}
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id: 146039368
{'hecke_orbit_code': 49539595934644963, 'n': 27, 'trace_an': 0}
-
id: 146039369
{'hecke_orbit_code': 49539595934644963, 'n': 28, 'trace_an': 0}
-
id: 146039370
{'hecke_orbit_code': 49539595934644963, 'n': 29, 'trace_an': 2}
-
id: 146039371
{'hecke_orbit_code': 49539595934644963, 'n': 30, 'trace_an': 0}
-
id: 146039372
{'hecke_orbit_code': 49539595934644963, 'n': 31, 'trace_an': 2}
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id: 146039373
{'hecke_orbit_code': 49539595934644963, 'n': 32, 'trace_an': 5}
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id: 146039374
{'hecke_orbit_code': 49539595934644963, 'n': 33, 'trace_an': 0}
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id: 146039375
{'hecke_orbit_code': 49539595934644963, 'n': 34, 'trace_an': -4}
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id: 146039376
{'hecke_orbit_code': 49539595934644963, 'n': 35, 'trace_an': 0}
-
id: 146039377
{'hecke_orbit_code': 49539595934644963, 'n': 36, 'trace_an': 0}
-
id: 146039378
{'hecke_orbit_code': 49539595934644963, 'n': 37, 'trace_an': -6}
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id: 146039379
{'hecke_orbit_code': 49539595934644963, 'n': 38, 'trace_an': 4}
-
id: 146039380
{'hecke_orbit_code': 49539595934644963, 'n': 39, 'trace_an': 0}
-
id: 146039381
{'hecke_orbit_code': 49539595934644963, 'n': 40, 'trace_an': 0}
-
id: 146039382
{'hecke_orbit_code': 49539595934644963, 'n': 41, 'trace_an': -6}
-
id: 146039383
{'hecke_orbit_code': 49539595934644963, 'n': 42, 'trace_an': 0}
-
id: 146039384
{'hecke_orbit_code': 49539595934644963, 'n': 43, 'trace_an': 0}
-
id: 146039385
{'hecke_orbit_code': 49539595934644963, 'n': 44, 'trace_an': 0}
-
id: 146039386
{'hecke_orbit_code': 49539595934644963, 'n': 45, 'trace_an': 0}
-
id: 146039387
{'hecke_orbit_code': 49539595934644963, 'n': 46, 'trace_an': 8}
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id: 146039388
{'hecke_orbit_code': 49539595934644963, 'n': 47, 'trace_an': 12}
-
id: 146039389
{'hecke_orbit_code': 49539595934644963, 'n': 48, 'trace_an': 0}
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id: 146039390
{'hecke_orbit_code': 49539595934644963, 'n': 49, 'trace_an': -7}
-
id: 146039391
{'hecke_orbit_code': 49539595934644963, 'n': 50, 'trace_an': 0}
-
id: 146039392
{'hecke_orbit_code': 49539595934644963, 'n': 51, 'trace_an': 0}
-
id: 146039393
{'hecke_orbit_code': 49539595934644963, 'n': 52, 'trace_an': 4}
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id: 146039394
{'hecke_orbit_code': 49539595934644963, 'n': 53, 'trace_an': -2}
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id: 146039395
{'hecke_orbit_code': 49539595934644963, 'n': 54, 'trace_an': 0}
-
id: 146039396
{'hecke_orbit_code': 49539595934644963, 'n': 55, 'trace_an': 0}
-
id: 146039397
{'hecke_orbit_code': 49539595934644963, 'n': 56, 'trace_an': 0}
-
id: 146039398
{'hecke_orbit_code': 49539595934644963, 'n': 57, 'trace_an': 0}
-
id: 146039399
{'hecke_orbit_code': 49539595934644963, 'n': 58, 'trace_an': 2}
-
id: 146039400
{'hecke_orbit_code': 49539595934644963, 'n': 59, 'trace_an': 6}
-
id: 146039401
{'hecke_orbit_code': 49539595934644963, 'n': 60, 'trace_an': 0}
-
id: 146039402
{'hecke_orbit_code': 49539595934644963, 'n': 61, 'trace_an': 14}
-
id: 146039403
{'hecke_orbit_code': 49539595934644963, 'n': 62, 'trace_an': 2}
-
id: 146039404
{'hecke_orbit_code': 49539595934644963, 'n': 63, 'trace_an': 0}
-
id: 146039405
{'hecke_orbit_code': 49539595934644963, 'n': 64, 'trace_an': 7}
-
id: 146039406
{'hecke_orbit_code': 49539595934644963, 'n': 65, 'trace_an': 0}
-
id: 146039407
{'hecke_orbit_code': 49539595934644963, 'n': 66, 'trace_an': 0}
-
id: 146039408
{'hecke_orbit_code': 49539595934644963, 'n': 67, 'trace_an': 1}
-
id: 146039409
{'hecke_orbit_code': 49539595934644963, 'n': 68, 'trace_an': 4}
-
id: 146039410
{'hecke_orbit_code': 49539595934644963, 'n': 69, 'trace_an': 0}
-
id: 146039411
{'hecke_orbit_code': 49539595934644963, 'n': 70, 'trace_an': 0}
-
id: 146039412
{'hecke_orbit_code': 49539595934644963, 'n': 71, 'trace_an': -14}
-
id: 146039413
{'hecke_orbit_code': 49539595934644963, 'n': 72, 'trace_an': 0}
-
id: 146039414
{'hecke_orbit_code': 49539595934644963, 'n': 73, 'trace_an': -2}
-
id: 146039415
{'hecke_orbit_code': 49539595934644963, 'n': 74, 'trace_an': -6}
-
id: 146039416
{'hecke_orbit_code': 49539595934644963, 'n': 75, 'trace_an': 0}
-
id: 146039417
{'hecke_orbit_code': 49539595934644963, 'n': 76, 'trace_an': -4}
-
id: 146039418
{'hecke_orbit_code': 49539595934644963, 'n': 77, 'trace_an': 0}
-
id: 146039419
{'hecke_orbit_code': 49539595934644963, 'n': 78, 'trace_an': 0}
-
id: 146039420
{'hecke_orbit_code': 49539595934644963, 'n': 79, 'trace_an': -10}
-
id: 146039421
{'hecke_orbit_code': 49539595934644963, 'n': 80, 'trace_an': 0}
-
id: 146039422
{'hecke_orbit_code': 49539595934644963, 'n': 81, 'trace_an': 0}
-
id: 146039423
{'hecke_orbit_code': 49539595934644963, 'n': 82, 'trace_an': -6}
-
id: 146039424
{'hecke_orbit_code': 49539595934644963, 'n': 83, 'trace_an': -16}
-
id: 146039425
{'hecke_orbit_code': 49539595934644963, 'n': 84, 'trace_an': 0}
-
id: 146039426
{'hecke_orbit_code': 49539595934644963, 'n': 85, 'trace_an': 0}
-
id: 146039427
{'hecke_orbit_code': 49539595934644963, 'n': 86, 'trace_an': 0}
-
id: 146039428
{'hecke_orbit_code': 49539595934644963, 'n': 87, 'trace_an': 0}
-
id: 146039429
{'hecke_orbit_code': 49539595934644963, 'n': 88, 'trace_an': 0}
-
id: 146039430
{'hecke_orbit_code': 49539595934644963, 'n': 89, 'trace_an': 18}
-
id: 146039431
{'hecke_orbit_code': 49539595934644963, 'n': 90, 'trace_an': 0}
-
id: 146039432
{'hecke_orbit_code': 49539595934644963, 'n': 91, 'trace_an': 0}
-
id: 146039433
{'hecke_orbit_code': 49539595934644963, 'n': 92, 'trace_an': -8}
-
id: 146039434
{'hecke_orbit_code': 49539595934644963, 'n': 93, 'trace_an': 0}
-
id: 146039435
{'hecke_orbit_code': 49539595934644963, 'n': 94, 'trace_an': 12}
-
id: 146039436
{'hecke_orbit_code': 49539595934644963, 'n': 95, 'trace_an': 0}
-
id: 146039437
{'hecke_orbit_code': 49539595934644963, 'n': 96, 'trace_an': 0}
-
id: 146039438
{'hecke_orbit_code': 49539595934644963, 'n': 97, 'trace_an': 8}
-
id: 146039439
{'hecke_orbit_code': 49539595934644963, 'n': 98, 'trace_an': -7}
-
id: 146039440
{'hecke_orbit_code': 49539595934644963, 'n': 99, 'trace_an': 0}
-
id: 146039441
{'hecke_orbit_code': 49539595934644963, 'n': 100, 'trace_an': 0}