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mf_newforms • Show schema
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{'Nk2': 40920, 'analytic_conductor': 81.68696126776983, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [11, 1], [31, 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': [10230, 1, [6821, 2047, 1861, 9241], [2, 2, 2, 2]], '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': 0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660935158, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '10230.2.a.b', 'level': 10230, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 11, 31], 'level_radical': 10230, 'minimal_twist': '10230.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/10230/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10230.2.a', 'trace_display': [-1, -1, -1, 0], 'traces': [1, -1, -1, 1, -1, 1, 0, -1, 1, 1, -1, -1, -2, 0, 1, 1, 2, -1, -4, -1, 0, 1, 4, 1, 1, 2, -1, 0, 2, -1, -1, -1, 1, -2, 0, 1, 6, 4, 2, 1, 2, 0, -4, -1, -1, -4, 0, -1, -7, -1, -2, -2, -14, 1, 1, 0, 4, -2, -12, 1, 10, 1, 0, 1, 2, -1, 8, 2, -4, 0, 12, -1, -6, -6, -1, -4, 0, -2, 8, -1, 1, -2, 12, 0, -2, 4, -2, 1, 6, 1, 0, 4, 1, 0, 4, 1, 2, 7, -1, 1], 'weight': 2, 'weight_parity': 1}
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label 10230.2.a.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [4, 9, 8, 4, 8, 5, 6, 6, 6, 6, 7, 6, 4, 8, 7, 6, 8, 4, 4, 9, 7, 7, 7, 4, 5, 8, 8, 4, 8, 3, 3, 10], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 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], 'ALdims_old': [58, 69, 70, 63, 65, 65, 64, 67, 67, 62, 67, 67, 65, 66, 67, 63, 66, 66, 69, 62, 61, 65, 68, 67, 63, 66, 63, 67, 58, 71, 74, 59], 'Nk2': 40920, 'analytic_conductor': 81.68696126776983, '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': [10230, 1, [6821, 2047, 1861, 9241], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2289, 'dim': 199, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_orbit_code': 33564662, '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, 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, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9], 'label': '10230.2.a', 'level': 10230, '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': True, 'level_primes': [2, 3, 5, 11, 31], 'level_radical': 10230, 'mf_dim': 2320, 'mf_new_dim': 199, 'num_forms': 74, 'plus_dim': 76, 'prim_orbit_index': 1, 'relative_dim': 199, 'sturm_bound': 4608, 'trace_display': [-1, -1, -1, -8], 'traces': [199, -1, -1, 199, -1, -1, -8, -1, 199, -1, -1, -1, -14, -8, -1, 199, 14, -1, 12, -1, -8, -1, 8, -1, 199, -14, -1, -8, 2, -1, -1, -1, 7, -2, -8, 199, 10, -20, -14, -1, -10, 8, -12, -1, -1, -24, 48, -1, 191, -1, -18, -14, 10, -1, -1, -8, -20, -14, 36, -1, 2, -1, -8, 199, 18, -1, 12, 14, 24, 8, 56, -1, -10, -6, -1, 12, 24, 2, 48, -1, 199, 38, 44, -8, -18, 52, 34, -1, 70, -1, 16, 8, 7, 0, 76, -1, 30, 71, -1, 199, 58, 14, 24, -14, -8, 74, -12, 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source_label 10230.2.a.b does not appear in mf_twists_nf
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hecke_orbit_code 4503599660935158 does not appear in mf_hecke_charpolys
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label 10230.2.a.b does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 119136342
{'hecke_orbit_code': 4503599660935158, 'n': 1, 'trace_an': 1}
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id: 119136343
{'hecke_orbit_code': 4503599660935158, 'n': 2, 'trace_an': -1}
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id: 119136344
{'hecke_orbit_code': 4503599660935158, 'n': 3, 'trace_an': -1}
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id: 119136345
{'hecke_orbit_code': 4503599660935158, 'n': 4, 'trace_an': 1}
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id: 119136346
{'hecke_orbit_code': 4503599660935158, 'n': 5, 'trace_an': -1}
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id: 119136347
{'hecke_orbit_code': 4503599660935158, 'n': 6, 'trace_an': 1}
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id: 119136348
{'hecke_orbit_code': 4503599660935158, 'n': 7, 'trace_an': 0}
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id: 119136349
{'hecke_orbit_code': 4503599660935158, 'n': 8, 'trace_an': -1}
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id: 119136350
{'hecke_orbit_code': 4503599660935158, 'n': 9, 'trace_an': 1}
-
id: 119136351
{'hecke_orbit_code': 4503599660935158, 'n': 10, 'trace_an': 1}
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id: 119136352
{'hecke_orbit_code': 4503599660935158, 'n': 11, 'trace_an': -1}
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id: 119136353
{'hecke_orbit_code': 4503599660935158, 'n': 12, 'trace_an': -1}
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id: 119136354
{'hecke_orbit_code': 4503599660935158, 'n': 13, 'trace_an': -2}
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id: 119136355
{'hecke_orbit_code': 4503599660935158, 'n': 14, 'trace_an': 0}
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id: 119136356
{'hecke_orbit_code': 4503599660935158, 'n': 15, 'trace_an': 1}
-
id: 119136357
{'hecke_orbit_code': 4503599660935158, 'n': 16, 'trace_an': 1}
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id: 119136358
{'hecke_orbit_code': 4503599660935158, 'n': 17, 'trace_an': 2}
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id: 119136359
{'hecke_orbit_code': 4503599660935158, 'n': 18, 'trace_an': -1}
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id: 119136360
{'hecke_orbit_code': 4503599660935158, 'n': 19, 'trace_an': -4}
-
id: 119136361
{'hecke_orbit_code': 4503599660935158, 'n': 20, 'trace_an': -1}
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id: 119136362
{'hecke_orbit_code': 4503599660935158, 'n': 21, 'trace_an': 0}
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id: 119136363
{'hecke_orbit_code': 4503599660935158, 'n': 22, 'trace_an': 1}
-
id: 119136364
{'hecke_orbit_code': 4503599660935158, 'n': 23, 'trace_an': 4}
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id: 119136365
{'hecke_orbit_code': 4503599660935158, 'n': 24, 'trace_an': 1}
-
id: 119136366
{'hecke_orbit_code': 4503599660935158, 'n': 25, 'trace_an': 1}
-
id: 119136367
{'hecke_orbit_code': 4503599660935158, 'n': 26, 'trace_an': 2}
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id: 119136368
{'hecke_orbit_code': 4503599660935158, 'n': 27, 'trace_an': -1}
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id: 119136369
{'hecke_orbit_code': 4503599660935158, 'n': 28, 'trace_an': 0}
-
id: 119136370
{'hecke_orbit_code': 4503599660935158, 'n': 29, 'trace_an': 2}
-
id: 119136371
{'hecke_orbit_code': 4503599660935158, 'n': 30, 'trace_an': -1}
-
id: 119136372
{'hecke_orbit_code': 4503599660935158, 'n': 31, 'trace_an': -1}
-
id: 119136373
{'hecke_orbit_code': 4503599660935158, 'n': 32, 'trace_an': -1}
-
id: 119136374
{'hecke_orbit_code': 4503599660935158, 'n': 33, 'trace_an': 1}
-
id: 119136375
{'hecke_orbit_code': 4503599660935158, 'n': 34, 'trace_an': -2}
-
id: 119136376
{'hecke_orbit_code': 4503599660935158, 'n': 35, 'trace_an': 0}
-
id: 119136377
{'hecke_orbit_code': 4503599660935158, 'n': 36, 'trace_an': 1}
-
id: 119136378
{'hecke_orbit_code': 4503599660935158, 'n': 37, 'trace_an': 6}
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id: 119136379
{'hecke_orbit_code': 4503599660935158, 'n': 38, 'trace_an': 4}
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id: 119136380
{'hecke_orbit_code': 4503599660935158, 'n': 39, 'trace_an': 2}
-
id: 119136381
{'hecke_orbit_code': 4503599660935158, 'n': 40, 'trace_an': 1}
-
id: 119136382
{'hecke_orbit_code': 4503599660935158, 'n': 41, 'trace_an': 2}
-
id: 119136383
{'hecke_orbit_code': 4503599660935158, 'n': 42, 'trace_an': 0}
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id: 119136384
{'hecke_orbit_code': 4503599660935158, 'n': 43, 'trace_an': -4}
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id: 119136385
{'hecke_orbit_code': 4503599660935158, 'n': 44, 'trace_an': -1}
-
id: 119136386
{'hecke_orbit_code': 4503599660935158, 'n': 45, 'trace_an': -1}
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id: 119136387
{'hecke_orbit_code': 4503599660935158, 'n': 46, 'trace_an': -4}
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id: 119136388
{'hecke_orbit_code': 4503599660935158, 'n': 47, 'trace_an': 0}
-
id: 119136389
{'hecke_orbit_code': 4503599660935158, 'n': 48, 'trace_an': -1}
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id: 119136390
{'hecke_orbit_code': 4503599660935158, 'n': 49, 'trace_an': -7}
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id: 119136391
{'hecke_orbit_code': 4503599660935158, 'n': 50, 'trace_an': -1}
-
id: 119136392
{'hecke_orbit_code': 4503599660935158, 'n': 51, 'trace_an': -2}
-
id: 119136393
{'hecke_orbit_code': 4503599660935158, 'n': 52, 'trace_an': -2}
-
id: 119136394
{'hecke_orbit_code': 4503599660935158, 'n': 53, 'trace_an': -14}
-
id: 119136395
{'hecke_orbit_code': 4503599660935158, 'n': 54, 'trace_an': 1}
-
id: 119136396
{'hecke_orbit_code': 4503599660935158, 'n': 55, 'trace_an': 1}
-
id: 119136397
{'hecke_orbit_code': 4503599660935158, 'n': 56, 'trace_an': 0}
-
id: 119136398
{'hecke_orbit_code': 4503599660935158, 'n': 57, 'trace_an': 4}
-
id: 119136399
{'hecke_orbit_code': 4503599660935158, 'n': 58, 'trace_an': -2}
-
id: 119136400
{'hecke_orbit_code': 4503599660935158, 'n': 59, 'trace_an': -12}
-
id: 119136401
{'hecke_orbit_code': 4503599660935158, 'n': 60, 'trace_an': 1}
-
id: 119136402
{'hecke_orbit_code': 4503599660935158, 'n': 61, 'trace_an': 10}
-
id: 119136403
{'hecke_orbit_code': 4503599660935158, 'n': 62, 'trace_an': 1}
-
id: 119136404
{'hecke_orbit_code': 4503599660935158, 'n': 63, 'trace_an': 0}
-
id: 119136405
{'hecke_orbit_code': 4503599660935158, 'n': 64, 'trace_an': 1}
-
id: 119136406
{'hecke_orbit_code': 4503599660935158, 'n': 65, 'trace_an': 2}
-
id: 119136407
{'hecke_orbit_code': 4503599660935158, 'n': 66, 'trace_an': -1}
-
id: 119136408
{'hecke_orbit_code': 4503599660935158, 'n': 67, 'trace_an': 8}
-
id: 119136409
{'hecke_orbit_code': 4503599660935158, 'n': 68, 'trace_an': 2}
-
id: 119136410
{'hecke_orbit_code': 4503599660935158, 'n': 69, 'trace_an': -4}
-
id: 119136411
{'hecke_orbit_code': 4503599660935158, 'n': 70, 'trace_an': 0}
-
id: 119136412
{'hecke_orbit_code': 4503599660935158, 'n': 71, 'trace_an': 12}
-
id: 119136413
{'hecke_orbit_code': 4503599660935158, 'n': 72, 'trace_an': -1}
-
id: 119136414
{'hecke_orbit_code': 4503599660935158, 'n': 73, 'trace_an': -6}
-
id: 119136415
{'hecke_orbit_code': 4503599660935158, 'n': 74, 'trace_an': -6}
-
id: 119136416
{'hecke_orbit_code': 4503599660935158, 'n': 75, 'trace_an': -1}
-
id: 119136417
{'hecke_orbit_code': 4503599660935158, 'n': 76, 'trace_an': -4}
-
id: 119136418
{'hecke_orbit_code': 4503599660935158, 'n': 77, 'trace_an': 0}
-
id: 119136419
{'hecke_orbit_code': 4503599660935158, 'n': 78, 'trace_an': -2}
-
id: 119136420
{'hecke_orbit_code': 4503599660935158, 'n': 79, 'trace_an': 8}
-
id: 119136421
{'hecke_orbit_code': 4503599660935158, 'n': 80, 'trace_an': -1}
-
id: 119136422
{'hecke_orbit_code': 4503599660935158, 'n': 81, 'trace_an': 1}
-
id: 119136423
{'hecke_orbit_code': 4503599660935158, 'n': 82, 'trace_an': -2}
-
id: 119136424
{'hecke_orbit_code': 4503599660935158, 'n': 83, 'trace_an': 12}
-
id: 119136425
{'hecke_orbit_code': 4503599660935158, 'n': 84, 'trace_an': 0}
-
id: 119136426
{'hecke_orbit_code': 4503599660935158, 'n': 85, 'trace_an': -2}
-
id: 119136427
{'hecke_orbit_code': 4503599660935158, 'n': 86, 'trace_an': 4}
-
id: 119136428
{'hecke_orbit_code': 4503599660935158, 'n': 87, 'trace_an': -2}
-
id: 119136429
{'hecke_orbit_code': 4503599660935158, 'n': 88, 'trace_an': 1}
-
id: 119136430
{'hecke_orbit_code': 4503599660935158, 'n': 89, 'trace_an': 6}
-
id: 119136431
{'hecke_orbit_code': 4503599660935158, 'n': 90, 'trace_an': 1}
-
id: 119136432
{'hecke_orbit_code': 4503599660935158, 'n': 91, 'trace_an': 0}
-
id: 119136433
{'hecke_orbit_code': 4503599660935158, 'n': 92, 'trace_an': 4}
-
id: 119136434
{'hecke_orbit_code': 4503599660935158, 'n': 93, 'trace_an': 1}
-
id: 119136435
{'hecke_orbit_code': 4503599660935158, 'n': 94, 'trace_an': 0}
-
id: 119136436
{'hecke_orbit_code': 4503599660935158, 'n': 95, 'trace_an': 4}
-
id: 119136437
{'hecke_orbit_code': 4503599660935158, 'n': 96, 'trace_an': 1}
-
id: 119136438
{'hecke_orbit_code': 4503599660935158, 'n': 97, 'trace_an': 2}
-
id: 119136439
{'hecke_orbit_code': 4503599660935158, 'n': 98, 'trace_an': 7}
-
id: 119136440
{'hecke_orbit_code': 4503599660935158, 'n': 99, 'trace_an': -1}
-
id: 119136441
{'hecke_orbit_code': 4503599660935158, 'n': 100, 'trace_an': 1}