-
mf_newforms • Show schema
Hide schema
{'Nk2': 133128, 'analytic_conductor': 265.75810800722536, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [43, -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': [33282, 1, [29585, 7399], [51, 51]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402112514, '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': '33282.2.a.by', 'level': 33282, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 43], 'level_radical': 258, 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '33282.2.a', 'trace_display': [3, 0, -1, -1], 'traces': [3, 3, 0, 3, -1, 0, -1, 3, 0, -1, 5, 0, 6, -1, 0, 3, 13, 0, -2, -1, 0, 5, 15, 0, -10, 6, 0, -1, -19, 0, 9, 3, 0, 13, 5, 0, 3, -2, 0, -1, -4, 0, 0, 5, 0, 15, 22, 0, -16, -10, 0, 6, 8, 0, 10, -1, 0, -19, 16, 0, 24, 9, 0, 3, -2, 0, -9, 13, 0, 5, 7, 0, -16, 3, 0, -2, 10, 0, 4, -1, 0, -4, -3, 0, -2, 0, 0, 5, -17, 0, -2, 15, 0, 22, 3, 0, 0, -16, 0, -10], 'weight': 2, 'weight_parity': 1}
-
label 33282.2.a.by does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [81, 70, 115, 110, 81, 70, 105, 121], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [43, 44, 44, 44, 44, 44, 44, 44], 'ALdims_old': [591, 633, 578, 572, 612, 613, 588, 561], 'Nk2': 133128, 'analytic_conductor': 265.75810800722536, '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': [33282, 1, [29585, 7399], [1, 1]], 'conrey_index': 1, 'cusp_dim': 5501, 'dim': 753, 'eis_dim': 351, 'eis_new_dim': 0, 'hecke_orbit_code': 33587714, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 20, 20, 20, 20, 24, 24, 24, 24, 40, 40], 'label': '33282.2.a', 'level': 33282, '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, 3, 43], 'level_radical': 258, 'mf_dim': 5852, 'mf_new_dim': 753, 'num_forms': 109, 'plus_dim': 366, 'prim_orbit_index': 1, 'relative_dim': 753, 'sturm_bound': 11352, 'trace_display': [1, 0, -2, -4], 'traces': [753, 1, 0, 753, -2, 0, -4, 1, 0, 0, -6, 0, 4, 4, 0, 753, -6, 0, 8, -2, 0, -8, -20, 0, 757, 2, 0, -4, -6, 0, 8, 1, 0, 6, 0, 0, 22, -2, 0, 0, 2, 0, 0, -6, 0, -4, -4, 0, 753, -9, 0, 4, -12, 0, -4, 4, 0, 12, 10, 0, -30, -4, 0, 753, 0, 0, 2, -6, 0, -20, -24, 0, -2, 0, 0, 8, 0, 0, 12, -2, 0, -18, -34, 0, 8, 0, 0, -8, 18, 0, 16, -20, 0, 4, -8, 0, 2, 9, 0, 757, 52, 0, 0, 2, 0, 10, 54, 0, 20, -44, 0, -4, 62, 0, 0, -6, 0, 16, -16, 0, 763, 0, 0, 8, 48, 0, -28, 1, 0, 48, -44, 0, 44, 20, 0, 6, -6, 0, 30, 0, 0, 8, 28, 0, 52, 18, 0, 22, 74, 0, 44, -2, 0, 28, -20, 0, 50, 20, 0, 0, 36, 0, 8, 2, 0, -48, 28, 0, 801, 56, 0, 0, -64, 0, -28, -6, 0, 46, 56, 0, 0, -64, 0, -4, -8, 0, -76, -4, 0, 44, -96, 0, -34, 34, 0, 753, 48, 0, -20, -9, 0, 10, 76, 0, -32, -12, 0, 4, -60, 0, -52, -12, 0, -28, 0, 0, 56, 10, 0, -4, -84, 0, 64, 4, 0, 30, 48, 0, 44, 24, 0, 12, 50, 0, -76, 10, 0, 20, -32, 0, 26, 69, 0, -30, -66, 0, -36, -4, 0, -12, -14, 0, 56, 44, 0, 753, 2, 0, 28, 0, 0, -10, -88, 0, 4, -44, 0, 2, 28, 0, 0, -6, 0, 42, -26, 0, 2, 16, 0, -20, -18, 0, 10, -24, 0, -16, -4, 0, 739, 12, 0, -2, -20, 0, 4, 0, 0, -16, -24, 0, 0, -12, 0, 8, -24, 0, -42, 0, 0, 0, 8, 0, -6, 20, 0, 12, -60, 0, -8, -2, 0, 24, 12, 0, 4, 2, 0, -18, -80, 0, 52, -34, 0, -16, -76, 0, -30, 87, 0, 8, -72, 0, 40, 0, 0, 6, 32, 0, 6, -64, 0, -8, 14, 0, -92, 18, 0, -2, 100, 0, 743, -46, 0, 16, 148, 0, -48, -20, 0, 84, 56, 0, 42, -8, 0, 4, 60, 0, 10, -8, 0, -52, 12, 0, 68, 34, 0, 2, -66, 0, -64, 9, 0, 18, 24, 0, 32, -8, 0, 757, 14, 0, -128, 52, 0, 24, 120, 0, -118, 24, 0, 0, -40, 0, -120, 2, 0, 0, 68, 0, -6, 2, 0, 10, -62, 0, -24, 54, 0, 0, -112, 0, 38, -96, 0, 20, 68, 0, -48, -44, 0, 28, -94, 0, 4, -84, 0, -4, -102, 0, -76, 62, 0, 30, 12, 0, -94, 30, 0, 0, 52, 0, 72, -6, 0, -50, 60, 0, 72, -88, 0, 16, 0, 0, -76, -16, 0, -12, -108, 0, -12, -34, 0, 763, 120, 0, 20, 0, 0, 12, 64, 0, -20, -36, 0, 8, -64, 0, 12, 48, 0, 4, -16, 0, -72, -92, 0, -28, -84, 0, 20, 1, 0, -74, 8, 0, -40, 24, 0, 48, -138, 0, -172, -44, 0, 88, 56, 0, 957, 48, 0, 44, -56, 0, 64, 20, 0, 10, -38, 0, -104, -60, 0, 6, -44, 0, -34, -6, 0, 24, -112, 0, -12, 56, 0, 30, 4, 0, 0, 0, 0, 22, 74, 0, 248, -40, 0, 8, -2, 0, -28, 28, 0, -132, -36, 0, 38, -29, 0, 52, 24, 0, -4, 18, 0, -54, -60, 0, -76, -88, 0, 22, -42, 0, 188, 74, 0, 44, -44, 0, -154, 0, 0, 44, -106, 0, 140, -2, 0, 68, 84, 0, 64, 60, 0, 28, 182, 0, 74, -20, 0, -56, 224, 0, 873, -138, 0, 50, 108, 0, 84, 20, 0, -82, 108, 0, 24, -16, 0, 0, -10, 0, 30, 36, 0, -52, -104, 0, 48, 46, 0, 8, 54, 0, -52, 2, 0, -64, 38, 0, 80, 78, 0, -48, 264, 0, -36, 28, 0, -32, -112, 0, 194, 82, 0, 801, 30, 0, 132, 56, 0, 0, 74, 0, 80, 116, 0, 0, -148, 0, 36, -64, 0, -62, 120, 0, 28, -96, 0, -28, -108, 0, 36, -6, 0, -66, -232, 0, -32, 152, 0, 46, 108, 0, 152, 56, 0, -44, 108, 0, -116, -131, 0, 0, -50, 0, -96, -64, 0, 72, 0, 0, 222, -52, 0, -4, -52, 0, -52, -8, 0, -40, 208, 0, -120, 40, 0, -76, 80, 0, -68, -4, 0, -104, 0, 0, -146, 100, 0, 44, -46, 0, 168, -96, 0, 68, -156, 0, -14, 72, 0, -34, 42, 0, 268, 34, 0, 84, -232, 0, 8, -72, 0, 753, 116, 0, -70, 48, 0, -20, -160, 0, 100, -6, 0, -20, -8, 0, 128, -9, 0, -42, 104, 0, 40, -8, 0, 10, -78, 0, -72, 76, 0, 8, 64, 0, 0, 46, 0, -32, 116, 0, -88, -12, 0, -12, 58, 0, 62, 80, 0, 4, -106, 0, 16, -60, 0, -66, -32, 0, 769, -24, 0, -52, -158, 0, -52, -12, 0, 82, -68, 0, 12, 200, 0, -28, -30, 0, -40, 0, 0, -140, 52, 0, 140, -34, 0, 56, 44, 0, -88, 10, 0, 4, 176, 0, 44, -60, 0, -4, 82, 0, 42, -84, 0, -84, -32, 0, -120, 20, 0, 64, 44, 0, -52, 4, 0, 74, -84, 0, -52, -36, 0, 30, -16, 0, -22, 48, 0, 80, -4, 0, 120, -18, 0, 44, 4, 0, 120, 24, 0, 26, 88, 0, 282, 60, 0, 12, 82, 0, 40, 50, 0, 70, 44, 0, -134, 116, 0, -76, -48, 0, -20, 10, 0, 0, -94, 0, -68, -158, 0, 20, 154, 0, 84, -32, 0, -44, -80, 0, 517, -120, 0, 26, -8, 0, -184, 69, 0, 44, -154, 0, -8, 132, 0, -30, 34, 0, -56, -66, 0, -62, -4, 0, -64, -88, 0, -36, 0, 0, 60, -4, 0, 24, -8, 0, 54, 6, 0, -12], 'weight': 2, 'weight_parity': 1}
-
source_label 33282.2.a.by does not appear in mf_twists_nf
-
hecke_orbit_code 225179981402112514 does not appear in mf_hecke_charpolys
-
label 33282.2.a.by does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 173358442
{'hecke_orbit_code': 225179981402112514, 'n': 1, 'trace_an': 3}
-
id: 173358443
{'hecke_orbit_code': 225179981402112514, 'n': 2, 'trace_an': 3}
-
id: 173358444
{'hecke_orbit_code': 225179981402112514, 'n': 3, 'trace_an': 0}
-
id: 173358445
{'hecke_orbit_code': 225179981402112514, 'n': 4, 'trace_an': 3}
-
id: 173358446
{'hecke_orbit_code': 225179981402112514, 'n': 5, 'trace_an': -1}
-
id: 173358447
{'hecke_orbit_code': 225179981402112514, 'n': 6, 'trace_an': 0}
-
id: 173358448
{'hecke_orbit_code': 225179981402112514, 'n': 7, 'trace_an': -1}
-
id: 173358449
{'hecke_orbit_code': 225179981402112514, 'n': 8, 'trace_an': 3}
-
id: 173358450
{'hecke_orbit_code': 225179981402112514, 'n': 9, 'trace_an': 0}
-
id: 173358451
{'hecke_orbit_code': 225179981402112514, 'n': 10, 'trace_an': -1}
-
id: 173358452
{'hecke_orbit_code': 225179981402112514, 'n': 11, 'trace_an': 5}
-
id: 173358453
{'hecke_orbit_code': 225179981402112514, 'n': 12, 'trace_an': 0}
-
id: 173358454
{'hecke_orbit_code': 225179981402112514, 'n': 13, 'trace_an': 6}
-
id: 173358455
{'hecke_orbit_code': 225179981402112514, 'n': 14, 'trace_an': -1}
-
id: 173358456
{'hecke_orbit_code': 225179981402112514, 'n': 15, 'trace_an': 0}
-
id: 173358457
{'hecke_orbit_code': 225179981402112514, 'n': 16, 'trace_an': 3}
-
id: 173358458
{'hecke_orbit_code': 225179981402112514, 'n': 17, 'trace_an': 13}
-
id: 173358459
{'hecke_orbit_code': 225179981402112514, 'n': 18, 'trace_an': 0}
-
id: 173358460
{'hecke_orbit_code': 225179981402112514, 'n': 19, 'trace_an': -2}
-
id: 173358461
{'hecke_orbit_code': 225179981402112514, 'n': 20, 'trace_an': -1}
-
id: 173358462
{'hecke_orbit_code': 225179981402112514, 'n': 21, 'trace_an': 0}
-
id: 173358463
{'hecke_orbit_code': 225179981402112514, 'n': 22, 'trace_an': 5}
-
id: 173358464
{'hecke_orbit_code': 225179981402112514, 'n': 23, 'trace_an': 15}
-
id: 173358465
{'hecke_orbit_code': 225179981402112514, 'n': 24, 'trace_an': 0}
-
id: 173358466
{'hecke_orbit_code': 225179981402112514, 'n': 25, 'trace_an': -10}
-
id: 173358467
{'hecke_orbit_code': 225179981402112514, 'n': 26, 'trace_an': 6}
-
id: 173358468
{'hecke_orbit_code': 225179981402112514, 'n': 27, 'trace_an': 0}
-
id: 173358469
{'hecke_orbit_code': 225179981402112514, 'n': 28, 'trace_an': -1}
-
id: 173358470
{'hecke_orbit_code': 225179981402112514, 'n': 29, 'trace_an': -19}
-
id: 173358471
{'hecke_orbit_code': 225179981402112514, 'n': 30, 'trace_an': 0}
-
id: 173358472
{'hecke_orbit_code': 225179981402112514, 'n': 31, 'trace_an': 9}
-
id: 173358473
{'hecke_orbit_code': 225179981402112514, 'n': 32, 'trace_an': 3}
-
id: 173358474
{'hecke_orbit_code': 225179981402112514, 'n': 33, 'trace_an': 0}
-
id: 173358475
{'hecke_orbit_code': 225179981402112514, 'n': 34, 'trace_an': 13}
-
id: 173358476
{'hecke_orbit_code': 225179981402112514, 'n': 35, 'trace_an': 5}
-
id: 173358477
{'hecke_orbit_code': 225179981402112514, 'n': 36, 'trace_an': 0}
-
id: 173358478
{'hecke_orbit_code': 225179981402112514, 'n': 37, 'trace_an': 3}
-
id: 173358479
{'hecke_orbit_code': 225179981402112514, 'n': 38, 'trace_an': -2}
-
id: 173358480
{'hecke_orbit_code': 225179981402112514, 'n': 39, 'trace_an': 0}
-
id: 173358481
{'hecke_orbit_code': 225179981402112514, 'n': 40, 'trace_an': -1}
-
id: 173358482
{'hecke_orbit_code': 225179981402112514, 'n': 41, 'trace_an': -4}
-
id: 173358483
{'hecke_orbit_code': 225179981402112514, 'n': 42, 'trace_an': 0}
-
id: 173358484
{'hecke_orbit_code': 225179981402112514, 'n': 43, 'trace_an': 0}
-
id: 173358485
{'hecke_orbit_code': 225179981402112514, 'n': 44, 'trace_an': 5}
-
id: 173358486
{'hecke_orbit_code': 225179981402112514, 'n': 45, 'trace_an': 0}
-
id: 173358487
{'hecke_orbit_code': 225179981402112514, 'n': 46, 'trace_an': 15}
-
id: 173358488
{'hecke_orbit_code': 225179981402112514, 'n': 47, 'trace_an': 22}
-
id: 173358489
{'hecke_orbit_code': 225179981402112514, 'n': 48, 'trace_an': 0}
-
id: 173358490
{'hecke_orbit_code': 225179981402112514, 'n': 49, 'trace_an': -16}
-
id: 173358491
{'hecke_orbit_code': 225179981402112514, 'n': 50, 'trace_an': -10}
-
id: 173358492
{'hecke_orbit_code': 225179981402112514, 'n': 51, 'trace_an': 0}
-
id: 173358493
{'hecke_orbit_code': 225179981402112514, 'n': 52, 'trace_an': 6}
-
id: 173358494
{'hecke_orbit_code': 225179981402112514, 'n': 53, 'trace_an': 8}
-
id: 173358495
{'hecke_orbit_code': 225179981402112514, 'n': 54, 'trace_an': 0}
-
id: 173358496
{'hecke_orbit_code': 225179981402112514, 'n': 55, 'trace_an': 10}
-
id: 173358497
{'hecke_orbit_code': 225179981402112514, 'n': 56, 'trace_an': -1}
-
id: 173358498
{'hecke_orbit_code': 225179981402112514, 'n': 57, 'trace_an': 0}
-
id: 173358499
{'hecke_orbit_code': 225179981402112514, 'n': 58, 'trace_an': -19}
-
id: 173358500
{'hecke_orbit_code': 225179981402112514, 'n': 59, 'trace_an': 16}
-
id: 173358501
{'hecke_orbit_code': 225179981402112514, 'n': 60, 'trace_an': 0}
-
id: 173358502
{'hecke_orbit_code': 225179981402112514, 'n': 61, 'trace_an': 24}
-
id: 173358503
{'hecke_orbit_code': 225179981402112514, 'n': 62, 'trace_an': 9}
-
id: 173358504
{'hecke_orbit_code': 225179981402112514, 'n': 63, 'trace_an': 0}
-
id: 173358505
{'hecke_orbit_code': 225179981402112514, 'n': 64, 'trace_an': 3}
-
id: 173358506
{'hecke_orbit_code': 225179981402112514, 'n': 65, 'trace_an': -2}
-
id: 173358507
{'hecke_orbit_code': 225179981402112514, 'n': 66, 'trace_an': 0}
-
id: 173358508
{'hecke_orbit_code': 225179981402112514, 'n': 67, 'trace_an': -9}
-
id: 173358509
{'hecke_orbit_code': 225179981402112514, 'n': 68, 'trace_an': 13}
-
id: 173358510
{'hecke_orbit_code': 225179981402112514, 'n': 69, 'trace_an': 0}
-
id: 173358511
{'hecke_orbit_code': 225179981402112514, 'n': 70, 'trace_an': 5}
-
id: 173358512
{'hecke_orbit_code': 225179981402112514, 'n': 71, 'trace_an': 7}
-
id: 173358513
{'hecke_orbit_code': 225179981402112514, 'n': 72, 'trace_an': 0}
-
id: 173358514
{'hecke_orbit_code': 225179981402112514, 'n': 73, 'trace_an': -16}
-
id: 173358515
{'hecke_orbit_code': 225179981402112514, 'n': 74, 'trace_an': 3}
-
id: 173358516
{'hecke_orbit_code': 225179981402112514, 'n': 75, 'trace_an': 0}
-
id: 173358517
{'hecke_orbit_code': 225179981402112514, 'n': 76, 'trace_an': -2}
-
id: 173358518
{'hecke_orbit_code': 225179981402112514, 'n': 77, 'trace_an': 10}
-
id: 173358519
{'hecke_orbit_code': 225179981402112514, 'n': 78, 'trace_an': 0}
-
id: 173358520
{'hecke_orbit_code': 225179981402112514, 'n': 79, 'trace_an': 4}
-
id: 173358521
{'hecke_orbit_code': 225179981402112514, 'n': 80, 'trace_an': -1}
-
id: 173358522
{'hecke_orbit_code': 225179981402112514, 'n': 81, 'trace_an': 0}
-
id: 173358523
{'hecke_orbit_code': 225179981402112514, 'n': 82, 'trace_an': -4}
-
id: 173358524
{'hecke_orbit_code': 225179981402112514, 'n': 83, 'trace_an': -3}
-
id: 173358525
{'hecke_orbit_code': 225179981402112514, 'n': 84, 'trace_an': 0}
-
id: 173358526
{'hecke_orbit_code': 225179981402112514, 'n': 85, 'trace_an': -2}
-
id: 173358527
{'hecke_orbit_code': 225179981402112514, 'n': 86, 'trace_an': 0}
-
id: 173358528
{'hecke_orbit_code': 225179981402112514, 'n': 87, 'trace_an': 0}
-
id: 173358529
{'hecke_orbit_code': 225179981402112514, 'n': 88, 'trace_an': 5}
-
id: 173358530
{'hecke_orbit_code': 225179981402112514, 'n': 89, 'trace_an': -17}
-
id: 173358531
{'hecke_orbit_code': 225179981402112514, 'n': 90, 'trace_an': 0}
-
id: 173358532
{'hecke_orbit_code': 225179981402112514, 'n': 91, 'trace_an': -2}
-
id: 173358533
{'hecke_orbit_code': 225179981402112514, 'n': 92, 'trace_an': 15}
-
id: 173358534
{'hecke_orbit_code': 225179981402112514, 'n': 93, 'trace_an': 0}
-
id: 173358535
{'hecke_orbit_code': 225179981402112514, 'n': 94, 'trace_an': 22}
-
id: 173358536
{'hecke_orbit_code': 225179981402112514, 'n': 95, 'trace_an': 3}
-
id: 173358537
{'hecke_orbit_code': 225179981402112514, 'n': 96, 'trace_an': 0}
-
id: 173358538
{'hecke_orbit_code': 225179981402112514, 'n': 97, 'trace_an': 0}
-
id: 173358539
{'hecke_orbit_code': 225179981402112514, 'n': 98, 'trace_an': -16}
-
id: 173358540
{'hecke_orbit_code': 225179981402112514, 'n': 99, 'trace_an': 0}
-
id: 173358541
{'hecke_orbit_code': 225179981402112514, 'n': 100, 'trace_an': -10}