-
mf_newforms • Show schema
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{'Nk2': 77100, 'analytic_conductor': 153.91164989601793, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [257, 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': [19275, 1, [12851, 4627, 3601], [14, 14, 14]], 'cm_discs': [], 'conrey_index': 1, 'dim': 25, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189390155, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '19275.2.a.n', 'level': 19275, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 257], 'level_radical': 3855, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 25, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '19275.2.a', 'trace_display': [-4, 25, 0, 10], 'traces': [25, -4, 25, 26, 0, -4, 10, -9, 25, 0, 18, 26, 13, 17, 0, 24, 0, -4, -12, 0, 10, 6, -1, -9, 0, 12, 25, 10, 29, 0, -9, -27, 18, 0, 0, 26, 18, -7, 13, 0, 54, 17, 13, 72, 0, 13, -2, 24, 35, 0, 0, 25, -14, -4, 0, 56, -12, -4, 33, 0, -8, 2, 10, 33, 0, 6, 19, -4, -1, 0, 49, -9, 23, 82, 0, -29, 10, 12, 7, 0, 25, -2, -3, 10, 0, 58, 29, -19, 37, 0, -20, -54, -9, 15, 0, -27, -6, -61, 18, 0], 'weight': 2, 'weight_parity': 1}
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label 19275.2.a.n does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [94, 100, 112, 100, 98, 92, 101, 113], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [207, 242, 224, 206, 220, 232, 229, 199], 'Nk2': 77100, 'analytic_conductor': 153.91164989601793, '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': [19275, 1, [12851, 4627, 3601], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2569, 'dim': 810, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_orbit_code': 33573707, 'hecke_orbit_dims': [1, 1, 2, 6, 8, 8, 9, 13, 14, 15, 15, 17, 25, 25, 28, 29, 42, 42, 42, 42, 42, 42, 43, 43, 58, 58, 70, 70], 'label': '19275.2.a', 'level': 19275, '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, 257], 'level_radical': 3855, 'mf_dim': 2592, 'mf_new_dim': 810, 'num_forms': 28, 'plus_dim': 387, 'prim_orbit_index': 1, 'relative_dim': 810, 'sturm_bound': 5160, 'trace_display': [-4, -2, 0, 0], 'traces': [810, -4, -2, 804, 0, 2, 0, -12, 810, 0, 0, 2, -8, 20, 0, 816, 0, -4, 8, 0, -16, -8, 12, -6, 0, 4, -2, -28, 0, 0, -4, -68, 12, -24, 0, 804, -40, -20, -8, 0, 16, -16, 4, -24, 0, -92, -16, -14, 822, 0, 8, -60, -24, 2, 0, -8, -12, 0, 32, 0, -8, -52, 0, 732, 0, 0, 16, 28, 0, 0, 28, -12, 4, -16, 0, 32, 28, 0, -64, 0, 810, -44, 4, -52, 0, -44, 8, -32, 52, 0, -4, -56, -24, 60, 0, -10, -12, -44, 0, 0, 36, 20, 4, -16, 0, 12, -32, 2, -20, 0, -44, -8, 8, 0, 0, -8, -8, -24, 36, 0, 794, -44, -12, 64, 0, 20, -12, -140, -40, 0, -40, 56, -16, -32, 0, -68, -56, 16, -112, 0, 12, 40, -32, 816, 0, 52, -18, -20, -72, 0, -48, -60, 0, -20, 0, 12, 36, -4, -48, 0, 36, -4, -76, -72, 0, 60, 28, -24, 894, 0, 8, -60, -12, 60, 0, -156, 12, -16, -8, 0, -4, 80, -20, -64, 0, -36, 68, -60, -16, 0, -132, 26, -46, 64, 0, 940, -8, -8, -50, 0, -20, 92, 16, 52, 0, 108, 12, -148, 108, 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-352, 0, -16, -32, 220, -84, 0, -220, -72, -56, -84, 0, 1128, -36, 28, -204, 0, -56, 304, -100, 32, 0, 80, -108, 4, 316, 0, 28, 352, 28, 444, 0, 140, 44, 44, -42, 0, -112, 0, 56, -8, 0, 264, 200, -16, -148, 0, -64, 200, -56, -56, 0, 300, 68, -52, 64, 0, -192, 100, 68, -40, 0, -114, -44, 504, 810, 0, -136, -124, -52, -140, 0, 296, -44, -44, -72, 0, -252, 320, -128, 36, 0, 408, 4, 424, -64, 0, 44, 340, 4, -160, 0, -52, -52, 4, 56, 0, 8, 224, 0, -512, 0, 112, 276, 82, -180, 0, 12, -140, -68, -44, 0, 276, -96, 20, -48, 0, -160, 532, 8, 1076, 0, 288, 120, -240, -4, 0, 64, -32, 66, 56, 0, -52, 52, 100, -224, 0, 52, 120, -52, 136, 0, 220, -4, 104, -132, 0, 268, 440, -100, 84, 0, 36, -76, -548, -4, 0, -224, -148, 236, 0, 0, 108, 204, -56, -56, 0, -48, -268, 84, -80, 0, 368, -24, 40, 412, 0, 826, 36, 42, 348, 0, 60, 364, 68, 60, 0, 28, 240, -64, -240, 0, -48, 72, 136, 152, 0, -8, -288, -16, -10, 0, 292, -94, 324, -100, 0, 96, 252, -12, 472, 0, -52, -176, 236, -8, 0, 480, -44, 324, -60, 0, 116, -8, 192, -224, 0, 0, 548, 268, 72, 0, 124, 144, 192, 248, 0, 232, 416, -48, 104, 0, -236, -276, 232, 36, 0, 68, -84, 104, 380, 0, 264, 52, 20, -132, 0, -68, 116, 264, -228, 0, 224, 4, 20, 72, 0, -296, 436, 20, 88, 0, -16, 60, -88, -56, 0, -64, 148, 0, -92, 0, -280, -140, 144, -118, 0, 124, 792, -128, 12, 0, -244, -128, -76, -160, 0, 706, 388, -32, -348, 0, 204, 164, -252, -92, 0, 104, 2, -372, -232, 0, 76, -232, 124, -340, 0, -20, 408, 140, -52, 0, -68, -36, -48, -408, 0, -528, -228, -92, 228, 0, 164, -164, 32, -44, 0], 'weight': 2, 'weight_parity': 1}
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source_label 19275.2.a.n does not appear in mf_twists_nf
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hecke_orbit_code 58546795189390155 does not appear in mf_hecke_charpolys
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label 19275.2.a.n does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 149125442
{'hecke_orbit_code': 58546795189390155, 'n': 1, 'trace_an': 25}
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id: 149125443
{'hecke_orbit_code': 58546795189390155, 'n': 2, 'trace_an': -4}
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id: 149125444
{'hecke_orbit_code': 58546795189390155, 'n': 3, 'trace_an': 25}
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id: 149125445
{'hecke_orbit_code': 58546795189390155, 'n': 4, 'trace_an': 26}
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id: 149125446
{'hecke_orbit_code': 58546795189390155, 'n': 5, 'trace_an': 0}
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id: 149125447
{'hecke_orbit_code': 58546795189390155, 'n': 6, 'trace_an': -4}
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id: 149125448
{'hecke_orbit_code': 58546795189390155, 'n': 7, 'trace_an': 10}
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id: 149125449
{'hecke_orbit_code': 58546795189390155, 'n': 8, 'trace_an': -9}
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id: 149125450
{'hecke_orbit_code': 58546795189390155, 'n': 9, 'trace_an': 25}
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id: 149125451
{'hecke_orbit_code': 58546795189390155, 'n': 10, 'trace_an': 0}
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id: 149125452
{'hecke_orbit_code': 58546795189390155, 'n': 11, 'trace_an': 18}
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id: 149125453
{'hecke_orbit_code': 58546795189390155, 'n': 12, 'trace_an': 26}
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id: 149125454
{'hecke_orbit_code': 58546795189390155, 'n': 13, 'trace_an': 13}
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id: 149125455
{'hecke_orbit_code': 58546795189390155, 'n': 14, 'trace_an': 17}
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id: 149125456
{'hecke_orbit_code': 58546795189390155, 'n': 15, 'trace_an': 0}
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id: 149125457
{'hecke_orbit_code': 58546795189390155, 'n': 16, 'trace_an': 24}
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id: 149125458
{'hecke_orbit_code': 58546795189390155, 'n': 17, 'trace_an': 0}
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id: 149125459
{'hecke_orbit_code': 58546795189390155, 'n': 18, 'trace_an': -4}
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id: 149125460
{'hecke_orbit_code': 58546795189390155, 'n': 19, 'trace_an': -12}
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id: 149125461
{'hecke_orbit_code': 58546795189390155, 'n': 20, 'trace_an': 0}
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id: 149125462
{'hecke_orbit_code': 58546795189390155, 'n': 21, 'trace_an': 10}
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id: 149125463
{'hecke_orbit_code': 58546795189390155, 'n': 22, 'trace_an': 6}
-
id: 149125464
{'hecke_orbit_code': 58546795189390155, 'n': 23, 'trace_an': -1}
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id: 149125465
{'hecke_orbit_code': 58546795189390155, 'n': 24, 'trace_an': -9}
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id: 149125466
{'hecke_orbit_code': 58546795189390155, 'n': 25, 'trace_an': 0}
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id: 149125467
{'hecke_orbit_code': 58546795189390155, 'n': 26, 'trace_an': 12}
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id: 149125468
{'hecke_orbit_code': 58546795189390155, 'n': 27, 'trace_an': 25}
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id: 149125469
{'hecke_orbit_code': 58546795189390155, 'n': 28, 'trace_an': 10}
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id: 149125470
{'hecke_orbit_code': 58546795189390155, 'n': 29, 'trace_an': 29}
-
id: 149125471
{'hecke_orbit_code': 58546795189390155, 'n': 30, 'trace_an': 0}
-
id: 149125472
{'hecke_orbit_code': 58546795189390155, 'n': 31, 'trace_an': -9}
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id: 149125473
{'hecke_orbit_code': 58546795189390155, 'n': 32, 'trace_an': -27}
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id: 149125474
{'hecke_orbit_code': 58546795189390155, 'n': 33, 'trace_an': 18}
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id: 149125475
{'hecke_orbit_code': 58546795189390155, 'n': 34, 'trace_an': 0}
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id: 149125476
{'hecke_orbit_code': 58546795189390155, 'n': 35, 'trace_an': 0}
-
id: 149125477
{'hecke_orbit_code': 58546795189390155, 'n': 36, 'trace_an': 26}
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id: 149125478
{'hecke_orbit_code': 58546795189390155, 'n': 37, 'trace_an': 18}
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id: 149125479
{'hecke_orbit_code': 58546795189390155, 'n': 38, 'trace_an': -7}
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id: 149125480
{'hecke_orbit_code': 58546795189390155, 'n': 39, 'trace_an': 13}
-
id: 149125481
{'hecke_orbit_code': 58546795189390155, 'n': 40, 'trace_an': 0}
-
id: 149125482
{'hecke_orbit_code': 58546795189390155, 'n': 41, 'trace_an': 54}
-
id: 149125483
{'hecke_orbit_code': 58546795189390155, 'n': 42, 'trace_an': 17}
-
id: 149125484
{'hecke_orbit_code': 58546795189390155, 'n': 43, 'trace_an': 13}
-
id: 149125485
{'hecke_orbit_code': 58546795189390155, 'n': 44, 'trace_an': 72}
-
id: 149125486
{'hecke_orbit_code': 58546795189390155, 'n': 45, 'trace_an': 0}
-
id: 149125487
{'hecke_orbit_code': 58546795189390155, 'n': 46, 'trace_an': 13}
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id: 149125488
{'hecke_orbit_code': 58546795189390155, 'n': 47, 'trace_an': -2}
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id: 149125489
{'hecke_orbit_code': 58546795189390155, 'n': 48, 'trace_an': 24}
-
id: 149125490
{'hecke_orbit_code': 58546795189390155, 'n': 49, 'trace_an': 35}
-
id: 149125491
{'hecke_orbit_code': 58546795189390155, 'n': 50, 'trace_an': 0}
-
id: 149125492
{'hecke_orbit_code': 58546795189390155, 'n': 51, 'trace_an': 0}
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id: 149125493
{'hecke_orbit_code': 58546795189390155, 'n': 52, 'trace_an': 25}
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id: 149125494
{'hecke_orbit_code': 58546795189390155, 'n': 53, 'trace_an': -14}
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id: 149125495
{'hecke_orbit_code': 58546795189390155, 'n': 54, 'trace_an': -4}
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id: 149125496
{'hecke_orbit_code': 58546795189390155, 'n': 55, 'trace_an': 0}
-
id: 149125497
{'hecke_orbit_code': 58546795189390155, 'n': 56, 'trace_an': 56}
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id: 149125498
{'hecke_orbit_code': 58546795189390155, 'n': 57, 'trace_an': -12}
-
id: 149125499
{'hecke_orbit_code': 58546795189390155, 'n': 58, 'trace_an': -4}
-
id: 149125500
{'hecke_orbit_code': 58546795189390155, 'n': 59, 'trace_an': 33}
-
id: 149125501
{'hecke_orbit_code': 58546795189390155, 'n': 60, 'trace_an': 0}
-
id: 149125502
{'hecke_orbit_code': 58546795189390155, 'n': 61, 'trace_an': -8}
-
id: 149125503
{'hecke_orbit_code': 58546795189390155, 'n': 62, 'trace_an': 2}
-
id: 149125504
{'hecke_orbit_code': 58546795189390155, 'n': 63, 'trace_an': 10}
-
id: 149125505
{'hecke_orbit_code': 58546795189390155, 'n': 64, 'trace_an': 33}
-
id: 149125506
{'hecke_orbit_code': 58546795189390155, 'n': 65, 'trace_an': 0}
-
id: 149125507
{'hecke_orbit_code': 58546795189390155, 'n': 66, 'trace_an': 6}
-
id: 149125508
{'hecke_orbit_code': 58546795189390155, 'n': 67, 'trace_an': 19}
-
id: 149125509
{'hecke_orbit_code': 58546795189390155, 'n': 68, 'trace_an': -4}
-
id: 149125510
{'hecke_orbit_code': 58546795189390155, 'n': 69, 'trace_an': -1}
-
id: 149125511
{'hecke_orbit_code': 58546795189390155, 'n': 70, 'trace_an': 0}
-
id: 149125512
{'hecke_orbit_code': 58546795189390155, 'n': 71, 'trace_an': 49}
-
id: 149125513
{'hecke_orbit_code': 58546795189390155, 'n': 72, 'trace_an': -9}
-
id: 149125514
{'hecke_orbit_code': 58546795189390155, 'n': 73, 'trace_an': 23}
-
id: 149125515
{'hecke_orbit_code': 58546795189390155, 'n': 74, 'trace_an': 82}
-
id: 149125516
{'hecke_orbit_code': 58546795189390155, 'n': 75, 'trace_an': 0}
-
id: 149125517
{'hecke_orbit_code': 58546795189390155, 'n': 76, 'trace_an': -29}
-
id: 149125518
{'hecke_orbit_code': 58546795189390155, 'n': 77, 'trace_an': 10}
-
id: 149125519
{'hecke_orbit_code': 58546795189390155, 'n': 78, 'trace_an': 12}
-
id: 149125520
{'hecke_orbit_code': 58546795189390155, 'n': 79, 'trace_an': 7}
-
id: 149125521
{'hecke_orbit_code': 58546795189390155, 'n': 80, 'trace_an': 0}
-
id: 149125522
{'hecke_orbit_code': 58546795189390155, 'n': 81, 'trace_an': 25}
-
id: 149125523
{'hecke_orbit_code': 58546795189390155, 'n': 82, 'trace_an': -2}
-
id: 149125524
{'hecke_orbit_code': 58546795189390155, 'n': 83, 'trace_an': -3}
-
id: 149125525
{'hecke_orbit_code': 58546795189390155, 'n': 84, 'trace_an': 10}
-
id: 149125526
{'hecke_orbit_code': 58546795189390155, 'n': 85, 'trace_an': 0}
-
id: 149125527
{'hecke_orbit_code': 58546795189390155, 'n': 86, 'trace_an': 58}
-
id: 149125528
{'hecke_orbit_code': 58546795189390155, 'n': 87, 'trace_an': 29}
-
id: 149125529
{'hecke_orbit_code': 58546795189390155, 'n': 88, 'trace_an': -19}
-
id: 149125530
{'hecke_orbit_code': 58546795189390155, 'n': 89, 'trace_an': 37}
-
id: 149125531
{'hecke_orbit_code': 58546795189390155, 'n': 90, 'trace_an': 0}
-
id: 149125532
{'hecke_orbit_code': 58546795189390155, 'n': 91, 'trace_an': -20}
-
id: 149125533
{'hecke_orbit_code': 58546795189390155, 'n': 92, 'trace_an': -54}
-
id: 149125534
{'hecke_orbit_code': 58546795189390155, 'n': 93, 'trace_an': -9}
-
id: 149125535
{'hecke_orbit_code': 58546795189390155, 'n': 94, 'trace_an': 15}
-
id: 149125536
{'hecke_orbit_code': 58546795189390155, 'n': 95, 'trace_an': 0}
-
id: 149125537
{'hecke_orbit_code': 58546795189390155, 'n': 96, 'trace_an': -27}
-
id: 149125538
{'hecke_orbit_code': 58546795189390155, 'n': 97, 'trace_an': -6}
-
id: 149125539
{'hecke_orbit_code': 58546795189390155, 'n': 98, 'trace_an': -61}
-
id: 149125540
{'hecke_orbit_code': 58546795189390155, 'n': 99, 'trace_an': 18}
-
id: 149125541
{'hecke_orbit_code': 58546795189390155, 'n': 100, 'trace_an': 0}