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mf_newforms • Show schema
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{'Nk2': 113568, 'analytic_conductor': 226.71126141881928, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -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': [28392, 1, [21295, 14197, 18929, 12169, 28225], [48, 48, 48, 48, 48]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 3, 'field_disc_factorization': [[3, 1]], 'field_poly': [8, -10, -1, 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': 48, 'hecke_orbit_code': 211669182519996136, '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': '28392.2.a.bv', 'level': 28392, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'nf_label': '3.3.961.1', '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': '28392.2.a', 'trace_display': [0, 3, -2, 3], 'traces': [3, 0, 3, 0, -2, 0, 3, 0, 3, 0, -7, 0, 0, 0, -2, 0, -1, 0, -8, 0, 3, 0, 6, 0, 7, 0, 3, 0, -4, 0, 3, 0, -7, 0, -2, 0, 3, 0, 0, 0, 0, 0, 8, 0, -2, 0, -15, 0, 3, 0, -1, 0, -5, 0, 15, 0, -8, 0, -24, 0, -1, 0, 3, 0, 0, 0, 0, 0, 6, 0, -4, 0, -10, 0, 7, 0, -7, 0, 15, 0, 3, 0, -5, 0, 11, 0, -4, 0, -9, 0, 0, 0, 3, 0, 26, 0, -25, 0, -7, 0], 'weight': 2, 'weight_parity': 1}
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label 28392.2.a.bv does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [25, 33, 31, 27, 31, 27, 25, 33, 28, 30, 29, 30, 29, 30, 28, 30], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14], 'ALdims_old': [319, 335, 333, 326, 326, 329, 339, 318, 343, 316, 321, 331, 328, 328, 322, 333], 'Nk2': 113568, 'analytic_conductor': 226.71126141881928, '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': [28392, 1, [21295, 14197, 18929, 12169, 28225], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5713, 'dim': 466, 'eis_dim': 223, 'eis_new_dim': 0, 'hecke_orbit_code': 33582824, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15], 'label': '28392.2.a', 'level': 28392, '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, 7, 13], 'level_radical': 546, 'mf_dim': 5936, 'mf_new_dim': 466, 'num_forms': 96, 'plus_dim': 222, 'prim_orbit_index': 1, 'relative_dim': 466, 'sturm_bound': 11648, 'trace_display': [0, 0, -4, 0], 'traces': [466, 0, 0, 0, -4, 0, 0, 0, 466, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 8, 0, 462, 0, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, -8, 0, -4, 0, -32, 0, 466, 0, -8, 0, -12, 0, -32, 0, -8, 0, -32, 0, -4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 8, 0, -20, 0, 0, 0, 0, 0, -16, 0, 466, 0, 16, 0, -8, 0, -16, 0, -36, 0, 0, 0, 0, 0, -48, 0, -36, 0, 0, 0, -52, 0, 32, 0, 4, 0, -80, 0, -28, 0, 0, 0, -52, 0, -32, 0, 0, 0, -8, 0, 434, 0, 32, 0, -24, 0, -16, 0, -32, 0, 16, 0, 16, 0, 0, 0, -4, 0, 48, 0, 0, 0, 0, 0, -72, 0, 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-80, 0, 8, 0, -16, 0, 860, 0, 112, 0, -80, 0, -16, 0, -92, 0, -16, 0, -80, 0, 0, 0, 16, 0, -144, 0, -24, 0, 80, 0, 932, 0, 16, 0, 466, 0, -80, 0, 60, 0, 0, 0, 16, 0, 112, 0, 0, 0, -40, 0, -608, 0, 16, 0, -16, 0, -128, 0, -88, 0, 192, 0, 804, 0, 192, 0, 140, 0, 16, 0, -8, 0, 0, 0, -20, 0, -40, 0, 140, 0, 128, 0, 20, 0, -160, 0, 48, 0, -16, 0, 312, 0, -192, 0, 64, 0, -32, 0, 0, 0, 48, 0, 1044, 0, 80, 0, -36, 0, 128, 0, -16, 0, -48, 0, 28, 0, -112, 0, 16, 0, -112, 0, 48, 0, 0, 0, 20, 0, 16, 0, -192, 0, -224, 0, -212, 0, 64, 0, -4, 0, -176, 0, 0, 0, 32, 0, 454, 0, -16, 0, 0, 0, -32, 0, 16, 0, -176, 0, 188, 0, -48, 0, 204, 0, 0, 0, -12, 0, -120, 0, 24, 0, 96, 0, -208, 0, 0, 0, -36, 0, -48, 0, 148, 0, -16, 0, 124, 0, 136, 0, 48, 0, -272, 0, 16, 0, 0, 0, -176, 0, -112, 0, 0, 0, -112, 0, 752, 0, -8, 0, 248, 0, -24, 0, -52, 0, -168, 0, 192, 0, -48, 0, -72, 0, 16, 0, 24, 0, 0, 0, -132, 0, 32, 0, 60, 0, 0, 0, 48, 0, -128, 0, 60, 0, 64, 0, -212, 0, -160, 0, 4, 0, -112, 0, 0, 0, -64, 0, -60, 0, -176, 0, 0, 0, -16, 0, 410, 0, -80, 0, 896, 0, -96, 0, -48, 0, -128, 0, -24, 0, 0, 0, 60, 0, -96, 0, -28, 0, -96, 0, 8, 0, 0, 0, -208, 0, -64, 0, 0, 0, -32, 0, 364, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 28392.2.a.bv does not appear in mf_twists_nf
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hecke_orbit_code 211669182519996136 does not appear in mf_hecke_charpolys
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label 28392.2.a.bv does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 172371442
{'hecke_orbit_code': 211669182519996136, 'n': 1, 'trace_an': 3}
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id: 172371443
{'hecke_orbit_code': 211669182519996136, 'n': 2, 'trace_an': 0}
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id: 172371444
{'hecke_orbit_code': 211669182519996136, 'n': 3, 'trace_an': 3}
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id: 172371445
{'hecke_orbit_code': 211669182519996136, 'n': 4, 'trace_an': 0}
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id: 172371446
{'hecke_orbit_code': 211669182519996136, 'n': 5, 'trace_an': -2}
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id: 172371447
{'hecke_orbit_code': 211669182519996136, 'n': 6, 'trace_an': 0}
-
id: 172371448
{'hecke_orbit_code': 211669182519996136, 'n': 7, 'trace_an': 3}
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id: 172371449
{'hecke_orbit_code': 211669182519996136, 'n': 8, 'trace_an': 0}
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id: 172371450
{'hecke_orbit_code': 211669182519996136, 'n': 9, 'trace_an': 3}
-
id: 172371451
{'hecke_orbit_code': 211669182519996136, 'n': 10, 'trace_an': 0}
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id: 172371452
{'hecke_orbit_code': 211669182519996136, 'n': 11, 'trace_an': -7}
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id: 172371453
{'hecke_orbit_code': 211669182519996136, 'n': 12, 'trace_an': 0}
-
id: 172371454
{'hecke_orbit_code': 211669182519996136, 'n': 13, 'trace_an': 0}
-
id: 172371455
{'hecke_orbit_code': 211669182519996136, 'n': 14, 'trace_an': 0}
-
id: 172371456
{'hecke_orbit_code': 211669182519996136, 'n': 15, 'trace_an': -2}
-
id: 172371457
{'hecke_orbit_code': 211669182519996136, 'n': 16, 'trace_an': 0}
-
id: 172371458
{'hecke_orbit_code': 211669182519996136, 'n': 17, 'trace_an': -1}
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id: 172371459
{'hecke_orbit_code': 211669182519996136, 'n': 18, 'trace_an': 0}
-
id: 172371460
{'hecke_orbit_code': 211669182519996136, 'n': 19, 'trace_an': -8}
-
id: 172371461
{'hecke_orbit_code': 211669182519996136, 'n': 20, 'trace_an': 0}
-
id: 172371462
{'hecke_orbit_code': 211669182519996136, 'n': 21, 'trace_an': 3}
-
id: 172371463
{'hecke_orbit_code': 211669182519996136, 'n': 22, 'trace_an': 0}
-
id: 172371464
{'hecke_orbit_code': 211669182519996136, 'n': 23, 'trace_an': 6}
-
id: 172371465
{'hecke_orbit_code': 211669182519996136, 'n': 24, 'trace_an': 0}
-
id: 172371466
{'hecke_orbit_code': 211669182519996136, 'n': 25, 'trace_an': 7}
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id: 172371467
{'hecke_orbit_code': 211669182519996136, 'n': 26, 'trace_an': 0}
-
id: 172371468
{'hecke_orbit_code': 211669182519996136, 'n': 27, 'trace_an': 3}
-
id: 172371469
{'hecke_orbit_code': 211669182519996136, 'n': 28, 'trace_an': 0}
-
id: 172371470
{'hecke_orbit_code': 211669182519996136, 'n': 29, 'trace_an': -4}
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id: 172371471
{'hecke_orbit_code': 211669182519996136, 'n': 30, 'trace_an': 0}
-
id: 172371472
{'hecke_orbit_code': 211669182519996136, 'n': 31, 'trace_an': 3}
-
id: 172371473
{'hecke_orbit_code': 211669182519996136, 'n': 32, 'trace_an': 0}
-
id: 172371474
{'hecke_orbit_code': 211669182519996136, 'n': 33, 'trace_an': -7}
-
id: 172371475
{'hecke_orbit_code': 211669182519996136, 'n': 34, 'trace_an': 0}
-
id: 172371476
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-
id: 172371477
{'hecke_orbit_code': 211669182519996136, 'n': 36, 'trace_an': 0}
-
id: 172371478
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-
id: 172371479
{'hecke_orbit_code': 211669182519996136, 'n': 38, 'trace_an': 0}
-
id: 172371480
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-
id: 172371481
{'hecke_orbit_code': 211669182519996136, 'n': 40, 'trace_an': 0}
-
id: 172371482
{'hecke_orbit_code': 211669182519996136, 'n': 41, 'trace_an': 0}
-
id: 172371483
{'hecke_orbit_code': 211669182519996136, 'n': 42, 'trace_an': 0}
-
id: 172371484
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id: 172371485
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-
id: 172371486
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-
id: 172371487
{'hecke_orbit_code': 211669182519996136, 'n': 46, 'trace_an': 0}
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id: 172371488
{'hecke_orbit_code': 211669182519996136, 'n': 47, 'trace_an': -15}
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id: 172371489
{'hecke_orbit_code': 211669182519996136, 'n': 48, 'trace_an': 0}
-
id: 172371490
{'hecke_orbit_code': 211669182519996136, 'n': 49, 'trace_an': 3}
-
id: 172371491
{'hecke_orbit_code': 211669182519996136, 'n': 50, 'trace_an': 0}
-
id: 172371492
{'hecke_orbit_code': 211669182519996136, 'n': 51, 'trace_an': -1}
-
id: 172371493
{'hecke_orbit_code': 211669182519996136, 'n': 52, 'trace_an': 0}
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id: 172371494
{'hecke_orbit_code': 211669182519996136, 'n': 53, 'trace_an': -5}
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id: 172371495
{'hecke_orbit_code': 211669182519996136, 'n': 54, 'trace_an': 0}
-
id: 172371496
{'hecke_orbit_code': 211669182519996136, 'n': 55, 'trace_an': 15}
-
id: 172371497
{'hecke_orbit_code': 211669182519996136, 'n': 56, 'trace_an': 0}
-
id: 172371498
{'hecke_orbit_code': 211669182519996136, 'n': 57, 'trace_an': -8}
-
id: 172371499
{'hecke_orbit_code': 211669182519996136, 'n': 58, 'trace_an': 0}
-
id: 172371500
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-
id: 172371501
{'hecke_orbit_code': 211669182519996136, 'n': 60, 'trace_an': 0}
-
id: 172371502
{'hecke_orbit_code': 211669182519996136, 'n': 61, 'trace_an': -1}
-
id: 172371503
{'hecke_orbit_code': 211669182519996136, 'n': 62, 'trace_an': 0}
-
id: 172371504
{'hecke_orbit_code': 211669182519996136, 'n': 63, 'trace_an': 3}
-
id: 172371505
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-
id: 172371506
{'hecke_orbit_code': 211669182519996136, 'n': 65, 'trace_an': 0}
-
id: 172371507
{'hecke_orbit_code': 211669182519996136, 'n': 66, 'trace_an': 0}
-
id: 172371508
{'hecke_orbit_code': 211669182519996136, 'n': 67, 'trace_an': 0}
-
id: 172371509
{'hecke_orbit_code': 211669182519996136, 'n': 68, 'trace_an': 0}
-
id: 172371510
{'hecke_orbit_code': 211669182519996136, 'n': 69, 'trace_an': 6}
-
id: 172371511
{'hecke_orbit_code': 211669182519996136, 'n': 70, 'trace_an': 0}
-
id: 172371512
{'hecke_orbit_code': 211669182519996136, 'n': 71, 'trace_an': -4}
-
id: 172371513
{'hecke_orbit_code': 211669182519996136, 'n': 72, 'trace_an': 0}
-
id: 172371514
{'hecke_orbit_code': 211669182519996136, 'n': 73, 'trace_an': -10}
-
id: 172371515
{'hecke_orbit_code': 211669182519996136, 'n': 74, 'trace_an': 0}
-
id: 172371516
{'hecke_orbit_code': 211669182519996136, 'n': 75, 'trace_an': 7}
-
id: 172371517
{'hecke_orbit_code': 211669182519996136, 'n': 76, 'trace_an': 0}
-
id: 172371518
{'hecke_orbit_code': 211669182519996136, 'n': 77, 'trace_an': -7}
-
id: 172371519
{'hecke_orbit_code': 211669182519996136, 'n': 78, 'trace_an': 0}
-
id: 172371520
{'hecke_orbit_code': 211669182519996136, 'n': 79, 'trace_an': 15}
-
id: 172371521
{'hecke_orbit_code': 211669182519996136, 'n': 80, 'trace_an': 0}
-
id: 172371522
{'hecke_orbit_code': 211669182519996136, 'n': 81, 'trace_an': 3}
-
id: 172371523
{'hecke_orbit_code': 211669182519996136, 'n': 82, 'trace_an': 0}
-
id: 172371524
{'hecke_orbit_code': 211669182519996136, 'n': 83, 'trace_an': -5}
-
id: 172371525
{'hecke_orbit_code': 211669182519996136, 'n': 84, 'trace_an': 0}
-
id: 172371526
{'hecke_orbit_code': 211669182519996136, 'n': 85, 'trace_an': 11}
-
id: 172371527
{'hecke_orbit_code': 211669182519996136, 'n': 86, 'trace_an': 0}
-
id: 172371528
{'hecke_orbit_code': 211669182519996136, 'n': 87, 'trace_an': -4}
-
id: 172371529
{'hecke_orbit_code': 211669182519996136, 'n': 88, 'trace_an': 0}
-
id: 172371530
{'hecke_orbit_code': 211669182519996136, 'n': 89, 'trace_an': -9}
-
id: 172371531
{'hecke_orbit_code': 211669182519996136, 'n': 90, 'trace_an': 0}
-
id: 172371532
{'hecke_orbit_code': 211669182519996136, 'n': 91, 'trace_an': 0}
-
id: 172371533
{'hecke_orbit_code': 211669182519996136, 'n': 92, 'trace_an': 0}
-
id: 172371534
{'hecke_orbit_code': 211669182519996136, 'n': 93, 'trace_an': 3}
-
id: 172371535
{'hecke_orbit_code': 211669182519996136, 'n': 94, 'trace_an': 0}
-
id: 172371536
{'hecke_orbit_code': 211669182519996136, 'n': 95, 'trace_an': 26}
-
id: 172371537
{'hecke_orbit_code': 211669182519996136, 'n': 96, 'trace_an': 0}
-
id: 172371538
{'hecke_orbit_code': 211669182519996136, 'n': 97, 'trace_an': -25}
-
id: 172371539
{'hecke_orbit_code': 211669182519996136, 'n': 98, 'trace_an': 0}
-
id: 172371540
{'hecke_orbit_code': 211669182519996136, 'n': 99, 'trace_an': -7}
-
id: 172371541
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