-
mf_newforms • Show schema
Hide schema
{'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], [12, 12, 12]], 'cm_discs': [], 'conrey_index': 1, 'dim': 17, 'field_poly': [97, -311, -576, 2207, 1068, -5739, -269, 6896, -1254, -4107, 1374, 1198, -569, -142, 104, -1, -7, 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': 49539595934649163, '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': '19275.2.a.l', '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': 17, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '19275.2.a', 'trace_display': [7, 17, 0, 0], 'traces': [17, 7, 17, 17, 0, 7, 0, 24, 17, 0, 4, 17, 17, -7, 0, 17, 26, 7, 6, 0, 0, 8, 17, 24, 0, 8, 17, 2, -11, 0, 3, 40, 4, 10, 0, 17, 18, 19, 17, 0, -36, -7, 13, -4, 0, 7, 32, 17, 5, 0, 26, 29, 42, 7, 0, -26, 6, 28, 3, 0, -16, 34, 0, 26, 0, 8, 9, 39, 17, 0, -7, 24, 41, 12, 0, 7, 48, 8, -1, 0, 17, 0, 43, 2, 0, -6, -11, 7, -7, 0, 8, 44, 3, 51, 0, 40, 42, 49, 4, 0], 'weight': 2, 'weight_parity': 1}
-
label 19275.2.a.l does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'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, 0, -40, -4, 42, -92, 0, -6, 48, -32, -60, 0, -8, 28, 70, -80, 0, -12, -60, -36, 52, 0, -80, 56, 20, 4, 0, 40, 8, 24, -88, 0, -12, -96, -2, -24, 0, -120, -144, -144, 22, 0, -160, -28, -80, -96, 0, 464, 0, 48, -92, 0, 0, -12, -52, -104, 0, -152, 12, -20, 24, 0, -168, 188, -56, -152, 0, -20, 40, 188, -4, 0, -8, 48, -94, 164, 0, -8, 124, -68, 886, 0, 0, 132, -56, 42, 0, 84, 12, -56, -148, 0, 36, -168, -2, 124, 0, -24, 20, 60, -76, 0, 104, 16, 64, 60, 0, -436, -92, -8, -116, 0, -36, 56, 12, 804, 0, -60, -28, 44, 140, 0, -100, 72, -40, -92, 0, -52, -120, 104, -24, 0, 52, -20, 84, -256, 0, -240, -12, 56, -142, 0, -8, -40, 12, -40, 0, -16, -48, 36, -124, 0, 726, 44, 54, -88, 0, 68, -12, -12, 16, 0, -156, 24, 44, -4, 0, 280, 68, -16, -4, 0, -68, 152, -80, 38, 0, -376, 4, 128, 216, 0, -72, -216, 96, 116, 0, -24, -124, 172, 4, 0, 88, 60, -74, 204, 0, -120, 68, 60, 28, 0, -12, 256, 8, -92, 0, 84, -80, -44, -148, 0, -92, 60, -16, -80, 0, -48, -152, -136, 68, 0, -124, -14, 154, -196, 0, -48, 40, -92, 108, 0, 822, -24, 0, -148, 0, 116, 76, 132, 68, 0, -20, 208, -68, -24, 0, -48, 96, -20, 8, 0, 100, 152, -20, 160, 0, 88, 168, -60, -36, 0, -40, 224, 148, -8, 0, 96, -24, 232, -340, 0, 0, 328, 80, 628, 0, 2, 28, 164, -64, 0, -160, 80, -100, 496, 0, 404, 8, 104, -74, 0, 48, 236, -60, -8, 0, 76, 2, 52, 152, 0, -352, -356, -12, 16, 0, -156, 60, 152, 52, 0, 108, 0, 48, 44, 0, -248, 116, 52, 750, 0, 32, 56, -76, 52, 0, 196, -36, -264, -280, 0, -40, 244, 44, -80, 0, -180, 132, -52, -8, 0, 12, 64, -8, -168, 0, -504, -136, -52, 44, 0, 0, 172, -184, -124, 0, 228, 0, -108, -144, 0, -60, 428, -18, -72, 0, 732, -64, -56, 8, 0, 12, -60, 104, 0, 0, -20, -212, -38, -48, 0, 8, 56, 36, 0, 0, -80, -40, 32, -192, 0, -84, 296, 16, -228, 0, 88, 80, -212, -108, 0, -300, 28, -90, 448, 0, -156, -108, 24, 60, 0, 0, 172, -56, -52, 0, 440, 136, -4, 372, 0, 116, 56, -112, 104, 0, -140, -100, -100, 28, 0, 128, 16, -60, -32, 0, 84, -60, -12, 24, 0, 12, -192, 140, -44, 0, -380, 4, -216, -20, 0, 72, 216, 100, -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}
-
source_label 19275.2.a.l does not appear in mf_twists_nf
-
hecke_orbit_code 49539595934649163 does not appear in mf_hecke_charpolys
-
label 19275.2.a.l does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 146205642
{'hecke_orbit_code': 49539595934649163, 'n': 1, 'trace_an': 17}
-
id: 146205643
{'hecke_orbit_code': 49539595934649163, 'n': 2, 'trace_an': 7}
-
id: 146205644
{'hecke_orbit_code': 49539595934649163, 'n': 3, 'trace_an': 17}
-
id: 146205645
{'hecke_orbit_code': 49539595934649163, 'n': 4, 'trace_an': 17}
-
id: 146205646
{'hecke_orbit_code': 49539595934649163, 'n': 5, 'trace_an': 0}
-
id: 146205647
{'hecke_orbit_code': 49539595934649163, 'n': 6, 'trace_an': 7}
-
id: 146205648
{'hecke_orbit_code': 49539595934649163, 'n': 7, 'trace_an': 0}
-
id: 146205649
{'hecke_orbit_code': 49539595934649163, 'n': 8, 'trace_an': 24}
-
id: 146205650
{'hecke_orbit_code': 49539595934649163, 'n': 9, 'trace_an': 17}
-
id: 146205651
{'hecke_orbit_code': 49539595934649163, 'n': 10, 'trace_an': 0}
-
id: 146205652
{'hecke_orbit_code': 49539595934649163, 'n': 11, 'trace_an': 4}
-
id: 146205653
{'hecke_orbit_code': 49539595934649163, 'n': 12, 'trace_an': 17}
-
id: 146205654
{'hecke_orbit_code': 49539595934649163, 'n': 13, 'trace_an': 17}
-
id: 146205655
{'hecke_orbit_code': 49539595934649163, 'n': 14, 'trace_an': -7}
-
id: 146205656
{'hecke_orbit_code': 49539595934649163, 'n': 15, 'trace_an': 0}
-
id: 146205657
{'hecke_orbit_code': 49539595934649163, 'n': 16, 'trace_an': 17}
-
id: 146205658
{'hecke_orbit_code': 49539595934649163, 'n': 17, 'trace_an': 26}
-
id: 146205659
{'hecke_orbit_code': 49539595934649163, 'n': 18, 'trace_an': 7}
-
id: 146205660
{'hecke_orbit_code': 49539595934649163, 'n': 19, 'trace_an': 6}
-
id: 146205661
{'hecke_orbit_code': 49539595934649163, 'n': 20, 'trace_an': 0}
-
id: 146205662
{'hecke_orbit_code': 49539595934649163, 'n': 21, 'trace_an': 0}
-
id: 146205663
{'hecke_orbit_code': 49539595934649163, 'n': 22, 'trace_an': 8}
-
id: 146205664
{'hecke_orbit_code': 49539595934649163, 'n': 23, 'trace_an': 17}
-
id: 146205665
{'hecke_orbit_code': 49539595934649163, 'n': 24, 'trace_an': 24}
-
id: 146205666
{'hecke_orbit_code': 49539595934649163, 'n': 25, 'trace_an': 0}
-
id: 146205667
{'hecke_orbit_code': 49539595934649163, 'n': 26, 'trace_an': 8}
-
id: 146205668
{'hecke_orbit_code': 49539595934649163, 'n': 27, 'trace_an': 17}
-
id: 146205669
{'hecke_orbit_code': 49539595934649163, 'n': 28, 'trace_an': 2}
-
id: 146205670
{'hecke_orbit_code': 49539595934649163, 'n': 29, 'trace_an': -11}
-
id: 146205671
{'hecke_orbit_code': 49539595934649163, 'n': 30, 'trace_an': 0}
-
id: 146205672
{'hecke_orbit_code': 49539595934649163, 'n': 31, 'trace_an': 3}
-
id: 146205673
{'hecke_orbit_code': 49539595934649163, 'n': 32, 'trace_an': 40}
-
id: 146205674
{'hecke_orbit_code': 49539595934649163, 'n': 33, 'trace_an': 4}
-
id: 146205675
{'hecke_orbit_code': 49539595934649163, 'n': 34, 'trace_an': 10}
-
id: 146205676
{'hecke_orbit_code': 49539595934649163, 'n': 35, 'trace_an': 0}
-
id: 146205677
{'hecke_orbit_code': 49539595934649163, 'n': 36, 'trace_an': 17}
-
id: 146205678
{'hecke_orbit_code': 49539595934649163, 'n': 37, 'trace_an': 18}
-
id: 146205679
{'hecke_orbit_code': 49539595934649163, 'n': 38, 'trace_an': 19}
-
id: 146205680
{'hecke_orbit_code': 49539595934649163, 'n': 39, 'trace_an': 17}
-
id: 146205681
{'hecke_orbit_code': 49539595934649163, 'n': 40, 'trace_an': 0}
-
id: 146205682
{'hecke_orbit_code': 49539595934649163, 'n': 41, 'trace_an': -36}
-
id: 146205683
{'hecke_orbit_code': 49539595934649163, 'n': 42, 'trace_an': -7}
-
id: 146205684
{'hecke_orbit_code': 49539595934649163, 'n': 43, 'trace_an': 13}
-
id: 146205685
{'hecke_orbit_code': 49539595934649163, 'n': 44, 'trace_an': -4}
-
id: 146205686
{'hecke_orbit_code': 49539595934649163, 'n': 45, 'trace_an': 0}
-
id: 146205687
{'hecke_orbit_code': 49539595934649163, 'n': 46, 'trace_an': 7}
-
id: 146205688
{'hecke_orbit_code': 49539595934649163, 'n': 47, 'trace_an': 32}
-
id: 146205689
{'hecke_orbit_code': 49539595934649163, 'n': 48, 'trace_an': 17}
-
id: 146205690
{'hecke_orbit_code': 49539595934649163, 'n': 49, 'trace_an': 5}
-
id: 146205691
{'hecke_orbit_code': 49539595934649163, 'n': 50, 'trace_an': 0}
-
id: 146205692
{'hecke_orbit_code': 49539595934649163, 'n': 51, 'trace_an': 26}
-
id: 146205693
{'hecke_orbit_code': 49539595934649163, 'n': 52, 'trace_an': 29}
-
id: 146205694
{'hecke_orbit_code': 49539595934649163, 'n': 53, 'trace_an': 42}
-
id: 146205695
{'hecke_orbit_code': 49539595934649163, 'n': 54, 'trace_an': 7}
-
id: 146205696
{'hecke_orbit_code': 49539595934649163, 'n': 55, 'trace_an': 0}
-
id: 146205697
{'hecke_orbit_code': 49539595934649163, 'n': 56, 'trace_an': -26}
-
id: 146205698
{'hecke_orbit_code': 49539595934649163, 'n': 57, 'trace_an': 6}
-
id: 146205699
{'hecke_orbit_code': 49539595934649163, 'n': 58, 'trace_an': 28}
-
id: 146205700
{'hecke_orbit_code': 49539595934649163, 'n': 59, 'trace_an': 3}
-
id: 146205701
{'hecke_orbit_code': 49539595934649163, 'n': 60, 'trace_an': 0}
-
id: 146205702
{'hecke_orbit_code': 49539595934649163, 'n': 61, 'trace_an': -16}
-
id: 146205703
{'hecke_orbit_code': 49539595934649163, 'n': 62, 'trace_an': 34}
-
id: 146205704
{'hecke_orbit_code': 49539595934649163, 'n': 63, 'trace_an': 0}
-
id: 146205705
{'hecke_orbit_code': 49539595934649163, 'n': 64, 'trace_an': 26}
-
id: 146205706
{'hecke_orbit_code': 49539595934649163, 'n': 65, 'trace_an': 0}
-
id: 146205707
{'hecke_orbit_code': 49539595934649163, 'n': 66, 'trace_an': 8}
-
id: 146205708
{'hecke_orbit_code': 49539595934649163, 'n': 67, 'trace_an': 9}
-
id: 146205709
{'hecke_orbit_code': 49539595934649163, 'n': 68, 'trace_an': 39}
-
id: 146205710
{'hecke_orbit_code': 49539595934649163, 'n': 69, 'trace_an': 17}
-
id: 146205711
{'hecke_orbit_code': 49539595934649163, 'n': 70, 'trace_an': 0}
-
id: 146205712
{'hecke_orbit_code': 49539595934649163, 'n': 71, 'trace_an': -7}
-
id: 146205713
{'hecke_orbit_code': 49539595934649163, 'n': 72, 'trace_an': 24}
-
id: 146205714
{'hecke_orbit_code': 49539595934649163, 'n': 73, 'trace_an': 41}
-
id: 146205715
{'hecke_orbit_code': 49539595934649163, 'n': 74, 'trace_an': 12}
-
id: 146205716
{'hecke_orbit_code': 49539595934649163, 'n': 75, 'trace_an': 0}
-
id: 146205717
{'hecke_orbit_code': 49539595934649163, 'n': 76, 'trace_an': 7}
-
id: 146205718
{'hecke_orbit_code': 49539595934649163, 'n': 77, 'trace_an': 48}
-
id: 146205719
{'hecke_orbit_code': 49539595934649163, 'n': 78, 'trace_an': 8}
-
id: 146205720
{'hecke_orbit_code': 49539595934649163, 'n': 79, 'trace_an': -1}
-
id: 146205721
{'hecke_orbit_code': 49539595934649163, 'n': 80, 'trace_an': 0}
-
id: 146205722
{'hecke_orbit_code': 49539595934649163, 'n': 81, 'trace_an': 17}
-
id: 146205723
{'hecke_orbit_code': 49539595934649163, 'n': 82, 'trace_an': 0}
-
id: 146205724
{'hecke_orbit_code': 49539595934649163, 'n': 83, 'trace_an': 43}
-
id: 146205725
{'hecke_orbit_code': 49539595934649163, 'n': 84, 'trace_an': 2}
-
id: 146205726
{'hecke_orbit_code': 49539595934649163, 'n': 85, 'trace_an': 0}
-
id: 146205727
{'hecke_orbit_code': 49539595934649163, 'n': 86, 'trace_an': -6}
-
id: 146205728
{'hecke_orbit_code': 49539595934649163, 'n': 87, 'trace_an': -11}
-
id: 146205729
{'hecke_orbit_code': 49539595934649163, 'n': 88, 'trace_an': 7}
-
id: 146205730
{'hecke_orbit_code': 49539595934649163, 'n': 89, 'trace_an': -7}
-
id: 146205731
{'hecke_orbit_code': 49539595934649163, 'n': 90, 'trace_an': 0}
-
id: 146205732
{'hecke_orbit_code': 49539595934649163, 'n': 91, 'trace_an': 8}
-
id: 146205733
{'hecke_orbit_code': 49539595934649163, 'n': 92, 'trace_an': 44}
-
id: 146205734
{'hecke_orbit_code': 49539595934649163, 'n': 93, 'trace_an': 3}
-
id: 146205735
{'hecke_orbit_code': 49539595934649163, 'n': 94, 'trace_an': 51}
-
id: 146205736
{'hecke_orbit_code': 49539595934649163, 'n': 95, 'trace_an': 0}
-
id: 146205737
{'hecke_orbit_code': 49539595934649163, 'n': 96, 'trace_an': 40}
-
id: 146205738
{'hecke_orbit_code': 49539595934649163, 'n': 97, 'trace_an': 42}
-
id: 146205739
{'hecke_orbit_code': 49539595934649163, 'n': 98, 'trace_an': 49}
-
id: 146205740
{'hecke_orbit_code': 49539595934649163, 'n': 99, 'trace_an': 4}
-
id: 146205741
{'hecke_orbit_code': 49539595934649163, 'n': 100, 'trace_an': 0}