-
mf_newforms • Show schema
Hide schema
{'Nk2': 96800, 'analytic_conductor': 193.23797289149852, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [11, -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': [24200, 1, [18151, 12101, 6777, 14401], [118, 118, 118, 118]], 'cm_discs': [], 'conrey_index': 1, 'dim': 18, 'field_poly': [4, 418, -2845, 624, 22235, -33160, -16215, 47182, -837, -27426, 4312, 8274, -1723, -1362, 313, 116, -28, -4, 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': 118, 'hecke_orbit_code': 526921156435926664, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '24200.2.a.en', 'level': 24200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '24200.2.a', 'trace_display': [0, -4, 0, 1], 'traces': [18, 0, -4, 0, 0, 0, 1, 0, 18, 0, 0, 0, 1, 0, 0, 0, 2, 0, 11, 0, -8, 0, -15, 0, 0, 0, -28, 0, -12, 0, 0, 0, 0, 0, 0, 0, -17, 0, 4, 0, -13, 0, 10, 0, 0, 0, -21, 0, 21, 0, 24, 0, -11, 0, 0, 0, -14, 0, 7, 0, -12, 0, 7, 0, 0, 0, -32, 0, -8, 0, -10, 0, -48, 0, 0, 0, 0, 0, 6, 0, 22, 0, 32, 0, 0, 0, 2, 0, -1, 0, 22, 0, -62, 0, 0, 0, -34, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
label 24200.2.a.en does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [57, 66, 71, 65, 63, 59, 67, 70], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 36, 36, 36, 36], 'ALdims_old': [412, 417, 415, 406, 423, 412, 401, 413], 'Nk2': 96800, 'analytic_conductor': 193.23797289149852, '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': [24200, 1, [18151, 12101, 6777, 14401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3817, 'dim': 518, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33578632, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 12, 12, 12, 12, 16, 16, 18, 18, 18, 18], 'label': '24200.2.a', 'level': 24200, 'level_is_powerful': True, '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, 5, 11], 'level_radical': 110, 'mf_dim': 4104, 'mf_new_dim': 518, 'num_forms': 120, 'plus_dim': 248, 'prim_orbit_index': 1, 'relative_dim': 518, 'sturm_bound': 7920, 'trace_display': [0, 2, 0, 0], 'traces': [518, 0, 2, 0, 0, 0, 0, 0, 518, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 12, 0, 0, 0, 20, 0, -16, 0, 4, 0, 0, 0, 0, 0, -6, 0, 8, 0, -10, 0, 8, 0, 0, 0, -8, 0, 546, 0, 34, 0, 2, 0, 0, 0, -32, 0, -2, 0, -12, 0, -12, 0, 0, 0, 6, 0, -16, 0, 28, 0, 12, 0, 0, 0, 0, 0, 8, 0, 502, 0, -8, 0, 0, 0, 0, 0, -18, 0, 0, 0, 24, 0, 0, 0, -8, 0, 0, 0, -8, 0, 4, 0, 0, 0, -24, 0, 40, 0, 12, 0, -28, 0, 0, 0, -4, 0, -40, 0, 0, 0, -48, 0, 0, 0, -12, 0, -76, 0, 4, 0, 8, 0, 0, 0, -6, 0, 34, 0, -28, 0, 0, 0, 0, 0, 42, 0, 4, 0, 56, 0, -20, 0, 0, 0, 68, 0, -68, 0, -44, 0, 50, 0, 0, 0, 60, 0, 532, 0, 12, 0, 8, 0, 0, 0, 32, 0, 12, 0, -10, 0, -24, 0, 0, 0, 0, 0, 32, 0, -24, 0, -20, 0, 0, 0, 0, 0, 104, 0, -2, 0, -36, 0, 0, 0, 52, 0, 0, 0, 42, 0, 20, 0, 0, 0, 68, 0, 58, 0, 94, 0, 40, 0, 0, 0, -16, 0, -62, 0, 0, 0, 60, 0, 0, 0, 36, 0, 28, 0, 6, 0, -148, 0, 0, 0, 132, 0, -66, 0, -130, 0, 0, 0, 0, 0, -56, 0, 108, 0, -40, 0, 32, 0, 0, 0, -146, 0, 94, 0, 84, 0, -12, 0, 0, 0, -88, 0, -164, 0, -48, 0, 68, 0, 0, 0, -104, 0, 460, 0, -194, 0, 12, 0, 0, 0, 0, 0, -16, 0, -4, 0, 52, 0, 0, 0, 12, 0, 4, 0, -140, 0, 64, 0, 0, 0, -12, 0, 0, 0, -86, 0, -158, 0, 0, 0, -60, 0, 24, 0, 100, 0, -14, 0, 0, 0, 72, 0, -62, 0, 0, 0, 0, 0, 0, 0, -60, 0, -64, 0, -168, 0, -64, 0, 0, 0, -244, 0, -20, 0, 554, 0, 0, 0, 0, 0, 232, 0, -172, 0, 0, 0, 0, 0, 0, 0, 110, 0, 124, 0, -44, 0, -124, 0, 0, 0, 164, 0, 78, 0, -40, 0, -76, 0, 0, 0, 34, 0, 260, 0, -18, 0, -8, 0, 0, 0, 0, 0, 162, 0, -32, 0, 12, 0, 0, 0, -36, 0, -100, 0, 18, 0, -120, 0, 0, 0, 184, 0, 0, 0, -80, 0, 16, 0, 0, 0, 64, 0, 24, 0, 670, 0, 66, 0, 0, 0, -132, 0, 34, 0, 0, 0, 108, 0, 0, 0, 84, 0, 310, 0, 56, 0, 272, 0, 0, 0, 76, 0, 40, 0, -64, 0, 0, 0, 0, 0, -50, 0, -84, 0, 8, 0, -92, 0, 0, 0, -48, 0, 258, 0, -136, 0, -182, 0, 0, 0, -84, 0, 34, 0, 176, 0, -24, 0, 0, 0, 218, 0, -96, 0, -12, 0, -48, 0, 0, 0, 0, 0, -196, 0, 188, 0, 52, 0, 0, 0, 12, 0, 554, 0, -200, 0, -74, 0, 0, 0, -16, 0, 0, 0, 112, 0, 8, 0, 0, 0, -204, 0, 48, 0, -72, 0, -24, 0, 0, 0, 144, 0, 256, 0, 0, 0, -132, 0, 0, 0, -80, 0, 6, 0, 136, 0, 76, 0, 0, 0, -172, 0, 30, 0, 96, 0, 0, 0, 0, 0, 70, 0, 36, 0, 120, 0, 12, 0, 0, 0, 92, 0, -272, 0, -82, 0, 44, 0, 0, 0, 80, 0, 96, 0, 96, 0, -92, 0, 0, 0, 124, 0, 154, 0, 364, 0, 116, 0, 0, 0, 0, 0, 112, 0, -24, 0, -120, 0, 0, 0, 4, 0, 136, 0, 120, 0, -26, 0, 0, 0, 140, 0, 0, 0, 52, 0, -108, 0, 0, 0, 260, 0, -98, 0, 18, 0, -24, 0, 0, 0, -48, 0, 484, 0, 0, 0, -64, 0, 0, 0, 120, 0, 308, 0, -28, 0, -76, 0, 0, 0, 536, 0, -184, 0, 48, 0, 0, 0, 0, 0, 42, 0, 100, 0, -20, 0, 112, 0, 0, 0, -72, 0, 48, 0, 8, 0, 12, 0, 0, 0, -180, 0, -12, 0, 8, 0, 272, 0, 0, 0, 116, 0, 452, 0, -216, 0, -36, 0, 0, 0, 0, 0, 4, 0, 136, 0, 20, 0, 0, 0, 4, 0, 172, 0, 352, 0, 36, 0, 0, 0, 22, 0, 0, 0, 78, 0, 152, 0, 0, 0, -120, 0, -154, 0, -102, 0, -188, 0, 0, 0, 92, 0, 70, 0, 0, 0, 32, 0, 0, 0, -196, 0, 40, 0, -64, 0, -24, 0, 0, 0, -172, 0, 168, 0, 84, 0, 0, 0, 0, 0, 296, 0, -164, 0, -156, 0, 56, 0, 0, 0, -24, 0, -316, 0, 8, 0, -144, 0, 0, 0, 132, 0, 174, 0, -68, 0, -112, 0, 0, 0, 160, 0, 64, 0, 572, 0, 12, 0, 0, 0, 0, 0, 186, 0, -148, 0, -96, 0, 0, 0, 52, 0, -36, 0, 336, 0, -116, 0, 0, 0, -200, 0, 0, 0, 184, 0, -24, 0, 0, 0, 236, 0, -244, 0, -24, 0, -54, 0, 0, 0, -208, 0, -8, 0, 0, 0, 32, 0, 0, 0, 168, 0, 184, 0, 140, 0, 28, 0, 0, 0, 186, 0, -88, 0, 40, 0, 0, 0, 0, 0, -60, 0, 160, 0, 214, 0, -200, 0, 0, 0, -96, 0, 396, 0, 6, 0, 40, 0, 0, 0, -212, 0, -192, 0, 4, 0, -16, 0, 0, 0, -50, 0, -12, 0, 148, 0, -112, 0, 0, 0, 0, 0, -360, 0, 278, 0, -12, 0, 0, 0, -44, 0, 292, 0, -206, 0, 44, 0, 0, 0, 270, 0, 0, 0, 152, 0, 60, 0, 0, 0, -400, 0, 20, 0, 40, 0, 386, 0, 0, 0, 64, 0, -144, 0], 'weight': 2, 'weight_parity': 1}
-
source_label 24200.2.a.en does not appear in mf_twists_nf
-
hecke_orbit_code 526921156435926664 does not appear in mf_hecke_charpolys
-
label 24200.2.a.en does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 182611742
{'hecke_orbit_code': 526921156435926664, 'n': 1, 'trace_an': 18}
-
id: 182611743
{'hecke_orbit_code': 526921156435926664, 'n': 2, 'trace_an': 0}
-
id: 182611744
{'hecke_orbit_code': 526921156435926664, 'n': 3, 'trace_an': -4}
-
id: 182611745
{'hecke_orbit_code': 526921156435926664, 'n': 4, 'trace_an': 0}
-
id: 182611746
{'hecke_orbit_code': 526921156435926664, 'n': 5, 'trace_an': 0}
-
id: 182611747
{'hecke_orbit_code': 526921156435926664, 'n': 6, 'trace_an': 0}
-
id: 182611748
{'hecke_orbit_code': 526921156435926664, 'n': 7, 'trace_an': 1}
-
id: 182611749
{'hecke_orbit_code': 526921156435926664, 'n': 8, 'trace_an': 0}
-
id: 182611750
{'hecke_orbit_code': 526921156435926664, 'n': 9, 'trace_an': 18}
-
id: 182611751
{'hecke_orbit_code': 526921156435926664, 'n': 10, 'trace_an': 0}
-
id: 182611752
{'hecke_orbit_code': 526921156435926664, 'n': 11, 'trace_an': 0}
-
id: 182611753
{'hecke_orbit_code': 526921156435926664, 'n': 12, 'trace_an': 0}
-
id: 182611754
{'hecke_orbit_code': 526921156435926664, 'n': 13, 'trace_an': 1}
-
id: 182611755
{'hecke_orbit_code': 526921156435926664, 'n': 14, 'trace_an': 0}
-
id: 182611756
{'hecke_orbit_code': 526921156435926664, 'n': 15, 'trace_an': 0}
-
id: 182611757
{'hecke_orbit_code': 526921156435926664, 'n': 16, 'trace_an': 0}
-
id: 182611758
{'hecke_orbit_code': 526921156435926664, 'n': 17, 'trace_an': 2}
-
id: 182611759
{'hecke_orbit_code': 526921156435926664, 'n': 18, 'trace_an': 0}
-
id: 182611760
{'hecke_orbit_code': 526921156435926664, 'n': 19, 'trace_an': 11}
-
id: 182611761
{'hecke_orbit_code': 526921156435926664, 'n': 20, 'trace_an': 0}
-
id: 182611762
{'hecke_orbit_code': 526921156435926664, 'n': 21, 'trace_an': -8}
-
id: 182611763
{'hecke_orbit_code': 526921156435926664, 'n': 22, 'trace_an': 0}
-
id: 182611764
{'hecke_orbit_code': 526921156435926664, 'n': 23, 'trace_an': -15}
-
id: 182611765
{'hecke_orbit_code': 526921156435926664, 'n': 24, 'trace_an': 0}
-
id: 182611766
{'hecke_orbit_code': 526921156435926664, 'n': 25, 'trace_an': 0}
-
id: 182611767
{'hecke_orbit_code': 526921156435926664, 'n': 26, 'trace_an': 0}
-
id: 182611768
{'hecke_orbit_code': 526921156435926664, 'n': 27, 'trace_an': -28}
-
id: 182611769
{'hecke_orbit_code': 526921156435926664, 'n': 28, 'trace_an': 0}
-
id: 182611770
{'hecke_orbit_code': 526921156435926664, 'n': 29, 'trace_an': -12}
-
id: 182611771
{'hecke_orbit_code': 526921156435926664, 'n': 30, 'trace_an': 0}
-
id: 182611772
{'hecke_orbit_code': 526921156435926664, 'n': 31, 'trace_an': 0}
-
id: 182611773
{'hecke_orbit_code': 526921156435926664, 'n': 32, 'trace_an': 0}
-
id: 182611774
{'hecke_orbit_code': 526921156435926664, 'n': 33, 'trace_an': 0}
-
id: 182611775
{'hecke_orbit_code': 526921156435926664, 'n': 34, 'trace_an': 0}
-
id: 182611776
{'hecke_orbit_code': 526921156435926664, 'n': 35, 'trace_an': 0}
-
id: 182611777
{'hecke_orbit_code': 526921156435926664, 'n': 36, 'trace_an': 0}
-
id: 182611778
{'hecke_orbit_code': 526921156435926664, 'n': 37, 'trace_an': -17}
-
id: 182611779
{'hecke_orbit_code': 526921156435926664, 'n': 38, 'trace_an': 0}
-
id: 182611780
{'hecke_orbit_code': 526921156435926664, 'n': 39, 'trace_an': 4}
-
id: 182611781
{'hecke_orbit_code': 526921156435926664, 'n': 40, 'trace_an': 0}
-
id: 182611782
{'hecke_orbit_code': 526921156435926664, 'n': 41, 'trace_an': -13}
-
id: 182611783
{'hecke_orbit_code': 526921156435926664, 'n': 42, 'trace_an': 0}
-
id: 182611784
{'hecke_orbit_code': 526921156435926664, 'n': 43, 'trace_an': 10}
-
id: 182611785
{'hecke_orbit_code': 526921156435926664, 'n': 44, 'trace_an': 0}
-
id: 182611786
{'hecke_orbit_code': 526921156435926664, 'n': 45, 'trace_an': 0}
-
id: 182611787
{'hecke_orbit_code': 526921156435926664, 'n': 46, 'trace_an': 0}
-
id: 182611788
{'hecke_orbit_code': 526921156435926664, 'n': 47, 'trace_an': -21}
-
id: 182611789
{'hecke_orbit_code': 526921156435926664, 'n': 48, 'trace_an': 0}
-
id: 182611790
{'hecke_orbit_code': 526921156435926664, 'n': 49, 'trace_an': 21}
-
id: 182611791
{'hecke_orbit_code': 526921156435926664, 'n': 50, 'trace_an': 0}
-
id: 182611792
{'hecke_orbit_code': 526921156435926664, 'n': 51, 'trace_an': 24}
-
id: 182611793
{'hecke_orbit_code': 526921156435926664, 'n': 52, 'trace_an': 0}
-
id: 182611794
{'hecke_orbit_code': 526921156435926664, 'n': 53, 'trace_an': -11}
-
id: 182611795
{'hecke_orbit_code': 526921156435926664, 'n': 54, 'trace_an': 0}
-
id: 182611796
{'hecke_orbit_code': 526921156435926664, 'n': 55, 'trace_an': 0}
-
id: 182611797
{'hecke_orbit_code': 526921156435926664, 'n': 56, 'trace_an': 0}
-
id: 182611798
{'hecke_orbit_code': 526921156435926664, 'n': 57, 'trace_an': -14}
-
id: 182611799
{'hecke_orbit_code': 526921156435926664, 'n': 58, 'trace_an': 0}
-
id: 182611800
{'hecke_orbit_code': 526921156435926664, 'n': 59, 'trace_an': 7}
-
id: 182611801
{'hecke_orbit_code': 526921156435926664, 'n': 60, 'trace_an': 0}
-
id: 182611802
{'hecke_orbit_code': 526921156435926664, 'n': 61, 'trace_an': -12}
-
id: 182611803
{'hecke_orbit_code': 526921156435926664, 'n': 62, 'trace_an': 0}
-
id: 182611804
{'hecke_orbit_code': 526921156435926664, 'n': 63, 'trace_an': 7}
-
id: 182611805
{'hecke_orbit_code': 526921156435926664, 'n': 64, 'trace_an': 0}
-
id: 182611806
{'hecke_orbit_code': 526921156435926664, 'n': 65, 'trace_an': 0}
-
id: 182611807
{'hecke_orbit_code': 526921156435926664, 'n': 66, 'trace_an': 0}
-
id: 182611808
{'hecke_orbit_code': 526921156435926664, 'n': 67, 'trace_an': -32}
-
id: 182611809
{'hecke_orbit_code': 526921156435926664, 'n': 68, 'trace_an': 0}
-
id: 182611810
{'hecke_orbit_code': 526921156435926664, 'n': 69, 'trace_an': -8}
-
id: 182611811
{'hecke_orbit_code': 526921156435926664, 'n': 70, 'trace_an': 0}
-
id: 182611812
{'hecke_orbit_code': 526921156435926664, 'n': 71, 'trace_an': -10}
-
id: 182611813
{'hecke_orbit_code': 526921156435926664, 'n': 72, 'trace_an': 0}
-
id: 182611814
{'hecke_orbit_code': 526921156435926664, 'n': 73, 'trace_an': -48}
-
id: 182611815
{'hecke_orbit_code': 526921156435926664, 'n': 74, 'trace_an': 0}
-
id: 182611816
{'hecke_orbit_code': 526921156435926664, 'n': 75, 'trace_an': 0}
-
id: 182611817
{'hecke_orbit_code': 526921156435926664, 'n': 76, 'trace_an': 0}
-
id: 182611818
{'hecke_orbit_code': 526921156435926664, 'n': 77, 'trace_an': 0}
-
id: 182611819
{'hecke_orbit_code': 526921156435926664, 'n': 78, 'trace_an': 0}
-
id: 182611820
{'hecke_orbit_code': 526921156435926664, 'n': 79, 'trace_an': 6}
-
id: 182611821
{'hecke_orbit_code': 526921156435926664, 'n': 80, 'trace_an': 0}
-
id: 182611822
{'hecke_orbit_code': 526921156435926664, 'n': 81, 'trace_an': 22}
-
id: 182611823
{'hecke_orbit_code': 526921156435926664, 'n': 82, 'trace_an': 0}
-
id: 182611824
{'hecke_orbit_code': 526921156435926664, 'n': 83, 'trace_an': 32}
-
id: 182611825
{'hecke_orbit_code': 526921156435926664, 'n': 84, 'trace_an': 0}
-
id: 182611826
{'hecke_orbit_code': 526921156435926664, 'n': 85, 'trace_an': 0}
-
id: 182611827
{'hecke_orbit_code': 526921156435926664, 'n': 86, 'trace_an': 0}
-
id: 182611828
{'hecke_orbit_code': 526921156435926664, 'n': 87, 'trace_an': 2}
-
id: 182611829
{'hecke_orbit_code': 526921156435926664, 'n': 88, 'trace_an': 0}
-
id: 182611830
{'hecke_orbit_code': 526921156435926664, 'n': 89, 'trace_an': -1}
-
id: 182611831
{'hecke_orbit_code': 526921156435926664, 'n': 90, 'trace_an': 0}
-
id: 182611832
{'hecke_orbit_code': 526921156435926664, 'n': 91, 'trace_an': 22}
-
id: 182611833
{'hecke_orbit_code': 526921156435926664, 'n': 92, 'trace_an': 0}
-
id: 182611834
{'hecke_orbit_code': 526921156435926664, 'n': 93, 'trace_an': -62}
-
id: 182611835
{'hecke_orbit_code': 526921156435926664, 'n': 94, 'trace_an': 0}
-
id: 182611836
{'hecke_orbit_code': 526921156435926664, 'n': 95, 'trace_an': 0}
-
id: 182611837
{'hecke_orbit_code': 526921156435926664, 'n': 96, 'trace_an': 0}
-
id: 182611838
{'hecke_orbit_code': 526921156435926664, 'n': 97, 'trace_an': -34}
-
id: 182611839
{'hecke_orbit_code': 526921156435926664, 'n': 98, 'trace_an': 0}
-
id: 182611840
{'hecke_orbit_code': 526921156435926664, 'n': 99, 'trace_an': 0}
-
id: 182611841
{'hecke_orbit_code': 526921156435926664, 'n': 100, 'trace_an': 0}