-
mf_newforms • Show schema
Hide schema
{'Nk2': 181944, 'analytic_conductor': 363.20753863399597, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [19, -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': [45486, 1, [10109, 6499, 32131], [136, 136, 136]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 6, 'field_disc_factorization': [[2, 1], [3, 1]], 'field_poly': [-20, 80, 89, -10, -19, 0, 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': 136, 'hecke_orbit_code': 607985949728616878, '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': '45486.2.a.ff', 'level': 45486, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'nf_label': '6.6.309418000.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45486.2.a', 'trace_display': [6, 0, 0, -6], 'traces': [6, 6, 0, 6, 0, 0, -6, 6, 0, 0, -6, 0, -3, -6, 0, 6, -1, 0, 0, 0, 0, -6, -6, 0, 8, -3, 0, -6, 17, 0, -3, 6, 0, -1, 0, 0, -12, 0, 0, 0, 5, 0, 15, -6, 0, -6, -8, 0, 6, 8, 0, -3, -3, 0, -2, -6, 0, 17, -13, 0, 9, -3, 0, 6, 12, 0, -13, -1, 0, 0, 17, 0, 12, -12, 0, 0, 6, 0, 14, 0, 0, 5, -5, 0, -8, 15, 0, -6, 1, 0, 3, -6, 0, -8, 0, 0, 26, 6, 0, 8], 'weight': 2, 'weight_parity': 1}
-
label 45486.2.a.ff does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [40, 45, 40, 45, 67, 61, 59, 70, 40, 45, 40, 45, 63, 65, 71, 56], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20], 'ALdims_old': [501, 533, 540, 497, 503, 489, 491, 500, 520, 517, 520, 513, 507, 485, 479, 514], 'Nk2': 181944, 'analytic_conductor': 363.20753863399597, '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': [45486, 1, [10109, 6499, 32131], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 8961, 'dim': 852, 'eis_dim': 319, 'eis_new_dim': 0, 'hecke_orbit_code': 33599918, '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, 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, 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, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16], 'label': '45486.2.a', 'level': 45486, '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, 19], 'level_radical': 798, 'mf_dim': 9280, 'mf_new_dim': 852, 'num_forms': 187, 'plus_dim': 409, 'prim_orbit_index': 1, 'relative_dim': 852, 'sturm_bound': 18240, 'trace_display': [-2, 0, 2, 0], 'traces': [852, -2, 0, 852, 2, 0, 0, -2, 0, -2, 0, 0, -14, -2, 0, 852, -4, 0, 0, 2, 0, 4, 8, 0, 828, -2, 0, 0, -12, 0, 4, -2, 0, 8, 6, 0, -4, 0, 0, -2, -28, 0, 8, 0, 0, 16, -20, 0, 852, -10, 0, -14, 0, 0, -16, -2, 0, -4, -26, 0, -34, -4, 0, 852, -28, 0, -16, -4, 0, -2, 32, 0, 48, -12, 0, 0, 12, 0, 8, 2, 0, -16, 6, 0, -28, -12, 0, 4, 24, 0, -6, 8, 0, -4, 0, 0, -12, -2, 0, 828, -70, 0, 12, -2, 0, -24, 0, 0, 12, 8, 0, 0, 20, 0, -8, -12, 0, 22, 4, 0, 848, -62, 0, 4, 60, 0, 8, -2, 0, -36, -66, 0, 0, 4, 0, 8, -8, 0, 46, 6, 0, -16, 56, 0, -20, -28, 0, -4, -84, 0, 32, 0, 0, -4, -64, 0, -22, 56, 0, -2, -8, 0, 8, -28, 0, -18, -4, 0, 828, 4, 0, 8, -58, 0, 36, 0, 0, -28, 64, 0, 18, 10, 0, 16, -60, 0, -8, -20, 0, 0, -40, 0, 124, -24, 0, 852, -4, 0, 44, -10, 0, -26, -4, 0, 44, -4, 0, -14, 0, 0, 48, 0, 0, 20, -80, 0, 4, 60, 0, -16, -4, 0, -8, -2, 0, 40, -66, 0, -6, -32, 0, -4, 16, 0, -88, -26, 0, 16, 72, 0, 20, 22, 0, -34, 2, 0, 0, -4, 0, -132, -30, 0, -40, 48, 0, 852, -72, 0, -12, -28, 0, 6, -24, 0, -76, 0, 0, -16, 6, 0, 56, -4, 0, -20, -176, 0, -52, 22, 0, -2, -96, 0, 42, 32, 0, 0, 12, 0, 772, -52, 0, 48, 114, 0, -112, -12, 0, 28, 48, 0, -20, -24, 0, 0, 92, 0, -22, 12, 0, 16, -32, 0, 4, -2, 0, 8, -24, 0, -64, 2, 0, 24, 0, 0, -34, -60, 0, -16, 60, 0, 44, 6, 0, 28, -40, 0, 20, 38, 0, -28, 0, 0, 0, -12, 0, -22, 24, 0, 82, -10, 0, 4, -48, 0, -32, 24, 0, 4, 88, 0, 0, -358, 0, -6, -320, 0, -64, 8, 0, -440, 32, 0, 48, 40, 0, -4, -312, 0, 12, 0, 0, 80, 132, 0, 0, -260, 0, -12, 0, 0, 0, -2, 0, -52, 152, 0, -322, 140, 0, 828, 92, 0, 112, -70, 0, -8, 32, 0, 68, -416, 0, 12, -42, 0, 216, -2, 0, 0, 66, 0, 32, 44, 0, -24, -432, 0, 10, 0, 0, 176, 0, 0, 28, 12, 0, 12, 0, 0, 80, 8, 0, -416, 68, 0, -124, 96, 0, 0, 160, 0, 120, 20, 0, 70, -4, 0, 60, -10, 0, -8, -206, 0, 128, -12, 0, 4, 126, 0, 56, 64, 0, 22, 120, 0, 0, 4, 0, 120, 44, 0, 308, -340, 0, 848, 44, 0, 104, -62, 0, -2, 76, 0, 192, 0, 0, 4, -56, 0, 180, 60, 0, 90, 8, 0, -232, -208, 0, 8, 38, 0, -24, -2, 0, 20, 120, 0, -24, 40, 0, -36, 108, 0, 42, -66, 0, 72, -56, 0, 948, -336, 0, 0, -164, 0, 104, 4, 0, -70, 0, 0, 28, -8, 0, 8, -36, 0, 172, -8, 0, 20, 0, 0, -8, 60, 0, 46, -304, 0, 24, 6, 0, 36, -78, 0, -52, 10, 0, -16, -84, 0, -80, 56, 0, -32, -64, 0, -16, -70, 0, -20, -6, 0, 8, -28, 0, -382, -182, 0, 0, 112, 0, -4, 96, 0, -44, -84, 0, 64, 136, 0, -80, -4, 0, 32, -350, 0, -80, 0, 0, -44, -32, 0, -8, 26, 0, -4, -264, 0, -6, -64, 0, 72, -40, 0, 704, 0, 0, -22, 64, 0, -72, 56, 0, -32, 16, 0, -14, -24, 0, -2, -268, 0, -90, -8, 0, 0, 140, 0, -160, -554, 0, 8, 144, 0, 104, -28, 0, 36, -84, 0, -210, 16, 0, -18, 0, 0, -88, -4, 0, 8, -16, 0, 64, 48, 0, 828, 190, 0, 52, 4, 0, -88, -32, 0, -392, -2, 0, 8, -20, 0, 2, -58, 0, 52, -216, 0, -32, 46, 0, 36, -24, 0, 0, 0, 0, 148, -74, 0, -192, 192, 0, -28, -80, 0, -264, 64, 0, 16, 108, 0, -44, 0, 0, 18, -164, 0, -12, 10, 0, -108, 508, 0, 14, 112, 0, 16, 120, 0, -24, -60, 0, -60, 80, 0, -100, 24, 0, -8, 16, 0, -72, -20, 0, 28, 112, 0, -96, 692, 0, 0, -544, 0, 108, -40, 0, -20, -80, 0, 4, 8, 0, 124, 162, 0, 76, -24, 0, -24, 0, 0, -168, 288, 0, 852, -116, 0, -222, -4, 0, 224, 4, 0, 20, 38, 0, 44, -90, 0, 384, -10, 0, -180, 404, 0, 8, 16, 0, -26, 28, 0, 18, -4, 0, 16, 192, 0, 0, -72, 0, 44, -52, 0, -88, -4, 0, 10, -16, 0, -74, -8, 0, -14, -4, 0, 160, 0, 0, 74, 20, 0, 864, -16, 0, 48, -270, 0, 48, 0, 0, 32, -72, 0, -134, -46, 0, 20, 36, 0, 62, -80, 0, -56, 104, 0, 52, 636, 0, 4, -8, 0, 8, 60, 0, 0, 12, 0, 148, 56, 0, -16, -120, 0, 4, -4, 0, 40, 84, 0, 16, -288, 0, -8, 0, 0, -56, -2, 0, -20, 64, 0, 88, 0, 0, 40, -28, 0, 120, -66, 0, 68, 48, 0, -224, -96, 0, -6, 42, 0, -184, -32, 0, -78, 120, 0, 36, 8, 0, -4, -188, 0, 0, 16, 0, -66, -296, 0, -164, 0, 0, -88, -70, 0, -176, -26, 0, 240, 548, 0, -60, 0, 0, 16, 56, 0, 88, 72, 0, 4, -24, 0, 780, -108, 0, 20, -220, 0, 280, 22, 0, 68, -154, 0, 82, 8, 0, -34, 152, 0, -96, 2, 0, -64, 52, 0, -116, -292, 0, 0, 96, 0, -56, -4, 0, 8, 1200, 0, -122, 120, 0, -132], 'weight': 2, 'weight_parity': 1}
-
source_label 45486.2.a.ff does not appear in mf_twists_nf
-
hecke_orbit_code 607985949728616878 does not appear in mf_hecke_charpolys
-
label 45486.2.a.ff does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 183385942
{'hecke_orbit_code': 607985949728616878, 'n': 1, 'trace_an': 6}
-
id: 183385943
{'hecke_orbit_code': 607985949728616878, 'n': 2, 'trace_an': 6}
-
id: 183385944
{'hecke_orbit_code': 607985949728616878, 'n': 3, 'trace_an': 0}
-
id: 183385945
{'hecke_orbit_code': 607985949728616878, 'n': 4, 'trace_an': 6}
-
id: 183385946
{'hecke_orbit_code': 607985949728616878, 'n': 5, 'trace_an': 0}
-
id: 183385947
{'hecke_orbit_code': 607985949728616878, 'n': 6, 'trace_an': 0}
-
id: 183385948
{'hecke_orbit_code': 607985949728616878, 'n': 7, 'trace_an': -6}
-
id: 183385949
{'hecke_orbit_code': 607985949728616878, 'n': 8, 'trace_an': 6}
-
id: 183385950
{'hecke_orbit_code': 607985949728616878, 'n': 9, 'trace_an': 0}
-
id: 183385951
{'hecke_orbit_code': 607985949728616878, 'n': 10, 'trace_an': 0}
-
id: 183385952
{'hecke_orbit_code': 607985949728616878, 'n': 11, 'trace_an': -6}
-
id: 183385953
{'hecke_orbit_code': 607985949728616878, 'n': 12, 'trace_an': 0}
-
id: 183385954
{'hecke_orbit_code': 607985949728616878, 'n': 13, 'trace_an': -3}
-
id: 183385955
{'hecke_orbit_code': 607985949728616878, 'n': 14, 'trace_an': -6}
-
id: 183385956
{'hecke_orbit_code': 607985949728616878, 'n': 15, 'trace_an': 0}
-
id: 183385957
{'hecke_orbit_code': 607985949728616878, 'n': 16, 'trace_an': 6}
-
id: 183385958
{'hecke_orbit_code': 607985949728616878, 'n': 17, 'trace_an': -1}
-
id: 183385959
{'hecke_orbit_code': 607985949728616878, 'n': 18, 'trace_an': 0}
-
id: 183385960
{'hecke_orbit_code': 607985949728616878, 'n': 19, 'trace_an': 0}
-
id: 183385961
{'hecke_orbit_code': 607985949728616878, 'n': 20, 'trace_an': 0}
-
id: 183385962
{'hecke_orbit_code': 607985949728616878, 'n': 21, 'trace_an': 0}
-
id: 183385963
{'hecke_orbit_code': 607985949728616878, 'n': 22, 'trace_an': -6}
-
id: 183385964
{'hecke_orbit_code': 607985949728616878, 'n': 23, 'trace_an': -6}
-
id: 183385965
{'hecke_orbit_code': 607985949728616878, 'n': 24, 'trace_an': 0}
-
id: 183385966
{'hecke_orbit_code': 607985949728616878, 'n': 25, 'trace_an': 8}
-
id: 183385967
{'hecke_orbit_code': 607985949728616878, 'n': 26, 'trace_an': -3}
-
id: 183385968
{'hecke_orbit_code': 607985949728616878, 'n': 27, 'trace_an': 0}
-
id: 183385969
{'hecke_orbit_code': 607985949728616878, 'n': 28, 'trace_an': -6}
-
id: 183385970
{'hecke_orbit_code': 607985949728616878, 'n': 29, 'trace_an': 17}
-
id: 183385971
{'hecke_orbit_code': 607985949728616878, 'n': 30, 'trace_an': 0}
-
id: 183385972
{'hecke_orbit_code': 607985949728616878, 'n': 31, 'trace_an': -3}
-
id: 183385973
{'hecke_orbit_code': 607985949728616878, 'n': 32, 'trace_an': 6}
-
id: 183385974
{'hecke_orbit_code': 607985949728616878, 'n': 33, 'trace_an': 0}
-
id: 183385975
{'hecke_orbit_code': 607985949728616878, 'n': 34, 'trace_an': -1}
-
id: 183385976
{'hecke_orbit_code': 607985949728616878, 'n': 35, 'trace_an': 0}
-
id: 183385977
{'hecke_orbit_code': 607985949728616878, 'n': 36, 'trace_an': 0}
-
id: 183385978
{'hecke_orbit_code': 607985949728616878, 'n': 37, 'trace_an': -12}
-
id: 183385979
{'hecke_orbit_code': 607985949728616878, 'n': 38, 'trace_an': 0}
-
id: 183385980
{'hecke_orbit_code': 607985949728616878, 'n': 39, 'trace_an': 0}
-
id: 183385981
{'hecke_orbit_code': 607985949728616878, 'n': 40, 'trace_an': 0}
-
id: 183385982
{'hecke_orbit_code': 607985949728616878, 'n': 41, 'trace_an': 5}
-
id: 183385983
{'hecke_orbit_code': 607985949728616878, 'n': 42, 'trace_an': 0}
-
id: 183385984
{'hecke_orbit_code': 607985949728616878, 'n': 43, 'trace_an': 15}
-
id: 183385985
{'hecke_orbit_code': 607985949728616878, 'n': 44, 'trace_an': -6}
-
id: 183385986
{'hecke_orbit_code': 607985949728616878, 'n': 45, 'trace_an': 0}
-
id: 183385987
{'hecke_orbit_code': 607985949728616878, 'n': 46, 'trace_an': -6}
-
id: 183385988
{'hecke_orbit_code': 607985949728616878, 'n': 47, 'trace_an': -8}
-
id: 183385989
{'hecke_orbit_code': 607985949728616878, 'n': 48, 'trace_an': 0}
-
id: 183385990
{'hecke_orbit_code': 607985949728616878, 'n': 49, 'trace_an': 6}
-
id: 183385991
{'hecke_orbit_code': 607985949728616878, 'n': 50, 'trace_an': 8}
-
id: 183385992
{'hecke_orbit_code': 607985949728616878, 'n': 51, 'trace_an': 0}
-
id: 183385993
{'hecke_orbit_code': 607985949728616878, 'n': 52, 'trace_an': -3}
-
id: 183385994
{'hecke_orbit_code': 607985949728616878, 'n': 53, 'trace_an': -3}
-
id: 183385995
{'hecke_orbit_code': 607985949728616878, 'n': 54, 'trace_an': 0}
-
id: 183385996
{'hecke_orbit_code': 607985949728616878, 'n': 55, 'trace_an': -2}
-
id: 183385997
{'hecke_orbit_code': 607985949728616878, 'n': 56, 'trace_an': -6}
-
id: 183385998
{'hecke_orbit_code': 607985949728616878, 'n': 57, 'trace_an': 0}
-
id: 183385999
{'hecke_orbit_code': 607985949728616878, 'n': 58, 'trace_an': 17}
-
id: 183386000
{'hecke_orbit_code': 607985949728616878, 'n': 59, 'trace_an': -13}
-
id: 183386001
{'hecke_orbit_code': 607985949728616878, 'n': 60, 'trace_an': 0}
-
id: 183386002
{'hecke_orbit_code': 607985949728616878, 'n': 61, 'trace_an': 9}
-
id: 183386003
{'hecke_orbit_code': 607985949728616878, 'n': 62, 'trace_an': -3}
-
id: 183386004
{'hecke_orbit_code': 607985949728616878, 'n': 63, 'trace_an': 0}
-
id: 183386005
{'hecke_orbit_code': 607985949728616878, 'n': 64, 'trace_an': 6}
-
id: 183386006
{'hecke_orbit_code': 607985949728616878, 'n': 65, 'trace_an': 12}
-
id: 183386007
{'hecke_orbit_code': 607985949728616878, 'n': 66, 'trace_an': 0}
-
id: 183386008
{'hecke_orbit_code': 607985949728616878, 'n': 67, 'trace_an': -13}
-
id: 183386009
{'hecke_orbit_code': 607985949728616878, 'n': 68, 'trace_an': -1}
-
id: 183386010
{'hecke_orbit_code': 607985949728616878, 'n': 69, 'trace_an': 0}
-
id: 183386011
{'hecke_orbit_code': 607985949728616878, 'n': 70, 'trace_an': 0}
-
id: 183386012
{'hecke_orbit_code': 607985949728616878, 'n': 71, 'trace_an': 17}
-
id: 183386013
{'hecke_orbit_code': 607985949728616878, 'n': 72, 'trace_an': 0}
-
id: 183386014
{'hecke_orbit_code': 607985949728616878, 'n': 73, 'trace_an': 12}
-
id: 183386015
{'hecke_orbit_code': 607985949728616878, 'n': 74, 'trace_an': -12}
-
id: 183386016
{'hecke_orbit_code': 607985949728616878, 'n': 75, 'trace_an': 0}
-
id: 183386017
{'hecke_orbit_code': 607985949728616878, 'n': 76, 'trace_an': 0}
-
id: 183386018
{'hecke_orbit_code': 607985949728616878, 'n': 77, 'trace_an': 6}
-
id: 183386019
{'hecke_orbit_code': 607985949728616878, 'n': 78, 'trace_an': 0}
-
id: 183386020
{'hecke_orbit_code': 607985949728616878, 'n': 79, 'trace_an': 14}
-
id: 183386021
{'hecke_orbit_code': 607985949728616878, 'n': 80, 'trace_an': 0}
-
id: 183386022
{'hecke_orbit_code': 607985949728616878, 'n': 81, 'trace_an': 0}
-
id: 183386023
{'hecke_orbit_code': 607985949728616878, 'n': 82, 'trace_an': 5}
-
id: 183386024
{'hecke_orbit_code': 607985949728616878, 'n': 83, 'trace_an': -5}
-
id: 183386025
{'hecke_orbit_code': 607985949728616878, 'n': 84, 'trace_an': 0}
-
id: 183386026
{'hecke_orbit_code': 607985949728616878, 'n': 85, 'trace_an': -8}
-
id: 183386027
{'hecke_orbit_code': 607985949728616878, 'n': 86, 'trace_an': 15}
-
id: 183386028
{'hecke_orbit_code': 607985949728616878, 'n': 87, 'trace_an': 0}
-
id: 183386029
{'hecke_orbit_code': 607985949728616878, 'n': 88, 'trace_an': -6}
-
id: 183386030
{'hecke_orbit_code': 607985949728616878, 'n': 89, 'trace_an': 1}
-
id: 183386031
{'hecke_orbit_code': 607985949728616878, 'n': 90, 'trace_an': 0}
-
id: 183386032
{'hecke_orbit_code': 607985949728616878, 'n': 91, 'trace_an': 3}
-
id: 183386033
{'hecke_orbit_code': 607985949728616878, 'n': 92, 'trace_an': -6}
-
id: 183386034
{'hecke_orbit_code': 607985949728616878, 'n': 93, 'trace_an': 0}
-
id: 183386035
{'hecke_orbit_code': 607985949728616878, 'n': 94, 'trace_an': -8}
-
id: 183386036
{'hecke_orbit_code': 607985949728616878, 'n': 95, 'trace_an': 0}
-
id: 183386037
{'hecke_orbit_code': 607985949728616878, 'n': 96, 'trace_an': 0}
-
id: 183386038
{'hecke_orbit_code': 607985949728616878, 'n': 97, 'trace_an': 26}
-
id: 183386039
{'hecke_orbit_code': 607985949728616878, 'n': 98, 'trace_an': 6}
-
id: 183386040
{'hecke_orbit_code': 607985949728616878, 'n': 99, 'trace_an': 0}
-
id: 183386041
{'hecke_orbit_code': 607985949728616878, 'n': 100, 'trace_an': 8}