Formats: - HTML - YAML - JSON - 2026-10-12T02:37:10.883227
Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

Show schema

{'ALdims': [113, 120, 111, 120, 127, 105, 97, 135], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [15, 16, 16, 16, 16, 16, 16, 16], 'ALdims_old': [197, 214, 214, 200, 209, 206, 223, 190], 'Nk2': 80724, 'analytic_conductor': 161.14609631914595, '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': [20181, 1, [6728, 14416, 12496], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2581, 'dim': 928, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_orbit_code': 33574613, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 12, 12, 14, 14, 16, 16, 16, 16, 18, 18, 28, 28, 28, 28, 28, 28, 36, 36, 36, 36, 36, 36, 48, 48, 64, 64], 'id': 1491204, 'label': '20181.2.a', 'level': 20181, '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, 7, 31], 'level_radical': 651, 'mf_dim': 2708, 'mf_new_dim': 928, 'num_forms': 80, 'plus_dim': 435, 'prim_orbit_index': 1, 'relative_dim': 928, 'sturm_bound': 5290, 'trace_display': [-4, 0, -8, -2], 'traces': [928, -4, 0, 928, -8, 4, -2, -12, 928, -8, 0, -8, -8, -2, 0, 920, -16, -4, 0, 0, 2, 16, 8, 12, 912, 16, 0, -6, -24, 0, 0, 12, 0, 24, 4, 928, -8, 64, 0, 24, -16, 2, -8, 40, -8, 8, 32, -32, 928, 36, 8, -24, -16, 4, -32, -18, 0, 16, 0, -16, -8, 0, -2, 912, -56, -8, -16, 16, 8, -12, -8, -12, -24, -16, -16, -16, 0, 8, 32, -48, 928, 8, 32, 6, 40, -64, -24, 40, 0, -8, 12, 32, 0, 48, 64, 68, -8, -4, 0, 848, -16, 8, -8, 80, 4, 104, 64, -8, -24, 80, -16, 2, -24, 24, 48, -40, -8, 80, -4, 48, 968, 48, 16, 0, -96, -2, 48, 132, 32, 88, 72, 56, 8, 96, 0, 56, -32, 8, 32, 44, 24, 96, 96, 920, -16, -16, 0, 24, 0, 92, -40, 144, -16, 0, 0, -16, -32, 56, 0, 200, -8, -4, 80, -16, -32, -32, 0, -6, 912, -40, 0, 32, 24, 8, 2, 16, 16, 8, 8, 0, -40, -44, -32, 16, -32, 0, 88, 88, 2, -40, 0, -120, 40, -40, 24, 928, 40, 16, -64, 108, 0, 16, 4, 24, -48, 32, 8, -56, -32, 20, -16, -16, -24, 0, 64, 12, 0, -56, -48, 32, -16, 48, -32, -58, 912, 56, -32, -32, -8, -128, -16, 16, 40, 16, -40, -152, -32, 28, -56, 32, 40, -52, 0, -136, -8, -80, -88, 0, 48, 40, 80, -6, 32, 72, -16, 904, -24, 24, 36, -120, -24, 176, 16, -8, -80, 40, 0, 96, -160, 0, 32, 96, 4, -40, 96, 104, -104, 48, 0, -60, 32, 32, 72, -88, -32, -40, 20, 12, 920, 48, 0, 40, 0, 4, 80, -64, 0, 24, 24, 8, -8, -96, 32, 80, -152, 24, -8, -16, 0, 0, -32, 88, 56, -24, 4, 120, 48, 88, 0, -144, -24, 8, 88, 928, -72, -16, -16, -40, -16, 8, -64, 160, -8, -112, 0, -2, -16, 20, 32, 88, 0, 64, -2, -184, 48, 8, 136, -136, -24, -30, 0, 64, 112, 16, -8, -32, 4, -8, 8, 24, 912, -64, 0, 76, 136, 40, 96, -88, -16, -96, -12, 0, 96, -256, -48, 80, -88, 2, 0, 16, -32, 88, -80, 28, 40, -232, -8, -184, -80, 80, 144, -12, 0, -224, -16, 40, 136, -288, 8, 712, 40, 16, 0, -208, -8, -12, 168, -8, -56, -32, 64, 48, 72, 8, 80, -16, -24, -176, 0, 44, 56, -16, 32, 280, -96, 8, -12, -120, 40, 256, 40, -32, 56, 0, 80, -200, -48, -56, -64, 144, 928, 120, 112, -80, -40, 80, 32, -70, 24, 36, 48, 144, 48, -48, 56, 72, 64, -160, 8, 80, -112, 24, -112, -168, 0, 104, 24, -24, -8, -128, 0, 272, 88, 56, 240, 12, -16, -248, 288, 256, 8, -32, 8, 976, -24, 4, 64, -256, -16, -8, 24, 96, 56, -104, -32, 0, -8, -32, 104, -32, 80, 48, 200, -18, 112, 176, -32, -136, 48, -40, 36, 332, 0, -88, 184, -16, -16, -76, 80, 296, 48, 16, 128, 56, 14, -32, 0, 72, 1080, -144, 0, 24, 40, 56, 192, 32, 32, -184, 0, -16, 152, -80, -48, -152, 88, -28, 8, -272, -8, 64, 96, 136, -16, -64, 80, 32, -8, 0, 48, 188, 112, 200, 176, 8, -80, 104, -2, 216, -192, 0, 192, 184, 120, 76, 120, 912, 56, 44, -32, 80, 0, -24, 24, -48, -56, -8, 32, -8, 0, 256, -32, 72, 120, -8, 56, 216, -8, -160, 136, 100, 56, 72, -16, -128, 0, 112, 152, 248, 12, 40, 120, 16, 128, -64, 64, -32, -96, -120, -80, 0, 8, 280, -12, -144, 1056, -16, 40, 120, 56, -12, 232, 304, -80, -136, 208, 88, -8, -8, -8, 440, 120, 120, -128, -104, 0, 136, 208, -12, 64, 496, 0, 176, 40, 8, 72, 264, -24, 56, -40, -48, -184, 328, 80, -16, 0, -16, 64, 64, -40, -72, 136, 10, -72, -232, -16, 1160, 160, 8, -20, 56, 88, 0, -80, -16, 0, -2, 16, -72, 64, -48, -160, -48, 0, -184, 96, 120, 104, -160, 48, 134, -56, 8, -64, 24, 48, 40, 28, -176, -80, 320, 32, -24, 0, -60, 200, -176, 144, 144, -144, -48, -16, -44, -48, -440, -200, 36, 16, 12, 928, 40, 128, 0, 120, 160, 0, 72, 0, 8, 24, -32, -144, -108, 32, 0, 192, 40, 32, 16, -64, 208, -24, 328, 120, 80, 32, 6, -32, 240, -80, 312, 128, -144, -28, 56, 40, 0, -16, -144, 144, 24, -48, 520, 96, -64, 0, 0, 12, -56, -56, -40, -72, 224, -24, 920, 256, -64, -32, 8, 80, 240, 76, 40, 136, 56, 48, 32, -48, 40, -40, 356, 0, -224, 208, 48, 24, 0, -24, -112, 192, -8, -8, 12, -56, 152, 192, 32, 192, -144, 12, 40, -168, 24, -104, -64, 0, 40, 304, 32, -152, -240, -32, -248, -16, 40, 256, -368, 0, -56, 104, 4, 872, 136, -48, 0, -128, 48, 54, 0, -48, -24, -176, -248, -32, 60, 64, 88, 80, 112, 0, 240, 44, -56, 80, 68, -24, 304, 0, 0, -96, -152, 64, 96, -8, -16, -96, 0, -168, -304, 32, 240, -176, -4, 144, 80, -48, -104, 128, -96, 32, -184, 0, -128, 56, -152, -240, -146, -8, 0, 0, 848, -256, 208, -40, 176, -152, 136, -104, -48, -16, 56, -128, -48, 392, 104, 160, 216, 32, 8, 136, -816, 32, 88, 0, 0, -280, 248, -8, -80, -176, 0, 0, 464, 8, 32, 40, 80, -112, -72, -48, -216, -192, -136, 16, -360, 4, 400, -72, -32, -24, 288, -32, 4, 48, 104, -32, -16, -16, -48, -68, -96, 0, -1472, 64, 136, -2088, 48, 152, -204, 200, -1648, -24, -8, -88, 72, -16, -296, -1536, -304, 128, 0, -24, -40, 48, -112, -112, -2104, -16, -264, 48, 80, 8, 0, 128, 40, 64, 56, -1872, -16, -16, 344], 'weight': 2, 'weight_parity': 1}