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

Formats: - HTML - YAML - JSON - 2026-04-29T19:32:23.103487

Query: /api/mf_newspaces/?_offset=0

Column	Type
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	integer[]
Nk2	integer
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
char_conductor	integer
char_degree	integer
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
conrey_index	integer
cusp_dim	integer
dihedral_dim	integer
dim	integer
eis_dim	integer
eis_new_dim	integer
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint
hecke_orbit_dims	integer[]
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
mf_dim	integer
mf_new_dim	integer
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint
relative_dim	integer
s4_dim	integer
sturm_bound	integer
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 9, 12, 11, 9], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [15, 16, 16, 16, 16, 16, 16, 16, 8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [113, 122, 120, 118, 120, 116, 120, 116, 121, 111, 113, 115, 111, 112, 109, 115], 'Nk2': 35280, 'analytic_conductor': 70.42805458276929, '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': [8820, 1, [4411, 7841, 7057, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1921, 'dim': 69, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 31], 'hecke_orbit_code': 33563252, '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, 2, 3, 3, 3, 3, 4, 4], 'id': 1353356, 'label': '8820.2.a', 'level': 8820, '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, 5, 7], 'level_radical': 210, 'mf_dim': 2112, 'mf_new_dim': 69, 'num_forms': 45, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 69, 'sturm_bound': 4032, 'trace_bound': 17, 'trace_display': [0, 0, -1, 0], 'traces': [69, 0, 0, 0, -1, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 6, 0, 69, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 2, 0, -38, 0, 0, 0, -26, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 14, 0, 0, 0, 10, 0, -58, 0, 0, 0, -20, 0, -18, 0, 0, 0, 0, 0, -24, 0, 0, 0, -26, 0, -10, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, -6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 66, 0, -26, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 81, 0, 0, 0, -1, 0, 26, 0, 0, 0, -28, 0, 0, 0, 0, 0, 6, 0, -16, 0, 0, 0, -4, 0, 6, 0, 0, 0, 10, 0, 36, 0, 0, 0, 4, 0, 46, 0, 0, 0, 0, 0, 6, 0, 0, 0, 30, 0, 67, 0, 0, 0, 22, 0, 0, 0, 0, 0, 108, 0, 6, 0, 0, 0, -14, 0, -60, 0, 0, 0, -44, 0, -38, 0, 0, 0, 30, 0, -36, 0, 0, 0, 0, 0, -10, 0, 0, 0, -8, 0, 8, 0, 0, 0, 18, 0, 0, 0, 0, 0, -4, 0, 30, 0, 0, 0, 14, 0, -18, 0, 0, 0, 78, 0, -2, 0, 0, 0, -8, 0, 6, 0, 0, 0, 0, 0, 80, 0, 0, 0, 116, 0, 56, 0, 0, 0, 18, 0, 0, 0, 0, 0, -66, 0, 14, 0, 0, 0, 38, 0, -4, 0, 0, 0, 8, 0, -6, 0, 0, 0, 82, 0, 70, 0, 0, 0, 0, 0, 55, 0, 0, 0, -98, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 2, 0, 0, 0, 12, 0, 10, 0, 0, 0, -50, 0, 0, 0, 0, 0, 144, 0, 2, 0, 0, 0, 0, 0, 136, 0, 0, 0, -38, 0, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 58, 0, 0, 0, -26, 0, 12, 0, 0, 0, -24, 0, 169, 0, 0, 0, 26, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 32, 0, 12, 0, 0, 0, 78, 0, 0, 0, 0, 0, 22, 0, -40, 0, 0, 0, 0, 0, 50, 0, 0, 0, -6, 0, 112, 0, 0, 0, -64, 0, 82, 0, 0, 0, 0, 0, -26, 0, 0, 0, 48, 0, 70, 0, 0, 0, 6, 0, 0, 0, 0, 0, -68, 0, 78, 0, 0, 0, -48, 0, 36, 0, 0, 0, 86, 0, 2, 0, 0, 0, -98, 0, -52, 0, 0, 0, 0, 0, 2, 0, 0, 0, 86, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, -12, 0, -8, 0, 0, 0, -38, 0, 2, 0, 0, 0, -72, 0, -32, 0, 0, 0, 0, 0, -92, 0, 0, 0, -118, 0, 22, 0, 0, 0, 26, 0, 0, 0, 0, 0, -94, 0, -60, 0, 0, 0, 26, 0, -102, 0, 0, 0, 56, 0, 37, 0, 0, 0, 100, 0, 10, 0, 0, 0, 0, 0, 18, 0, 0, 0, -50, 0, 102, 0, 0, 0, -80, 0, 0, 0, 0, 0, 134, 0, -12, 0, 0, 0, -58, 0, -34, 0, 0, 0, 146, 0, -96, 0, 0, 0, 6, 0, -134, 0, 0, 0, 0, 0, 48, 0, 0, 0, 50, 0, -24, 0, 0, 0, 22, 0, 0, 0, 0, 0, 96, 0, -110, 0, 0, 0, -37, 0, 74, 0, 0, 0, -300, 0, 122, 0, 0, 0, 158, 0, 0, 0, 0, 0, 0, 0, 69, 0, 0, 0, 48, 0, 196, 0, 0, 0, 10, 0, 0, 0, 0, 0, -114, 0, 54, 0, 0, 0, 114, 0, -108, 0, 0, 0, 38, 0, 64, 0, 0, 0, 68, 0, 94, 0, 0, 0, 0, 0, -48, 0, 0, 0, 144, 0, -166, 0, 0, 0, -42, 0, 0, 0, 0, 0, 38, 0, 10, 0, 0, 0, 72, 0, -8, 0, 0, 0, 68, 0, -28, 0, 0, 0, -294, 0, -16, 0, 0, 0, 0, 0, 130, 0, 0, 0, -208, 0, -88, 0, 0, 0, -20, 0, 0, 0, 0, 0, -2, 0, 22, 0, 0, 0, 12, 0, -46, 0, 0, 0, -192, 0, 44, 0, 0, 0, 46, 0, 34, 0, 0, 0, 0, 0, 76, 0, 0, 0, -76, 0, 146, 0, 0, 0, -66, 0, 0, 0, 0, 0, 112, 0, -10, 0, 0, 0, -34, 0, 0, 0, 0, 0, -152, 0, -272, 0, 0, 0, 34, 0, -30, 0, 0, 0, 0, 0, 12, 0, 0, 0, 102, 0, 44, 0, 0, 0, -16, 0, 0, 0, 0, 0, -54, 0, 4, 0, 0, 0, 6, 0, -40, 0, 0, 0, -50, 0, 106, 0, 0, 0, 58, 0, -46, 0, 0, 0, 0, 0, -14, 0, 0, 0, -12, 0, 159, 0, 0, 0, 1, 0, 0, 0, 0, 0, 68, 0, 110, 0, 0, 0, -22, 0, 68, 0, 0, 0, 302, 0, -50, 0, 0, 0, 280, 0, 40, 0, 0, 0, 0, 0, 202, 0, 0, 0, 158, 0, -154, 0, 0, 0, -38, 0, 0, 0, 0, 0, -72, 0, 12, 0, 0, 0, -140, 0, 32, 0, 0, 0, 74, 0, -34, 0, 0, 0, 44, 0, 80, 0, 0, 0, 0, 0, -16, 0, 0, 0, -192, 0, -38, 0, 0, 0, -54, 0, 0, 0, 0, 0, -144, 0, 34, 0, 0, 0, 110, 0, -12, 0, 0, 0, 34, 0, 76, 0, 0, 0, 134, 0, -28, 0, 0, 0, 0, 0, -83, 0, 0, 0, -74, 0, -34, 0, 0, 0, -92, 0, 0, 0, 0, 0, 510, 0, -80, 0, 0, 0, -46, 0, -34, 0, 0, 0, 192, 0, -20, 0, 0, 0, -8, 0, 138, 0, 0, 0], 'weight': 2, 'weight_parity': 1}