Database - mf_newspaces

Formats: - HTML - YAML - JSON - 2026-10-25T01:50:38.695945

Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

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

Column	Type	Example
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	integer[]
Nk2	integer	7425
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision	22.479621809724495
char_conductor	integer	275
char_degree	integer	8
char_is_real	boolean	False
char_orbit_index	smallint	66
char_orbit_label	text	'cn'
char_order	integer	20
char_parity	smallint	-1
char_values	jsonb	[825, 20, [551, 727, 376], [20, 11, 8]]
conrey_index	integer	148
cusp_dim	integer	1888
dihedral_dim	integer
dim	integer	960
eis_dim	integer	64
eis_new_dim	integer	0
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint	4466816320313
hecke_orbit_dims	integer[]
label	text	'825.3.cn'
level	integer	825
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	False
level_primes	integer[]	[3, 5, 11]
level_radical	integer	165
mf_dim	integer	1952
mf_new_dim	integer	960
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint	42
relative_dim	integer	120
s4_dim	integer
sturm_bound	integer	360
trace_bound	integer
trace_display	numeric[]	[0, 0, 12, -48]
traces	numeric[]	[960, 0, 0, 0, 12, 0, -48, 0, 0, 56, 0, -48, 8, 0, 72, 960, -84, 0, 0, -40, 0, -20, 192, 0, -44, 0, ...
weight	smallint	3
weight_parity	smallint	-1

{'Nk2': 456, 'analytic_conductor': 0.9102945830425964, 'char_conductor': 57, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [114, 2, [77, 97], [1, 1]], 'conrey_index': 113, 'cusp_dim': 16, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 29], 'hecke_orbit_code': 68753031282, 'hecke_orbit_dims': [2, 2, 2, 2], 'id': 30255, 'label': '114.2.b', 'level': 114, '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': True, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 24, 'mf_new_dim': 8, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 8, 'sturm_bound': 40, 'trace_bound': 3, 'trace_display': [0, 0, 0, -12], 'traces': [8, 0, 0, 8, 0, -2, -12, 0, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, -12, 0, 0, 0, 0, -2, -16, 0, 0, -12, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, -18, 0, 0, -22, 16, 0, 52, 0, 0, 0, 12, 0, 0, 0, 0, -20, 16, 0, 18, 12, 0, 0, -24, 0, 22, 8, 0, 44, 0, 0, 0, 0, 0, 0, 28, 0, 0, -12, 0, 0, 0, 0, -46, 0, 0, 0, -8, 0, -78, 0, 0, 0, 0, 0, 12, 0, 0, -2, 0, 0, 28, -16, 0, -22, 0, 0, 0, -12, 0, 0, 0, 0, -48, -12, 0, 28, 64, 0, 0, 36, 0, -4, -88, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, -32, 0, 0, 0, 0, 26, -72, 0, 0, -96, 0, 2, 0, 0, 0, 0, 0, 54, 0, 0, -14, 0, 0, -18, 72, 0, 78, 0, 0, 0, 120, 0, 0, 0, 0, -22, 20, 0, -28, 16, 0, 0, -76, 0, 66, 48, 0, 52, 0, 0, 0, 0, 0, 0, 88, 0, 0, -48, 0, 0, 0, 0, -12, 12, 0, 0, 28, 0, -30, 0, 0, 0, 0, 0, -38, 0, 0, -44, 0, 0, 24, -36, 0, -20, 0, 0, 0, 16, 0, 0, 0, 0, -54, -96, 0, 18, -24, 0, 0, 12, 0, -66, -56, 0, -48, 0, 0, 0, 0, 0, 0, -24, 0, 0, 84, 0, 0, 0, 0, 22, -104, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 44, 0, 0, -12, 0, 0, -64, -68, 0, 102, 0, 0, 0, -96, 0, 0, 0, 0, -4, 40, 0, 12, 72, 0, 0, 92, 0, 96, 28, 0, 72, 0, 0, 0, 0, 0, 0, -24, 0, 0, -12, 0, 0, 0, 0, -84, 168, 0, 0, 84, 0, -28, 0, 0, 0, 0, 0, -66, 0, 0, -46, 0, 0, 78, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 24, -8, 0, 66, -84, 0, 0, 48, 0, -78, -104, 0, 12, 0, 0, 0, 0, 0, 0, -24, 0, 0, -16, 0, 0, 0, 0, 56, 16, 0, 0, -72, 0, 12, 0, 0, 0, 0, 0, 80, 0, 0, 120, 0, 0, -2, 176, 0, 4, 0, 0, 0, 52, 0, 0, 0, 0, 28, 64, 0, -102, -16, 0, 0, -144, 0, 76, 132, 0, -22, 0, 0, 0, 0, 0, 0, -128, 0, 0, -72, 0, 0, 0, 0, 52, -12, 0, 0, -64, 0, 132, 0, 0, 0, 0, 0, -156, 0, 0, -82, 0, 0, -72, -36, 0, -48, 0, 0, 0, -12, 0, 0, 0, 0, 84, -84, 0, 28, -140, 0, 0, 64, 0, -116, -80, 0, -192, 0, 0, 0, 0, 0, 0, 36, 0, 0, 124, 0, 0, 0, 0, -4, -24, 0, 0, -88, 0, 58, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, -52, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 52, 108, 0, -12, 48, 0, 0, 16, 0, -12, 48, 0, 78, 0, 0, 0, 0, 0, 0, 68, 0, 0, -32, 0, 0, 0, 0, -144, 144, 0, 0, 304, 0, -24, 0, 0, 0, 0, 0, -56, 0, 0, 26, 0, 0, 168, -72, 0, -156, 0, 0, 0, -96, 0, 0, 0, 0, 94, -96, 0, 56, -8, 0, 0, 0, 0, 2, 60, 0, -36, 0, 0, 0, 0, 0, 0, -108, 0, 0, 144, 0, 0, 0, 0, 104, -88, 0, 0, -12, 0, 54, 0, 0, 0, 0, 0, 92, 0, 0, 42, 0, 0, -14, -96, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, -18, -48, 0, -132, 72, 0, 0, 48, 0, 6, 84, 0, 78, 0, 0, 0, 0, 0, 0, -224, 0, 0, 36, 0, 0, 0, 0, 132, 120, 0, 0, 64, 0, 82, 0, 0, 0, 0, 0, -66, 0, 0, 24, 0, 0, -12, -120, 0, -22, 0, 0, 0, 20, 0, 0, 0, 0, -54, -48, 0, -28, -200, 0, 0, 16, 0, -116, 40, 0, -292, 0, 0, 0, 0, 0, 0, -76, 0, 0, 24, 0, 0, 0, 0, 66, 88, 0, 0, 48, 0, 58, 0, 0, 0, 0, 0, 52, 0, 0, -96, 0, 0, -78, 4, 0, -16, 0, 0, 0, -176, 0, 0, 0, 0, 0, 240, 0, -48, -132, 0, 0, -152, 0, 76, 88, 0, 88, 0, 0, 0, 0, 0, 0, -72, 0, 0, -48, 0, 0, 0, 0, -52, -72, 0, 0, 132, 0, -12, 0, 0, 0, 0, 0, 72, 0, 0, -12, 0, 0, 120, 12, 0, -124, 0, 0, 0, -72, 0, 0, 0, 0, 156, 28, 0, 8, -8, 0, 0, 192, 0, -30, 104, 0, -36, 0, 0, 0, 0, 0, 0, 192, 0, 0, -24, 0, 0, 0, 0, 50, 36, 0, 0, -204, 0, -38, 0, 0, 0, 0, 0, 68, 0, 0, 192, 0, 0, -44, 236, 0, 24, 0, 0, 0, 332, 0, 0, 0, 0, 24, -128, 0, -128, -36, 0, 0, -240, 0, 0, 96, 0, -20, 0, 0, 0, 0, 0, 0, 60, 0, 0, 12, 0, 0, 0, 0, 102, 16, 0, 0, 168, 0, 132, 0, 0, 0, 0, 0, -236, 0, 0, 32, 0, 0, 78, 0, 0, -54, 0, 0, 0, -96, 0, 0, 0, 0, 4, -72, 0, 18, 208, 0, 0, -24, 0, -52, -108, 0, -132, 0, 0, 0, 0, 0, 0, 12, 0, 0, 132, 0, 0, 0, 0, -66, -236, 0, 0, -56, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, 54, 0, 0, -78, -368, 0, -84, 0, 0, 0, -256, 0, 0, 0, 0, -14, 48, 0, 66, 144, 0, 0, 8, 0, -114, -24, 0, 20, 0, 0, 0, 0, 0, 0, 40, 0, 0, 84, 0, 0, 0, 0, -162, 144, 0, 0, 96, 0, -168, 0], 'weight': 2, 'weight_parity': 1}