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

Formats: - HTML - YAML - JSON - 2026-09-22T08:48:33.720040

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': [34, 31, 32, 35], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6], 'ALdims_old': [113, 104, 109, 106], 'Nk2': 23552, 'analytic_conductor': 86.85081152845018, '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': [1472, 1, [1151, 645, 833], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 564, 'dim': 132, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 67110336, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9], 'id': 352223, 'label': '1472.4.a', 'level': 1472, '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, 23], 'level_radical': 46, 'mf_dim': 588, 'mf_new_dim': 132, 'num_forms': 38, 'plus_dim': 69, 'prim_orbit_index': 1, 'relative_dim': 132, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [132, 0, 0, 0, 0, 0, 0, 0, 1188, 0, 0, 0, -144, 0, 0, 0, 104, 0, 0, 0, 240, 0, 0, 0, 3212, 0, 0, 0, 0, 0, 0, 0, 464, 0, 0, 0, 1008, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0, 6468, 0, 0, 0, 0, 0, 0, 0, -688, 0, 0, 0, 2160, 0, 0, 0, -1536, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 8852, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 5832, 0, 0, 0, 1160, 0, 0, 0, 1560, 0, 0, 0, 2208, 0, 0, 0, -6720, 0, 0, 0, -2712, 0, 0, 0, -4776, 0, 0, 0, 16644, 0, 0, 0, 5808, 0, 0, 0, -2000, 0, 0, 0, 8160, 0, 0, 0, -4392, 0, 0, 0, -14472, 0, 0, 0, 5440, 0, 0, 0, -8496, 0, 0, 0, -1464, 0, 0, 0, 12288, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 25068, 0, 0, 0, -4728, 0, 0, 0, -4400, 0, 0, 0, 13104, 0, 0, 0, -1536, 0, 0, 0, 24112, 0, 0, 0, -6168, 0, 0, 0, 12880, 0, 0, 0, -12880, 0, 0, 0, -5136, 0, 0, 0, 8400, 0, 0, 0, 2536, 0, 0, 0, -6496, 0, 0, 0, 23776, 0, 0, 0, 25740, 0, 0, 0, 28672, 0, 0, 0, 7800, 0, 0, 0, -25232, 0, 0, 0, -6712, 0, 0, 0, -32288, 0, 0, 0, 3760, 0, 0, 0, 0, 0, 0, 0, -18456, 0, 0, 0, -11736, 0, 0, 0, -31072, 0, 0, 0, 272, 0, 0, 0, 1632, 0, 0, 0, 12288, 0, 0, 0, -7240, 0, 0, 0, 18656, 0, 0, 0, 55596, 0, 0, 0, 10400, 0, 0, 0, 18592, 0, 0, 0, -21056, 0, 0, 0, -11168, 0, 0, 0, 14064, 0, 0, 0, 1176, 0, 0, 0, -12984, 0, 0, 0, -31888, 0, 0, 0, -47664, 0, 0, 0, -4960, 0, 0, 0, 51632, 0, 0, 0, 6248, 0, 0, 0, -9152, 0, 0, 0, 0, 0, 0, 0, -10464, 0, 0, 0, 15176, 0, 0, 0, 23584, 0, 0, 0, 57732, 0, 0, 0, 55952, 0, 0, 0, -36600, 0, 0, 0, 43344, 0, 0, 0, -30192, 0, 0, 0, -9944, 0, 0, 0, -36864, 0, 0, 0, 26816, 0, 0, 0, -42304, 0, 0, 0, 67872, 0, 0, 0, 15880, 0, 0, 0, 69216, 0, 0, 0, 1432, 0, 0, 0, -74624, 0, 0, 0, 56320, 0, 0, 0, 7056, 0, 0, 0, 68536, 0, 0, 0, 109696, 0, 0, 0, -51448, 0, 0, 0, 0, 0, 0, 0, 90948, 0, 0, 0, -74624, 0, 0, 0, 4120, 0, 0, 0, -27784, 0, 0, 0, -52552, 0, 0, 0, 58816, 0, 0, 0, 65568, 0, 0, 0, 63360, 0, 0, 0, 21296, 0, 0, 0, 21360, 0, 0, 0, 44640, 0, 0, 0, 7328, 0, 0, 0, 52384, 0, 0, 0, -46944, 0, 0, 0, -51808, 0, 0, 0, 112224, 0, 0, 0, -73184, 0, 0, 0, -59824, 0, 0, 0, -28864, 0, 0, 0, -76144, 0, 0, 0, -77736, 0, 0, 0, 60464, 0, 0, 0, 69828, 0, 0, 0, -114184, 0, 0, 0, -62464, 0, 0, 0, -18336, 0, 0, 0, -416, 0, 0, 0, -117856, 0, 0, 0, 32448, 0, 0, 0, -13472, 0, 0, 0, -54080, 0, 0, 0, -133728, 0, 0, 0, -13160, 0, 0, 0, -211072, 0, 0, 0, -75000, 0, 0, 0, -15584, 0, 0, 0, -68160, 0, 0, 0, 19184, 0, 0, 0, 5400, 0, 0, 0, 2528, 0, 0, 0, -20040, 0, 0, 0, -96784, 0, 0, 0, 9312, 0, 0, 0, -5216, 0, 0, 0, 20312, 0, 0, 0, -35880, 0, 0, 0, -72860, 0, 0, 0, -17696, 0, 0, 0, -56272, 0, 0, 0, -19824, 0, 0, 0, -39736, 0, 0, 0, -133088, 0, 0, 0, -144112, 0, 0, 0, -50192, 0, 0, 0, 88072, 0, 0, 0, -11456, 0, 0, 0, 81568, 0, 0, 0, 154976, 0, 0, 0, -103320, 0, 0, 0, 213936, 0, 0, 0, 73968, 0, 0, 0, -40832, 0, 0, 0, -24448, 0, 0, 0, 100288, 0, 0, 0, 34160, 0, 0, 0, -56080, 0, 0, 0, -26912, 0, 0, 0, -95760, 0, 0, 0, 0, 0, 0, 0, -216568, 0, 0, 0, 4896, 0, 0, 0, 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47268, 0, 0, 0, 457600, 0, 0, 0, 71136, 0, 0, 0, -87344, 0, 0, 0, -10264, 0, 0, 0, 354976, 0, 0, 0, 104960, 0, 0, 0, 54096, 0, 0, 0, 36576, 0, 0, 0, -303000, 0, 0, 0], 'weight': 4, 'weight_parity': 1}