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

Formats: - HTML - YAML - JSON - 2026-06-24T00:06:58.177947

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': [27, 28, 26, 30], 'ALdims_eis_new': [1, 2, 1, 2], 'ALdims_eis_old': [17, 16, 17, 16], 'ALdims_old': [147, 142, 142, 142], 'Nk2': 25600, 'analytic_conductor': 94.40305600918498, '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': [1600, 1, [1151, 901, 577], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 111, 'eis_dim': 72, 'eis_new_dim': 6, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 67110464, '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, 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, 3, 3, 3, 3, 4, 4, 4, 4], 'id': 382759, 'label': '1600.4.a', 'level': 1600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 756, 'mf_new_dim': 117, 'num_forms': 76, 'plus_dim': 57, 'prim_orbit_index': 1, 'relative_dim': 111, 'sturm_bound': 960, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [111, 0, 0, 0, 0, 0, 0, 0, 947, 0, 0, 0, 70, 0, 0, 0, 54, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -202, 0, 0, 0, -176, 0, 0, 0, -514, 0, 0, 0, -282, 0, 0, 0, 0, 0, 0, 0, 4559, 0, 0, 0, -34, 0, 0, 0, 400, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 1432, 0, 0, 0, -146, 0, 0, 0, -1488, 0, 0, 0, 9247, 0, 0, 0, 0, 0, 0, 0, 894, 0, 0, 0, -1568, 0, 0, 0, 582, 0, 0, 0, -1578, 0, 0, 0, 0, 0, 0, 0, 3686, 0, 0, 0, 3766, 0, 0, 0, 670, 0, 0, 0, 11491, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -112, 0, 0, 0, 14, 0, 0, 0, -8232, 0, 0, 0, 0, 0, 0, 0, -1570, 0, 0, 0, 6926, 0, 0, 0, 7654, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16185, 0, 0, 0, 7126, 0, 0, 0, -2448, 0, 0, 0, -2730, 0, 0, 0, 0, 0, 0, 0, -10624, 0, 0, 0, 870, 0, 0, 0, 6606, 0, 0, 0, 1960, 0, 0, 0, 0, 0, 0, 0, -1328, 0, 0, 0, 4544, 0, 0, 0, -4608, 0, 0, 0, 8100, 0, 0, 0, 0, 0, 0, 0, -15330, 0, 0, 0, 1934, 0, 0, 0, -26560, 0, 0, 0, -10834, 0, 0, 0, 0, 0, 0, 0, -10920, 0, 0, 0, -11888, 0, 0, 0, -890, 0, 0, 0, 4398, 0, 0, 0, 0, 0, 0, 0, 26038, 0, 0, 0, -1824, 0, 0, 0, -20690, 0, 0, 0, -21034, 0, 0, 0, 0, 0, 0, 0, 11397, 0, 0, 0, 5246, 0, 0, 0, -11424, 0, 0, 0, 32808, 0, 0, 0, 0, 0, 0, 0, 64872, 0, 0, 0, -15106, 0, 0, 0, 36630, 0, 0, 0, -11512, 0, 0, 0, 0, 0, 0, 0, -9816, 0, 0, 0, 31094, 0, 0, 0, -1994, 0, 0, 0, 26976, 0, 0, 0, 0, 0, 0, 0, -26186, 0, 0, 0, -7674, 0, 0, 0, 14432, 0, 0, 0, 22619, 0, 0, 0, 0, 0, 0, 0, -8242, 0, 0, 0, -18866, 0, 0, 0, 18988, 0, 0, 0, 45320, 0, 0, 0, 0, 0, 0, 0, 5694, 0, 0, 0, 10672, 0, 0, 0, -71386, 0, 0, 0, -40418, 0, 0, 0, 0, 0, 0, 0, -16978, 0, 0, 0, -19408, 0, 0, 0, 19824, 0, 0, 0, -51226, 0, 0, 0, 0, 0, 0, 0, 108656, 0, 0, 0, -12522, 0, 0, 0, 18224, 0, 0, 0, 27379, 0, 0, 0, 0, 0, 0, 0, -20682, 0, 0, 0, 50624, 0, 0, 0, -3154, 0, 0, 0, -8834, 0, 0, 0, 0, 0, 0, 0, -36760, 0, 0, 0, 30544, 0, 0, 0, 89622, 0, 0, 0, 7812, 0, 0, 0, 0, 0, 0, 0, 28600, 0, 0, 0, 47948, 0, 0, 0, 18400, 0, 0, 0, 67896, 0, 0, 0, 0, 0, 0, 0, -64506, 0, 0, 0, 39520, 0, 0, 0, 3632, 0, 0, 0, -35210, 0, 0, 0, 0, 0, 0, 0, 44287, 0, 0, 0, -68772, 0, 0, 0, -22256, 0, 0, 0, 38158, 0, 0, 0, 0, 0, 0, 0, -28874, 0, 0, 0, -28928, 0, 0, 0, -62218, 0, 0, 0, 44704, 0, 0, 0, 0, 0, 0, 0, 28590, 0, 0, 0, -58784, 0, 0, 0, -16730, 0, 0, 0, -50600, 0, 0, 0, 0, 0, 0, 0, -34880, 0, 0, 0, 5398, 0, 0, 0, 18592, 0, 0, 0, -6954, 0, 0, 0, 0, 0, 0, 0, -32560, 0, 0, 0, 68814, 0, 0, 0, -27890, 0, 0, 0, -76784, 0, 0, 0, 0, 0, 0, 0, 24468, 0, 0, 0, -51984, 0, 0, 0, 20918, 0, 0, 0, -52546, 0, 0, 0, 0, 0, 0, 0, -11504, 0, 0, 0, 870, 0, 0, 0, -6362, 0, 0, 0, -46234, 0, 0, 0, 0, 0, 0, 0, -17000, 0, 0, 0, -85914, 0, 0, 0, -8914, 0, 0, 0, 63656, 0, 0, 0, 0, 0, 0, 0, -36284, 0, 0, 0, -184400, 0, 0, 0, -16772, 0, 0, 0, -85058, 0, 0, 0, 0, 0, 0, 0, -118402, 0, 0, 0, 34688, 0, 0, 0, -41664, 0, 0, 0, -30248, 0, 0, 0, 0, 0, 0, 0, 7187, 0, 0, 0, -111834, 0, 0, 0, 26480, 0, 0, 0, -283984, 0, 0, 0, 0, 0, 0, 0, -105208, 0, 0, 0, -52720, 0, 0, 0, 45390, 0, 0, 0, 147622, 0, 0, 0, 0, 0, 0, 0, 56134, 0, 0, 0, 128238, 0, 0, 0, 59296, 0, 0, 0, -162608, 0, 0, 0, 0, 0, 0, 0, -72552, 0, 0, 0, 71564, 0, 0, 0, -20746, 0, 0, 0, 13942, 0, 0, 0, 0, 0, 0, 0, -156866, 0, 0, 0, 141280, 0, 0, 0, 75728, 0, 0, 0, 115542, 0, 0, 0, 0, 0, 0, 0, -174474, 0, 0, 0, 106982, 0, 0, 0, -132672, 0, 0, 0, 50321, 0, 0, 0, 0, 0, 0, 0, -112728, 0, 0, 0, -219426, 0, 0, 0, -57218, 0, 0, 0, 211232, 0, 0, 0, 0, 0, 0, 0, 110448, 0, 0, 0, -4130, 0, 0, 0, 15190, 0, 0, 0, -47778, 0, 0, 0, 0, 0, 0, 0, -19160, 0, 0, 0, -53040, 0, 0, 0, -28128, 0, 0, 0, -270684, 0, 0, 0, 0, 0, 0, 0, 1326, 0, 0, 0, 101776, 0, 0, 0, 210896, 0, 0, 0, -178376, 0, 0, 0, 0, 0, 0, 0, -17290, 0, 0, 0, 410368, 0, 0, 0, 13998, 0, 0, 0, -43026, 0, 0, 0, 0, 0, 0, 0, -144172, 0, 0, 0, -122146, 0, 0, 0, -87264, 0, 0, 0, -147377, 0, 0, 0, 0, 0, 0, 0, -38000, 0, 0, 0, 140976, 0, 0, 0, -4074, 0, 0, 0, 479390, 0, 0, 0, 0, 0, 0, 0, 243544, 0, 0, 0, -175792, 0, 0, 0, -127538, 0, 0, 0], 'weight': 4, 'weight_parity': 1}