Database - nf_fields

Formats: - HTML - YAML - JSON - 2026-10-28T14:28:24.493223

Query: /api/nf_fields/?_offset=0

Table nf_fields

Number fields

Column	Type	Example
class_group	jsonb	[278]
class_number	numeric	278
cm	boolean	True
coeffs	numeric[]	[243, -162, 108, -9, -15, 21, -5, -1, 4, -2, 1]
conductor	numeric	0
degree	smallint	10
disc_abs	numeric	263757350177280606576
disc_rad	numeric	416516982942
disc_sign	smallint	-1
embeddings_gen_imag	double precision[]
embeddings_gen_real	double precision[]
gal_is_abelian	boolean	False
gal_is_cyclic	boolean	False
gal_is_solvable	boolean	False
galois_disc_exponents	numeric[]	[2560, 1920, 1920, 1920, 1920]
galois_label	text	'10T39'
galt	integer	39
grd	double precision	724415.9816343988
index	integer
inessentialp	integer[]	[3]
is_galois	boolean	False
is_minimal_sibling	boolean	True
iso_number	smallint	1
label	text	'10.0.263757350177280606576.1'
local_algs	text[]	['2.4.1.0a1.1', '2.2.3.4a1.2', '3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.2.1a...
maximal_cm_subfield	numeric[]	[243, -162, 108, -9, -15, 21, -5, -1, 4, -2, 1]
maxp	numeric	59921
minimal_sibling	numeric[]
monogenic	smallint	-1
narrow_class_group	bigint[]	[278]
narrow_class_number	bigint	278
num_ram	smallint	5
r2	smallint	5
ramps	numeric[]	[2, 3, 877, 1321, 59921]
rd	double precision	110.184487787
regulator	numeric	35485.17122
relative_class_number	numeric	278
subfield_mults	integer[]	[1]
subfields	text[]	['-9.4.23.-11.-2.1']
torsion_order	smallint	2
unit_signature_rank	smallint	0
used_grh	boolean	True

{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 4, -3, 1, 2, 3, -2, -1, -1, -1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 803640236800, 'disc_rad': 24790, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2048, 1536, 1536, 1536], 'galois_label': '12T250', 'galt': 250, 'grd': 176.72985833439097, 'id': 18367243, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.803640236800.1', 'local_algs': ['2.4.3.8a1.2', '5.2.2.2a1.2', '5.8.1.0a1.1', '37.1.2.1a1.1', '37.1.2.1a1.1', '37.1.2.1a1.1', '37.2.1.0a1.1', '37.1.2.1a1.1', '37.2.1.0a1.1', '67.1.1.0a1.1', '67.1.1.0a1.1', '67.2.1.0a1.1', '67.2.1.0a1.1', '67.1.2.1a1.2', '67.4.1.0a1.1'], 'maxp': 67, 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 4, 'r2': 5, 'ramps': [2, 5, 37, 67], 'rd': 9.81947961182, 'regulator': {'__RealLiteral__': 0, 'data': '8.96333728062', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.-3.-1.1', '1.-1.0.-1.0.-1.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}