Database - nf_fields

Formats: - HTML - YAML - JSON - 2026-10-28T14:28:05.937800

Query: /api/nf_fields/?_offset=0

Table nf_fields

Number fields

Column	Type	Example
class_group	jsonb	[2]
class_number	numeric	2
cm	boolean	False
coeffs	numeric[]	[39348, -396, -23, 0, 1]
conductor	numeric	0
degree	smallint	4
disc_abs	numeric	10071568
disc_rad	numeric	1258946
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	True
galois_disc_exponents	numeric[]	[8, 4, 4, 4]
galois_label	text	'4T3'
galt	integer	3
grd	double precision	1586.7866901382806
index	integer	1
inessentialp	integer[]	[]
is_galois	boolean	False
is_minimal_sibling	boolean	True
iso_number	smallint	2
label	text	'4.0.10071568.2'
local_algs	text[]	['2.1.2.2a1.1', '2.1.2.2a1.1', '13.1.1.0a1.1', '13.1.1.0a1.1', '13.1.2.1a1.1', '41.1.2.1a1.1', '41.2...
maximal_cm_subfield	numeric[]	[1, 0, 1]
maxp	numeric	1181
minimal_sibling	numeric[]
monogenic	smallint	-1
narrow_class_group	bigint[]	[2]
narrow_class_number	bigint	2
num_ram	smallint	4
r2	smallint	2
ramps	numeric[]	[2, 13, 41, 1181]
rd	double precision	56.3344777226
regulator	numeric	299.454322867
relative_class_number	numeric
subfield_mults	integer[]	[1]
subfields	text[]	['1.0.1']
torsion_order	smallint	4
unit_signature_rank	smallint	0
used_grh	boolean	False

{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, -7, 0, 3, 0, -9, 0, 5, 0, -3, 0, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2334026173504, 'disc_rad': 874, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [384, 192, 192], 'galois_label': '12T137', 'galt': 137, 'grd': 41.80908992073375, 'id': 18367456, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2334026173504.1', 'local_algs': ['2.3.2.6a1.2', '2.6.1.0a1.1', '19.4.1.0a1.1', '19.2.2.2a1.1', '19.2.2.2a1.1', '23.1.1.0a1.1', '23.1.1.0a1.1', '23.2.1.0a1.1', '23.4.2.4a1.2'], 'maxp': 23, 'minimal_sibling': [1, -6, 17, -34, 53, -64, 62, -46, 27, -14, 8, -4, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 19, 23], 'rd': 10.7318718186, 'regulator': {'__RealLiteral__': 0, 'data': '18.1806291049', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.-10.0.-2.3.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}