Database - nf_fields

Formats: - HTML - YAML - JSON - 2026-10-28T14:28:24.495511

Query: /api/nf_fields/?_offset=0

Table nf_fields

Number fields

Column	Type	Example
class_group	jsonb	[]
class_number	numeric	1
cm	boolean	False
coeffs	numeric[]	[-332, 136, 75, -15, -10, -1, 1]
conductor	numeric	0
degree	smallint	6
disc_abs	numeric	170254656
disc_rad	numeric	45474
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[]	[72, 24, 24, 24, 24]
galois_label	text	'6T11'
galt	integer	11
grd	double precision	426.4926728561699
index	integer	1
inessentialp	integer[]	[]
is_galois	boolean	False
is_minimal_sibling	boolean	True
iso_number	smallint	1
label	text	'6.2.170254656.1'
local_algs	text[]	['2.1.2.3a1.2', '2.1.2.3a1.2', '2.2.1.0a1.1', '3.3.2.3a1.1', '11.2.1.0a1.1', '11.2.1.0a1.1', '11.1.2...
maximal_cm_subfield	numeric[]
maxp	numeric	53
minimal_sibling	numeric[]
monogenic	smallint	0
narrow_class_group	bigint[]	[2]
narrow_class_number	bigint	2
num_ram	smallint	5
r2	smallint	2
ramps	numeric[]	[2, 3, 11, 13, 53]
rd	double precision	23.5423511343
regulator	numeric	192.487792237
relative_class_number	numeric
subfield_mults	integer[]	[1]
subfields	text[]	['-2.-1.0.1']
torsion_order	smallint	2
unit_signature_rank	smallint	1
used_grh	boolean	False

{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, 9, -12, 9, -4, 1, -4, 9, -12, 9, -4, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 868902484375, 'disc_rad': 331405, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2304, 2304, 2304], 'galois_label': '12T260', 'galt': 260, 'grd': 575.6778613078673, 'id': 18367261, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '12.2.868902484375.1', 'local_algs': ['5.3.2.3a1.2', '5.3.2.3a1.2', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.2.1.0a1.1', '79.1.2.1a1.2', '79.2.1.0a1.1', '79.2.1.0a1.1', 'm839.1.1.0', 'm839.1.1.0', 'm839.2.1.1', 'm839.2.1.1', 'm839.1.3.0', 'm839.1.3.0'], 'maxp': 839, 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [5, 79, 839], 'rd': 9.88357934796, 'regulator': {'__RealLiteral__': 0, 'data': '9.72826881496', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.1.2.1.-1.-2.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}