Database - nf_fields

Formats: - HTML - YAML - JSON - 2026-10-28T14:28:35.661846

Query: /api/nf_fields/?_offset=0

Table nf_fields

Number fields

Column	Type	Example
class_group	jsonb	[2, 6, 18, 72]
class_number	numeric	15552
cm	boolean	False
coeffs	numeric[]	[952619763663, 547759256760, 129765472227, 43486278840, -35398421145, 4212686880, 9446319792, -10283...
conductor	numeric	0
degree	smallint	18
disc_abs	numeric	566261308010429365356143466301832763303000000000000
disc_rad	numeric	6630
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[]	[24, 74, 24, 18, 18]
galois_label	text	'18T11'
galt	integer	11
grd	double precision	660.103521048923
index	integer	1
inessentialp	integer[]	[]
is_galois	boolean	False
is_minimal_sibling	boolean	False
iso_number	smallint	1
label	text	'18.0.566261308010429365356143466301832763303000000000000.1'
local_algs	text[]	['2.3.3.6a1.1', '2.3.3.6a1.1', '3.1.18.37c1.58', '5.2.3.4a1.2', '5.2.3.4a1.2', '5.2.3.4a1.2', '13.1....
maximal_cm_subfield	numeric[]	[166, -1, 1]
maxp	numeric	17
minimal_sibling	numeric[]	[3600, 0, 0, -900, 0, 0, 1]
monogenic	smallint	0
narrow_class_group	bigint[]	[2, 6, 18, 72]
narrow_class_number	bigint	15552
num_ram	smallint	5
r2	smallint	9
ramps	numeric[]	[2, 3, 5, 13, 17]
rd	double precision	660.103521049
regulator	numeric	230746465124846.06
relative_class_number	numeric
subfield_mults	integer[]	[1, 3, 1, 1, 1, 3]
subfields	text[]	['166.-1.1', '-15.-3.0.1', '-60.0.0.1', '4607716.-142248.82986.-877.501.-3.1', '5967.0.81.0.-18.0.1'...
torsion_order	smallint	2
unit_signature_rank	smallint	0
used_grh	boolean	True

{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 5, 0, -3, 3, 3, 2, -6, 7, -1, -1, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 2332363542187, 'disc_rad': 29197, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1024, 768, 768], 'galois_label': '12T222', 'galt': 222, 'grd': 236.32996370203557, 'id': 22175435, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '12.2.2332363542187.1', 'local_algs': ['7.4.3.8a1.3', '43.1.2.1a1.2', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '43.2.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.1.0a1.1', '97.2.2.2a1.2'], 'maxp': 97, 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 43, 97], 'rd': 10.731234544488437, 'regulator': {'__RealLiteral__': 0, 'data': '18.576521347942254', 'prec': 57}, 'subfield_mults': [1, 1], 'subfields': ['1.-2.-1.1', '-1.-3.7.-9.7.-3.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}