Database - nf_fields

Formats: - HTML - YAML - JSON - 2026-10-28T14:28:35.554823

Query: /api/nf_fields/?_offset=0

Table nf_fields

Number fields

Column	Type	Example
class_group	jsonb	[2, 2]
class_number	numeric	4
cm	boolean	False
coeffs	numeric[]	[-360, 0, 14400, 0, 5700, 0, 780, 0, 45, 0, 1]
conductor	numeric	0
degree	smallint	10
disc_abs	numeric	136048896000000000000000
disc_rad	numeric	30
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[]	[13380, 6080, 5952]
galois_label	text	'10T39'
galt	integer	39
grd	double precision	772.2303826245477
index	integer	1
inessentialp	integer[]	[]
is_galois	boolean	False
is_minimal_sibling	boolean	False
iso_number	smallint	59
label	text	'10.2.136048896000000000000000.59'
local_algs	text[]	['2.1.2.2a1.2', '2.1.8.21a2.26', '3.1.4.3a1.2', '3.1.6.9a1.3', '5.1.10.15a2.7']
maximal_cm_subfield	numeric[]
maxp	numeric	5
minimal_sibling	numeric[]	[221184, 0, -24930, 0, 1900, 0, 90, 0, -30, 0, 1]
monogenic	smallint	0
narrow_class_group	bigint[]	[2, 2, 2]
narrow_class_number	bigint	8
num_ram	smallint	3
r2	smallint	4
ramps	numeric[]	[2, 3, 5]
rd	double precision	205.764051309
regulator	numeric	116651728.906
relative_class_number	numeric
subfield_mults	integer[]	[1]
subfields	text[]	['336.-375.-280.-30.0.1']
torsion_order	smallint	2
unit_signature_rank	smallint	1
used_grh	boolean	True

{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 0, 4, -24, -1, -22, 20, -6, 12, -8, 2, -2, 1], 'conductor': 0, 'degree': 12, 'disc_abs': 1980683255808, 'disc_rad': 138, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [744, 192, 192], 'galois_label': '12T137', 'galt': 137, 'grd': 31.81780105063763, 'id': 18367418, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '12.2.1980683255808.2', 'local_algs': ['2.3.4.18a8.1', '3.6.1.0a1.1', '3.3.2.3a1.1', '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, 0, 4, 0, 6, 0, 0, 0, -4, 0, -1, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 5, 'ramps': [2, 3, 23], 'rd': 10.5860657204, 'regulator': {'__RealLiteral__': 0, 'data': '15.9146900417', 'prec': 40}, 'subfield_mults': [1, 1], 'subfields': ['1.0.-1.1', '-1.0.0.0.1.0.1'], 'torsion_order': 2, 'unit_signature_rank': 2, 'used_grh': False}