Database - lf_fields

Formats: - HTML - YAML - JSON - 2026-10-22T23:41:21.258323

Query: /api/lf_fields/?_offset=0

Table lf_fields

Local number fields

Column	Type	Example
associated_inertia	integer[]	[1, 1]
aut	smallint	2
c	smallint	40
canonical_filtration	text[]
coeffs	jsonb	[21, 8, 30, 20, 32, 60, 26, 76, 47, 40, 76, 16, 48, 32, 6, 28, 4, 4, 6, 0, 1]
ctr	integer	60
ctr_family	integer	2
ctr_subfamily	integer	130
distinguished_residual_polynomials	text[]	['z^2 + t^3', 't^3*z + t^4 + t^3 + t^2 + t']
e	smallint	4
eisen	text	'x^4 + (4*t^4 + 4*t + 4)*x^3 + (2*t^3 + 2*t)*x^2 + (4*t^4 + 4*t + 4)*x + 2'
f	smallint	5
family	text	'2.5.4.40b'
gal	integer	321
galois_degree	bigint	5120
galois_label	text	'20T321'
gms	text
gsm	jsonb	[243, 0, 1296, 0, 2376, 0, 1512, 0, -375, 0, -788, 0, -177, 0, 60, 0, 11, 0, -2, 0, 1]
hidden	text
hw	text	'$-i$'
ind_of_insep	integer[]	[5, 2, 0]
ind_of_insep_tmp	text[]	['5A', '2A', '0A']
inertia	jsonb	['i', [-1, -1]]
inertia_gap	integer[]
is_completion	boolean	False
jump_set	integer[]	[1, 3, 7]
label	text	'2.20.40.2715'
n	smallint	20
new_label	text	'2.5.4.40b130.60'
num	integer	2715
old_label	text	'2.20.40.2715'
p	integer	2
packet	text
packet_size	integer
ppow_roots_of_unity	smallint	1
ram_poly_vert	integer[]	[[1, 5], [2, 2], [4, 0]]
residual_polynomials	text[]	['z^2 + t^3', 't^3*z + (t^4 + t^3 + t^2 + t)']
rf	jsonb	[-1, 1]
slopes	text
slopes_tmp	text[]
subfamily	text	'2.5.4.40b130'
subfield	text[]	['2.5.0.1', '2.10.10.3']
subfield_mult	integer[]	[1, 1]
t	smallint	1
top_slope	text	'03.0000000003'
u	smallint	5
unram	text	't^5 + t^2 + 1'
visible	text	'[2, 3]'
visible_tmp	text[]	['2A', '3A']
wild_gap	integer[]

{'associated_inertia': [1], 'aut': 8, 'c': 12, 'canonical_filtration': ['2.4.1.0a1.1', '2.4.1.0a1.1'], 'coeffs': [7, 6, 1, 0, 6, 2, 0, 0, 1], 'ctr': 9, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 4*x + 2', 'f': 4, 'family': '2.4.2.12a', 'gal': 2, 'galois_degree': 8, 'galois_label': '8T2', 'gms': '1.5', 'gsm': [16, 0, 8, 0, 4, 0, 2, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'id': 137, 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 3], 'label': '2.8.12.1', 'n': 8, 'new_label': '2.4.2.12a1.9', 'num': 1, 'old_label': '2.8.12.1', 'p': 2, 'packet': '2.4.2.12a1.2a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 2], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [1, 0], 'slopes': '[3]', 'slopes_tmp': ['3A'], 'subfamily': '2.4.2.12a1', 'subfield': ['2.2.0.1', '2.2.3.1', '2.2.3.2', '2.4.0.1', '2.4.6.1', '2.4.6.3'], 'subfield_mult': [1, 1, 1, 1, 1, 1], 't': 1, 'top_slope': '03.0000000003', 'u': 4, 'unram': 't^4 + t + 1', 'visible': '[3]', 'visible_tmp': ['3A'], 'wild_gap': [2, 1]}