Database - lf_fields

Formats: - HTML - YAML - JSON - 2026-11-05T22:03:09.499985

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	50
canonical_filtration	text[]
coeffs	jsonb	[15, 16, 32, 40, 42, 56, 60, 64, 57, 64, 38, 40, 40, 16, 22, 8, 4, 8, 0, 0, 1]
ctr	integer	989
ctr_family	integer	1
ctr_subfamily	integer	3
distinguished_residual_polynomials	text[]	['z^2 + 1', 'z + t^2 + 1']
e	smallint	4
eisen	text	'x^4 + (4*t^4 + 4*t^3 + 4*t)*x^3 + (4*t^3 + 4*t + 8)*x^2 + (8*t^2 + 8)*x + 2'
f	smallint	5
family	text	'2.5.4.50a'
gal	integer	410
galois_degree	bigint	10240
galois_label	text	'20T410'
gms	text
gsm	jsonb	[0]
hidden	text
hw	text	'$i$'
ind_of_insep	integer[]	[7, 4, 0]
ind_of_insep_tmp	text[]	['7A', '4A', '0A']
inertia	jsonb
inertia_gap	integer[]
is_completion	boolean	False
jump_set	integer[]	[1, 3, 7]
label	text	'2.20.50.20348'
n	smallint	20
new_label	text	'2.5.4.50a3.989'
num	integer	20348
old_label	text	'2.20.50.20348'
p	integer	2
packet	text
packet_size	integer
ppow_roots_of_unity	smallint	1
ram_poly_vert	integer[]	[[1, 7], [2, 4], [4, 0]]
residual_polynomials	text[]	['z^2 + 1', 'z + (t^2 + 1)']
rf	jsonb	[-1, 0]
slopes	text
slopes_tmp	text[]
subfamily	text	'2.5.4.50a3'
subfield	text[]	['2.5.0.1', '2.10.15.11']
subfield_mult	integer[]	[1, 1]
t	smallint
top_slope	text	'03.5000000007/2'
u	smallint
unram	text	't^5 + t^2 + 1'
visible	text	'[3, 7/2]'
visible_tmp	text[]	['3A', '7/2A']
wild_gap	integer[]

{'associated_inertia': [1], 'aut': 2, 'c': 2, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1'], 'coeffs': [6, 2, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 2, 'eisen': 'x^2 + 2*x + 6', 'f': 1, 'family': '2.1.2.2a', 'gal': 1, 'galois_degree': 2, 'galois_label': '2T1', 'gms': '1.0', 'gsm': [-3, 0, 1], 'hidden': '[]', 'hw': '$i$', 'id': 3, 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['t', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [1, 4], 'label': '2.2.2.2', 'n': 2, 'new_label': '2.1.2.2a1.2', 'num': 2, 'old_label': '2.2.2.2', 'p': 2, 'packet': '2.1.2.2a1.1a', 'packet_size': 2, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 1], [2, 0]], 'residual_polynomials': ['z + 1'], 'rf': [-1, 1], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '2.1.2.2a1', 'subfield': [], 'subfield_mult': [], 't': 1, 'top_slope': '02.0000000002', 'u': 1, 'unram': 't + 1', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [2, 1]}