Database - lf_fields

Formats: - HTML - YAML - JSON - 2026-10-23T04:30:32.310242

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	45
canonical_filtration	text[]
coeffs	jsonb	[11, 4, 16, 24, 26, 48, 26, 52, 43, 36, 56, 12, 38, 24, 6, 24, 2, 4, 6, 0, 1]
ctr	integer	1351
ctr_family	integer	1
ctr_subfamily	integer	4
distinguished_residual_polynomials	text[]	['z^2 + t^2 + t + 1', '(t^2 + t + 1)*z + t^2 + t + 1']
e	smallint	4
eisen	text	'x^4 + 4*t*x^3 + (2*t^2 + 2*t + 2)*x^2 + (8*t^3 + 8*t + 8)*x + 2'
f	smallint	5
family	text	'2.5.4.45a'
gal	integer	427
galois_degree	bigint	10240
galois_label	text	'20T427'
gms	text
gsm	jsonb	[32, 0, -320, 0, 416, 0, 832, 0, -2720, 0, 2792, 0, -1284, 0, 216, 0, 24, 0, -12, 0, 1]
hidden	text
hw	text	'$1$'
ind_of_insep	integer[]	[6, 2, 0]
ind_of_insep_tmp	text[]	['6A', '2A', '0A']
inertia	jsonb	['i', [-1, -1]]
inertia_gap	integer[]
is_completion	boolean	False
jump_set	integer[]	[1, 3, 7]
label	text	'2.20.45.5929'
n	smallint	20
new_label	text	'2.5.4.45a4.1351'
num	integer	5929
old_label	text	'2.20.45.5929'
p	integer	2
packet	text
packet_size	integer
ppow_roots_of_unity	smallint	1
ram_poly_vert	integer[]	[[1, 6], [2, 2], [4, 0]]
residual_polynomials	text[]	['z^2 + (t^2 + t + 1)', '(t^2 + t + 1)*z + (t^2 + t + 1)']
rf	jsonb	[2, 0]
slopes	text
slopes_tmp	text[]
subfamily	text	'2.5.4.45a4'
subfield	text[]	['2.5.0.1', '2.10.10.10']
subfield_mult	integer[]	[1, 1]
t	smallint	1
top_slope	text	'03.5000000007/2'
u	smallint	5
unram	text	't^5 + t^2 + 1'
visible	text	'[2, 7/2]'
visible_tmp	text[]	['2A', '7/2A']
wild_gap	integer[]

{'associated_inertia': [1], 'aut': 16, 'c': 12, 'canonical_filtration': ['5.4.1.0a1.1', '5.4.4.12a1.1'], 'coeffs': [21, 128, 512, 1280, 2208, 2752, 2624, 2048, 1432, 864, 448, 192, 104, 16, 16, 0, 1], 'ctr': 4, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 4*z^2 + z + 4'], 'e': 4, 'eisen': 'x^4 + 5', 'f': 4, 'family': '5.4.4.12a', 'gal': 4, 'galois_degree': 16, 'galois_label': '16T4', 'gms': '0.75', 'gsm': [0], 'hidden': '[]', 'hw': '$-1$', 'id': 89574, 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [1], 'label': '5.16.12.1', 'n': 16, 'new_label': '5.4.4.12a1.4', 'num': 1, 'old_label': '5.16.12.1', 'p': 5, 'packet': '5.4.4.12a1.4a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [4, 0]], 'residual_polynomials': ['z^3 + 4*z^2 + z + 4'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '5.4.4.12a1', 'subfield': ['5.2.0.1', '5.2.1.1', '5.2.1.2', '5.4.0.1', '5.4.2.1', '5.4.2.2', '5.4.3.1', '5.4.3.2', '5.4.3.3', '5.4.3.4', '5.8.4.1', '5.8.6.1', '5.8.6.2'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 't': 4, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^4 + 4*t^2 + 4*t + 2', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}