Database - lf_fields

Formats: - HTML - YAML - JSON - 2026-10-24T23:04:49.233607

Query: /api/lf_fields/?_offset=0

Table lf_fields

Local number fields

Column	Type	Example
associated_inertia	integer[]	[1, 1, 1, 1]
aut	smallint	2
c	smallint	68
canonical_filtration	text[]
coeffs	jsonb	[6, 0, 16, 32, 16, 16, 8, 16, 2, 0, 0, 0, 4, 0, 8, 16, 1]
ctr	integer	7101
ctr_family	integer	3
ctr_subfamily	integer	1
distinguished_residual_polynomials	text[]	['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1']
e	smallint	16
eisen	text	'x^16 + 16*x^15 + 8*x^14 + 4*x^12 + 2*x^8 + 16*x^7 + 8*x^6 + 16*x^5 + 16*x^4 + 32*x^3 + 16*x^2 + 6'
f	smallint	1
family	text	'2.1.16.68c'
gal	integer	1745
galois_degree	bigint	8192
galois_label	text	'16T1745'
gms	text
gsm	jsonb	[0]
hidden	text
hw	text	'$1$'
ind_of_insep	integer[]	[53, 38, 24, 8, 0]
ind_of_insep_tmp	text[]	['53A', '38A', '24A', '8A', '0A']
inertia	jsonb
inertia_gap	integer[]
is_completion	boolean	False
jump_set	integer[]	[1, 2, 4, 8, 32]
label	text	'2.16.68.32087'
n	smallint	16
new_label	text	'2.1.16.68c1.7101'
num	integer	32087
old_label	text	'2.16.68.32087'
p	integer	2
packet	text
packet_size	integer
ppow_roots_of_unity	smallint	1
ram_poly_vert	integer[]	[[1, 53], [2, 38], [4, 24], [8, 8], [16, 0]]
residual_polynomials	text[]	['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1']
rf	jsonb	[1, 1]
slopes	text
slopes_tmp	text[]
subfamily	text	'2.1.16.68c1'
subfield	text[]	['2.2.2.2', '2.4.9.5', '2.8.26.96']
subfield_mult	integer[]	[1, 1, 1]
t	smallint
top_slope	text	'05.25000000021/4'
u	smallint
unram	text	't + 1'
visible	text	'[2, 7/2, 17/4, 21/4]'
visible_tmp	text[]	['2A', '7/2A', '17/4A', '21/4A']
wild_gap	integer[]

{'associated_inertia': [1], 'aut': 1, 'c': 9, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.9.9a2.1'], 'coeffs': [3, 3, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 9, 'eisen': 'x^9 + 3*x + 3', 'f': 1, 'family': '3.1.9.9a', 'gal': 19, 'galois_degree': 144, 'galois_label': '9T19', 'gms': '1.0972222222222223', 'gsm': [-143, 339, -219, 309, -132, 102, -33, 15, -3, 1], 'hidden': '[]^{2}_{8}', 'hw': '$i$', 'id': 85419, 'ind_of_insep': [1, 1, 0], 'ind_of_insep_tmp': ['1A', '1B', '0A'], 'inertia': ['t', [9, 15]], 'inertia_gap': [72, 39], 'is_completion': True, 'jump_set': [], 'label': '3.9.9.11', 'n': 9, 'new_label': '3.1.9.9a1.1', 'num': 11, 'old_label': '3.9.9.11', 'p': 3, 'packet': '3.1.9.9a1.19a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 1], [9, 0]], 'residual_polynomials': ['z + 1'], 'rf': [3, 0], 'slopes': '[9/8, 9/8]', 'slopes_tmp': ['9/8A', '9/8B'], 'subfamily': '3.1.9.9a1', 'subfield': [], 'subfield_mult': [], 't': 8, 'top_slope': '01.1250000009/8', 'u': 2, 'unram': 't + 1', 'visible': '[9/8, 9/8]', 'visible_tmp': ['9/8A', '9/8B'], 'wild_gap': [9, 2]}