Database - lf_fields

Formats: - HTML - YAML - JSON - 2026-10-25T06:49:16.245213

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	73
canonical_filtration	text[]
coeffs	jsonb	[2, 32, 16, 32, 16, 32, 0, 32, 0, 0, 40, 16, 8, 16, 0, 16, 1]
ctr	integer	1506
ctr_family	integer	2
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 + 16*x^13 + 8*x^12 + 16*x^11 + 40*x^10 + 32*x^7 + 32*x^5 + 16*x^4 + 32*x^3 + 16*x^2 ...
f	smallint	1
family	text	'2.1.16.73b'
gal	integer	1444
galois_degree	bigint	2048
galois_label	text	'16T1444'
gms	text
gsm	jsonb	[0]
hidden	text
hw	text	'$-i$'
ind_of_insep	integer[]	[58, 42, 32, 16, 0]
ind_of_insep_tmp	text[]	['58A', '42A', '32A', '16A', '0A']
inertia	jsonb
inertia_gap	integer[]
is_completion	boolean	False
jump_set	integer[]	[1, 3, 7, 15, 31]
label	text	'2.16.73.5188'
n	smallint	16
new_label	text	'2.1.16.73b1.1506'
num	integer	5188
old_label	text	'2.16.73.5188'
p	integer	2
packet	text
packet_size	integer
ppow_roots_of_unity	smallint	1
ram_poly_vert	integer[]	[[1, 58], [2, 42], [4, 32], [8, 16], [16, 0]]
residual_polynomials	text[]	['z^8 + 1', 'z^4 + 1', 'z^2 + 1', 'z + 1']
rf	jsonb	[-2, 1]
slopes	text
slopes_tmp	text[]
subfamily	text	'2.1.16.73b1'
subfield	text[]	['2.2.3.3', '2.4.11.17', '2.8.28.37']
subfield_mult	integer[]	[1, 1, 1]
t	smallint
top_slope	text	'05.62500000045/8'
u	smallint
unram	text	't + 1'
visible	text	'[3, 4, 17/4, 45/8]'
visible_tmp	text[]	['3A', '4A', '17/4A', '45/8A']
wild_gap	integer[]

{'associated_inertia': [1], 'aut': 1, 'c': 9, 'canonical_filtration': ['5.1.1.0a1.1', '5.1.1.0a1.1'], 'coeffs': [5, 25, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 1'], 'e': 5, 'eisen': 'x^5 + 25*x + 5', 'f': 1, 'family': '5.1.5.9a', 'gal': 3, 'galois_degree': 20, 'galois_label': '5T3', 'gms': '1.95', 'gsm': [-30, 0, 0, 0, 0, 1], 'hidden': '[]_{4}', 'hw': '$-1$', 'id': 88249, 'ind_of_insep': [5, 0], 'ind_of_insep_tmp': ['5A', '0A'], 'inertia': ['t', [5, 3]], 'inertia_gap': [20, 3], 'is_completion': True, 'jump_set': [], 'label': '5.5.9.4', 'n': 5, 'new_label': '5.1.5.9a1.2', 'num': 4, 'old_label': '5.5.9.4', 'p': 5, 'packet': '5.1.5.9a1.3a', 'packet_size': 5, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 5], [5, 0]], 'residual_polynomials': ['z + 1'], 'rf': [5, 0], 'slopes': '[9/4]', 'slopes_tmp': ['9/4A'], 'subfamily': '5.1.5.9a1', 'subfield': [], 'subfield_mult': [], 't': 4, 'top_slope': '02.2500000009/4', 'u': 1, 'unram': 't + 3', 'visible': '[9/4]', 'visible_tmp': ['9/4A'], 'wild_gap': [5, 1]}