Database - lf_fields

Formats: - HTML - YAML - JSON - 2026-10-22T18:50:06.208095

Query: /api/lf_fields/?_offset=0

Table lf_fields

Local number fields

Column	Type	Example
associated_inertia	integer[]	[4, 1, 1]
aut	smallint	2
c	smallint	59
canonical_filtration	text[]
coeffs	jsonb	[2, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 4, 0, 0, 8, 4, 8, 1]
ctr	integer	7041
ctr_family	integer	1
ctr_subfamily	integer	1
distinguished_residual_polynomials	text[]	['z^16 + z^12 + 1', 'z^2 + 1', 'z + 1']
e	smallint	20
eisen	text	'x^20 + 8*x^19 + 4*x^18 + 8*x^17 + 4*x^14 + 8*x^13 + 8*x^11 + 8*x^5 + 8*x^3 + 8*x + 2'
f	smallint	1
family	text	'2.1.20.59a'
gal	integer	906
galois_degree	bigint	327680
galois_label	text	'20T906'
gms	text
gsm	jsonb	[0]
hidden	text
hw	text	'$-i$'
ind_of_insep	integer[]	[40, 20, 0]
ind_of_insep_tmp	text[]	['40A', '20A', '0A']
inertia	jsonb
inertia_gap	integer[]
is_completion	boolean	False
jump_set	integer[]	[5, 15, 35]
label	text	'2.20.59.56793'
n	smallint	20
new_label	text	'2.1.20.59a1.7041'
num	integer	56793
old_label	text	'2.20.59.56793'
p	integer	2
packet	text
packet_size	integer
ppow_roots_of_unity	smallint	1
ram_poly_vert	integer[]	[[1, 40], [2, 20], [4, 0], [20, 0]]
residual_polynomials	text[]	['z^16 + z^12 + 1', 'z^2 + 1', 'z + 1']
rf	jsonb	[-2, 0]
slopes	text
slopes_tmp	text[]
subfamily	text	'2.1.20.59a1'
subfield	text[]	['2.5.4.1', '2.10.19.45']
subfield_mult	integer[]	[1, 1]
t	smallint
top_slope	text	'04.0000000004'
u	smallint
unram	text	't + 1'
visible	text	'[3, 4]'
visible_tmp	text[]	['3A', '4A']
wild_gap	integer[]

{'associated_inertia': [1], 'aut': 16, 'c': 12, 'canonical_filtration': ['3.4.1.0a1.1', '3.4.4.12a1.2'], 'coeffs': [16, 0, 3, 64, 32, 0, 96, 96, 24, 64, 96, 48, 24, 32, 24, 8, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + z^2 + 1'], 'e': 4, 'eisen': 'x^4 + 3*t^2', 'f': 4, 'family': '3.4.4.12a', 'gal': 6, 'galois_degree': 16, 'galois_label': '16T6', 'gms': '0.75', 'gsm': [0], 'hidden': '[]', 'hw': '$-1$', 'id': 88180, 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [2], 'label': '3.16.12.2', 'n': 16, 'new_label': '3.4.4.12a1.1', 'num': 2, 'old_label': '3.16.12.2', 'p': 3, 'packet': '3.4.4.12a1.6a', 'packet_size': 1, 'ppow_roots_of_unity': 1, 'ram_poly_vert': [[1, 0], [4, 0]], 'residual_polynomials': ['z^3 + z^2 + 1'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '3.4.4.12a1', 'subfield': ['3.2.0.1', '3.2.1.1', '3.2.1.2', '3.4.0.1', '3.4.2.1', '3.4.2.2', '3.8.4.1', '3.8.6.3'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 1, 2], 't': 4, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^4 + 2*t^3 + 2', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}