Database - lf_fields

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Query: /api/lf_fields/?_offset=0

Table lf_fields

Local number fields

Column	Type	Example
associated_inertia	integer[]	[1, 1, 1]
aut	smallint	3
c	smallint	53
canonical_filtration	text[]
coeffs	jsonb	[3, 0, 27, 0, 54, 27, 0, 27, 27, 63, 0, 0, 0, 0, 0, 0, 0, 0, 1]
ctr	integer	503
ctr_family	integer	1
ctr_subfamily	integer	1
distinguished_residual_polynomials	text[]	['z^9 + 2', '2*z^6 + 1', 'z^2 + 2']
e	smallint	18
eisen	text	'x^18 + 63*x^9 + 27*x^8 + 27*x^7 + 27*x^5 + 54*x^4 + 27*x^2 + 3'
f	smallint	1
family	text	'3.1.18.53a'
gal	integer	457
galois_degree	bigint	4374
galois_label	text	'18T457'
gms	text
gsm	jsonb	[0]
hidden	text
hw	text	'$i$'
ind_of_insep	integer[]	[36, 18, 0]
ind_of_insep_tmp	text[]	['36A', '18A', '0A']
inertia	jsonb
inertia_gap	integer[]
is_completion	boolean	False
jump_set	integer[]	[1, 7, 25]
label	text	'3.18.53.5532'
n	smallint	18
new_label	text	'3.1.18.53a1.503'
num	integer	5532
old_label	text	'3.18.53.5532'
p	integer	3
packet	text
packet_size	integer
ppow_roots_of_unity	smallint	1
ram_poly_vert	integer[]	[[1, 36], [3, 18], [9, 0], [18, 0]]
residual_polynomials	text[]	['z^9 + 2', '2*z^6 + 1', 'z^2 + 2']
rf	jsonb	[3, 1]
slopes	text
slopes_tmp	text[]
subfamily	text	'3.1.18.53a1'
subfield	text[]	['3.2.1.2', '3.6.11.12']
subfield_mult	integer[]	[1, 1]
t	smallint
top_slope	text	'03.5000000007/2'
u	smallint
unram	text	't + 1'
visible	text	'[5/2, 7/2]'
visible_tmp	text[]	['5/2A', '7/2A']
wild_gap	integer[]

{'associated_inertia': [1], 'aut': 8, 'c': 4, 'canonical_filtration': ['7.4.1.0a1.1', '7.4.2.4a1.2'], 'coeffs': [9, 31, 46, 40, 31, 8, 10, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z + 2'], 'e': 2, 'eisen': 'x^2 + 7*t', 'f': 4, 'family': '7.4.2.4a', 'gal': 1, 'galois_degree': 8, 'galois_label': '8T1', 'gms': '0.5', 'gsm': [1157, -846, 500, -350, 151, -28, 27, -1, 1], 'hidden': '[]', 'hw': '$1$', 'id': 89694, 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [2, 1]], 'inertia_gap': [2, 1], 'is_completion': True, 'jump_set': [], 'label': '7.8.4.2', 'n': 8, 'new_label': '7.4.2.4a1.1', 'num': 2, 'old_label': '7.8.4.2', 'p': 7, 'packet': '7.4.2.4a1.1a', 'packet_size': 1, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [2, 0]], 'residual_polynomials': ['z + 2'], 'rf': [1, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.4.2.4a1', 'subfield': ['7.2.0.1', '7.4.0.1'], 'subfield_mult': [1, 1], 't': 2, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^4 + 5*t^2 + 4*t + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}