Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:56.825078

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	4
base_label	text	'3.796.1592.20'
class_number	smallint	20
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.148467732394804547412533083633
det	bigint	796
dim	smallint	3
genus_reps	jsonb	[[[4, 0, 0], [0, 8, 3], [0, 3, 26]], [[4, 0, -2], [0, 8, 1], [-2, 1, 26]], [[8, 1, -2], [1, 10, -4],...
gram	jsonb	[[4, 0, 0], [0, 8, 3], [0, 3, 26]]
hermite	numeric	0.431607486067619519411520385346
index	smallint	10
kissing	bigint	2
label	text	'3.796.1592.20.10'
level	bigint	1592
minimum	integer	4
name	jsonb	''
shortest	jsonb	[[1, 0, 0]]
theta_series	jsonb	[1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2, 0, 4, 0, 6, ...

{'aut': 4, 'base_label': '2.21.42.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.342775860423628768661159145942', 'prec': 100}, 'det': 21, 'dim': 2, 'genus_reps': [[[2, 1], [1, 11]]], 'gram': [[2, 1], [1, 11]], 'hermite': {'__RealLiteral__': 0, 'data': '0.436435780471984762532194970831', 'prec': 100}, 'id': 38, 'index': 3, 'kissing': 2, 'label': '2.21.42.1.3', 'level': 42, 'minimum': 2, 'name': '', 'shortest': [[1, 0]], 'theta_series': [1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]}