Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:37.972436

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	2
base_label	text	'3.1908.3816.7'
class_number	smallint	7
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.379061290774383598421538105323
det	bigint	1908
dim	smallint	3
genus_reps	jsonb	[[[10, 3, 3], [3, 10, 2], [3, 2, 22]], [[2, 0, -1], [0, 20, -6], [-1, -6, 50]], [[4, 2, -2], [2, 14,...
gram	jsonb	[[10, 3, 3], [3, 10, 2], [3, 2, 22]]
hermite	numeric	0.806257702301702583245759799140
index	smallint	7
kissing	bigint	4
label	text	'3.1908.3816.7.7'
level	bigint	3816
minimum	integer	10
name	jsonb	''
shortest	jsonb	[[1, 0, 0], [0, 1, 0]]
theta_series	jsonb	[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 2, 0, 0, 0, 0, ...

{'aut': 4, 'base_label': '2.21.42.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.171387930211814384330579572971', 'prec': 100}, 'det': 21, 'dim': 2, 'genus_reps': [[[1, 0], [0, 21]]], 'gram': [[1, 0], [0, 21]], 'hermite': {'__RealLiteral__': 0, 'data': '0.218217890235992381266097485416', 'prec': 100}, 'id': 36, 'index': 1, 'kissing': 2, 'label': '2.21.42.1.1', 'level': 42, 'minimum': 1, 'name': '', 'shortest': [[1, 0]], 'theta_series': [1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 4, 0, 0, 6, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 8, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 4, 0, 0]}