Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:57.087918

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	4
base_label	text	'3.538.1076.17'
class_number	smallint	17
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.0638487615700012306320318751491
det	bigint	538
dim	smallint	3
genus_reps	jsonb	[[[2, 0, 1], [0, 6, 2], [1, 2, 46]], [[2, 1, 0], [1, 18, -9], [0, -9, 20]], [[8, 1, 2], [1, 8, 3], [...
gram	jsonb	[[2, 0, 1], [0, 6, 2], [1, 2, 46]]
hermite	numeric	0.245906063214494367157499938277
index	smallint	4
kissing	bigint	2
label	text	'3.538.1076.17.4'
level	bigint	1076
minimum	integer	2
name	jsonb	''
shortest	jsonb	[[1, 0, 0]]
theta_series	jsonb	[1, 0, 2, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 4, 0, 0, 0, 0, 0, 6, ...

{'aut': 4, 'base_label': '2.45.90.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.585401227586727199429697886934', 'prec': 100}, 'det': 45, 'dim': 2, 'genus_reps': [[[5, 0], [0, 9]]], 'gram': [[5, 0], [0, 9]], 'hermite': {'__RealLiteral__': 0, 'data': '0.745355992499929898803057889577', 'prec': 100}, 'id': 78, 'index': 2, 'kissing': 2, 'label': '2.45.90.1.2', 'level': 90, 'minimum': 5, 'name': '', 'shortest': [[1, 0]], 'theta_series': [1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0]}