Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:08.745866

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	12
base_label	text	'3.800.320.2'
class_number	smallint	2
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.585401227586727199429697886934
det	bigint	800
dim	smallint	3
genus_reps	jsonb	[[[10, 5, 5], [5, 10, 5], [5, 5, 14]], [[6, 1, 2], [1, 6, 2], [2, 2, 24]]]
gram	jsonb	[[10, 5, 5], [5, 10, 5], [5, 5, 14]]
hermite	numeric	1.07721734501594186087964678326
index	smallint	2
kissing	bigint	6
label	text	'3.800.320.2.2'
level	bigint	320
minimum	integer	10
name	jsonb	''
shortest	jsonb	[[1, -1, 0], [1, 0, 0], [0, 1, 0]]
theta_series	jsonb	[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, ...

{'aut': 4, 'base_label': '2.43.43.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.239544194119928605882246946460', 'prec': 100}, 'det': 43, 'dim': 2, 'genus_reps': [[[2, 1], [1, 22]]], 'gram': [[2, 1], [1, 22]], 'hermite': {'__RealLiteral__': 0, 'data': '0.304997140665209332667167906867', 'prec': 100}, 'id': 76, 'index': 1, 'kissing': 2, 'label': '2.43.43.1.1', 'level': 43, 'minimum': 2, 'name': '', 'shortest': [[1, 0]], 'theta_series': [1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]}