Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:32:07.980890

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	24
base_label	text	'3.372.744.4'
class_number	smallint	4
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.0767842498702034847086279628691
det	bigint	372
dim	smallint	3
genus_reps	jsonb	[[[2, 1, 0], [1, 2, 0], [0, 0, 124]], [[2, 1, 0], [1, 6, -1], [0, -1, 34]], [[6, -3, 0], [-3, 6, -1]...
gram	jsonb	[[2, 1, 0], [1, 2, 0], [0, 0, 124]]
hermite	numeric	0.278088064262852391841152481250
index	smallint	1
kissing	bigint	6
label	text	'3.372.744.4.1'
level	bigint	744
minimum	integer	2
name	jsonb	''
shortest	jsonb	[[1, -1, 0], [1, 0, 0], [0, 1, 0]]
theta_series	jsonb	[1, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 12, 0, 0, 0, 0, 0, 6...

{'aut': 4, 'base_label': '2.10.20.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.248364706644902530860838766758', 'prec': 100}, 'det': 10, 'dim': 2, 'genus_reps': [[[1, 0], [0, 10]]], 'gram': [[1, 0], [0, 10]], 'hermite': {'__RealLiteral__': 0, 'data': '0.316227766016837933199889354443', 'prec': 100}, 'id': 17, 'index': 1, 'kissing': 2, 'label': '2.10.20.1.1', 'level': 20, 'minimum': 1, 'name': '', 'shortest': [[1, 0]], 'theta_series': [1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 4, 0, 0, 4, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 2, 4, 0, 0, 4, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 2, 8, 0, 0, 4, 0, 0, 0, 0, 4, 2, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0]}