Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:28.326522

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	4
base_label	text	'3.1908.1272.8'
class_number	smallint	8
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.271234180419307399609928891732
det	bigint	1908
dim	smallint	3
genus_reps	jsonb	[[[8, 2, 1], [2, 8, 1], [1, 1, 32]], [[8, 0, 1], [0, 12, 0], [1, 0, 20]], [[6, 3, 3], [3, 12, 3], [3...
gram	jsonb	[[8, 2, 1], [2, 8, 1], [1, 1, 32]]
hermite	numeric	0.645006161841362066596607839312
index	smallint	5
kissing	bigint	4
label	text	'3.1908.1272.8.5'
level	bigint	1272
minimum	integer	8
name	jsonb	''
shortest	jsonb	[[1, 0, 0], [0, 1, 0]]
theta_series	jsonb	[1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10,...

{'aut': 4, 'base_label': '2.27.27.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.302299894039036308432346376273', 'prec': 100}, 'det': 27, 'dim': 2, 'genus_reps': [[[2, 1], [1, 14]]], 'gram': [[2, -1], [-1, 14]], 'hermite': {'__RealLiteral__': 0, 'data': '0.384900179459750509672765853668', 'prec': 100}, 'id': 48, 'index': 1, 'kissing': 2, 'label': '2.27.27.1.1', 'level': 27, 'minimum': 2, 'name': '', 'shortest': [[1, 0]], 'theta_series': [1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 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, 6, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 12, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0]}