Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:30:55.316859

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	2
base_label	text	'3.1592.3184.34'
class_number	smallint	34
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.296935464789609094825066167266
det	bigint	1592
dim	smallint	3
genus_reps	jsonb	[[[8, 1, 1], [1, 10, -4], [1, -4, 22]], [[10, 3, 3], [3, 12, -2], [3, -2, 16]], [[4, -1, 1], [-1, 16...
gram	jsonb	[[8, 1, 1], [1, 10, -4], [1, -4, 22]]
hermite	numeric	0.685134177421089223491535689562
index	smallint	21
kissing	bigint	2
label	text	'3.1592.3184.34.21'
level	bigint	3184
minimum	integer	8
name	jsonb	''
shortest	jsonb	[[1, 0, 0]]
theta_series	jsonb	[1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 0, 4, ...

{'aut': 4, 'base_label': '2.21.42.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.856939651059071921652897864856', 'prec': 100}, 'det': 21, 'dim': 2, 'genus_reps': [[[5, 2], [2, 5]]], 'gram': [[5, 2], [2, 5]], 'hermite': {'__RealLiteral__': 0, 'data': '1.09108945117996190633048742708', 'prec': 100}, 'id': 39, 'index': 4, 'kissing': 4, 'label': '2.21.42.1.4', 'level': 42, 'minimum': 5, 'name': '', 'shortest': [[1, 0], [0, 1]], 'theta_series': [1, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6]}