Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:30:55.315260

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	4
base_label	text	'3.896.224.2'
class_number	smallint	2
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Odd Ternary Quadratic Forms'
density	numeric	0.257081895317721576495869359457
det	bigint	896
dim	smallint	3
genus_reps	jsonb	[[[6, 2, 0], [2, 10, 0], [0, 0, 16]], [[4, 0, 0], [0, 6, 2], [0, 2, 38]]]
gram	jsonb	[[6, 2, 0], [2, 10, 0], [0, 0, 16]]
hermite	numeric	0.622369900024682580750743622712
index	smallint	2
kissing	bigint	2
label	text	'3.896.224.2.2'
level	bigint	224
minimum	integer	6
name	jsonb	''
shortest	jsonb	[[1, 0, 0]]
theta_series	jsonb	[1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 4, 0, 2, 0, 6, 0, 4, 0, 0, 0, 0, ...

{'aut': 8, 'base_label': '2.1.2.1', 'class_number': 1, 'comments': 'This is the square lattice Z2', 'density': {'__RealLiteral__': 0, 'data': '0.785398163397448309615660845820', 'prec': 100}, 'det': 1, 'dim': 2, 'genus_reps': [[[1, 0], [0, 1]]], 'gram': [[1, 0], [0, 1]], 'hermite': {'__RealLiteral__': 0, 'data': '1.00000000000000000000000000000', 'prec': 100}, 'id': 2, 'index': 1, 'kissing': 4, 'label': '2.1.2.1.1', 'level': 2, 'minimum': 1, 'name': ['Z2', 'I2'], 'shortest': [[1, 0], [0, 1]], 'theta_series': [1, 4, 4, 0, 4, 8, 0, 0, 4, 4, 8, 0, 0, 8, 0, 0, 4, 8, 4, 0, 8, 0, 0, 0, 0, 12, 8, 0, 0, 8, 0, 0, 4, 0, 8, 0, 4, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 4, 12, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 4, 16, 0, 0, 8, 0, 0, 0, 4, 8, 8, 0, 0, 0, 0, 0, 8, 4, 8, 0, 0, 16, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 4, 0, 12, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 4, 8, 0, 0, 16, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 4, 16, 8, 0, 8, 8, 0]}