Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:32:08.015550

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	4
base_label	text	'3.1488.2976.19'
class_number	smallint	19
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.0383921249351017423543139814345
det	bigint	1488
dim	smallint	3
genus_reps	jsonb	[[[2, 1, 0], [1, 20, 6], [0, 6, 40]], [[6, -3, -3], [-3, 8, 0], [-3, 0, 40]], [[2, 1, -1], [1, 24, -...
gram	jsonb	[[2, 1, 0], [1, 20, 6], [0, 6, 40]]
hermite	numeric	0.175184502944642971705775017878
index	smallint	2
kissing	bigint	2
label	text	'3.1488.2976.19.2'
level	bigint	2976
minimum	integer	2
name	jsonb	''
shortest	jsonb	[[1, 0, 0]]
theta_series	jsonb	[1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 6, ...

{'aut': 4, 'base_label': '2.60.120.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.101394466899340297423824019257', 'prec': 100}, 'det': 60, 'dim': 2, 'genus_reps': [[[1, 0], [0, 60]]], 'gram': [[1, 0], [0, 60]], 'hermite': {'__RealLiteral__': 0, 'data': '0.129099444873580562839308846659', 'prec': 100}, 'id': 100, 'index': 1, 'kissing': 2, 'label': '2.60.120.1.1', 'level': 120, 'minimum': 1, 'name': '', 'shortest': [[1, 0]], 'theta_series': [1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 6, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0]}