Database - lat_lattices

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:56.993943

Query: /api/lat_lattices/?_offset=0

Table lat_lattices

Integral lattices

Column	Type	Example
aut	numeric	4
base_label	text	'3.1420.2840.21'
class_number	smallint	21
comments	text	'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms'
density	numeric	0.439394331709063750485740857932
det	bigint	1420
dim	smallint	3
genus_reps	jsonb	[[[10, 0, 3], [0, 10, 3], [3, 3, 16]], [[8, 1, -1], [1, 14, -4], [-1, -4, 14]], [[4, 2, 1], [2, 20, ...
gram	jsonb	[[10, 0, 3], [0, 10, 3], [3, 3, 16]]
hermite	numeric	0.889686946293124476523098329279
index	smallint	21
kissing	bigint	4
label	text	'3.1420.2840.21.21'
level	bigint	2840
minimum	integer	10
name	jsonb	''
shortest	jsonb	[[1, 0, 0], [0, 1, 0]]
theta_series	jsonb	[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, ...

{'aut': 4, 'base_label': '2.33.66.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.136720271276137961588964502862', 'prec': 100}, 'det': 33, 'dim': 2, 'genus_reps': [[[1, 0], [0, 33]]], 'gram': [[1, 0], [0, 33]], 'hermite': {'__RealLiteral__': 0, 'data': '0.174077655955697838177291256613', 'prec': 100}, 'id': 56, 'index': 1, 'kissing': 2, 'label': '2.33.66.1.1', 'level': 66, '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, 2, 4, 0, 2, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 4, 0, 0]}