Lattice data - 3.126.252.3.2

Formats: - HTML - YAML - JSON - 2024-06-01T10:47:43.735759

• lat_lattices •

  Column	Type
  aut	numeric
  base_label	text
  class_number	smallint
  comments	text
  density	numeric
  det	bigint
  dim	smallint
  genus_reps	jsonb
  gram	jsonb
  hermite	numeric
  index	smallint
  kissing	bigint
  label	text
  level	bigint
  minimum	integer
  name	jsonb
  shortest	jsonb
  theta_series	jsonb

  
  {'aut': 8, 'base_label': '3.126.252.3', 'class_number': 3, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.131934490191525105420513921994', 'prec': 107}, 'det': 126, 'dim': 3, 'genus_reps': [[[2, 1, 0], [1, 4, 0], [0, 0, 18]], [[2, 0, 0], [0, 8, 1], [0, 1, 8]], [[2, 0, -1], [0, 2, 0], [-1, 0, 32]]], 'gram': [[2, 1, 0], [1, 4, 0], [0, 0, 18]], 'hermite': {'__RealLiteral__': 0, 'data': '0.398938987059050295842896756699', 'prec': 107}, 'index': 2, 'kissing': 2, 'label': '3.126.252.3.2', 'level': 252, 'minimum': 2, 'name': '', 'shortest': [[1, 0, 0]], 'theta_series': [1, 0, 2, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, 8, 0, 4, 0, 4, 0, 12, 0, 0, 0, 12, 0, 4, 0, 0, 0, 14, 0, 16, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 12, 0, 0, 0, 22, 0, 0, 0, 8, 0, 6, 0, 4, 0, 0, 0, 16, 0, 20, 0, 0, 0, 4, 0, 0, 0, 8, 0, 20, 0, 16, 0, 0, 0, 12, 0, 24, 0, 0, 0, 8, 0, 28, 0, 16, 0, 16, 0, 8, 0, 0, 0, 2, 0, 12, 0, 0, 0, 28, 0, 28, 0, 8, 0, 16, 0, 8, 0, 0, 0, 28, 0, 16, 0, 0, 0, 4, 0, 8, 0, 2, 0, 26, 0, 24, 0, 0, 0, 20, 0, 24, 0, 0, 0, 0, 0, 4, 0, 24, 0, 36, 0, 8, 0, 0]}