Lattice data - 3.316.632.9.6

Formats: - HTML - YAML - JSON - 2024-05-04T08:21:36.261299

• 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': 4, 'base_label': '3.316.632.9', 'class_number': 9, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.235637858946130522221857724033', 'prec': 107}, 'det': 316, 'dim': 3, 'genus_reps': [[[4, 2, 0], [2, 6, 1], [0, 1, 16]], [[4, 1, -2], [1, 8, 2], [-2, 2, 12]], [[4, 0, -2], [0, 8, 3], [-2, 3, 12]], [[4, 0, -1], [0, 4, 0], [-1, 0, 20]], [[4, 0, 0], [0, 8, 1], [0, 1, 10]], [[4, -1, 1], [-1, 6, 0], [1, 0, 14]], [[2, 1, 1], [1, 12, 5], [1, 5, 16]], [[2, 0, -1], [0, 2, -1], [-1, -1, 80]], [[2, 0, 1], [0, 4, 0], [1, 0, 40]]], 'gram': [[4, 2, 0], [2, 6, 1], [0, 1, 16]], 'hermite': {'__RealLiteral__': 0, 'data': '0.587260734265090842521002983300', 'prec': 107}, 'index': 6, 'kissing': 2, 'label': '3.316.632.9.6', 'level': 632, 'minimum': 4, 'name': '', 'shortest': [[1, 0, 0]], 'theta_series': [1, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 10, 0, 0, 0, 8, 0, 0, 0, 4, 0, 4, 0, 10, 0, 0, 0, 10, 0, 0, 0, 2, 0, 0, 0, 8, 0, 4, 0, 8, 0, 0, 0, 4, 0, 8, 0, 12, 0, 0, 0, 0, 0, 0, 0, 8, 0, 4, 0, 16, 0, 4, 0, 4, 0, 8, 0, 10, 0, 0, 0, 18, 0, 4, 0, 8, 0, 4, 0, 2, 0, 4, 0, 14, 0, 4, 0, 12, 0, 8, 0, 10, 0, 0, 0, 18, 0, 4, 0, 8, 0, 0, 0, 4, 0, 4, 0, 12, 0, 0, 0, 8, 0, 12, 0, 4, 0, 12, 0, 10, 0, 4, 0, 12, 0, 4, 0, 4, 0, 0, 0, 20, 0, 0, 0, 20, 0, 12, 0, 8, 0, 4]}