Lattice data - 3.244.488.6.5

Formats: - HTML - YAML - JSON - 2024-05-07T16:11:31.622490

• 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': 2, 'base_label': '3.244.488.6', 'class_number': 6, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.268159814257162939977736610828', 'prec': 107}, 'det': 244, 'dim': 3, 'genus_reps': [[[4, 1, 0], [1, 8, 1], [0, 1, 8]], [[2, -1, 1], [-1, 4, 1], [1, 1, 36]], [[4, 2, 0], [2, 8, 3], [0, 3, 10]], [[2, -1, 0], [-1, 12, 4], [0, 4, 12]], [[2, 0, 1], [0, 4, -2], [1, -2, 32]], [[4, 1, 2], [1, 6, 2], [2, 2, 12]]], 'gram': [[4, 1, 0], [1, 8, 1], [0, 1, 8]], 'hermite': {'__RealLiteral__': 0, 'data': '0.640122927207069444088144222544', 'prec': 107}, 'index': 5, 'kissing': 2, 'label': '3.244.488.6.5', 'level': 488, 'minimum': 4, 'name': '', 'shortest': [[1, 0, 0]], 'theta_series': [1, 0, 0, 0, 2, 0, 0, 0, 4, 0, 2, 0, 4, 0, 4, 0, 4, 0, 2, 0, 6, 0, 0, 0, 6, 0, 2, 0, 2, 0, 2, 0, 6, 0, 2, 0, 12, 0, 6, 0, 4, 0, 2, 0, 16, 0, 2, 0, 8, 0, 4, 0, 4, 0, 0, 0, 14, 0, 0, 0, 6, 0, 0, 0, 10, 0, 2, 0, 8, 0, 4, 0, 14, 0, 8, 0, 8, 0, 4, 0, 16, 0, 2, 0, 8, 0, 10, 0, 6, 0, 8, 0, 16, 0, 2, 0, 12, 0, 4, 0, 10, 0, 4, 0, 10, 0, 2, 0, 12, 0, 2, 0, 6, 0, 6, 0, 20, 0, 2, 0, 8, 0, 0, 0, 16, 0, 10, 0, 18, 0, 6, 0, 10, 0, 6, 0, 10, 0, 0, 0, 26, 0, 4, 0, 26, 0, 10, 0, 2, 0, 4]}