Lattice data - 3.212.424.5.2

Formats: - HTML - YAML - JSON - 2024-05-14T19:12:58.053450

• 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': '3.212.424.5', 'class_number': 5, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.101712817657240274853723334399', 'prec': 107}, 'det': 212, 'dim': 3, 'genus_reps': [[[2, 0, 1], [0, 10, 3], [1, 3, 12]], [[4, 1, 1], [1, 6, 2], [1, 2, 10]], [[4, 0, 1], [0, 8, 3], [1, 3, 8]], [[4, 2, 0], [2, 4, -1], [0, -1, 18]], [[2, 0, -1], [0, 4, -2], [-1, -2, 28]]], 'gram': [[2, 0, 1], [0, 10, 3], [1, 3, 12]], 'hermite': {'__RealLiteral__': 0, 'data': '0.335416720753753900177564764421', 'prec': 107}, 'index': 2, 'kissing': 2, 'label': '3.212.424.5.2', 'level': 424, 'minimum': 2, 'name': '', 'shortest': [[1, 0, 0]], 'theta_series': [1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 8, 0, 0, 0, 8, 0, 6, 0, 4, 0, 0, 0, 4, 0, 0, 0, 12, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 14, 0, 8, 0, 6, 0, 6, 0, 8, 0, 2, 0, 16, 0, 4, 0, 4, 0, 4, 0, 4, 0, 6, 0, 16, 0, 0, 0, 10, 0, 8, 0, 10, 0, 0, 0, 16, 0, 4, 0, 8, 0, 4, 0, 4, 0, 4, 0, 12, 0, 6, 0, 4, 0, 8, 0, 16, 0, 6, 0, 18, 0, 4, 0, 8, 0, 0, 0, 28, 0, 2, 0, 20, 0, 0, 0, 8, 0, 16, 0, 12, 0, 4, 0, 20, 0, 0, 0, 14, 0, 0, 0, 16, 0, 4, 0, 8, 0, 8, 0, 16, 0, 8, 0, 24, 0, 0, 0, 12, 0, 4]}