Lattice data - 3.412.824.12.12

Formats: - HTML - YAML - JSON - 2024-04-27T21:02:54.646842

• 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': '3.412.824.12', 'class_number': 12, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.583693685123204920936501247995', 'prec': 107}, 'det': 412, 'dim': 3, 'genus_reps': [[[8, 3, 2], [3, 8, 1], [2, 1, 8]], [[2, -1, -1], [-1, 4, 2], [-1, 2, 60]], [[4, 0, 1], [0, 4, 0], [1, 0, 26]], [[4, 0, -2], [0, 8, 1], [-2, 1, 14]], [[2, 1, 0], [1, 8, 2], [0, 2, 28]], [[2, -1, 0], [-1, 12, 1], [0, 1, 18]], [[4, -1, 2], [-1, 6, 2], [2, 2, 20]], [[4, 0, 0], [0, 8, -3], [0, -3, 14]], [[2, 1, 1], [1, 8, 1], [1, 1, 28]], [[2, 0, 1], [0, 2, -1], [1, -1, 104]], [[4, -2, 0], [-2, 8, 3], [0, 3, 16]], [[2, 0, 1], [0, 4, 0], [1, 0, 52]]], 'gram': [[8, 3, 2], [3, 8, 1], [2, 1, 8]], 'hermite': {'__RealLiteral__': 0, 'data': '1.07512158613286143022520345691', 'prec': 103}, 'index': 12, 'kissing': 6, 'label': '3.412.824.12.12', 'level': 824, 'minimum': 8, 'name': '', 'shortest': [[1, 0, 0], [0, 1, 0], [0, 0, 1]], 'theta_series': [1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 4, 0, 2, 0, 2, 0, 0, 0, 4, 0, 2, 0, 10, 0, 0, 0, 10, 0, 2, 0, 2, 0, 4, 0, 6, 0, 2, 0, 8, 0, 2, 0, 8, 0, 0, 0, 2, 0, 0, 0, 6, 0, 4, 0, 4, 0, 2, 0, 16, 0, 2, 0, 12, 0, 8, 0, 4, 0, 2, 0, 10, 0, 2, 0, 6, 0, 4, 0, 4, 0, 4, 0, 12, 0, 2, 0, 6, 0, 6, 0, 10, 0, 2, 0, 8, 0, 2, 0, 6, 0, 4, 0, 10, 0, 2, 0, 14, 0, 2, 0, 12, 0, 0, 0, 6, 0, 6, 0, 26, 0, 2, 0, 8, 0, 8, 0, 2, 0, 0, 0, 16, 0, 2, 0, 18, 0, 6, 0, 6, 0, 6]}