Lattice data - 3.1658.3316.40.25

Formats: - HTML - YAML - JSON - 2024-06-03T02:58:08.766257

• 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': '3.1658.3316.40', 'class_number': 40, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.188987567334675481884372006802', 'prec': 107}, 'det': 1658, 'dim': 3, 'genus_reps': [[[6, 0, 2], [0, 16, 1], [2, 1, 18]], [[2, 1, 1], [1, 22, -4], [1, -4, 40]], [[4, -1, -1], [-1, 16, 5], [-1, 5, 28]], [[10, 4, -1], [4, 14, -6], [-1, -6, 16]], [[8, 1, 2], [1, 12, 1], [2, 1, 18]], [[2, -1, -1], [-1, 4, -1], [-1, -1, 238]], [[4, 0, -1], [0, 22, -8], [-1, -8, 22]], [[6, 1, -2], [1, 8, -1], [-2, -1, 36]], [[10, 0, -1], [0, 12, -5], [-1, -5, 16]], [[2, 1, -1], [1, 10, -2], [-1, -2, 88]], [[8, 1, -3], [1, 16, 5], [-3, 5, 16]], [[10, 5, 4], [5, 12, 5], [4, 5, 20]], [[2, 0, -1], [0, 20, -9], [-1, -9, 46]], [[8, -3, -2], [-3, 14, 5], [-2, 5, 18]], [[4, 1, -2], [1, 16, 6], [-2, 6, 30]], [[4, -1, 2], [-1, 22, -7], [2, -7, 22]], [[10, 0, -1], [0, 12, 1], [-1, 1, 14]], [[8, -2, 1], [-2, 10, -1], [1, -1, 22]], [[4, 1, 2], [1, 12, 5], [2, 5, 38]], [[8, -1, 2], [-1, 10, 2], [2, 2, 22]], [[6, 3, -2], [3, 16, 1], [-2, 1, 20]], [[10, -3, -3], [-3, 12, -4], [-3, -4, 18]], [[2, 0, -1], [0, 14, -2], [-1, -2, 60]], [[6, -2, 0], [-2, 6, -1], [0, -1, 52]], [[8, 1, -4], [1, 12, 5], [-4, 5, 22]], [[2, 1, -1], [1, 16, 0], [-1, 0, 54]], [[6, 2, 2], [2, 18, -9], [2, -9, 22]], [[4, 1, 2], [1, 20, 1], [2, 1, 22]], [[4, 0, -1], [0, 18, 7], [-1, 7, 26]], [[4, -1, 0], [-1, 8, -2], [0, -2, 54]], [[6, -1, 2], [-1, 14, 4], [2, 4, 22]], [[2, -1, 0], [-1, 24, 8], [0, 8, 38]], [[4, 0, 1], [0, 6, 2], [1, 2, 70]], [[8, 0, 3], [0, 14, -1], [3, -1, 16]], [[10, -3, 5], [-3, 12, -4], [5, -4, 18]], [[6, 0, -1], [0, 16, -3], [-1, -3, 18]], [[2, -1, -1], [-1, 18, -1], [-1, -1, 48]], [[2, -1, -1], [-1, 18, -8], [-1, -8, 52]], [[2, 0, -1], [0, 4, 1], [-1, 1, 208]], [[2, 0, -1], [0, 20, 1], [-1, 1, 42]]], 'gram': [[6, 0, 2], [0, 16, 1], [2, 1, 18]], 'hermite': {'__RealLiteral__': 0, 'data': '0.506939822360973869423318995323', 'prec': 107}, 'index': 25, 'kissing': 2, 'label': '3.1658.3316.40.25', 'level': 3316, 'minimum': 6, 'name': '', 'shortest': [[1, 0, 0]], 'theta_series': [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 4, 0, 2, 0, 2, 0, 4, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 2, 0, 10, 0, 2, 0, 2, 0, 0, 0, 4, 0, 4, 0, 2, 0, 4, 0, 4, 0, 8, 0, 2, 0, 4, 0, 2, 0, 4, 0, 6, 0, 2, 0, 6, 0, 0, 0, 2, 0, 0, 0, 2, 0, 8, 0, 2, 0, 2, 0, 6, 0, 2, 0, 2, 0, 2, 0, 2, 0, 4, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 6, 0, 8]}