Lattice data - 3.1942.3884.56.39

Formats: - HTML - YAML - JSON - 2024-05-19T03:33:59.539763

• 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': '3.1942.3884.56', 'class_number': 56, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.174622774845126712628966612466', 'prec': 107}, 'det': 1942, 'dim': 3, 'genus_reps': [[[6, 1, 3], [1, 18, 3], [3, 3, 20]], [[2, 1, 1], [1, 20, 9], [1, 9, 54]], [[12, -3, 5], [-3, 14, -6], [5, -6, 16]], [[10, -5, -3], [-5, 12, -1], [-3, -1, 22]], [[2, 1, 0], [1, 20, -2], [0, -2, 50]], [[2, 0, 1], [0, 10, 2], [1, 2, 98]], [[12, -3, -1], [-3, 14, 5], [-1, 5, 14]], [[2, 0, 0], [0, 30, -13], [0, -13, 38]], [[2, 1, 0], [1, 14, 1], [0, 1, 72]], [[8, -1, 3], [-1, 12, 5], [3, 5, 24]], [[8, 1, -1], [1, 12, 4], [-1, 4, 22]], [[4, 0, -1], [0, 22, -9], [-1, -9, 26]], [[10, 3, -3], [3, 14, 1], [-3, 1, 16]], [[2, 1, 0], [1, 24, -4], [0, -4, 42]], [[2, 0, 0], [0, 10, 3], [0, 3, 98]], [[2, 1, -1], [1, 12, -4], [-1, -4, 86]], [[8, 2, 3], [2, 14, 7], [3, 7, 22]], [[8, 1, -3], [1, 14, 4], [-3, 4, 20]], [[2, -1, -1], [-1, 10, 4], [-1, 4, 104]], [[2, 0, 0], [0, 30, -7], [0, -7, 34]], [[2, 0, 0], [0, 26, -11], [0, -11, 42]], [[2, -1, 1], [-1, 2, -1], [1, -1, 648]], [[2, 0, -1], [0, 8, 1], [-1, 1, 122]], [[2, 1, 0], [1, 26, -10], [0, -10, 42]], [[8, 3, 0], [3, 16, -5], [0, -5, 18]], [[2, 0, -1], [0, 24, -11], [-1, -11, 46]], [[6, 1, 2], [1, 8, 0], [2, 0, 42]], [[8, 3, 1], [3, 14, 4], [1, 4, 20]], [[8, -3, 3], [-3, 16, -4], [3, -4, 18]], [[8, -4, 1], [-4, 10, -4], [1, -4, 32]], [[4, -2, 1], [-2, 18, 4], [1, 4, 30]], [[6, 2, -1], [2, 16, 3], [-1, 3, 22]], [[8, -1, 3], [-1, 8, -1], [3, -1, 32]], [[4, 1, -1], [1, 12, 2], [-1, 2, 42]], [[2, 0, 0], [0, 14, 3], [0, 3, 70]], [[4, 1, -1], [1, 6, -3], [-1, -3, 86]], [[2, 0, 0], [0, 6, 1], [0, 1, 162]], [[8, 1, -2], [1, 14, 0], [-2, 0, 18]], [[6, -3, 1], [-3, 8, -1], [1, -1, 50]], [[2, -1, 0], [-1, 32, 10], [0, 10, 34]], [[2, 1, -1], [1, 18, 0], [-1, 0, 56]], [[2, 1, 0], [1, 26, -7], [0, -7, 40]], [[2, 0, -1], [0, 26, -2], [-1, -2, 38]], [[2, 0, 1], [0, 24, -5], [1, -5, 42]], [[2, 0, 1], [0, 18, -8], [1, -8, 58]], [[8, -3, 1], [-3, 18, -10], [1, -10, 20]], [[8, -2, 1], [-2, 10, -2], [1, -2, 26]], [[2, 1, -1], [1, 8, 0], [-1, 0, 130]], [[2, -1, -1], [-1, 4, 0], [-1, 0, 278]], [[6, 1, 0], [1, 14, -6], [0, -6, 26]], [[8, 0, -1], [0, 10, 4], [-1, 4, 26]], [[2, 0, 0], [0, 18, 1], [0, 1, 54]], [[2, 1, 0], [1, 18, -3], [0, -3, 56]], [[2, 1, -1], [1, 32, -15], [-1, -15, 38]], [[2, 1, 0], [1, 8, 2], [0, 2, 130]], [[2, 0, 0], [0, 2, -1], [0, -1, 486]]], 'gram': [[6, 1, 3], [1, 18, 3], [3, 3, 20]], 'hermite': {'__RealLiteral__': 0, 'data': '0.480914836142679965279936891545', 'prec': 107}, 'index': 39, 'kissing': 2, 'label': '3.1942.3884.56.39', 'level': 3884, '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, 0, 0, 2, 0, 4, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 2, 0, 0, 0, 4, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 4, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 2, 0, 6, 0, 4, 0, 4, 0, 2, 0, 4, 0, 2, 0, 4, 0, 0, 0, 2, 0, 6, 0, 4, 0, 4, 0, 4, 0, 4, 0, 6, 0, 4, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 2, 0, 10, 0, 4, 0, 0, 0, 0, 0, 2, 0, 2, 0, 6, 0, 4, 0, 2, 0, 0, 0, 2, 0, 4]}