Lattice data - 3.614.1228.16.16

Formats: - HTML - YAML - JSON - 2024-05-20T21:44:18.474310

• 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': '3.614.1228.16', 'class_number': 16, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.478133768638956732756315507711', 'prec': 107}, 'det': 614, 'dim': 3, 'genus_reps': [[[8, 4, 1], [4, 10, 2], [1, 2, 10]], [[8, 3, -2], [3, 10, 2], [-2, 2, 10]], [[4, 1, -1], [1, 4, -2], [-1, -2, 42]], [[2, -1, 0], [-1, 6, -1], [0, -1, 56]], [[4, 0, 1], [0, 10, 2], [1, 2, 16]], [[4, -2, -1], [-2, 10, -2], [-1, -2, 18]], [[6, 0, 1], [0, 10, 4], [1, 4, 12]], [[4, -1, -1], [-1, 10, 0], [-1, 0, 16]], [[4, 1, 2], [1, 10, 4], [2, 4, 18]], [[4, 0, -1], [0, 6, 1], [-1, 1, 26]], [[2, -1, 0], [-1, 4, 1], [0, 1, 88]], [[2, 0, 1], [0, 2, 0], [1, 0, 154]], [[2, -1, 0], [-1, 10, -4], [0, -4, 34]], [[2, 0, -1], [0, 8, -3], [-1, -3, 40]], [[2, 0, 0], [0, 14, -1], [0, -1, 22]], [[6, -2, 3], [-2, 8, -3], [3, -3, 16]]], 'gram': [[8, 4, 1], [4, 10, 2], [1, 2, 10]], 'hermite': {'__RealLiteral__': 0, 'data': '0.941240335450383440351282007873', 'prec': 107}, 'index': 16, 'kissing': 2, 'label': '3.614.1228.16.16', 'level': 1228, 'minimum': 8, 'name': '', 'shortest': [[1, 0, 0]], 'theta_series': [1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2, 0, 2, 0, 2, 0, 4, 0, 0, 0, 2, 0, 4, 0, 0, 0, 6, 0, 2, 0, 6, 0, 6, 0, 2, 0, 6, 0, 2, 0, 0, 0, 2, 0, 6, 0, 0, 0, 8, 0, 4, 0, 0, 0, 10, 0, 6, 0, 0, 0, 2, 0, 6, 0, 6, 0, 8, 0, 2, 0, 2, 0, 2, 0, 6, 0, 0, 0, 8, 0, 6, 0, 4, 0, 10, 0, 2, 0, 4, 0, 4, 0, 4, 0, 8, 0, 14, 0, 2, 0, 2, 0, 6, 0, 6, 0, 4, 0, 6, 0, 4, 0, 4, 0, 8, 0, 8, 0, 6, 0, 4, 0, 2, 0, 10, 0, 8, 0, 2, 0, 4, 0, 6, 0, 10, 0, 4, 0, 4, 0, 2]}