Lattice data - 3.124.248.5.4

Formats: - HTML - YAML - JSON - 2024-05-02T02:18:46.353310

• 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': '3.124.248.5', 'class_number': 5, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.376164464928728020062578151314', 'prec': 107}, 'det': 124, 'dim': 3, 'genus_reps': [[[4, 0, 1], [0, 4, 0], [1, 0, 8]], [[4, -2, 2], [-2, 6, -3], [2, -3, 8]], [[2, -1, 0], [-1, 4, 1], [0, 1, 18]], [[2, 0, 1], [0, 2, -1], [1, -1, 32]], [[2, 0, -1], [0, 4, 0], [-1, 0, 16]]], 'gram': [[4, 0, 1], [0, 4, 0], [1, 0, 8]], 'hermite': {'__RealLiteral__': 0, 'data': '0.802144782381435662168745852211', 'prec': 107}, 'index': 4, 'kissing': 4, 'label': '3.124.248.5.4', 'level': 248, 'minimum': 4, 'name': '', 'shortest': [[1, 0, 0], [0, 1, 0]], 'theta_series': [1, 0, 0, 0, 4, 0, 0, 0, 6, 0, 2, 0, 4, 0, 6, 0, 4, 0, 4, 0, 10, 0, 0, 0, 8, 0, 4, 0, 2, 0, 4, 0, 12, 0, 0, 0, 16, 0, 2, 0, 12, 0, 4, 0, 16, 0, 4, 0, 8, 0, 6, 0, 8, 0, 8, 0, 16, 0, 0, 0, 8, 0, 0, 0, 10, 0, 4, 0, 20, 0, 2, 0, 18, 0, 12, 0, 14, 0, 4, 0, 22, 0, 2, 0, 16, 0, 12, 0, 4, 0, 2, 0, 16, 0, 4, 0, 20, 0, 6, 0, 18, 0, 8, 0, 20, 0, 8, 0, 8, 0, 4, 0, 10, 0, 12, 0, 36, 0, 6, 0, 12, 0, 4, 0, 2, 0, 6, 0, 32, 0, 4, 0, 16, 0, 12, 0, 16, 0, 4, 0, 22, 0, 6, 0, 36, 0, 8, 0, 20, 0, 4]}