Lattice data - 3.178.356.7.4

Formats: - HTML - YAML - JSON - 2024-04-30T01:31:23.509460

• 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': '3.178.356.7', 'class_number': 7, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.111002718421624522836134545990', 'prec': 107}, 'det': 178, 'dim': 3, 'genus_reps': [[[2, 1, 0], [1, 8, 1], [0, 1, 12]], [[2, 1, 1], [1, 8, 4], [1, 4, 14]], [[2, 1, -1], [1, 10, -5], [-1, -5, 12]], [[2, 0, -1], [0, 6, -2], [-1, -2, 16]], [[2, -1, -1], [-1, 2, 1], [-1, 1, 60]], [[4, 1, -1], [1, 6, 0], [-1, 0, 8]], [[2, 1, 1], [1, 4, 1], [1, 1, 26]]], 'gram': [[2, 1, 0], [1, 8, 1], [0, 1, 12]], 'hermite': {'__RealLiteral__': 0, 'data': '0.355541249944611279968476561902', 'prec': 107}, 'index': 4, 'kissing': 2, 'label': '3.178.356.7.4', 'level': 356, 'minimum': 2, 'name': '', 'shortest': [[1, 0, 0]], 'theta_series': [1, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 4, 0, 0, 0, 6, 0, 8, 0, 8, 0, 0, 0, 4, 0, 0, 0, 10, 0, 10, 0, 4, 0, 0, 0, 6, 0, 4, 0, 4, 0, 4, 0, 10, 0, 14, 0, 6, 0, 4, 0, 4, 0, 12, 0, 4, 0, 4, 0, 12, 0, 12, 0, 4, 0, 8, 0, 6, 0, 14, 0, 4, 0, 4, 0, 16, 0, 12, 0, 4, 0, 8, 0, 10, 0, 12, 0, 4, 0, 12, 0, 4, 0, 4, 0, 14, 0, 4, 0, 12, 0, 8, 0, 4, 0, 10, 0, 20, 0, 4, 0, 8, 0, 8, 0, 8, 0, 18, 0, 12, 0, 2, 0, 18, 0, 26, 0, 4, 0, 8, 0, 20, 0, 12, 0, 4, 0, 14, 0, 12, 0, 16, 0, 12, 0, 4, 0, 6]}