Lattice data - 8.1024.4.1.2

Formats: - HTML - YAML - JSON - 2024-05-31T15:13:59.507503

• 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': 184320, 'base_label': '8.1024.4.1', 'class_number': 1, 'comments': '', 'density': {'__RealLiteral__': 0, 'data': '0.00792717212190775042614260519925', 'prec': 113}, 'det': 1024, 'dim': 8, 'genus_reps': [[[2, -1, 1, 0, 0, 0, 0, 0], [-1, 2, -1, 0, 0, -1, 1, -1], [1, -1, 2, 0, 0, 1, -1, 1], [0, 0, 0, 4, 0, 2, -2, 2], [0, 0, 0, 0, 4, 2, -2, 2], [0, -1, 1, 2, 2, 6, -4, 4], [0, 1, -1, -2, -2, -4, 6, -2], [0, -1, 1, 2, 2, 4, -2, 6]]], 'gram': [[2, 1, -1, 0, 0, -1, 1, -1], [1, 2, -1, 0, 0, -1, 1, -1], [-1, -1, 2, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 2, -2, 2], [0, 0, 0, 0, 4, 2, -2, 2], [-1, -1, 0, 2, 2, 6, -4, 4], [1, 1, 0, -2, -2, -4, 6, -2], [-1, -1, 0, 2, 2, 4, -2, 6]], 'hermite': {'__RealLiteral__': 0, 'data': '0.840896415253714543031125476233', 'prec': 107}, 'index': 2, 'kissing': 12, 'label': '8.1024.4.1.2', 'level': 4, 'minimum': 2, 'name': '', 'shortest': [[1, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0]], 'theta_series': [1, 0, 12, 0, 16, 0, 336, 0, 368, 0, 1512, 0, 448, 0, 4128, 0, 3184, 0, 9084, 0, 2016, 0, 15984, 0, 10304, 0, 26376, 0, 5504, 0, 42336, 0, 25712, 0, 58968, 0, 12112, 0, 82320, 0, 46368, 0, 115584, 0, 21312, 0, 146016, 0, 89152, 0, 189012, 0, 35168, 0, 245280, 0, 126592, 0, 292680, 0, 56448, 0, 357504, 0, 205936, 0, 447552, 0, 78624, 0, 520128, 0, 278576, 0, 607848, 0, 109760, 0, 738528, 0, 401184, 0, 827064, 0, 154112, 0, 954096, 0, 490176, 0, 1144584, 0, 194688, 0, 1245888, 0, 719936, 0, 1415916, 0, 252016, 0, 1651104, 0, 808864, 0, 1786536, 0, 327040, 0, 2013984, 0, 1095296, 0, 2304960, 0, 390240, 0, 2464560, 0, 1298304, 0, 2723784, 0, 476672, 0, 3124896, 0, 1647728, 0, 3323376, 0, 596736, 0, 3609168, 0, 1808352, 0, 4088448, 0, 693504, 0, 4294944, 0, 2410288, 0, 4668216, 0, 810464, 0, 5292336]}