W-representations carried by the wcells in Spin(8,8) x PSO(12,4) block of Spin16

wcell#0:
  cardinality : 1
  special orbit : [15, 1]
  special representation : [[], [8]]
  cell representation : phi[[],[8]]

wcell#1:
  cardinality : 1
  special orbit : [15, 1]
  special representation : [[], [8]]
  cell representation : phi[[],[8]]

wcell#2:
  cardinality : 8
  special orbit : [13, 3]
  special representation : [[1], [7]]
  cell representation : phi[[1],[7]]

wcell#3:
  cardinality : 8
  special orbit : [13, 3]
  special representation : [[1], [7]]
  cell representation : phi[[1],[7]]

wcell#4:
  cardinality : 7
  special orbit : [13, 1, 1, 1]
  special representation : [[], [7, 1]]
  cell representation : phi[[],[7, 1]]

wcell#5:
  cardinality : 28
  special orbit : [11, 5]
  special representation : [[2], [6]]
  cell representation : phi[[2],[6]]

wcell#6:
  cardinality : 7
  special orbit : [13, 1, 1, 1]
  special representation : [[], [7, 1]]
  cell representation : phi[[],[7, 1]]

wcell#7:
  cardinality : 68
  special orbit : [11, 3, 1, 1]
  special representation : [[1], [6, 1]]
  cell representation : phi[[],[6, 2]]+phi[[1],[6, 1]]

wcell#8:
  cardinality : 7
  special orbit : [13, 1, 1, 1]
  special representation : [[], [7, 1]]
  cell representation : phi[[],[7, 1]]

wcell#9:
  cardinality : 7
  special orbit : [13, 1, 1, 1]
  special representation : [[], [7, 1]]
  cell representation : phi[[],[7, 1]]

wcell#10:
  cardinality : 68
  special orbit : [11, 3, 1, 1]
  special representation : [[1], [6, 1]]
  cell representation : phi[[],[6, 2]]+phi[[1],[6, 1]]

wcell#11:
  cardinality : 68
  special orbit : [11, 3, 1, 1]
  special representation : [[1], [6, 1]]
  cell representation : phi[[],[6, 2]]+phi[[1],[6, 1]]

wcell#12:
  cardinality : 68
  special orbit : [11, 3, 1, 1]
  special representation : [[1], [6, 1]]
  cell representation : phi[[],[6, 2]]+phi[[1],[6, 1]]

wcell#13:
  cardinality : 168
  special orbit : [9, 5, 1, 1]
  special representation : [[2], [5, 1]]
  cell representation : phi[[],[5, 3]]+phi[[2],[5, 1]]

wcell#14:
  cardinality : 112
  special orbit : [9, 3, 3, 1]
  special representation : [[1], [5, 2]]
  cell representation : phi[[1],[5, 2]]

wcell#15:
  cardinality : 112
  special orbit : [9, 3, 3, 1]
  special representation : [[1], [5, 2]]
  cell representation : phi[[1],[5, 2]]

wcell#16:
  cardinality : 21
  special orbit : [11, 1, 1, 1, 1, 1]
  special representation : [[], [6, 1, 1]]
  cell representation : phi[[],[6, 1, 1]]

wcell#17:
  cardinality : 184
  special orbit : [9, 3, 1, 1, 1, 1]
  special representation : [[1], [5, 1, 1]]
  cell representation : phi[[],[5, 2, 1]]+phi[[1],[5, 1, 1]]

wcell#18:
  cardinality : 112
  special orbit : [9, 3, 3, 1]
  special representation : [[1], [5, 2]]
  cell representation : phi[[1],[5, 2]]

wcell#19:
  cardinality : 112
  special orbit : [9, 3, 3, 1]
  special representation : [[1], [5, 2]]
  cell representation : phi[[1],[5, 2]]

wcell#20:
  cardinality : 21
  special orbit : [11, 1, 1, 1, 1, 1]
  special representation : [[], [6, 1, 1]]
  cell representation : phi[[],[6, 1, 1]]

wcell#21:
  cardinality : 184
  special orbit : [9, 3, 1, 1, 1, 1]
  special representation : [[1], [5, 1, 1]]
  cell representation : phi[[],[5, 2, 1]]+phi[[1],[5, 1, 1]]

wcell#22:
  cardinality : 68
  special orbit : [11, 3, 1, 1]
  special representation : [[1], [6, 1]]
  cell representation : phi[[],[6, 2]]+phi[[1],[6, 1]]

wcell#23:
  cardinality : 140
  special orbit : [9, 3, 2, 2]
  special representation : [[1, 1], [5, 1]]
  cell representation : phi[[1, 1],[5, 1]]

wcell#24:
  cardinality : 364
  special orbit : [7, 5, 3, 1]
  special representation : [[2], [4, 2]]
  cell representation : phi[[1],[4, 3]]+phi[[2],[4, 2]]

wcell#25:
  cardinality : 280
  special orbit : [7, 3, 3, 1, 1, 1]
  special representation : [[1], [4, 2, 1]]
  cell representation : phi[[1],[4, 2, 1]]

wcell#26:
  cardinality : 280
  special orbit : [7, 3, 3, 1, 1, 1]
  special representation : [[1], [4, 2, 1]]
  cell representation : phi[[1],[4, 2, 1]]

wcell#27:
  cardinality : 184
  special orbit : [9, 3, 1, 1, 1, 1]
  special representation : [[1], [5, 1, 1]]
  cell representation : phi[[],[5, 2, 1]]+phi[[1],[5, 1, 1]]

wcell#28:
  cardinality : 336
  special orbit : [7, 3, 2, 2, 1, 1]
  special representation : [[1, 1], [4, 1, 1]]
  cell representation : phi[[],[4, 2, 2]]+phi[[1, 1],[4, 1, 1]]

wcell#29:
  cardinality : 21
  special orbit : [11, 1, 1, 1, 1, 1]
  special representation : [[], [6, 1, 1]]
  cell representation : phi[[],[6, 1, 1]]

wcell#30:
  cardinality : 21
  special orbit : [11, 1, 1, 1, 1, 1]
  special representation : [[], [6, 1, 1]]
  cell representation : phi[[],[6, 1, 1]]

wcell#31:
  cardinality : 184
  special orbit : [9, 3, 1, 1, 1, 1]
  special representation : [[1], [5, 1, 1]]
  cell representation : phi[[],[5, 2, 1]]+phi[[1],[5, 1, 1]]

wcell#32:
  cardinality : 35
  special orbit : [9, 1, 1, 1, 1, 1, 1, 1]
  special representation : [[], [5, 1, 1, 1]]
  cell representation : phi[[],[5, 1, 1, 1]]

wcell#33:
  cardinality : 35
  special orbit : [9, 1, 1, 1, 1, 1, 1, 1]
  special representation : [[], [5, 1, 1, 1]]
  cell representation : phi[[],[5, 1, 1, 1]]

wcell#34:
  cardinality : 250
  special orbit : [7, 3, 1, 1, 1, 1, 1, 1]
  special representation : [[1], [4, 1, 1, 1]]
  cell representation : phi[[],[4, 2, 1, 1]]+phi[[1],[4, 1, 1, 1]]

wcell#35:
  cardinality : 35
  special orbit : [9, 1, 1, 1, 1, 1, 1, 1]
  special representation : [[], [5, 1, 1, 1]]
  cell representation : phi[[],[5, 1, 1, 1]]

wcell#36:
  cardinality : 35
  special orbit : [7, 1, 1, 1, 1, 1, 1, 1, 1, 1]
  special representation : [[], [4, 1, 1, 1, 1]]
  cell representation : phi[[],[4, 1, 1, 1, 1]]