W-representations carried by the wcells in SO(8,7) x Sp(4,3) block of SO15

wcell#0:
  cardinality : 1
  special orbit : [15]
  special representation : [[7], []]
  cell representation : phi[[7],[]]

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

wcell#2:
  cardinality : 35
  special orbit : [11, 3, 1]
  special representation : [[5], [2]]
  cell representation : phi[[5, 2],[]]+phi[[5],[2]]

wcell#3:
  cardinality : 49
  special orbit : [9, 5, 1]
  special representation : [[4], [3]]
  cell representation : phi[[4, 3],[]]+phi[[4],[3]]

wcell#4:
  cardinality : 35
  special orbit : [11, 2, 2]
  special representation : [[5, 1], [1]]
  cell representation : phi[[5, 1],[1]]

wcell#5:
  cardinality : 147
  special orbit : [9, 3, 3]
  special representation : [[4, 1], [2]]
  cell representation : phi[[4, 2],[1]]+phi[[4, 1],[2]]

wcell#6:
  cardinality : 35
  special orbit : [11, 2, 2]
  special representation : [[5, 1], [1]]
  cell representation : phi[[5, 1],[1]]

wcell#7:
  cardinality : 147
  special orbit : [9, 3, 3]
  special representation : [[4, 1], [2]]
  cell representation : phi[[4, 2],[1]]+phi[[4, 1],[2]]

wcell#8:
  cardinality : 140
  special orbit : [7, 5, 3]
  special representation : [[3, 1], [3]]
  cell representation : phi[[3, 3],[1]]+phi[[3, 1],[3]]

wcell#9:
  cardinality : 105
  special orbit : [7, 4, 4]
  special representation : [[3, 2], [2]]
  cell representation : phi[[3, 2],[2]]

wcell#10:
  cardinality : 154
  special orbit : [9, 2, 2, 1, 1]
  special representation : [[4, 1], [1, 1]]
  cell representation : phi[[4, 1, 1],[1]]+phi[[4, 1],[1, 1]]

wcell#11:
  cardinality : 553
  special orbit : [7, 3, 3, 1, 1]
  special representation : [[3, 1], [2, 1]]
  cell representation : phi[[3, 2, 1],[1]]+phi[[3, 1, 1],[2]]+phi[[3, 2],[1, 1]]+phi[[3, 1],[2, 1]]

wcell#12:
  cardinality : 105
  special orbit : [7, 4, 4]
  special representation : [[3, 2], [2]]
  cell representation : phi[[3, 2],[2]]

wcell#13:
  cardinality : 245
  special orbit : [5, 4, 4, 1, 1]
  special representation : [[2, 2], [2, 1]]
  cell representation : phi[[2, 2, 1],[2]]+phi[[2, 2],[2, 1]]

wcell#14:
  cardinality : 126
  special orbit : [7, 2, 2, 2, 2]
  special representation : [[3, 1, 1], [1, 1]]
  cell representation : phi[[3, 1, 1],[1, 1]]

wcell#15:
  cardinality : 315
  special orbit : [5, 3, 3, 2, 2]
  special representation : [[2, 1, 1], [2, 1]]
  cell representation : phi[[2, 2, 1],[1, 1]]+phi[[2, 1, 1],[2, 1]]

wcell#16:
  cardinality : 126
  special orbit : [7, 2, 2, 2, 2]
  special representation : [[3, 1, 1], [1, 1]]
  cell representation : phi[[3, 1, 1],[1, 1]]

wcell#17:
  cardinality : 189
  special orbit : [5, 2, 2, 2, 2, 1, 1]
  special representation : [[2, 1, 1], [1, 1, 1]]
  cell representation : phi[[2, 1, 1, 1],[1, 1]]+phi[[2, 1, 1],[1, 1, 1]]

wcell#18:
  cardinality : 35
  special orbit : [3, 2, 2, 2, 2, 2, 2]
  special representation : [[1, 1, 1, 1], [1, 1, 1]]
  cell representation : phi[[1, 1, 1, 1],[1, 1, 1]]