W-representations carried by the wcells in PSp(8,R) x Spin(6,3) block of PSp8

wcell#0:
  cardinality : 1
  special orbit : [8]
  special representation : [[4], []]
  cell representation : phi[[4],[]]

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

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

wcell#3:
  cardinality : 8
  special orbit : [4, 2, 2]
  special representation : [[2, 1], [1]]
  cell representation : phi[[2, 1],[1]]

wcell#4:
  cardinality : 10
  special orbit : [4, 4]
  special representation : [[2], [2]]
  cell representation : phi[[2],[2]]+phi[[1],[3]]

wcell#5:
  cardinality : 8
  special orbit : [4, 2, 2]
  special representation : [[2, 1], [1]]
  cell representation : phi[[2, 1],[1]]

wcell#6:
  cardinality : 8
  special orbit : [4, 2, 2]
  special representation : [[2, 1], [1]]
  cell representation : phi[[2, 1],[1]]

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

wcell#8:
  cardinality : 6
  special orbit : [3, 3, 2]
  special representation : [[1, 1], [2]]
  cell representation : phi[[1, 1],[2]]

wcell#9:
  cardinality : 6
  special orbit : [3, 3, 2]
  special representation : [[1, 1], [2]]
  cell representation : phi[[1, 1],[2]]

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

wcell#11:
  cardinality : 9
  special orbit : [4, 2, 1, 1]
  special representation : [[2], [1, 1]]
  cell representation : phi[[2],[1, 1]]+phi[[],[3, 1]]

wcell#12:
  cardinality : 7
  special orbit : [2, 2, 1, 1, 1, 1]
  special representation : [[1], [1, 1, 1]]
  cell representation : phi[[1],[1, 1, 1]]+phi[[],[2, 1, 1]]