W-representations carried by the wcells in PSp(12,R) x Spin(10,3) block of PSp12

wcell#0:
  cardinality : 1
  special orbit : [12]
  special representation : [[6], []]
  cell representation : phi[[6],[]]

wcell#1:
  cardinality : 11
  special orbit : [10, 2]
  special representation : [[5], [1]]
  cell representation : phi[[5, 1],[]]+phi[[5],[1]]

wcell#2:
  cardinality : 11
  special orbit : [10, 2]
  special representation : [[5], [1]]
  cell representation : phi[[5, 1],[]]+phi[[5],[1]]

wcell#3:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#4:
  cardinality : 21
  special orbit : [8, 4]
  special representation : [[4], [2]]
  cell representation : phi[[4],[2]]+phi[[1],[5]]

wcell#5:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#6:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#7:
  cardinality : 25
  special orbit : [8, 2, 1, 1]
  special representation : [[4], [1, 1]]
  cell representation : phi[[4, 1, 1],[]]+phi[[4],[1, 1]]

wcell#8:
  cardinality : 60
  special orbit : [6, 4, 2]
  special representation : [[3, 1], [2]]
  cell representation : phi[[3, 1],[2]]+phi[[1, 1],[4]]

wcell#9:
  cardinality : 81
  special orbit : [6, 2, 2, 2]
  special representation : [[3, 1], [1, 1]]
  cell representation : phi[[3, 1, 1],[1]]+phi[[3, 1],[1, 1]]

wcell#10:
  cardinality : 20
  special orbit : [8, 2, 1, 1]
  special representation : [[4], [1, 1]]
  cell representation : phi[[4],[1, 1]]+phi[[],[5, 1]]

wcell#11:
  cardinality : 30
  special orbit : [6, 2, 1, 1, 1, 1]
  special representation : [[3], [1, 1, 1]]
  cell representation : phi[[3],[1, 1, 1]]+phi[[],[4, 1, 1]]