W-representations carried by the wcells in PSp(12,R) x Spin(9,4) 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, 4]
  special representation : [[4], [2]]
  cell representation : phi[[4, 2],[]]+phi[[4],[2]]

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

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

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

wcell#7:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

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

wcell#9:
  cardinality : 75
  special orbit : [6, 4, 2]
  special representation : [[3, 1], [2]]
  cell representation : phi[[3, 2],[1]]+phi[[3, 1],[2]]

wcell#10:
  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#11:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#12:
  cardinality : 75
  special orbit : [6, 4, 2]
  special representation : [[3, 1], [2]]
  cell representation : phi[[3, 2],[1]]+phi[[3, 1],[2]]

wcell#13:
  cardinality : 25
  special orbit : [8, 2, 1, 1]
  special representation : [[4], [1, 1]]
  cell representation : phi[[4, 1, 1],[]]+phi[[4],[1, 1]]

wcell#14:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#15:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#16:
  cardinality : 25
  special orbit : [8, 2, 1, 1]
  special representation : [[4], [1, 1]]
  cell representation : phi[[4, 1, 1],[]]+phi[[4],[1, 1]]

wcell#17:
  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#18:
  cardinality : 56
  special orbit : [6, 4, 1, 1]
  special representation : [[3], [2, 1]]
  cell representation : phi[[3, 2, 1],[]]+phi[[3],[2, 1]]

wcell#19:
  cardinality : 56
  special orbit : [6, 4, 1, 1]
  special representation : [[3], [2, 1]]
  cell representation : phi[[3, 2, 1],[]]+phi[[3],[2, 1]]

wcell#20:
  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#21:
  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#22:
  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#23:
  cardinality : 30
  special orbit : [4, 4, 4]
  special representation : [[2, 2], [2]]
  cell representation : phi[[2, 2],[2]]

wcell#24:
  cardinality : 45
  special orbit : [4, 2, 2, 2, 2]
  special representation : [[2, 1, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1, 1]]

wcell#25:
  cardinality : 145
  special orbit : [4, 4, 2, 2]
  special representation : [[2, 1], [2, 1]]
  cell representation : phi[[2, 2, 2],[]]+phi[[2, 2, 1],[1]]+phi[[2, 1],[2, 1]]+phi[[2],[2, 2]]

wcell#26:
  cardinality : 30
  special orbit : [6, 2, 1, 1, 1, 1]
  special representation : [[3], [1, 1, 1]]
  cell representation : phi[[3, 1, 1, 1],[]]+phi[[3],[1, 1, 1]]

wcell#27:
  cardinality : 45
  special orbit : [4, 2, 2, 2, 2]
  special representation : [[2, 1, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1, 1]]

wcell#28:
  cardinality : 45
  special orbit : [4, 2, 2, 2, 2]
  special representation : [[2, 1, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1, 1]]

wcell#29:
  cardinality : 64
  special orbit : [4, 2, 2, 2, 1, 1]
  special representation : [[2, 1], [1, 1, 1]]
  cell representation : phi[[2, 1, 1, 1],[1]]+phi[[2, 1],[1, 1, 1]]

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

wcell#31:
  cardinality : 30
  special orbit : [6, 2, 1, 1, 1, 1]
  special representation : [[3], [1, 1, 1]]
  cell representation : phi[[3, 1, 1, 1],[]]+phi[[3],[1, 1, 1]]

wcell#32:
  cardinality : 20
  special orbit : [4, 2, 1, 1, 1, 1, 1, 1]
  special representation : [[2], [1, 1, 1, 1]]
  cell representation : phi[[2, 1, 1, 1, 1],[]]+phi[[2],[1, 1, 1, 1]]

wcell#33:
  cardinality : 20
  special orbit : [4, 2, 1, 1, 1, 1, 1, 1]
  special representation : [[2], [1, 1, 1, 1]]
  cell representation : phi[[2, 1, 1, 1, 1],[]]+phi[[2],[1, 1, 1, 1]]