W-representations carried by the wcells in PSp(10,R) x Spin(7,4) block of PSp10

wcell#0:
  cardinality : 1
  special orbit : [10]
  special representation : [[5], []]
  cell representation : phi[[5],[]]

wcell#1:
  cardinality : 9
  special orbit : [8, 2]
  special representation : [[4], [1]]
  cell representation : phi[[4, 1],[]]+phi[[4],[1]]

wcell#2:
  cardinality : 9
  special orbit : [8, 2]
  special representation : [[4], [1]]
  cell representation : phi[[4, 1],[]]+phi[[4],[1]]

wcell#3:
  cardinality : 15
  special orbit : [6, 4]
  special representation : [[3], [2]]
  cell representation : phi[[3, 2],[]]+phi[[3],[2]]

wcell#4:
  cardinality : 15
  special orbit : [6, 4]
  special representation : [[3], [2]]
  cell representation : phi[[3, 2],[]]+phi[[3],[2]]

wcell#5:
  cardinality : 15
  special orbit : [6, 4]
  special representation : [[3], [2]]
  cell representation : phi[[3, 2],[]]+phi[[3],[2]]

wcell#6:
  cardinality : 15
  special orbit : [6, 2, 2]
  special representation : [[3, 1], [1]]
  cell representation : phi[[3, 1],[1]]

wcell#7:
  cardinality : 15
  special orbit : [6, 2, 2]
  special representation : [[3, 1], [1]]
  cell representation : phi[[3, 1],[1]]

wcell#8:
  cardinality : 15
  special orbit : [6, 2, 2]
  special representation : [[3, 1], [1]]
  cell representation : phi[[3, 1],[1]]

wcell#9:
  cardinality : 30
  special orbit : [4, 4, 2]
  special representation : [[2, 1], [2]]
  cell representation : phi[[2, 2],[1]]+phi[[2, 1],[2]]

wcell#10:
  cardinality : 35
  special orbit : [4, 2, 2, 2]
  special representation : [[2, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1]]+phi[[2, 1],[1, 1]]

wcell#11:
  cardinality : 15
  special orbit : [6, 2, 2]
  special representation : [[3, 1], [1]]
  cell representation : phi[[3, 1],[1]]

wcell#12:
  cardinality : 30
  special orbit : [4, 4, 2]
  special representation : [[2, 1], [2]]
  cell representation : phi[[2, 2],[1]]+phi[[2, 1],[2]]

wcell#13:
  cardinality : 16
  special orbit : [6, 2, 1, 1]
  special representation : [[3], [1, 1]]
  cell representation : phi[[3, 1, 1],[]]+phi[[3],[1, 1]]

wcell#14:
  cardinality : 15
  special orbit : [6, 2, 2]
  special representation : [[3, 1], [1]]
  cell representation : phi[[3, 1],[1]]

wcell#15:
  cardinality : 15
  special orbit : [6, 2, 2]
  special representation : [[3, 1], [1]]
  cell representation : phi[[3, 1],[1]]

wcell#16:
  cardinality : 16
  special orbit : [6, 2, 1, 1]
  special representation : [[3], [1, 1]]
  cell representation : phi[[3, 1, 1],[]]+phi[[3],[1, 1]]

wcell#17:
  cardinality : 35
  special orbit : [4, 2, 2, 2]
  special representation : [[2, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1]]+phi[[2, 1],[1, 1]]

wcell#18:
  cardinality : 25
  special orbit : [4, 4, 1, 1]
  special representation : [[2], [2, 1]]
  cell representation : phi[[2, 2, 1],[]]+phi[[2],[2, 1]]

wcell#19:
  cardinality : 25
  special orbit : [4, 4, 1, 1]
  special representation : [[2], [2, 1]]
  cell representation : phi[[2, 2, 1],[]]+phi[[2],[2, 1]]

wcell#20:
  cardinality : 35
  special orbit : [4, 2, 2, 2]
  special representation : [[2, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1]]+phi[[2, 1],[1, 1]]

wcell#21:
  cardinality : 35
  special orbit : [4, 2, 2, 2]
  special representation : [[2, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1]]+phi[[2, 1],[1, 1]]

wcell#22:
  cardinality : 35
  special orbit : [4, 2, 2, 2]
  special representation : [[2, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1]]+phi[[2, 1],[1, 1]]

wcell#23:
  cardinality : 10
  special orbit : [2, 2, 2, 2, 2]
  special representation : [[1, 1, 1], [1, 1]]
  cell representation : phi[[1, 1, 1],[1, 1]]

wcell#24:
  cardinality : 30
  special orbit : [3, 3, 2, 2]
  special representation : [[1, 1], [2, 1]]
  cell representation : phi[[1, 1],[2, 1]]+phi[[1],[2, 2]]

wcell#25:
  cardinality : 14
  special orbit : [4, 2, 1, 1, 1, 1]
  special representation : [[2], [1, 1, 1]]
  cell representation : phi[[2, 1, 1, 1],[]]+phi[[2],[1, 1, 1]]

wcell#26:
  cardinality : 10
  special orbit : [2, 2, 2, 2, 2]
  special representation : [[1, 1, 1], [1, 1]]
  cell representation : phi[[1, 1, 1],[1, 1]]

wcell#27:
  cardinality : 10
  special orbit : [2, 2, 2, 2, 2]
  special representation : [[1, 1, 1], [1, 1]]
  cell representation : phi[[1, 1, 1],[1, 1]]

wcell#28:
  cardinality : 15
  special orbit : [2, 2, 2, 2, 1, 1]
  special representation : [[1, 1], [1, 1, 1]]
  cell representation : phi[[1, 1, 1, 1],[1]]+phi[[1, 1],[1, 1, 1]]

wcell#29:
  cardinality : 14
  special orbit : [4, 2, 1, 1, 1, 1]
  special representation : [[2], [1, 1, 1]]
  cell representation : phi[[2, 1, 1, 1],[]]+phi[[2],[1, 1, 1]]

wcell#30:
  cardinality : 14
  special orbit : [4, 2, 1, 1, 1, 1]
  special representation : [[2], [1, 1, 1]]
  cell representation : phi[[2, 1, 1, 1],[]]+phi[[2],[1, 1, 1]]

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

wcell#32:
  cardinality : 6
  special orbit : [2, 2, 1, 1, 1, 1, 1, 1]
  special representation : [[1], [1, 1, 1, 1]]
  cell representation : phi[[1, 1, 1, 1, 1],[]]+phi[[1],[1, 1, 1, 1]]