W-representations carried by the wcells in PSp(16,R) x Spin(13,4) block of PSp16

wcell#0:
  cardinality : 1
  special orbit : [16]
  special representation : [[8], []]
  cell representation : phi[[8],[]]

wcell#1:
  cardinality : 15
  special orbit : [14, 2]
  special representation : [[7], [1]]
  cell representation : phi[[7, 1],[]]+phi[[7],[1]]

wcell#2:
  cardinality : 15
  special orbit : [14, 2]
  special representation : [[7], [1]]
  cell representation : phi[[7, 1],[]]+phi[[7],[1]]

wcell#3:
  cardinality : 48
  special orbit : [12, 4]
  special representation : [[6], [2]]
  cell representation : phi[[6, 2],[]]+phi[[6],[2]]

wcell#4:
  cardinality : 48
  special orbit : [12, 4]
  special representation : [[6], [2]]
  cell representation : phi[[6, 2],[]]+phi[[6],[2]]

wcell#5:
  cardinality : 48
  special orbit : [12, 4]
  special representation : [[6], [2]]
  cell representation : phi[[6, 2],[]]+phi[[6],[2]]

wcell#6:
  cardinality : 48
  special orbit : [12, 2, 2]
  special representation : [[6, 1], [1]]
  cell representation : phi[[6, 1],[1]]

wcell#7:
  cardinality : 48
  special orbit : [12, 2, 2]
  special representation : [[6, 1], [1]]
  cell representation : phi[[6, 1],[1]]

wcell#8:
  cardinality : 48
  special orbit : [12, 2, 2]
  special representation : [[6, 1], [1]]
  cell representation : phi[[6, 1],[1]]

wcell#9:
  cardinality : 252
  special orbit : [10, 4, 2]
  special representation : [[5, 1], [2]]
  cell representation : phi[[5, 2],[1]]+phi[[5, 1],[2]]

wcell#10:
  cardinality : 260
  special orbit : [10, 2, 2, 2]
  special representation : [[5, 1], [1, 1]]
  cell representation : phi[[5, 1, 1],[1]]+phi[[5, 1],[1, 1]]

wcell#11:
  cardinality : 48
  special orbit : [12, 2, 2]
  special representation : [[6, 1], [1]]
  cell representation : phi[[6, 1],[1]]

wcell#12:
  cardinality : 252
  special orbit : [10, 4, 2]
  special representation : [[5, 1], [2]]
  cell representation : phi[[5, 2],[1]]+phi[[5, 1],[2]]

wcell#13:
  cardinality : 49
  special orbit : [12, 2, 1, 1]
  special representation : [[6], [1, 1]]
  cell representation : phi[[6, 1, 1],[]]+phi[[6],[1, 1]]

wcell#14:
  cardinality : 48
  special orbit : [12, 2, 2]
  special representation : [[6, 1], [1]]
  cell representation : phi[[6, 1],[1]]

wcell#15:
  cardinality : 48
  special orbit : [12, 2, 2]
  special representation : [[6, 1], [1]]
  cell representation : phi[[6, 1],[1]]

wcell#16:
  cardinality : 49
  special orbit : [12, 2, 1, 1]
  special representation : [[6], [1, 1]]
  cell representation : phi[[6, 1, 1],[]]+phi[[6],[1, 1]]

wcell#17:
  cardinality : 260
  special orbit : [10, 2, 2, 2]
  special representation : [[5, 1], [1, 1]]
  cell representation : phi[[5, 1, 1],[1]]+phi[[5, 1],[1, 1]]

wcell#18:
  cardinality : 176
  special orbit : [10, 4, 1, 1]
  special representation : [[5], [2, 1]]
  cell representation : phi[[5, 2, 1],[]]+phi[[5],[2, 1]]

wcell#19:
  cardinality : 176
  special orbit : [10, 4, 1, 1]
  special representation : [[5], [2, 1]]
  cell representation : phi[[5, 2, 1],[]]+phi[[5],[2, 1]]

wcell#20:
  cardinality : 260
  special orbit : [10, 2, 2, 2]
  special representation : [[5, 1], [1, 1]]
  cell representation : phi[[5, 1, 1],[1]]+phi[[5, 1],[1, 1]]

wcell#21:
  cardinality : 260
  special orbit : [10, 2, 2, 2]
  special representation : [[5, 1], [1, 1]]
  cell representation : phi[[5, 1, 1],[1]]+phi[[5, 1],[1, 1]]

wcell#22:
  cardinality : 260
  special orbit : [10, 2, 2, 2]
  special representation : [[5, 1], [1, 1]]
  cell representation : phi[[5, 1, 1],[1]]+phi[[5, 1],[1, 1]]

wcell#23:
  cardinality : 252
  special orbit : [8, 4, 4]
  special representation : [[4, 2], [2]]
  cell representation : phi[[4, 2],[2]]

wcell#24:
  cardinality : 280
  special orbit : [8, 2, 2, 2, 2]
  special representation : [[4, 1, 1], [1, 1]]
  cell representation : phi[[4, 1, 1],[1, 1]]

wcell#25:
  cardinality : 924
  special orbit : [8, 4, 2, 2]
  special representation : [[4, 1], [2, 1]]
  cell representation : phi[[4, 2, 2],[]]+phi[[4, 2, 1],[1]]+phi[[4, 1],[2, 1]]+phi[[4],[2, 2]]

wcell#26:
  cardinality : 280
  special orbit : [8, 2, 2, 2, 2]
  special representation : [[4, 1, 1], [1, 1]]
  cell representation : phi[[4, 1, 1],[1, 1]]

wcell#27:
  cardinality : 280
  special orbit : [8, 2, 2, 2, 2]
  special representation : [[4, 1, 1], [1, 1]]
  cell representation : phi[[4, 1, 1],[1, 1]]

wcell#28:
  cardinality : 91
  special orbit : [10, 2, 1, 1, 1, 1]
  special representation : [[5], [1, 1, 1]]
  cell representation : phi[[5, 1, 1, 1],[]]+phi[[5],[1, 1, 1]]

wcell#29:
  cardinality : 384
  special orbit : [8, 2, 2, 2, 1, 1]
  special representation : [[4, 1], [1, 1, 1]]
  cell representation : phi[[4, 1, 1, 1],[1]]+phi[[4, 1],[1, 1, 1]]

wcell#30:
  cardinality : 91
  special orbit : [10, 2, 1, 1, 1, 1]
  special representation : [[5], [1, 1, 1]]
  cell representation : phi[[5, 1, 1, 1],[]]+phi[[5],[1, 1, 1]]

wcell#31:
  cardinality : 91
  special orbit : [10, 2, 1, 1, 1, 1]
  special representation : [[5], [1, 1, 1]]
  cell representation : phi[[5, 1, 1, 1],[]]+phi[[5],[1, 1, 1]]

wcell#32:
  cardinality : 105
  special orbit : [8, 2, 1, 1, 1, 1, 1, 1]
  special representation : [[4], [1, 1, 1, 1]]
  cell representation : phi[[4, 1, 1, 1, 1],[]]+phi[[4],[1, 1, 1, 1]]

wcell#33:
  cardinality : 105
  special orbit : [8, 2, 1, 1, 1, 1, 1, 1]
  special representation : [[4], [1, 1, 1, 1]]
  cell representation : phi[[4, 1, 1, 1, 1],[]]+phi[[4],[1, 1, 1, 1]]