W-representations carried by the wcells in SU(6,3) x PGL(9,R) block of SL9

wcell#0:
  cardinality : 28
  special orbit : [7, 1, 1]
  special representation : [7, 1, 1]
  cell representation : phi[7,1,1]

wcell#1:
  cardinality : 56
  special orbit : [6, 1, 1, 1]
  special representation : [6, 1, 1, 1]
  cell representation : phi[6,1,1,1]

wcell#2:
  cardinality : 162
  special orbit : [5, 3, 1]
  special representation : [5, 3, 1]
  cell representation : phi[5,3,1]

wcell#3:
  cardinality : 189
  special orbit : [5, 2, 1, 1]
  special representation : [5, 2, 1, 1]
  cell representation : phi[5,2,1,1]

wcell#4:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#5:
  cardinality : 42
  special orbit : [3, 3, 3]
  special representation : [3, 3, 3]
  cell representation : phi[3,3,3]

wcell#6:
  cardinality : 168
  special orbit : [3, 3, 2, 1]
  special representation : [3, 3, 2, 1]
  cell representation : phi[3,3,2,1]

wcell#7:
  cardinality : 56
  special orbit : [6, 1, 1, 1]
  special representation : [6, 1, 1, 1]
  cell representation : phi[6,1,1,1]

wcell#8:
  cardinality : 189
  special orbit : [4, 2, 1, 1, 1]
  special representation : [4, 2, 1, 1, 1]
  cell representation : phi[4,2,1,1,1]

wcell#9:
  cardinality : 162
  special orbit : [3, 2, 2, 1, 1]
  special representation : [3, 2, 2, 1, 1]
  cell representation : phi[3,2,2,1,1]

wcell#10:
  cardinality : 70
  special orbit : [5, 1, 1, 1, 1]
  special representation : [5, 1, 1, 1, 1]
  cell representation : phi[5,1,1,1,1]

wcell#11:
  cardinality : 189
  special orbit : [5, 2, 1, 1]
  special representation : [5, 2, 1, 1]
  cell representation : phi[5,2,1,1]

wcell#12:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#13:
  cardinality : 70
  special orbit : [5, 1, 1, 1, 1]
  special representation : [5, 1, 1, 1, 1]
  cell representation : phi[5,1,1,1,1]

wcell#14:
  cardinality : 189
  special orbit : [4, 2, 1, 1, 1]
  special representation : [4, 2, 1, 1, 1]
  cell representation : phi[4,2,1,1,1]

wcell#15:
  cardinality : 189
  special orbit : [4, 2, 1, 1, 1]
  special representation : [4, 2, 1, 1, 1]
  cell representation : phi[4,2,1,1,1]

wcell#16:
  cardinality : 56
  special orbit : [4, 1, 1, 1, 1, 1]
  special representation : [4, 1, 1, 1, 1, 1]
  cell representation : phi[4,1,1,1,1,1]

wcell#17:
  cardinality : 120
  special orbit : [3, 3, 1, 1, 1]
  special representation : [3, 3, 1, 1, 1]
  cell representation : phi[3,3,1,1,1]

wcell#18:
  cardinality : 105
  special orbit : [3, 2, 1, 1, 1, 1]
  special representation : [3, 2, 1, 1, 1, 1]
  cell representation : phi[3,2,1,1,1,1]

wcell#19:
  cardinality : 168
  special orbit : [3, 3, 2, 1]
  special representation : [3, 3, 2, 1]
  cell representation : phi[3,3,2,1]

wcell#20:
  cardinality : 48
  special orbit : [2, 2, 2, 1, 1, 1]
  special representation : [2, 2, 2, 1, 1, 1]
  cell representation : phi[2,2,2,1,1,1]

wcell#21:
  cardinality : 189
  special orbit : [4, 2, 1, 1, 1]
  special representation : [4, 2, 1, 1, 1]
  cell representation : phi[4,2,1,1,1]

wcell#22:
  cardinality : 56
  special orbit : [4, 1, 1, 1, 1, 1]
  special representation : [4, 1, 1, 1, 1, 1]
  cell representation : phi[4,1,1,1,1,1]

wcell#23:
  cardinality : 105
  special orbit : [3, 2, 1, 1, 1, 1]
  special representation : [3, 2, 1, 1, 1, 1]
  cell representation : phi[3,2,1,1,1,1]

wcell#24:
  cardinality : 162
  special orbit : [3, 2, 2, 1, 1]
  special representation : [3, 2, 2, 1, 1]
  cell representation : phi[3,2,2,1,1]

wcell#25:
  cardinality : 48
  special orbit : [2, 2, 2, 1, 1, 1]
  special representation : [2, 2, 2, 1, 1, 1]
  cell representation : phi[2,2,2,1,1,1]

wcell#26:
  cardinality : 120
  special orbit : [3, 3, 1, 1, 1]
  special representation : [3, 3, 1, 1, 1]
  cell representation : phi[3,3,1,1,1]

wcell#27:
  cardinality : 162
  special orbit : [3, 2, 2, 1, 1]
  special representation : [3, 2, 2, 1, 1]
  cell representation : phi[3,2,2,1,1]

wcell#28:
  cardinality : 105
  special orbit : [3, 2, 1, 1, 1, 1]
  special representation : [3, 2, 1, 1, 1, 1]
  cell representation : phi[3,2,1,1,1,1]

wcell#29:
  cardinality : 105
  special orbit : [3, 2, 1, 1, 1, 1]
  special representation : [3, 2, 1, 1, 1, 1]
  cell representation : phi[3,2,1,1,1,1]

wcell#30:
  cardinality : 48
  special orbit : [2, 2, 2, 1, 1, 1]
  special representation : [2, 2, 2, 1, 1, 1]
  cell representation : phi[2,2,2,1,1,1]

wcell#31:
  cardinality : 27
  special orbit : [2, 2, 1, 1, 1, 1, 1]
  special representation : [2, 2, 1, 1, 1, 1, 1]
  cell representation : phi[2,2,1,1,1,1,1]

wcell#32:
  cardinality : 28
  special orbit : [3, 1, 1, 1, 1, 1, 1]
  special representation : [3, 1, 1, 1, 1, 1, 1]
  cell representation : phi[3,1,1,1,1,1,1]

wcell#33:
  cardinality : 48
  special orbit : [2, 2, 2, 1, 1, 1]
  special representation : [2, 2, 2, 1, 1, 1]
  cell representation : phi[2,2,2,1,1,1]

wcell#34:
  cardinality : 27
  special orbit : [2, 2, 1, 1, 1, 1, 1]
  special representation : [2, 2, 1, 1, 1, 1, 1]
  cell representation : phi[2,2,1,1,1,1,1]

wcell#35:
  cardinality : 28
  special orbit : [3, 1, 1, 1, 1, 1, 1]
  special representation : [3, 1, 1, 1, 1, 1, 1]
  cell representation : phi[3,1,1,1,1,1,1]

wcell#36:
  cardinality : 27
  special orbit : [2, 2, 1, 1, 1, 1, 1]
  special representation : [2, 2, 1, 1, 1, 1, 1]
  cell representation : phi[2,2,1,1,1,1,1]

wcell#37:
  cardinality : 8
  special orbit : [2, 1, 1, 1, 1, 1, 1, 1]
  special representation : [2, 1, 1, 1, 1, 1, 1, 1]
  cell representation : phi[2,1,1,1,1,1,1,1]

wcell#38:
  cardinality : 8
  special orbit : [2, 1, 1, 1, 1, 1, 1, 1]
  special representation : [2, 1, 1, 1, 1, 1, 1, 1]
  cell representation : phi[2,1,1,1,1,1,1,1]

wcell#39:
  cardinality : 1
  special orbit : [1, 1, 1, 1, 1, 1, 1, 1, 1]
  special representation : [1, 1, 1, 1, 1, 1, 1, 1, 1]
  cell representation : phi[1,1,1,1,1,1,1,1,1]