W-representations carried by the wcells in PGL(9,R) x SU(5,4) block of PGL9

wcell#0:
  cardinality : 1
  special orbit : [9]
  special representation : [9]
  cell representation : phi[9]

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

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

wcell#3:
  cardinality : 27
  special orbit : [7, 2]
  special representation : [7, 2]
  cell representation : phi[7,2]

wcell#4:
  cardinality : 28
  special orbit : [7, 1, 1]
  special representation : [7, 1, 1]
  cell representation : phi[7,1,1]

wcell#5:
  cardinality : 27
  special orbit : [7, 2]
  special representation : [7, 2]
  cell representation : phi[7,2]

wcell#6:
  cardinality : 48
  special orbit : [6, 3]
  special representation : [6, 3]
  cell representation : phi[6,3]

wcell#7:
  cardinality : 27
  special orbit : [7, 2]
  special representation : [7, 2]
  cell representation : phi[7,2]

wcell#8:
  cardinality : 48
  special orbit : [6, 3]
  special representation : [6, 3]
  cell representation : phi[6,3]

wcell#9:
  cardinality : 42
  special orbit : [5, 4]
  special representation : [5, 4]
  cell representation : phi[5,4]

wcell#10:
  cardinality : 105
  special orbit : [6, 2, 1]
  special representation : [6, 2, 1]
  cell representation : phi[6,2,1]

wcell#11:
  cardinality : 105
  special orbit : [6, 2, 1]
  special representation : [6, 2, 1]
  cell representation : phi[6,2,1]

wcell#12:
  cardinality : 162
  special orbit : [5, 3, 1]
  special representation : [5, 3, 1]
  cell representation : phi[5,3,1]

wcell#13:
  cardinality : 28
  special orbit : [7, 1, 1]
  special representation : [7, 1, 1]
  cell representation : phi[7,1,1]

wcell#14:
  cardinality : 105
  special orbit : [6, 2, 1]
  special representation : [6, 2, 1]
  cell representation : phi[6,2,1]

wcell#15:
  cardinality : 105
  special orbit : [6, 2, 1]
  special representation : [6, 2, 1]
  cell representation : phi[6,2,1]

wcell#16:
  cardinality : 162
  special orbit : [5, 3, 1]
  special representation : [5, 3, 1]
  cell representation : phi[5,3,1]

wcell#17:
  cardinality : 120
  special orbit : [5, 2, 2]
  special representation : [5, 2, 2]
  cell representation : phi[5,2,2]

wcell#18:
  cardinality : 48
  special orbit : [6, 3]
  special representation : [6, 3]
  cell representation : phi[6,3]

wcell#19:
  cardinality : 42
  special orbit : [5, 4]
  special representation : [5, 4]
  cell representation : phi[5,4]

wcell#20:
  cardinality : 48
  special orbit : [6, 3]
  special representation : [6, 3]
  cell representation : phi[6,3]

wcell#21:
  cardinality : 42
  special orbit : [5, 4]
  special representation : [5, 4]
  cell representation : phi[5,4]

wcell#22:
  cardinality : 162
  special orbit : [5, 3, 1]
  special representation : [5, 3, 1]
  cell representation : phi[5,3,1]

wcell#23:
  cardinality : 84
  special orbit : [4, 4, 1]
  special representation : [4, 4, 1]
  cell representation : phi[4,4,1]

wcell#24:
  cardinality : 162
  special orbit : [5, 3, 1]
  special representation : [5, 3, 1]
  cell representation : phi[5,3,1]

wcell#25:
  cardinality : 84
  special orbit : [4, 4, 1]
  special representation : [4, 4, 1]
  cell representation : phi[4,4,1]

wcell#26:
  cardinality : 162
  special orbit : [5, 3, 1]
  special representation : [5, 3, 1]
  cell representation : phi[5,3,1]

wcell#27:
  cardinality : 168
  special orbit : [4, 3, 2]
  special representation : [4, 3, 2]
  cell representation : phi[4,3,2]

wcell#28:
  cardinality : 162
  special orbit : [5, 3, 1]
  special representation : [5, 3, 1]
  cell representation : phi[5,3,1]

wcell#29:
  cardinality : 168
  special orbit : [4, 3, 2]
  special representation : [4, 3, 2]
  cell representation : phi[4,3,2]

wcell#30:
  cardinality : 56
  special orbit : [6, 1, 1, 1]
  special representation : [6, 1, 1, 1]
  cell representation : phi[6,1,1,1]

wcell#31:
  cardinality : 56
  special orbit : [6, 1, 1, 1]
  special representation : [6, 1, 1, 1]
  cell representation : phi[6,1,1,1]

wcell#32:
  cardinality : 120
  special orbit : [5, 2, 2]
  special representation : [5, 2, 2]
  cell representation : phi[5,2,2]

wcell#33:
  cardinality : 168
  special orbit : [4, 3, 2]
  special representation : [4, 3, 2]
  cell representation : phi[4,3,2]

wcell#34:
  cardinality : 168
  special orbit : [4, 3, 2]
  special representation : [4, 3, 2]
  cell representation : phi[4,3,2]

wcell#35:
  cardinality : 42
  special orbit : [3, 3, 3]
  special representation : [3, 3, 3]
  cell representation : phi[3,3,3]

wcell#36:
  cardinality : 189
  special orbit : [5, 2, 1, 1]
  special representation : [5, 2, 1, 1]
  cell representation : phi[5,2,1,1]

wcell#37:
  cardinality : 189
  special orbit : [5, 2, 1, 1]
  special representation : [5, 2, 1, 1]
  cell representation : phi[5,2,1,1]

wcell#38:
  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#39:
  cardinality : 189
  special orbit : [5, 2, 1, 1]
  special representation : [5, 2, 1, 1]
  cell representation : phi[5,2,1,1]

wcell#40:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#41:
  cardinality : 189
  special orbit : [5, 2, 1, 1]
  special representation : [5, 2, 1, 1]
  cell representation : phi[5,2,1,1]

wcell#42:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#43:
  cardinality : 216
  special orbit : [4, 2, 2, 1]
  special representation : [4, 2, 2, 1]
  cell representation : phi[4,2,2,1]

wcell#44:
  cardinality : 216
  special orbit : [4, 2, 2, 1]
  special representation : [4, 2, 2, 1]
  cell representation : phi[4,2,2,1]

wcell#45:
  cardinality : 120
  special orbit : [5, 2, 2]
  special representation : [5, 2, 2]
  cell representation : phi[5,2,2]

wcell#46:
  cardinality : 216
  special orbit : [4, 2, 2, 1]
  special representation : [4, 2, 2, 1]
  cell representation : phi[4,2,2,1]

wcell#47:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#48:
  cardinality : 168
  special orbit : [3, 3, 2, 1]
  special representation : [3, 3, 2, 1]
  cell representation : phi[3,3,2,1]

wcell#49:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#50:
  cardinality : 168
  special orbit : [3, 3, 2, 1]
  special representation : [3, 3, 2, 1]
  cell representation : phi[3,3,2,1]

wcell#51:
  cardinality : 216
  special orbit : [4, 2, 2, 1]
  special representation : [4, 2, 2, 1]
  cell representation : phi[4,2,2,1]

wcell#52:
  cardinality : 84
  special orbit : [3, 2, 2, 2]
  special representation : [3, 2, 2, 2]
  cell representation : phi[3,2,2,2]

wcell#53:
  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#54:
  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#55:
  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#56:
  cardinality : 42
  special orbit : [5, 4]
  special representation : [5, 4]
  cell representation : phi[5,4]

wcell#57:
  cardinality : 84
  special orbit : [4, 4, 1]
  special representation : [4, 4, 1]
  cell representation : phi[4,4,1]

wcell#58:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#59:
  cardinality : 168
  special orbit : [3, 3, 2, 1]
  special representation : [3, 3, 2, 1]
  cell representation : phi[3,3,2,1]

wcell#60:
  cardinality : 42
  special orbit : [5, 4]
  special representation : [5, 4]
  cell representation : phi[5,4]

wcell#61:
  cardinality : 84
  special orbit : [4, 4, 1]
  special representation : [4, 4, 1]
  cell representation : phi[4,4,1]

wcell#62:
  cardinality : 216
  special orbit : [4, 3, 1, 1]
  special representation : [4, 3, 1, 1]
  cell representation : phi[4,3,1,1]

wcell#63:
  cardinality : 168
  special orbit : [3, 3, 2, 1]
  special representation : [3, 3, 2, 1]
  cell representation : phi[3,3,2,1]

wcell#64:
  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#65:
  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#66:
  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#67:
  cardinality : 84
  special orbit : [3, 2, 2, 2]
  special representation : [3, 2, 2, 2]
  cell representation : phi[3,2,2,2]

wcell#68:
  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#69:
  cardinality : 42
  special orbit : [2, 2, 2, 2, 1]
  special representation : [2, 2, 2, 2, 1]
  cell representation : phi[2,2,2,2,1]

wcell#70:
  cardinality : 84
  special orbit : [3, 2, 2, 2]
  special representation : [3, 2, 2, 2]
  cell representation : phi[3,2,2,2]

wcell#71:
  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#72:
  cardinality : 42
  special orbit : [2, 2, 2, 2, 1]
  special representation : [2, 2, 2, 2, 1]
  cell representation : phi[2,2,2,2,1]

wcell#73:
  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#74:
  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#75:
  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#76:
  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#77:
  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#78:
  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#79:
  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#80:
  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#81:
  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#82:
  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#83:
  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#84:
  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#85:
  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#86:
  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#87:
  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#88:
  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#89:
  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#90:
  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]