W-representations carried by the wcells in U(7,1) x GL(8,R) block of GL8

wcell#0:
  cardinality : 21
  special orbit : [3, 1, 1, 1, 1, 1]
  special representation : [3, 1, 1, 1, 1, 1]
  cell representation : phi[3,1,1,1,1,1]

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

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

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