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

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

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

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

wcell#3:
  cardinality : 21
  special orbit : [6, 1, 1]
  special representation : [6, 1, 1]
  cell representation : phi[6,1,1]