W-representations carried by the wcells in PGL(7,R) x SU(5,2) block of PGL7

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

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

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

wcell#3:
  cardinality : 14
  special orbit : [5, 2]
  special representation : [5, 2]
  cell representation : phi[5,2]

wcell#4:
  cardinality : 15
  special orbit : [5, 1, 1]
  special representation : [5, 1, 1]
  cell representation : phi[5,1,1]

wcell#5:
  cardinality : 14
  special orbit : [5, 2]
  special representation : [5, 2]
  cell representation : phi[5,2]

wcell#6:
  cardinality : 35
  special orbit : [4, 2, 1]
  special representation : [4, 2, 1]
  cell representation : phi[4,2,1]

wcell#7:
  cardinality : 14
  special orbit : [5, 2]
  special representation : [5, 2]
  cell representation : phi[5,2]

wcell#8:
  cardinality : 35
  special orbit : [4, 2, 1]
  special representation : [4, 2, 1]
  cell representation : phi[4,2,1]

wcell#9:
  cardinality : 21
  special orbit : [3, 2, 2]
  special representation : [3, 2, 2]
  cell representation : phi[3,2,2]

wcell#10:
  cardinality : 15
  special orbit : [5, 1, 1]
  special representation : [5, 1, 1]
  cell representation : phi[5,1,1]

wcell#11:
  cardinality : 20
  special orbit : [4, 1, 1, 1]
  special representation : [4, 1, 1, 1]
  cell representation : phi[4,1,1,1]

wcell#12:
  cardinality : 20
  special orbit : [4, 1, 1, 1]
  special representation : [4, 1, 1, 1]
  cell representation : phi[4,1,1,1]

wcell#13:
  cardinality : 15
  special orbit : [3, 1, 1, 1, 1]
  special representation : [3, 1, 1, 1, 1]
  cell representation : phi[3,1,1,1,1]