W-representations carried by the wcells in U(5,2) x GL(7,R) block of GL7

wcell#0:
  cardinality : 15
  special orbit : [5, 1, 1]
  special representation : [5, 1, 1]
  cell representation : phi[5,1,1]

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

wcell#2:
  cardinality : 21
  special orbit : [3, 3, 1]
  special representation : [3, 3, 1]
  cell representation : phi[3,3,1]

wcell#3:
  cardinality : 35
  special orbit : [3, 2, 1, 1]
  special representation : [3, 2, 1, 1]
  cell representation : phi[3,2,1,1]

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

wcell#5:
  cardinality : 14
  special orbit : [2, 2, 1, 1, 1]
  special representation : [2, 2, 1, 1, 1]
  cell representation : phi[2,2,1,1,1]

wcell#6:
  cardinality : 15
  special orbit : [3, 1, 1, 1, 1]
  special representation : [3, 1, 1, 1, 1]
  cell representation : phi[3,1,1,1,1]

wcell#7:
  cardinality : 35
  special orbit : [3, 2, 1, 1]
  special representation : [3, 2, 1, 1]
  cell representation : phi[3,2,1,1]

wcell#8:
  cardinality : 14
  special orbit : [2, 2, 1, 1, 1]
  special representation : [2, 2, 1, 1, 1]
  cell representation : phi[2,2,1,1,1]

wcell#9:
  cardinality : 15
  special orbit : [3, 1, 1, 1, 1]
  special representation : [3, 1, 1, 1, 1]
  cell representation : phi[3,1,1,1,1]

wcell#10:
  cardinality : 14
  special orbit : [2, 2, 1, 1, 1]
  special representation : [2, 2, 1, 1, 1]
  cell representation : phi[2,2,1,1,1]

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

wcell#12:
  cardinality : 6
  special orbit : [2, 1, 1, 1, 1, 1]
  special representation : [2, 1, 1, 1, 1, 1]
  cell representation : phi[2,1,1,1,1,1]

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