W-representations carried by the wcells in E7ad(R) x E7sc(E6xR) block of E7ad

wcell#0:
  cardinality : 1
  special orbit : E7
  special representation : phi[1,0]
  cell representation : phi[1,0]

wcell#1:
  cardinality : 7
  special orbit : E7(a1)
  special representation : phi[7,1]
  cell representation : phi[7,1]

wcell#2:
  cardinality : 7
  special orbit : E7(a1)
  special representation : phi[7,1]
  cell representation : phi[7,1]

wcell#3:
  cardinality : 27
  special orbit : E7(a2)
  special representation : phi[27,2]
  cell representation : phi[27,2]

wcell#4:
  cardinality : 27
  special orbit : E7(a2)
  special representation : phi[27,2]
  cell representation : phi[27,2]

wcell#5:
  cardinality : 21
  special orbit : E6
  special representation : phi[21,3]
  cell representation : phi[21,3]

wcell#6:
  cardinality : 27
  special orbit : E7(a2)
  special representation : phi[27,2]
  cell representation : phi[27,2]

wcell#7:
  cardinality : 21
  special orbit : E6
  special representation : phi[21,3]
  cell representation : phi[21,3]

wcell#8:
  cardinality : 77
  special orbit : E7(a3)
  special representation : phi[56,3]
  cell representation : phi[21,6]+phi[56,3]

wcell#9:
  cardinality : 225
  special orbit : E6(a1)
  special representation : phi[120,4]
  cell representation : phi[105,5]+phi[120,4]

wcell#10:
  cardinality : 225
  special orbit : E6(a1)
  special representation : phi[120,4]
  cell representation : phi[105,5]+phi[120,4]

wcell#11:
  cardinality : 168
  special orbit : D5+A1
  special representation : phi[168,6]
  cell representation : phi[168,6]

wcell#12:
  cardinality : 210
  special orbit : D6(a1)
  special representation : phi[210,6]
  cell representation : phi[210,6]

wcell#13:
  cardinality : 210
  special orbit : D6(a1)
  special representation : phi[210,6]
  cell representation : phi[210,6]

wcell#14:
  cardinality : 189
  special orbit : D5
  special representation : phi[189,7]
  cell representation : phi[189,7]

wcell#15:
  cardinality : 189
  special orbit : D5
  special representation : phi[189,7]
  cell representation : phi[189,7]

wcell#16:
  cardinality : 756
  special orbit : D5(a1)
  special representation : phi[420,10]
  cell representation : phi[336,11]+phi[420,10]

wcell#17:
  cardinality : 21
  special orbit : E6
  special representation : phi[21,3]
  cell representation : phi[21,3]

wcell#18:
  cardinality : 21
  special orbit : E6
  special representation : phi[21,3]
  cell representation : phi[21,3]

wcell#19:
  cardinality : 189
  special orbit : D5
  special representation : phi[189,7]
  cell representation : phi[189,7]

wcell#20:
  cardinality : 189
  special orbit : D5
  special representation : phi[189,7]
  cell representation : phi[189,7]

wcell#21:
  cardinality : 105
  special orbit : D4
  special representation : phi[105,15]
  cell representation : phi[105,15]

wcell#22:
  cardinality : 105
  special orbit : D4
  special representation : phi[105,15]
  cell representation : phi[105,15]