W-representations carried by the wcells in E7ad(D6xA1) x E7sc(R) block of E7ad

wcell#0:
  cardinality : 21
  special orbit : E6
  special representation : phi[21,3]
  cell representation : phi[21,3]

wcell#1:
  cardinality : 189
  special orbit : D5
  special representation : phi[189,7]
  cell representation : phi[189,7]

wcell#2:
  cardinality : 135
  special orbit : E6(a1)
  special representation : phi[120,4]
  cell representation : phi[15,7]+phi[120,4]

wcell#3:
  cardinality : 189
  special orbit : D5
  special representation : phi[189,7]
  cell representation : phi[189,7]

wcell#4:
  cardinality : 621
  special orbit : E6(a3)
  special representation : phi[405,8]
  cell representation : phi[216,9]+phi[405,8]

wcell#5:
  cardinality : 756
  special orbit : D5(a1)
  special representation : phi[420,10]
  cell representation : phi[336,11]+phi[420,10]

wcell#6:
  cardinality : 504
  special orbit : A4
  special representation : phi[420,13]
  cell representation : phi[84,15]+phi[420,13]

wcell#7:
  cardinality : 105
  special orbit : D4
  special representation : phi[105,15]
  cell representation : phi[105,15]

wcell#8:
  cardinality : 105
  special orbit : D4
  special representation : phi[105,15]
  cell representation : phi[105,15]

wcell#9:
  cardinality : 875
  special orbit : D4(a1)
  special representation : phi[315,16]
  cell representation : phi[280,17]+phi[280,18]+phi[315,16]

wcell#10:
  cardinality : 105
  special orbit : A6
  special representation : phi[105,6]
  cell representation : phi[105,6]

wcell#11:
  cardinality : 621
  special orbit : E6(a3)
  special representation : phi[405,8]
  cell representation : phi[216,9]+phi[405,8]

wcell#12:
  cardinality : 210
  special orbit : A4+A2
  special representation : phi[210,10]
  cell representation : phi[210,10]

wcell#13:
  cardinality : 1024
  special orbit : A4+A1
  special representation : phi[512,11]
  cell representation : phi[512,12]+phi[512,11]

wcell#14:
  cardinality : 504
  special orbit : A4
  special representation : phi[420,13]
  cell representation : phi[84,15]+phi[420,13]

wcell#15:
  cardinality : 665
  special orbit : D4(a1)
  special representation : phi[315,16]
  cell representation : phi[70,18]+phi[280,17]+phi[315,16]

wcell#16:
  cardinality : 378
  special orbit : A3+A2
  special representation : phi[378,14]
  cell representation : phi[378,14]

wcell#17:
  cardinality : 168
  special orbit : 2*A2
  special representation : phi[168,21]
  cell representation : phi[168,21]

wcell#18:
  cardinality : 210
  special orbit : A3
  special representation : phi[210,21]
  cell representation : phi[210,21]

wcell#19:
  cardinality : 91
  special orbit : A2
  special representation : phi[56,30]
  cell representation : phi[35,31]+phi[56,30]

wcell#20:
  cardinality : 875
  special orbit : D4(a1)
  special representation : phi[315,16]
  cell representation : phi[280,17]+phi[280,18]+phi[315,16]

wcell#21:
  cardinality : 210
  special orbit : A3
  special representation : phi[210,21]
  cell representation : phi[210,21]

wcell#22:
  cardinality : 168
  special orbit : 2*A2
  special representation : phi[168,21]
  cell representation : phi[168,21]

wcell#23:
  cardinality : 189
  special orbit : A2+2*A1
  special representation : phi[189,22]
  cell representation : phi[189,22]

wcell#24:
  cardinality : 189
  special orbit : A2+2*A1
  special representation : phi[189,22]
  cell representation : phi[189,22]

wcell#25:
  cardinality : 225
  special orbit : A2+A1
  special representation : phi[120,25]
  cell representation : phi[105,26]+phi[120,25]

wcell#26:
  cardinality : 91
  special orbit : A2
  special representation : phi[56,30]
  cell representation : phi[35,31]+phi[56,30]

wcell#27:
  cardinality : 91
  special orbit : A2
  special representation : phi[56,30]
  cell representation : phi[35,31]+phi[56,30]

wcell#28:
  cardinality : 27
  special orbit : 2*A1
  special representation : phi[27,37]
  cell representation : phi[27,37]

wcell#29:
  cardinality : 27
  special orbit : 2*A1
  special representation : phi[27,37]
  cell representation : phi[27,37]

wcell#30:
  cardinality : 7
  special orbit : A1
  special representation : phi[7,46]
  cell representation : phi[7,46]

wcell#31:
  cardinality : 1
  special orbit : 0
  special representation : phi[1,63]
  cell representation : phi[1,63]