W-representations carried by the wcells in Sp(12,R) x SO(11,2) block of Sp12

wcell#0:
  cardinality : 1
  special orbit : [12]
  special representation : [[6], []]
  cell representation : phi[[6],[]]

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

wcell#2:
  cardinality : 11
  special orbit : [10, 2]
  special representation : [[5], [1]]
  cell representation : phi[[5, 1],[]]+phi[[5],[1]]

wcell#3:
  cardinality : 11
  special orbit : [10, 2]
  special representation : [[5], [1]]
  cell representation : phi[[5, 1],[]]+phi[[5],[1]]

wcell#4:
  cardinality : 11
  special orbit : [10, 2]
  special representation : [[5], [1]]
  cell representation : phi[[5, 1],[]]+phi[[5],[1]]

wcell#5:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#6:
  cardinality : 24
  special orbit : [8, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#7:
  cardinality : 25
  special orbit : [8, 2, 1, 1]
  special representation : [[4], [1, 1]]
  cell representation : phi[[4, 1, 1],[]]+phi[[4],[1, 1]]