W-representations carried by the wcells in SO(7,5) x SO(9,3) block of SO12

wcell#0:
  cardinality : 1
  special orbit : [11, 1]
  special representation : [[], [6]]
  cell representation : phi[[],[6]]

wcell#1:
  cardinality : 5
  special orbit : [9, 1, 1, 1]
  special representation : [[], [5, 1]]
  cell representation : phi[[],[5, 1]]

wcell#2:
  cardinality : 6
  special orbit : [9, 3]
  special representation : [[1], [5]]
  cell representation : phi[[1],[5]]

wcell#3:
  cardinality : 5
  special orbit : [9, 1, 1, 1]
  special representation : [[], [5, 1]]
  cell representation : phi[[],[5, 1]]

wcell#4:
  cardinality : 33
  special orbit : [7, 3, 1, 1]
  special representation : [[1], [4, 1]]
  cell representation : phi[[],[4, 2]]+phi[[1],[4, 1]]

wcell#5:
  cardinality : 5
  special orbit : [9, 1, 1, 1]
  special representation : [[], [5, 1]]
  cell representation : phi[[],[5, 1]]

wcell#6:
  cardinality : 33
  special orbit : [7, 3, 1, 1]
  special representation : [[1], [4, 1]]
  cell representation : phi[[],[4, 2]]+phi[[1],[4, 1]]

wcell#7:
  cardinality : 10
  special orbit : [7, 1, 1, 1, 1, 1]
  special representation : [[], [4, 1, 1]]
  cell representation : phi[[],[4, 1, 1]]

wcell#8:
  cardinality : 30
  special orbit : [5, 3, 3, 1]
  special representation : [[1], [3, 2]]
  cell representation : phi[[1],[3, 2]]

wcell#9:
  cardinality : 10
  special orbit : [7, 1, 1, 1, 1, 1]
  special representation : [[], [4, 1, 1]]
  cell representation : phi[[],[4, 1, 1]]

wcell#10:
  cardinality : 52
  special orbit : [5, 3, 1, 1, 1, 1]
  special representation : [[1], [3, 1, 1]]
  cell representation : phi[[],[3, 2, 1]]+phi[[1],[3, 1, 1]]

wcell#11:
  cardinality : 10
  special orbit : [7, 1, 1, 1, 1, 1]
  special representation : [[], [4, 1, 1]]
  cell representation : phi[[],[4, 1, 1]]

wcell#12:
  cardinality : 10
  special orbit : [5, 1, 1, 1, 1, 1, 1, 1]
  special representation : [[], [3, 1, 1, 1]]
  cell representation : phi[[],[3, 1, 1, 1]]