W-representations carried by the wcells in Spin(7,6) x PSp(3,3) block of Spin13

wcell#0:
  cardinality : 1
  special orbit : [13]
  special representation : [[6], []]
  cell representation : phi[[6],[]]

wcell#1:
  cardinality : 1
  special orbit : [13]
  special representation : [[6], []]
  cell representation : phi[[6],[]]

wcell#2:
  cardinality : 7
  special orbit : [11, 1, 1]
  special representation : [[5], [1]]
  cell representation : phi[[5],[1]]+phi[[],[6]]

wcell#3:
  cardinality : 24
  special orbit : [9, 3, 1]
  special representation : [[4], [2]]
  cell representation : phi[[4, 2],[]]+phi[[4],[2]]

wcell#4:
  cardinality : 24
  special orbit : [9, 3, 1]
  special representation : [[4], [2]]
  cell representation : phi[[4, 2],[]]+phi[[4],[2]]

wcell#5:
  cardinality : 35
  special orbit : [7, 5, 1]
  special representation : [[3], [3]]
  cell representation : phi[[3],[3]]+phi[[2],[4]]

wcell#6:
  cardinality : 24
  special orbit : [9, 2, 2]
  special representation : [[4, 1], [1]]
  cell representation : phi[[4, 1],[1]]

wcell#7:
  cardinality : 75
  special orbit : [7, 3, 3]
  special representation : [[3, 1], [2]]
  cell representation : phi[[3, 2],[1]]+phi[[3, 1],[2]]

wcell#8:
  cardinality : 30
  special orbit : [5, 4, 4]
  special representation : [[2, 2], [2]]
  cell representation : phi[[2, 2],[2]]

wcell#9:
  cardinality : 30
  special orbit : [5, 4, 4]
  special representation : [[2, 2], [2]]
  cell representation : phi[[2, 2],[2]]

wcell#10:
  cardinality : 54
  special orbit : [7, 2, 2, 1, 1]
  special representation : [[3, 1], [1, 1]]
  cell representation : phi[[3, 1],[1, 1]]+phi[[],[4, 2]]

wcell#11:
  cardinality : 145
  special orbit : [5, 3, 3, 1, 1]
  special representation : [[2, 1], [2, 1]]
  cell representation : phi[[2, 2, 2],[]]+phi[[2, 2, 1],[1]]+phi[[2, 1],[2, 1]]+phi[[2],[2, 2]]

wcell#12:
  cardinality : 45
  special orbit : [5, 2, 2, 2, 2]
  special representation : [[2, 1, 1], [1, 1]]
  cell representation : phi[[2, 1, 1],[1, 1]]

wcell#13:
  cardinality : 25
  special orbit : [3, 2, 2, 2, 2, 1, 1]
  special representation : [[1, 1, 1], [1, 1, 1]]
  cell representation : phi[[1, 1, 1],[1, 1, 1]]+phi[[],[2, 2, 2]]