W-representations carried by the wcells in SO(12,3) x Sp(14,R) block of SO15 wcell#0: cardinality : 55 special orbit : [7, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[3], [1, 1, 1, 1]] cell representation : phi[[3],[1, 1, 1, 1]]+phi[[],[4, 1, 1, 1]] wcell#1: cardinality : 154 special orbit : [5, 3, 1, 1, 1, 1, 1, 1, 1] special representation : [[2], [2, 1, 1, 1]] cell representation : phi[[2],[2, 1, 1, 1]]+phi[[1],[3, 1, 1, 1]] wcell#2: cardinality : 154 special orbit : [5, 3, 1, 1, 1, 1, 1, 1, 1] special representation : [[2], [2, 1, 1, 1]] cell representation : phi[[2],[2, 1, 1, 1]]+phi[[1],[3, 1, 1, 1]] wcell#3: cardinality : 147 special orbit : [3, 3, 3, 1, 1, 1, 1, 1, 1] special representation : [[1, 1], [2, 1, 1, 1]] cell representation : phi[[1, 1],[2, 1, 1, 1]]+phi[[1],[2, 2, 1, 1]] wcell#4: cardinality : 36 special orbit : [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[2], [1, 1, 1, 1, 1]] cell representation : phi[[2],[1, 1, 1, 1, 1]]+phi[[],[3, 1, 1, 1, 1]] wcell#5: cardinality : 36 special orbit : [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[2], [1, 1, 1, 1, 1]] cell representation : phi[[2],[1, 1, 1, 1, 1]]+phi[[],[3, 1, 1, 1, 1]] wcell#6: cardinality : 36 special orbit : [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[2], [1, 1, 1, 1, 1]] cell representation : phi[[2],[1, 1, 1, 1, 1]]+phi[[],[3, 1, 1, 1, 1]] wcell#7: cardinality : 35 special orbit : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [2, 1, 1, 1, 1]] cell representation : phi[[1],[2, 1, 1, 1, 1]] wcell#8: cardinality : 35 special orbit : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [2, 1, 1, 1, 1]] cell representation : phi[[1],[2, 1, 1, 1, 1]] wcell#9: cardinality : 35 special orbit : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [2, 1, 1, 1, 1]] cell representation : phi[[1],[2, 1, 1, 1, 1]] wcell#10: cardinality : 13 special orbit : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [1, 1, 1, 1, 1, 1]] cell representation : phi[[1],[1, 1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1, 1]] wcell#11: cardinality : 35 special orbit : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [2, 1, 1, 1, 1]] cell representation : phi[[1],[2, 1, 1, 1, 1]] wcell#12: cardinality : 13 special orbit : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [1, 1, 1, 1, 1, 1]] cell representation : phi[[1],[1, 1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1, 1]] wcell#13: cardinality : 35 special orbit : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [2, 1, 1, 1, 1]] cell representation : phi[[1],[2, 1, 1, 1, 1]] wcell#14: cardinality : 35 special orbit : [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [2, 1, 1, 1, 1]] cell representation : phi[[1],[2, 1, 1, 1, 1]] wcell#15: cardinality : 35 special orbit : [3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1, 1], [1, 1, 1, 1, 1]] cell representation : phi[[1, 1],[1, 1, 1, 1, 1]]+phi[[],[2, 2, 1, 1, 1]] wcell#16: cardinality : 13 special orbit : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [1, 1, 1, 1, 1, 1]] cell representation : phi[[1],[1, 1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1, 1]] wcell#17: cardinality : 13 special orbit : [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[1], [1, 1, 1, 1, 1, 1]] cell representation : phi[[1],[1, 1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1, 1]] wcell#18: cardinality : 1 special orbit : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[], [1, 1, 1, 1, 1, 1, 1]] cell representation : phi[[],[1, 1, 1, 1, 1, 1, 1]] wcell#19: cardinality : 1 special orbit : [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] special representation : [[], [1, 1, 1, 1, 1, 1, 1]] cell representation : phi[[],[1, 1, 1, 1, 1, 1, 1]]