TII subcells for the SO(8,1) x Sp(8,R) block of SO9 # cell#0 , |C| = 7 special orbit = [3, 1, 1, 1, 1, 1, 1] special rep = [[1], [1, 1, 1]] , dim = 4 cell rep = phi[[1],[1, 1, 1]]+phi[[],[2, 1, 1]] TII depth = 1 TII multiplicity polynomial = X+3*X^2 TII subcells: tii[2,1] := {0} tii[2,2] := {1, 2} tii[2,3] := {3, 4} tii[2,4] := {5, 6} cell#1 , |C| = 1 special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1] special rep = [[], [1, 1, 1, 1]] , dim = 1 cell rep = phi[[],[1, 1, 1, 1]] TII depth = 1 TII multiplicity polynomial = X TII subcells: tii[1,1] := {0} cell#2 , |C| = 1 special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1] special rep = [[], [1, 1, 1, 1]] , dim = 1 cell rep = phi[[],[1, 1, 1, 1]] TII depth = 1 TII multiplicity polynomial = X TII subcells: tii[1,1] := {0}