TII subcells for the SL(9,R) x PU(8,1) block of SL9 # cell#0 , |C| = 1 special orbit = [9] special rep = [9] , dim = 1 cell rep = phi[9] TII depth = 1 TII multiplicity polynomial = X TII subcells: tii[30,1] := {0} cell#1 , |C| = 8 special orbit = [8, 1] special rep = [8, 1] , dim = 8 cell rep = phi[8,1] TII depth = 1 TII multiplicity polynomial = 8*X TII subcells: tii[29,1] := {7} tii[29,2] := {6} tii[29,3] := {5} tii[29,4] := {4} tii[29,5] := {3} tii[29,6] := {2} tii[29,7] := {1} tii[29,8] := {0} cell#2 , |C| = 8 special orbit = [8, 1] special rep = [8, 1] , dim = 8 cell rep = phi[8,1] TII depth = 1 TII multiplicity polynomial = 8*X TII subcells: tii[29,1] := {0} tii[29,2] := {1} tii[29,3] := {2} tii[29,4] := {3} tii[29,5] := {4} tii[29,6] := {5} tii[29,7] := {6} tii[29,8] := {7} cell#3 , |C| = 28 special orbit = [7, 1, 1] special rep = [7, 1, 1] , dim = 28 cell rep = phi[7,1,1] TII depth = 1 TII multiplicity polynomial = 28*X TII subcells: tii[27,1] := {27} tii[27,2] := {15} tii[27,3] := {10} tii[27,4] := {6} tii[27,5] := {3} tii[27,6] := {1} tii[27,7] := {0} tii[27,8] := {26} tii[27,9] := {16} tii[27,10] := {11} tii[27,11] := {7} tii[27,12] := {4} tii[27,13] := {2} tii[27,14] := {25} tii[27,15] := {17} tii[27,16] := {12} tii[27,17] := {8} tii[27,18] := {5} tii[27,19] := {24} tii[27,20] := {18} tii[27,21] := {13} tii[27,22] := {9} tii[27,23] := {23} tii[27,24] := {19} tii[27,25] := {14} tii[27,26] := {22} tii[27,27] := {20} tii[27,28] := {21}