TII subcells for the PU(4,1) x SL(5,R) block of PGL5 # cell#0 , |C| = 6 special orbit = [3, 1, 1] special rep = [3, 1, 1] , dim = 6 cell rep = phi[3,1,1] TII depth = 1 TII multiplicity polynomial = 6*X TII subcells: tii[4,1] := {0} tii[4,2] := {3} tii[4,3] := {1} tii[4,4] := {5} tii[4,5] := {4} tii[4,6] := {2} cell#1 , |C| = 4 special orbit = [2, 1, 1, 1] special rep = [2, 1, 1, 1] , dim = 4 cell rep = phi[2,1,1,1] TII depth = 1 TII multiplicity polynomial = 4*X TII subcells: tii[2,1] := {0} tii[2,2] := {1} tii[2,3] := {2} tii[2,4] := {3} cell#2 , |C| = 4 special orbit = [2, 1, 1, 1] special rep = [2, 1, 1, 1] , dim = 4 cell rep = phi[2,1,1,1] TII depth = 1 TII multiplicity polynomial = 4*X TII subcells: tii[2,1] := {3} tii[2,2] := {2} tii[2,3] := {1} tii[2,4] := {0} cell#3 , |C| = 1 special orbit = [1, 1, 1, 1, 1] special rep = [1, 1, 1, 1, 1] , dim = 1 cell rep = phi[1,1,1,1,1] TII depth = 1 TII multiplicity polynomial = X TII subcells: tii[1,1] := {0}