TII subcells for the GL(7,R) x U(6,1) block of GL7 # cell#0 , |C| = 1 special orbit = [7] special rep = [7] , dim = 1 cell rep = phi[7] TII depth = 1 TII multiplicity polynomial = X TII subcells: tii[15,1] := {0} cell#1 , |C| = 6 special orbit = [6, 1] special rep = [6, 1] , dim = 6 cell rep = phi[6,1] TII depth = 1 TII multiplicity polynomial = 6*X TII subcells: tii[14,1] := {5} tii[14,2] := {4} tii[14,3] := {3} tii[14,4] := {2} tii[14,5] := {1} tii[14,6] := {0} cell#2 , |C| = 6 special orbit = [6, 1] special rep = [6, 1] , dim = 6 cell rep = phi[6,1] TII depth = 1 TII multiplicity polynomial = 6*X TII subcells: tii[14,1] := {0} tii[14,2] := {1} tii[14,3] := {2} tii[14,4] := {3} tii[14,5] := {4} tii[14,6] := {5} cell#3 , |C| = 15 special orbit = [5, 1, 1] special rep = [5, 1, 1] , dim = 15 cell rep = phi[5,1,1] TII depth = 1 TII multiplicity polynomial = 15*X TII subcells: tii[12,1] := {14} tii[12,2] := {6} tii[12,3] := {3} tii[12,4] := {1} tii[12,5] := {0} tii[12,6] := {13} tii[12,7] := {7} tii[12,8] := {4} tii[12,9] := {2} tii[12,10] := {12} tii[12,11] := {8} tii[12,12] := {5} tii[12,13] := {11} tii[12,14] := {9} tii[12,15] := {10}