TII subcells for the SO(5,5) x SO(8,2) block of SO10 # cell#0 , |C| = 1 special orbit = [9, 1] special rep = [[], [5]] , dim = 1 cell rep = phi[[],[5]] TII depth = 1 TII multiplicity polynomial = X TII subcells: tii[14,1] := {0} cell#1 , |C| = 1 special orbit = [9, 1] special rep = [[], [5]] , dim = 1 cell rep = phi[[],[5]] TII depth = 1 TII multiplicity polynomial = X TII subcells: tii[14,1] := {0} cell#2 , |C| = 5 special orbit = [7, 3] special rep = [[1], [4]] , dim = 5 cell rep = phi[[1],[4]] TII depth = 1 TII multiplicity polynomial = 5*X TII subcells: tii[13,1] := {0} tii[13,2] := {1} tii[13,3] := {2} tii[13,4] := {3} tii[13,5] := {4} cell#3 , |C| = 4 special orbit = [7, 1, 1, 1] special rep = [[], [4, 1]] , dim = 4 cell rep = phi[[],[4, 1]] TII depth = 1 TII multiplicity polynomial = 4*X TII subcells: tii[12,1] := {2} tii[12,2] := {0} tii[12,3] := {1} tii[12,4] := {3} cell#4 , |C| = 4 special orbit = [7, 1, 1, 1] special rep = [[], [4, 1]] , dim = 4 cell rep = phi[[],[4, 1]] TII depth = 1 TII multiplicity polynomial = 4*X TII subcells: tii[12,1] := {2} tii[12,2] := {0} tii[12,3] := {1} tii[12,4] := {3} cell#5 , |C| = 20 special orbit = [5, 3, 1, 1] special rep = [[1], [3, 1]] , dim = 15 cell rep = phi[[],[3, 2]]+phi[[1],[3, 1]] TII depth = 2 TII multiplicity polynomial = 5*X^2+10*X TII subcells: tii[10,1] := {4, 5} tii[10,2] := {15, 16} tii[10,3] := {0} tii[10,4] := {1, 2} tii[10,5] := {3} tii[10,6] := {9} tii[10,7] := {10} tii[10,8] := {8} tii[10,9] := {13} tii[10,10] := {14} tii[10,11] := {17} tii[10,12] := {18} tii[10,13] := {19} tii[10,14] := {6, 7} tii[10,15] := {11, 12} cell#6 , |C| = 4 special orbit = [7, 1, 1, 1] special rep = [[], [4, 1]] , dim = 4 cell rep = phi[[],[4, 1]] TII depth = 1 TII multiplicity polynomial = 4*X TII subcells: tii[12,1] := {3} tii[12,2] := {2} tii[12,3] := {1} tii[12,4] := {0} cell#7 , |C| = 6 special orbit = [5, 1, 1, 1, 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[9,1] := {5} tii[9,2] := {2} tii[9,3] := {4} tii[9,4] := {0} tii[9,5] := {1} tii[9,6] := {3}