TII subcells for the PU(8,1) x SL(9,R) block of PGL9
#
cell#0 , |C| = 28
special orbit = [3, 1, 1, 1, 1, 1, 1]
special rep = [3, 1, 1, 1, 1, 1, 1] , dim = 28
cell rep = phi[3,1,1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = 28*X
TII subcells:
  tii[6,1] := {0}
  tii[6,2] := {7}
  tii[6,3] := {1}
  tii[6,4] := {13}
  tii[6,5] := {8}
  tii[6,6] := {2}
  tii[6,7] := {18}
  tii[6,8] := {14}
  tii[6,9] := {9}
  tii[6,10] := {3}
  tii[6,11] := {22}
  tii[6,12] := {19}
  tii[6,13] := {15}
  tii[6,14] := {10}
  tii[6,15] := {4}
  tii[6,16] := {25}
  tii[6,17] := {23}
  tii[6,18] := {20}
  tii[6,19] := {16}
  tii[6,20] := {11}
  tii[6,21] := {5}
  tii[6,22] := {27}
  tii[6,23] := {26}
  tii[6,24] := {24}
  tii[6,25] := {21}
  tii[6,26] := {17}
  tii[6,27] := {12}
  tii[6,28] := {6}

cell#1 , |C| = 8
special orbit = [2, 1, 1, 1, 1, 1, 1, 1]
special rep = [2, 1, 1, 1, 1, 1, 1, 1] , dim = 8
cell rep = phi[2,1,1,1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = 8*X
TII subcells:
  tii[2,1] := {0}
  tii[2,2] := {1}
  tii[2,3] := {2}
  tii[2,4] := {3}
  tii[2,5] := {4}
  tii[2,6] := {5}
  tii[2,7] := {6}
  tii[2,8] := {7}

cell#2 , |C| = 8
special orbit = [2, 1, 1, 1, 1, 1, 1, 1]
special rep = [2, 1, 1, 1, 1, 1, 1, 1] , dim = 8
cell rep = phi[2,1,1,1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = 8*X
TII subcells:
  tii[2,1] := {7}
  tii[2,2] := {6}
  tii[2,3] := {5}
  tii[2,4] := {4}
  tii[2,5] := {3}
  tii[2,6] := {2}
  tii[2,7] := {1}
  tii[2,8] := {0}

cell#3 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [1, 1, 1, 1, 1, 1, 1, 1, 1] , dim = 1
cell rep = phi[1,1,1,1,1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}