TII subcells for the PGL(9,R) x SU(8,1) block of PGL9
#
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}