TII subcells for the SL(8,R) x PU(7,1) block of SL8
#
cell#0 , |C| = 1
special orbit = [8]
special rep = [8] , dim = 1
cell rep = phi[8]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[22,1] := {0}

cell#1 , |C| = 7
special orbit = [7, 1]
special rep = [7, 1] , dim = 7
cell rep = phi[7,1]
TII depth = 1
TII multiplicity polynomial = 7*X
TII subcells:
  tii[21,1] := {6}
  tii[21,2] := {5}
  tii[21,3] := {4}
  tii[21,4] := {3}
  tii[21,5] := {2}
  tii[21,6] := {1}
  tii[21,7] := {0}

cell#2 , |C| = 7
special orbit = [7, 1]
special rep = [7, 1] , dim = 7
cell rep = phi[7,1]
TII depth = 1
TII multiplicity polynomial = 7*X
TII subcells:
  tii[21,1] := {0}
  tii[21,2] := {1}
  tii[21,3] := {2}
  tii[21,4] := {3}
  tii[21,5] := {4}
  tii[21,6] := {5}
  tii[21,7] := {6}

cell#3 , |C| = 21
special orbit = [6, 1, 1]
special rep = [6, 1, 1] , dim = 21
cell rep = phi[6,1,1]
TII depth = 1
TII multiplicity polynomial = 21*X
TII subcells:
  tii[19,1] := {20}
  tii[19,2] := {10}
  tii[19,3] := {6}
  tii[19,4] := {3}
  tii[19,5] := {1}
  tii[19,6] := {0}
  tii[19,7] := {19}
  tii[19,8] := {11}
  tii[19,9] := {7}
  tii[19,10] := {4}
  tii[19,11] := {2}
  tii[19,12] := {18}
  tii[19,13] := {12}
  tii[19,14] := {8}
  tii[19,15] := {5}
  tii[19,16] := {17}
  tii[19,17] := {13}
  tii[19,18] := {9}
  tii[19,19] := {16}
  tii[19,20] := {14}
  tii[19,21] := {15}