TII subcells for the Sp(8,R) x SO(8,1) block of Sp8
#
cell#0 , |C| = 1
special orbit = [8]
special rep = [[4], []] , dim = 1
cell rep = phi[[4],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[10,1] := {0}

cell#1 , |C| = 1
special orbit = [8]
special rep = [[4], []] , dim = 1
cell rep = phi[[4],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[10,1] := {0}

cell#2 , |C| = 7
special orbit = [6, 2]
special rep = [[3], [1]] , dim = 4
cell rep = phi[[3, 1],[]]+phi[[3],[1]]
TII depth = 1
TII multiplicity polynomial = X+3*X^2
TII subcells:
  tii[9,1] := {0, 1}
  tii[9,2] := {2, 3}
  tii[9,3] := {4, 5}
  tii[9,4] := {6}