TII subcells for the SO(14,1) x Sp(14,R) block of SO15
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cell#0 , |C| = 13
special orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[1], [1, 1, 1, 1, 1, 1]] , dim = 7
cell rep = phi[[1],[1, 1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X^2+X
TII subcells:
  tii[2,1] := {0}
  tii[2,2] := {1, 2}
  tii[2,3] := {3, 4}
  tii[2,4] := {5, 6}
  tii[2,5] := {7, 8}
  tii[2,6] := {9, 10}
  tii[2,7] := {11, 12}

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

cell#2 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1, 1, 1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}