TII subcells for the SO(10,2) x SO(8,4) block of SO12
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cell#0 , |C| = 10
special orbit = [5, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1, 1]] , dim = 10
cell rep = phi[[],[3, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[15,1] := {0}
  tii[15,2] := {1}
  tii[15,3] := {2}
  tii[15,4] := {4}
  tii[15,5] := {3}
  tii[15,6] := {5}
  tii[15,7] := {6}
  tii[15,8] := {7}
  tii[15,9] := {8}
  tii[15,10] := {9}

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