TII subcells for the SO(4,4) x SO(6,2) block of SO8
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cell#0 , |C| = 1
special orbit = [7, 1]
special rep = [[], [4]] , dim = 1
cell rep = phi[[],[4]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[11,1] := {0}

cell#1 , |C| = 1
special orbit = [7, 1]
special rep = [[], [4]] , dim = 1
cell rep = phi[[],[4]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[11,1] := {0}

cell#2 , |C| = 4
special orbit = [5, 3]
special rep = [[1], [3]] , dim = 4
cell rep = phi[[1],[3]]
TII depth = 1
TII multiplicity polynomial = 4*X
TII subcells:
  tii[10,1] := {0}
  tii[10,2] := {1}
  tii[10,3] := {3}
  tii[10,4] := {2}

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

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

cell#5 , |C| = 10
special orbit = [3, 3, 1, 1]
special rep = [[1], [2, 1]] , dim = 8
cell rep = phi[[],[2, 2]]+phi[[1],[2, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X+2*X^2
TII subcells:
  tii[6,1] := {5, 6}
  tii[6,2] := {0}
  tii[6,3] := {4}
  tii[6,4] := {3}
  tii[6,5] := {8}
  tii[6,6] := {7}
  tii[6,7] := {9}
  tii[6,8] := {1, 2}

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

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