TII subcells for the SO(5,4) x Sp(2,2) block of SO9
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cell#0 , |C| = 1
special orbit = [9]
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| = 7
special orbit = [7, 1, 1]
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] := {5, 6}
  tii[9,2] := {3, 4}
  tii[9,3] := {1, 2}
  tii[9,4] := {0}

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

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

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

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