TII subcells for the Spin(5,2) x PSp(6,R) block of Spin7
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cell#0 , |C| = 4
special orbit = [5, 1, 1]
special rep = [[2], [1]] , dim = 3
cell rep = phi[[2],[1]]+phi[[],[3]]
TII depth = 1
TII multiplicity polynomial = 2*X+X^2
TII subcells:
  tii[5,1] := {0}
  tii[5,2] := {2}
  tii[5,3] := {1, 3}

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

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

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

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

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

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