TII subcells for the Sp(3,1) x SO(5,4) block of Sp8
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cell#0 , |C| = 8
special orbit = [3, 3, 1, 1]
special rep = [[1], [2, 1]] , dim = 8
cell rep = phi[[1],[2, 1]]
TII depth = 2
TII multiplicity polynomial = 8*X
TII subcells:
  tii[4,1] := {4}
  tii[4,2] := {0}
  tii[4,3] := {5}
  tii[4,4] := {7}
  tii[4,5] := {3}
  tii[4,6] := {1}
  tii[4,7] := {2}
  tii[4,8] := {6}

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

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