TII subcells for the SU(3,1) x PGL(4,R) block of SL4
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cell#0 , |C| = 3
special orbit = [3, 1]
special rep = [3, 1] , dim = 3
cell rep = phi[3,1]
TII depth = 1
TII multiplicity polynomial = 3*X
TII subcells:
  tii[4,1] := {0}
  tii[4,2] := {2}
  tii[4,3] := {1}

cell#1 , |C| = 3
special orbit = [2, 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[2,1] := {0}
  tii[2,2] := {1}
  tii[2,3] := {2}

cell#2 , |C| = 3
special orbit = [2, 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[2,1] := {2}
  tii[2,2] := {1}
  tii[2,3] := {0}

cell#3 , |C| = 1
special orbit = [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}