TII subcells for the GL(5,R) x U(3,2) block of GL5
#
cell#0 , |C| = 1
special orbit = [5]
special rep = [5] , dim = 1
cell rep = phi[5]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[7,1] := {0}

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

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

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

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

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

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

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

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

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

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

cell#11 , |C| = 4
special orbit = [2, 1, 1, 1]
special rep = [2, 1, 1, 1] , dim = 4
cell rep = phi[2,1,1,1]
TII depth = 1
TII multiplicity polynomial = 4*X
TII subcells:
  tii[2,1] := {1}
  tii[2,2] := {2}
  tii[2,3] := {0}
  tii[2,4] := {3}

cell#12 , |C| = 1
special orbit = [1, 1, 1, 1, 1]
special rep = [1, 1, 1, 1, 1] , dim = 1
cell rep = phi[1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}