TII subcells for the PGL(6,R) x SU(3,3) block of PGL6
#
cell#0 , |C| = 1
special orbit = [6]
special rep = [6] , dim = 1
cell rep = phi[6]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[11,1] := {0}

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

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

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

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

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

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

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

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

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

cell#10 , |C| = 16
special orbit = [3, 2, 1]
special rep = [3, 2, 1] , dim = 16
cell rep = phi[3,2,1]
TII depth = 2
TII multiplicity polynomial = 16*X
TII subcells:
  tii[6,1] := {11}
  tii[6,2] := {15}
  tii[6,3] := {8}
  tii[6,4] := {13}
  tii[6,5] := {3}
  tii[6,6] := {7}
  tii[6,7] := {9}
  tii[6,8] := {6}
  tii[6,9] := {5}
  tii[6,10] := {10}
  tii[6,11] := {1}
  tii[6,12] := {14}
  tii[6,13] := {4}
  tii[6,14] := {0}
  tii[6,15] := {12}
  tii[6,16] := {2}

cell#11 , |C| = 16
special orbit = [3, 2, 1]
special rep = [3, 2, 1] , dim = 16
cell rep = phi[3,2,1]
TII depth = 2
TII multiplicity polynomial = 16*X
TII subcells:
  tii[6,1] := {11}
  tii[6,2] := {15}
  tii[6,3] := {8}
  tii[6,4] := {13}
  tii[6,5] := {3}
  tii[6,6] := {7}
  tii[6,7] := {9}
  tii[6,8] := {6}
  tii[6,9] := {5}
  tii[6,10] := {10}
  tii[6,11] := {1}
  tii[6,12] := {14}
  tii[6,13] := {4}
  tii[6,14] := {0}
  tii[6,15] := {12}
  tii[6,16] := {2}

cell#12 , |C| = 16
special orbit = [3, 2, 1]
special rep = [3, 2, 1] , dim = 16
cell rep = phi[3,2,1]
TII depth = 2
TII multiplicity polynomial = 16*X
TII subcells:
  tii[6,1] := {8}
  tii[6,2] := {7}
  tii[6,3] := {11}
  tii[6,4] := {2}
  tii[6,5] := {14}
  tii[6,6] := {15}
  tii[6,7] := {6}
  tii[6,8] := {9}
  tii[6,9] := {4}
  tii[6,10] := {1}
  tii[6,11] := {12}
  tii[6,12] := {3}
  tii[6,13] := {13}
  tii[6,14] := {10}
  tii[6,15] := {0}
  tii[6,16] := {5}

cell#13 , |C| = 16
special orbit = [3, 2, 1]
special rep = [3, 2, 1] , dim = 16
cell rep = phi[3,2,1]
TII depth = 2
TII multiplicity polynomial = 16*X
TII subcells:
  tii[6,1] := {8}
  tii[6,2] := {7}
  tii[6,3] := {11}
  tii[6,4] := {2}
  tii[6,5] := {14}
  tii[6,6] := {15}
  tii[6,7] := {6}
  tii[6,8] := {9}
  tii[6,9] := {4}
  tii[6,10] := {1}
  tii[6,11] := {12}
  tii[6,12] := {3}
  tii[6,13] := {13}
  tii[6,14] := {10}
  tii[6,15] := {0}
  tii[6,16] := {5}

cell#14 , |C| = 5
special orbit = [2, 2, 2]
special rep = [2, 2, 2] , dim = 5
cell rep = phi[2,2,2]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[4,1] := {4}
  tii[4,2] := {3}
  tii[4,3] := {1}
  tii[4,4] := {2}
  tii[4,5] := {0}

cell#15 , |C| = 10
special orbit = [3, 1, 1, 1]
special rep = [3, 1, 1, 1] , dim = 10
cell rep = phi[3,1,1,1]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[5,1] := {9}
  tii[5,2] := {5}
  tii[5,3] := {8}
  tii[5,4] := {2}
  tii[5,5] := {4}
  tii[5,6] := {7}
  tii[5,7] := {0}
  tii[5,8] := {1}
  tii[5,9] := {3}
  tii[5,10] := {6}

cell#16 , |C| = 10
special orbit = [3, 1, 1, 1]
special rep = [3, 1, 1, 1] , dim = 10
cell rep = phi[3,1,1,1]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[5,1] := {9}
  tii[5,2] := {5}
  tii[5,3] := {8}
  tii[5,4] := {2}
  tii[5,5] := {4}
  tii[5,6] := {7}
  tii[5,7] := {0}
  tii[5,8] := {1}
  tii[5,9] := {3}
  tii[5,10] := {6}

cell#17 , |C| = 5
special orbit = [3, 3]
special rep = [3, 3] , dim = 5
cell rep = phi[3,3]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[7,1] := {4}
  tii[7,2] := {1}
  tii[7,3] := {3}
  tii[7,4] := {2}
  tii[7,5] := {0}

cell#18 , |C| = 5
special orbit = [3, 3]
special rep = [3, 3] , dim = 5
cell rep = phi[3,3]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[7,1] := {4}
  tii[7,2] := {1}
  tii[7,3] := {3}
  tii[7,4] := {2}
  tii[7,5] := {0}

cell#19 , |C| = 9
special orbit = [2, 2, 1, 1]
special rep = [2, 2, 1, 1] , dim = 9
cell rep = phi[2,2,1,1]
TII depth = 1
TII multiplicity polynomial = 9*X
TII subcells:
  tii[3,1] := {4}
  tii[3,2] := {7}
  tii[3,3] := {8}
  tii[3,4] := {3}
  tii[3,5] := {5}
  tii[3,6] := {2}
  tii[3,7] := {1}
  tii[3,8] := {6}
  tii[3,9] := {0}

cell#20 , |C| = 9
special orbit = [2, 2, 1, 1]
special rep = [2, 2, 1, 1] , dim = 9
cell rep = phi[2,2,1,1]
TII depth = 1
TII multiplicity polynomial = 9*X
TII subcells:
  tii[3,1] := {4}
  tii[3,2] := {7}
  tii[3,3] := {8}
  tii[3,4] := {3}
  tii[3,5] := {5}
  tii[3,6] := {2}
  tii[3,7] := {1}
  tii[3,8] := {6}
  tii[3,9] := {0}

cell#21 , |C| = 9
special orbit = [2, 2, 1, 1]
special rep = [2, 2, 1, 1] , dim = 9
cell rep = phi[2,2,1,1]
TII depth = 1
TII multiplicity polynomial = 9*X
TII subcells:
  tii[3,1] := {7}
  tii[3,2] := {3}
  tii[3,3] := {1}
  tii[3,4] := {8}
  tii[3,5] := {5}
  tii[3,6] := {6}
  tii[3,7] := {4}
  tii[3,8] := {0}
  tii[3,9] := {2}

cell#22 , |C| = 9
special orbit = [2, 2, 1, 1]
special rep = [2, 2, 1, 1] , dim = 9
cell rep = phi[2,2,1,1]
TII depth = 1
TII multiplicity polynomial = 9*X
TII subcells:
  tii[3,1] := {7}
  tii[3,2] := {3}
  tii[3,3] := {1}
  tii[3,4] := {8}
  tii[3,5] := {5}
  tii[3,6] := {6}
  tii[3,7] := {4}
  tii[3,8] := {0}
  tii[3,9] := {2}

cell#23 , |C| = 5
special orbit = [2, 1, 1, 1, 1]
special rep = [2, 1, 1, 1, 1] , dim = 5
cell rep = phi[2,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[2,1] := {2}
  tii[2,2] := {4}
  tii[2,3] := {1}
  tii[2,4] := {3}
  tii[2,5] := {0}

cell#24 , |C| = 5
special orbit = [2, 1, 1, 1, 1]
special rep = [2, 1, 1, 1, 1] , dim = 5
cell rep = phi[2,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[2,1] := {2}
  tii[2,2] := {3}
  tii[2,3] := {1}
  tii[2,4] := {4}
  tii[2,5] := {0}

cell#25 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1]
special rep = [1, 1, 1, 1, 1, 1] , dim = 1
cell rep = phi[1,1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}

cell#26 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1]
special rep = [1, 1, 1, 1, 1, 1] , dim = 1
cell rep = phi[1,1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}