TII subcells for the SO(14,2) x SO(8,8) block of SO16
#
cell#0 , |C| = 21
special orbit = [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1, 1, 1, 1]] , dim = 21
cell rep = phi[[],[3, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 21*X
TII subcells:
  tii[23,1] := {0}
  tii[23,2] := {10}
  tii[23,3] := {14}
  tii[23,4] := {17}
  tii[23,5] := {19}
  tii[23,6] := {20}
  tii[23,7] := {1}
  tii[23,8] := {9}
  tii[23,9] := {2}
  tii[23,10] := {13}
  tii[23,11] := {8}
  tii[23,12] := {3}
  tii[23,13] := {16}
  tii[23,14] := {12}
  tii[23,15] := {7}
  tii[23,16] := {4}
  tii[23,17] := {18}
  tii[23,18] := {15}
  tii[23,19] := {11}
  tii[23,20] := {6}
  tii[23,21] := {5}

cell#1 , |C| = 68
special orbit = [3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[1], [2, 1, 1, 1, 1, 1]] , dim = 48
cell rep = phi[[],[2, 2, 1, 1, 1, 1]]+phi[[1],[2, 1, 1, 1, 1, 1]]
TII depth = 3
TII multiplicity polynomial = 28*X+20*X^2
TII subcells:
  tii[8,1] := {7, 8}
  tii[8,2] := {12, 13}
  tii[8,3] := {19, 20}
  tii[8,4] := {27, 28}
  tii[8,5] := {37, 38}
  tii[8,6] := {0}
  tii[8,7] := {1}
  tii[8,8] := {2}
  tii[8,9] := {5}
  tii[8,10] := {6}
  tii[8,11] := {11}
  tii[8,12] := {9}
  tii[8,13] := {10}
  tii[8,14] := {21, 22}
  tii[8,15] := {18}
  tii[8,16] := {23}
  tii[8,17] := {16}
  tii[8,18] := {17}
  tii[8,19] := {31, 32}
  tii[8,20] := {26}
  tii[8,21] := {39, 40}
  tii[8,22] := {33}
  tii[8,23] := {43}
  tii[8,24] := {24}
  tii[8,25] := {25}
  tii[8,26] := {41, 42}
  tii[8,27] := {36}
  tii[8,28] := {48, 49}
  tii[8,29] := {44}
  tii[8,30] := {54, 55}
  tii[8,31] := {52}
  tii[8,32] := {58}
  tii[8,33] := {34}
  tii[8,34] := {35}
  tii[8,35] := {50, 51}
  tii[8,36] := {45}
  tii[8,37] := {56, 57}
  tii[8,38] := {53}
  tii[8,39] := {62, 63}
  tii[8,40] := {59}
  tii[8,41] := {65, 66}
  tii[8,42] := {64}
  tii[8,43] := {67}
  tii[8,44] := {3, 4}
  tii[8,45] := {14, 15}
  tii[8,46] := {29, 30}
  tii[8,47] := {46, 47}
  tii[8,48] := {60, 61}

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

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

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

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

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

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