TII subcells for the PSO(8,8) x Spin(14,2) block of PSO16
#
cell#0 , |C| = 1
special orbit = [15, 1]
special rep = [[], [8]] , dim = 1
cell rep = phi[[],[8]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[60,1] := {0}

cell#1 , |C| = 8
special orbit = [13, 3]
special rep = [[1], [7]] , dim = 8
cell rep = phi[[1],[7]]
TII depth = 1
TII multiplicity polynomial = 8*X
TII subcells:
  tii[59,1] := {0}
  tii[59,2] := {1}
  tii[59,3] := {2}
  tii[59,4] := {3}
  tii[59,5] := {4}
  tii[59,6] := {5}
  tii[59,7] := {6}
  tii[59,8] := {7}

cell#2 , |C| = 8
special orbit = [13, 3]
special rep = [[1], [7]] , dim = 8
cell rep = phi[[1],[7]]
TII depth = 1
TII multiplicity polynomial = 8*X
TII subcells:
  tii[59,1] := {0}
  tii[59,2] := {1}
  tii[59,3] := {2}
  tii[59,4] := {3}
  tii[59,5] := {4}
  tii[59,6] := {5}
  tii[59,7] := {6}
  tii[59,8] := {7}

cell#3 , |C| = 7
special orbit = [13, 1, 1, 1]
special rep = [[], [7, 1]] , dim = 7
cell rep = phi[[],[7, 1]]
TII depth = 1
TII multiplicity polynomial = 7*X
TII subcells:
  tii[58,1] := {2}
  tii[58,2] := {0}
  tii[58,3] := {1}
  tii[58,4] := {3}
  tii[58,5] := {4}
  tii[58,6] := {5}
  tii[58,7] := {6}

cell#4 , |C| = 76
special orbit = [11, 3, 1, 1]
special rep = [[1], [6, 1]] , dim = 48
cell rep = phi[[1],[6, 1]]+phi[[1, 1],[6]]
TII depth = 3
TII multiplicity polynomial = 28*X^2+20*X
TII subcells:
  tii[56,1] := {6}
  tii[56,2] := {19}
  tii[56,3] := {38}
  tii[56,4] := {56}
  tii[56,5] := {69}
  tii[56,6] := {0, 1}
  tii[56,7] := {2}
  tii[56,8] := {3, 4}
  tii[56,9] := {5}
  tii[56,10] := {7, 8}
  tii[56,11] := {11}
  tii[56,12] := {13, 14}
  tii[56,13] := {17}
  tii[56,14] := {20, 21}
  tii[56,15] := {31, 32}
  tii[56,16] := {33, 34}
  tii[56,17] := {9, 10}
  tii[56,18] := {15, 16}
  tii[56,19] := {12}
  tii[56,20] := {18}
  tii[56,21] := {22, 23}
  tii[56,22] := {26}
  tii[56,23] := {29, 30}
  tii[56,24] := {42, 43}
  tii[56,25] := {44, 45}
  tii[56,26] := {24, 25}
  tii[56,27] := {35, 36}
  tii[56,28] := {27}
  tii[56,29] := {37}
  tii[56,30] := {40, 41}
  tii[56,31] := {52, 53}
  tii[56,32] := {54, 55}
  tii[56,33] := {46, 47}
  tii[56,34] := {48}
  tii[56,35] := {50, 51}
  tii[56,36] := {60, 61}
  tii[56,37] := {62, 63}
  tii[56,38] := {58, 59}
  tii[56,39] := {65, 66}
  tii[56,40] := {67, 68}
  tii[56,41] := {70, 71}
  tii[56,42] := {72, 73}
  tii[56,43] := {74, 75}
  tii[56,44] := {28}
  tii[56,45] := {39}
  tii[56,46] := {49}
  tii[56,47] := {57}
  tii[56,48] := {64}

cell#5 , |C| = 7
special orbit = [13, 1, 1, 1]
special rep = [[], [7, 1]] , dim = 7
cell rep = phi[[],[7, 1]]
TII depth = 1
TII multiplicity polynomial = 7*X
TII subcells:
  tii[58,1] := {6}
  tii[58,2] := {5}
  tii[58,3] := {4}
  tii[58,4] := {3}
  tii[58,5] := {2}
  tii[58,6] := {1}
  tii[58,7] := {0}

cell#6 , |C| = 7
special orbit = [13, 1, 1, 1]
special rep = [[], [7, 1]] , dim = 7
cell rep = phi[[],[7, 1]]
TII depth = 1
TII multiplicity polynomial = 7*X
TII subcells:
  tii[58,1] := {6}
  tii[58,2] := {5}
  tii[58,3] := {4}
  tii[58,4] := {3}
  tii[58,5] := {2}
  tii[58,6] := {1}
  tii[58,7] := {0}

cell#7 , |C| = 21
special orbit = [11, 1, 1, 1, 1, 1]
special rep = [[], [6, 1, 1]] , dim = 21
cell rep = phi[[],[6, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 21*X
TII subcells:
  tii[55,1] := {20}
  tii[55,2] := {14}
  tii[55,3] := {9}
  tii[55,4] := {5}
  tii[55,5] := {2}
  tii[55,6] := {19}
  tii[55,7] := {13}
  tii[55,8] := {8}
  tii[55,9] := {4}
  tii[55,10] := {18}
  tii[55,11] := {12}
  tii[55,12] := {7}
  tii[55,13] := {17}
  tii[55,14] := {11}
  tii[55,15] := {16}
  tii[55,16] := {0}
  tii[55,17] := {1}
  tii[55,18] := {3}
  tii[55,19] := {6}
  tii[55,20] := {10}
  tii[55,21] := {15}

cell#8 , |C| = 21
special orbit = [11, 1, 1, 1, 1, 1]
special rep = [[], [6, 1, 1]] , dim = 21
cell rep = phi[[],[6, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 21*X
TII subcells:
  tii[55,1] := {20}
  tii[55,2] := {14}
  tii[55,3] := {9}
  tii[55,4] := {5}
  tii[55,5] := {2}
  tii[55,6] := {19}
  tii[55,7] := {13}
  tii[55,8] := {8}
  tii[55,9] := {4}
  tii[55,10] := {18}
  tii[55,11] := {12}
  tii[55,12] := {7}
  tii[55,13] := {17}
  tii[55,14] := {11}
  tii[55,15] := {16}
  tii[55,16] := {0}
  tii[55,17] := {1}
  tii[55,18] := {3}
  tii[55,19] := {6}
  tii[55,20] := {10}
  tii[55,21] := {15}