TII subcells for the Spin(9,7) x PSO(13,3) block of Spin16
#
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| = 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] := {1}
  tii[58,2] := {0}
  tii[58,3] := {2}
  tii[58,4] := {3}
  tii[58,5] := {4}
  tii[58,6] := {5}
  tii[58,7] := {6}

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] := {4}
  tii[58,2] := {2}
  tii[58,3] := {0}
  tii[58,4] := {1}
  tii[58,5] := {3}
  tii[58,6] := {5}
  tii[58,7] := {6}

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

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

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] := {3}
  tii[55,2] := {2}
  tii[55,3] := {6}
  tii[55,4] := {9}
  tii[55,5] := {11}
  tii[55,6] := {0}
  tii[55,7] := {1}
  tii[55,8] := {4}
  tii[55,9] := {7}
  tii[55,10] := {5}
  tii[55,11] := {8}
  tii[55,12] := {10}
  tii[55,13] := {12}
  tii[55,14] := {14}
  tii[55,15] := {17}
  tii[55,16] := {16}
  tii[55,17] := {13}
  tii[55,18] := {15}
  tii[55,19] := {18}
  tii[55,20] := {19}
  tii[55,21] := {20}

cell#8 , |C| = 112
special orbit = [9, 3, 3, 1]
special rep = [[1], [5, 2]] , dim = 112
cell rep = phi[[1],[5, 2]]
TII depth = 4
TII multiplicity polynomial = 112*X
TII subcells:
  tii[52,1] := {37}
  tii[52,2] := {79}
  tii[52,3] := {105}
  tii[52,4] := {111}
  tii[52,5] := {2}
  tii[52,6] := {13}
  tii[52,7] := {12}
  tii[52,8] := {34}
  tii[52,9] := {33}
  tii[52,10] := {67}
  tii[52,11] := {66}
  tii[52,12] := {7}
  tii[52,13] := {24}
  tii[52,14] := {25}
  tii[52,15] := {9}
  tii[52,16] := {51}
  tii[52,17] := {14}
  tii[52,18] := {19}
  tii[52,19] := {50}
  tii[52,20] := {82}
  tii[52,21] := {81}
  tii[52,22] := {22}
  tii[52,23] := {29}
  tii[52,24] := {46}
  tii[52,25] := {48}
  tii[52,26] := {38}
  tii[52,27] := {64}
  tii[52,28] := {65}
  tii[52,29] := {49}
  tii[52,30] := {92}
  tii[52,31] := {52}
  tii[52,32] := {91}
  tii[52,33] := {59}
  tii[52,34] := {74}
  tii[52,35] := {77}
  tii[52,36] := {80}
  tii[52,37] := {100}
  tii[52,38] := {101}
  tii[52,39] := {86}
  tii[52,40] := {96}
  tii[52,41] := {98}
  tii[52,42] := {106}
  tii[52,43] := {108}
  tii[52,44] := {109}
  tii[52,45] := {0}
  tii[52,46] := {1}
  tii[52,47] := {4}
  tii[52,48] := {3}
  tii[52,49] := {8}
  tii[52,50] := {5}
  tii[52,51] := {6}
  tii[52,52] := {10}
  tii[52,53] := {11}
  tii[52,54] := {17}
  tii[52,55] := {30}
  tii[52,56] := {31}
  tii[52,57] := {18}
  tii[52,58] := {20}
  tii[52,59] := {21}
  tii[52,60] := {28}
  tii[52,61] := {45}
  tii[52,62] := {47}
  tii[52,63] := {43}
  tii[52,64] := {60}
  tii[52,65] := {62}
  tii[52,66] := {75}
  tii[52,67] := {78}
  tii[52,68] := {85}
  tii[52,69] := {15}
  tii[52,70] := {23}
  tii[52,71] := {32}
  tii[52,72] := {36}
  tii[52,73] := {35}
  tii[52,74] := {44}
  tii[52,75] := {61}
  tii[52,76] := {63}
  tii[52,77] := {58}
  tii[52,78] := {73}
  tii[52,79] := {76}
  tii[52,80] := {88}
  tii[52,81] := {90}
  tii[52,82] := {41}
  tii[52,83] := {95}
  tii[52,84] := {53}
  tii[52,85] := {72}
  tii[52,86] := {87}
  tii[52,87] := {89}
  tii[52,88] := {97}
  tii[52,89] := {99}
  tii[52,90] := {70}
  tii[52,91] := {102}
  tii[52,92] := {103}
  tii[52,93] := {104}
  tii[52,94] := {107}
  tii[52,95] := {93}
  tii[52,96] := {110}
  tii[52,97] := {16}
  tii[52,98] := {26}
  tii[52,99] := {27}
  tii[52,100] := {39}
  tii[52,101] := {40}
  tii[52,102] := {54}
  tii[52,103] := {55}
  tii[52,104] := {42}
  tii[52,105] := {57}
  tii[52,106] := {56}
  tii[52,107] := {69}
  tii[52,108] := {68}
  tii[52,109] := {71}
  tii[52,110] := {84}
  tii[52,111] := {83}
  tii[52,112] := {94}

cell#9 , |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] := {19}
  tii[55,3] := {18}
  tii[55,4] := {10}
  tii[55,5] := {6}
  tii[55,6] := {17}
  tii[55,7] := {12}
  tii[55,8] := {7}
  tii[55,9] := {3}
  tii[55,10] := {16}
  tii[55,11] := {11}
  tii[55,12] := {5}
  tii[55,13] := {15}
  tii[55,14] := {9}
  tii[55,15] := {14}
  tii[55,16] := {2}
  tii[55,17] := {0}
  tii[55,18] := {1}
  tii[55,19] := {4}
  tii[55,20] := {8}
  tii[55,21] := {13}

cell#10 , |C| = 184
special orbit = [9, 3, 1, 1, 1, 1]
special rep = [[1], [5, 1, 1]] , dim = 120
cell rep = phi[[],[5, 2, 1]]+phi[[1],[5, 1, 1]]
TII depth = 3
TII multiplicity polynomial = 64*X^2+56*X
TII subcells:
  tii[50,1] := {4, 145}
  tii[50,2] := {18, 142}
  tii[50,3] := {41, 137}
  tii[50,4] := {80, 131}
  tii[50,5] := {11, 151}
  tii[50,6] := {32, 162}
  tii[50,7] := {7, 128}
  tii[50,8] := {57, 158}
  tii[50,9] := {15, 121}
  tii[50,10] := {105, 153}
  tii[50,11] := {24, 92}
  tii[50,12] := {47, 167}
  tii[50,13] := {77, 172}
  tii[50,14] := {38, 150}
  tii[50,15] := {130, 169}
  tii[50,16] := {54, 144}
  tii[50,17] := {103, 176}
  tii[50,18] := {152, 177}
  tii[50,19] := {96, 166}
  tii[50,20] := {168, 181}
  tii[50,21] := {1}
  tii[50,22] := {5}
  tii[50,23] := {0, 122}
  tii[50,24] := {9}
  tii[50,25] := {3, 94}
  tii[50,26] := {8, 72}
  tii[50,27] := {16}
  tii[50,28] := {30}
  tii[50,29] := {31}
  tii[50,30] := {2, 102}
  tii[50,31] := {12}
  tii[50,32] := {6, 95}
  tii[50,33] := {19}
  tii[50,34] := {10, 120}
  tii[50,35] := {13, 71}
  tii[50,36] := {17, 91}
  tii[50,37] := {27}
  tii[50,38] := {45}
  tii[50,39] := {46}
  tii[50,40] := {14, 101}
  tii[50,41] := {33}
  tii[50,42] := {23, 93}
  tii[50,43] := {28, 117}
  tii[50,44] := {42}
  tii[50,45] := {61}
  tii[50,46] := {63}
  tii[50,47] := {36, 100}
  tii[50,48] := {58}
  tii[50,49] := {81}
  tii[50,50] := {83}
  tii[50,51] := {108}
  tii[50,52] := {111}
  tii[50,53] := {140}
  tii[50,54] := {21}
  tii[50,55] := {34}
  tii[50,56] := {20, 146}
  tii[50,57] := {43}
  tii[50,58] := {29, 118}
  tii[50,59] := {62}
  tii[50,60] := {64}
  tii[50,61] := {25, 127}
  tii[50,62] := {48}
  tii[50,63] := {44, 143}
  tii[50,64] := {37, 119}
  tii[50,65] := {59}
  tii[50,66] := {82}
  tii[50,67] := {84}
  tii[50,68] := {53, 126}
  tii[50,69] := {78}
  tii[50,70] := {106}
  tii[50,71] := {109}
  tii[50,72] := {133}
  tii[50,73] := {135}
  tii[50,74] := {40, 69}
  tii[50,75] := {161}
  tii[50,76] := {65}
  tii[50,77] := {79}
  tii[50,78] := {60, 163}
  tii[50,79] := {107}
  tii[50,80] := {110}
  tii[50,81] := {73, 149}
  tii[50,82] := {104}
  tii[50,83] := {132}
  tii[50,84] := {134}
  tii[50,85] := {155}
  tii[50,86] := {157}
  tii[50,87] := {76, 115}
  tii[50,88] := {174}
  tii[50,89] := {129}
  tii[50,90] := {154}
  tii[50,91] := {156}
  tii[50,92] := {170}
  tii[50,93] := {171}
  tii[50,94] := {124, 160}
  tii[50,95] := {180}
  tii[50,96] := {178}
  tii[50,97] := {179}
  tii[50,98] := {164, 175}
  tii[50,99] := {182}
  tii[50,100] := {183}
  tii[50,101] := {22, 50}
  tii[50,102] := {26, 49}
  tii[50,103] := {35, 68}
  tii[50,104] := {39, 67}
  tii[50,105] := {51, 86}
  tii[50,106] := {55, 89}
  tii[50,107] := {66, 113}
  tii[50,108] := {74, 99}
  tii[50,109] := {52, 88}
  tii[50,110] := {56, 87}
  tii[50,111] := {70, 114}
  tii[50,112] := {75, 116}
  tii[50,113] := {85, 138}
  tii[50,114] := {97, 125}
  tii[50,115] := {90, 139}
  tii[50,116] := {98, 141}
  tii[50,117] := {112, 159}
  tii[50,118] := {123, 148}
  tii[50,119] := {136, 173}
  tii[50,120] := {147, 165}

cell#11 , |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] := {0}
  tii[55,2] := {6}
  tii[55,3] := {11}
  tii[55,4] := {15}
  tii[55,5] := {18}
  tii[55,6] := {5}
  tii[55,7] := {9}
  tii[55,8] := {13}
  tii[55,9] := {16}
  tii[55,10] := {3}
  tii[55,11] := {8}
  tii[55,12] := {12}
  tii[55,13] := {2}
  tii[55,14] := {7}
  tii[55,15] := {1}
  tii[55,16] := {20}
  tii[55,17] := {19}
  tii[55,18] := {17}
  tii[55,19] := {14}
  tii[55,20] := {10}
  tii[55,21] := {4}

cell#12 , |C| = 35
special orbit = [9, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [5, 1, 1, 1]] , dim = 35
cell rep = phi[[],[5, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 35*X
TII subcells:
  tii[49,1] := {0}
  tii[49,2] := {6}
  tii[49,3] := {15}
  tii[49,4] := {25}
  tii[49,5] := {3}
  tii[49,6] := {10}
  tii[49,7] := {18}
  tii[49,8] := {2}
  tii[49,9] := {8}
  tii[49,10] := {1}
  tii[49,11] := {5}
  tii[49,12] := {14}
  tii[49,13] := {24}
  tii[49,14] := {9}
  tii[49,15] := {17}
  tii[49,16] := {7}
  tii[49,17] := {13}
  tii[49,18] := {23}
  tii[49,19] := {16}
  tii[49,20] := {22}
  tii[49,21] := {34}
  tii[49,22] := {29}
  tii[49,23] := {21}
  tii[49,24] := {12}
  tii[49,25] := {4}
  tii[49,26] := {33}
  tii[49,27] := {28}
  tii[49,28] := {20}
  tii[49,29] := {11}
  tii[49,30] := {32}
  tii[49,31] := {27}
  tii[49,32] := {19}
  tii[49,33] := {31}
  tii[49,34] := {26}
  tii[49,35] := {30}