TII subcells for the PSO(10,4) x Spin(9,5) block of PSO14
#
cell#0 , |C| = 15
special orbit = [9, 1, 1, 1, 1, 1]
special rep = [[], [5, 1, 1]] , dim = 15
cell rep = phi[[],[5, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 15*X
TII subcells:
  tii[30,1] := {0}
  tii[30,2] := {4}
  tii[30,3] := {1}
  tii[30,4] := {5}
  tii[30,5] := {8}
  tii[30,6] := {3}
  tii[30,7] := {7}
  tii[30,8] := {2}
  tii[30,9] := {6}
  tii[30,10] := {9}
  tii[30,11] := {10}
  tii[30,12] := {12}
  tii[30,13] := {11}
  tii[30,14] := {13}
  tii[30,15] := {14}

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

cell#2 , |C| = 20
special orbit = [7, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [4, 1, 1, 1]] , dim = 20
cell rep = phi[[],[4, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 20*X
TII subcells:
  tii[24,1] := {9}
  tii[24,2] := {4}
  tii[24,3] := {8}
  tii[24,4] := {1}
  tii[24,5] := {3}
  tii[24,6] := {7}
  tii[24,7] := {0}
  tii[24,8] := {2}
  tii[24,9] := {5}
  tii[24,10] := {11}
  tii[24,11] := {14}
  tii[24,12] := {10}
  tii[24,13] := {13}
  tii[24,14] := {17}
  tii[24,15] := {6}
  tii[24,16] := {12}
  tii[24,17] := {15}
  tii[24,18] := {16}
  tii[24,19] := {18}
  tii[24,20] := {19}

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

cell#4 , |C| = 20
special orbit = [7, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [4, 1, 1, 1]] , dim = 20
cell rep = phi[[],[4, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 20*X
TII subcells:
  tii[24,1] := {4}
  tii[24,2] := {10}
  tii[24,3] := {5}
  tii[24,4] := {17}
  tii[24,5] := {9}
  tii[24,6] := {6}
  tii[24,7] := {11}
  tii[24,8] := {3}
  tii[24,9] := {1}
  tii[24,10] := {0}
  tii[24,11] := {15}
  tii[24,12] := {18}
  tii[24,13] := {16}
  tii[24,14] := {19}
  tii[24,15] := {12}
  tii[24,16] := {8}
  tii[24,17] := {14}
  tii[24,18] := {2}
  tii[24,19] := {7}
  tii[24,20] := {13}

cell#5 , |C| = 20
special orbit = [7, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [4, 1, 1, 1]] , dim = 20
cell rep = phi[[],[4, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 20*X
TII subcells:
  tii[24,1] := {0}
  tii[24,2] := {2}
  tii[24,3] := {4}
  tii[24,4] := {5}
  tii[24,5] := {8}
  tii[24,6] := {13}
  tii[24,7] := {1}
  tii[24,8] := {3}
  tii[24,9] := {7}
  tii[24,10] := {6}
  tii[24,11] := {10}
  tii[24,12] := {15}
  tii[24,13] := {18}
  tii[24,14] := {19}
  tii[24,15] := {9}
  tii[24,16] := {14}
  tii[24,17] := {17}
  tii[24,18] := {12}
  tii[24,19] := {16}
  tii[24,20] := {11}

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

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

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

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

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

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

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

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