TII subcells for the PSO(8,6) x Spin(11,3) block of PSO14
#
cell#0 , |C| = 1
special orbit = [13, 1]
special rep = [[], [7]] , dim = 1
cell rep = phi[[],[7]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[35,1] := {0}

cell#1 , |C| = 6
special orbit = [11, 1, 1, 1]
special rep = [[], [6, 1]] , dim = 6
cell rep = phi[[],[6, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X
TII subcells:
  tii[33,1] := {1}
  tii[33,2] := {0}
  tii[33,3] := {2}
  tii[33,4] := {3}
  tii[33,5] := {4}
  tii[33,6] := {5}

cell#2 , |C| = 7
special orbit = [11, 3]
special rep = [[1], [6]] , dim = 7
cell rep = phi[[1],[6]]
TII depth = 1
TII multiplicity polynomial = 7*X
TII subcells:
  tii[34,1] := {0}
  tii[34,2] := {1}
  tii[34,3] := {2}
  tii[34,4] := {3}
  tii[34,5] := {4}
  tii[34,6] := {5}
  tii[34,7] := {6}

cell#3 , |C| = 6
special orbit = [11, 1, 1, 1]
special rep = [[], [6, 1]] , dim = 6
cell rep = phi[[],[6, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X
TII subcells:
  tii[33,1] := {4}
  tii[33,2] := {2}
  tii[33,3] := {0}
  tii[33,4] := {1}
  tii[33,5] := {3}
  tii[33,6] := {5}

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

cell#5 , |C| = 6
special orbit = [11, 1, 1, 1]
special rep = [[], [6, 1]] , dim = 6
cell rep = phi[[],[6, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X
TII subcells:
  tii[33,1] := {5}
  tii[33,2] := {4}
  tii[33,3] := {3}
  tii[33,4] := {2}
  tii[33,5] := {1}
  tii[33,6] := {0}

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

cell#7 , |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] := {3}
  tii[30,2] := {2}
  tii[30,3] := {6}
  tii[30,4] := {8}
  tii[30,5] := {0}
  tii[30,6] := {1}
  tii[30,7] := {4}
  tii[30,8] := {5}
  tii[30,9] := {7}
  tii[30,10] := {10}
  tii[30,11] := {12}
  tii[30,12] := {9}
  tii[30,13] := {11}
  tii[30,14] := {13}
  tii[30,15] := {14}

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

cell#9 , |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] := {14}
  tii[30,2] := {13}
  tii[30,3] := {12}
  tii[30,4] := {5}
  tii[30,5] := {11}
  tii[30,6] := {7}
  tii[30,7] := {3}
  tii[30,8] := {10}
  tii[30,9] := {6}
  tii[30,10] := {9}
  tii[30,11] := {2}
  tii[30,12] := {0}
  tii[30,13] := {1}
  tii[30,14] := {4}
  tii[30,15] := {8}

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

cell#11 , |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] := {5}
  tii[30,3] := {9}
  tii[30,4] := {12}
  tii[30,5] := {3}
  tii[30,6] := {7}
  tii[30,7] := {10}
  tii[30,8] := {2}
  tii[30,9] := {6}
  tii[30,10] := {1}
  tii[30,11] := {14}
  tii[30,12] := {13}
  tii[30,13] := {11}
  tii[30,14] := {8}
  tii[30,15] := {4}

cell#12 , |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] := {5}
  tii[24,3] := {12}
  tii[24,4] := {2}
  tii[24,5] := {7}
  tii[24,6] := {1}
  tii[24,7] := {4}
  tii[24,8] := {11}
  tii[24,9] := {6}
  tii[24,10] := {10}
  tii[24,11] := {19}
  tii[24,12] := {15}
  tii[24,13] := {9}
  tii[24,14] := {3}
  tii[24,15] := {18}
  tii[24,16] := {14}
  tii[24,17] := {8}
  tii[24,18] := {17}
  tii[24,19] := {13}
  tii[24,20] := {16}