TII subcells for the Sp(5,2) x SO(8,7) block of Sp14
#
cell#0 , |C| = 126
special orbit = [5, 5, 1, 1, 1, 1]
special rep = [[2], [3, 1, 1]] , dim = 126
cell rep = phi[[2],[3, 1, 1]]
TII depth = 6
TII multiplicity polynomial = 126*X
TII subcells:
  tii[19,1] := {56}
  tii[19,2] := {27}
  tii[19,3] := {0}
  tii[19,4] := {77}
  tii[19,5] := {87}
  tii[19,6] := {35}
  tii[19,7] := {109}
  tii[19,8] := {17}
  tii[19,9] := {97}
  tii[19,10] := {79}
  tii[19,11] := {28}
  tii[19,12] := {102}
  tii[19,13] := {53}
  tii[19,14] := {1}
  tii[19,15] := {47}
  tii[19,16] := {72}
  tii[19,17] := {25}
  tii[19,18] := {6}
  tii[19,19] := {96}
  tii[19,20] := {105}
  tii[19,21] := {57}
  tii[19,22] := {119}
  tii[19,23] := {37}
  tii[19,24] := {111}
  tii[19,25] := {98}
  tii[19,26] := {113}
  tii[19,27] := {34}
  tii[19,28] := {115}
  tii[19,29] := {74}
  tii[19,30] := {124}
  tii[19,31] := {13}
  tii[19,32] := {106}
  tii[19,33] := {59}
  tii[19,34] := {86}
  tii[19,35] := {82}
  tii[19,36] := {120}
  tii[19,37] := {32}
  tii[19,38] := {125}
  tii[19,39] := {14}
  tii[19,40] := {121}
  tii[19,41] := {112}
  tii[19,42] := {30}
  tii[19,43] := {123}
  tii[19,44] := {94}
  tii[19,45] := {5}
  tii[19,46] := {99}
  tii[19,47] := {48}
  tii[19,48] := {73}
  tii[19,49] := {116}
  tii[19,50] := {75}
  tii[19,51] := {26}
  tii[19,52] := {122}
  tii[19,53] := {52}
  tii[19,54] := {9}
  tii[19,55] := {70}
  tii[19,56] := {93}
  tii[19,57] := {45}
  tii[19,58] := {108}
  tii[19,59] := {23}
  tii[19,60] := {12}
  tii[19,61] := {29}
  tii[19,62] := {8}
  tii[19,63] := {36}
  tii[19,64] := {68}
  tii[19,65] := {20}
  tii[19,66] := {21}
  tii[19,67] := {91}
  tii[19,68] := {46}
  tii[19,69] := {4}
  tii[19,70] := {24}
  tii[19,71] := {71}
  tii[19,72] := {49}
  tii[19,73] := {58}
  tii[19,74] := {100}
  tii[19,75] := {117}
  tii[19,76] := {40}
  tii[19,77] := {41}
  tii[19,78] := {88}
  tii[19,79] := {60}
  tii[19,80] := {66}
  tii[19,81] := {67}
  tii[19,82] := {19}
  tii[19,83] := {110}
  tii[19,84] := {83}
  tii[19,85] := {33}
  tii[19,86] := {118}
  tii[19,87] := {18}
  tii[19,88] := {62}
  tii[19,89] := {69}
  tii[19,90] := {7}
  tii[19,91] := {44}
  tii[19,92] := {92}
  tii[19,93] := {22}
  tii[19,94] := {107}
  tii[19,95] := {50}
  tii[19,96] := {89}
  tii[19,97] := {78}
  tii[19,98] := {64}
  tii[19,99] := {63}
  tii[19,100] := {81}
  tii[19,101] := {85}
  tii[19,102] := {39}
  tii[19,103] := {104}
  tii[19,104] := {54}
  tii[19,105] := {38}
  tii[19,106] := {84}
  tii[19,107] := {80}
  tii[19,108] := {95}
  tii[19,109] := {15}
  tii[19,110] := {103}
  tii[19,111] := {55}
  tii[19,112] := {65}
  tii[19,113] := {61}
  tii[19,114] := {114}
  tii[19,115] := {31}
  tii[19,116] := {16}
  tii[19,117] := {101}
  tii[19,118] := {10}
  tii[19,119] := {51}
  tii[19,120] := {90}
  tii[19,121] := {2}
  tii[19,122] := {43}
  tii[19,123] := {3}
  tii[19,124] := {76}
  tii[19,125] := {42}
  tii[19,126] := {11}

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

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

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

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

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

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

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

cell#8 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1, 1, 1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}