TII subcells for the PGL(9,R) x SU(7,2) block of PGL9
#
cell#0 , |C| = 1
special orbit = [9]
special rep = [9] , dim = 1
cell rep = phi[9]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[30,1] := {0}

cell#1 , |C| = 8
special orbit = [8, 1]
special rep = [8, 1] , dim = 8
cell rep = phi[8,1]
TII depth = 1
TII multiplicity polynomial = 8*X
TII subcells:
  tii[29,1] := {7}
  tii[29,2] := {6}
  tii[29,3] := {5}
  tii[29,4] := {4}
  tii[29,5] := {3}
  tii[29,6] := {1}
  tii[29,7] := {0}
  tii[29,8] := {2}

cell#2 , |C| = 8
special orbit = [8, 1]
special rep = [8, 1] , dim = 8
cell rep = phi[8,1]
TII depth = 1
TII multiplicity polynomial = 8*X
TII subcells:
  tii[29,1] := {2}
  tii[29,2] := {0}
  tii[29,3] := {1}
  tii[29,4] := {3}
  tii[29,5] := {4}
  tii[29,6] := {5}
  tii[29,7] := {6}
  tii[29,8] := {7}

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

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

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

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

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

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

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

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

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

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

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