TII subcells for the PSp(16,R) x Spin(14,3) block of PSp16
#
cell#0 , |C| = 1
special orbit = [16]
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| = 15
special orbit = [14, 2]
special rep = [[7], [1]] , dim = 8
cell rep = phi[[7, 1],[]]+phi[[7],[1]]
TII depth = 1
TII multiplicity polynomial = 7*X^2+X
TII subcells:
  tii[59,1] := {1, 9}
  tii[59,2] := {0, 6}
  tii[59,3] := {2, 3}
  tii[59,4] := {4, 5}
  tii[59,5] := {7, 8}
  tii[59,6] := {10, 11}
  tii[59,7] := {12, 13}
  tii[59,8] := {14}

cell#2 , |C| = 15
special orbit = [14, 2]
special rep = [[7], [1]] , dim = 8
cell rep = phi[[7, 1],[]]+phi[[7],[1]]
TII depth = 1
TII multiplicity polynomial = 7*X^2+X
TII subcells:
  tii[59,1] := {0, 14}
  tii[59,2] := {1, 13}
  tii[59,3] := {2, 12}
  tii[59,4] := {3, 11}
  tii[59,5] := {4, 10}
  tii[59,6] := {5, 9}
  tii[59,7] := {6, 8}
  tii[59,8] := {7}

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

cell#4 , |C| = 36
special orbit = [12, 4]
special rep = [[6], [2]] , dim = 28
cell rep = phi[[6],[2]]+phi[[1],[7]]
TII depth = 1
TII multiplicity polynomial = 20*X+8*X^2
TII subcells:
  tii[58,1] := {2}
  tii[58,2] := {7}
  tii[58,3] := {15}
  tii[58,4] := {23}
  tii[58,5] := {29}
  tii[58,6] := {32, 33}
  tii[58,7] := {34, 35}
  tii[58,8] := {0}
  tii[58,9] := {1}
  tii[58,10] := {3}
  tii[58,11] := {5}
  tii[58,12] := {8}
  tii[58,13] := {11, 12}
  tii[58,14] := {4}
  tii[58,15] := {6}
  tii[58,16] := {9}
  tii[58,17] := {13}
  tii[58,18] := {16, 17}
  tii[58,19] := {10}
  tii[58,20] := {14}
  tii[58,21] := {18}
  tii[58,22] := {20, 21}
  tii[58,23] := {19}
  tii[58,24] := {22}
  tii[58,25] := {24, 25}
  tii[58,26] := {26}
  tii[58,27] := {27, 28}
  tii[58,28] := {30, 31}

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

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

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

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

cell#9 , |C| = 260
special orbit = [10, 2, 2, 2]
special rep = [[5, 1], [1, 1]] , dim = 140
cell rep = phi[[5, 1, 1],[1]]+phi[[5, 1],[1, 1]]
TII depth = 5
TII multiplicity polynomial = 120*X^2+20*X
TII subcells:
  tii[52,1] := {6, 214}
  tii[52,2] := {24, 211}
  tii[52,3] := {56, 207}
  tii[52,4] := {99, 202}
  tii[52,5] := {138, 199}
  tii[52,6] := {14, 222}
  tii[52,7] := {41, 235}
  tii[52,8] := {18, 195}
  tii[52,9] := {79, 232}
  tii[52,10] := {32, 187}
  tii[52,11] := {127, 228}
  tii[52,12] := {47, 153}
  tii[52,13] := {170, 225}
  tii[52,14] := {64, 123}
  tii[52,15] := {93}
  tii[52,16] := {60, 240}
  tii[52,17] := {105, 247}
  tii[52,18] := {71, 221}
  tii[52,19] := {157, 244}
  tii[52,20] := {90, 213}
  tii[52,21] := {200, 243}
  tii[52,22] := {111, 181}
  tii[52,23] := {145}
  tii[52,24] := {131, 251}
  tii[52,25] := {189, 254}
  tii[52,26] := {139, 239}
  tii[52,27] := {226, 253}
  tii[52,28] := {169, 234}
  tii[52,29] := {205}
  tii[52,30] := {216, 257}
  tii[52,31] := {242, 258}
  tii[52,32] := {223, 250}
  tii[52,33] := {246}
  tii[52,34] := {252, 259}
  tii[52,35] := {256}
  tii[52,36] := {0, 3}
  tii[52,37] := {1, 188}
  tii[52,38] := {2, 9}
  tii[52,39] := {4, 155}
  tii[52,40] := {5, 17}
  tii[52,41] := {10, 126}
  tii[52,42] := {11, 29}
  tii[52,43] := {20, 97}
  tii[52,44] := {21, 44}
  tii[52,45] := {34, 70}
  tii[52,46] := {7, 19}
  tii[52,47] := {8, 165}
  tii[52,48] := {16, 156}
  tii[52,49] := {13, 31}
  tii[52,50] := {12, 186}
  tii[52,51] := {28, 125}
  tii[52,52] := {23, 46}
  tii[52,53] := {22, 152}
  tii[52,54] := {43, 96}
  tii[52,55] := {36, 63}
  tii[52,56] := {35, 122}
  tii[52,57] := {69}
  tii[52,58] := {51, 92}
  tii[52,59] := {25, 48}
  tii[52,60] := {30, 164}
  tii[52,61] := {38, 66}
  tii[52,62] := {45, 154}
  tii[52,63] := {37, 183}
  tii[52,64] := {62, 121}
  tii[52,65] := {53, 84}
  tii[52,66] := {52, 148}
  tii[52,67] := {91}
  tii[52,68] := {73, 117}
  tii[52,69] := {57, 87}
  tii[52,70] := {65, 163}
  tii[52,71] := {76, 108}
  tii[52,72] := {83, 151}
  tii[52,73] := {75, 179}
  tii[52,74] := {116}
  tii[52,75] := {95, 142}
  tii[52,76] := {100, 133}
  tii[52,77] := {107, 162}
  tii[52,78] := {146}
  tii[52,79] := {115, 173}
  tii[52,80] := {161}
  tii[52,81] := {15, 33}
  tii[52,82] := {26, 215}
  tii[52,83] := {27, 50}
  tii[52,84] := {39, 184}
  tii[52,85] := {40, 68}
  tii[52,86] := {54, 150}
  tii[52,87] := {55, 86}
  tii[52,88] := {74, 119}
  tii[52,89] := {42, 72}
  tii[52,90] := {49, 194}
  tii[52,91] := {59, 89}
  tii[52,92] := {58, 212}
  tii[52,93] := {67, 185}
  tii[52,94] := {77, 180}
  tii[52,95] := {78, 110}
  tii[52,96] := {85, 149}
  tii[52,97] := {98, 144}
  tii[52,98] := {118}
  tii[52,99] := {80, 112}
  tii[52,100] := {88, 193}
  tii[52,101] := {102, 135}
  tii[52,102] := {109, 182}
  tii[52,103] := {101, 208}
  tii[52,104] := {143}
  tii[52,105] := {120, 174}
  tii[52,106] := {128, 166}
  tii[52,107] := {134, 192}
  tii[52,108] := {177}
  tii[52,109] := {141, 203}
  tii[52,110] := {191}
  tii[52,111] := {61, 94}
  tii[52,112] := {81, 236}
  tii[52,113] := {82, 114}
  tii[52,114] := {103, 209}
  tii[52,115] := {104, 137}
  tii[52,116] := {124, 176}
  tii[52,117] := {106, 140}
  tii[52,118] := {113, 220}
  tii[52,119] := {130, 168}
  tii[52,120] := {129, 233}
  tii[52,121] := {136, 210}
  tii[52,122] := {147, 204}
  tii[52,123] := {175}
  tii[52,124] := {158, 196}
  tii[52,125] := {167, 219}
  tii[52,126] := {206}
  tii[52,127] := {172, 229}
  tii[52,128] := {218}
  tii[52,129] := {132, 171}
  tii[52,130] := {159, 248}
  tii[52,131] := {160, 198}
  tii[52,132] := {178, 230}
  tii[52,133] := {190, 224}
  tii[52,134] := {197, 238}
  tii[52,135] := {201, 245}
  tii[52,136] := {231}
  tii[52,137] := {237}
  tii[52,138] := {217, 241}
  tii[52,139] := {227, 255}
  tii[52,140] := {249}

cell#10 , |C| = 35
special orbit = [12, 2, 1, 1]
special rep = [[6], [1, 1]] , dim = 28
cell rep = phi[[6],[1, 1]]+phi[[],[7, 1]]
TII depth = 1
TII multiplicity polynomial = 21*X+7*X^2
TII subcells:
  tii[56,1] := {2}
  tii[56,2] := {10}
  tii[56,3] := {15}
  tii[56,4] := {21}
  tii[56,5] := {26}
  tii[56,6] := {30}
  tii[56,7] := {33, 34}
  tii[56,8] := {7}
  tii[56,9] := {14}
  tii[56,10] := {20}
  tii[56,11] := {25}
  tii[56,12] := {29}
  tii[56,13] := {31, 32}
  tii[56,14] := {6}
  tii[56,15] := {13}
  tii[56,16] := {19}
  tii[56,17] := {24}
  tii[56,18] := {27, 28}
  tii[56,19] := {5}
  tii[56,20] := {12}
  tii[56,21] := {18}
  tii[56,22] := {22, 23}
  tii[56,23] := {4}
  tii[56,24] := {11}
  tii[56,25] := {16, 17}
  tii[56,26] := {3}
  tii[56,27] := {8, 9}
  tii[56,28] := {0, 1}

cell#11 , |C| = 77
special orbit = [10, 2, 1, 1, 1, 1]
special rep = [[5], [1, 1, 1]] , dim = 56
cell rep = phi[[5],[1, 1, 1]]+phi[[],[6, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 35*X+21*X^2
TII subcells:
  tii[51,1] := {2}
  tii[51,2] := {10}
  tii[51,3] := {21}
  tii[51,4] := {37}
  tii[51,5] := {54}
  tii[51,6] := {74, 76}
  tii[51,7] := {6}
  tii[51,8] := {18}
  tii[51,9] := {33}
  tii[51,10] := {49}
  tii[51,11] := {63, 64}
  tii[51,12] := {5}
  tii[51,13] := {16}
  tii[51,14] := {30}
  tii[51,15] := {44, 45}
  tii[51,16] := {4}
  tii[51,17] := {14}
  tii[51,18] := {26, 27}
  tii[51,19] := {3}
  tii[51,20] := {11, 12}
  tii[51,21] := {0, 1}
  tii[51,22] := {9}
  tii[51,23] := {20}
  tii[51,24] := {36}
  tii[51,25] := {53}
  tii[51,26] := {72, 75}
  tii[51,27] := {17}
  tii[51,28] := {32}
  tii[51,29] := {48}
  tii[51,30] := {61, 62}
  tii[51,31] := {15}
  tii[51,32] := {29}
  tii[51,33] := {42, 43}
  tii[51,34] := {13}
  tii[51,35] := {24, 25}
  tii[51,36] := {7, 8}
  tii[51,37] := {19}
  tii[51,38] := {35}
  tii[51,39] := {52}
  tii[51,40] := {70, 73}
  tii[51,41] := {31}
  tii[51,42] := {47}
  tii[51,43] := {59, 60}
  tii[51,44] := {28}
  tii[51,45] := {40, 41}
  tii[51,46] := {22, 23}
  tii[51,47] := {34}
  tii[51,48] := {51}
  tii[51,49] := {68, 71}
  tii[51,50] := {46}
  tii[51,51] := {57, 58}
  tii[51,52] := {38, 39}
  tii[51,53] := {50}
  tii[51,54] := {66, 69}
  tii[51,55] := {55, 56}
  tii[51,56] := {65, 67}