TII subcells for the PSp(14,R) x Spin(12,3) block of PSp14
#
cell#0 , |C| = 1
special orbit = [14]
special rep = [[7], []] , dim = 1
cell rep = phi[[7],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[40,1] := {0}

cell#1 , |C| = 13
special orbit = [12, 2]
special rep = [[6], [1]] , dim = 7
cell rep = phi[[6, 1],[]]+phi[[6],[1]]
TII depth = 1
TII multiplicity polynomial = 6*X^2+X
TII subcells:
  tii[39,1] := {1, 9}
  tii[39,2] := {0, 6}
  tii[39,3] := {2, 3}
  tii[39,4] := {4, 5}
  tii[39,5] := {7, 8}
  tii[39,6] := {10, 11}
  tii[39,7] := {12}

cell#2 , |C| = 13
special orbit = [12, 2]
special rep = [[6], [1]] , dim = 7
cell rep = phi[[6, 1],[]]+phi[[6],[1]]
TII depth = 1
TII multiplicity polynomial = 6*X^2+X
TII subcells:
  tii[39,1] := {0, 12}
  tii[39,2] := {1, 11}
  tii[39,3] := {2, 10}
  tii[39,4] := {3, 9}
  tii[39,5] := {4, 8}
  tii[39,6] := {5, 7}
  tii[39,7] := {6}

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

cell#4 , |C| = 28
special orbit = [10, 4]
special rep = [[5], [2]] , dim = 21
cell rep = phi[[5],[2]]+phi[[1],[6]]
TII depth = 1
TII multiplicity polynomial = 7*X^2+14*X
TII subcells:
  tii[38,1] := {2}
  tii[38,2] := {7}
  tii[38,3] := {15}
  tii[38,4] := {21}
  tii[38,5] := {24, 25}
  tii[38,6] := {26, 27}
  tii[38,7] := {0}
  tii[38,8] := {1}
  tii[38,9] := {3}
  tii[38,10] := {5}
  tii[38,11] := {8, 9}
  tii[38,12] := {4}
  tii[38,13] := {6}
  tii[38,14] := {10}
  tii[38,15] := {12, 13}
  tii[38,16] := {11}
  tii[38,17] := {14}
  tii[38,18] := {16, 17}
  tii[38,19] := {18}
  tii[38,20] := {19, 20}
  tii[38,21] := {22, 23}

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

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

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

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

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

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

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