TII subcells for the SO(9,4) x Sp(12,R) block of SO13
#
cell#0 , |C| = 20
special orbit = [9, 1, 1, 1, 1]
special rep = [[4], [1, 1]] , dim = 15
cell rep = phi[[4],[1, 1]]+phi[[],[5, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X+5*X^2
TII subcells:
  tii[22,1] := {0}
  tii[22,2] := {8}
  tii[22,3] := {1}
  tii[22,4] := {10}
  tii[22,5] := {3, 15}
  tii[22,6] := {13}
  tii[22,7] := {6}
  tii[22,8] := {12}
  tii[22,9] := {7, 17}
  tii[22,10] := {2}
  tii[22,11] := {11}
  tii[22,12] := {4, 16}
  tii[22,13] := {14}
  tii[22,14] := {9, 18}
  tii[22,15] := {5, 19}

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

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

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

cell#4 , |C| = 185
special orbit = [5, 3, 3, 1, 1]
special rep = [[2, 1], [2, 1]] , dim = 80
cell rep = phi[[2, 1],[2, 1]]+phi[[1, 1],[3, 1]]+phi[[2],[2, 2]]+phi[[1],[3, 2]]
TII depth = 3
TII multiplicity polynomial = 25*X+30*X^2+25*X^4
TII subcells:
  tii[13,1] := {74}
  tii[13,2] := {98, 99}
  tii[13,3] := {125, 126}
  tii[13,4] := {107}
  tii[13,5] := {97}
  tii[13,6] := {128, 129}
  tii[13,7] := {111, 112, 164, 165}
  tii[13,8] := {146, 147, 177, 178}
  tii[13,9] := {138}
  tii[13,10] := {155, 156}
  tii[13,11] := {154}
  tii[13,12] := {109, 110, 174, 175}
  tii[13,13] := {139, 176}
  tii[13,14] := {144, 145, 183, 184}
  tii[13,15] := {172, 173}
  tii[13,16] := {179, 180, 181, 182}
  tii[13,17] := {1}
  tii[13,18] := {29}
  tii[13,19] := {8, 9}
  tii[13,20] := {26, 27}
  tii[13,21] := {6}
  tii[13,22] := {90, 91}
  tii[13,23] := {49}
  tii[13,24] := {15}
  tii[13,25] := {64}
  tii[13,26] := {78, 79, 140, 141}
  tii[13,27] := {62, 63}
  tii[13,28] := {20, 21}
  tii[13,29] := {30}
  tii[13,30] := {115, 116, 162, 163}
  tii[13,31] := {42, 43, 88, 89}
  tii[13,32] := {45, 46}
  tii[13,33] := {36, 37}
  tii[13,34] := {52, 53, 130, 131}
  tii[13,35] := {94}
  tii[13,36] := {31, 32, 100, 101}
  tii[13,37] := {68, 69}
  tii[13,38] := {75, 136}
  tii[13,39] := {86, 87, 152, 153}
  tii[13,40] := {121, 122, 123, 124}
  tii[13,41] := {14}
  tii[13,42] := {95, 96}
  tii[13,43] := {76}
  tii[13,44] := {28}
  tii[13,45] := {38, 39}
  tii[13,46] := {65, 66, 119, 120}
  tii[13,47] := {51}
  tii[13,48] := {70, 71}
  tii[13,49] := {127}
  tii[13,50] := {35}
  tii[13,51] := {60, 61}
  tii[13,52] := {80, 81, 157, 158}
  tii[13,53] := {82, 83, 142, 143}
  tii[13,54] := {108, 161}
  tii[13,55] := {102, 103}
  tii[13,56] := {67}
  tii[13,57] := {56, 57, 132, 133}
  tii[13,58] := {117, 118, 170, 171}
  tii[13,59] := {77, 137}
  tii[13,60] := {148, 149, 150, 151}
  tii[13,61] := {92, 93}
  tii[13,62] := {84, 85, 159, 160}
  tii[13,63] := {134, 135}
  tii[13,64] := {166, 167, 168, 169}
  tii[13,65] := {0}
  tii[13,66] := {2, 3}
  tii[13,67] := {7}
  tii[13,68] := {40, 41}
  tii[13,69] := {4, 5}
  tii[13,70] := {24, 25, 58, 59}
  tii[13,71] := {16}
  tii[13,72] := {12, 13, 47, 48}
  tii[13,73] := {19}
  tii[13,74] := {54, 55, 113, 114}
  tii[13,75] := {10, 11}
  tii[13,76] := {44}
  tii[13,77] := {17, 18, 72, 73}
  tii[13,78] := {50, 106}
  tii[13,79] := {22, 23}
  tii[13,80] := {33, 34, 104, 105}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cell#34 , |C| = 11
special orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[1], [1, 1, 1, 1, 1]] , dim = 6
cell rep = phi[[1],[1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[2,1] := {5}
  tii[2,2] := {4, 6}
  tii[2,3] := {3, 7}
  tii[2,4] := {2, 8}
  tii[2,5] := {1, 10}
  tii[2,6] := {0, 9}

cell#35 , |C| = 11
special orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[1], [1, 1, 1, 1, 1]] , dim = 6
cell rep = phi[[1],[1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[2,1] := {5}
  tii[2,2] := {4, 6}
  tii[2,3] := {3, 7}
  tii[2,4] := {2, 8}
  tii[2,5] := {1, 10}
  tii[2,6] := {0, 9}

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

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

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

cell#39 , |C| = 24
special orbit = [3, 3, 1, 1, 1, 1, 1, 1, 1]
special rep = [[1], [2, 1, 1, 1]] , dim = 24
cell rep = phi[[1],[2, 1, 1, 1]]
TII depth = 4
TII multiplicity polynomial = 24*X
TII subcells:
  tii[5,1] := {6}
  tii[5,2] := {11}
  tii[5,3] := {10}
  tii[5,4] := {5}
  tii[5,5] := {14}
  tii[5,6] := {16}
  tii[5,7] := {13}
  tii[5,8] := {9}
  tii[5,9] := {17}
  tii[5,10] := {4}
  tii[5,11] := {18}
  tii[5,12] := {20}
  tii[5,13] := {15}
  tii[5,14] := {12}
  tii[5,15] := {19}
  tii[5,16] := {8}
  tii[5,17] := {21}
  tii[5,18] := {7}
  tii[5,19] := {22}
  tii[5,20] := {23}
  tii[5,21] := {2}
  tii[5,22] := {1}
  tii[5,23] := {0}
  tii[5,24] := {3}

cell#40 , |C| = 24
special orbit = [3, 2, 2, 1, 1, 1, 1, 1, 1]
special rep = [[1, 1], [1, 1, 1, 1]] , dim = 15
cell rep = phi[[1, 1],[1, 1, 1, 1]]+phi[[],[2, 2, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X+9*X^2
TII subcells:
  tii[3,1] := {2}
  tii[3,2] := {5}
  tii[3,3] := {6, 7}
  tii[3,4] := {8}
  tii[3,5] := {13, 14}
  tii[3,6] := {18, 19}
  tii[3,7] := {10}
  tii[3,8] := {16, 17}
  tii[3,9] := {20, 21}
  tii[3,10] := {15, 23}
  tii[3,11] := {0}
  tii[3,12] := {1}
  tii[3,13] := {3, 4}
  tii[3,14] := {11, 12}
  tii[3,15] := {9, 22}

cell#41 , |C| = 24
special orbit = [3, 2, 2, 1, 1, 1, 1, 1, 1]
special rep = [[1, 1], [1, 1, 1, 1]] , dim = 15
cell rep = phi[[1, 1],[1, 1, 1, 1]]+phi[[],[2, 2, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X+9*X^2
TII subcells:
  tii[3,1] := {2}
  tii[3,2] := {5}
  tii[3,3] := {6, 7}
  tii[3,4] := {8}
  tii[3,5] := {13, 14}
  tii[3,6] := {18, 19}
  tii[3,7] := {10}
  tii[3,8] := {16, 17}
  tii[3,9] := {20, 21}
  tii[3,10] := {15, 23}
  tii[3,11] := {0}
  tii[3,12] := {1}
  tii[3,13] := {3, 4}
  tii[3,14] := {11, 12}
  tii[3,15] := {9, 22}

cell#42 , |C| = 11
special orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[1], [1, 1, 1, 1, 1]] , dim = 6
cell rep = phi[[1],[1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[2,1] := {2}
  tii[2,2] := {4, 5}
  tii[2,3] := {6, 7}
  tii[2,4] := {3, 9}
  tii[2,5] := {1, 8}
  tii[2,6] := {0, 10}

cell#43 , |C| = 11
special orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[1], [1, 1, 1, 1, 1]] , dim = 6
cell rep = phi[[1],[1, 1, 1, 1, 1]]+phi[[],[2, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[2,1] := {2}
  tii[2,2] := {4, 5}
  tii[2,3] := {6, 7}
  tii[2,4] := {3, 9}
  tii[2,5] := {1, 8}
  tii[2,6] := {0, 10}

cell#44 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1, 1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}

cell#45 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1, 1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}