TII subcells for the E6ad(D5xR) x E6sc(R) block of E6ad
#
cell#0 , |C| = 81
special orbit = A4
special rep = phi[81,6] , dim = 81
cell rep = phi[81,6]
TII depth = 3
TII multiplicity polynomial = 81*X
TII subcells:
  tii[10,1] := {44}
  tii[10,2] := {0}
  tii[10,3] := {8}
  tii[10,4] := {61}
  tii[10,5] := {18}
  tii[10,6] := {19}
  tii[10,7] := {65}
  tii[10,8] := {43}
  tii[10,9] := {77}
  tii[10,10] := {22}
  tii[10,11] := {60}
  tii[10,12] := {1}
  tii[10,13] := {75}
  tii[10,14] := {16}
  tii[10,15] := {6}
  tii[10,16] := {39}
  tii[10,17] := {68}
  tii[10,18] := {38}
  tii[10,19] := {57}
  tii[10,20] := {53}
  tii[10,21] := {59}
  tii[10,22] := {52}
  tii[10,23] := {62}
  tii[10,24] := {47}
  tii[10,25] := {37}
  tii[10,26] := {66}
  tii[10,27] := {36}
  tii[10,28] := {56}
  tii[10,29] := {20}
  tii[10,30] := {21}
  tii[10,31] := {11}
  tii[10,32] := {41}
  tii[10,33] := {72}
  tii[10,34] := {25}
  tii[10,35] := {4}
  tii[10,36] := {79}
  tii[10,37] := {31}
  tii[10,38] := {15}
  tii[10,39] := {80}
  tii[10,40] := {12}
  tii[10,41] := {26}
  tii[10,42] := {54}
  tii[10,43] := {2}
  tii[10,44] := {64}
  tii[10,45] := {73}
  tii[10,46] := {14}
  tii[10,47] := {48}
  tii[10,48] := {71}
  tii[10,49] := {35}
  tii[10,50] := {55}
  tii[10,51] := {50}
  tii[10,52] := {28}
  tii[10,53] := {32}
  tii[10,54] := {78}
  tii[10,55] := {74}
  tii[10,56] := {27}
  tii[10,57] := {5}
  tii[10,58] := {24}
  tii[10,59] := {17}
  tii[10,60] := {30}
  tii[10,61] := {70}
  tii[10,62] := {9}
  tii[10,63] := {76}
  tii[10,64] := {29}
  tii[10,65] := {23}
  tii[10,66] := {7}
  tii[10,67] := {69}
  tii[10,68] := {13}
  tii[10,69] := {34}
  tii[10,70] := {58}
  tii[10,71] := {46}
  tii[10,72] := {67}
  tii[10,73] := {40}
  tii[10,74] := {10}
  tii[10,75] := {63}
  tii[10,76] := {51}
  tii[10,77] := {49}
  tii[10,78] := {42}
  tii[10,79] := {3}
  tii[10,80] := {33}
  tii[10,81] := {45}

cell#1 , |C| = 81
special orbit = A3
special rep = phi[81,10] , dim = 81
cell rep = phi[81,10]
TII depth = 3
TII multiplicity polynomial = 81*X
TII subcells:
  tii[8,1] := {24}
  tii[8,2] := {39}
  tii[8,3] := {67}
  tii[8,4] := {66}
  tii[8,5] := {75}
  tii[8,6] := {12}
  tii[8,7] := {21}
  tii[8,8] := {22}
  tii[8,9] := {33}
  tii[8,10] := {40}
  tii[8,11] := {32}
  tii[8,12] := {46}
  tii[8,13] := {1}
  tii[8,14] := {7}
  tii[8,15] := {8}
  tii[8,16] := {3}
  tii[8,17] := {73}
  tii[8,18] := {52}
  tii[8,19] := {19}
  tii[8,20] := {18}
  tii[8,21] := {27}
  tii[8,22] := {9}
  tii[8,23] := {78}
  tii[8,24] := {38}
  tii[8,25] := {80}
  tii[8,26] := {34}
  tii[8,27] := {35}
  tii[8,28] := {58}
  tii[8,29] := {57}
  tii[8,30] := {50}
  tii[8,31] := {48}
  tii[8,32] := {49}
  tii[8,33] := {69}
  tii[8,34] := {62}
  tii[8,35] := {63}
  tii[8,36] := {61}
  tii[8,37] := {60}
  tii[8,38] := {72}
  tii[8,39] := {71}
  tii[8,40] := {77}
  tii[8,41] := {30}
  tii[8,42] := {59}
  tii[8,43] := {29}
  tii[8,44] := {20}
  tii[8,45] := {54}
  tii[8,46] := {70}
  tii[8,47] := {43}
  tii[8,48] := {53}
  tii[8,49] := {76}
  tii[8,50] := {79}
  tii[8,51] := {51}
  tii[8,52] := {65}
  tii[8,53] := {11}
  tii[8,54] := {15}
  tii[8,55] := {74}
  tii[8,56] := {14}
  tii[8,57] := {13}
  tii[8,58] := {41}
  tii[8,59] := {31}
  tii[8,60] := {23}
  tii[8,61] := {45}
  tii[8,62] := {26}
  tii[8,63] := {56}
  tii[8,64] := {4}
  tii[8,65] := {47}
  tii[8,66] := {55}
  tii[8,67] := {0}
  tii[8,68] := {2}
  tii[8,69] := {6}
  tii[8,70] := {16}
  tii[8,71] := {17}
  tii[8,72] := {37}
  tii[8,73] := {28}
  tii[8,74] := {36}
  tii[8,75] := {42}
  tii[8,76] := {10}
  tii[8,77] := {64}
  tii[8,78] := {68}
  tii[8,79] := {5}
  tii[8,80] := {44}
  tii[8,81] := {25}

cell#2 , |C| = 24
special orbit = 2*A2
special rep = phi[24,12] , dim = 24
cell rep = phi[24,12]
TII depth = 2
TII multiplicity polynomial = 24*X
TII subcells:
  tii[6,1] := {23}
  tii[6,2] := {21}
  tii[6,3] := {9}
  tii[6,4] := {15}
  tii[6,5] := {17}
  tii[6,6] := {14}
  tii[6,7] := {22}
  tii[6,8] := {20}
  tii[6,9] := {19}
  tii[6,10] := {16}
  tii[6,11] := {13}
  tii[6,12] := {8}
  tii[6,13] := {5}
  tii[6,14] := {7}
  tii[6,15] := {2}
  tii[6,16] := {18}
  tii[6,17] := {3}
  tii[6,18] := {6}
  tii[6,19] := {11}
  tii[6,20] := {10}
  tii[6,21] := {0}
  tii[6,22] := {1}
  tii[6,23] := {4}
  tii[6,24] := {12}

cell#3 , |C| = 81
special orbit = A3
special rep = phi[81,10] , dim = 81
cell rep = phi[81,10]
TII depth = 3
TII multiplicity polynomial = 81*X
TII subcells:
  tii[8,1] := {75}
  tii[8,2] := {66}
  tii[8,3] := {67}
  tii[8,4] := {37}
  tii[8,5] := {24}
  tii[8,6] := {77}
  tii[8,7] := {73}
  tii[8,8] := {72}
  tii[8,9] := {63}
  tii[8,10] := {68}
  tii[8,11] := {64}
  tii[8,12] := {50}
  tii[8,13] := {79}
  tii[8,14] := {56}
  tii[8,15] := {76}
  tii[8,16] := {80}
  tii[8,17] := {16}
  tii[8,18] := {55}
  tii[8,19] := {71}
  tii[8,20] := {47}
  tii[8,21] := {35}
  tii[8,22] := {78}
  tii[8,23] := {7}
  tii[8,24] := {40}
  tii[8,25] := {3}
  tii[8,26] := {61}
  tii[8,27] := {60}
  tii[8,28] := {54}
  tii[8,29] := {53}
  tii[8,30] := {44}
  tii[8,31] := {46}
  tii[8,32] := {45}
  tii[8,33] := {39}
  tii[8,34] := {34}
  tii[8,35] := {33}
  tii[8,36] := {29}
  tii[8,37] := {30}
  tii[8,38] := {19}
  tii[8,39] := {20}
  tii[8,40] := {11}
  tii[8,41] := {59}
  tii[8,42] := {28}
  tii[8,43] := {27}
  tii[8,44] := {70}
  tii[8,45] := {52}
  tii[8,46] := {18}
  tii[8,47] := {17}
  tii[8,48] := {8}
  tii[8,49] := {9}
  tii[8,50] := {1}
  tii[8,51] := {5}
  tii[8,52] := {6}
  tii[8,53] := {65}
  tii[8,54] := {69}
  tii[8,55] := {4}
  tii[8,56] := {51}
  tii[8,57] := {58}
  tii[8,58] := {42}
  tii[8,59] := {31}
  tii[8,60] := {49}
  tii[8,61] := {21}
  tii[8,62] := {57}
  tii[8,63] := {25}
  tii[8,64] := {74}
  tii[8,65] := {15}
  tii[8,66] := {12}
  tii[8,67] := {48}
  tii[8,68] := {41}
  tii[8,69] := {36}
  tii[8,70] := {22}
  tii[8,71] := {23}
  tii[8,72] := {2}
  tii[8,73] := {13}
  tii[8,74] := {32}
  tii[8,75] := {38}
  tii[8,76] := {62}
  tii[8,77] := {10}
  tii[8,78] := {14}
  tii[8,79] := {43}
  tii[8,80] := {0}
  tii[8,81] := {26}

cell#4 , |C| = 64
special orbit = A2+A1
special rep = phi[64,13] , dim = 64
cell rep = phi[64,13]
TII depth = 4
TII multiplicity polynomial = 64*X
TII subcells:
  tii[5,1] := {61}
  tii[5,2] := {51}
  tii[5,3] := {2}
  tii[5,4] := {21}
  tii[5,5] := {20}
  tii[5,6] := {35}
  tii[5,7] := {48}
  tii[5,8] := {34}
  tii[5,9] := {53}
  tii[5,10] := {33}
  tii[5,11] := {45}
  tii[5,12] := {55}
  tii[5,13] := {17}
  tii[5,14] := {32}
  tii[5,15] := {15}
  tii[5,16] := {31}
  tii[5,17] := {30}
  tii[5,18] := {43}
  tii[5,19] := {54}
  tii[5,20] := {60}
  tii[5,21] := {1}
  tii[5,22] := {12}
  tii[5,23] := {5}
  tii[5,24] := {59}
  tii[5,25] := {11}
  tii[5,26] := {25}
  tii[5,27] := {14}
  tii[5,28] := {63}
  tii[5,29] := {23}
  tii[5,30] := {13}
  tii[5,31] := {37}
  tii[5,32] := {58}
  tii[5,33] := {50}
  tii[5,34] := {36}
  tii[5,35] := {28}
  tii[5,36] := {41}
  tii[5,37] := {47}
  tii[5,38] := {39}
  tii[5,39] := {49}
  tii[5,40] := {0}
  tii[5,41] := {10}
  tii[5,42] := {4}
  tii[5,43] := {57}
  tii[5,44] := {9}
  tii[5,45] := {62}
  tii[5,46] := {46}
  tii[5,47] := {56}
  tii[5,48] := {22}
  tii[5,49] := {7}
  tii[5,50] := {27}
  tii[5,51] := {40}
  tii[5,52] := {16}
  tii[5,53] := {44}
  tii[5,54] := {52}
  tii[5,55] := {29}
  tii[5,56] := {19}
  tii[5,57] := {18}
  tii[5,58] := {26}
  tii[5,59] := {6}
  tii[5,60] := {42}
  tii[5,61] := {3}
  tii[5,62] := {38}
  tii[5,63] := {24}
  tii[5,64] := {8}

cell#5 , |C| = 20
special orbit = 2*A1
special rep = phi[20,20] , dim = 20
cell rep = phi[20,20]
TII depth = 2
TII multiplicity polynomial = 20*X
TII subcells:
  tii[3,1] := {7}
  tii[3,2] := {8}
  tii[3,3] := {11}
  tii[3,4] := {4}
  tii[3,5] := {3}
  tii[3,6] := {19}
  tii[3,7] := {10}
  tii[3,8] := {13}
  tii[3,9] := {16}
  tii[3,10] := {18}
  tii[3,11] := {12}
  tii[3,12] := {5}
  tii[3,13] := {15}
  tii[3,14] := {2}
  tii[3,15] := {17}
  tii[3,16] := {9}
  tii[3,17] := {1}
  tii[3,18] := {14}
  tii[3,19] := {6}
  tii[3,20] := {0}

cell#6 , |C| = 64
special orbit = A2+A1
special rep = phi[64,13] , dim = 64
cell rep = phi[64,13]
TII depth = 4
TII multiplicity polynomial = 64*X
TII subcells:
  tii[5,1] := {37}
  tii[5,2] := {58}
  tii[5,3] := {60}
  tii[5,4] := {54}
  tii[5,5] := {34}
  tii[5,6] := {48}
  tii[5,7] := {36}
  tii[5,8] := {49}
  tii[5,9] := {19}
  tii[5,10] := {46}
  tii[5,11] := {32}
  tii[5,12] := {47}
  tii[5,13] := {53}
  tii[5,14] := {61}
  tii[5,15] := {29}
  tii[5,16] := {15}
  tii[5,17] := {17}
  tii[5,18] := {30}
  tii[5,19] := {18}
  tii[5,20] := {2}
  tii[5,21] := {27}
  tii[5,22] := {52}
  tii[5,23] := {31}
  tii[5,24] := {25}
  tii[5,25] := {23}
  tii[5,26] := {40}
  tii[5,27] := {43}
  tii[5,28] := {39}
  tii[5,29] := {41}
  tii[5,30] := {20}
  tii[5,31] := {50}
  tii[5,32] := {51}
  tii[5,33] := {59}
  tii[5,34] := {28}
  tii[5,35] := {35}
  tii[5,36] := {22}
  tii[5,37] := {14}
  tii[5,38] := {63}
  tii[5,39] := {11}
  tii[5,40] := {45}
  tii[5,41] := {44}
  tii[5,42] := {55}
  tii[5,43] := {21}
  tii[5,44] := {62}
  tii[5,45] := {10}
  tii[5,46] := {9}
  tii[5,47] := {5}
  tii[5,48] := {57}
  tii[5,49] := {26}
  tii[5,50] := {6}
  tii[5,51] := {16}
  tii[5,52] := {13}
  tii[5,53] := {33}
  tii[5,54] := {7}
  tii[5,55] := {4}
  tii[5,56] := {56}
  tii[5,57] := {8}
  tii[5,58] := {1}
  tii[5,59] := {42}
  tii[5,60] := {0}
  tii[5,61] := {12}
  tii[5,62] := {24}
  tii[5,63] := {38}
  tii[5,64] := {3}

cell#7 , |C| = 20
special orbit = 2*A1
special rep = phi[20,20] , dim = 20
cell rep = phi[20,20]
TII depth = 2
TII multiplicity polynomial = 20*X
TII subcells:
  tii[3,1] := {16}
  tii[3,2] := {14}
  tii[3,3] := {11}
  tii[3,4] := {18}
  tii[3,5] := {19}
  tii[3,6] := {3}
  tii[3,7] := {10}
  tii[3,8] := {8}
  tii[3,9] := {6}
  tii[3,10] := {4}
  tii[3,11] := {0}
  tii[3,12] := {13}
  tii[3,13] := {1}
  tii[3,14] := {17}
  tii[3,15] := {2}
  tii[3,16] := {9}
  tii[3,17] := {15}
  tii[3,18] := {5}
  tii[3,19] := {7}
  tii[3,20] := {12}

cell#8 , |C| = 45
special orbit = A2
special rep = phi[30,15] , dim = 30
cell rep = phi[15,17]+phi[30,15]
TII depth = 2
TII multiplicity polynomial = 15*X^2+15*X
TII subcells:
  tii[4,1] := {35}
  tii[4,2] := {25}
  tii[4,3] := {37}
  tii[4,4] := {41}
  tii[4,5] := {36}
  tii[4,6] := {13, 34}
  tii[4,7] := {28}
  tii[4,8] := {6, 38}
  tii[4,9] := {12, 32}
  tii[4,10] := {30}
  tii[4,11] := {2, 42}
  tii[4,12] := {20}
  tii[4,13] := {8, 39}
  tii[4,14] := {14, 31}
  tii[4,15] := {4, 24}
  tii[4,16] := {9, 23}
  tii[4,17] := {16, 17}
  tii[4,18] := {10, 22}
  tii[4,19] := {0, 44}
  tii[4,20] := {27}
  tii[4,21] := {1, 43}
  tii[4,22] := {29}
  tii[4,23] := {5, 40}
  tii[4,24] := {11, 33}
  tii[4,25] := {3, 26}
  tii[4,26] := {19}
  tii[4,27] := {15}
  tii[4,28] := {18}
  tii[4,29] := {21}
  tii[4,30] := {7}

cell#9 , |C| = 20
special orbit = 2*A1
special rep = phi[20,20] , dim = 20
cell rep = phi[20,20]
TII depth = 2
TII multiplicity polynomial = 20*X
TII subcells:
  tii[3,1] := {15}
  tii[3,2] := {8}
  tii[3,3] := {13}
  tii[3,4] := {17}
  tii[3,5] := {14}
  tii[3,6] := {11}
  tii[3,7] := {2}
  tii[3,8] := {5}
  tii[3,9] := {12}
  tii[3,10] := {16}
  tii[3,11] := {1}
  tii[3,12] := {9}
  tii[3,13] := {3}
  tii[3,14] := {10}
  tii[3,15] := {6}
  tii[3,16] := {18}
  tii[3,17] := {4}
  tii[3,18] := {7}
  tii[3,19] := {19}
  tii[3,20] := {0}

cell#10 , |C| = 6
special orbit = A1
special rep = phi[6,25] , dim = 6
cell rep = phi[6,25]
TII depth = 1
TII multiplicity polynomial = 6*X
TII subcells:
  tii[2,1] := {5}
  tii[2,2] := {4}
  tii[2,3] := {3}
  tii[2,4] := {2}
  tii[2,5] := {1}
  tii[2,6] := {0}

cell#11 , |C| = 6
special orbit = A1
special rep = phi[6,25] , dim = 6
cell rep = phi[6,25]
TII depth = 1
TII multiplicity polynomial = 6*X
TII subcells:
  tii[2,1] := {0}
  tii[2,2] := {2}
  tii[2,3] := {3}
  tii[2,4] := {4}
  tii[2,5] := {1}
  tii[2,6] := {5}

cell#12 , |C| = 1
special orbit = 0
special rep = phi[1,36] , dim = 1
cell rep = phi[1,36]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}