TII subcells for the SO(7,6) x Sp(4,2) block of SO13
#
cell#0 , |C| = 1
special orbit = [13]
special rep = [[6], []] , dim = 1
cell rep = phi[[6],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[26,1] := {0}

cell#1 , |C| = 11
special orbit = [11, 1, 1]
special rep = [[5], [1]] , dim = 6
cell rep = phi[[5, 1],[]]+phi[[5],[1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[25,1] := {5, 10}
  tii[25,2] := {3, 9}
  tii[25,3] := {2, 8}
  tii[25,4] := {0, 7}
  tii[25,5] := {1, 6}
  tii[25,6] := {4}

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

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

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

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

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

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

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