TII subcells for the PSO(7,5) x Spin(9,3) block of PSO12
#
cell#0 , |C| = 1
special orbit = [11, 1]
special rep = [[], [6]] , dim = 1
cell rep = phi[[],[6]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[27,1] := {0}

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

cell#2 , |C| = 6
special orbit = [9, 3]
special rep = [[1], [5]] , dim = 6
cell rep = phi[[1],[5]]
TII depth = 1
TII multiplicity polynomial = 6*X
TII subcells:
  tii[26,1] := {0}
  tii[26,2] := {1}
  tii[26,3] := {2}
  tii[26,4] := {3}
  tii[26,5] := {4}
  tii[26,6] := {5}

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

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

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

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

cell#7 , |C| = 10
special orbit = [7, 1, 1, 1, 1, 1]
special rep = [[], [4, 1, 1]] , dim = 10
cell rep = phi[[],[4, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[22,1] := {3}
  tii[22,2] := {2}
  tii[22,3] := {5}
  tii[22,4] := {0}
  tii[22,5] := {1}
  tii[22,6] := {4}
  tii[22,7] := {8}
  tii[22,8] := {6}
  tii[22,9] := {7}
  tii[22,10] := {9}

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

cell#9 , |C| = 10
special orbit = [7, 1, 1, 1, 1, 1]
special rep = [[], [4, 1, 1]] , dim = 10
cell rep = phi[[],[4, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[22,1] := {9}
  tii[22,2] := {8}
  tii[22,3] := {7}
  tii[22,4] := {6}
  tii[22,5] := {3}
  tii[22,6] := {5}
  tii[22,7] := {1}
  tii[22,8] := {0}
  tii[22,9] := {2}
  tii[22,10] := {4}

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

cell#11 , |C| = 10
special orbit = [7, 1, 1, 1, 1, 1]
special rep = [[], [4, 1, 1]] , dim = 10
cell rep = phi[[],[4, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[22,1] := {0}
  tii[22,2] := {4}
  tii[22,3] := {7}
  tii[22,4] := {2}
  tii[22,5] := {5}
  tii[22,6] := {1}
  tii[22,7] := {9}
  tii[22,8] := {8}
  tii[22,9] := {6}
  tii[22,10] := {3}

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