TII subcells for the Spin(12,2) x PSO(7,7) block of Spin14
#
cell#0 , |C| = 15
special orbit = [5, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1, 1, 1]] , dim = 15
cell rep = phi[[],[3, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 15*X
TII subcells:
  tii[15,1] := {0}
  tii[15,2] := {8}
  tii[15,3] := {11}
  tii[15,4] := {13}
  tii[15,5] := {14}
  tii[15,6] := {1}
  tii[15,7] := {7}
  tii[15,8] := {2}
  tii[15,9] := {10}
  tii[15,10] := {6}
  tii[15,11] := {3}
  tii[15,12] := {12}
  tii[15,13] := {9}
  tii[15,14] := {5}
  tii[15,15] := {4}

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

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

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

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

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

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

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

cell#8 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1, 1, 1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}