TII subcells for the Spin(15,2) x PSp(16,R) block of Spin17
#
cell#0 , |C| = 49
special orbit = [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[2], [1, 1, 1, 1, 1, 1]] , dim = 28
cell rep = phi[[2],[1, 1, 1, 1, 1, 1]]+phi[[],[3, 1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 7*X+21*X^2
TII subcells:
  tii[12,1] := {0}
  tii[12,2] := {12}
  tii[12,3] := {1, 18}
  tii[12,4] := {17}
  tii[12,5] := {11, 23}
  tii[12,6] := {2, 27}
  tii[12,7] := {22}
  tii[12,8] := {16, 28}
  tii[12,9] := {10, 31}
  tii[12,10] := {3, 33}
  tii[12,11] := {26}
  tii[12,12] := {21, 32}
  tii[12,13] := {15, 35}
  tii[12,14] := {9, 37}
  tii[12,15] := {4, 40}
  tii[12,16] := {30}
  tii[12,17] := {25, 36}
  tii[12,18] := {20, 38}
  tii[12,19] := {14, 41}
  tii[12,20] := {8, 43}
  tii[12,21] := {5, 45}
  tii[12,22] := {34}
  tii[12,23] := {29, 39}
  tii[12,24] := {24, 42}
  tii[12,25] := {19, 44}
  tii[12,26] := {13, 46}
  tii[12,27] := {7, 47}
  tii[12,28] := {6, 48}

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

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

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

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

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

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