TII subcells for the Spin(13,2) x PSp(14,R) block of Spin15
#
cell#0 , |C| = 36
special orbit = [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[2], [1, 1, 1, 1, 1]] , dim = 21
cell rep = phi[[2],[1, 1, 1, 1, 1]]+phi[[],[3, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X+15*X^2
TII subcells:
  tii[11,1] := {0}
  tii[11,2] := {10}
  tii[11,3] := {1, 15}
  tii[11,4] := {14}
  tii[11,5] := {9, 19}
  tii[11,6] := {2, 22}
  tii[11,7] := {18}
  tii[11,8] := {13, 23}
  tii[11,9] := {8, 25}
  tii[11,10] := {3, 27}
  tii[11,11] := {21}
  tii[11,12] := {17, 26}
  tii[11,13] := {12, 28}
  tii[11,14] := {7, 30}
  tii[11,15] := {4, 32}
  tii[11,16] := {24}
  tii[11,17] := {20, 29}
  tii[11,18] := {16, 31}
  tii[11,19] := {11, 33}
  tii[11,20] := {6, 34}
  tii[11,21] := {5, 35}

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

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

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

cell#4 , |C| = 35
special orbit = [3, 3, 1, 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]]
TII depth = 5
TII multiplicity polynomial = 35*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] := {24}
  tii[6,19] := {25}
  tii[6,20] := {29}
  tii[6,21] := {17}
  tii[6,22] := {22}
  tii[6,23] := {23}
  tii[6,24] := {26}
  tii[6,25] := {27}
  tii[6,26] := {30}
  tii[6,27] := {31}
  tii[6,28] := {32}
  tii[6,29] := {33}
  tii[6,30] := {34}
  tii[6,31] := {0}
  tii[6,32] := {2}
  tii[6,33] := {8}
  tii[6,34] := {18}
  tii[6,35] := {28}

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

cell#6 , |C| = 1
special orbit = [1, 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}