TII subcells for the PSp(16,R) x Spin(15,2) block of PSp16
#
cell#0 , |C| = 1
special orbit = [16]
special rep = [[8], []] , dim = 1
cell rep = phi[[8],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[60,1] := {0}

cell#1 , |C| = 15
special orbit = [14, 2]
special rep = [[7], [1]] , dim = 8
cell rep = phi[[7, 1],[]]+phi[[7],[1]]
TII depth = 1
TII multiplicity polynomial = 7*X^2+X
TII subcells:
  tii[59,1] := {0, 5}
  tii[59,2] := {1, 2}
  tii[59,3] := {3, 4}
  tii[59,4] := {6, 7}
  tii[59,5] := {8, 9}
  tii[59,6] := {10, 11}
  tii[59,7] := {12, 13}
  tii[59,8] := {14}

cell#2 , |C| = 15
special orbit = [14, 2]
special rep = [[7], [1]] , dim = 8
cell rep = phi[[7, 1],[]]+phi[[7],[1]]
TII depth = 1
TII multiplicity polynomial = 7*X^2+X
TII subcells:
  tii[59,1] := {0, 14}
  tii[59,2] := {1, 13}
  tii[59,3] := {2, 12}
  tii[59,4] := {3, 11}
  tii[59,5] := {4, 10}
  tii[59,6] := {5, 9}
  tii[59,7] := {6, 8}
  tii[59,8] := {7}

cell#3 , |C| = 15
special orbit = [14, 2]
special rep = [[7], [1]] , dim = 8
cell rep = phi[[7, 1],[]]+phi[[7],[1]]
TII depth = 1
TII multiplicity polynomial = 7*X^2+X
TII subcells:
  tii[59,1] := {0, 14}
  tii[59,2] := {1, 13}
  tii[59,3] := {2, 12}
  tii[59,4] := {3, 11}
  tii[59,5] := {4, 10}
  tii[59,6] := {5, 9}
  tii[59,7] := {6, 8}
  tii[59,8] := {7}

cell#4 , |C| = 48
special orbit = [12, 2, 2]
special rep = [[6, 1], [1]] , dim = 48
cell rep = phi[[6, 1],[1]]
TII depth = 6
TII multiplicity polynomial = 48*X
TII subcells:
  tii[57,1] := {5}
  tii[57,2] := {15}
  tii[57,3] := {28}
  tii[57,4] := {38}
  tii[57,5] := {44}
  tii[57,6] := {47}
  tii[57,7] := {0}
  tii[57,8] := {1}
  tii[57,9] := {2}
  tii[57,10] := {3}
  tii[57,11] := {4}
  tii[57,12] := {7}
  tii[57,13] := {8}
  tii[57,14] := {11}
  tii[57,15] := {12}
  tii[57,16] := {17}
  tii[57,17] := {18}
  tii[57,18] := {23}
  tii[57,19] := {6}
  tii[57,20] := {10}
  tii[57,21] := {9}
  tii[57,22] := {14}
  tii[57,23] := {13}
  tii[57,24] := {20}
  tii[57,25] := {19}
  tii[57,26] := {25}
  tii[57,27] := {24}
  tii[57,28] := {30}
  tii[57,29] := {16}
  tii[57,30] := {22}
  tii[57,31] := {21}
  tii[57,32] := {27}
  tii[57,33] := {26}
  tii[57,34] := {32}
  tii[57,35] := {31}
  tii[57,36] := {35}
  tii[57,37] := {29}
  tii[57,38] := {34}
  tii[57,39] := {33}
  tii[57,40] := {37}
  tii[57,41] := {36}
  tii[57,42] := {40}
  tii[57,43] := {39}
  tii[57,44] := {42}
  tii[57,45] := {41}
  tii[57,46] := {43}
  tii[57,47] := {45}
  tii[57,48] := {46}

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

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