TII subcells for the Spin(8,3) x PSp(10,R) block of Spin11
#
cell#0 , |C| = 16
special orbit = [7, 1, 1, 1, 1]
special rep = [[3], [1, 1]] , dim = 10
cell rep = phi[[3, 1, 1],[]]+phi[[3],[1, 1]]
TII depth = 1
TII multiplicity polynomial = 4*X+6*X^2
TII subcells:
  tii[12,1] := {0, 2}
  tii[12,2] := {8, 9}
  tii[12,3] := {1, 4}
  tii[12,4] := {10}
  tii[12,5] := {13, 14}
  tii[12,6] := {6, 7}
  tii[12,7] := {12}
  tii[12,8] := {3, 5}
  tii[12,9] := {11}
  tii[12,10] := {15}

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

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

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

cell#4 , |C| = 16
special orbit = [5, 1, 1, 1, 1, 1, 1]
special rep = [[2], [1, 1, 1]] , dim = 10
cell rep = phi[[2],[1, 1, 1]]+phi[[],[3, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 4*X+6*X^2
TII subcells:
  tii[7,1] := {3}
  tii[7,2] := {7}
  tii[7,3] := {4, 11}
  tii[7,4] := {9}
  tii[7,5] := {6, 13}
  tii[7,6] := {5, 15}
  tii[7,7] := {8}
  tii[7,8] := {2, 10}
  tii[7,9] := {1, 12}
  tii[7,10] := {0, 14}

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

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

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

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

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

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

cell#11 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}