TII subcells for the PSp(12,R) x Spin(10,3) block of PSp12
#
cell#0 , |C| = 1
special orbit = [12]
special rep = [[6], []] , dim = 1
cell rep = phi[[6],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[26,1] := {0}

cell#1 , |C| = 11
special orbit = [10, 2]
special rep = [[5], [1]] , dim = 6
cell rep = phi[[5, 1],[]]+phi[[5],[1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[25,1] := {1, 9}
  tii[25,2] := {0, 6}
  tii[25,3] := {2, 3}
  tii[25,4] := {4, 5}
  tii[25,5] := {7, 8}
  tii[25,6] := {10}

cell#2 , |C| = 11
special orbit = [10, 2]
special rep = [[5], [1]] , dim = 6
cell rep = phi[[5, 1],[]]+phi[[5],[1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[25,1] := {0, 10}
  tii[25,2] := {1, 9}
  tii[25,3] := {2, 8}
  tii[25,4] := {3, 7}
  tii[25,5] := {4, 6}
  tii[25,6] := {5}

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

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

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

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

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

cell#8 , |C| = 60
special orbit = [6, 4, 2]
special rep = [[3, 1], [2]] , dim = 45
cell rep = phi[[3, 1],[2]]+phi[[1, 1],[4]]
TII depth = 3
TII multiplicity polynomial = 15*X^2+30*X
TII subcells:
  tii[20,1] := {31}
  tii[20,2] := {51}
  tii[20,3] := {58, 59}
  tii[20,4] := {3}
  tii[20,5] := {18}
  tii[20,6] := {12}
  tii[20,7] := {29}
  tii[20,8] := {33, 34}
  tii[20,9] := {44, 45}
  tii[20,10] := {10}
  tii[20,11] := {22}
  tii[20,12] := {6}
  tii[20,13] := {28}
  tii[20,14] := {14}
  tii[20,15] := {15}
  tii[20,16] := {38}
  tii[20,17] := {40, 41}
  tii[20,18] := {21}
  tii[20,19] := {49, 50}
  tii[20,20] := {37}
  tii[20,21] := {46}
  tii[20,22] := {32}
  tii[20,23] := {47, 48}
  tii[20,24] := {39}
  tii[20,25] := {54, 55}
  tii[20,26] := {52, 53}
  tii[20,27] := {56, 57}
  tii[20,28] := {0}
  tii[20,29] := {2}
  tii[20,30] := {7, 8}
  tii[20,31] := {1}
  tii[20,32] := {5}
  tii[20,33] := {4}
  tii[20,34] := {9}
  tii[20,35] := {11}
  tii[20,36] := {16, 17}
  tii[20,37] := {13}
  tii[20,38] := {24, 25}
  tii[20,39] := {20}
  tii[20,40] := {19}
  tii[20,41] := {26, 27}
  tii[20,42] := {23}
  tii[20,43] := {35, 36}
  tii[20,44] := {30}
  tii[20,45] := {42, 43}

cell#9 , |C| = 81
special orbit = [6, 2, 2, 2]
special rep = [[3, 1], [1, 1]] , dim = 45
cell rep = phi[[3, 1, 1],[1]]+phi[[3, 1],[1, 1]]
TII depth = 3
TII multiplicity polynomial = 36*X^2+9*X
TII subcells:
  tii[18,1] := {6, 68}
  tii[18,2] := {20, 65}
  tii[18,3] := {37, 64}
  tii[18,4] := {13, 72}
  tii[18,5] := {32, 75}
  tii[18,6] := {17, 61}
  tii[18,7] := {51, 74}
  tii[18,8] := {26, 57}
  tii[18,9] := {40}
  tii[18,10] := {44, 78}
  tii[18,11] := {63, 79}
  tii[18,12] := {49, 71}
  tii[18,13] := {67}
  tii[18,14] := {73, 80}
  tii[18,15] := {77}
  tii[18,16] := {0, 3}
  tii[18,17] := {1, 58}
  tii[18,18] := {2, 9}
  tii[18,19] := {4, 42}
  tii[18,20] := {5, 16}
  tii[18,21] := {10, 30}
  tii[18,22] := {7, 18}
  tii[18,23] := {8, 48}
  tii[18,24] := {15, 43}
  tii[18,25] := {12, 25}
  tii[18,26] := {11, 56}
  tii[18,27] := {29}
  tii[18,28] := {19, 39}
  tii[18,29] := {21, 34}
  tii[18,30] := {24, 47}
  tii[18,31] := {41}
  tii[18,32] := {28, 53}
  tii[18,33] := {46}
  tii[18,34] := {14, 27}
  tii[18,35] := {22, 69}
  tii[18,36] := {23, 36}
  tii[18,37] := {31, 54}
  tii[18,38] := {33, 50}
  tii[18,39] := {35, 60}
  tii[18,40] := {38, 66}
  tii[18,41] := {55}
  tii[18,42] := {59}
  tii[18,43] := {45, 62}
  tii[18,44] := {52, 76}
  tii[18,45] := {70}

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

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