TII subcells for the PSp(10,R) x Spin(7,4) block of PSp10
#
cell#0 , |C| = 1
special orbit = [10]
special rep = [[5], []] , dim = 1
cell rep = phi[[5],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[16,1] := {0}

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

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

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

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

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

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

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

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

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

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

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

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

cell#13 , |C| = 16
special orbit = [6, 2, 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] := {7, 15}
  tii[12,2] := {4, 14}
  tii[12,3] := {8, 13}
  tii[12,4] := {11}
  tii[12,5] := {1, 12}
  tii[12,6] := {2, 10}
  tii[12,7] := {9}
  tii[12,8] := {0, 6}
  tii[12,9] := {3}
  tii[12,10] := {5}

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

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

cell#16 , |C| = 16
special orbit = [6, 2, 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] := {2, 14}
  tii[12,2] := {8, 9}
  tii[12,3] := {12, 13}
  tii[12,4] := {15}
  tii[12,5] := {0, 1}
  tii[12,6] := {6, 7}
  tii[12,7] := {11}
  tii[12,8] := {4, 5}
  tii[12,9] := {10}
  tii[12,10] := {3}

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

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

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

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

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

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

cell#23 , |C| = 10
special orbit = [2, 2, 2, 2, 2]
special rep = [[1, 1, 1], [1, 1]] , dim = 10
cell rep = phi[[1, 1, 1],[1, 1]]
TII depth = 2
TII multiplicity polynomial = 10*X
TII subcells:
  tii[4,1] := {9}
  tii[4,2] := {2}
  tii[4,3] := {7}
  tii[4,4] := {4}
  tii[4,5] := {5}
  tii[4,6] := {6}
  tii[4,7] := {8}
  tii[4,8] := {0}
  tii[4,9] := {1}
  tii[4,10] := {3}

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

cell#25 , |C| = 14
special orbit = [4, 2, 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] := {7, 13}
  tii[7,2] := {10, 11}
  tii[7,3] := {12}
  tii[7,4] := {5, 6}
  tii[7,5] := {9}
  tii[7,6] := {8}
  tii[7,7] := {0, 1}
  tii[7,8] := {4}
  tii[7,9] := {2}
  tii[7,10] := {3}

cell#26 , |C| = 10
special orbit = [2, 2, 2, 2, 2]
special rep = [[1, 1, 1], [1, 1]] , dim = 10
cell rep = phi[[1, 1, 1],[1, 1]]
TII depth = 2
TII multiplicity polynomial = 10*X
TII subcells:
  tii[4,1] := {9}
  tii[4,2] := {2}
  tii[4,3] := {8}
  tii[4,4] := {3}
  tii[4,5] := {6}
  tii[4,6] := {5}
  tii[4,7] := {7}
  tii[4,8] := {0}
  tii[4,9] := {1}
  tii[4,10] := {4}

cell#27 , |C| = 10
special orbit = [2, 2, 2, 2, 2]
special rep = [[1, 1, 1], [1, 1]] , dim = 10
cell rep = phi[[1, 1, 1],[1, 1]]
TII depth = 2
TII multiplicity polynomial = 10*X
TII subcells:
  tii[4,1] := {9}
  tii[4,2] := {2}
  tii[4,3] := {8}
  tii[4,4] := {3}
  tii[4,5] := {6}
  tii[4,6] := {5}
  tii[4,7] := {7}
  tii[4,8] := {0}
  tii[4,9] := {1}
  tii[4,10] := {4}

cell#28 , |C| = 15
special orbit = [2, 2, 2, 2, 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] := {2, 14}
  tii[3,2] := {5, 12}
  tii[3,3] := {9}
  tii[3,4] := {7, 13}
  tii[3,5] := {10}
  tii[3,6] := {6}
  tii[3,7] := {0, 8}
  tii[3,8] := {1, 11}
  tii[3,9] := {4}
  tii[3,10] := {3}

cell#29 , |C| = 14
special orbit = [4, 2, 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] := {0, 13}
  tii[7,2] := {1, 8}
  tii[7,3] := {4}
  tii[7,4] := {3, 12}
  tii[7,5] := {7}
  tii[7,6] := {11}
  tii[7,7] := {2, 10}
  tii[7,8] := {6}
  tii[7,9] := {9}
  tii[7,10] := {5}

cell#30 , |C| = 14
special orbit = [4, 2, 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] := {0, 13}
  tii[7,2] := {1, 8}
  tii[7,3] := {4}
  tii[7,4] := {3, 12}
  tii[7,5] := {7}
  tii[7,6] := {11}
  tii[7,7] := {2, 10}
  tii[7,8] := {6}
  tii[7,9] := {9}
  tii[7,10] := {5}

cell#31 , |C| = 6
special orbit = [2, 2, 1, 1, 1, 1, 1, 1]
special rep = [[1], [1, 1, 1, 1]] , dim = 5
cell rep = phi[[1, 1, 1, 1, 1],[]]+phi[[1],[1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 4*X+X^2
TII subcells:
  tii[2,1] := {0, 5}
  tii[2,2] := {1}
  tii[2,3] := {4}
  tii[2,4] := {2}
  tii[2,5] := {3}

cell#32 , |C| = 6
special orbit = [2, 2, 1, 1, 1, 1, 1, 1]
special rep = [[1], [1, 1, 1, 1]] , dim = 5
cell rep = phi[[1, 1, 1, 1, 1],[]]+phi[[1],[1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 4*X+X^2
TII subcells:
  tii[2,1] := {0, 5}
  tii[2,2] := {1}
  tii[2,3] := {4}
  tii[2,4] := {2}
  tii[2,5] := {3}