TII subcells for the PSO(5,5) x Spin(6,4) block of PSO10
#
cell#0 , |C| = 1
special orbit = [9, 1]
special rep = [[], [5]] , dim = 1
cell rep = phi[[],[5]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[14,1] := {0}

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

cell#2 , |C| = 4
special orbit = [7, 1, 1, 1]
special rep = [[], [4, 1]] , dim = 4
cell rep = phi[[],[4, 1]]
TII depth = 1
TII multiplicity polynomial = 4*X
TII subcells:
  tii[12,1] := {3}
  tii[12,2] := {2}
  tii[12,3] := {1}
  tii[12,4] := {0}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cell#21 , |C| = 6
special orbit = [5, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1]] , dim = 6
cell rep = phi[[],[3, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 6*X
TII subcells:
  tii[9,1] := {4}
  tii[9,2] := {2}
  tii[9,3] := {0}
  tii[9,4] := {5}
  tii[9,5] := {3}
  tii[9,6] := {1}

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

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

cell#24 , |C| = 10
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]]
TII depth = 2
TII multiplicity polynomial = 10*X
TII subcells:
  tii[3,1] := {4}
  tii[3,2] := {5}
  tii[3,3] := {6}
  tii[3,4] := {7}
  tii[3,5] := {9}
  tii[3,6] := {0}
  tii[3,7] := {1}
  tii[3,8] := {2}
  tii[3,9] := {3}
  tii[3,10] := {8}

cell#25 , |C| = 10
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]]
TII depth = 2
TII multiplicity polynomial = 10*X
TII subcells:
  tii[3,1] := {4}
  tii[3,2] := {5}
  tii[3,3] := {6}
  tii[3,4] := {7}
  tii[3,5] := {9}
  tii[3,6] := {0}
  tii[3,7] := {1}
  tii[3,8] := {2}
  tii[3,9] := {3}
  tii[3,10] := {8}

cell#26 , |C| = 5
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]]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[2,1] := {0}
  tii[2,2] := {1}
  tii[2,3] := {3}
  tii[2,4] := {2}
  tii[2,5] := {4}

cell#27 , |C| = 5
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]]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[2,1] := {0}
  tii[2,2] := {1}
  tii[2,3] := {3}
  tii[2,4] := {2}
  tii[2,5] := {4}

cell#28 , |C| = 4
special orbit = [3, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [2, 1, 1, 1]] , dim = 4
cell rep = phi[[],[2, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 4*X
TII subcells:
  tii[4,1] := {3}
  tii[4,2] := {0}
  tii[4,3] := {2}
  tii[4,4] := {1}

cell#29 , |C| = 4
special orbit = [3, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [2, 1, 1, 1]] , dim = 4
cell rep = phi[[],[2, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 4*X
TII subcells:
  tii[4,1] := {3}
  tii[4,2] := {0}
  tii[4,3] := {2}
  tii[4,4] := {1}

cell#30 , |C| = 1
special orbit = [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}

cell#31 , |C| = 1
special orbit = [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}