TII subcells for the SO(7,3) x SO(6,4) block of SO10
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cell#0 , |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] := {0}
  tii[12,2] := {2}
  tii[12,3] := {1}
  tii[12,4] := {3}

cell#1 , |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] := {12, 17}
  tii[10,2] := {8, 18}
  tii[10,3] := {0}
  tii[10,4] := {7, 13}
  tii[10,5] := {1}
  tii[10,6] := {4}
  tii[10,7] := {5}
  tii[10,8] := {3}
  tii[10,9] := {9}
  tii[10,10] := {10}
  tii[10,11] := {14}
  tii[10,12] := {15}
  tii[10,13] := {19}
  tii[10,14] := {2, 11}
  tii[10,15] := {6, 16}

cell#2 , |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] := {3}
  tii[9,2] := {1}
  tii[9,3] := {0}
  tii[9,4] := {4}
  tii[9,5] := {2}
  tii[9,6] := {5}

cell#3 , |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] := {4}
  tii[7,4] := {6}
  tii[7,5] := {7}
  tii[7,6] := {2}
  tii[7,7] := {3}
  tii[7,8] := {5}
  tii[7,9] := {8}
  tii[7,10] := {0}

cell#4 , |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] := {3}
  tii[9,2] := {5}
  tii[9,3] := {2}
  tii[9,4] := {4}
  tii[9,5] := {1}
  tii[9,6] := {0}

cell#5 , |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] := {1}
  tii[9,2] := {3}
  tii[9,3] := {0}
  tii[9,4] := {5}
  tii[9,5] := {4}
  tii[9,6] := {2}

cell#6 , |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, 11}
  tii[5,2] := {7, 15}
  tii[5,3] := {0}
  tii[5,4] := {5}
  tii[5,5] := {6}
  tii[5,6] := {8}
  tii[5,7] := {9}
  tii[5,8] := {14}
  tii[5,9] := {12}
  tii[5,10] := {13}
  tii[5,11] := {3, 19}
  tii[5,12] := {16}
  tii[5,13] := {18}
  tii[5,14] := {2, 10}
  tii[5,15] := {1, 17}

cell#7 , |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#8 , |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] := {13, 14}
  tii[5,2] := {7, 17}
  tii[5,3] := {1}
  tii[5,4] := {3}
  tii[5,5] := {5}
  tii[5,6] := {10}
  tii[5,7] := {11}
  tii[5,8] := {16}
  tii[5,9] := {4}
  tii[5,10] := {6}
  tii[5,11] := {2, 19}
  tii[5,12] := {12}
  tii[5,13] := {15}
  tii[5,14] := {8, 9}
  tii[5,15] := {0, 18}

cell#9 , |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] := {1}
  tii[4,2] := {3}
  tii[4,3] := {2}
  tii[4,4] := {0}

cell#10 , |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] := {2}
  tii[2,4] := {3}
  tii[2,5] := {4}

cell#11 , |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] := {0}
  tii[4,2] := {1}
  tii[4,3] := {3}
  tii[4,4] := {2}

cell#12 , |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}