TII subcells for the SO(6,6) x SO(10,2) block of SO12
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cell#0 , |C| = 1
special orbit = [11, 1]
special rep = [[], [6]] , dim = 1
cell rep = phi[[],[6]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[27,1] := {0}

cell#1 , |C| = 1
special orbit = [11, 1]
special rep = [[], [6]] , dim = 1
cell rep = phi[[],[6]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[27,1] := {0}

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

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

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

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

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

cell#7 , |C| = 10
special orbit = [7, 1, 1, 1, 1, 1]
special rep = [[], [4, 1, 1]] , dim = 10
cell rep = phi[[],[4, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[22,1] := {9}
  tii[22,2] := {5}
  tii[22,3] := {2}
  tii[22,4] := {8}
  tii[22,5] := {4}
  tii[22,6] := {7}
  tii[22,7] := {0}
  tii[22,8] := {1}
  tii[22,9] := {3}
  tii[22,10] := {6}