TII subcells for the Sp(3,2) x SO(6,5) block of Sp10
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cell#0 , |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] := {9}
  tii[11,2] := {6}
  tii[11,3] := {0}
  tii[11,4] := {7}
  tii[11,5] := {3}
  tii[11,6] := {8}
  tii[11,7] := {4}
  tii[11,8] := {5}
  tii[11,9] := {2}
  tii[11,10] := {1}

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

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

cell#3 , |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] := {25}
  tii[6,2] := {20}
  tii[6,3] := {7, 24}
  tii[6,4] := {13, 28}
  tii[6,5] := {15}
  tii[6,6] := {10, 23}
  tii[6,7] := {12}
  tii[6,8] := {18}
  tii[6,9] := {14}
  tii[6,10] := {3, 19}
  tii[6,11] := {22}
  tii[6,12] := {8, 26}
  tii[6,13] := {1, 16}
  tii[6,14] := {4, 29}
  tii[6,15] := {9}
  tii[6,16] := {2, 21}
  tii[6,17] := {17}
  tii[6,18] := {5, 27}
  tii[6,19] := {6}
  tii[6,20] := {0, 11}

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

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

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

cell#7 , |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}