TII subcells for the SO(6,6) x SO(8,4) block of SO12
#
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] := {1}
  tii[26,2] := {0}
  tii[26,3] := {2}
  tii[26,4] := {3}
  tii[26,5] := {4}
  tii[26,6] := {5}

cell#3 , |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] := {1}
  tii[26,2] := {0}
  tii[26,3] := {2}
  tii[26,4] := {3}
  tii[26,5] := {4}
  tii[26,6] := {5}

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] := {4}
  tii[25,2] := {3}
  tii[25,3] := {1}
  tii[25,4] := {0}
  tii[25,5] := {2}

cell#5 , |C| = 15
special orbit = [7, 5]
special rep = [[2], [4]] , dim = 15
cell rep = phi[[2],[4]]
TII depth = 2
TII multiplicity polynomial = 15*X
TII subcells:
  tii[24,1] := {2}
  tii[24,2] := {6}
  tii[24,3] := {11}
  tii[24,4] := {12}
  tii[24,5] := {13}
  tii[24,6] := {14}
  tii[24,7] := {0}
  tii[24,8] := {1}
  tii[24,9] := {4}
  tii[24,10] := {5}
  tii[24,11] := {3}
  tii[24,12] := {7}
  tii[24,13] := {8}
  tii[24,14] := {9}
  tii[24,15] := {10}

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| = 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] := {1, 32}
  tii[23,2] := {7, 28}
  tii[23,3] := {16, 27}
  tii[23,4] := {4}
  tii[23,5] := {0, 31}
  tii[23,6] := {9}
  tii[23,7] := {2, 30}
  tii[23,8] := {12}
  tii[23,9] := {18}
  tii[23,10] := {20}
  tii[23,11] := {5}
  tii[23,12] := {3, 26}
  tii[23,13] := {8}
  tii[23,14] := {13}
  tii[23,15] := {14}
  tii[23,16] := {11}
  tii[23,17] := {17}
  tii[23,18] := {19}
  tii[23,19] := {22}
  tii[23,20] := {23}
  tii[23,21] := {29}
  tii[23,22] := {6, 25}
  tii[23,23] := {10, 21}
  tii[23,24] := {15, 24}

cell#8 , |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] := {1}
  tii[25,4] := {0}
  tii[25,5] := {2}

cell#9 , |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#10 , |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] := {1, 32}
  tii[23,2] := {7, 28}
  tii[23,3] := {16, 27}
  tii[23,4] := {4}
  tii[23,5] := {0, 31}
  tii[23,6] := {9}
  tii[23,7] := {2, 30}
  tii[23,8] := {12}
  tii[23,9] := {18}
  tii[23,10] := {20}
  tii[23,11] := {5}
  tii[23,12] := {3, 26}
  tii[23,13] := {8}
  tii[23,14] := {13}
  tii[23,15] := {14}
  tii[23,16] := {11}
  tii[23,17] := {17}
  tii[23,18] := {19}
  tii[23,19] := {22}
  tii[23,20] := {23}
  tii[23,21] := {29}
  tii[23,22] := {6, 25}
  tii[23,23] := {10, 21}
  tii[23,24] := {15, 24}

cell#11 , |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] := {10, 32}
  tii[23,2] := {2, 29}
  tii[23,3] := {15, 16}
  tii[23,4] := {18}
  tii[23,5] := {4, 31}
  tii[23,6] := {14}
  tii[23,7] := {1, 30}
  tii[23,8] := {19}
  tii[23,9] := {27}
  tii[23,10] := {28}
  tii[23,11] := {7}
  tii[23,12] := {0, 24}
  tii[23,13] := {11}
  tii[23,14] := {20}
  tii[23,15] := {22}
  tii[23,16] := {5}
  tii[23,17] := {12}
  tii[23,18] := {13}
  tii[23,19] := {21}
  tii[23,20] := {23}
  tii[23,21] := {26}
  tii[23,22] := {6, 25}
  tii[23,23] := {3, 17}
  tii[23,24] := {8, 9}

cell#12 , |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] := {10, 32}
  tii[23,2] := {2, 29}
  tii[23,3] := {15, 16}
  tii[23,4] := {18}
  tii[23,5] := {4, 31}
  tii[23,6] := {14}
  tii[23,7] := {1, 30}
  tii[23,8] := {19}
  tii[23,9] := {27}
  tii[23,10] := {28}
  tii[23,11] := {7}
  tii[23,12] := {0, 24}
  tii[23,13] := {11}
  tii[23,14] := {20}
  tii[23,15] := {22}
  tii[23,16] := {5}
  tii[23,17] := {12}
  tii[23,18] := {13}
  tii[23,19] := {21}
  tii[23,20] := {23}
  tii[23,21] := {26}
  tii[23,22] := {6, 25}
  tii[23,23] := {3, 17}
  tii[23,24] := {8, 9}

cell#13 , |C| = 50
special orbit = [5, 5, 1, 1]
special rep = [[2], [3, 1]] , dim = 45
cell rep = phi[[],[3, 3]]+phi[[2],[3, 1]]
TII depth = 3
TII multiplicity polynomial = 5*X^2+40*X
TII subcells:
  tii[19,1] := {26, 27}
  tii[19,2] := {42}
  tii[19,3] := {19}
  tii[19,4] := {6, 7}
  tii[19,5] := {36}
  tii[19,6] := {38}
  tii[19,7] := {43}
  tii[19,8] := {45}
  tii[19,9] := {10}
  tii[19,10] := {16, 17}
  tii[19,11] := {29}
  tii[19,12] := {30}
  tii[19,13] := {3}
  tii[19,14] := {12}
  tii[19,15] := {40}
  tii[19,16] := {14}
  tii[19,17] := {41}
  tii[19,18] := {37}
  tii[19,19] := {39}
  tii[19,20] := {32}
  tii[19,21] := {44}
  tii[19,22] := {34}
  tii[19,23] := {46}
  tii[19,24] := {47}
  tii[19,25] := {48}
  tii[19,26] := {49}
  tii[19,27] := {11}
  tii[19,28] := {21}
  tii[19,29] := {24}
  tii[19,30] := {0}
  tii[19,31] := {31}
  tii[19,32] := {4}
  tii[19,33] := {33}
  tii[19,34] := {5}
  tii[19,35] := {13}
  tii[19,36] := {15}
  tii[19,37] := {18}
  tii[19,38] := {20}
  tii[19,39] := {23}
  tii[19,40] := {22}
  tii[19,41] := {25}
  tii[19,42] := {8, 9}
  tii[19,43] := {28}
  tii[19,44] := {35}
  tii[19,45] := {1, 2}

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

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

cell#16 , |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] := {8}
  tii[22,3] := {7}
  tii[22,4] := {6}
  tii[22,5] := {4}
  tii[22,6] := {2}
  tii[22,7] := {5}
  tii[22,8] := {3}
  tii[22,9] := {0}
  tii[22,10] := {1}

cell#17 , |C| = 52
special orbit = [5, 3, 1, 1, 1, 1]
special rep = [[1], [3, 1, 1]] , dim = 36
cell rep = phi[[],[3, 2, 1]]+phi[[1],[3, 1, 1]]
TII depth = 2
TII multiplicity polynomial = 16*X^2+20*X
TII subcells:
  tii[16,1] := {7, 50}
  tii[16,2] := {22, 41}
  tii[16,3] := {3, 51}
  tii[16,4] := {14, 30}
  tii[16,5] := {1, 49}
  tii[16,6] := {21, 39}
  tii[16,7] := {12}
  tii[16,8] := {4, 48}
  tii[16,9] := {20}
  tii[16,10] := {31}
  tii[16,11] := {34}
  tii[16,12] := {0, 45}
  tii[16,13] := {13}
  tii[16,14] := {23}
  tii[16,15] := {25}
  tii[16,16] := {33}
  tii[16,17] := {36}
  tii[16,18] := {43}
  tii[16,19] := {8}
  tii[16,20] := {15}
  tii[16,21] := {16}
  tii[16,22] := {24}
  tii[16,23] := {26}
  tii[16,24] := {6, 46}
  tii[16,25] := {38}
  tii[16,26] := {32}
  tii[16,27] := {35}
  tii[16,28] := {18, 28}
  tii[16,29] := {44}
  tii[16,30] := {47}
  tii[16,31] := {11, 42}
  tii[16,32] := {2, 40}
  tii[16,33] := {17, 37}
  tii[16,34] := {5, 29}
  tii[16,35] := {9, 27}
  tii[16,36] := {10, 19}

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

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

cell#20 , |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] := {8}
  tii[22,3] := {7}
  tii[22,4] := {6}
  tii[22,5] := {4}
  tii[22,6] := {2}
  tii[22,7] := {5}
  tii[22,8] := {3}
  tii[22,9] := {0}
  tii[22,10] := {1}

cell#21 , |C| = 52
special orbit = [5, 3, 1, 1, 1, 1]
special rep = [[1], [3, 1, 1]] , dim = 36
cell rep = phi[[],[3, 2, 1]]+phi[[1],[3, 1, 1]]
TII depth = 2
TII multiplicity polynomial = 16*X^2+20*X
TII subcells:
  tii[16,1] := {7, 50}
  tii[16,2] := {22, 41}
  tii[16,3] := {3, 51}
  tii[16,4] := {14, 30}
  tii[16,5] := {1, 49}
  tii[16,6] := {21, 39}
  tii[16,7] := {12}
  tii[16,8] := {4, 48}
  tii[16,9] := {20}
  tii[16,10] := {31}
  tii[16,11] := {34}
  tii[16,12] := {0, 45}
  tii[16,13] := {13}
  tii[16,14] := {23}
  tii[16,15] := {25}
  tii[16,16] := {33}
  tii[16,17] := {36}
  tii[16,18] := {43}
  tii[16,19] := {8}
  tii[16,20] := {15}
  tii[16,21] := {16}
  tii[16,22] := {24}
  tii[16,23] := {26}
  tii[16,24] := {6, 46}
  tii[16,25] := {38}
  tii[16,26] := {32}
  tii[16,27] := {35}
  tii[16,28] := {18, 28}
  tii[16,29] := {44}
  tii[16,30] := {47}
  tii[16,31] := {11, 42}
  tii[16,32] := {2, 40}
  tii[16,33] := {17, 37}
  tii[16,34] := {5, 29}
  tii[16,35] := {9, 27}
  tii[16,36] := {10, 19}

cell#22 , |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, 32}
  tii[23,2] := {8, 30}
  tii[23,3] := {7, 26}
  tii[23,4] := {10}
  tii[23,5] := {3, 31}
  tii[23,6] := {15}
  tii[23,7] := {2, 29}
  tii[23,8] := {19}
  tii[23,9] := {23}
  tii[23,10] := {24}
  tii[23,11] := {9}
  tii[23,12] := {5, 28}
  tii[23,13] := {14}
  tii[23,14] := {20}
  tii[23,15] := {21}
  tii[23,16] := {11}
  tii[23,17] := {16}
  tii[23,18] := {17}
  tii[23,19] := {12}
  tii[23,20] := {13}
  tii[23,21] := {18}
  tii[23,22] := {0, 27}
  tii[23,23] := {1, 25}
  tii[23,24] := {4, 22}

cell#23 , |C| = 45
special orbit = [5, 3, 2, 2]
special rep = [[1, 1], [3, 1]] , dim = 45
cell rep = phi[[1, 1],[3, 1]]
TII depth = 4
TII multiplicity polynomial = 45*X
TII subcells:
  tii[17,1] := {18}
  tii[17,2] := {15}
  tii[17,3] := {28}
  tii[17,4] := {23}
  tii[17,5] := {32}
  tii[17,6] := {40}
  tii[17,7] := {43}
  tii[17,8] := {31}
  tii[17,9] := {39}
  tii[17,10] := {42}
  tii[17,11] := {41}
  tii[17,12] := {44}
  tii[17,13] := {0}
  tii[17,14] := {14}
  tii[17,15] := {1}
  tii[17,16] := {3}
  tii[17,17] := {4}
  tii[17,18] := {22}
  tii[17,19] := {2}
  tii[17,20] := {33}
  tii[17,21] := {6}
  tii[17,22] := {35}
  tii[17,23] := {7}
  tii[17,24] := {25}
  tii[17,25] := {10}
  tii[17,26] := {27}
  tii[17,27] := {12}
  tii[17,28] := {20}
  tii[17,29] := {21}
  tii[17,30] := {5}
  tii[17,31] := {9}
  tii[17,32] := {11}
  tii[17,33] := {16}
  tii[17,34] := {34}
  tii[17,35] := {17}
  tii[17,36] := {36}
  tii[17,37] := {29}
  tii[17,38] := {30}
  tii[17,39] := {24}
  tii[17,40] := {26}
  tii[17,41] := {37}
  tii[17,42] := {38}
  tii[17,43] := {8}
  tii[17,44] := {13}
  tii[17,45] := {19}

cell#24 , |C| = 52
special orbit = [5, 3, 1, 1, 1, 1]
special rep = [[1], [3, 1, 1]] , dim = 36
cell rep = phi[[],[3, 2, 1]]+phi[[1],[3, 1, 1]]
TII depth = 2
TII multiplicity polynomial = 16*X^2+20*X
TII subcells:
  tii[16,1] := {15, 51}
  tii[16,2] := {16, 46}
  tii[16,3] := {9, 50}
  tii[16,4] := {11, 41}
  tii[16,5] := {5, 48}
  tii[16,6] := {13, 47}
  tii[16,7] := {24}
  tii[16,8] := {10, 49}
  tii[16,9] := {29}
  tii[16,10] := {37}
  tii[16,11] := {38}
  tii[16,12] := {2, 44}
  tii[16,13] := {19}
  tii[16,14] := {30}
  tii[16,15] := {31}
  tii[16,16] := {25}
  tii[16,17] := {26}
  tii[16,18] := {34}
  tii[16,19] := {14}
  tii[16,20] := {21}
  tii[16,21] := {23}
  tii[16,22] := {17}
  tii[16,23] := {18}
  tii[16,24] := {3, 42}
  tii[16,25] := {27}
  tii[16,26] := {20}
  tii[16,27] := {22}
  tii[16,28] := {8, 43}
  tii[16,29] := {32}
  tii[16,30] := {40}
  tii[16,31] := {7, 45}
  tii[16,32] := {0, 35}
  tii[16,33] := {12, 39}
  tii[16,34] := {1, 28}
  tii[16,35] := {6, 33}
  tii[16,36] := {4, 36}

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

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

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

cell#28 , |C| = 50
special orbit = [3, 3, 2, 2, 1, 1]
special rep = [[1, 1], [2, 1, 1]] , dim = 45
cell rep = phi[[],[2, 2, 2]]+phi[[1, 1],[2, 1, 1]]
TII depth = 3
TII multiplicity polynomial = 5*X^2+40*X
TII subcells:
  tii[8,1] := {15, 49}
  tii[8,2] := {10}
  tii[8,3] := {8, 47}
  tii[8,4] := {18}
  tii[8,5] := {29}
  tii[8,6] := {31}
  tii[8,7] := {30}
  tii[8,8] := {32}
  tii[8,9] := {25}
  tii[8,10] := {36}
  tii[8,11] := {37}
  tii[8,12] := {40}
  tii[8,13] := {26}
  tii[8,14] := {41}
  tii[8,15] := {27}
  tii[8,16] := {38}
  tii[8,17] := {43}
  tii[8,18] := {44}
  tii[8,19] := {48}
  tii[8,20] := {0}
  tii[8,21] := {2}
  tii[8,22] := {3}
  tii[8,23] := {20}
  tii[8,24] := {5}
  tii[8,25] := {22}
  tii[8,26] := {6}
  tii[8,27] := {13}
  tii[8,28] := {14}
  tii[8,29] := {11}
  tii[8,30] := {16}
  tii[8,31] := {12}
  tii[8,32] := {17}
  tii[8,33] := {4, 42}
  tii[8,34] := {23}
  tii[8,35] := {24}
  tii[8,36] := {28}
  tii[8,37] := {39}
  tii[8,38] := {19}
  tii[8,39] := {21}
  tii[8,40] := {9, 45}
  tii[8,41] := {33}
  tii[8,42] := {34}
  tii[8,43] := {46}
  tii[8,44] := {7}
  tii[8,45] := {1, 35}

cell#29 , |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] := {7}
  tii[22,2] := {4}
  tii[22,3] := {6}
  tii[22,4] := {0}
  tii[22,5] := {3}
  tii[22,6] := {1}
  tii[22,7] := {9}
  tii[22,8] := {8}
  tii[22,9] := {5}
  tii[22,10] := {2}

cell#30 , |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] := {7}
  tii[22,2] := {4}
  tii[22,3] := {6}
  tii[22,4] := {0}
  tii[22,5] := {3}
  tii[22,6] := {1}
  tii[22,7] := {9}
  tii[22,8] := {8}
  tii[22,9] := {5}
  tii[22,10] := {2}

cell#31 , |C| = 52
special orbit = [5, 3, 1, 1, 1, 1]
special rep = [[1], [3, 1, 1]] , dim = 36
cell rep = phi[[],[3, 2, 1]]+phi[[1],[3, 1, 1]]
TII depth = 2
TII multiplicity polynomial = 16*X^2+20*X
TII subcells:
  tii[16,1] := {20, 21}
  tii[16,2] := {44, 45}
  tii[16,3] := {13, 14}
  tii[16,4] := {39, 40}
  tii[16,5] := {4, 5}
  tii[16,6] := {25, 26}
  tii[16,7] := {10}
  tii[16,8] := {11, 12}
  tii[16,9] := {19}
  tii[16,10] := {30}
  tii[16,11] := {31}
  tii[16,12] := {0, 1}
  tii[16,13] := {29}
  tii[16,14] := {41}
  tii[16,15] := {42}
  tii[16,16] := {48}
  tii[16,17] := {49}
  tii[16,18] := {51}
  tii[16,19] := {22}
  tii[16,20] := {33}
  tii[16,21] := {35}
  tii[16,22] := {46}
  tii[16,23] := {47}
  tii[16,24] := {17, 18}
  tii[16,25] := {50}
  tii[16,26] := {34}
  tii[16,27] := {36}
  tii[16,28] := {15, 16}
  tii[16,29] := {43}
  tii[16,30] := {32}
  tii[16,31] := {23, 24}
  tii[16,32] := {8, 9}
  tii[16,33] := {37, 38}
  tii[16,34] := {2, 3}
  tii[16,35] := {27, 28}
  tii[16,36] := {6, 7}

cell#32 , |C| = 10
special orbit = [5, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1, 1]] , dim = 10
cell rep = phi[[],[3, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[15,1] := {8}
  tii[15,2] := {6}
  tii[15,3] := {2}
  tii[15,4] := {0}
  tii[15,5] := {9}
  tii[15,6] := {7}
  tii[15,7] := {5}
  tii[15,8] := {4}
  tii[15,9] := {1}
  tii[15,10] := {3}

cell#33 , |C| = 10
special orbit = [5, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1, 1]] , dim = 10
cell rep = phi[[],[3, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[15,1] := {8}
  tii[15,2] := {6}
  tii[15,3] := {2}
  tii[15,4] := {0}
  tii[15,5] := {9}
  tii[15,6] := {7}
  tii[15,7] := {5}
  tii[15,8] := {4}
  tii[15,9] := {1}
  tii[15,10] := {3}

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

cell#35 , |C| = 10
special orbit = [5, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [3, 1, 1, 1]] , dim = 10
cell rep = phi[[],[3, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 10*X
TII subcells:
  tii[15,1] := {9}
  tii[15,2] := {4}
  tii[15,3] := {8}
  tii[15,4] := {6}
  tii[15,5] := {0}
  tii[15,6] := {3}
  tii[15,7] := {7}
  tii[15,8] := {2}
  tii[15,9] := {5}
  tii[15,10] := {1}

cell#36 , |C| = 5
special orbit = [3, 1, 1, 1, 1, 1, 1, 1, 1, 1]
special rep = [[], [2, 1, 1, 1, 1]] , dim = 5
cell rep = phi[[],[2, 1, 1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = 5*X
TII subcells:
  tii[6,1] := {4}
  tii[6,2] := {0}
  tii[6,3] := {3}
  tii[6,4] := {1}
  tii[6,5] := {2}