TII subcells for the PSp(12,R) x Spin(9,4) block of PSp12
#
cell#0 , |C| = 1
special orbit = [12]
special rep = [[6], []] , dim = 1
cell rep = phi[[6],[]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[26,1] := {0}

cell#1 , |C| = 11
special orbit = [10, 2]
special rep = [[5], [1]] , dim = 6
cell rep = phi[[5, 1],[]]+phi[[5],[1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[25,1] := {1, 10}
  tii[25,2] := {0, 9}
  tii[25,3] := {2, 8}
  tii[25,4] := {3, 7}
  tii[25,5] := {4, 6}
  tii[25,6] := {5}

cell#2 , |C| = 11
special orbit = [10, 2]
special rep = [[5], [1]] , dim = 6
cell rep = phi[[5, 1],[]]+phi[[5],[1]]
TII depth = 1
TII multiplicity polynomial = 5*X^2+X
TII subcells:
  tii[25,1] := {1, 10}
  tii[25,2] := {2, 9}
  tii[25,3] := {0, 7}
  tii[25,4] := {3, 4}
  tii[25,5] := {5, 6}
  tii[25,6] := {8}

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

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

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

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

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

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

cell#9 , |C| = 75
special orbit = [6, 4, 2]
special rep = [[3, 1], [2]] , dim = 45
cell rep = phi[[3, 2],[1]]+phi[[3, 1],[2]]
TII depth = 3
TII multiplicity polynomial = 30*X^2+15*X
TII subcells:
  tii[20,1] := {32, 74}
  tii[20,2] := {62, 63}
  tii[20,3] := {73}
  tii[20,4] := {13, 47}
  tii[20,5] := {39, 40}
  tii[20,6] := {7, 69}
  tii[20,7] := {26, 54}
  tii[20,8] := {59}
  tii[20,9] := {68}
  tii[20,10] := {4, 57}
  tii[20,11] := {18, 72}
  tii[20,12] := {3, 61}
  tii[20,13] := {22, 23}
  tii[20,14] := {9, 70}
  tii[20,15] := {8, 56}
  tii[20,16] := {41, 42}
  tii[20,17] := {48}
  tii[20,18] := {15, 65}
  tii[20,19] := {60}
  tii[20,20] := {37, 38}
  tii[20,21] := {52, 53}
  tii[20,22] := {30, 31}
  tii[20,23] := {58}
  tii[20,24] := {43, 44}
  tii[20,25] := {67}
  tii[20,26] := {66}
  tii[20,27] := {71}
  tii[20,28] := {10, 34}
  tii[20,29] := {19, 20}
  tii[20,30] := {29}
  tii[20,31] := {0, 51}
  tii[20,32] := {1, 46}
  tii[20,33] := {2, 64}
  tii[20,34] := {24, 25}
  tii[20,35] := {5, 55}
  tii[20,36] := {36}
  tii[20,37] := {6, 33}
  tii[20,38] := {50}
  tii[20,39] := {14, 45}
  tii[20,40] := {11, 12}
  tii[20,41] := {21}
  tii[20,42] := {16, 17}
  tii[20,43] := {35}
  tii[20,44] := {27, 28}
  tii[20,45] := {49}

cell#10 , |C| = 81
special orbit = [6, 2, 2, 2]
special rep = [[3, 1], [1, 1]] , dim = 45
cell rep = phi[[3, 1, 1],[1]]+phi[[3, 1],[1, 1]]
TII depth = 3
TII multiplicity polynomial = 36*X^2+9*X
TII subcells:
  tii[18,1] := {5, 76}
  tii[18,2] := {16, 79}
  tii[18,3] := {33, 77}
  tii[18,4] := {11, 66}
  tii[18,5] := {28, 70}
  tii[18,6] := {14, 55}
  tii[18,7] := {47, 69}
  tii[18,8] := {22, 52}
  tii[18,9] := {36}
  tii[18,10] := {39, 75}
  tii[18,11] := {58, 78}
  tii[18,12] := {44, 65}
  tii[18,13] := {60}
  tii[18,14] := {68, 80}
  tii[18,15] := {74}
  tii[18,16] := {0, 20}
  tii[18,17] := {1, 67}
  tii[18,18] := {2, 23}
  tii[18,19] := {3, 63}
  tii[18,20] := {4, 32}
  tii[18,21] := {8, 50}
  tii[18,22] := {6, 34}
  tii[18,23] := {7, 43}
  tii[18,24] := {13, 38}
  tii[18,25] := {10, 46}
  tii[18,26] := {9, 73}
  tii[18,27] := {26}
  tii[18,28] := {15, 61}
  tii[18,29] := {17, 57}
  tii[18,30] := {21, 42}
  tii[18,31] := {37}
  tii[18,32] := {25, 72}
  tii[18,33] := {41}
  tii[18,34] := {12, 24}
  tii[18,35] := {18, 62}
  tii[18,36] := {19, 31}
  tii[18,37] := {27, 49}
  tii[18,38] := {29, 45}
  tii[18,39] := {30, 54}
  tii[18,40] := {35, 59}
  tii[18,41] := {51}
  tii[18,42] := {53}
  tii[18,43] := {40, 56}
  tii[18,44] := {48, 71}
  tii[18,45] := {64}

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

cell#12 , |C| = 75
special orbit = [6, 4, 2]
special rep = [[3, 1], [2]] , dim = 45
cell rep = phi[[3, 2],[1]]+phi[[3, 1],[2]]
TII depth = 3
TII multiplicity polynomial = 30*X^2+15*X
TII subcells:
  tii[20,1] := {36, 71}
  tii[20,2] := {62, 73}
  tii[20,3] := {74}
  tii[20,4] := {8, 9}
  tii[20,5] := {24, 25}
  tii[20,6] := {12, 59}
  tii[20,7] := {32, 58}
  tii[20,8] := {43}
  tii[20,9] := {56}
  tii[20,10] := {18, 19}
  tii[20,11] := {26, 66}
  tii[20,12] := {7, 31}
  tii[20,13] := {38, 39}
  tii[20,14] := {14, 61}
  tii[20,15] := {15, 41}
  tii[20,16] := {44, 65}
  tii[20,17] := {53}
  tii[20,18] := {22, 51}
  tii[20,19] := {64}
  tii[20,20] := {47, 48}
  tii[20,21] := {54, 70}
  tii[20,22] := {37, 57}
  tii[20,23] := {63}
  tii[20,24] := {45, 67}
  tii[20,25] := {69}
  tii[20,26] := {68}
  tii[20,27] := {72}
  tii[20,28] := {1, 2}
  tii[20,29] := {5, 6}
  tii[20,30] := {11}
  tii[20,31] := {0, 20}
  tii[20,32] := {4, 28}
  tii[20,33] := {3, 52}
  tii[20,34] := {16, 17}
  tii[20,35] := {10, 42}
  tii[20,36] := {23}
  tii[20,37] := {13, 40}
  tii[20,38] := {33}
  tii[20,39] := {21, 50}
  tii[20,40] := {29, 30}
  tii[20,41] := {35}
  tii[20,42] := {27, 49}
  tii[20,43] := {46}
  tii[20,44] := {34, 60}
  tii[20,45] := {55}

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

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

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

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

cell#17 , |C| = 81
special orbit = [6, 2, 2, 2]
special rep = [[3, 1], [1, 1]] , dim = 45
cell rep = phi[[3, 1, 1],[1]]+phi[[3, 1],[1, 1]]
TII depth = 3
TII multiplicity polynomial = 36*X^2+9*X
TII subcells:
  tii[18,1] := {20, 56}
  tii[18,2] := {18, 74}
  tii[18,3] := {17, 80}
  tii[18,4] := {30, 52}
  tii[18,5] := {26, 71}
  tii[18,6] := {40, 41}
  tii[18,7] := {23, 79}
  tii[18,8] := {50, 51}
  tii[18,9] := {60}
  tii[18,10] := {39, 61}
  tii[18,11] := {34, 76}
  tii[18,12] := {48, 49}
  tii[18,13] := {59}
  tii[18,14] := {47, 68}
  tii[18,15] := {58}
  tii[18,16] := {0, 31}
  tii[18,17] := {15, 42}
  tii[18,18] := {1, 43}
  tii[18,19] := {10, 54}
  tii[18,20] := {2, 55}
  tii[18,21] := {6, 65}
  tii[18,22] := {3, 57}
  tii[18,23] := {27, 28}
  tii[18,24] := {37, 38}
  tii[18,25] := {4, 67}
  tii[18,26] := {14, 66}
  tii[18,27] := {46}
  tii[18,28] := {9, 73}
  tii[18,29] := {7, 75}
  tii[18,30] := {24, 25}
  tii[18,31] := {33}
  tii[18,32] := {12, 78}
  tii[18,33] := {22}
  tii[18,34] := {5, 53}
  tii[18,35] := {21, 63}
  tii[18,36] := {8, 64}
  tii[18,37] := {13, 70}
  tii[18,38] := {11, 72}
  tii[18,39] := {35, 36}
  tii[18,40] := {19, 77}
  tii[18,41] := {45}
  tii[18,42] := {32}
  tii[18,43] := {16, 62}
  tii[18,44] := {29, 69}
  tii[18,45] := {44}

cell#18 , |C| = 56
special orbit = [6, 4, 1, 1]
special rep = [[3], [2, 1]] , dim = 40
cell rep = phi[[3, 2, 1],[]]+phi[[3],[2, 1]]
TII depth = 2
TII multiplicity polynomial = 16*X^2+24*X
TII subcells:
  tii[19,1] := {11, 46}
  tii[19,2] := {29, 49}
  tii[19,3] := {47}
  tii[19,4] := {52}
  tii[19,5] := {5, 37}
  tii[19,6] := {18, 42}
  tii[19,7] := {2, 27}
  tii[19,8] := {4, 24}
  tii[19,9] := {39}
  tii[19,10] := {12}
  tii[19,11] := {50}
  tii[19,12] := {28, 45}
  tii[19,13] := {19, 36}
  tii[19,14] := {48}
  tii[19,15] := {32}
  tii[19,16] := {53}
  tii[19,17] := {51}
  tii[19,18] := {44}
  tii[19,19] := {54}
  tii[19,20] := {55}
  tii[19,21] := {6, 38}
  tii[19,22] := {10, 34}
  tii[19,23] := {22}
  tii[19,24] := {0, 17}
  tii[19,25] := {1, 14}
  tii[19,26] := {20, 43}
  tii[19,27] := {7}
  tii[19,28] := {31}
  tii[19,29] := {3, 16}
  tii[19,30] := {40}
  tii[19,31] := {13}
  tii[19,32] := {15}
  tii[19,33] := {9, 33}
  tii[19,34] := {21}
  tii[19,35] := {8, 26}
  tii[19,36] := {30}
  tii[19,37] := {23}
  tii[19,38] := {25}
  tii[19,39] := {41}
  tii[19,40] := {35}

cell#19 , |C| = 56
special orbit = [6, 4, 1, 1]
special rep = [[3], [2, 1]] , dim = 40
cell rep = phi[[3, 2, 1],[]]+phi[[3],[2, 1]]
TII depth = 2
TII multiplicity polynomial = 16*X^2+24*X
TII subcells:
  tii[19,1] := {11, 46}
  tii[19,2] := {29, 49}
  tii[19,3] := {47}
  tii[19,4] := {52}
  tii[19,5] := {5, 37}
  tii[19,6] := {18, 42}
  tii[19,7] := {2, 27}
  tii[19,8] := {4, 24}
  tii[19,9] := {39}
  tii[19,10] := {12}
  tii[19,11] := {50}
  tii[19,12] := {28, 45}
  tii[19,13] := {19, 36}
  tii[19,14] := {48}
  tii[19,15] := {32}
  tii[19,16] := {53}
  tii[19,17] := {51}
  tii[19,18] := {44}
  tii[19,19] := {54}
  tii[19,20] := {55}
  tii[19,21] := {6, 38}
  tii[19,22] := {10, 34}
  tii[19,23] := {22}
  tii[19,24] := {0, 17}
  tii[19,25] := {1, 14}
  tii[19,26] := {20, 43}
  tii[19,27] := {7}
  tii[19,28] := {31}
  tii[19,29] := {3, 16}
  tii[19,30] := {40}
  tii[19,31] := {13}
  tii[19,32] := {15}
  tii[19,33] := {9, 33}
  tii[19,34] := {21}
  tii[19,35] := {8, 26}
  tii[19,36] := {30}
  tii[19,37] := {23}
  tii[19,38] := {25}
  tii[19,39] := {41}
  tii[19,40] := {35}

cell#20 , |C| = 81
special orbit = [6, 2, 2, 2]
special rep = [[3, 1], [1, 1]] , dim = 45
cell rep = phi[[3, 1, 1],[1]]+phi[[3, 1],[1, 1]]
TII depth = 3
TII multiplicity polynomial = 36*X^2+9*X
TII subcells:
  tii[18,1] := {39, 79}
  tii[18,2] := {22, 71}
  tii[18,3] := {45, 69}
  tii[18,4] := {56, 80}
  tii[18,5] := {7, 60}
  tii[18,6] := {51, 78}
  tii[18,7] := {30, 59}
  tii[18,8] := {58, 76}
  tii[18,9] := {72}
  tii[18,10] := {20, 67}
  tii[18,11] := {44, 70}
  tii[18,12] := {26, 53}
  tii[18,13] := {47}
  tii[18,14] := {57, 74}
  tii[18,15] := {66}
  tii[18,16] := {15, 16}
  tii[18,17] := {25, 77}
  tii[18,18] := {4, 32}
  tii[18,19] := {13, 73}
  tii[18,20] := {14, 43}
  tii[18,21] := {24, 64}
  tii[18,22] := {3, 17}
  tii[18,23] := {36, 75}
  tii[18,24] := {40, 68}
  tii[18,25] := {10, 29}
  tii[18,26] := {9, 65}
  tii[18,27] := {63}
  tii[18,28] := {19, 48}
  tii[18,29] := {23, 42}
  tii[18,30] := {28, 55}
  tii[18,31] := {49}
  tii[18,32] := {33, 62}
  tii[18,33] := {54}
  tii[18,34] := {0, 5}
  tii[18,35] := {1, 50}
  tii[18,36] := {2, 12}
  tii[18,37] := {6, 34}
  tii[18,38] := {8, 27}
  tii[18,39] := {11, 38}
  tii[18,40] := {18, 46}
  tii[18,41] := {35}
  tii[18,42] := {37}
  tii[18,43] := {21, 41}
  tii[18,44] := {31, 61}
  tii[18,45] := {52}

cell#21 , |C| = 81
special orbit = [6, 2, 2, 2]
special rep = [[3, 1], [1, 1]] , dim = 45
cell rep = phi[[3, 1, 1],[1]]+phi[[3, 1],[1, 1]]
TII depth = 3
TII multiplicity polynomial = 36*X^2+9*X
TII subcells:
  tii[18,1] := {20, 80}
  tii[18,2] := {18, 75}
  tii[18,3] := {17, 64}
  tii[18,4] := {29, 79}
  tii[18,5] := {27, 70}
  tii[18,6] := {40, 77}
  tii[18,7] := {25, 55}
  tii[18,8] := {50, 71}
  tii[18,9] := {62}
  tii[18,10] := {39, 76}
  tii[18,11] := {38, 59}
  tii[18,12] := {49, 72}
  tii[18,13] := {61}
  tii[18,14] := {48, 69}
  tii[18,15] := {63}
  tii[18,16] := {0, 34}
  tii[18,17] := {15, 78}
  tii[18,18] := {1, 45}
  tii[18,19] := {10, 74}
  tii[18,20] := {2, 57}
  tii[18,21] := {6, 67}
  tii[18,22] := {3, 33}
  tii[18,23] := {26, 73}
  tii[18,24] := {36, 65}
  tii[18,25] := {4, 44}
  tii[18,26] := {14, 68}
  tii[18,27] := {52}
  tii[18,28] := {9, 58}
  tii[18,29] := {7, 35}
  tii[18,30] := {24, 56}
  tii[18,31] := {42}
  tii[18,32] := {12, 51}
  tii[18,33] := {30}
  tii[18,34] := {5, 22}
  tii[18,35] := {21, 60}
  tii[18,36] := {8, 32}
  tii[18,37] := {13, 47}
  tii[18,38] := {11, 23}
  tii[18,39] := {37, 66}
  tii[18,40] := {19, 41}
  tii[18,41] := {53}
  tii[18,42] := {43}
  tii[18,43] := {16, 31}
  tii[18,44] := {28, 46}
  tii[18,45] := {54}

cell#22 , |C| = 81
special orbit = [6, 2, 2, 2]
special rep = [[3, 1], [1, 1]] , dim = 45
cell rep = phi[[3, 1, 1],[1]]+phi[[3, 1],[1, 1]]
TII depth = 3
TII multiplicity polynomial = 36*X^2+9*X
TII subcells:
  tii[18,1] := {20, 80}
  tii[18,2] := {18, 75}
  tii[18,3] := {17, 64}
  tii[18,4] := {29, 79}
  tii[18,5] := {27, 70}
  tii[18,6] := {40, 77}
  tii[18,7] := {25, 55}
  tii[18,8] := {50, 71}
  tii[18,9] := {62}
  tii[18,10] := {39, 76}
  tii[18,11] := {38, 59}
  tii[18,12] := {49, 72}
  tii[18,13] := {61}
  tii[18,14] := {48, 69}
  tii[18,15] := {63}
  tii[18,16] := {0, 34}
  tii[18,17] := {15, 78}
  tii[18,18] := {1, 45}
  tii[18,19] := {10, 74}
  tii[18,20] := {2, 57}
  tii[18,21] := {6, 67}
  tii[18,22] := {3, 33}
  tii[18,23] := {26, 73}
  tii[18,24] := {36, 65}
  tii[18,25] := {4, 44}
  tii[18,26] := {14, 68}
  tii[18,27] := {52}
  tii[18,28] := {9, 58}
  tii[18,29] := {7, 35}
  tii[18,30] := {24, 56}
  tii[18,31] := {42}
  tii[18,32] := {12, 51}
  tii[18,33] := {30}
  tii[18,34] := {5, 22}
  tii[18,35] := {21, 60}
  tii[18,36] := {8, 32}
  tii[18,37] := {13, 47}
  tii[18,38] := {11, 23}
  tii[18,39] := {37, 66}
  tii[18,40] := {19, 41}
  tii[18,41] := {53}
  tii[18,42] := {43}
  tii[18,43] := {16, 31}
  tii[18,44] := {28, 46}
  tii[18,45] := {54}

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

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

cell#25 , |C| = 145
special orbit = [4, 4, 2, 2]
special rep = [[2, 1], [2, 1]] , dim = 80
cell rep = phi[[2, 2, 2],[]]+phi[[2, 2, 1],[1]]+phi[[2, 1],[2, 1]]+phi[[2],[2, 2]]
TII depth = 3
TII multiplicity polynomial = 50*X^2+25*X+5*X^4
TII subcells:
  tii[13,1] := {56, 111}
  tii[13,2] := {121}
  tii[13,3] := {54, 55, 98, 100}
  tii[13,4] := {81, 125}
  tii[13,5] := {47, 93}
  tii[13,6] := {133}
  tii[13,7] := {103, 104}
  tii[13,8] := {123, 124}
  tii[13,9] := {101, 132}
  tii[13,10] := {139}
  tii[13,11] := {91, 120}
  tii[13,12] := {126, 127}
  tii[13,13] := {106}
  tii[13,14] := {135, 136}
  tii[13,15] := {140}
  tii[13,16] := {143, 144}
  tii[13,17] := {9, 10}
  tii[13,18] := {15, 69}
  tii[13,19] := {35}
  tii[13,20] := {65}
  tii[13,21] := {21, 22}
  tii[13,22] := {31, 32, 74, 76}
  tii[13,23] := {36, 92}
  tii[13,24] := {8, 45}
  tii[13,25] := {25, 70}
  tii[13,26] := {84, 85}
  tii[13,27] := {13, 14, 51, 53}
  tii[13,28] := {57}
  tii[13,29] := {16, 71}
  tii[13,30] := {109, 110}
  tii[13,31] := {39, 40}
  tii[13,32] := {90}
  tii[13,33] := {82}
  tii[13,34] := {95, 96}
  tii[13,35] := {44, 86}
  tii[13,36] := {73, 75}
  tii[13,37] := {107}
  tii[13,38] := {62}
  tii[13,39] := {117, 118}
  tii[13,40] := {130, 131}
  tii[13,41] := {42, 43}
  tii[13,42] := {33, 34, 78, 80}
  tii[13,43] := {58, 112}
  tii[13,44] := {20, 68}
  tii[13,45] := {83}
  tii[13,46] := {63, 64}
  tii[13,47] := {37, 94}
  tii[13,48] := {108}
  tii[13,49] := {67, 105}
  tii[13,50] := {12, 46}
  tii[13,51] := {102}
  tii[13,52] := {113, 114}
  tii[13,53] := {87, 88}
  tii[13,54] := {89}
  tii[13,55] := {122}
  tii[13,56] := {26, 72}
  tii[13,57] := {97, 99}
  tii[13,58] := {128, 129}
  tii[13,59] := {66}
  tii[13,60] := {137, 138}
  tii[13,61] := {119}
  tii[13,62] := {115, 116}
  tii[13,63] := {134}
  tii[13,64] := {141, 142}
  tii[13,65] := {1, 2}
  tii[13,66] := {7}
  tii[13,67] := {0, 24}
  tii[13,68] := {4, 5, 28, 30}
  tii[13,69] := {17}
  tii[13,70] := {18, 19}
  tii[13,71] := {6, 49}
  tii[13,72] := {27, 29}
  tii[13,73] := {3, 23}
  tii[13,74] := {60, 61}
  tii[13,75] := {38}
  tii[13,76] := {11, 48}
  tii[13,77] := {50, 52}
  tii[13,78] := {41}
  tii[13,79] := {59}
  tii[13,80] := {77, 79}

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

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

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

cell#29 , |C| = 64
special orbit = [4, 2, 2, 2, 1, 1]
special rep = [[2, 1], [1, 1, 1]] , dim = 40
cell rep = phi[[2, 1, 1, 1],[1]]+phi[[2, 1],[1, 1, 1]]
TII depth = 2
TII multiplicity polynomial = 16*X+24*X^2
TII subcells:
  tii[10,1] := {9, 49}
  tii[10,2] := {8, 63}
  tii[10,3] := {18, 43}
  tii[10,4] := {15, 60}
  tii[10,5] := {30, 31}
  tii[10,6] := {40}
  tii[10,7] := {29, 53}
  tii[10,8] := {39}
  tii[10,9] := {24, 48}
  tii[10,10] := {32, 62}
  tii[10,11] := {35, 37}
  tii[10,12] := {46}
  tii[10,13] := {22, 23}
  tii[10,14] := {42, 59}
  tii[10,15] := {54}
  tii[10,16] := {34}
  tii[10,17] := {27}
  tii[10,18] := {50, 61}
  tii[10,19] := {56}
  tii[10,20] := {45}
  tii[10,21] := {0, 25}
  tii[10,22] := {6, 36}
  tii[10,23] := {1, 38}
  tii[10,24] := {3, 47}
  tii[10,25] := {2, 52}
  tii[10,26] := {16, 17}
  tii[10,27] := {5, 58}
  tii[10,28] := {28}
  tii[10,29] := {13}
  tii[10,30] := {11, 12}
  tii[10,31] := {4, 44}
  tii[10,32] := {21}
  tii[10,33] := {10, 55}
  tii[10,34] := {14}
  tii[10,35] := {26}
  tii[10,36] := {20}
  tii[10,37] := {7, 51}
  tii[10,38] := {19, 57}
  tii[10,39] := {41}
  tii[10,40] := {33}

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

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

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

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