TII subcells for the SU(5,2) x PGL(7,R) block of SL7
#
cell#0 , |C| = 15
special orbit = [5, 1, 1]
special rep = [5, 1, 1] , dim = 15
cell rep = phi[5,1,1]
TII depth = 1
TII multiplicity polynomial = 15*X
TII subcells:
  tii[12,1] := {0}
  tii[12,2] := {9}
  tii[12,3] := {1}
  tii[12,4] := {6}
  tii[12,5] := {3}
  tii[12,6] := {14}
  tii[12,7] := {10}
  tii[12,8] := {12}
  tii[12,9] := {11}
  tii[12,10] := {2}
  tii[12,11] := {7}
  tii[12,12] := {4}
  tii[12,13] := {13}
  tii[12,14] := {8}
  tii[12,15] := {5}

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

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

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

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

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

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

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

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

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

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

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

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

cell#13 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1]
special rep = [1, 1, 1, 1, 1, 1, 1] , dim = 1
cell rep = phi[1,1,1,1,1,1,1]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}