TII subcells for the GL(7,R) x U(5,2) block of GL7
#
cell#0 , |C| = 1
special orbit = [7]
special rep = [7] , dim = 1
cell rep = phi[7]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[15,1] := {0}

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

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

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

cell#4 , |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] := {14}
  tii[12,2] := {12}
  tii[12,3] := {10}
  tii[12,4] := {4}
  tii[12,5] := {9}
  tii[12,6] := {7}
  tii[12,7] := {2}
  tii[12,8] := {0}
  tii[12,9] := {1}
  tii[12,10] := {6}
  tii[12,11] := {3}
  tii[12,12] := {8}
  tii[12,13] := {5}
  tii[12,14] := {11}
  tii[12,15] := {13}

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

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

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

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

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

cell#10 , |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] := {1}
  tii[12,2] := {6}
  tii[12,3] := {10}
  tii[12,4] := {13}
  tii[12,5] := {14}
  tii[12,6] := {4}
  tii[12,7] := {8}
  tii[12,8] := {11}
  tii[12,9] := {12}
  tii[12,10] := {2}
  tii[12,11] := {7}
  tii[12,12] := {9}
  tii[12,13] := {3}
  tii[12,14] := {5}
  tii[12,15] := {0}

cell#11 , |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] := {13}
  tii[9,3] := {6}
  tii[9,4] := {1}
  tii[9,5] := {18}
  tii[9,6] := {14}
  tii[9,7] := {7}
  tii[9,8] := {17}
  tii[9,9] := {15}
  tii[9,10] := {16}
  tii[9,11] := {12}
  tii[9,12] := {8}
  tii[9,13] := {3}
  tii[9,14] := {11}
  tii[9,15] := {9}
  tii[9,16] := {10}
  tii[9,17] := {5}
  tii[9,18] := {2}
  tii[9,19] := {4}
  tii[9,20] := {0}

cell#12 , |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] := {1}
  tii[9,2] := {7}
  tii[9,3] := {15}
  tii[9,4] := {19}
  tii[9,5] := {3}
  tii[9,6] := {8}
  tii[9,7] := {10}
  tii[9,8] := {2}
  tii[9,9] := {4}
  tii[9,10] := {0}
  tii[9,11] := {6}
  tii[9,12] := {14}
  tii[9,13] := {17}
  tii[9,14] := {9}
  tii[9,15] := {11}
  tii[9,16] := {5}
  tii[9,17] := {13}
  tii[9,18] := {16}
  tii[9,19] := {12}
  tii[9,20] := {18}

cell#13 , |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] := {6}
  tii[5,3] := {1}
  tii[5,4] := {13}
  tii[5,5] := {8}
  tii[5,6] := {11}
  tii[5,7] := {4}
  tii[5,8] := {2}
  tii[5,9] := {3}
  tii[5,10] := {0}
  tii[5,11] := {12}
  tii[5,12] := {7}
  tii[5,13] := {10}
  tii[5,14] := {5}
  tii[5,15] := {9}