B3

# point representatives from cells that are psd in all irreps

face   {1, 2, 3}

                                  [0, 0, 0, 0]

face   {2, 3}

[1, 0, 0]   {}   {1}   {}
                                  [0, 0, 0, 1]

face   {1, 3}

[0, 1, 0]   {}   {2}   {4}
                                  [0, 0, 0, 1]

face   {3}

[0, 1/2, 0]   {5}   {4}   {}
                                  [0, 0, 1, 0]

face   {1, 2}

                                  [0, 0, 0, 0]

face   {2}

[1, 0, 1]   {}   {1, 3}   {8}
                                  [0, 0, 0, 1]

face   {1}

[0, 1/2, 1/2]   {2, 3}   {4, 6}   {9}
                                  [0, 0, 0, 1]

face   {}

[1, 1, 1]   {}   {1, 2, 3}   {5, 6}
[0, 1/2, 1]   {5}   {3, 4}   {6}
[1/4, 3/8, 5/8]   {3, 5}   {4, 6}   {8}
[1/4, 3/4, 1/4]   {1, 2, 3}   {5, 6}   {4, 8}
[0, 1/4, 1/4]   {9}   {7}   {}
[0, 0, 0]   {7}   {}   {}
[1/4, 3/8, 3/8]   {5, 6}   {4, 8}   {9}
                                  [1, 1, 4, 1]

                                         2      3
                              1 + q + 5 q  + 5 q

# representatives from the maximal psd cells
# Format: fund.wt.coords  co-dim  J  <1  =1  >1

[1/4, 3/8, 3/8]   2   {}   {5, 6}   {4, 8}   {9}
[0, 0, 0]   0   {}   {7}   {}   {}
[1/4, 3/4, 1/4]   2   {}   {1, 2, 3}   {5, 6}   {4, 8}
[1/4, 3/8, 5/8]   2   {}   {3, 5}   {4, 6}   {8}
[0, 1/2, 1]   2   {}   {5}   {3, 4}   {6}
[1, 1, 1]   3   {}   {}   {1, 2, 3}   {5, 6}