A3

# point representatives from the cells that are positive
# semi-definite in the reflection representation

face   {1, 2}

                                   [0, 0, 0]

face   {2}

[1, 0, 1]   {}   {1}   {6}
                                   [0, 0, 1]

face   {1}

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

face   {}

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

                                              2
                                 1 + 3 q + 3 q

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

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