A3

# a list of representative points in the maximal cells

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