cyclic orientable  metric  topological
             all  sym  all  sym  all  sym  all  sym
box=0x2x4:     1    1    1    1    1    1    1    1
box=0x3x3:     2    2    2    2    1    1    1    1
box=1x1x2:    20   17   14   12   12   10    9    7    4
box=1x1x3:    77   28   33   18   29   15   15    7    5
box=1x1x4:     6    5    5    5    4    4    3    3    3
box=1x2x2:   466   87  205   61  166   43  102   34   32
box=1x2x3:   388   55  106   42   82   33   40   14    9
box=1x3x3:     4    4    4    4    4    4    2    2    1
box=2x2x2:   619   64  169   53  127   38   77   30   32
box=2x2x3:   135   28   43   19   29   10   15    6    6
total:      1718  291  582  217  455  159  265  105