| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| CacbAB |
0 | 10000 |
| CacbBA |
0 | 10000 |
| CabcAB |
0 | 10000 |
| CabcBA |
0 | 10000 |
| CcabAB |
0 | 10000 |
| CcabBA |
0 | 10000 |
| CcbaAB |
0 | 10000 |
| CcbaBA |
0 | 10000 |
| CABacb |
0 | 10000 |
| CABcab |
0 | 10000 |
| CBAacb |
0 | 10000 |
| CBAcab |
0 | 10000 |
| CaBcAb |
267 | 9733 |
| CaAcBb |
267 | 9733 |
| CacABb |
399 | 9601 |
| CacBAb |
399 | 9601 |
| CabAcB |
705 | 9295 |
| CabBcA |
705 | 9295 |
| CaABcb |
730 | 9270 |
| CaBAcb |
730 | 9270 |
| CAcBab |
740 | 9260 |
| CBcAab |
740 | 9260 |
| CcaABb |
1525 | 8475 |
| CcaBAb |
1525 | 8475 |
| CacAbB |
2179 | 7821 |
| CacBbA |
2179 | 7821 |
| CAaBcb |
2188 | 7812 |
| CBaAcb |
2188 | 7812 |
| CAcbaB |
2231 | 7769 |
| CAabcB |
2248 | 7752 |
| CcbAaB |
2309 | 7691 |
| CcbBaA |
2309 | 7691 |
| CaABbc |
2415 | 7585 |
| CaBAbc |
2415 | 7585 |
| CcaAbB |
2544 | 7456 |
| CcaBbA |
2544 | 7456 |
| CAcabB |
2749 | 7251 |
| CAbacB |
2766 | 7234 |
| CaAcbB |
2874 | 7126 |
| CaBcbA |
2874 | 7126 |
| CabBAc |
3094 | 6906 |
| CcBAba |
3196 | 6804 |
| CAbcaB |
3264 | 6736 |
| CAacbB |
3266 | 6734 |
| CaAbcB |
3277 | 6723 |
| CaBbcA |
3277 | 6723 |
| CcAabB |
3717 | 6283 |
| CcBabA |
3717 | 6283 |
| CaAbBc |
3864 | 6136 |
| CcAaBb |
3917 | 6083 |
| CcBaAb |
3917 | 6083 |
| CcAbBa |
3926 | 6074 |
| CAacBb |
3998 | 6002 |
| CBacAb |
3998 | 6002 |
| CBabAc |
4016 | 5984 |
| CcABab |
4027 | 5973 |
| CcBAab |
4027 | 5973 |
| CcBbaA |
4096 | 5904 |
| CAcaBb |
4166 | 5834 |
| CBcaAb |
4166 | 5834 |
| |
| Projections |
| Variety | Problem | # |
| Fl(1,3;6) |
A315(V )2X X X
| |
| Fl(1,2,3;6) |
A315(V )2W X X
| |
| Fl(1,3,5;6) |
A21346A31526V X X X
| |
| Fl(1,2,3,5;6) |
A21346A31526V W X X
| |
| Fl(1,3,4,5;6) |
A21354A21346A31526X X X
| |
|
|