| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| BdcAab |
0 | 0 | 0 | 5000 |
| BdcAba |
0 | 0 | 0 | 5000 |
| BcdAab |
0 | 0 | 0 | 5000 |
| BcdAba |
0 | 0 | 0 | 5000 |
| BdcaAb |
0 | 0 | 1677 | 3323 |
| BdcbAa |
0 | 0 | 1677 | 3323 |
| BcdaAb |
0 | 0 | 1757 | 3243 |
| BcdbAa |
0 | 0 | 1757 | 3243 |
| BadcAb |
0 | 0 | 2209 | 2791 |
| BdAcab |
0 | 0 | 2210 | 2790 |
| BdAcba |
0 | 0 | 2210 | 2790 |
| BcAdab |
0 | 0 | 2383 | 2617 |
| BcAdba |
0 | 0 | 2383 | 2617 |
| BaAcdb |
0 | 0 | 2422 | 2578 |
| BacdAb |
0 | 0 | 2571 | 2429 |
| BaAdcb |
0 | 0 | 2884 | 2116 |
| BdacAb |
0 | 0 | 3039 | 1961 |
| BdbcAa |
0 | 0 | 3039 | 1961 |
| BcdabA |
0 | 0 | 3053 | 1947 |
| BcdbaA |
0 | 0 | 3053 | 1947 |
| BAdcab |
0 | 0 | 3929 | 1071 |
| BAdcba |
0 | 0 | 3929 | 1071 |
| BAcdab |
0 | 0 | 3972 | 1028 |
| BAcdba |
0 | 0 | 3972 | 1028 |
| BdcabA |
0 | 101 | 3108 | 1791 |
| BdcbaA |
0 | 101 | 3108 | 1791 |
| BadAcb |
0 | 110 | 2989 | 1901 |
| BacAdb |
0 | 131 | 2990 | 1879 |
| BAcadb |
0 | 157 | 3944 | 899 |
| BAcbda |
0 | 157 | 3944 | 899 |
| BdAabc |
0 | 235 | 2103 | 2662 |
| BdAbac |
0 | 235 | 2103 | 2662 |
| BdaAcb |
0 | 258 | 1872 | 2870 |
| BdbAca |
0 | 258 | 1872 | 2870 |
| BAacdb |
0 | 304 | 3823 | 873 |
| BAbcda |
0 | 304 | 3823 | 873 |
| BcaAdb |
0 | 337 | 2057 | 2606 |
| BcbAda |
0 | 337 | 2057 | 2606 |
| BAadcb |
0 | 340 | 3782 | 878 |
| BAbdca |
0 | 340 | 3782 | 878 |
| BdabAc |
0 | 400 | 1958 | 2642 |
| BdbaAc |
0 | 400 | 1958 | 2642 |
| BdAacb |
0 | 463 | 2238 | 2299 |
| BdAbca |
0 | 463 | 2238 | 2299 |
| BdabcA |
0 | 574 | 2984 | 1442 |
| BdbacA |
0 | 574 | 2984 | 1442 |
| BAdbca |
0 | 575 | 3354 | 1071 |
| BdacbA |
0 | 595 | 3179 | 1226 |
| BdbcaA |
0 | 595 | 3179 | 1226 |
| BbcadA |
0 | 648 | 3118 | 1234 |
| BdaAbc |
0 | 874 | 1787 | 2339 |
| BdbAac |
0 | 874 | 1787 | 2339 |
| BcabdA |
0 | 1008 | 2689 | 1303 |
| BcbadA |
0 | 1008 | 2689 | 1303 |
| BcAadb |
0 | 1132 | 2209 | 1659 |
| BcAbda |
0 | 1132 | 2209 | 1659 |
| BcadAb |
0 | 1146 | 2191 | 1663 |
| BcbdAa |
0 | 1146 | 2191 | 1663 |
| BcadbA |
0 | 1274 | 2705 | 1021 |
| BcbdaA |
0 | 1274 | 2705 | 1021 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2,4;6) |
A1325A2416(W )2Y Y
| |
| Fl(1,2,4;6) |
A1325A2416V W Y Y
| |
| Fl(2,3,4;6) |
A1325A2416W X Y Y
| |
| Fl(2,4,5;6) |
A13254A24163(W )2Y Z
| |
| Fl(1,2,3,4;6) |
A1325A2416V X Y Y
| |
| Fl(1,2,4,5;6) |
A13254A24163V W Y Z
| |
| Fl(2,3,4,5;6) |
A13254A24163W X Y Z
| |
|
|