| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| BdAcba |
0 | 0 | 0 | 15000 |
| BacbdA |
0 | 0 | 0 | 15000 |
| BacbAd |
0 | 0 | 0 | 15000 |
| BabcdA |
0 | 0 | 0 | 15000 |
| BdAacb |
0 | 0 | 0 | 15000 |
| BdAabc |
0 | 0 | 0 | 15000 |
| BdAcab |
0 | 0 | 0 | 15000 |
| BdAbac |
0 | 0 | 0 | 15000 |
| BcabdA |
0 | 0 | 0 | 15000 |
| BcbadA |
0 | 0 | 0 | 15000 |
| BAdacb |
0 | 0 | 0 | 15000 |
| BAdcab |
0 | 0 | 0 | 15000 |
| BAcdab |
0 | 0 | 950 | 14050 |
| BdcbaA |
0 | 0 | 1958 | 13042 |
| BdabcA |
0 | 0 | 2565 | 12435 |
| BdcabA |
0 | 0 | 2656 | 12344 |
| BabAcd |
0 | 0 | 2969 | 12031 |
| BadbcA |
0 | 0 | 3165 | 11835 |
| BdacbA |
0 | 0 | 3460 | 11540 |
| BabdcA |
0 | 0 | 3518 | 11482 |
| BcAdab |
0 | 0 | 3671 | 11329 |
| BdbcaA |
0 | 0 | 3847 | 11153 |
| BdbacA |
0 | 0 | 4316 | 10684 |
| BdcAab |
0 | 0 | 4338 | 10662 |
| BdabAc |
0 | 0 | 4811 | 10189 |
| BcdAab |
0 | 0 | 5010 | 9990 |
| BAcadb |
0 | 0 | 5376 | 9624 |
| BadcbA |
0 | 0 | 6024 | 8976 |
| BabAdc |
0 | 0 | 6240 | 8760 |
| BcadbA |
0 | 0 | 6871 | 8129 |
| BacdbA |
0 | 0 | 7224 | 7776 |
| BabdAc |
0 | 0 | 7295 | 7705 |
| BadbAc |
0 | 0 | 7850 | 7150 |
| BcadAb |
0 | 0 | 8196 | 6804 |
| BcdbaA |
0 | 0 | 8270 | 6730 |
| BacAbd |
0 | 0 | 8687 | 6313 |
| BcdabA |
0 | 0 | 9706 | 5294 |
| BaAbcd |
0 | 8 | 6141 | 8851 |
| BdbAac |
0 | 18 | 8117 | 6865 |
| BdbaAc |
0 | 49 | 9959 | 4992 |
| BacAdb |
0 | 123 | 8053 | 6824 |
| BAacdb |
0 | 152 | 4255 | 10593 |
| BadAbc |
0 | 424 | 4026 | 10550 |
| BaAbdc |
0 | 491 | 7055 | 7454 |
| BcAadb |
0 | 601 | 4886 | 9513 |
| BacdAb |
0 | 755 | 3850 | 10395 |
| BAadcb |
0 | 768 | 3423 | 10809 |
| BadAcb |
0 | 823 | 7340 | 6837 |
| BcbdaA |
0 | 869 | 3751 | 10380 |
| BaAcbd |
0 | 872 | 10483 | 3645 |
| BdcaAb |
0 | 944 | 4069 | 9987 |
| BcaAdb |
0 | 1014 | 6772 | 7214 |
| BdacAb |
0 | 1126 | 7317 | 6557 |
| BaAdbc |
0 | 2064 | 6790 | 6146 |
| BdaAbc |
0 | 2193 | 6281 | 6526 |
| BadcAb |
0 | 2662 | 4606 | 7732 |
| BcdaAb |
0 | 3426 | 4699 | 6875 |
| BaAdcb |
51 | 1491 | 4317 | 9141 |
| BaAcdb |
60 | 3102 | 5874 | 5964 |
| BdaAcb |
339 | 1571 | 7485 | 5605 |
| |
| Projections |
| Variety | Problem | # |
| Fl(3,4;6) |
A1254X X X Y Y
| |
| Fl(2,3,4;6) |
A1524W X X Y Y
| |
|
|