| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Adcaab |
0 | 25000 |
| Adcbaa |
0 | 25000 |
| Adaacb |
0 | 25000 |
| Adaabc |
0 | 25000 |
| Adbcaa |
0 | 25000 |
| Adbaac |
0 | 25000 |
| Adacab |
209 | 24791 |
| Adbaca |
1531 | 23469 |
| Adacba |
2370 | 22630 |
| Aadcab |
2887 | 22113 |
| Aadacb |
3670 | 21330 |
| Acdaab |
4723 | 20277 |
| Adabca |
5671 | 19329 |
| Acdbaa |
5870 | 19130 |
| Acdaba |
6252 | 18748 |
| Acbada |
6673 | 18327 |
| Acadba |
6939 | 18061 |
| Adabac |
7821 | 17179 |
| Adcaba |
8460 | 16540 |
| Acabda |
8836 | 16164 |
| Aacadb |
8854 | 16146 |
| Aaacdb |
8974 | 16026 |
| Acadab |
8980 | 16020 |
| Aaadcb |
9099 | 15901 |
| Aadbca |
9310 | 15690 |
| Acaadb |
9374 | 15626 |
| Aacdab |
9468 | 15532 |
| Aadcba |
11385 | 13615 |
| Acbdaa |
12093 | 12907 |
| Aacdba |
13213 | 11787 |
|