| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Adcaab |
0 | 25000 |
| Adcbaa |
0 | 25000 |
| Acdaab |
0 | 25000 |
| Acdbaa |
0 | 25000 |
| Adaabc |
2250 | 22750 |
| Aaadcb |
2693 | 22307 |
| Acaadb |
2970 | 22030 |
| Aadcab |
3153 | 21847 |
| Adbaac |
3169 | 21831 |
| Aaacdb |
3210 | 21790 |
| Acbdaa |
3541 | 21459 |
| Aacdab |
3595 | 21405 |
| Aadcba |
4320 | 20680 |
| Adcaba |
5110 | 19890 |
| Adacab |
5216 | 19784 |
| Aacdba |
5299 | 19701 |
| Adabac |
5508 | 19492 |
| Acadab |
5562 | 19438 |
| Acadba |
6795 | 18205 |
| Aacadb |
7566 | 17434 |
| Adabca |
8016 | 16984 |
| Acdaba |
8379 | 16621 |
| Acabda |
8462 | 16538 |
| Adacba |
8517 | 16483 |
| Aadacb |
9816 | 15184 |
| Adbaca |
10419 | 14581 |
| Aadbca |
10722 | 14278 |
| Adbcaa |
11359 | 13641 |
| Acbada |
12312 | 12688 |
| Adaacb |
13177 | 11823 |
|