| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| Abaccd |
0 | 25000 |
| Adbacc |
0 | 25000 |
| Adabcc |
0 | 25000 |
| Adcbac |
0 | 25000 |
| Adcabc |
0 | 25000 |
| Adccba |
0 | 25000 |
| Adacbc |
2336 | 22664 |
| Abdacc |
2763 | 22237 |
| Adcbca |
3790 | 21210 |
| Adbcac |
3992 | 21008 |
| Abcadc |
5156 | 19844 |
| Acbdac |
5629 | 19371 |
| Abcacd |
5737 | 19263 |
| Aadbcc |
5935 | 19065 |
| Aabdcc |
6600 | 18400 |
| Aabcdc |
7787 | 17213 |
| Aacbdc |
7841 | 17159 |
| Abacdc |
8552 | 16448 |
| Aadcbc |
8693 | 16307 |
| Acdbac |
8697 | 16303 |
| Abadcc |
8935 | 16065 |
| Abcdac |
9289 | 15711 |
| Abccda |
9870 | 15130 |
| Abccad |
10112 | 14888 |
| Acbadc |
10124 | 14876 |
| Adbcca |
11589 | 13411 |
| Abcdca |
12292 | 12708 |
| Abdcac |
13287 | 11713 |
| Abdcca |
13610 | 11390 |
| Aacdbc |
14297 | 10703 |
|