| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| aabbbcc |
0 | 25000 |
| aabbccb |
0 | 25000 |
| ababbcc |
0 | 25000 |
| ababccb |
0 | 25000 |
| abbbacc |
93 | 24907 |
| abbbcac |
214 | 24786 |
| abbcbac |
3257 | 21743 |
| aacbbbc |
3339 | 21661 |
| abbcacb |
3589 | 21411 |
| ababcbc |
5648 | 19352 |
| abbcabc |
7004 | 17996 |
| abbabcc |
7304 | 17696 |
| abcabcb |
7548 | 17452 |
| aabcbcb |
8461 | 16539 |
| aabcbbc |
9046 | 15954 |
| aabbcbc |
9644 | 15356 |
| abbacbc |
11237 | 13763 |
| abacbbc |
11966 | 13034 |
|