| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| aAccbbb |
0 | 25000 |
| acAbbbc |
631 | 24369 |
| acAbbcb |
2768 | 22232 |
| aAcbbbc |
3001 | 21999 |
| aAcbbcb |
3148 | 21852 |
| acAcbbb |
3483 | 21517 |
| aAbcbcb |
4648 | 20352 |
| abAcbcb |
4963 | 20037 |
| aAcbcbb |
5149 | 19851 |
| abAccbb |
5508 | 19492 |
| acbAcbb |
5628 | 19372 |
| aAbbbcc |
6233 | 18767 |
| acbbAcb |
6507 | 18493 |
| abAbccb |
7825 | 17175 |
| acbbcAb |
8080 | 16920 |
| aAbccbb |
8356 | 16644 |
| aAbbccb |
8667 | 16333 |
| abcAbcb |
8916 | 16084 |
| abcAcbb |
8994 | 16006 |
| acbcAbb |
9776 | 15224 |
| accAbbb |
10379 | 14621 |
| acAbcbb |
11020 | 13980 |
| aAbcbbc |
11175 | 13825 |
| acbAbcb |
11624 | 13376 |
| acbcbAb |
11818 | 13182 |
| aAbbcbc |
12809 | 12191 |
| abccAbb |
13357 | 11643 |
| accbAbb |
14731 | 10269 |
| accbbAb |
15896 | 9104 |
| acbAbbc |
17658 | 7342 |
|