| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| bbaccc |
0 | 0 | 25000 |
| babccc |
0 | 0 | 25000 |
| bbccca |
0 | 0 | 25000 |
| bacccb |
0 | 0 | 25000 |
| bcccba |
0 | 0 | 25000 |
| bcccab |
0 | 0 | 25000 |
| bcbacc |
0 | 1136 | 23864 |
| baccbc |
0 | 1171 | 23829 |
| bcbcca |
0 | 1377 | 23623 |
| bccabc |
0 | 1402 | 23598 |
| bacbcc |
0 | 4918 | 20082 |
| bcabcc |
0 | 5086 | 19914 |
| bccbca |
0 | 5475 | 19525 |
| bccbac |
0 | 5507 | 19493 |
| bbccac |
0 | 11671 | 13329 |
| bbcacc |
0 | 11700 | 13300 |
| bcacbc |
0 | 11800 | 13200 |
| bcaccb |
0 | 11807 | 13193 |
| bccacb |
0 | 12259 | 12741 |
| bcbcac |
0 | 12339 | 12661 |
|