| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| bbadcc |
0 | 0 | 0 | 30000 |
| bbacdc |
0 | 0 | 0 | 30000 |
| bbaccd |
0 | 0 | 0 | 30000 |
| babdcc |
0 | 0 | 0 | 30000 |
| babcdc |
0 | 0 | 0 | 30000 |
| badbcc |
0 | 0 | 9 | 29991 |
| badcbc |
0 | 0 | 1397 | 28603 |
| bacbdc |
0 | 3 | 233 | 29764 |
| baccbd |
0 | 10 | 2374 | 27616 |
| bacbcd |
0 | 13 | 91 | 29896 |
| bdacbc |
0 | 33 | 2279 | 27688 |
| bacdbc |
0 | 59 | 2902 | 27039 |
| bbcadc |
0 | 872 | 8554 | 20574 |
| bdbcac |
0 | 1408 | 5973 | 22619 |
| bbdacc |
0 | 2486 | 5407 | 22107 |
| bbdcac |
39 | 3337 | 11712 | 14912 |
|