| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
| bbadcc |
0 | 0 | 0 | 0 |
0 | 100000 |
| bbacdc |
0 | 0 | 0 | 0 |
0 | 100000 |
| bbaccd |
0 | 0 | 0 | 0 |
0 | 100000 |
| babdcc |
0 | 0 | 0 | 0 |
0 | 100000 |
| babcdc |
0 | 0 | 0 | 0 |
0 | 100000 |
| bbcadc |
0 | 0 | 0 | 16722 |
50766 | 32512 |
| bacbdc |
0 | 0 | 2646 | 28813 |
39267 | 29274 |
| bacdbc |
0 | 0 | 3622 | 8360 |
64658 | 23360 |
| bbdcac |
0 | 0 | 6151 | 15792 |
44091 | 33966 |
| badcbc |
0 | 0 | 7264 | 11090 |
52913 | 28733 |
| bacbcd |
0 | 0 | 8089 | 26719 |
33300 | 31892 |
| baccbd |
0 | 0 | 11539 | 23574 |
36896 | 27991 |
| bbdacc |
0 | 0 | 11979 | 26316 |
29683 | 32022 |
| badbcc |
0 | 0 | 13262 | 32372 |
29016 | 25350 |
| bdacbc |
0 | 0 | 25668 | 33811 |
28909 | 11612 |
| bdbcac |
0 | 0 | 27976 | 34559 |
26469 | 10996 |
|