| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| ebaccd |
0 | 25000 |
| edbacc |
0 | 25000 |
| edabcc |
0 | 25000 |
| edcbac |
0 | 25000 |
| edcabc |
0 | 25000 |
| edccba |
0 | 25000 |
| edacbc |
2251 | 22749 |
| ebdacc |
2760 | 22240 |
| edcbca |
3539 | 21461 |
| edbcac |
3627 | 21373 |
| ebcadc |
5008 | 19992 |
| ebcacd |
5488 | 19512 |
| eadbcc |
5488 | 19512 |
| ecbdac |
5557 | 19443 |
| eabdcc |
6070 | 18930 |
| eabcdc |
7100 | 17900 |
| eacbdc |
7209 | 17791 |
| ebacdc |
7773 | 17227 |
| ecdbac |
7875 | 17125 |
| eadcbc |
8189 | 16811 |
| ebadcc |
8377 | 16623 |
| ebcdac |
8917 | 16083 |
| ecbadc |
9243 | 15757 |
| ebccda |
9368 | 15632 |
| ebccad |
9562 | 15438 |
| edbcca |
10763 | 14237 |
| ebcdca |
11661 | 13339 |
| ebdcac |
12377 | 12623 |
| ebdcca |
12774 | 12226 |
| eacdbc |
13138 | 11862 |
|