| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| bedccca |
0 | 25000 |
| baedccc |
0 | 25000 |
| badeccc |
0 | 25000 |
| bacedcc |
0 | 25000 |
| bacdecc |
0 | 25000 |
| baccedc |
0 | 25000 |
| baccdec |
0 | 25000 |
| baccced |
0 | 25000 |
| beacccd |
1377 | 23623 |
| bdaeccc |
1834 | 23166 |
| bedaccc |
3581 | 21419 |
| beadccc |
3825 | 21175 |
| bcadecc |
3981 | 21019 |
| becccad |
4104 | 20896 |
| beaccdc |
4231 | 20769 |
| bdeccac |
4238 | 20762 |
| bedccac |
4532 | 20468 |
| bcacedc |
4565 | 20435 |
| bcaecdc |
4568 | 20432 |
| bcaedcc |
4735 | 20265 |
| bacdcec |
4808 | 20192 |
| bacecdc |
4970 | 20030 |
| bdcaecc |
5432 | 19568 |
| becccda |
6486 | 18514 |
| baecdcc |
6736 | 18264 |
| becdcac |
6801 | 18199 |
| bcdaecc |
6915 | 18085 |
| badcecc |
7118 | 17882 |
| bdeaccc |
7164 | 17836 |
| bcecdac |
7240 | 17760 |
| becdcca |
7387 | 17613 |
| bcedcac |
7468 | 17532 |
| baccecd |
7623 | 17377 |
| beccdca |
7778 | 17222 |
| bdaccec |
8710 | 16290 |
| baecccd |
8844 | 16156 |
| bdccaec |
9208 | 15792 |
| bdcecac |
9209 | 15791 |
| bdcceac |
9348 | 15652 |
| bdceacc |
9510 | 15490 |
| beacdcc |
9518 | 15482 |
| beccdac |
9852 | 15148 |
| bcecadc |
10187 | 14813 |
| bdacecc |
10203 | 14797 |
| bceacdc |
10430 | 14570 |
| bceadcc |
10768 | 14232 |
| baeccdc |
11223 | 13777 |
| beccacd |
11227 | 13773 |
| badccec |
11735 | 13265 |
| baceccd |
11768 | 13232 |
| bcedacc |
12665 | 12335 |
| becdacc |
12997 | 12003 |
| bcdeacc |
13471 | 11529 |
| bedcacc |
13585 | 11415 |
| bdecacc |
13767 | 11233 |
| beccadc |
14051 | 10949 |
| becadcc |
14202 | 10798 |
| becaccd |
15087 | 9913 |
| bdcacec |
16558 | 8442 |
| becacdc |
16631 | 8369 |
|