| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| AcbaBd |
0 | 25000 |
| AdBacb |
0 | 25000 |
| AdBcab |
289 | 24711 |
| ABcbda |
386 | 24614 |
| AcbBad |
712 | 24288 |
| AdaBcb |
1015 | 23985 |
| ABdacb |
1295 | 23705 |
| ABdcab |
1415 | 23585 |
| AcbadB |
1811 | 23189 |
| ABcbad |
2359 | 22641 |
| ABbcda |
2686 | 22314 |
| AabcBd |
2879 | 22121 |
| AcaBbd |
3744 | 21256 |
| ABbcad |
4355 | 20645 |
| AadBcb |
5345 | 19655 |
| AcBdba |
5678 | 19322 |
| AcdBba |
5790 | 19210 |
| AcdBab |
6360 | 18640 |
| ABadcb |
6597 | 18403 |
| AcBdab |
6896 | 18104 |
| AdcBab |
7058 | 17942 |
| AcabBd |
7326 | 17674 |
| ABacbd |
7416 | 17584 |
| ABcdab |
7434 | 17566 |
| AcdaBb |
7513 | 17487 |
| AacBdb |
7729 | 17271 |
| ABcabd |
8271 | 16729 |
| AacbBd |
8354 | 16646 |
| AcabdB |
8430 | 16570 |
| ABcdba |
8530 | 16470 |
| AdcaBb |
8789 | 16211 |
| ABdbca |
9331 | 15669 |
| AaBbcd |
9904 | 15096 |
| ABabcd |
9925 | 15075 |
| AaBcbd |
10043 | 14957 |
| ABbacd |
10094 | 14906 |
| ABacdb |
10166 | 14834 |
| AcbdaB |
10268 | 14732 |
| AcadBb |
10667 | 14333 |
| ABbdca |
10680 | 14320 |
| AdacBb |
10950 | 14050 |
| AcdbBa |
11038 | 13962 |
| AcBadb |
11460 | 13540 |
| ABdcba |
11551 | 13449 |
| AcaBdb |
11687 | 13313 |
| AcbBda |
11698 | 13302 |
| AcadbB |
11734 | 13266 |
| AadcBb |
11937 | 13063 |
| AacdBb |
11970 | 13030 |
| AaBdcb |
12150 | 12850 |
| AaBcdb |
12647 | 12353 |
| AcBabd |
13881 | 11119 |
| AabBcd |
14008 | 10992 |
| AcdabB |
14066 | 10934 |
| AacBbd |
14104 | 10896 |
| AcBbad |
14553 | 10447 |
| ABcadb |
14618 | 10382 |
| AcBbda |
14877 | 10123 |
| AcdbaB |
15702 | 9298 |
| AcbdBa |
16002 | 8998 |
|