| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 |
| AbaAdc |
0 | 0 | 0 | 0 |
15000 |
| AbaAcd |
0 | 0 | 0 | 0 |
15000 |
| AAabdc |
0 | 0 | 0 | 265 |
14735 |
| AAabcd |
0 | 0 | 0 | 325 |
14675 |
| AAbadc |
0 | 0 | 0 | 357 |
14643 |
| AAbacd |
0 | 0 | 0 | 556 |
14444 |
| AbacAd |
0 | 0 | 0 | 1451 |
13549 |
| AbAacd |
0 | 0 | 0 | 1635 |
13365 |
| AbdAca |
0 | 0 | 0 | 2975 |
12025 |
| AbadAc |
0 | 0 | 0 | 3526 |
11474 |
| AbcdAa |
0 | 0 | 0 | 3643 |
11357 |
| AabcAd |
0 | 0 | 0 | 4097 |
10903 |
| AbAadc |
0 | 0 | 0 | 4140 |
10860 |
| AbdcAa |
0 | 0 | 0 | 4623 |
10377 |
| AabdAc |
0 | 0 | 0 | 4743 |
10257 |
| AAbdca |
0 | 0 | 0 | 5550 |
9450 |
| AAdbac |
0 | 0 | 0 | 5550 |
9450 |
| AAbcda |
0 | 0 | 0 | 6120 |
8880 |
| AAdabc |
0 | 0 | 0 | 6120 |
8880 |
| AbcAda |
0 | 0 | 15 | 2891 |
12094 |
| AbcaAd |
0 | 0 | 371 | 8281 |
6348 |
| AbAdac |
0 | 0 | 436 | 8635 |
5929 |
| AbcAad |
0 | 0 | 980 | 5732 |
8288 |
| AbdAac |
0 | 0 | 1044 | 4548 |
9408 |
| AAadbc |
0 | 0 | 1372 | 3559 |
10069 |
| AAbdac |
0 | 0 | 1604 | 5542 |
7854 |
| AAacbd |
0 | 0 | 1649 | 5332 |
8019 |
| AAbcad |
0 | 0 | 2958 | 3773 |
8269 |
| AbdaAc |
0 | 0 | 3458 | 4715 |
6827 |
| AaAdbc |
0 | 0 | 3497 | 5049 |
6454 |
|