| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| AbacAd |
0 | 25000 |
| AabcAd |
0 | 25000 |
| AbcAda |
1360 | 23640 |
| AbdaAc |
3402 | 21598 |
| AAadbc |
4534 | 20466 |
| AbcaAd |
4950 | 20050 |
| AAbdac |
5685 | 19315 |
| AbAadc |
6162 | 18838 |
| AbaAcd |
6363 | 18637 |
| AbcAad |
8029 | 16971 |
| AbcdAa |
8354 | 16646 |
| AbaAdc |
8363 | 16637 |
| AbdcAa |
9101 | 15899 |
| AaAdbc |
9689 | 15311 |
| AbdAca |
9742 | 15258 |
| AbadAc |
10040 | 14960 |
| AabdAc |
10114 | 14886 |
| AAbcda |
11874 | 13126 |
| AbdAac |
12313 | 12687 |
| AAbcad |
12703 | 12297 |
| AAdbac |
13168 | 11832 |
| AbAacd |
13179 | 11821 |
| AbAdac |
13247 | 11753 |
| AAdabc |
13431 | 11569 |
| AAbacd |
15263 | 9737 |
| AAabcd |
16755 | 8245 |
| AAabdc |
17024 | 7976 |
| AAacbd |
17275 | 7725 |
| AAbadc |
19240 | 5760 |
| AAbdca |
20056 | 4944 |
|