| | Number of Real Solutions |
| Necklaces |
1 | 3 |
| eAacbd |
0 | 25000 |
| eAabcd |
0 | 25000 |
| ecbaAd |
0 | 25000 |
| edAacb |
0 | 25000 |
| eadAcb |
0 | 25000 |
| edAcab |
364 | 24636 |
| eAdcab |
486 | 24514 |
| eaAdcb |
853 | 24147 |
| eacAdb |
918 | 24082 |
| eAdcba |
1118 | 23882 |
| eAdacb |
1249 | 23751 |
| eacdAb |
1813 | 23187 |
| eAcdab |
1947 | 23053 |
| eAadcb |
2205 | 22795 |
| ecdAba |
2844 | 22156 |
| eAdbca |
3673 | 21327 |
| ecAdba |
3860 | 21140 |
| eadcAb |
3882 | 21118 |
| eAcdba |
4013 | 20987 |
| edAcba |
4156 | 20844 |
| eAcabd |
4236 | 20764 |
| edcAba |
4390 | 20610 |
| eAcadb |
4696 | 20304 |
| eaAcdb |
4854 | 20146 |
| edaAcb |
5148 | 19852 |
| ecAabd |
5405 | 19595 |
| eAabdc |
5447 | 19553 |
| eAbcad |
5466 | 19534 |
| edcAab |
5697 | 19303 |
| edacAb |
5909 | 19091 |
| eAcbda |
6077 | 18923 |
| edcaAb |
6089 | 18911 |
| edAbca |
6100 | 18900 |
| ecabAd |
6344 | 18656 |
| eAacdb |
6387 | 18613 |
| eAbacd |
6424 | 18576 |
| ecAbad |
6556 | 18444 |
| ecdAab |
6952 | 18048 |
| ecadAb |
7405 | 17595 |
| ecaAdb |
7463 | 17537 |
| ecAadb |
7491 | 17509 |
| eAbadc |
7647 | 17353 |
| eAbcda |
7852 | 17148 |
| ecdaAb |
8032 | 16968 |
| eAbdca |
8047 | 16953 |
| ecAdab |
8090 | 16910 |
| eAdbac |
8858 | 16142 |
| eAbdac |
9798 | 15202 |
| ecAbda |
10092 | 14908 |
| edbAca |
10639 | 14361 |
| ecbAad |
10884 | 14116 |
| edbcAa |
10969 | 14031 |
| eAdabc |
11205 | 13795 |
| ecdbAa |
11539 | 13461 |
| ecbAda |
11937 | 13063 |
| ecbdAa |
11985 | 13015 |
| edcbAa |
12060 | 12940 |
| eAcbad |
12415 | 12585 |
| ecaAbd |
12444 | 12556 |
| eAadbc |
13203 | 11797 |
|