| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| ccaabbb |
0 | 0 | 0 | 50000 |
| ccbaabb |
0 | 0 | 0 | 50000 |
| caacbbb |
0 | 0 | 0 | 50000 |
| caabcbb |
0 | 0 | 0 | 50000 |
| caabbcb |
0 | 0 | 0 | 50000 |
| cbcbaab |
0 | 0 | 0 | 50000 |
| cabcbba |
0 | 0 | 4974 | 45026 |
| cacabbb |
0 | 0 | 7983 | 42017 |
| cacbabb |
0 | 3371 | 22455 | 24174 |
| cabcabb |
0 | 3717 | 16221 | 30062 |
| cabcbab |
0 | 5390 | 15738 | 28872 |
| cabacbb |
0 | 10086 | 10058 | 29856 |
| cababcb |
0 | 10099 | 16387 | 23514 |
| ccababb |
0 | 10996 | 16231 | 22773 |
| ccbabab |
0 | 12162 | 15531 | 22307 |
| cabbacb |
10 | 1351 | 19615 | 29024 |
| ccabbab |
40 | 2687 | 25844 | 21429 |
| ccabbba |
884 | 3315 | 25211 | 20590 |
|