| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
| bbcccaa |
0 | 0 | 25000 |
| bcccbaa |
0 | 0 | 25000 |
| bcccaba |
0 | 0 | 25000 |
| bccabca |
0 | 0 | 25000 |
| bccabac |
0 | 0 | 25000 |
| bccacba |
0 | 0 | 25000 |
| bcabcac |
0 | 0 | 25000 |
| bcbccaa |
0 | 1785 | 23215 |
| bbccaca |
0 | 2565 | 22435 |
| bccbcaa |
0 | 3413 | 21587 |
| bcbcaca |
0 | 5676 | 19324 |
| bccbaca |
0 | 7457 | 17543 |
| bcbcaac |
0 | 11662 | 13338 |
| bbccaac |
0 | 14568 | 10432 |
| bbcacac |
0 | 17508 | 7492 |
| bcbacca |
2 | 8568 | 16430 |
| bbcacca |
66 | 11709 | 13225 |
| bbaccca |
3386 | 9781 | 11833 |
|