| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 |
| abbcccd |
0 | 0 | 0 | 15000 |
| acccdbb |
0 | 0 | 0 | 15000 |
| abcccdb |
0 | 0 | 0 | 15000 |
| accdcbb |
0 | 0 | 0 | 15000 |
| abccdcb |
0 | 0 | 0 | 15000 |
| abbccdc |
0 | 0 | 0 | 15000 |
| accbbcd |
0 | 52 | 6214 | 8734 |
| accbbdc |
0 | 52 | 6214 | 8734 |
| acbbccd |
0 | 1414 | 3419 | 10167 |
| acccbbd |
0 | 1418 | 3975 | 9607 |
| accdbbc |
0 | 1418 | 3975 | 9607 |
| acdcbbc |
0 | 1418 | 3975 | 9607 |
| abccbcd |
0 | 1537 | 8001 | 5462 |
| abccbdc |
0 | 1537 | 8001 | 5462 |
| accbcdb |
0 | 1662 | 7990 | 5348 |
| accbdcb |
0 | 1662 | 7990 | 5348 |
| acbccdb |
0 | 2339 | 5748 | 6913 |
| abcccbd |
0 | 2655 | 5880 | 6465 |
| abccdbc |
0 | 2655 | 5880 | 6465 |
| abcdcbc |
0 | 2655 | 5880 | 6465 |
| adbccbc |
25 | 1558 | 8785 | 4632 |
| acbcdbc |
25 | 1558 | 8785 | 4632 |
| abcbccd |
683 | 3309 | 5711 | 5297 |
| acccbdb |
836 | 3247 | 5871 | 5046 |
| accdbcb |
836 | 3247 | 5871 | 5046 |
| acdcbcb |
836 | 3247 | 5871 | 5046 |
| acbcbcd |
2133 | 3324 | 5390 | 4153 |
| accbcbd |
2421 | 3281 | 5319 | 3979 |
| accbdbc |
2421 | 3281 | 5319 | 3979 |
| acdbcbc |
2421 | 3281 | 5319 | 3979 |
| |
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