| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 | 9 |
| CAAbBa |
0 | 0 | 2636 | 5069 |
2295 |
| CbBAaA |
0 | 0 | 2702 | 3777 |
3521 |
| CAABba |
0 | 0 | 4232 | 2624 |
3144 |
| CBAbAa |
0 | 3 | 3840 | 4693 |
1463 |
| CAbABa |
0 | 9 | 1976 | 6017 |
1992 |
| CAbBAa |
0 | 10 | 1256 | 5030 |
3704 |
| CABbAa |
0 | 26 | 852 | 5029 |
4093 |
| CBAbaA |
0 | 60 | 2667 | 5074 |
2196 |
| CbABAa |
0 | 89 | 2470 | 5013 |
2428 |
| CABAba |
0 | 98 | 613 | 4618 |
4669 |
| CBabAA |
0 | 170 | 3370 | 4068 |
2392 |
| CbaBAA |
0 | 235 | 4761 | 3322 |
1682 |
| CBbAaA |
0 | 322 | 2750 | 4027 |
2901 |
| CbaABA |
0 | 325 | 2883 | 4558 |
2234 |
| CBaAbA |
0 | 417 | 4111 | 4372 |
1100 |
| CbAABa |
0 | 594 | 3297 | 4430 |
1679 |
| CBAAab |
0 | 635 | 5513 | 2768 |
1084 |
| CBAAba |
0 | 770 | 2423 | 3547 |
3256 |
| CABabA |
0 | 778 | 3446 | 3619 |
2154 |
| CbABaA |
0 | 1376 | 2943 | 4289 |
1388 |
| CbBAAa |
0 | 2127 | 4416 | 2204 |
1253 |
| CBaAAb |
0 | 2173 | 4325 | 3069 |
433 |
| CBbAAa |
0 | 3680 | 3233 | 2333 |
754 |
| CBAabA |
3 | 377 | 3331 | 4553 |
1733 |
| CABbaA |
9 | 193 | 2798 | 4166 |
2834 |
| CBbaAA |
13 | 1207 | 3862 | 3870 |
1048 |
| CAbBaA |
21 | 743 | 3712 | 3798 |
1726 |
| CbBaAA |
100 | 2339 | 3531 | 2843 |
1187 |
| CBAaAb |
101 | 723 | 3489 | 3896 |
1791 |
| CbAaBA |
135 | 1831 | 3497 | 2759 |
1778 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2,3,4;6) |
(A1325)2A1532X Y Y
| |
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