| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
7 |
| CcbAaB |
0 | 0 | 1569 | 3432 |
| CbAacB |
0 | 0 | 1870 | 3131 |
| CbAcaB |
0 | 2 | 1410 | 3589 |
| CAbacB |
0 | 8 | 2653 | 2340 |
| CacAbB |
0 | 17 | 1244 | 3740 |
| CcabAB |
0 | 19 | 3594 | 1388 |
| CbaAcB |
0 | 23 | 2914 | 2064 |
| CcAbaB |
0 | 65 | 1662 | 3274 |
| CbcAaB |
0 | 88 | 2476 | 2437 |
| CbAaBc |
0 | 187 | 1985 | 2829 |
| CabAcB |
0 | 191 | 1686 | 3124 |
| CcaAbB |
0 | 212 | 2810 | 1979 |
| CcbBaA |
0 | 273 | 1023 | 3705 |
| CaBcAb |
0 | 286 | 1681 | 3034 |
| CcbaBA |
0 | 303 | 2746 | 1952 |
| CbacAB |
0 | 409 | 2051 | 2541 |
| CaABbc |
0 | 535 | 2405 | 2061 |
| CbcBaA |
0 | 564 | 829 | 3608 |
| CaAbcB |
0 | 567 | 2750 | 1684 |
| CabABc |
0 | 568 | 3014 | 1419 |
| CcbaAB |
0 | 573 | 2348 | 2080 |
| CcBabA |
0 | 692 | 1534 | 2775 |
| CAbcaB |
0 | 720 | 2387 | 1894 |
| CAabcB |
0 | 729 | 2529 | 1743 |
| CAcbaB |
0 | 735 | 1309 | 2957 |
| CcAabB |
0 | 790 | 2651 | 1560 |
| CbaBcA |
0 | 911 | 1741 | 2349 |
| CbaABc |
0 | 990 | 2494 | 1517 |
| CbBacA |
0 | 1041 | 1527 | 2433 |
| CbBaAc |
0 | 1067 | 1940 | 1994 |
| CaBbcA |
0 | 1076 | 912 | 3013 |
| CbABac |
0 | 1183 | 1645 | 2173 |
| CaABcb |
0 | 1216 | 1849 | 1936 |
| CaBcbA |
0 | 1407 | 2218 | 1376 |
| CcaBbA |
0 | 1452 | 798 | 2751 |
| CcBbaA |
0 | 1608 | 1533 | 1860 |
| CbBAac |
0 | 1709 | 1973 | 1319 |
| CaAbBc |
0 | 1908 | 1500 | 1593 |
| CAcabB |
1 | 153 | 1551 | 3296 |
| CaAcbB |
2 | 527 | 2608 | 1864 |
| CbcaAB |
3 | 214 | 2731 | 2053 |
| CaBbAc |
6 | 442 | 1672 | 2881 |
| CaAcBb |
7 | 400 | 2721 | 1873 |
| CacBAb |
9 | 978 | 2391 | 1623 |
| CabcAB |
17 | 1123 | 2233 | 1628 |
| CbBcaA |
22 | 792 | 2112 | 2075 |
| CabBAc |
31 | 1214 | 2298 | 1458 |
| CacABb |
32 | 386 | 2413 | 2170 |
| CbacBA |
33 | 1739 | 2265 | 964 |
| CaBAcb |
60 | 990 | 1304 | 2647 |
| CAacbB |
61 | 604 | 2053 | 2283 |
| CacBbA |
74 | 672 | 1899 | 2356 |
| CbcaBA |
86 | 697 | 1956 | 2262 |
| CabcBA |
98 | 1272 | 2594 | 1037 |
| CcabBA |
115 | 1335 | 1973 | 1578 |
| CacbAB |
151 | 1160 | 2595 | 1095 |
| CbaBAc |
181 | 607 | 2254 | 1959 |
| CabBcA |
190 | 1066 | 1744 | 2001 |
| CacbBA |
265 | 1001 | 2068 | 1667 |
| CcbABa |
481 | 1183 | 2305 | 1032 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2,3,4;6) |
A1325A1524W X X Y
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