| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 |
| DABabC |
0 | 4 | 2892 | 2104 |
| DABbaC |
0 | 29 | 1891 | 3080 |
| DAbBaC |
0 | 41 | 1903 | 3056 |
| DbAaBC |
0 | 48 | 2981 | 1971 |
| DbACBa |
0 | 61 | 2595 | 2344 |
| DACBba |
0 | 159 | 3248 | 1593 |
| DABCba |
0 | 245 | 3354 | 1401 |
| DbBCAa |
0 | 339 | 1928 | 2733 |
| DbaABC |
0 | 376 | 1953 | 2671 |
| DbABaC |
0 | 379 | 1877 | 2744 |
| DbaCBA |
0 | 429 | 2578 | 1993 |
| DABbCa |
0 | 480 | 3163 | 1357 |
| DbBCaA |
0 | 491 | 2653 | 1856 |
| DCAbBa |
0 | 495 | 1679 | 2826 |
| DACaBb |
0 | 527 | 3310 | 1163 |
| DCBAba |
0 | 532 | 1506 | 2962 |
| DbCBAa |
0 | 538 | 2368 | 2094 |
| DbABCa |
0 | 539 | 2317 | 2144 |
| DCbAaB |
0 | 556 | 1740 | 2704 |
| DAbaBC |
0 | 563 | 1848 | 2589 |
| DCbBAa |
0 | 571 | 2388 | 2041 |
| DAaBbC |
0 | 575 | 3153 | 1272 |
| DCAabB |
0 | 664 | 1257 | 3079 |
| DCbABa |
0 | 722 | 1734 | 2544 |
| DbCaBA |
0 | 725 | 2655 | 1620 |
| DBCAba |
0 | 743 | 3054 | 1203 |
| DCAbaB |
0 | 799 | 805 | 3396 |
| DCBbAa |
0 | 812 | 2303 | 1885 |
| DbaBCA |
0 | 870 | 3353 | 777 |
| DBbACa |
0 | 1126 | 2005 | 1869 |
| DCABba |
0 | 1146 | 1526 | 2328 |
| DbCBaA |
0 | 1187 | 2881 | 932 |
| DAabBC |
0 | 1212 | 1677 | 2111 |
| DbACaB |
0 | 1241 | 2007 | 1752 |
| DbBaAC |
0 | 1312 | 2684 | 1004 |
| DBAbCa |
0 | 1322 | 2136 | 1542 |
| DAbBCa |
0 | 1342 | 1776 | 1882 |
| DaBbCA |
0 | 1433 | 2457 | 1110 |
| DbBACa |
0 | 1438 | 2404 | 1158 |
| DACabB |
0 | 1559 | 2291 | 1150 |
| DAbCBa |
0 | 1574 | 1712 | 1714 |
| DCABab |
0 | 1613 | 2404 | 983 |
| DbCABa |
0 | 1663 | 1922 | 1415 |
| DAbCaB |
0 | 1756 | 1580 | 1664 |
| DBACba |
0 | 1761 | 2255 | 984 |
| DbCAaB |
0 | 1798 | 2439 | 763 |
| DACbaB |
0 | 1819 | 1790 | 1391 |
| DBbCAa |
0 | 2061 | 1372 | 1567 |
| DbaACB |
0 | 2095 | 2531 | 374 |
| DBCbAa |
0 | 2193 | 2059 | 748 |
| DbaCAB |
0 | 3036 | 1728 | 236 |
| DCaAbB |
16 | 588 | 1634 | 2762 |
| DCabAB |
82 | 672 | 1945 | 2301 |
| DbBAaC |
97 | 1583 | 2221 | 1099 |
| DCbaAB |
171 | 668 | 2115 | 2046 |
| DbAaCB |
394 | 2463 | 1072 | 1071 |
| DbCaAB |
913 | 2243 | 1152 | 692 |
| DAbaCB |
1064 | 1821 | 906 | 1209 |
| DAaCbB |
1209 | 1516 | 1829 | 446 |
| DAabCB |
1886 | 1903 | 954 | 257 |
| |
| Projections |
| Variety | Problem | # |
| Fl(1,2,3,5;6) |
A21346A21435A13246A24316X X
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