| | Number of Real Solutions |
| Necklaces |
1 | 3 | 5 |
| CbAcBa |
0 | 0 | 10000 |
| CAcBab |
0 | 361 | 9639 |
| CAcBba |
0 | 1021 | 8979 |
| CAcaBb |
0 | 1543 | 8457 |
| CBcAba |
0 | 1617 | 8383 |
| CbABca |
0 | 1838 | 8162 |
| CBcaAb |
0 | 1884 | 8116 |
| CbcABa |
0 | 2071 | 7929 |
| CBacAb |
0 | 2714 | 7286 |
| CcABab |
0 | 3211 | 6789 |
| CABcab |
0 | 3362 | 6638 |
| CAacBb |
0 | 3446 | 6554 |
| CBaAcb |
0 | 4243 | 5757 |
| CABacb |
0 | 4397 | 5603 |
| CcaBAb |
0 | 4673 | 5327 |
| CcBaAb |
0 | 6270 | 3730 |
| CcABba |
5 | 2780 | 7215 |
| CAcabB |
10 | 5272 | 4718 |
| CABcba |
13 | 3427 | 6560 |
| CAaBcb |
15 | 5211 | 4774 |
| CcabAB |
24 | 4278 | 5698 |
| CcBAba |
29 | 2306 | 7665 |
| CcAaBb |
75 | 4042 | 5883 |
| CcaAbB |
104 | 4974 | 4922 |
| CcAbBa |
129 | 1044 | 8827 |
| CBAcba |
136 | 2247 | 7617 |
| CcAabB |
141 | 4652 | 5207 |
| CcBAab |
152 | 5413 | 4435 |
| CBbAca |
188 | 4376 | 5436 |
| CcBabA |
201 | 5791 | 4008 |
| CBAbca |
244 | 5103 | 4653 |
| CBcbAa |
284 | 3694 | 6022 |
| CcAbaB |
315 | 3816 | 5869 |
| CcBbAa |
336 | 5301 | 4363 |
| CbcBAa |
341 | 4241 | 5418 |
| CAcbBa |
346 | 1445 | 8209 |
| CBAacb |
391 | 4292 | 5317 |
| CBcAab |
396 | 2651 | 6953 |
| CcbABa |
422 | 4149 | 5429 |
| CcaABb |
497 | 4947 | 4556 |
| CbBcAa |
512 | 3104 | 6384 |
| CcaBbA |
633 | 4434 | 4933 |
| CcBbaA |
641 | 4874 | 4485 |
| CBAcab |
701 | 2502 | 6797 |
| CcbaBA |
753 | 5990 | 3257 |
| CcbaAB |
827 | 5982 | 3191 |
| CcbBaA |
925 | 4930 | 4145 |
| CBbcAa |
1000 | 4796 | 4204 |
| CAbacB |
1028 | 5128 | 3844 |
| CAacbB |
1053 | 3829 | 5118 |
| CAbcBa |
1056 | 3829 | 5115 |
| CAbBca |
1060 | 4694 | 4246 |
| CbBAca |
1152 | 3408 | 5440 |
| CcabBA |
1299 | 5836 | 2865 |
| CAcbaB |
1354 | 3981 | 4665 |
| CcbAaB |
1384 | 4572 | 4044 |
| CABbca |
1414 | 3204 | 5382 |
| CcbBAa |
1875 | 4409 | 3716 |
| CAbcaB |
1995 | 3632 | 4373 |
| CAabcB |
2402 | 4716 | 2882 |
| |
| Projections |
| Variety | Problem | # |
| Fl(2,3,5;6) |
A12436A13246A15324W X Z
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