| Number of Real Solutions |
Necklaces |
0 |
2 | 4 | 6 | 8 |
baCDBA |
0 | 0 | 1651 | 2933 |
416 |
baBDCA |
0 | 0 | 1651 | 2933 |
416 |
baACDB |
0 | 0 | 1986 | 2307 |
707 |
baABDC |
0 | 0 | 1986 | 2307 |
707 |
baDCBA |
0 | 38 | 1711 | 2494 |
757 |
bACBDa |
0 | 42 | 1797 | 2500 |
661 |
bAaCDB |
0 | 64 | 1670 | 2787 |
479 |
bAaBDC |
0 | 64 | 1670 | 2787 |
479 |
baACBD |
0 | 76 | 1926 | 2504 |
494 |
baABCD |
0 | 76 | 1926 | 2504 |
494 |
bDaCAB |
0 | 79 | 988 | 3287 |
646 |
bCADaB |
0 | 97 | 1857 | 2228 |
818 |
bCABaD |
0 | 103 | 958 | 3244 |
695 |
bAaDCB |
0 | 111 | 2404 | 2051 |
434 |
bAaDBC |
0 | 111 | 2404 | 2051 |
434 |
baCADB |
0 | 130 | 833 | 2764 |
1273 |
baBADC |
0 | 130 | 833 | 2764 |
1273 |
bCaDAB |
0 | 143 | 2025 | 2177 |
655 |
bCaBAD |
0 | 246 | 2042 | 2154 |
558 |
bDACaB |
0 | 251 | 1975 | 2162 |
612 |
bACDaB |
0 | 262 | 1429 | 2997 |
312 |
bABDaC |
0 | 262 | 1429 | 2997 |
312 |
bACBaD |
0 | 290 | 1750 | 2507 |
453 |
bABCaD |
0 | 290 | 1750 | 2507 |
453 |
bCaADB |
0 | 310 | 1873 | 2182 |
635 |
bACaDB |
0 | 339 | 1369 | 3005 |
287 |
bABaDC |
0 | 339 | 1369 | 3005 |
287 |
bCDAaB |
0 | 367 | 1781 | 2168 |
684 |
bADCaB |
0 | 419 | 1596 | 2910 |
75 |
bADBaC |
0 | 419 | 1596 | 2910 |
75 |
baCDAB |
0 | 424 | 1569 | 2018 |
989 |
baBDAC |
0 | 424 | 1569 | 2018 |
989 |
bCaABD |
0 | 603 | 2651 | 1523 |
223 |
bCAaDB |
0 | 620 | 2079 | 1782 |
519 |
bDCAaB |
0 | 626 | 2461 | 1603 |
310 |
bCDaAB |
0 | 663 | 2166 | 1743 |
428 |
baCBDA |
1 | 125 | 1719 | 2483 |
672 |
bADCBa |
3 | 113 | 1822 | 2569 |
493 |
baADCB |
3 | 303 | 1738 | 2193 |
763 |
baADBC |
3 | 303 | 1738 | 2193 |
763 |
bAaCBD |
12 | 573 | 2115 | 2093 |
207 |
bAaBCD |
12 | 573 | 2115 | 2093 |
207 |
bCAaBD |
12 | 658 | 1888 | 1456 |
986 |
bDCaAB |
12 | 667 | 1854 | 1658 |
809 |
bACaBD |
18 | 607 | 1927 | 2126 |
322 |
bABaCD |
18 | 607 | 1927 | 2126 |
322 |
baDCAB |
30 | 1518 | 1093 | 1686 |
673 |
baDBAC |
30 | 1518 | 1093 | 1686 |
673 |
bADaCB |
105 | 957 | 2198 | 1687 |
53 |
bADaBC |
105 | 957 | 2198 | 1687 |
53 |
baCABD |
158 | 1360 | 1595 | 1487 |
400 |
baBACD |
158 | 1360 | 1595 | 1487 |
400 |
bCBAaD |
265 | 522 | 1538 | 1991 |
684 |
bDaACB |
280 | 487 | 1601 | 1973 |
659 |
bCBaAD |
345 | 818 | 2171 | 1349 |
317 |
bDAaCB |
351 | 856 | 2071 | 1416 |
306 |
baDACB |
666 | 431 | 1168 | 1921 |
814 |
baDABC |
666 | 431 | 1168 | 1921 |
814 |
baCBAD |
923 | 630 | 941 | 2104 |
402 |
baBCAD |
923 | 630 | 941 | 2104 |
402 |
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