| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
12 |
| bdcccaaa |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| badcccaa |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| bcccdaaa |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| bacccdaa |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| baaacdcc |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| baaaccdc |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| baacdcca |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| baaccdca |
0 | 0 | 0 | 0 |
0 | 0 | 2500 |
| baaccacd |
0 | 0 | 0 | 273 |
977 | 660 | 590 |
| bacaaccd |
0 | 0 | 2 | 256 |
941 | 711 | 590 |
| badccaac |
0 | 0 | 5 | 298 |
1041 | 609 | 547 |
| baaccadc |
0 | 0 | 5 | 353 |
1113 | 487 | 542 |
| baacdacc |
0 | 0 | 16 | 537 |
934 | 516 | 497 |
| baccdaac |
0 | 0 | 21 | 539 |
872 | 547 | 521 |
| bacdcaac |
0 | 0 | 24 | 506 |
871 | 515 | 584 |
| bacdacca |
0 | 0 | 31 | 489 |
919 | 497 | 564 |
| bacaadcc |
0 | 0 | 41 | 419 |
757 | 737 | 546 |
| bacaacdc |
0 | 0 | 60 | 461 |
746 | 661 | 572 |
| baadcacc |
0 | 0 | 63 | 456 |
739 | 699 | 543 |
| bacacacd |
0 | 0 | 64 | 230 |
1140 | 781 | 285 |
| badcacca |
0 | 0 | 72 | 442 |
851 | 610 | 525 |
| baccaacd |
0 | 0 | 97 | 465 |
895 | 786 | 257 |
| badcacac |
0 | 0 | 148 | 669 |
685 | 701 | 297 |
| bacacadc |
0 | 0 | 154 | 694 |
763 | 591 | 298 |
| bcccaaad |
0 | 0 | 279 | 1081 |
660 | 235 | 245 |
| bcaadacc |
0 | 0 | 442 | 979 |
711 | 268 | 100 |
| bcdaaacc |
0 | 1 | 197 | 878 |
739 | 460 | 225 |
| bacadcac |
0 | 2 | 164 | 492 |
678 | 656 | 508 |
| bcccaada |
0 | 2 | 182 | 864 |
812 | 460 | 180 |
| bacdacac |
0 | 2 | 325 | 636 |
732 | 497 | 308 |
| baacaccd |
0 | 4 | 141 | 314 |
296 | 218 | 1527 |
| bdaaccca |
0 | 5 | 187 | 577 |
885 | 544 | 302 |
| baacacdc |
0 | 7 | 290 | 373 |
287 | 206 | 1337 |
| bdcaaacc |
0 | 8 | 155 | 514 |
857 | 618 | 348 |
| badccaca |
0 | 8 | 228 | 393 |
275 | 191 | 1405 |
| bcaadcac |
0 | 11 | 427 | 728 |
844 | 371 | 119 |
| bcaacadc |
0 | 13 | 254 | 1065 |
771 | 273 | 124 |
| baacadcc |
0 | 14 | 302 | 423 |
453 | 258 | 1050 |
| badaccac |
0 | 15 | 235 | 1050 |
781 | 323 | 96 |
| baadccac |
0 | 15 | 306 | 408 |
418 | 222 | 1131 |
| badacacc |
0 | 15 | 397 | 837 |
713 | 434 | 104 |
| bcccadaa |
0 | 17 | 221 | 786 |
689 | 484 | 303 |
| bacadacc |
0 | 17 | 420 | 776 |
846 | 324 | 117 |
| bdcacaac |
0 | 18 | 331 | 799 |
793 | 386 | 173 |
| bacacdca |
0 | 18 | 339 | 324 |
337 | 282 | 1200 |
| bcaacdac |
0 | 23 | 386 | 802 |
829 | 334 | 126 |
| bcaaadcc |
0 | 24 | 275 | 795 |
599 | 419 | 388 |
| bacaccad |
0 | 26 | 369 | 901 |
766 | 304 | 134 |
| baccadac |
0 | 26 | 411 | 804 |
774 | 361 | 124 |
| bcacaadc |
0 | 37 | 428 | 858 |
757 | 351 | 69 |
| bdccaaac |
0 | 38 | 467 | 799 |
659 | 318 | 219 |
| baacdcac |
0 | 39 | 332 | 345 |
402 | 308 | 1074 |
| bacccada |
0 | 49 | 327 | 748 |
714 | 386 | 276 |
| bacacdac |
0 | 51 | 148 | 461 |
669 | 659 | 512 |
| bdacccaa |
0 | 51 | 451 | 789 |
645 | 294 | 270 |
| bacadcca |
0 | 53 | 334 | 319 |
380 | 357 | 1057 |
| badcaacc |
0 | 57 | 371 | 741 |
662 | 488 | 181 |
| baccaadc |
0 | 61 | 368 | 795 |
678 | 434 | 164 |
| bcaaacdc |
0 | 66 | 385 | 757 |
669 | 316 | 307 |
| baaccdac |
0 | 86 | 325 | 331 |
415 | 368 | 975 |
| bdcaacac |
0 | 94 | 373 | 561 |
774 | 481 | 217 |
| bacdaacc |
0 | 113 | 412 | 812 |
698 | 289 | 176 |
| baccacad |
0 | 118 | 473 | 605 |
725 | 432 | 147 |
| bdaacacc |
1 | 41 | 460 | 887 |
596 | 195 | 320 |
| bdaccaac |
2 | 33 | 300 | 827 |
814 | 381 | 143 |
| bdaaccac |
2 | 89 | 463 | 705 |
697 | 341 | 203 |
| bdacaacc |
9 | 113 | 498 | 712 |
677 | 306 | 185 |
| bdacacac |
9 | 124 | 395 | 661 |
823 | 411 | 77 |
| bcadacac |
18 | 149 | 757 | 732 |
615 | 195 | 34 |
| bcadaacc |
22 | 217 | 732 | 757 |
542 | 164 | 66 |
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