| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 | 10 |
| baaaccdd |
0 | 0 | 0 | 0 |
0 | 1500 |
| bdcdcaaa |
0 | 0 | 0 | 0 |
0 | 1500 |
| bcddcaaa |
0 | 0 | 0 | 0 |
0 | 1500 |
| baddccaa |
0 | 0 | 0 | 0 |
0 | 1500 |
| badcdcaa |
0 | 0 | 0 | 0 |
0 | 1500 |
| bacddcaa |
0 | 0 | 0 | 0 |
0 | 1500 |
| baaadccd |
0 | 0 | 0 | 0 |
0 | 1500 |
| baaadcdc |
0 | 0 | 0 | 0 |
0 | 1500 |
| baaaddcc |
0 | 0 | 0 | 0 |
0 | 1500 |
| baadccda |
0 | 0 | 0 | 0 |
0 | 1500 |
| baadcdca |
0 | 0 | 0 | 0 |
0 | 1500 |
| baaddcca |
0 | 0 | 0 | 0 |
0 | 1500 |
| bdcaaacd |
0 | 0 | 0 | 1 |
293 | 1206 |
| bcaaadcd |
0 | 0 | 0 | 48 |
265 | 1187 |
| bcaaaddc |
0 | 0 | 0 | 58 |
251 | 1191 |
| badcacda |
0 | 0 | 0 | 64 |
724 | 712 |
| bcaaacdd |
0 | 0 | 0 | 82 |
206 | 1212 |
| bccaaadd |
0 | 0 | 0 | 82 |
577 | 841 |
| bcdaadca |
0 | 0 | 0 | 84 |
970 | 446 |
| bcacddaa |
0 | 0 | 0 | 92 |
581 | 827 |
| baadcdac |
0 | 0 | 0 | 126 |
813 | 561 |
| bcdaaadc |
0 | 0 | 0 | 132 |
543 | 825 |
| bcaddcaa |
0 | 0 | 0 | 142 |
676 | 682 |
| baadccad |
0 | 0 | 0 | 208 |
747 | 545 |
| bdaadcca |
0 | 0 | 0 | 260 |
622 | 618 |
| bacdcaad |
0 | 0 | 0 | 472 |
590 | 438 |
| badccaad |
0 | 0 | 0 | 659 |
514 | 327 |
| bdcaaadc |
0 | 0 | 1 | 27 |
536 | 936 |
| bdaaadcc |
0 | 0 | 1 | 112 |
241 | 1146 |
| bdcacdaa |
0 | 0 | 1 | 112 |
904 | 483 |
| baaddacc |
0 | 0 | 1 | 154 |
939 | 406 |
| bdccaaad |
0 | 0 | 1 | 175 |
335 | 989 |
| baacdcad |
0 | 0 | 2 | 256 |
643 | 599 |
| bdcaacda |
0 | 0 | 2 | 257 |
922 | 319 |
| bcdadcaa |
0 | 0 | 2 | 457 |
674 | 367 |
| bcdcaaad |
0 | 0 | 3 | 108 |
395 | 994 |
| badcaadc |
0 | 0 | 3 | 245 |
938 | 314 |
| bdcaadca |
0 | 0 | 3 | 261 |
685 | 551 |
| baddacca |
0 | 0 | 5 | 209 |
867 | 419 |
| bcaddaca |
0 | 0 | 8 | 170 |
850 | 472 |
| bcacadda |
0 | 0 | 11 | 323 |
769 | 397 |
| badccada |
0 | 0 | 12 | 165 |
543 | 780 |
| bacdcada |
0 | 0 | 13 | 149 |
763 | 575 |
| bcdcadaa |
0 | 0 | 13 | 182 |
837 | 468 |
| bacacdda |
0 | 0 | 21 | 295 |
400 | 784 |
| bacacdad |
0 | 0 | 24 | 397 |
749 | 330 |
| bccaadda |
0 | 0 | 25 | 347 |
762 | 366 |
| bcaaddac |
0 | 0 | 25 | 376 |
782 | 317 |
| bcaacdad |
0 | 0 | 25 | 471 |
706 | 298 |
| bacaddca |
0 | 0 | 28 | 408 |
393 | 671 |
| bdadccaa |
0 | 0 | 30 | 329 |
618 | 523 |
| badadcca |
0 | 0 | 31 | 354 |
722 | 393 |
| badaadcc |
0 | 0 | 34 | 530 |
630 | 306 |
| bdccadaa |
0 | 0 | 38 | 221 |
577 | 664 |
| badcadca |
0 | 0 | 41 | 195 |
828 | 436 |
| badcdaca |
0 | 0 | 41 | 238 |
503 | 718 |
| bdcadcaa |
0 | 0 | 48 | 276 |
602 | 574 |
| bcaadcda |
0 | 0 | 48 | 311 |
450 | 691 |
| bcaacdda |
0 | 0 | 49 | 394 |
408 | 649 |
| bacdadca |
0 | 0 | 49 | 432 |
703 | 316 |
| bcaadcad |
0 | 0 | 49 | 513 |
627 | 311 |
| baadadcc |
0 | 0 | 58 | 415 |
724 | 303 |
| bcdcaada |
0 | 0 | 61 | 379 |
717 | 343 |
| bcacdaad |
0 | 0 | 62 | 332 |
666 | 440 |
| bacaaddc |
0 | 0 | 75 | 475 |
441 | 509 |
| bcaaddca |
0 | 0 | 84 | 348 |
296 | 772 |
| bacaacdd |
0 | 0 | 93 | 577 |
286 | 544 |
| bacaadcd |
0 | 0 | 96 | 482 |
398 | 524 |
| bdcaadac |
0 | 0 | 99 | 358 |
646 | 397 |
| bddaccaa |
0 | 0 | 101 | 362 |
605 | 432 |
| bcdacada |
0 | 0 | 106 | 570 |
602 | 222 |
| bdcacada |
0 | 0 | 129 | 690 |
497 | 184 |
| bcddacaa |
0 | 0 | 172 | 304 |
298 | 726 |
| baacacdd |
0 | 0 | 177 | 229 |
237 | 857 |
| bacacadd |
0 | 0 | 196 | 302 |
688 | 314 |
| bcaadadc |
0 | 0 | 215 | 447 |
532 | 306 |
| bcdadaca |
0 | 0 | 216 | 507 |
469 | 308 |
| bdcdacaa |
0 | 0 | 222 | 224 |
322 | 732 |
| bccaadad |
0 | 0 | 274 | 414 |
501 | 311 |
| bcaacadd |
0 | 0 | 326 | 250 |
360 | 564 |
| bacadcad |
0 | 1 | 43 | 441 |
596 | 419 |
| bdccaada |
0 | 1 | 89 | 502 |
621 | 287 |
| bdaacdac |
0 | 1 | 96 | 551 |
453 | 399 |
| bcaadacd |
0 | 1 | 101 | 414 |
517 | 467 |
| baadcadc |
0 | 2 | 46 | 225 |
928 | 299 |
| bdcaacad |
0 | 2 | 241 | 307 |
418 | 532 |
| bcacadad |
0 | 3 | 234 | 622 |
468 | 173 |
| bcacaadd |
0 | 4 | 133 | 363 |
599 | 401 |
| bdcadaca |
0 | 4 | 148 | 534 |
480 | 334 |
| bdadacca |
0 | 4 | 169 | 682 |
475 | 170 |
| baccaadd |
0 | 4 | 208 | 510 |
629 | 149 |
| badcacad |
0 | 5 | 37 | 514 |
754 | 190 |
| bcdaadac |
0 | 6 | 106 | 364 |
675 | 349 |
| bdacacad |
0 | 7 | 92 | 422 |
674 | 305 |
| bcacdada |
0 | 9 | 133 | 510 |
596 | 252 |
| bacdacad |
0 | 10 | 49 | 671 |
508 | 262 |
| bdaccada |
0 | 12 | 143 | 627 |
525 | 193 |
| bcadadca |
0 | 13 | 215 | 514 |
567 | 191 |
| bcadcada |
0 | 14 | 198 | 534 |
581 | 173 |
| bdaaccad |
0 | 16 | 135 | 552 |
517 | 280 |
| bdaacacd |
0 | 19 | 245 | 303 |
257 | 676 |
| bdaadacc |
0 | 22 | 156 | 372 |
499 | 451 |
| bcdaacad |
0 | 25 | 297 | 325 |
413 | 440 |
| badcadac |
0 | 33 | 235 | 521 |
532 | 179 |
| bcadacad |
0 | 37 | 206 | 629 |
449 | 179 |
| bcdacaad |
0 | 37 | 315 | 240 |
389 | 519 |
| bcadadac |
1 | 77 | 567 | 525 |
266 | 64 |
| badadacc |
2 | 38 | 442 | 562 |
350 | 106 |
|