| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 |
|---|
| bddcaccaa |
0 | 0 | 10000 |
|---|
| baacacddc |
0 | 0 | 10000 |
|---|
| bddcccaaa |
0 | 0 | 10000 |
|---|
| baacccdda |
0 | 0 | 10000 |
|---|
| bacaccdda |
0 | 0 | 10000 |
|---|
| baccacdda |
0 | 0 | 10000 |
|---|
| baaaddccc |
0 | 0 | 10000 |
|---|
| baaddccca |
0 | 0 | 10000 |
|---|
| bcacddcaa |
0 | 0 | 10000 |
|---|
| bacccadad |
0 | 0 | 10000 |
|---|
| baacaddcc |
0 | 0 | 10000 |
|---|
| bacaaddcc |
0 | 0 | 10000 |
|---|
| badcccaad |
0 | 0 | 10000 |
|---|
| bacdadcca |
0 | 0 | 10000 |
|---|
| bcaccddaa |
0 | 0 | 10000 |
|---|
| bccaddcaa |
0 | 0 | 10000 |
|---|
| badaadccc |
0 | 0 | 10000 |
|---|
| badadaccc |
0 | 0 | 10000 |
|---|
| baaccdadc |
0 | 0 | 10000 |
|---|
| badaacccd |
0 | 0 | 10000 |
|---|
| bcccdadaa |
0 | 0 | 10000 |
|---|
| bacacddca |
0 | 0 | 10000 |
|---|
| baccaddca |
0 | 0 | 10000 |
|---|
| bacccdaad |
0 | 0 | 10000 |
|---|
| baaddaccc |
0 | 0 | 10000 |
|---|
| baddaccca |
0 | 0 | 10000 |
|---|
| bccddcaaa |
0 | 0 | 10000 |
|---|
| baacccadd |
0 | 0 | 10000 |
|---|
| baacccdad |
0 | 0 | 10000 |
|---|
| baccddcaa |
0 | 0 | 10000 |
|---|
| baadacccd |
0 | 0 | 10000 |
|---|
| bacddccaa |
0 | 0 | 10000 |
|---|
| bcaddccaa |
0 | 0 | 10000 |
|---|
| bcddccaaa |
0 | 0 | 10000 |
|---|
| bccacddaa |
0 | 0 | 10000 |
|---|
| baacaccdd |
0 | 0 | 10000 |
|---|
| baacdadcc |
0 | 0 | 10000 |
|---|
| baaccaddc |
0 | 0 | 10000 |
|---|
| bacaddcca |
0 | 0 | 10000 |
|---|
| bacccdada |
0 | 0 | 10000 |
|---|
| baaadcccd |
0 | 0 | 10000 |
|---|
| baadcccad |
0 | 0 | 10000 |
|---|
| baadcccda |
0 | 0 | 10000 |
|---|
| badacccda |
0 | 0 | 10000 |
|---|
| bacccaadd |
0 | 2 | 9998 |
|---|
| baddaaccc |
0 | 2 | 9998 |
|---|
| bdaaacccd |
0 | 2 | 9998 |
|---|
| bddccaaca |
0 | 3 | 9997 |
|---|
| bacaacddc |
0 | 3 | 9997 |
|---|
| bacddcaac |
0 | 4 | 9996 |
|---|
| bcaaddcca |
0 | 4 | 9996 |
|---|
| badacccad |
0 | 6 | 9994 |
|---|
| bcaaccdda |
0 | 6 | 9994 |
|---|
| bcccadaad |
0 | 13 | 9987 |
|---|
| bccacdada |
0 | 18 | 9982 |
|---|
| bdacccaad |
0 | 21 | 9979 |
|---|
| bdadaaccc |
0 | 22 | 9978 |
|---|
| bcccdaaad |
0 | 23 | 9977 |
|---|
| bcdadaacc |
0 | 31 | 9969 |
|---|
| baccacdad |
0 | 38 | 9962 |
|---|
| bcaccdada |
0 | 40 | 9960 |
|---|
| bcaccdaad |
0 | 46 | 9954 |
|---|
| bdaadcacc |
0 | 49 | 9951 |
|---|
| bccdadaca |
0 | 53 | 9947 |
|---|
| bcdaadacc |
0 | 57 | 9943 |
|---|
| bdadccaca |
0 | 71 | 9929 |
|---|
| baccdadac |
0 | 74 | 9926 |
|---|
| bdcaaccad |
0 | 83 | 9917 |
|---|
| bcddaacac |
0 | 106 | 9894 |
|---|
| bcaacacdd |
0 | 106 | 9894 |
|---|
| bcaaaccdd |
0 | 110 | 9890 |
|---|
| bccdaadca |
0 | 112 | 9888 |
|---|
| bdadccaac |
0 | 123 | 9877 |
|---|
| bddcaacac |
0 | 129 | 9871 |
|---|
| bccacadad |
0 | 134 | 9866 |
|---|
| bcaddcaac |
0 | 136 | 9864 |
|---|
| bcddacaca |
0 | 138 | 9862 |
|---|
| bddaaccac |
0 | 140 | 9860 |
|---|
| bccaddaac |
0 | 142 | 9858 |
|---|
| bdacaccad |
0 | 150 | 9850 |
|---|
| bcacddaac |
0 | 151 | 9849 |
|---|
| bcddacaac |
0 | 153 | 9847 |
|---|
| badccaacd |
0 | 166 | 9834 |
|---|
| bdaccacda |
0 | 174 | 9826 |
|---|
| bcdaadcac |
0 | 179 | 9821 |
|---|
| bcdaaadcc |
0 | 180 | 9820 |
|---|
| bdcaccaad |
0 | 181 | 9819 |
|---|
| bccdadaac |
0 | 182 | 9818 |
|---|
| bcaaacddc |
0 | 184 | 9816 |
|---|
| bccdaadac |
0 | 188 | 9812 |
|---|
| bcaddaacc |
0 | 192 | 9808 |
|---|
| bcaacdadc |
0 | 198 | 9802 |
|---|
| bddacaacc |
0 | 199 | 9801 |
|---|
| bdcaacacd |
0 | 207 | 9793 |
|---|
| bccaddaca |
0 | 208 | 9792 |
|---|
| bddcaaacc |
0 | 211 | 9789 |
|---|
| bccadadac |
0 | 213 | 9787 |
|---|
| bcdadacac |
0 | 214 | 9786 |
|---|
| bdacaaccd |
0 | 222 | 9778 |
|---|
| bdacacacd |
0 | 227 | 9773 |
|---|
| bddaaaccc |
0 | 229 | 9771 |
|---|
| bddcacaca |
0 | 231 | 9769 |
|---|
| bccacaadd |
0 | 239 | 9761 |
|---|
| bdaacaccd |
0 | 244 | 9756 |
|---|
| badcacacd |
0 | 259 | 9741 |
|---|
| baddacacc |
0 | 259 | 9741 |
|---|
| bcddaacca |
0 | 265 | 9735 |
|---|
| badccacad |
0 | 284 | 9716 |
|---|
| bccaacdad |
0 | 286 | 9714 |
|---|
| bcaaccadd |
0 | 286 | 9714 |
|---|
| bdadaccac |
0 | 295 | 9705 |
|---|
| bcacddaca |
0 | 303 | 9697 |
|---|
| bccddaaac |
0 | 304 | 9696 |
|---|
| bcacdadac |
0 | 311 | 9689 |
|---|
| bcacacadd |
0 | 319 | 9681 |
|---|
| bccaacdda |
0 | 351 | 9649 |
|---|
| badaccacd |
0 | 363 | 9637 |
|---|
| bcaddacac |
0 | 366 | 9634 |
|---|
| bacacdadc |
0 | 382 | 9618 |
|---|
| bdadcacac |
0 | 387 | 9613 |
|---|
| bcacaddca |
0 | 393 | 9607 |
|---|
| bdcaaaccd |
0 | 402 | 9598 |
|---|
| bcdaadcca |
0 | 436 | 9564 |
|---|
| bdccacada |
0 | 477 | 9523 |
|---|
| bacacddac |
0 | 480 | 9520 |
|---|
| bcaccadda |
0 | 499 | 9501 |
|---|
| baccaacdd |
0 | 499 | 9501 |
|---|
| bcacacdda |
0 | 510 | 9490 |
|---|
| baccacadd |
0 | 536 | 9464 |
|---|
| baccaddac |
0 | 607 | 9393 |
|---|
| bacddaacc |
0 | 615 | 9385 |
|---|
| bacaccadd |
0 | 644 | 9356 |
|---|
| bdccaacda |
0 | 679 | 9321 |
|---|
| bacdadacc |
0 | 822 | 9178 |
|---|
| bacdadcac |
0 | 868 | 9132 |
|---|
| baccadadc |
0 | 1032 | 8968 |
|---|
| bccaadacd |
1 | 834 | 9165 |
|---|
| baadcaccd |
2 | 371 | 9627 |
|---|
| badccacda |
3 | 561 | 9436 |
|---|
| bccaaadcd |
3 | 652 | 9345 |
|---|
| bcddaaacc |
4 | 128 | 9868 |
|---|
| baadccacd |
5 | 645 | 9350 |
|---|
| bccadcaad |
7 | 378 | 9615 |
|---|
| bcdacdaac |
8 | 300 | 9692 |
|---|
| bcdaacacd |
9 | 957 | 9034 |
|---|
| bacdacdac |
9 | 1368 | 8623 |
|---|
| baccadcad |
18 | 505 | 9477 |
|---|
| bccadaacd |
25 | 1126 | 8849 |
|---|
| bdcacadac |
27 | 1869 | 8104 |
|---|
| bcdacacad |
29 | 1910 | 8061 |
|---|
| bcaacdacd |
38 | 832 | 9130 |
|---|
| bacdacacd |
39 | 2316 | 7645 |
|---|
| bcadacadc |
42 | 1088 | 8870 |
|---|
| bdaaccadc |
45 | 613 | 9342 |
|---|
| bdcdaacac |
45 | 919 | 9036 |
|---|
| bcacadacd |
50 | 813 | 9137 |
|---|
| bdaccadca |
54 | 1293 | 8653 |
|---|
| bcdaaccad |
55 | 1683 | 8262 |
|---|
| bcacdaacd |
56 | 1058 | 8886 |
|---|
| bdcacdcaa |
60 | 1154 | 8786 |
|---|
| baaccdacd |
64 | 858 | 9078 |
|---|
| bdcdaccaa |
65 | 397 | 9538 |
|---|
| badcadcca |
65 | 542 | 9393 |
|---|
| bcaadcacd |
66 | 1162 | 8772 |
|---|
| bcdaacdac |
67 | 1030 | 8903 |
|---|
| bcdaaaccd |
71 | 946 | 8983 |
|---|
| baadcadcc |
77 | 175 | 9748 |
|---|
| badcacdac |
77 | 1505 | 8418 |
|---|
| bcdacacda |
84 | 2298 | 7618 |
|---|
| bdcacdaca |
87 | 1700 | 8213 |
|---|
| bcdacadca |
95 | 2377 | 7528 |
|---|
| badacacdc |
105 | 1562 | 8333 |
|---|
| bccdaacda |
113 | 1710 | 8177 |
|---|
| bdacacdac |
115 | 1562 | 8323 |
|---|
| badacdacc |
122 | 776 | 9102 |
|---|
| badcacdca |
122 | 938 | 8940 |
|---|
| bcacdacda |
126 | 1128 | 8746 |
|---|
| baccdaacd |
139 | 2389 | 7472 |
|---|
| baacdacdc |
158 | 461 | 9381 |
|---|
| bcdacaadc |
165 | 1476 | 8359 |
|---|
| bdacdacac |
172 | 1795 | 8033 |
|---|
| bacacdacd |
175 | 1338 | 8487 |
|---|
| bdacdaacc |
176 | 1323 | 8501 |
|---|
| bdcdacaca |
179 | 1713 | 8108 |
|---|
| badcdacca |
180 | 569 | 9251 |
|---|
| badccaadc |
180 | 2265 | 7555 |
|---|
| bdacadacc |
191 | 1447 | 8362 |
|---|
| baadcacdc |
198 | 625 | 9177 |
|---|
| bccdaaacd |
201 | 1478 | 8321 |
|---|
| bcdcaaadc |
203 | 1342 | 8455 |
|---|
| bcadcaacd |
206 | 2740 | 7054 |
|---|
| bdaacacdc |
216 | 1186 | 8598 |
|---|
| bdcdaacca |
220 | 2815 | 6965 |
|---|
| badacadcc |
224 | 1445 | 8331 |
|---|
| bdacadcac |
226 | 1767 | 8007 |
|---|
| bacdaaccd |
234 | 2531 | 7235 |
|---|
| bcdacaacd |
239 | 2692 | 7069 |
|---|
| badcadacc |
248 | 1496 | 8256 |
|---|
| bacdcacad |
251 | 1460 | 8289 |
|---|
| bcdacdaca |
253 | 1301 | 8446 |
|---|
| bcacdcaad |
254 | 1249 | 8497 |
|---|
| bcadcadac |
322 | 1459 | 8219 |
|---|
| bdacdcaca |
329 | 1314 | 8357 |
|---|
| bccdaacad |
354 | 3278 | 6368 |
|---|
| baacdaccd |
359 | 1698 | 7943 |
|---|
| baccadacd |
364 | 1425 | 8211 |
|---|
| badcdaacc |
375 | 2157 | 7468 |
|---|
| bcdaacdca |
375 | 3009 | 6616 |
|---|
| bdaaccdac |
393 | 1434 | 8173 |
|---|
| bcdccaaad |
408 | 1555 | 8037 |
|---|
| bdcdacaac |
415 | 2401 | 7184 |
|---|
| bcdcaadca |
417 | 2791 | 6792 |
|---|
| badcdacac |
446 | 2049 | 7505 |
|---|
| bdacaacdc |
448 | 2736 | 6816 |
|---|
| bacdacdca |
453 | 1441 | 8106 |
|---|
| bacdcaacd |
456 | 3318 | 6226 |
|---|
| baadcdacc |
463 | 489 | 9048 |
|---|
| bccdacaad |
504 | 2504 | 6992 |
|---|
| bdaccadac |
505 | 2256 | 7239 |
|---|
| bcdcaadac |
519 | 2359 | 7122 |
|---|
| bcaadcdac |
520 | 1006 | 8474 |
|---|
| bdacadcca |
526 | 1940 | 7534 |
|---|
| badaacdcc |
550 | 1860 | 7590 |
|---|
| bcdcaacda |
558 | 3288 | 6154 |
|---|
| baacacdcd |
585 | 684 | 8731 |
|---|
| bccdcaaad |
617 | 2088 | 7295 |
|---|
| bdccaadac |
637 | 2955 | 6408 |
|---|
| badaccadc |
648 | 2035 | 7317 |
|---|
| bcdcaaacd |
658 | 2832 | 6510 |
|---|
| bacadcdac |
674 | 1738 | 7588 |
|---|
| bcdcadaca |
679 | 2412 | 6909 |
|---|
| bcdccaada |
751 | 1952 | 7297 |
|---|
| bdacdcaac |
753 | 2484 | 6763 |
|---|
| badccadca |
763 | 2318 | 6919 |
|---|
| bacacdcda |
789 | 1079 | 8132 |
|---|
| bdaccdaca |
862 | 1899 | 7239 |
|---|
| bcacdcada |
904 | 1693 | 7403 |
|---|
| baaccdcad |
961 | 945 | 8094 |
|---|
| bacdccaad |
982 | 2141 | 6877 |
|---|
| bacaadcdc |
1018 | 2443 | 6539 |
|---|
| bdccadaca |
1024 | 4083 | 4893 |
|---|
| bcaaadcdc |
1034 | 1434 | 7532 |
|---|
| bcdcadaac |
1051 | 2268 | 6681 |
|---|
| bcaadccad |
1102 | 2476 | 6422 |
|---|
| bacaacdcd |
1137 | 2157 | 6706 |
|---|
| baaaccdcd |
1162 | 301 | 8537 |
|---|
| badacdcca |
1207 | 597 | 8196 |
|---|
| badccadac |
1219 | 3482 | 5299 |
|---|
| bdaacdcca |
1237 | 1938 | 6825 |
|---|
| bacdcadac |
1250 | 2614 | 6136 |
|---|
| badcdccaa |
1253 | 236 | 8511 |
|---|
| bdccdaaac |
1260 | 3064 | 5676 |
|---|
| baacdcadc |
1276 | 1496 | 7228 |
|---|
| baadacdcc |
1284 | 499 | 8217 |
|---|
| bcadccada |
1307 | 2325 | 6368 |
|---|
| baadcdcca |
1317 | 63 | 8620 |
|---|
| bdccdacaa |
1318 | 1115 | 7567 |
|---|
| baaadcdcc |
1325 | 59 | 8616 |
|---|
| bcacdcdaa |
1449 | 879 | 7672 |
|---|
| bacadccda |
1462 | 1704 | 6834 |
|---|
| bdaccdcaa |
1551 | 1209 | 7240 |
|---|
| bcaaacdcd |
1599 | 2650 | 5751 |
|---|
| bcaacdcda |
1634 | 2009 | 6357 |
|---|
| baadccadc |
1643 | 1706 | 6651 |
|---|
| bcaadaccd |
1703 | 2927 | 5370 |
|---|
| bacaadccd |
1707 | 3192 | 5101 |
|---|
| bacdcdaac |
1824 | 1585 | 6591 |
|---|
| baadccdac |
1932 | 1615 | 6453 |
|---|
| badaccdca |
1962 | 665 | 7373 |
|---|
| baacdcdac |
1968 | 1375 | 6657 |
|---|
| bacdcdaca |
2035 | 1417 | 6548 |
|---|
| baacadcdc |
2036 | 1373 | 6591 |
|---|
| baaacdccd |
2236 | 140 | 7624 |
|---|
| baadaccdc |
2243 | 403 | 7354 |
|---|
| bacdccdaa |
2266 | 114 | 7620 |
|---|
| bcaadccda |
2299 | 2590 | 5111 |
|---|
| baaadccdc |
2316 | 71 | 7613 |
|---|
| badccdcaa |
2376 | 139 | 7485 |
|---|
| baaacdcdc |
3831 | 137 | 6032 |
|---|
| baacdcdca |
4012 | 130 | 5858 |
|---|
| |
| Projections |
| Variety | Problem | # |
| Fl(2;6) |
(W )3W
| 2 |
|
|
)3W
(Y
)3(Z
)2 = 4 on Fl(2,4,5;6)
