| | Number of Real Solutions |
| Necklaces |
0 |
2 | 4 | 6 | 8 |
| EABACD |
0 | 0 | 238 | 1112 |
650 |
| EAABCD |
0 | 0 | 741 | 1193 |
66 |
| ECADAB |
0 | 17 | 349 | 1296 |
338 |
| EBCADA |
0 | 17 | 1004 | 836 |
143 |
| ECABAD |
0 | 20 | 757 | 920 |
303 |
| EACBAD |
0 | 24 | 532 | 1096 |
348 |
| EABCAD |
0 | 33 | 387 | 1288 |
292 |
| ECAABD |
0 | 68 | 768 | 910 |
254 |
| EACABD |
0 | 72 | 431 | 954 |
543 |
| EBADCA |
0 | 113 | 921 | 873 |
93 |
| EBAACD |
0 | 128 | 906 | 713 |
253 |
| EABCDA |
0 | 192 | 1022 | 730 |
56 |
| ECDBAA |
0 | 196 | 1128 | 570 |
106 |
| EACDBA |
0 | 232 | 1268 | 466 |
34 |
| ECAADB |
0 | 291 | 988 | 575 |
146 |
| EACBDA |
0 | 299 | 941 | 634 |
126 |
| EBDCAA |
0 | 324 | 785 | 663 |
228 |
| EAACBD |
0 | 520 | 698 | 632 |
150 |
| EBCAAD |
0 | 773 | 801 | 371 |
55 |
| EBDACA |
1 | 59 | 632 | 976 |
332 |
| ECADBA |
1 | 195 | 912 | 743 |
149 |
| EBACDA |
1 | 249 | 893 | 662 |
195 |
| ECABDA |
3 | 215 | 1016 | 629 |
137 |
| EBACAD |
17 | 182 | 797 | 807 |
197 |
| ECDABA |
21 | 199 | 811 | 685 |
284 |
| ECBDAA |
31 | 615 | 889 | 318 |
147 |
| ECBAAD |
42 | 104 | 1043 | 763 |
48 |
| ECBADA |
42 | 192 | 934 | 692 |
140 |
| ECDAAB |
60 | 376 | 967 | 527 |
70 |
| EBCDAA |
70 | 195 | 1034 | 626 |
75 |
|