| 
  |  | Number of Real Solutions |  | Necklaces | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 
|---|
 | dcbaaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dcabaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dcaabaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dcaaaba | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dcaaaab | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dbcaaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dbacaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dbaacaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dbaaaca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dacbaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dacabaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dacaaba | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dabcaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | dabacaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 | daacbaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 99998 | 
|---|
 |