| 
  |  | Number of Real Solutions |  | Necklaces | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 
|---|
 | dccbaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dccabaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dccaaba | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dccaaab | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcbcaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcbacaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcbaaca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcbaaac | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcacbaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcacaba | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcacaab | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcabcaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcabaca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcabaac | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcaacba | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcaacab | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcaabca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dcaaacb | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dbccaaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dbcacaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dbcaaca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dbaccaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dbacaca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dbaacca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | daccbaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | daccaba | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dacbcaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dacbaca | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dacacba | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 | dabccaa | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10000 | 
|---|
 |