If \({\rm{z}} = {\left( {\frac{{\sqrt 3 }}{2} + \frac{{\rm{i}}}{2}} \right)^{107}} + {\left( {\frac{{\sqrt 3 }}{2} - \frac{{\rm{i}}}{2}} \right)^{107}}\), then what is the imaginary part of z equal to?
1
0
2
\(\frac{1}{2}\)
3
\(\frac{{\sqrt 3 {\rm{\;\;}}}}{2}\)
4
-1