on the energy of the line graph of unitary cayley graphs

The energy of a graph $g$ is the sum of the absolute values of the eigenvalues of its adjacency matrix. the energy of the line graph of graph $g$ is denoted by $e(l(g))$.  the unitary cayley graph $x_n$ is a graph with the vertex set $z_n={0, 1, ldots, n-1}$ and the edge set ${(a,b) , : , ged(a-b,n)=1}$. in this paper, we focus on the line graph of the unitary cayley graph $x_n$ and compute the spectrum of line graphs of $x_n$ and its complement graph $overline{x_n}$. we also obtain the energy of the line graph of $x_n$ and $overline{x_n}$.