\[\operatorname{se}_{1}\left(z,q\right)=\sin z-\tfrac{1}{8}q\sin 3z+\tfrac{1}{12%
8}q^{2}\left(\tfrac{2}{3}\sin 5z+2\sin 3z-\sin z\right)-\tfrac{1}{1024}q^{3}%
\left(\tfrac{1}{9}\sin 7z+\tfrac{8}{9}\sin 5z-\tfrac{1}{3}\sin 3z-2\sin z%
\right)+\cdots,\]