Tracefree $\mathrm{S}\mathrm{L}(2,\mathbb{C})$-representations of Montesinos links

Given a link $L$, a representation ${\pi }_1(S^3-L)\to \mathrm{S}\mathrm{L}(2,\mathbb{C})$ is {\it tracefree} if the image of each meridian has trace zero. We determine the conjugacy classes of tracefree representations when $L$ is a Montesinos link.