1. The diagram below shows circles ${C}_{1}$ and ${C}_{2}$ which intersect at the two points $A$ and $B$. Circle ${C}_{1}$ has equation  ${x}^{2}+{y}^{2}-16x-10y+39=0$, and points $A$ and $B$ lie along the line with equation  $3x-y=-1$. Circle ${C}_{2}$also passes through the point (-13, 2). 

Find an equation of circle ${C}_{2}$.