The \({\rm SL}(2,\mathbb{C})\)-character variety of the Borromean link

For the Borromean link, we determine its irreducible \({\rm SL}(2,\mathbb{C})\) $\mathrm{SL}(2,\mathbb{C})$ -character variety, and find a formula for the twisted Alexander polynomial as a function on the character variety.