Automorphism group characters (reviewed)

If $G$ is a group of automorphisms acting on a curve $X/\C$, the group algebra decomposition of its Jacobian $J$ into a product of abelian varieties $A_1\times \cdots\times A_s$, gives rise to representations of $G$ via the induced action of $G$ on each of the factors $A_i$ (viewed as a complex vector space).

The character of each of these representations is identified by its index in the character table for $G$ as listed by Magma (which may differ from GAP).