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Get vector from abelian group

I want to represent the Cayley graph of an abelian group (let's say $A=Z_5^2$) is a way that the element $g=a^i b^j$ is in the position $[i,j]$. I need a method .pos()such that:

A= groups.presentation.FGAbelian([n,n]);

 ---> g = a*b*a^-1


 ---> [0,1]

How could I do that?