And the following is even more worrying:

sage: (GF(7)^2).hom([[20,0],[0,21]],ZZ^2)
Free module morphism defined by the matrix
[6 0]
[0 0]
Domain: Vector space of dimension 2 over Finite Field of size 7
Codomain: Ambient free module of rank 2 over the principal ideal domain Integer 
Ring

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