Auslander-Reiten Quiver - knitting

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Given a quiver representation

 A3 = DiGraph({1 : {2 : ['a']}, 
               2 : {3 : ['b']}})

or

 A4 = DiGraph({1 : {2 : ['a']}, 
               2 : {3 : ['b']},
               3 : {4 : ['b']}})

do you know a script or an algorithm which can be downloaded or is part of a library to perform knitting for determining the Auslander-Reiten quiver, for simple cases such as above. The above are the Dynkin diagrams of type $\Bbb A_3$ and $\Bbb A_4$.

Knitting is described in A. Schiffler, Quiver Representations, Springer, 2014, p. 70 f. I realize there is a way to calculate the Auslander-Reiten-Translate (https://doc.sagemath.org/html/en/refe...).