Translating quiver in QPA to Sage

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Thank you very much! Here is how I entered it into the sage online cell:

data = ["v1","v2","v3","v4","v5","v6","v7","v8"], [["v1","v1","a"],["v1","v2","b"],["v2","v3","c"],["v3","v4","d"], 
["v4","v5","e"],["v5","v5","f"],
["v3","v6","g"],["v6","v7","h"],["v7","v8","i"],["v8","v3","j"]]          
U=DiGraph(data, format="vertices_and_edges",loops=True)                     
display(U)

This is very surprising that it works so easily. But there are two small problems:

1. Loops are displayed very strange. (this is not a very big problem since loops appear rarely)

2. The arrows have no names.

Is there an easy way to fix this?

Arrows names are there but not displayed by default. You need to ask for them to be displayed.sage: U.plot(edge_labels=True)

Thank you very much again! Is there a way to obtain the digraph as an object in sage so that one can obtain its latex code for example (and not just plot it)? For example like this one can obtain the latex code of the digraph without the edge labelings:

def from_QPA(Q):
arrows = [(v.SourceOfPath(), v.TargetOfPath(), v) for v in Q.ArrowsOfQuiver() ]
elements = Q.VerticesOfQuiver()
return DiGraph([elements, arrows], loops=True, format='vertices_and_edges')
libgap.LoadPackage("QPA")
Q = libgap.Quiver( ["v1","v2","v3"], [["v1","v2","a1"],["v2","v3","a2"],["v3","v1","a3"]] )
U=from_QPA(Q)
display(U)
display(latex(U))

Is there an easy way to obtain it with edge labelings?

Have a look at sage: U.set_latex_options?

Thank you very much again. I found the missing option using your suggestion, but sadly for large quivers the displayed directed graph looks terrible despite trying some options to fix that.

But this might be also a problem of tikz and Im not sure anymore whether Sage is the right thing to use for that. I therefore also posted the question in https://tex.stackexchange.com/questio... .