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When I was young I used to work with Mathematica for symbolic computation. I switched to
Maple when Mathematica failed to compute a discriminant. Maple was quite useful
but it was a mesh the changes of syntaxis after updating. Moreover GAP and Singular were
more successful in most of my tasks, with the problem of communicating between them. This is why I finally moved
to Sagemath, high quality free software containing them. I am not a developer but we
are lucky in our team to have Miguel Marco, one of Sagemath
developers. Anyway, you may find here some code which may be useful,
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Functions related with braid monodromy: download the file in
Github
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Code used in my joint paper with J.I. Cogolludo, B. Guerville-Ballé and M. Marco
Enrique Artal
2016-12-06