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Pré-Publication, Document De Travail Année : 2017

A program to test the p-rationality of any number field

Résumé

We give very short PARI programs (see §§ 4.1, 4.2) to test if the number field K (defined by an irreducible polynomial) is p-rational for a given prime p≥2. For the convenience of any user, the programs are written with ``verbatim'' characters, so that it is sufficient to ``copy and paste'' them from the pdf file to the ``Terminal Session--Math--gp'' of http://pari.math.u-bordeaux.fr/ or of ``Sage'' http://www.sagemath.org/fr/telecharger.html.
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Dates et versions

hal-01590183 , version 1 (19-09-2017)
hal-01590183 , version 2 (16-03-2019)

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Georges Gras. A program to test the p-rationality of any number field. 2017. ⟨hal-01590183v1⟩
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