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Enumerating Galois representations in Sage

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arxiv 1006.4084 v2 pith:EGD6T5IJ submitted 2010-06-21 math.NT

Enumerating Galois representations in Sage

classification math.NT
keywords algorithmenumeratinggaloisrepresentationssagediscussgiveimplementation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present an algorithm for enumerating all odd semisimple two-dimensional mod p Galois representations unramified outside p. We also discuss the implementation of this algorithm in Sage and give a summary of the results we obtained.

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