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Sebastian Pauli, Brian Sinclair, Maurizio Monge, David Roe Sebastian Pauli, Brian Sinclair, Maurizio Monge, David Roe, Xavier Caruso
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Implement a native Sage algorithm for local field factorization. For more detail, see [[http://wiki.sagemath.org/padics/PolynomialFactoring]]. Implement a native Sage algorithm for local field polynomial factorization. For more detail, see [[http://wiki.sagemath.org/padics/PolynomialFactoring]].
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A functioning version of the algorithm is up: See [[http://trac.sagemath.org/sage_trac/ticket/12561|#12561]]. A functioning version of the algorithm is up: See [[http://trac.sagemath.org/sage_trac/ticket/12561|#12561]].

Initial doctests show that some examples are incorrectly returned as irreducible.

=== A question ===

Given a polynomial P, can we derive from this algorithm a way to compute the graph (embedded in the Berkovich line) whose edges are the roots of P?

People

Sebastian Pauli, Brian Sinclair, Maurizio Monge, David Roe, Xavier Caruso

Description

Implement a native Sage algorithm for local field polynomial factorization. For more detail, see http://wiki.sagemath.org/padics/PolynomialFactoring.

Current Progress

A functioning version of the algorithm is up: See #12561.

Initial doctests show that some examples are incorrectly returned as irreducible.

A question

Given a polynomial P, can we derive from this algorithm a way to compute the graph (embedded in the Berkovich line) whose edges are the roots of P?

padicSageDays/Projects/Factoring (last edited 2012-02-22 22:31:34 by bsinclai)