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math.NT2010★ 4 cited
Arithmetic in big number fields: the '+Ideals' package
J. Guardia, J. Montes, E. Nart
We introduce our package '+Ideals' for Magma, designed to perform the basic tasks related to ideals in number fields without pre-computing integral bases. It is based on Montes alg…
math.NT2010★ 6 cited
A new computational approach to ideal theory in number fields
Jordi Guardia, Jesus Montes, Enric Nart
Let be the number field determined by a monic irreducible polynomial with integer coefficients. In previous papers we parameterized the prime ideals of in terms of c…