A deterministic polynomial-time algorithm computes two-element representations of ideals in number fields under a coprimality condition on the norm and index.
Foundations of Computational Mathematics13(5), 729–762 (2013)
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Deterministic and Efficient Ideal Arithmetic via Two-Element Representations
A deterministic polynomial-time algorithm computes two-element representations of ideals in number fields under a coprimality condition on the norm and index.