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arxiv: 2606.01453 · v1 · pith:GHMPUGUVnew · submitted 2026-05-31 · 🧮 math.NT

Distinguished defining polynomials for extensions of p-adic fields

classification 🧮 math.NT
keywords p-adicalgorithmdatabasedefiningdistinguishedfieldschoosingexpansion
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We give an algorithm for choosing a distinguished defining polynomial for a p-adic field extension. This algorithm formed an important ingredient in the recent expansion of the database of p-adic fields within the L-functions and modular forms database.

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