 Eisenstein polynomial (source code)

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= Eisenstein polynomial
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For a <discrete valuation ring> with <uniformizer> $\pi$, an Eisenstein polynomial is a monic polynomial whose nonleading coefficients are divisible by $\pi$ and whose constant coefficient is not divisible by $\pi^2$. It is <irreducible polynomial>[irreducible], and adjoining one of its roots gives a totally ramified extension.

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