Hello Fernando, I want just to say that I liked a lot your book "Introduction to p-adic numbers" when I bought and read it some years ago. A very good fun "travel" in number theory. I appreciate the way it process by extending fields. I tried to code something in Sage too (Hensel Lemma) but I am no clearly satisfied about it : ...some tendency by sagemath...to convert to "fixed field" (rational)..but too much difficult to explain by me.
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