Hi, everyone.
I'm an old user of GP and a very raw beginner when it comes to Sage, so
please forgive the naiveté!
For a new edition of my book on the p-adics I am trying to add pointers to
how to do things on a computer with p-adic numbers. Everything in the book
is very elementary, so I'
Dear Fernando,
PARI/GP is included in Sage so that you can at least do
sage: R = PolynomialRing(ZZ, 'x')
sage: x = R.gen()
sage: p = x^2 - 2
sage: pari.padicappr(p, pari('4 + O(7)'))
[4 + O(7)]~
There might be some more convenient functions using the Sage
native implementations of p-adic number
Is this what you're looking for?
sage: Qp=pAdicField(7)
sage: g=Qp['x'](x^2-2)
sage: g.hensel_lift(4)
You can use pari rather directly; relying on sage converting its data types
to appropriate pari types:
pari(g).padicappr(Qp(4))
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