For questions concerning Sage.

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61 views

Using sage to test for squares in residue fields

Let $K$ be a number field, $x \in \mathcal{O}_K$, and $\mathfrak{p} $ a prime of $K$. I want to find out using sage whether or not the reduction of $x$ modulo $\mathfrak{p}$ is a square in the ...
3
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0answers
50 views

p-adic liftings on SAGE

I asked a question the other day: Multidimensional Hensel lifting which @Hurkyl kindly and very elegantly answered. A follow-on from this is that I have tried to implement exactly the "algorithm" ...
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0answers
13 views

Convolving two functions doesn't work as expected in sage

I'm trying to convolve two functions as follows: ...
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0answers
19 views

How to append integers in sage

Does anyone know how to append integers using sage or python? Example: v = 11; x = 45; After appending: 1145 Please help
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0answers
67 views

Necessary and sufficient conditions for Hensel lifting in the multidimensional case

in Multidimensional Hensel lifting, @Hurkyl gave a neat sufficient condition for the existence of $p$-adic liftings in the multidimensional case. I have finally gotten around (but please also see ...
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0answers
21 views

Running gp in sage how do I access. e.g.. e.j

I am new to sage and I am trying to run the gp interface. In gp I can define an elliptic curve e and then access j by e.j ...
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0answers
55 views

Are there some useful video podcast channels about SAGE?

I am wondering that if there is any convenient video source to reach and have benefit from it in order to learn and use SAGE (Maths Software)? I've known the official help page ( ...
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0answers
70 views

How to calculate $L'(1,\chi)/L(1,\chi)$ in SAGE?

Question as in title, where $L(s,\chi)$ is the Dirichlet $L$-function associated with the nontrivial character modulo $3$. Please provide complete SAGE code. Thank you in advance.
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39 views

defining elliptic curve over general field in SAGE

How would one define an elliptic curve of over the algebraic closure of a field which is not a finite field or a number field on SAGE? Specifically, I'd like to define the curve over the algebraic ...
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103 views

Mathematica manipulate to Sage interact

I have this Mathematica code (just a simple plot): ...