Hi,

To extend beyond a pre-computed database, I suggest linking the cm library
of Andreas Enge:

http://www.multiprecision.org/index.php?prog=cm

Pari has implementation of the weber function, but I think this (cm) should 
be
the reference implementation, in the framework of standard mpc/mpfr 
libraries.

In the same direction, it would be desirable to interface the library cmh 
for the
genus 2 analogs:

http://cmh.gforge.inria.fr/

Best,

David

On Saturday, March 5, 2016 at 1:22:09 PM UTC+1, Ибкс Спбпу wrote:
>
> Greetings!
>
> We are  the students of  Peter the Great St. Petersburg Polytechnic 
> University, Information Security department (Russia, St. Petersburg).
> During the stuyding of Algebraic Geometry we use free mathematics software 
> system SAGE. For completing our lab "Elliptic curve generation" we had to 
> use Weber Polynomial. We couldn't find a built-in function of Weber 
> Polynomial. So we realized one and we suggest it to be included in SAGE. 
>
> Is it possible?
> Thank you in advance for your answer.
>

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