Hi,

On Sunday, June 20, 2021 at 10:18:50 AM UTC+9 zsc...@gmail.com wrote:

> I have reason to believe that the point P is not torsion and so Magma is 
> correct and Sage is incorrect.  I don't know enough about the algorithms 
> used to work with points on hyperelliptic Jacobians and so I'm not 
> confident in my ability to track down what's going on.
>

By my own computation, I confirm that Sage is incorrect. Looking at the 
Sage source code, I see that Sage uses Cantor's reduction algorithm based 
on Mumford representation of divisors by ideals. Sage wrongly computes 5*P 
to (1) unit ideal. So I guess there seems a bug in the implementation of 
Cantor's algorithm...  

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