Thanks!  I can try to investigate, but in the meantime I will open a ticket 
for this on trac.

On Sunday, June 20, 2021 at 7:32:47 AM UTC-4 Kwankyu wrote:

> 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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