I see. But then, how should we determine quadratic residuosity in Sage? 
(for tractible inputs)
 

> I don't think this is evidence of a bug, because t2 is not prime.  It is 
> only when n is is an odd prime that kronecker(a,n) tells you whether a is a 
> quadratic residue. See the wikipedia article on Kronecker symbol 
> <https://en.wikipedia.org/wiki/Kronecker_symbol>.
>
> On Wednesday, May 6, 2020 at 1:37:12 PM UTC-6, Taylor Huang wrote:
>>
>> As the attachment shown. kronecker(-1,t2) returns 1, but 
>> mod(-1,t2).sqrt() says the square root cannot be done.
>> It seems to be a bug.
>>
>

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