That seems to be it. Thanks!
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Hello,
I seem to have run across a potential bug on Sage:
>
> p = previous_prime(2^64)
>> F. = GF(p^2)
>> x * 2**63
>>
>>
> throws a "overflow in t_INT-->long assignment" exception creating the
> element x * 2**63.
>
This is indeed a bug. Sage calls the wrong PARI function for this
conversion:
Hi Samuel,
I guess t_INT is the 64-bit sign integer in the pari library, which is
written in C. It means the positive size is 63 bits. The number 2^63
corresponds to -1 and pari raises an error. The following code works fine.
sage: p = previous_prime(2^64)
sage: F. = GF(p^2)
sage: x * (2**63 -
