pari-seadata

[Nicolo' Piazzalunga]

I have a slight confusion: for pari, does sage need the seadata package,
or is the -small version enough?

Thanks.

[John Cremona]

Referring to 
http://pari.math.u-bordeaux.fr/packages.html

there are three versions and the larger the version you have, the larger finite fields will be supported.   The small one "should be suitable for fields up to 350 bits", the standard one "covers finite fields of cardinality q up to 750 bits"  while "The third one is huge and contains extra modular polynomials of level between 500 and 800. This is suitable for fields up to 1100 bits." (that last one is nearly 100MB).

Code should work which ever version is installed but will take longer: "PARI/GP 2.9 contains fallback code to go on when all modular polynomials in the database have been exhausted and can handle larger fields (with an important slowdown)."

[Dima Pasechnik]

note that -small versions don't exist on most (all?) Linux distros.
E.g. on Debian, where Pari and Pari packages are maintained by Pari
upstream,
there is no -small package, but only the "normal" one.
https://packages.debian.org/buster/pari-seadata


>>
>> Thanks.
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