I want to compute a single place of degree 8 so I can use it as described in the OP.
On Saturday, December 14, 2024 at 7:48:15 AM UTC-8 Nils Bruin wrote: > On Friday, 13 December 2024 at 17:48:38 UTC-8 Kwankyu wrote: > > On Sat, Dec 14, 2024 at 9:09 AM Sai Chandhrasekhar <skchandh...@gmail.com> > wrote: > > When I ran it, it took a little over an hour. Is there a way to speed up > this calculation? > > > No. > > > Well ... it depends on what you want to know. The curve you are describing > is already defined over GF(2). It is of genus 5, so its zeta function is > determined by the number of places up to degree 5. That gets you the whole > zeta function, so if you're interested in the number of places of degree 8 > over GF(2^16) [i.e., the places of degree 19 over GF(2), with some careful > inclusion-exclusion counting] then you'd be able to get that info from the > zeta function without having to do explicit computations with places. > > In fact, to get information about places of degree 8 over GF(2^16), > perhaps you can get the information you want already from the corresponding > point of degree 1 over GF(2^19). > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/sage-support/09a480cd-763c-43e4-abaa-3769436f9d47n%40googlegroups.com.
