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/1ba5e1b6-96a9-4d8f-a251-084271e53d7dn%40googlegroups.com.
