The pari option essentially just identifies which group it is from a list, and gives back some very basic data about the group. This is not always easy to extract (see https://trac.sagemath.org/ticket/24469). If you want to do more, for example use group elements as automorphisms of the field, you need more.
John On 13 April 2018 at 13:57, Simon King <simon.k...@uni-jena.de> wrote: > Hi David, > > On 2018-04-13, David Loeffler <d.a.loeff...@warwick.ac.uk> wrote: > > On 13 April 2018 at 12:25, Sanketh <mendasank...@gmail.com> wrote: > > > >> This is probably obvious but why is type='gap' not standard for Galois > >> groups? > >> > > > > Because Pari is *vastly* faster. E.g. see this example, where Pari beats > > Gap by a factor of 100: > > > > sage: K.<a> = NumberField(x^5 - x - 1) > > sage: time _=K.galois_group(type='pari') > > CPU times: user 8.26 ms, sys: 3.65 ms, total: 11.9 ms > > Wall time: 53.5 ms > > sage: time _=K.galois_group(type='gap') > > CPU times: user 212 ms, sys: 149 ms, total: 361 ms > > Wall time: 5.38 s > > Might be interesting to offer libgap as one option. After all, it avoids > the time to start Gap. > > Best regards, > Simon > > -- > You received this message because you are subscribed to the Google Groups > "sage-devel" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-devel+unsubscr...@googlegroups.com. > To post to this group, send email to sage-devel@googlegroups.com. > Visit this group at https://groups.google.com/group/sage-devel. > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at https://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
