Hi all, Can someone explain why there is an error when I try to compute an Artin symbol which is supposed to be trivial? In the following example, I am computing Artin symbols of some odd primes in the quadratic extension of discriminant -4. The Artin symbols of primes $\equiv 3\bmod 4$ are computed correctly, while there is an error for every $p\equiv 1\bmod 4$.
I know this is a simple example and I don't need Sage to compute it for me, but I am getting a similar error in a more complicated situation where I can't do computations by hand. Thanks! Djordjo Sage code: QI.<ii> = NumberField(x^2+1) L = QI.absolute_field('c') G = L.galois_group() print G print [G.artin_symbol(P) for P in L.primes_above(3)] print [G.artin_symbol(P) for P in L.primes_above(7)] print [G.artin_symbol(P) for P in L.primes_above(11)] print [G.artin_symbol(P) for P in L.primes_above(5)] Output: Galois group of Number Field in c with defining polynomial x^2 + 1 [(1,2)] [(1,2)] [(1,2)] Traceback (click to the left of this block for traceback) ... sage.libs.pari.gen.PariError: incorrect permutation in permtopol -- 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 http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.