Haha! That could be a good Easter egg... ... and I would not mind if some algebraists had a look at the NumberField elements that come out either from this adapted function either!
Le mardi 10 avril 2018 11:02:38 UTC+2, Dima Pasechnik a écrit : > > I misread this as "getting_number_field_elements_from_algebraists"... > > On Monday, April 9, 2018 at 5:10:07 PM UTC+1, jplab wrote: >> >> Dear all, >> >> In order to get algebraic polyhedra using the normaliz backend [1], we >> modify the function >> >> number_field_elements_from_algebraics of qqbar.py to give embedded number >> fields and also accept a larger class of algebraic numbers, say coming from >> cyclotomic fields [2]. >> >> For example, this is now possible: >> >> sage: UCF = UniversalCyclotomicField() >> sage: E = UCF.gen(5) >> sage: L.<b> = NumberField(x^2-189*x+16, embedding=200) >> sage: my_nums = [-52*E - 136*E^2 - 136*E^3 - 52*E^4, >> L.gen()._algebraic_(AA),sqrt(2)] >> sage: aa_my_nums = [AA(_) for _ in my_nums] >> sage: res = number_field_elements_from_algebraics(aa_my_nums,embedded=True) >> sage: res >> (Number Field in a with defining polynomial y^8 - 35670*y^6 + 476899047*y^4 >> - 2832410271650*y^2 + 6305298701739921, >> [2310/26212773509*a^7 - 185432947/78638320527*a^5 + >> 1652517502195/78638320527*a^3 - 4904676315215467/78638320527*a + 94, >> -1238/2803377488467023*a^7 + 185460719/11213509953868092*a^5 - >> 2754936849443/11213509953868092*a^3 + 8180694680816975/3737836651289364*a + >> 189/2, >> -1979/1887160880826*a^7 + 26472586/943580440413*a^5 - >> 235822245043/943580440413*a^3 + 466325019915415/629053626942*a], >> Ring morphism: >> From: Number Field in a with defining polynomial y^8 - 35670*y^6 + >> 476899047*y^4 - 2832410271650*y^2 + 6305298701739921 >> To: Algebraic Real Field >> Defn: a |--> 96.9475535136628?) >> sage: res[0].gen_embedding() >> 96.9475535136628? >> >> >> The ticket 2018 needs review and it would be nice to have the opinion of >> experts on number fields in Sage... >> >> For example, there is currently one failing doctest where it seems that >> the newer version is smarter, so that the test is not necessary anymore. >> >> [1] https://trac.sagemath.org/ticket/25097 >> [2] https://trac.sagemath.org/ticket/20181 >> > -- 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.
