Re: [sage-support] Strange behavior when evaluating multivariate polynomials over integers modulo n
On Mon, Mar 8, 2021 at 12:27 PM Alex Braat wrote: > > Small update: > Replacing Integers(p^2) by QuotientRing(ZZ, p^2) seems to fix the issue. Could you open a trac ticket on this? It looks as if multivariate polynomial rings over Integers(p^2) are directly using Singular, but I don't think Singular can do such computations (over non-fields) QuotientRing(ZZ, p^2) does something else. > > Op maandag 8 maart 2021 om 10:34:06 UTC+1 schreef dim...@gmail.com: >> >> On Mon, Mar 8, 2021 at 9:25 AM Alex Braat wrote: >> > >> > Hello, >> > >> > I have encountered some strange behavior when I evaluate multivariate >> > polynomials over the integers modulo n. For instance, >> > >> > In: >> > p = 3 >> > S = Integers(p^2) >> > R. = PolynomialRing(S) >> > f = x^2 * y^2 >> > print(f([S(p),S(1)]), f([S(1), S(p)])) >> > >> > Out: >> > 1 0 >> > >> > while both evaluations should ofcourse be equal to 0. This does not depend >> > on the prime p, and is consistent in both of these versions of SageMath: >> >> looks like a bug (also in the 9.3.beta7) >> sage: f(S(3),S(1)) >> 1 >> >> >> > >> > 'SageMath version 8.7, Release Date: 2019-03-23' >> > 'SageMath version 9.2, Release Date: 2020-10-24' >> > >> > Am I doing something wrong or is this a bug? >> > >> > -- >> > 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...@googlegroups.com. >> > To view this discussion on the web visit >> > https://groups.google.com/d/msgid/sage-support/e3b67e84-1d8b-46e4-b0dd-5558f6d4929bn%40googlegroups.com. > > -- > 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 on the web visit > https://groups.google.com/d/msgid/sage-support/c860111e-aeea-43ff-b6c5-5c392e590789n%40googlegroups.com. -- 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 on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq0aFG%3Drtp%3DffKQc1T3ykWAXE0niAV0oQ2SQif9cRzU3Yg%40mail.gmail.com.
Re: [sage-support] Strange behavior when evaluating multivariate polynomials over integers modulo n
Small update: Replacing Integers(p^2) by QuotientRing(ZZ, p^2) seems to fix the issue. Op maandag 8 maart 2021 om 10:34:06 UTC+1 schreef dim...@gmail.com: > On Mon, Mar 8, 2021 at 9:25 AM Alex Braat wrote: > > > > Hello, > > > > I have encountered some strange behavior when I evaluate multivariate > polynomials over the integers modulo n. For instance, > > > > In: > > p = 3 > > S = Integers(p^2) > > R. = PolynomialRing(S) > > f = x^2 * y^2 > > print(f([S(p),S(1)]), f([S(1), S(p)])) > > > > Out: > > 1 0 > > > > while both evaluations should ofcourse be equal to 0. This does not > depend on the prime p, and is consistent in both of these versions of > SageMath: > > looks like a bug (also in the 9.3.beta7) > sage: f(S(3),S(1)) > 1 > > > > > > 'SageMath version 8.7, Release Date: 2019-03-23' > > 'SageMath version 9.2, Release Date: 2020-10-24' > > > > Am I doing something wrong or is this a bug? > > > > -- > > 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...@googlegroups.com. > > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/e3b67e84-1d8b-46e4-b0dd-5558f6d4929bn%40googlegroups.com > . > -- 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 on the web visit https://groups.google.com/d/msgid/sage-support/c860111e-aeea-43ff-b6c5-5c392e590789n%40googlegroups.com.
Re: [sage-support] Strange behavior when evaluating multivariate polynomials over integers modulo n
On Mon, Mar 8, 2021 at 9:25 AM Alex Braat wrote: > > Hello, > > I have encountered some strange behavior when I evaluate multivariate > polynomials over the integers modulo n. For instance, > > In: > p = 3 > S = Integers(p^2) > R. = PolynomialRing(S) > f = x^2 * y^2 > print(f([S(p),S(1)]), f([S(1), S(p)])) > > Out: > 1 0 > > while both evaluations should ofcourse be equal to 0. This does not depend on > the prime p, and is consistent in both of these versions of SageMath: looks like a bug (also in the 9.3.beta7) sage: f(S(3),S(1)) 1 > > 'SageMath version 8.7, Release Date: 2019-03-23' > 'SageMath version 9.2, Release Date: 2020-10-24' > > Am I doing something wrong or is this a bug? > > -- > 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 on the web visit > https://groups.google.com/d/msgid/sage-support/e3b67e84-1d8b-46e4-b0dd-5558f6d4929bn%40googlegroups.com. -- 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 on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq3W2Y47dMdY_zJSDcL_2_5aw%3DTnqqqnOrt9WGCNcwKcDQ%40mail.gmail.com.
[sage-support] Strange behavior when evaluating multivariate polynomials over integers modulo n
Hello, I have encountered some strange behavior when I evaluate multivariate polynomials over the integers modulo n. For instance, In: p = 3 S = Integers(p^2) R. = PolynomialRing(S) f = x^2 * y^2 print(f([S(p),S(1)]), f([S(1), S(p)])) Out: 1 0 while both evaluations should ofcourse be equal to 0. This does not depend on the prime p, and is consistent in both of these versions of SageMath: 'SageMath version 8.7, Release Date: 2019-03-23' 'SageMath version 9.2, Release Date: 2020-10-24' Am I doing something wrong or is this a bug? -- 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 on the web visit https://groups.google.com/d/msgid/sage-support/e3b67e84-1d8b-46e4-b0dd-5558f6d4929bn%40googlegroups.com.
