On Tue, May 12, 2020 at 9:38 AM James <jbub...@gmail.com> wrote: > > Hi > > I've recently started using SageMath as part my Masters Research into > Mutually Unbiased Bases. I'm able to generate these Basis using finite fields > traces and complex roots of unity, but I am running into efficiency issue. I > would like to do some exact calculations(mostly matrix multiplication), with > these Bases/Matrices that I am generating, but the calculations are taking a > long time for even small orders, I would like to at the very least work with > matrices 25*25. Now I understand that long computation time is expected with > exact calculations but I am wondering if I have implemented the construction > poorly?
Instead of using SR (Symbolic Ring) you can use something much more efficient, e.g. cyclotomics. sage: N=5 sage: T=CyclotomicField(N) sage: sqrt(T(N)) 2*zeta5^3 + 2*zeta5^2 + 1 sage: type(sqrt(T(N))) <class 'sage.rings.number_field.number_field_element.NumberFieldElement_absolute'> (or, perhaps, quadratic extension of QQ by sqrt(N) is what you need, not sure what kind of extra ops you want to do with your N) HTH Dima > > I've seen sage has some inbuilt parallel computing ability but am unsure what > if anything is natively parallel in sage and what I would need to do myself. > I did try searching the docs to find out what might be natively parallel > but couldn't find anything. I am considering looking into HPC/parallel/AWS as > solutions to help me calculate slightly larger orders but not sure how viable > and easy this would be? > > I'd also like to be able to simplify the complex number entries in my > matrices into polar form both for readability in the output and I thought it > may improve efficiency in the calculations? > > I've attached the Notebook I am working in which I have hopefully well > commented enough to understand. > > I would appreciate any feedback people would have for a Sage newbie. > > -- > 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/5eb142c5-6645-4bed-a138-064b7d8a6b59%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/CAAWYfq0yF0JL1BL7%3DWSMfXA4hKfV65dzOc%3DdmNgWRdLXz3eLTg%40mail.gmail.com.
