On Sun, Aug 30, 2020 at 5:50 AM Surendran Karippadath <kksinfin...@gmail.com> wrote: > I evaluated the j-invariant in Pari/gp In SageMathCell > ? \p 50 > ? ellj(sqrt(163.0)*I) > %1 = 68925893036109279891085639286944512.000000000163739
Sage has this function too (it calls Pari, so that's not an independent confirmation that this number is (not) an integer: sage: elliptic_j(sqrt(163)*I,prec=500) 6.89258930361092798910856392869445120000000001637386442092346075751855217523117650690239250072955532985645916831850173541132959651401661828116253839333e34 The output in Pari is a bit easier to read: ? \p 500 ? ellj(sqrt(163)*I) %4 = 68925893036109279891085639286944512.00000000016373864420923460757518552[...] Is it one of these "almost integers" (unless it's a bug, and this number must be an integer, I don't know - number theorists, please step forward!), such as ? \p 500 ? exp(sqrt(163)*Pi) %3 = 262537412640768743.99999999999925007259719818568887935385633733699086270[...] Or a bug in Pari/GP ? > > Furthermore the Cube-root of the j-invariant I obtained > ? (ellj(sqrt(163.0)*I))^(1/3) > %2 = 410009702400.00077461269365317226812447191214259043 the closest integer to (ellj(sqrt(163.0)*I))^(1/3) is 410009702400, and so you can check that its cube is quite far from ellj(sqrt(163)*I) > > Is it possible to check in Sage with High Precision if the values are > Integers. > > Thanking you in advance > > -- > 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/CAGp5ChV21gzwieMCGvywDMxETh3ZUOuOpHaSGUbPNhNHvbVOpg%40mail.gmail.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/CAAWYfq0wmVYqSc3uJmTNJWQ9pYKQcM62O_wFCbZJ5W2f06bzwQ%40mail.gmail.com.
