Dear Sage Supporters, As nobody continued to pay attention to the question I asked in sept 3 about how I want to change the field basis "permanently", I am using john Cremona's idea to ask my question in another way, in hope to attract more attention:
Suppose k is a field. Let define ring k[x]. I extend this ring by adding variable 't' and taking quotient by polynomial 't^4 + t^3 + t^2 + t + 1'. So, I have the ring k[x][t]/(t^4 + t^3 + t^2 + t + 1) which is a free module over k[x]. But again sage use default basis (1, t, t^2, t^3) to represent this ring over k[x]: sage: k = GF(2); sage: R = k['x']; x = R.gen() sage: S = R['t']; t = S.gen() sage: SBar = S.quotient(t^4 + t^3 + t^2 + t + 1, 'a'); a = SBar.gen() sage: print x*a^4 x*a^3 + x*a^2 + x*a + x How can I change this basis to normal basis, so I get: sage: print x*a^4 x*a^4 Thank you very much for your attention. Ahmad --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://sage.math.washington.edu/sage/ and http://sage.scipy.org/sage/ -~----------~----~----~----~------~----~------~--~---
