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 2024-02-01 05:51:18 +0200 received badge ● Notable Question (source) 2020-05-24 10:36:14 +0200 received badge ● Notable Question (source) 2020-05-23 12:41:50 +0200 received badge ● Popular Question (source) 2019-01-27 13:06:39 +0200 received badge ● Famous Question (source) 2017-07-31 21:46:47 +0200 received badge ● Popular Question (source) 2017-02-13 04:56:40 +0200 received badge ● Notable Question (source) 2017-02-13 04:56:40 +0200 received badge ● Popular Question (source) 2013-11-11 10:46:00 +0200 asked a question Maximal unramified extension of Qp Hello, is it possible to deal with the maximal unramified extension of Qp in Sage? If so, then please post a code example! Thanks! Bye Lars 2013-11-11 10:39:31 +0200 commented answer Roots of p-adic polynomials Thanks for your response! 2013-11-07 17:45:08 +0200 received badge ● Student (source) 2013-11-05 13:29:22 +0200 commented answer Roots of p-adic polynomials Thanks for your fast response. This is too bad. I took a look at this ticket and it looks promising. Unfortunately my knowledge of Python is not enough to help you. Is it even possible for me as a beginner in Python and Sage to implement Hensel lifting by myself or do I need deep knowledge of Python and Sage for this task? Is there an alternative to Sage which offers the function to compute p-adic roots of p-adic polynomials? Maybe KASH, Octave, Maple or Magma? Thanks again! Bye Lars 2013-11-05 13:06:00 +0200 answered a question Roots of p-adic polynomials Thanks for your fast response. This is too bad. I took a look at this ticket and it looks promising. Unfortunately my knowledge of Python is not enough to help you. Is it even possible for me as a beginner in Python and Sage to implement Hensel lifting by myself or do I need deep knowledge of Python and Sage for this task? Is there an alternative to Sage which offers the function to compute p-adic roots of p-adic polynomials? Maybe KASH, Octave, Maple or Magma? Thanks again! Bye Lars 2013-11-04 14:54:57 +0200 asked a question Roots of p-adic polynomials Hello again, I want to get the roots of a p-adic polynomial. I wrote the following code: p = 2 q = 4 K = Qp(p) L. = Qq(q) O_L = L. integer_ring() pi = L.uniformizer() q = L.residue_class_degree() f = X^q + pi*X f.roots()  This rises following error: NotImplementedError: root finding for this polynomial not implemented  I still use version 5.10 of Sage. The compile of the latest version 5.12 is ongoing. Do I miss something or is there no way to get the roots in this case? Will this be implemented in the future or does someone know a workaround? Thanks for your time again! Bye Lars 2013-11-04 14:39:39 +0200 answered a question p-adic power series Thanks! This solves my problem. 2013-11-04 14:38:51 +0200 received badge ● Supporter (source) 2013-11-03 05:23:41 +0200 asked a question p-adic power series Hello, I am new to Sage and I want to to do some math on p-adic power series. I want to define such a power series but I did not succeeded. The last line of the following code rises an exception: p = 2 q = 4 K = Qp(p) L. = Qq(q) O_L = L.integer_ring() R. = PowerSeriesRing(O_L) pi = L.uniformizer() q = L.residue_class_degree() f(X) = X^q + pi*X  TypeError: unsupported operand parent(s) for '*': '2-adic Field with capped relative precision 20' and 'Symbolic Ring' Can someone help me, please? Thanks for your time! Bye Lars