Roots of p-adic polynomials
I want to get the roots of a p-adic polynomial. I wrote the following code:
p = 2 q = 4 K = Qp(p) L.<omega> = 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!