Revision history [back]

Depending on what you want to do, you can maybe also consider using the constructor TateAlgebra (it is not exactly the same than power series but much effort is done to handle precision correctly):

sage: K.<u> = Qq(3^2)
sage: L.<pi> = K.extension(x^2 - 3)
sage: L                                                                         
3-adic Eisenstein Extension Field in pi defined by x^2 - 3 over its base field
sage: A.<x> = TateAlgebra(L)
sage: (1 - pi*x).inverse_of_unit()
(1 + O(pi^40)) + (pi + O(pi^40))*x + ... + O(pi^40 * <x>)