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We develop an iterative method to calculate the roots of arbitrarypolynomials over the field of Puiseux series including non-separable ones. Themethod works by transforming the polynomial and its roots into a special formand then extracting a new, univariate polynomial that contains informationabout our roots. We also provide a working implementation of the algorithm inPython.

Solving non-separable polynomials over the field of Puiseux series via golden lifting