Practical details Store and remember the nonsingular equation in y obtained at the end of the recursion ⇝ Black box able to give expansions with arbitrary t-adic accuracy. read("Algcurves.gp"); B=Branches0(y^3+2*x^3*y-x^7,t,a)[2][1]; BranchExpand(B,10) BranchExpand(B,100) Nicolas Mascot Algebraic curves