Singular Manual: normalFormEquationUpToRescaling

| #### D.15.1.21 normalFormEquationUpToRescaling Procedure from library `arnold.lib` (see arnold_lib). Usage: normalFormEquationUpToRescaling(N); N NormalForm of which the field N.normalFormEquation is filled using @ref(determineNormalForm) and using @ref(determineNormalFormEquation) Return: N.normalFormEquationUpToRescaling, a Poly which is right-equivalent to N.normalFormEquation, by the transformation x-->ax, y-->by, a,b complex numbers, such that its ring is minimal Example:
    LIB "arnold.lib";
    ring R=0,(x,y),ds;
    poly g = x^4+2*x^2*y^2+y^4+x^(10)+y^(10);
    poly phix = x+y^2+x^2+x*y+x^2*y+x*y^3;
    poly phiy = y+y^2+2*x^2+x*y+y*x^2+y^2*x+x*y^4;
    map phi = R,phix,phiy;
    g=phi(g);
    Poly F = makePoly(g);
    NormalForm N;
    N = determineNormalForm(F);
    N = determineNormalFormEquation(N);
    normalFormEquationUpToRescaling(N);
    ==> x^2*y^2-5/256*x^9*y+5/256*x*y^9+x^34+y^34
    ==>

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