| #### D.6.3.7 arnoldDeterminacy Procedure from library `arnoldclassify.lib` (see arnoldclassify_lib). Usage: arnoldDeterminacy( I[, m]); I poly or ideal, m int. Assume: the basering is local, I is the Jacobian ideal of a polynomial f with isolated critical point at 0, m is the Milnor number of f Compute: determinacy bound k for f w.r.t. right equivalence Return: integer k s.th. f is right-k-determined, -1 for infinity Note: uses [Cor. A.9.7,GP12] Example:
    LIB "arnoldclassify.lib";
    ring r=0,(x,y),ds;
    poly f=x3+xy3;
    ideal I=std(jacob(f));
    int k=arnoldDeterminacy(I);
    print(k);
    ==> 5

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