| #### D.6.3.5 arnoldClassify_to_string Procedure from library `arnoldclassify.lib` (see arnoldclassify_lib). Usage: arnoldClassify_to_string (f); f poly Assume: The basering is local of characteristic 0 and f defines an isolated singularity from Arnol'd's list of corank at most 2. Compute: singularity class with respect to right equivalence and invariants used in the process of classification Return: string: separated by |: - name of singularity series as listed by arnoldListAllSeries(), - name of singularity class, - parameters k,r,s defining the singularity class, -1 if not used, - modality, corank, Milnor number, determinacy, - Tjurina number, -2 if not computed, -1 if infinite, - Milnor code, -1 if not computed, - normal form of the singularity series from Arnol'd's list, - restrictions on parameters as string in SINGULAR syntax. Example:
    LIB "arnoldclassify.lib";
    ring r = 0,(x,y),ds;
    int k = random(3,10);
    poly g = x4 + x2*y^(2*k+1)+x*y^(3*k+1)+ y^(4*k +1);
    arnoldClassify_to_string(g);
    ==> (k>=1)&&(k>1||a==0)&&(deg(a)<=(k-2))&&
    ==>         (deg(c)<=(2*k-2))|x4+a(y)*x*y^(3*k+1)+c(y)*x^2*y^(2*k+1)+y^(4*k+1\
       )|1,1,10,9,9|-2|29|60|2|13|-1|-1|W[60]|W[12k]

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