Singular Manual: allsquarefree

| #### D.6.11.19 allsquarefree Procedure from library `hnoether.lib` (see hnoether_lib). Usage : allsquarefree(f,g); f,g poly Assume: g is the output of `squarefree(f)`. Return: the greatest squarefree divisor of f. Note : This proc uses factorize to get the missing factors of f not in g and, therefore, may be slow. Example:
    LIB "hnoether.lib";
    ring exring=7,(x,y),dp;
    poly f=(x+y)^7*(x-y)^8;
    poly g=squarefree(f);
    g;                      // factor x+y lost, since characteristic=7
    ==> x-y
    allsquarefree(f,g);     // all factors (x+y)*(x-y) found
    ==> x2-y2
See also: squarefree.

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