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`desing/singw`

Computing the singular locus of a WBO. The difference between this procedure and `desing/sing` is that in case of a WBO the monomial parts are also to be considered in the singular locus computation. This leads to a combinatorial approach which determines the singular locus of the WBO as union of intersections of hypersurfaces that correspond to partial derivatives up to a certain order, from the proper and the monomial part of the ideal of the WBO.

Input:
 
J, N, E, a, c, C, S, IND, DEP, PDER
the corresponding members of a WBO and its chart (see section *, and *).
Output:
a list of polynomials generating the ideal of the singular locus of the WBO.
The output also contains the polynomials indicated by N.
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