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D.12.7.10 verify

Procedure from library rootsmr.lib (see rootsmr_lib).

Usage:
verify(p,B,I); p poly, B,I,ideal

Return:
integer: 1 if and only if the polynomial p splits the points of V(I). It's used to check the result of randcharpoly

Assume:
I is given by a Groebner basis and B is an ordered monomial basis of r/I, r = basering

Note:
comments the result if printlevel>0 (default: printlevel=0)

Example:
 
LIB "rootsmr.lib";
ring r = 0,(x,y),dp;
poly f = x3-xy+y-13+x4-y2x;
ideal i = x4-y2x,y2-13;
i = std(i);
ideal b = qbase(i);
poly p = randcharpoly(b,i);
verify(p,b,i);
==> 1
See also: randcharpoly.