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D.8.3.7 hilbvec
Procedure from library presolve.lib (see presolve_lib).
- Usage:
- hilbvec(id[,c,o]); id=poly/ideal/vector/module/matrix, c,o=strings,
c=char, o=ordering used by hilb (default: c="32003", o="dp")
- Return:
- intvec of 1st Hilbert-series of id, computed in char c and ordering o
- Note:
- id must be homogeneous (i.e. all vars have weight 1)
Example:
| | LIB "presolve.lib";
ring s = 0,(e,f,x,y,z,t,u,v,w,a,b,c,d,H),dp;
ideal id = w2+f2-1, x2+t2+a2-1, y2+u2+b2-1, z2+v2+c2-1,
d2+e2-1, f4+2u, wa+tf, xy+tu+ab;
id = homog(id,H);
hilbvec(id);
==> 1,0,-7,0,20,0,-28,0,14,0,14,0,-28,0,20,0,-7,0,1,0
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