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D.7.1.1 degreepart

Procedure from library presolve.lib (see presolve_lib).

Usage:

degreepart(id,d1,d2[,v]); id=ideal/module, d1,d1=integers, v=intvec

Return:

generators of id of [v-weighted] total degree >= d1 and <= d2 (default: v = 1,...,1)

Example:

 
LIB "presolve.lib";
ring r=0,(x,y,z),dp;
ideal i=1+x+x2+x3+x4,3,xz+y3+z8;
degreepart(i,0,4);
→ _[1]=x4+x3+x2+x+1
→ _[2]=3
module m=[x,y,z],x*[x3,y2,z],[1,x2,z3,0,1];
intvec v=2,3,6;
show(degreepart(m,8,8,v));
→ // module, 1 generator(s)
→ [x4,xy2,xz]

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