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D.4.36.1 genSymId

Procedure from library symodstd.lib (see symodstd_lib).

Usage:
genSymId(I,sigma); I ideal, sigma intvec

Assume:
size(sigma) = nvars(basering =: n

Return:
ideal J such that sigma(J) = J and J includes I

Note:
sigma is a permutation of the variables of the basering, i.e.
sigma: var(i) ----> var(sigma[i]), 1 <= i <= n.

Example:
 
LIB "symodstd.lib";
ring R = 0,(u,v,w,x,y),dp;
intvec pi = 2,3,4,5,1;
ideal I = u2v + x3y - w2;
genSymId(I,pi);
==> _[1]=x3y+u2v-w2
==> _[2]=uy3+v2w-x2
==> _[3]=u3v+w2x-y2
==> _[4]=v3w+x2y-u2
==> _[5]=w3x+uy2-v2