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D.12.5.6 spoly

Procedure from library teachstd.lib (see teachstd_lib).

Usage:
spoly(f,g[,s]); f,g poly or vector, s int

Return:
the s-polynomial of f and g, of type poly or vector
if s!=0 the symmetric s-polynomial (without division) is returned

Example:
 
LIB "teachstd.lib";
ring r=0,(x,y,z),ls;
spoly(2x2+x2y,3y3+xyz);
==> x2y4-2/3x3yz
ring s=0,(x,y,z),(c,dp);
spoly(2x2+x2y,3y3+xyz);
==> -1/3x3yz+2x2y2
spoly(2x2+x2y,3y3+xyz,1);             //symmetric s-poly without division
==> -x3yz+6x2y2
spoly([5x2+x2y,z5],[x2,y3,y4]);       //s-poly for vectors
==> [5x2,z5-y4,-y5]