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D.6.2.2 removepower

Procedure from library arcpoint.lib (see arcpoint_lib).

Usage:
removepower(I); I ideal

Return:
ideal defining the same zeroset as I: if any generator of I is a power of one single variable, replace it by the respective variable

Example:
 
LIB "arcpoint.lib";
ring r=0,(x,y,z),dp;
ideal I = x3,y+z2-x2;
I;
==> I[1]=x3
==> I[2]=-x2+z2+y
removepower(I);
==> _[1]=x
==> _[2]=-x2+z2+y
See also: idealsimplify.