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D.4.18.3 NPos

Procedure from library noether.lib (see noether_lib).

Usage:
NPos(i); i ideal

Return:
A linear map phi such that phi(i) is in Noether position

Example:
 
LIB "noether.lib";
ring r=0,(X,Y,a,b),dp;
poly f=X^8+a*Y^4-Y;
poly g=Y^8+b*X^4-X;
poly h=diff(f,X)*diff(g,Y)-diff(f,Y)*diff(g,X);
ideal i=f,g,h;
NPos(i);
==> The dimension of the ideal is:
==> 1
==> _[1]=X
==> _[2]=Y
==> _[3]=a
==> _[4]=53X+27Y-75a+b and the time of this computation is: 499 /10 sec.