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D.8.2.14 idealSplit

Procedure from library presolve.lib (see presolve_lib).

Usage:
idealSplit(id,timeF,timeS); id ideal and optional
timeF, timeS integers to bound the time which can be used for factorization resp. standard basis computation

Return:
a list of ideals such that their intersection
has the same radical as id

Example:
 
LIB "presolve.lib";
ring r=32003,(b,s,t,u,v,w,x,y,z),dp;
ideal i=
bv+su,
bw+tu,
sw+tv,
by+sx,
bz+tx,
sz+ty,
uy+vx,
uz+wx,
vz+wy,
bvz;
idealSplit(i);
==> [1]:
==>    _[1]=x
==>    _[2]=u
==>    _[3]=t
==>    _[4]=s
==>    _[5]=b
==>    _[6]=wy+vz
==> [2]:
==>    _[1]=z
==>    _[2]=w
==>    _[3]=t
==>    _[4]=s
==>    _[5]=b
==>    _[6]=vx+uy
==> [3]:
==>    _[1]=z
==>    _[2]=x
==>    _[3]=w
==>    _[4]=u
==>    _[5]=t
==>    _[6]=b
==> [4]:
==>    _[1]=z
==>    _[2]=y
==>    _[3]=x
==>    _[4]=t
==>    _[5]=s
==>    _[6]=b
==> [5]:
==>    _[1]=z
==>    _[2]=y
==>    _[3]=x
==>    _[4]=u
==>    _[5]=b
==>    _[6]=tv+sw
==> [6]:
==>    _[1]=z
==>    _[2]=y
==>    _[3]=x
==>    _[4]=w
==>    _[5]=t
==>    _[6]=su+bv
==> [7]:
==>    _[1]=w
==>    _[2]=v
==>    _[3]=u
==>    _[4]=t
==>    _[5]=s
==>    _[6]=b
==> [8]:
==>    _[1]=x
==>    _[2]=w
==>    _[3]=v
==>    _[4]=u
==>    _[5]=b
==>    _[6]=ty+sz
==> [9]:
==>    _[1]=z
==>    _[2]=w
==>    _[3]=v
==>    _[4]=u
==>    _[5]=t
==>    _[6]=sx+by
==> [10]:
==>    _[1]=z
==>    _[2]=y
==>    _[3]=x
==>    _[4]=w
==>    _[5]=v
==>    _[6]=u
==> [11]:
==>    _[1]=y
==>    _[2]=v
==>    _[3]=t
==>    _[4]=s
==>    _[5]=b
==>    _[6]=wx+uz
==> [12]:
==>    _[1]=y
==>    _[2]=x
==>    _[3]=v
==>    _[4]=u
==>    _[5]=s
==>    _[6]=b
==> [13]:
==>    _[1]=z
==>    _[2]=y
==>    _[3]=x
==>    _[4]=v
==>    _[5]=s
==>    _[6]=tu+bw
==> [14]:
==>    _[1]=z
==>    _[2]=y
==>    _[3]=w
==>    _[4]=v
==>    _[5]=t
==>    _[6]=s
==> [15]:
==>    _[1]=y
==>    _[2]=w
==>    _[3]=v
==>    _[4]=u
==>    _[5]=s
==>    _[6]=tx+bz

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