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#
# jython examples for jas.
# $Id: eliminate.py 2507 2009-03-26 22:03:45Z kredel $
#
import sys;
from jas import Ring
from jas import Ideal
from jas import startLog
from jas import terminate
# ideal elimination example
r = Ring( "Rat(x,y,z) G" );
print "Ring: " + str(r);
print;
ps1 = """
(
( x^2 - 2 ),
( y^2 - 3 ),
( z^3 - x * y )
)
""";
F1 = r.ideal( ps1 );
print "Ideal: " + str(F1);
print;
e = Ring( "Rat(z) G" );
print "Ring: " + str(e);
print;
#startLog();
rg1 = F1.eliminateRing(e);
print "rg1 = ", rg1;
print;
rg2 = rg1.intersectRing(e);
print "rg2 = ", rg2;
print;
terminate();
#sys.exit();
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