File: idealtester

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singular 1%3A4.1.1-p2%2Bds-4
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ring r=0,(x,y,z),lp;
timer=1;
LIB("python_module.so");
Python_module::python("from Singular import Number,  Polynomial, Ideal, gen, Module
i=Ideal()
zero=Number(0)
one=Number(1)
zerop=Polynomial(0)
i.append(zerop)
print len(i)
onep=Polynomial(1)
i.append(onep)
print len(i)
for p in i:
  print p
print i
xy=Polynomial('xy')
print xy
comp=Polynomial('xy+1')
print comp
#the same as only monomials are build

z=Polynomial(xy);
z*=Number(3);
print z,xy
print xy+Number(1)
print z+xy
print z,xy
print xy*xy
print xy
for t in ((xy+Number(1))*(xy+Number(-1))):
  print t,-t,t
import util
r=util.create_ring(char=0,nvars=3, varNames=['t','u','v','w'], ordering='lp', register=locals())
r.set()
m=Module()
m.append(t*u*gen(1)+v*gen(2))
m.append(w*gen(4))
m.append(v*u*gen(3))
print m
print m[1:]
del m[1]
print m
");
$