==================================================================== Groebner ==================================================================== Example to call groebner: :: s1:DMP[w,p,z,t,s,b]RN:= 45*p + 35*s - 165*b - 36 s2:DMP[w,p,z,t,s,b]RN:= 35*p + 40*z + 25*t - 27*s s3:DMP[w,p,z,t,s,b]RN:= 15*w + 25*p*s + 30*z - 18*t - 165*b**2 s4:DMP[w,p,z,t,s,b]RN:= -9*w + 15*p*t + 20*z*s s5:DMP[w,p,z,t,s,b]RN:= w*p + 2*z*t - 11*b**3 s6:DMP[w,p,z,t,s,b]RN:= 99*w - 11*b*s + 3*b**2 s7:DMP[w,p,z,t,s,b]RN:= b**2 + 33/50*b + 2673/10000 sn7:=[s1,s2,s3,s4,s5,s6,s7] groebner(sn7,info) groebner calculates a minimal Groebner Basis all reductions are TOTAL reductions To get the reduced critical pairs do: :: groebner(sn7,"redcrit") You can get other information by calling: :: groebner(sn7,"info") which returns: :: ci => Leading monomial for critpair calculation tci => Number of terms of polynomial i cj => Leading monomial for critpair calculation tcj => Number of terms of polynomial j c => Leading monomial of critpair polynomial tc => Number of terms of critpair polynomial rc => Leading monomial of redcritpair polynomial trc => Number of terms of redcritpair polynomial tF => Number of polynomials in reduction list F tD => Number of critpairs still to do See Also: * )display operations groebner * )show GroebnerPackage * )show DistributedMultivariatePolynomial * )show HomogeneousDistributedMultivariatePolynomial * )show EuclideanGroebnerBasisPackage