Hi, Look at this.
sage: tord = TermOrder(matrix([3,2,4,1,1,0,1,0,0])) sage: S.<t>=PolynomialRing(QQ) sage: R.<x,y,z> = PolynomialRing(S,'x',3,order=tord) sage: (x^2).degree() 2 So the behavior is not consistent among different backend engines, namely, Singular and PolyDict. I think degree() should return the total degree, not the weighted degree, as the current docstring says. So the current behavior with Singular engine should be considered as a bug. I think there should be a separate method like weighted_degree() that return the proper weighted degree, and for that, there should be a mechanism to set weights of the variables. I am not sure whether it is always desirable that the weighted term order determines the weights of the variables. I think in principle they can be independent. -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org