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 | 1 | initial version |
You can simply use list comprehension:
Setting;
sage: R = PolynomialRing(QQ,3,'x',order='degrevlex') ; R
Multivariate Polynomial Ring in x0, x1, x2 over Rational Field
sage: R.inject_variables()
Defining x0, x1, x2
sage: I = R.ideal([x0*x1-x2^2,x1*x2]) ; I
Ideal (x0*x1 - x2^2, x1*x2) of Multivariate Polynomial Ring in x0, x1, x2 over Rational Field
sage: G = I.groebner_basis() ; G
[x2^3, x0*x1 - x2^2, x1*x2]
Then:
sage: [P.total_degree() for P in G]
[3, 2, 2]
| | 2 | No.2 Revision |
You can simply use list comprehension:
Setting;Setting example:
sage: R = PolynomialRing(QQ,3,'x',order='degrevlex') ; R
Multivariate Polynomial Ring in x0, x1, x2 over Rational Field
sage: R.inject_variables()
Defining x0, x1, x2
sage: I = R.ideal([x0*x1-x2^2,x1*x2]) ; I
Ideal (x0*x1 - x2^2, x1*x2) of Multivariate Polynomial Ring in x0, x1, x2 over Rational Field
sage: G = I.groebner_basis() ; G
[x2^3, x0*x1 - x2^2, x1*x2]
Then:
sage: [P.total_degree() for P in G]
[3, 2, 2]
