Hi,
I spent most of the last week at a Macaulay2 workshop, and actually
playing with M2<->Sage interface :-)
here you are:
On Friday, May 27, 2016 at 6:34:35 PM UTC+1, Christian Stump wrote:
>
> > YES.
>
> thanks, that's the first step -- I did actually mean so that I get the
> output as Sage objects. Sorry for not saying that explicitly...
>
sage: macaulay2.eval("""
....: loadPackage "Points";
....: M = matrix{{1,2,3},{4,5,6}};
....: R = QQ[x,y,MonomialOrder=>Lex];
....: (Q,inG,G) = points(M,R)
....: """)
sage: M=macaulay2('M').to_sage(); M
[1 2 3]
[4 5 6]
sage: type(M)
<type 'sage.matrix.matrix_integer_dense.Matrix_integer_dense'>
sage: R=macaulay2('R').to_sage(); R
Multivariate Polynomial Ring in x, y over Rational Field
sage: type(R)
<type
'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomialRing_libsingular'>
sage: Q=macaulay2('Q').to_sage(); Q
[1, y, y^2]
sage: type(Q)
<type 'list'>
sage: type(Q[1])
<type
'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular'>
sage: inG=macaulay2('inG').to_sage(); inG
Ideal (y^3, x) of Multivariate Polynomial Ring in x, y over Rational Field
sage: G=macaulay2('G').to_sage(); G
[y^3 - 15*y^2 + 74*y - 120, x - y + 3]
HTH,
Dima
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