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2017-11-06 12:50:21 +0200 asked a question how to make an Macaulay matrix from polynoms over GF(2)

I have a PolynomialRing(GF(2),'x1,x2,x3') and over it two polynomials x1*x2 + x1*x3 + x1, x1+x2+1 and I would like to rewrite it in Macaulay matrix in order x1x1, x1x2, x2x2, x1x3, x2x3, x3x3,x1,x2,x3, absolute term so it should be

0 1 0 1 0 0 1 0 0 0 
0 0 0 0 0 0 1 1 0 1

Is there something in sage ?