> <\body> <\session|macaulay2|default> <\output> Macaulay 2, version 0.9 --Copyright 1993-2001, D. R. Grayson and M. E. Stillman --Singular-Factory 1.3b, copyright 1993-2001, G.-M. Greuel, et al. --Singular-Libfac 0.3.2, copyright 1996-2001, M. Messollen \ Macaulay 2 starting up\ \; <\input|macaulay2] > KK = ZZ/31991 <\input|macaulay2] > R = KK[x,y,z,w] <\input|macaulay2] > I = ideal(x^2*y,x*y^2+x^3) <\input|macaulay2] > J = gens gb I <\input|macaulay2] > R = KK[a..d] <\input|macaulay2] > I = monomialCurveIdeal(R,{1,3,4}) <\input|macaulay2] > codim I <\input|macaulay2] > dim I <\input|macaulay2] > codim (R^1/(I*R^1)) <\input|macaulay2] > M = coker gens I <\input|macaulay2] > codim M <\input|macaulay2] > dim M <\input|macaulay2] > degree I <\input|macaulay2] > degree M <\input|macaulay2] > hilbertPolynomial M <\input|macaulay2] > hilbertSeries M <\input|macaulay2] > Mres = res M <\input|macaulay2] > betti Mres <\input|macaulay2] > \; \; <\initial> <\collection>