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schenck-book-5.m2
S = QQ[x,y] assert( (A = coker matrix{{x^3,y^3}}) === cokernel map(S^1,S^{{-3},{-3}},{{x^3, y^3}}) ) assert( (hilbertFunction(-5,Ext^2(A,S))) === 2 ) end print generateAssertions /// S = QQ[x,y] A = coker matrix{{x^3,y^3}} hilbertFunction(-5,Ext^2(A,S)) ///