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schenck-book-6.m2
S = QQ[x,y,z] assert( (OM = ker matrix{{x,y,z}}) === image map(S^{{-1},{-1},{-1}},S^{{-2},{-2},{-2}},{{-y, 0, -z}, {x, -z, 0}, {0, y, x}}) ) F = res OM F.dd assert( (F.dd_1) === map(S^{{-2},{-2},{-2}},S^{{-3}},{{z}, {x}, {-y}}) ) end print generateAssertions /// S = QQ[x,y,z] OM = ker matrix{{x,y,z}} F = res OM F.dd F.dd_1 ///