The Hilbert Basis of the Cut Cone over the Complete Graph K6

Given a polyhedral cone C, generated by the integer vectors x1,⋯, xn, the set of integer vectors of C is an additive semi-group, whose minimal set of generators (for linear cobinations with coefficients in ℤ+) is called the Hilbert basis of C. Integer points of C which are not in the integer cone ℤ+(x1,⋯, xn) are called quasi-h points.