Polytope 3188

	PALP id:	3188
	grdb id:	332295
	Integer points:	[ 1 0 0 -1 -1 -3 -3 -5 -4 -4 -3 -2 -2 -1 -2 -1 -1 0] [ 0 1 0 1 -1 0 -2 -2 -2 -1 -1 -1 0 0 -1 -1 0 0] [ 0 0 1 -1 1 -2 0 -2 -1 -2 -1 0 -1 0 -1 0 -1 0]
	Degree:	30
	Hilbert function:	1 + 18 t + 80 t2 + 217 t3 + 459 t4 + 836 t5 + 1378 t6 + 2115 t7 + 3077 t8 + 4294 t9 + 5796 t10 + ...
	Polynomials:	Period sequence Fano variety Laurent polynomial 50 ? x + y + z + x-1*y*z-1 + 3*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 3*x-2*z-1 + 3*x-2*y-1 + 2*x-2*y-1*z-1 + x-3*z-2 + 4*x-3*y-1*z-1 + x-3*y-2 + 2*x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2 122 rank 4, number 3 x + y + z + x-1*y*z-1 + 4*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 5*x-2*z-1 + 4*x-2*y-1 + 2*x-2*y-1*z-1 + x-3*z-2 + 6*x-3*y-1*z-1 + x-3*y-2 + 2*x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2 16 ? x + y + z + x-1*y*z-1 + 3*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 4*x-2*z-1 + 4*x-2*y-1 + 2*x-2*y-1*z-1 + x-3*z-2 + 5*x-3*y-1*z-1 + x-3*y-2 + 2*x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2 122 rank 4, number 3 x + y + z + x-1*y*z-1 + 4*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 4*x-2*z-1 + 5*x-2*y-1 + 2*x-2*y-1*z-1 + x-3*z-2 + 6*x-3*y-1*z-1 + x-3*y-2 + 2*x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2
	Facets:	Facet Multiplicity Admissible lattice Minkowksi decompositions 3 irreducible and admissible 2 irreducible and admissible 1 2

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