Polytope 4311

	PALP id:	4311
	grdb id:	547390
	Integer points:	[ 1 1 1 -3 -2 -1 0 -2 -1 0 1 -1 0 1 0 1 -2 -1 0 1 -1 0 1 0 1 1 -1 0 1 0 1 1 0 1 1] [ 0 4 0 -4 -3 -2 -1 -2 -1 0 1 0 1 2 2 3 -3 -2 -1 0 -1 0 1 1 2 3 -2 -1 0 0 1 2 -1 0 1] [ 0 0 4 -4 -2 0 2 -3 -1 1 3 -2 0 2 -1 1 -3 -1 1 3 -2 0 2 -1 1 0 -2 0 2 -1 1 0 -1 1 0]
	Degree:	4
	Hilbert function:	1 + 5 t + 15 t2 + 35 t3 + 69 t4 + 121 t5 + 195 t6 + 295 t7 + 425 t8 + 589 t9 + 791 t10 + ...
	Polynomials:	Period sequence Fano variety Laurent polynomial 15 rank 1, V4 x*y4 + 4*x*y3*z + 6*x*y2*z2 + 4*x*y*z3 + x*z4 + 4*x*y3 + 12*x*y2*z + 12*x*y*z2 + 4*x*z3 + 6*x*y2 + 12*x*y*z + 6*x*z2 + 4*x*y + 4*x*z + 4*y2*z-1 + x + 12*y + 12*z + 4*y-1*z2 + 12*y*z-1 + 12*y-1*z + 12*z-1 + 12*y-1 + 4*y-1*z-1 + 6*x-1*z-2 + 12*x-1*y-1*z-1 + 6*x-1*y-2 + 12*x-1*y-1*z-2 + 12*x-1*y-2*z-1 + 6*x-1*y-2*z-2 + 4*x-2*y-2*z-3 + 4*x-2*y-3*z-2 + 4*x-2*y-3*z-3 + x-3*y-4*z-4
	Facets:	Facet Multiplicity Admissible lattice Minkowksi decompositions 4

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