Polytope 3119
Image of polytope 3119 PALP id: 3119
grdb id: 465572
Integer points: [ 1 0 0 0 -3 -3 -5 -1 -2 -3 -4 -1 -2 0 -1 -2 0 -1]
[ 0 1 0 1 -2 -3 -4 0 -1 -2 -3 -1 -2 1 0 -1 0 -1]
[ 0 0 1 2 -2 -2 -3 1 0 -1 -2 0 -1 1 0 -1 0 -1]
Degree: 24
Hilbert function: 1 + 15 t + 65 t2 + 175 t3 + 369 t4 + 671 t5 + 1105 t6 + 1695 t7 + 2465 t8 + 3439 t9 + 4641 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
38 ? y*z2 + 2*y*z + x + y + z + 5*x-1*z + 5*x-1 + 3*x-1*y-1 + 2*x-1*y-1*z-1 + 10*x-2*y-1 + 4*x-2*y-1*z-1 + 3*x-2*y-2*z-1 + 10*x-3*y-2*z-1 + x-3*y-2*z-2 + x-3*y-3*z-2 + 5*x-4*y-3*z-2 + x-5*y-4*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 146 1 Lattice Minkowski decompositions of facet 146
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
Image of facet 9 1 irreducible and admissible
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
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