Polytope 2876
Image of polytope 2876 PALP id: 2876
grdb id: 350427
Integer points: [ 1 0 0 0 -1 -3 -3 -5 -2 -3 -4 -1 -2 -1 -2 0 -1]
[ 0 1 0 -1 -1 0 -1 -1 -1 -1 -1 0 0 -1 -1 0 0]
[ 0 0 1 1 1 -2 -2 -3 0 -1 -2 0 -1 0 -1 0 -1]
Degree: 28
Hilbert function: 1 + 17 t + 75 t2 + 203 t3 + 429 t4 + 781 t5 + 1287 t6 + 1975 t7 + 2873 t8 + 4009 t9 + 5411 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
107 rank 3, number 11 x + y + z + y-1*z + 3*x-1 + x-1*y-1*z + 2*x-1*z-1 + 3*x-1*y-1 + 3*x-2*z-1 + 4*x-2*y-1 + 3*x-2*y-1*z-1 + x-3*z-2 + 6*x-3*y-1*z-1 + x-3*y-1*z-2 + 4*x-4*y-1*z-2 + x-5*y-1*z-3
144 rank 3, number 12 x + y + z + y-1*z + 4*x-1 + x-1*y-1*z + 2*x-1*z-1 + 3*x-1*y-1 + 4*x-2*z-1 + 4*x-2*y-1 + 3*x-2*y-1*z-1 + x-3*z-2 + 6*x-3*y-1*z-1 + x-3*y-1*z-2 + 4*x-4*y-1*z-2 + x-5*y-1*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 9 1 irreducible and admissible
Image of facet 90 1 Lattice Minkowski decompositions of facet 90
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 93 1 Lattice Minkowski decompositions of facet 93
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