Polytope 3080
Image of polytope 3080 PALP id: 3080
grdb id: 465994
Integer points: [ 1 0 0 -2 1 -1 -3 0 -2 -1 0 -2 -1 0 1 -1 0 -1]
[ 0 1 0 1 -2 -2 0 -2 -1 -1 -1 0 0 -1 -1 0 0 1]
[ 0 0 1 -2 2 0 -2 1 -1 0 1 -1 0 0 1 -1 0 -1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
23 ? x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*y-1*z + 2*x-1*y*z-1 + 2*y-1 + 3*x-1 + 2*y-2*z + 2*x-1*z-1 + 4*x-1*y-1 + x-2*y*z-2 + 3*x-2*z-1 + x-1*y-2 + 2*x-2*y-1*z-1 + x-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 1 irreducible and admissible
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 78 1 Lattice Minkowski decompositions of facet 78
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