Polytope 3180
Image of polytope 3180 PALP id: 3180
grdb id: 332292
Integer points: [ 1 0 -1 0 -2 -1 -3 -3 -2 -3 -2 -1 -2 -1 -1 0 -1 0]
[ 0 1 1 0 0 -2 -2 -4 -3 -3 -2 -1 -1 0 -2 -1 -1 0]
[ 0 0 0 1 -1 0 -2 -2 -1 -2 -1 0 -1 0 -1 0 -1 0]
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
8 ? x + y + z + x-1*y + 2*y-1 + 2*x-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + x-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 3*x-2*y-1*z-1 + 3*x-2*y-2*z-1 + 2*x-2*y-3*z-1 + x-3*y-2*z-2 + 2*x-3*y-3*z-2 + x-3*y-4*z-2
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 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 189 1 Lattice Minkowski decompositions of facet 189
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
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