Polytope 2818
Image of polytope 2818 PALP id: 2818
grdb id: 355607
Integer points: [ 1 1 0 -2 0 -2 -2 -4 -1 -3 -2 -1 0 -3 -1 0 1]
[ 0 2 0 -2 1 -1 -1 -3 0 -2 -1 0 1 -2 -1 0 1]
[ 0 0 1 -1 1 -1 1 -1 1 0 0 0 0 -1 0 0 0]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
24 ? x*y2 + 2*x*y + y*z + x + 4*y + z + 2*x-1*z + 6*x-1 + 2*x-1*y-1 + x-2*y-1*z + 4*x-2*y-1 + x-2*y-1*z-1 + x-2*y-2*z-1 + 2*x-3*y-2 + 2*x-3*y-2*z-1 + x-4*y-3*z-1
75 ? x*y2 + 2*x*y + y*z + x + 4*y + z + 2*x-1*z + 6*x-1 + 3*x-1*y-1 + x-2*y-1*z + 4*x-2*y-1 + x-2*y-1*z-1 + x-2*y-2*z-1 + 2*x-3*y-2 + 2*x-3*y-2*z-1 + x-4*y-3*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 2 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 140 1 Lattice Minkowski decompositions of facet 140
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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