Polytope 2002
Image of polytope 2002 PALP id: 2002
grdb id: 533765
Integer points: [ 1 1 -1 -1 0 -3 -2 -1 -2 0 -1 0 -1 0 1]
[ 0 2 0 -2 0 -4 -3 -1 -2 -1 -2 0 -1 1 1]
[ 0 0 0 0 1 -2 -1 0 -1 0 -1 0 -1 0 0]
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
31 rank 3, number 3 x*y2 + 2*x*y + x + 2*y + z + 2*y-1 + x-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*x-2*y-2*z-1 + 2*x-2*y-3*z-1 + x-3*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 3 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
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