Polytope 2719
Image of polytope 2719 PALP id: 2719
grdb id: 529908
Integer points: [ 1 0 0 -3 -3 -1 -3 -2 -2 -2 -1 -1 0 -1 -1 0 0]
[ 0 1 1 -2 -2 0 -2 -1 -1 -1 0 0 1 -1 -1 0 0]
[ 0 0 2 -2 0 2 -1 1 0 -1 1 0 1 0 -1 1 0]
Degree: 26
Hilbert function: 1 + 16 t + 70 t2 + 189 t3 + 399 t4 + 726 t5 + 1196 t6 + 1835 t7 + 2669 t8 + 3724 t9 + 5026 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
68 rank 3, number 9 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 2*x-1*z + x-1 + 2*x-1*y-1 + 2*x-2*y-1*z + 2*x-1*y-1*z-1 + 4*x-2*y-1 + 2*x-2*y-1*z-1 + x-3*y-2 + 2*x-3*y-2*z-1 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 175 1 Lattice Minkowski decompositions of facet 175
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