Polytope 2896
Image of polytope 2896 PALP id: 2896
grdb id: 186640
Integer points: [ 1 0 0 0 -1 1 0 -2 -2 -1 0 -1 0 -1 1 0 -1]
[ 0 1 0 1 1 -2 -1 1 1 0 -1 0 0 1 -1 0 1]
[ 0 0 1 -1 1 0 -1 0 -1 -1 0 0 -1 -1 0 0 0]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
20 rank 1, V16 x + y + z + x-1*y*z + y*z-1 + 2*x*y-1 + 2*x-1*y + 2*z-1 + 2*x-1*y*z-1 + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + y-1*z-1 + 2*x-1*z-1 + x-2*y*z-1
40 rank 2, number 10 x + y + z + x-1*y*z + y*z-1 + 2*x*y-1 + 3*x-1*y + 2*z-1 + 2*x-1*y*z-1 + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + y-1*z-1 + 2*x-1*z-1 + x-2*y*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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