Polytope 2567
Image of polytope 2567 PALP id: 2567
grdb id: 205418
Integer points: [ 1 0 1 0 0 -1 -1 -2 -2 -1 -2 -1 0 -1 0 -1]
[ 0 1 -1 0 -2 1 -1 0 -2 0 -1 -1 -1 0 0 -2]
[ 0 0 0 1 -1 1 -1 1 -1 1 0 0 0 0 0 -1]
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
81 ? x + y + z + x-1*y*z + x*y-1 + 2*x-1*z + 4*y-1 + 3*x-1 + x-2*z + 5*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-2*y-1 + 2*x-1*y-2*z-1 + x-2*y-2*z-1
88 rank 4, number 13 x + y + z + x-1*y*z + x*y-1 + 2*x-1*z + 4*y-1 + 2*x-1 + x-2*z + 5*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-2*y-1 + 2*x-1*y-2*z-1 + x-2*y-2*z-1
88 rank 4, number 13 x + y + z + x-1*y*z + x*y-1 + 2*x-1*z + 3*y-1 + 3*x-1 + x-2*z + 4*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-2*y-1 + 2*x-1*y-2*z-1 + x-2*y-2*z-1
67 rank 3, number 10 x + y + z + x-1*y*z + x*y-1 + 2*x-1*z + 3*y-1 + 2*x-1 + x-2*z + 4*x-1*y-1 + y-2*z-1 + x-1*y-1*z-1 + 2*x-2*y-1 + 2*x-1*y-2*z-1 + x-2*y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 81 1 Lattice Minkowski decompositions of facet 81
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