Polytope 3118
Image of polytope 3118 PALP id: 3118
grdb id: 463650
Integer points: [ 1 0 1 0 -2 -3 -5 -3 -4 -1 -2 -3 0 -1 -1 -2 0 -1]
[ 0 1 -1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 0 0 1 0 -2 -3 -1 -2 0 -1 -2 0 -1 0 -1 0 -1]
Degree: 24
Hilbert function: 1 + 15 t + 65 t2 + 175 t3 + 369 t4 + 671 t5 + 1105 t6 + 1695 t7 + 2465 t8 + 3439 t9 + 4641 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
38 ? x + y + z + x*y-1 + 3*y-1 + 2*x-1 + 2*x-1*z-1 + 3*x-1*y-1 + 3*x-1*y-1*z-1 + 2*x-2*z-1 + x-2*y-1 + 6*x-2*y-1*z-1 + x-3*z-2 + 3*x-3*y-1*z-1 + 3*x-3*y-1*z-2 + 3*x-4*y-1*z-2 + x-5*y-1*z-3
3 rank 4, number 1 x + y + z + x*y-1 + 3*y-1 + 3*x-1 + 2*x-1*z-1 + 3*x-1*y-1 + 3*x-1*y-1*z-1 + 4*x-2*z-1 + x-2*y-1 + 6*x-2*y-1*z-1 + x-3*z-2 + 3*x-3*y-1*z-1 + 3*x-3*y-1*z-2 + 3*x-4*y-1*z-2 + x-5*y-1*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 70 1 Lattice Minkowski decompositions of facet 70
Image of facet 9 1 irreducible and admissible
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
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