Polytope 3068
Image of polytope 3068 PALP id: 3068
grdb id: 527903
Integer points: [ 1 0 0 0 -3 -6 -4 -2 -5 -3 -1 -4 -2 -3 -1 -2 0 -1]
[ 0 1 0 -1 0 -3 -2 -1 -2 -1 0 -1 0 -2 -1 -1 0 0]
[ 0 0 1 -1 1 1 1 1 1 1 1 1 1 0 0 0 0 0]
Degree: 30
Hilbert function: 1 + 18 t + 80 t2 + 217 t3 + 459 t4 + 836 t5 + 1378 t6 + 2115 t7 + 3077 t8 + 4294 t9 + 5796 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
16 ? x + y + z + 3*x-1*z + 3*x-1 + 3*x-2*z + y-1*z-1 + 3*x-1*y-1 + 3*x-2*y-1*z + x-3*z + 3*x-2*y-1 + 6*x-3*y-1*z + 3*x-4*y-1*z + 2*x-3*y-2 + 3*x-4*y-2*z + 3*x-5*y-2*z + x-6*y-3*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 9 1 irreducible and admissible
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 56 1 Lattice Minkowski decompositions of facet 56
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