Polytope 2847
Image of polytope 2847 PALP id: 2847
grdb id: 349759
Integer points: [ 1 0 0 -1 -1 -1 -3 -3 -2 -3 -2 -1 -3 -2 -1 0 -1]
[ 0 1 0 0 0 -1 -2 -2 -1 -2 -1 0 -2 -1 -1 0 -1]
[ 0 0 1 -1 1 1 -2 1 1 0 0 0 -1 -1 0 0 -1]
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
122 rank 4, number 3 x + y + z + x-1*z + 4*x-1 + x-1*y-1*z + x-1*z-1 + 3*x-1*y-1 + 2*x-2*y-1*z + 2*x-1*y-1*z-1 + 5*x-2*y-1 + 3*x-2*y-1*z-1 + x-3*y-2*z + 3*x-3*y-2 + 3*x-3*y-2*z-1 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 138 1 Lattice Minkowski decompositions of facet 138
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
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