Polytope 3939
Image of polytope 3939 PALP id: 3939
grdb id: 282905
Integer points: [ 1 0 0 0 1 -1 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 -1 -1 -1 0 0]
[ 0 1 0 0 -1 1 0 -4 -1 -2 -3 0 -1 -2 -3 -1 -2 0 -1 -2 0 -1]
[ 0 0 1 -1 0 1 1 -3 0 -1 -2 1 0 -1 -2 0 -1 0 -1 -2 0 -1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
10 rank 1, V18 x + y + z + x-1*y*z + x*y-1 + 2*x-1*z + z-1 + 4*y-1 + 4*x-1 + x-2*z + 3*y-1*z-1 + 7*x-1*y-1 + 3*y-2*z-1 + 5*x-1*y-1*z-1 + 4*x-2*y-1 + 8*x-1*y-2*z-1 + 2*x-1*y-2*z-2 + 6*x-2*y-2*z-1 + 3*x-1*y-3*z-2 + 4*x-2*y-3*z-2 + x-2*y-4*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 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 167 1 Lattice Minkowski decompositions of facet 167
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 107 1 Lattice Minkowski decompositions of facet 107
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