Polytope 3409
Image of polytope 3409 PALP id: 3409
grdb id: 321331
Integer points: [ 1 0 0 -1 1 -2 -1 -4 -2 -3 0 -1 -2 -1 -2 -3 1 0 -1]
[ 0 1 0 1 -2 2 -1 2 0 1 -1 0 1 0 1 2 -1 0 1]
[ 0 0 1 -1 0 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 0 0 0]
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
31 rank 3, number 3 x + y + z + 2*x*y-1 + 2*x-1*y + x-1*y*z-1 + x-2*y2*z-1 + x*y-2 + 3*y-1 + 3*x-1 + 2*x-2*y + 2*x-1*z-1 + 4*x-2*y*z-1 + 2*x-3*y2*z-1 + x-1*y-1*z-1 + 3*x-2*z-1 + 3*x-3*y*z-1 + x-4*y2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 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 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 56 1 Lattice Minkowski decompositions of facet 56
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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