Polytope 3455
Image of polytope 3455 PALP id: 3455
grdb id: 144137
Integer points: [ 1 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 1 -1 1 -2 0 1 1 1 0 0 0 -1 -1 0 0 -1]
[ 0 0 1 -1 1 1 0 -2 -2 0 -1 1 0 -1 0 -1 0 -1 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
10 rank 1, V18 x + y + z + x-1*y*z + y*z-1 + 3*x-1*y + 2*x-1*z + 2*z-1 + 3*x-1*y*z-1 + 2*y-1 + 5*x-1 + x-1*y-1*z + x-1*y*z-2 + 4*x-1*z-1 + 3*x-1*y-1 + x-1*z-2 + 2*x-1*y-1*z-1 + x-1*y-2
31 rank 3, number 3 x + y + z + x-1*y*z + y*z-1 + 3*x-1*y + 2*x-1*z + 2*z-1 + 3*x-1*y*z-1 + 2*y-1 + 6*x-1 + x-1*y-1*z + x-1*y*z-2 + 5*x-1*z-1 + 4*x-1*y-1 + x-1*z-2 + 2*x-1*y-1*z-1 + x-1*y-2
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 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 155 1 Lattice Minkowski decompositions of facet 155
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
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