Polytope 4254
Image of polytope 4254 PALP id: 4254
grdb id: 65832
Integer points: [ 1 0 0 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0]
[ 0 1 0 -1 0 -1 2 -3 2 0 1 -2 -1 0 1 2 -2 -1 0 1 -1 0 1 -2 -1 0 1]
[ 0 0 1 0 -1 2 -1 2 -3 1 0 2 1 0 -1 -2 1 0 -1 -2 1 0 -1 1 0 -1 -2]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x + y + z + x*z-1 + 3*y*z-1 + x-1*y2*z-1 + x*y-1 + 3*x-1*y + 3*y-1*z + 3*x-1*z + x-1*y-1*z2 + 2*y*z-2 + 2*x-1*y2*z-2 + 6*z-1 + 8*x-1*y*z-1 + 6*y-1 + 12*x-1 + 2*y-2*z + 8*x-1*y-1*z + 2*x-1*y-2*z2 + x-1*y2*z-3 + 5*x-1*y*z-2 + 10*x-1*z-1 + 10*x-1*y-1 + 5*x-1*y-2*z + x-1*y-3*z2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 129 1 Lattice Minkowski decompositions of facet 129
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 216 1 Lattice Minkowski decompositions of facet 216
Image of facet 30 2 Lattice Minkowski decompositions of facet 30
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