Polytope 4280
Image of polytope 4280 PALP id: 4280
grdb id: 257095
Integer points: [ 1 0 0 -1 -2 0 3 -2 -1 -2 -1 0 1 -2 -1 0 1 2 -1 0 1 2 -1 0 1 -1 0 1 2]
[ 0 1 0 1 1 1 -2 -2 1 0 0 0 0 -1 -1 -1 -1 -1 -2 -2 -2 -2 0 0 0 -1 -1 -1 -1]
[ 0 0 1 1 1 -1 -4 1 0 1 0 -1 -2 1 0 -1 -2 -3 0 -1 -2 -3 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-1*y*z + 3*x*z-1 + y*z-1 + 2*x-1*y + 3*x-1*z + x-2*y*z + 2*x2*y-1*z-2 + 3*x*z-2 + 6*x*y-1*z-1 + 9*z-1 + 6*y-1 + 9*x-1 + 2*x-1*y-1*z + 3*x-2*z + 3*x2*y-1*z-3 + 12*x*y-1*z-2 + 18*y-1*z-1 + 12*x-1*y-1 + 3*x-2*y-1*z + x3*y-2*z-4 + 5*x2*y-2*z-3 + 10*x*y-2*z-2 + 10*y-2*z-1 + 5*x-1*y-2 + x-2*y-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 25 2 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 277 1 Lattice Minkowski decompositions of facet 277
Image of facet 129 1 Lattice Minkowski decompositions of facet 129
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