Polytope 4160
Image of polytope 4160 PALP id: 4160
grdb id: 435180
Integer points: [ 1 0 0 0 1 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 -1 -1 -1 -1 0 0 0 1 0]
[ 0 1 1 -1 0 1 -3 0 -1 -2 1 0 -1 -2 0 -1 1 0 -1 -2 1 0 -1 0 0]
[ 0 0 2 -2 2 0 -4 -1 -2 -3 1 0 -1 -2 1 0 0 -1 -2 -3 1 0 -1 1 -1]
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*z2 + y*z2 + 2*x*z + 2*y*z + x + y + 4*z + 2*x-1*y*z + 2*x-1*y + 2*z-1 + 3*y-1 + 7*x-1 + x-2*y + 4*y-1*z-1 + 6*x-1*z-1 + y-1*z-2 + 8*x-1*y-1*z-1 + 4*x-2*z-1 + 6*x-1*y-1*z-2 + 3*x-1*y-2*z-2 + 6*x-2*y-1*z-2 + 2*x-1*y-2*z-3 + 4*x-2*y-2*z-3 + x-2*y-3*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 1 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 167 1 Lattice Minkowski decompositions of facet 167
Image of facet 127 1 Lattice Minkowski decompositions of facet 127
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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