Polytope 4257
Image of polytope 4257 PALP id: 4257
grdb id: 520706
Integer points: [ 1 0 0 1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 1 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 0 2 -1 2 -4 1 0 -1 -2 -3 1 0 -1 -2 -3 0 -1 -2 2 1 0 -1 -2 1 0 -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 y*z2 + 2*y*z + x + y + 3*z + 2*x-1*z2 + 8*x-1*z + x*y-1*z-1 + 3*z-1 + 3*y-1 + 12*x-1 + 3*x-1*y-1*z + x-2*y-1*z2 + 6*y-1*z-1 + 8*x-1*z-1 + 12*x-1*y-1 + 6*x-2*y-1*z + 3*y-1*z-2 + 2*x-1*z-2 + 18*x-1*y-1*z-1 + 15*x-2*y-1 + 12*x-1*y-1*z-2 + 20*x-2*y-1*z-1 + 3*x-1*y-1*z-3 + 15*x-2*y-1*z-2 + 6*x-2*y-1*z-3 + x-2*y-1*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 1 irreducible and admissible
Image of facet 212 1 Lattice Minkowski decompositions of facet 212
Image of facet 25 2 Lattice Minkowski decompositions of facet 25
Image of facet 241 1 Lattice Minkowski decompositions of facet 241
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