Polytope 4300
Image of polytope 4300 PALP id: 4300
grdb id: 520319
Integer points: [ 1 1 1 -1 -1 -5 0 -2 -1 0 1 -3 -2 -1 0 -4 -3 -2 -1 0 -4 -3 -2 0 1 -1 0 1 -2 -1 0]
[ 0 2 0 2 -2 -2 -1 -2 -1 0 1 -2 -1 0 1 -2 -1 0 1 2 -1 0 1 -1 0 -1 0 1 -1 0 1]
[ 0 0 2 -2 2 -2 2 1 1 1 1 0 0 0 0 -1 -1 -1 -1 -1 -2 -2 -2 1 1 0 0 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*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + 2*y2*z-1 + x + 8*y + 8*z + 2*y-1*z2 + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 10*x-1*y*z-1 + 19*x-1 + 10*x-1*y-1*z + x-1*y-2*z2 + 4*x-1*z-1 + 4*x-1*y-1 + 4*x-2*y*z-2 + 18*x-2*z-1 + 18*x-2*y-1 + 4*x-2*y-2*z + 2*x-2*y-1*z-1 + 6*x-3*z-2 + 14*x-3*y-1*z-1 + 6*x-3*y-2 + 4*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 3 Lattice Minkowski decompositions of facet 16
Image of facet 32 2 Lattice Minkowski decompositions of facet 32
Image of facet 329 1 Lattice Minkowski decompositions of facet 329
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