Polytope 4294
Image of polytope 4294 PALP id: 4294
grdb id: 544439
Integer points: [ 1 1 1 -1 -7 -2 -3 -4 -5 -6 0 -1 -2 -3 -4 -5 0 -1 -2 -3 1 0 -1 0 -1 -2 -3 1 0 -1 1]
[ 0 2 0 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 0 0 0 0 1 1 1 -1 -1 -1 -1 0 0 0 1]
[ 0 0 2 2 -4 1 0 -1 -2 -3 2 1 0 -1 -2 -3 1 0 -1 -2 1 0 -1 1 0 -1 -2 1 0 -1 0]
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 + x + 6*y + 8*z + 2*y-1*z2 + 2*y-1*z + 4*x-1*y*z-1 + 19*x-1 + 12*x-1*y-1*z + x-1*y-2*z2 + 4*x-1*z-1 + 6*x-1*y-1 + 18*x-2*z-1 + 28*x-2*y-1 + 6*x-2*y-2*z + 6*x-2*y-1*z-1 + 6*x-3*z-2 + 32*x-3*y-1*z-1 + 15*x-3*y-2 + 2*x-3*y-1*z-2 + 18*x-4*y-1*z-2 + 20*x-4*y-2*z-1 + 4*x-5*y-1*z-3 + 15*x-5*y-2*z-2 + 6*x-6*y-2*z-3 + x-7*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 326 1 Lattice Minkowski decompositions of facet 326
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
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