Polytope 3339
Image of polytope 3339 PALP id: 3339
grdb id: 526756
Integer points: [ 1 0 0 -4 -5 -1 -2 -3 -4 -1 -2 -3 0 -1 -2 0 -1 -2 0]
[ 0 1 1 -3 -4 0 -1 -2 -3 0 -1 -2 1 0 -1 0 -1 -2 0]
[ 0 0 2 -2 -2 2 1 0 -1 1 0 -1 1 0 -1 1 0 -1 0]
Degree: 28
Hilbert function: 1 + 17 t + 75 t2 + 203 t3 + 429 t4 + 781 t5 + 1287 t6 + 1975 t7 + 2873 t8 + 4009 t9 + 5411 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
32 rank 4, number 2 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 6*x-1*z + 5*x-1 + 4*x-1*y-1 + 4*x-2*y-1*z + 10*x-2*y-1 + 2*x-2*y-1*z-1 + 2*x-2*y-2*z-1 + 6*x-3*y-2 + 6*x-3*y-2*z-1 + 4*x-4*y-3*z-1 + x-4*y-3*z-2 + x-5*y-4*z-2
8 ? y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 5*x-1*z + 4*x-1 + 4*x-1*y-1 + 4*x-2*y-1*z + 8*x-2*y-1 + 2*x-2*y-1*z-1 + 2*x-2*y-2*z-1 + 6*x-3*y-2 + 5*x-3*y-2*z-1 + 4*x-4*y-3*z-1 + x-4*y-3*z-2 + x-5*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 4 irreducible and admissible
Image of facet 223 1 Lattice Minkowski decompositions of facet 223
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