Polytope 3168
Image of polytope 3168 PALP id: 3168
grdb id: 333898
Integer points: [ 1 0 0 -1 -1 -2 -3 -3 -2 -3 -2 -1 -2 -1 -1 0 -1 0]
[ 0 1 0 1 -2 1 0 -2 -2 -1 -1 -1 0 0 -1 -1 0 0]
[ 0 0 1 0 0 -1 -2 -2 -1 -2 -1 0 -1 0 -1 0 -1 0]
Degree: 26
Hilbert function: 1 + 16 t + 70 t2 + 189 t3 + 399 t4 + 726 t5 + 1196 t6 + 1835 t7 + 2669 t8 + 3724 t9 + 5026 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
67 rank 3, number 10 x + y + z + x-1*y + 2*y-1 + 3*x-1 + 2*x-1*z-1 + x-2*y*z-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 5*x-2*z-1 + x-1*y-2 + 5*x-2*y-1*z-1 + x-3*z-2 + 2*x-2*y-2*z-1 + 2*x-3*y-1*z-2 + x-3*y-2*z-2
55 rank 2, number 19 x + y + z + x-1*y + 2*y-1 + 2*x-1 + 2*x-1*z-1 + x-2*y*z-1 + x-1*y-1 + 2*x-1*y-1*z-1 + 2*x-2*z-1 + x-1*y-2 + 3*x-2*y-1*z-1 + x-3*z-2 + 2*x-2*y-2*z-1 + 2*x-3*y-1*z-2 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 190 1 Lattice Minkowski decompositions of facet 190
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
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