Polytope 2685
Image of polytope 2685 PALP id: 2685
grdb id: 59847
Integer points: [ 1 0 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 0 1 1 0 -1 1 -1 -2 0 -1 0 -1 0]
[ 0 0 1 -1 -1 0 1 1 -1 -1 0 -1 0 0 0 0]
Degree: 22
Hilbert function: 1 + 14 t + 60 t2 + 161 t3 + 339 t4 + 616 t5 + 1014 t6 + 1555 t7 + 2261 t8 + 3154 t9 + 4256 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
59 rank 2, number 16 x + y + z + y*z-1 + x-1*y + x-1*z + z-1 + x-1*y*z-1 + 2*y-1 + 2*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2
146 rank 3, number 6 x + y + z + y*z-1 + x-1*y + x-1*z + z-1 + x-1*y*z-1 + 2*y-1 + 4*x-1 + x-1*y-1*z + 2*x-1*z-1 + 3*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 11 3 Lattice Minkowski decompositions of facet 11
Image of facet 72 1 Lattice Minkowski decompositions of facet 72
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