Polytope 2642
Image of polytope 2642 PALP id: 2642
grdb id: 652718
Integer points: [ 1 0 0 1 -1 0 -1 -1 0 -1 -1 -1 -1 0 0 0]
[ 0 1 0 -1 1 0 0 0 -2 -2 -1 -1 0 -1 -1 0]
[ 0 0 1 0 0 -1 -1 1 1 1 0 1 0 0 1 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
146 rank 3, number 6 x + y + z + x*y-1 + x-1*y + 2*y-1*z + x-1*z + z-1 + 3*y-1 + 2*x-1 + y-2*z + 2*x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + x-1*y-2*z
17 rank 1, V22 x + y + z + x*y-1 + x-1*y + 2*y-1*z + x-1*z + z-1 + 2*y-1 + 2*x-1 + y-2*z + 2*x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + x-1*y-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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