Polytope 2946
Image of polytope 2946 PALP id: 2946
grdb id: 179890
Integer points: [ 1 0 0 0 -1 -2 -2 -3 -3 -1 -2 -1 -3 -2 -1 0 -1]
[ 0 1 -1 0 1 1 -2 0 -2 -1 -1 0 -1 0 -1 0 0]
[ 0 0 0 1 0 -1 -1 -2 -2 0 -1 0 -2 -1 -1 0 -1]
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
144 rank 3, number 12 x + y + z + x-1*y + 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 + 3*x-2*z-1 + 4*x-2*y-1*z-1 + x-3*z-2 + x-2*y-2*z-1 + 2*x-3*y-1*z-2 + x-3*y-2*z-2
107 rank 3, number 11 x + y + z + x-1*y + y-1 + 2*x-1 + 2*x-1*z-1 + x-2*y*z-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 3*x-2*z-1 + 3*x-2*y-1*z-1 + x-3*z-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 4 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 143 1 Lattice Minkowski decompositions of facet 143
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