Polytope 2911
Image of polytope 2911 PALP id: 2911
grdb id: 186035
Integer points: [ 1 0 0 -1 -2 1 1 -2 1 0 -1 0 -1 0 1 0 -1]
[ 0 1 0 0 1 -2 -2 0 -3 -2 -1 -1 0 -1 -1 0 1]
[ 0 0 1 -1 0 0 -1 -1 -1 -1 -1 0 0 -1 0 0 0]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
109 rank 3, number 5 x + y + z + 2*x*y-1 + 2*x-1*y + x*y-2 + 4*y-1 + 3*x-1 + x-2*y + x*y-2*z-1 + 2*y-1*z-1 + x-1*z-1 + x*y-3*z-1 + 3*y-2*z-1 + 3*x-1*y-1*z-1 + x-2*z-1
39 ? x + y + z + 2*x*y-1 + 2*x-1*y + x*y-2 + 2*y-1 + 2*x-1 + x-2*y + x*y-2*z-1 + 2*y-1*z-1 + x-1*z-1 + x*y-3*z-1 + 3*y-2*z-1 + 3*x-1*y-1*z-1 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 11 3 Lattice Minkowski decompositions of facet 11
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 70 1 Lattice Minkowski decompositions of facet 70
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