Polytope 2051
Image of polytope 2051 PALP id: 2051
grdb id: 491147
Integer points: [ 1 1 0 -3 -3 -1 2 1 0 -1 -2 -2 1 0 -1]
[ 0 2 0 -2 -1 1 2 1 1 0 0 -1 1 0 -1]
[ 0 0 1 0 -1 -1 1 1 0 0 -1 0 0 0 0]
Degree: 24
Hilbert function: 1 + 15 t + 65 t2 + 175 t3 + 369 t4 + 671 t5 + 1105 t6 + 1695 t7 + 2465 t8 + 3439 t9 + 4641 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
134 ? x2*y2*z + x*y2 + 2*x*y*z + 2*x*y + x + 2*y + z + x-1*y*z-1 + 3*x-1 + 2*x-1*y-1 + 2*x-2*z-1 + 3*x-2*y-1 + x-3*y-1*z-1 + x-3*y-2
135 ? x2*y2*z + x*y2 + 2*x*y*z + 2*x*y + x + 5*y + z + x-1*y*z-1 + 6*x-1 + 2*x-1*y-1 + 2*x-2*z-1 + 4*x-2*y-1 + x-3*y-1*z-1 + x-3*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 6 irreducible and admissible
Image of facet 147 1 Lattice Minkowski decompositions of facet 147
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