Polytope 2030
Image of polytope 2030 PALP id: 2030
grdb id: 490916
Integer points: [ 1 0 0 -1 -2 -3 -3 -3 -2 -2 -1 -1 -1 -1 0]
[ 0 1 0 1 -2 0 -2 -1 -1 0 -1 0 -1 0 0]
[ 0 0 1 -1 1 -2 0 -1 0 -1 1 0 0 -1 0]
Degree: 30
Hilbert function: 1 + 18 t + 80 t2 + 217 t3 + 459 t4 + 836 t5 + 1378 t6 + 2115 t7 + 3077 t8 + 4294 t9 + 5796 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
16 ? x + y + z + x-1*y*z-1 + 3*x-1 + 2*x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 3*x-2*z-1 + 4*x-2*y-1 + x-2*y-2*z + x-3*z-2 + 2*x-3*y-1*z-1 + x-3*y-2
50 ? x + y + z + x-1*y*z-1 + 3*x-1 + 2*x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 2*x-2*z-1 + 3*x-2*y-1 + x-2*y-2*z + x-3*z-2 + 2*x-3*y-1*z-1 + x-3*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 3 irreducible and admissible
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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