Polytope 2442
Image of polytope 2442 PALP id: 2442
grdb id: 481366
Integer points: [ 1 0 0 0 -2 -2 -4 -1 -2 -3 -1 -1 -2 -3 0 -1]
[ 0 1 -1 0 0 3 4 1 2 3 2 0 1 2 0 1]
[ 0 0 0 1 -1 -2 -3 0 -1 -2 -1 0 -1 -2 0 -1]
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 + 2*x-1*y2*z-1 + 4*x-1*y + x-2*y3*z-2 + 3*x-1*y*z-1 + 6*x-2*y2*z-1 + y-1 + 2*x-1 + 4*x-3*y3*z-2 + 4*x-2*y*z-1 + x-4*y4*z-3 + 2*x-3*y2*z-2 + x-2*z-1
50 ? x + y + z + 2*x-1*y2*z-1 + 4*x-1*y + x-2*y3*z-2 + 2*x-1*y*z-1 + 6*x-2*y2*z-1 + y-1 + 2*x-1 + 4*x-3*y3*z-2 + 4*x-2*y*z-1 + x-4*y4*z-3 + 2*x-3*y2*z-2 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
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