Polytope 4048
Image of polytope 4048 PALP id: 4048
grdb id: 273916
Integer points: [ 1 0 0 0 1 -1 -1 -4 -2 -3 -1 -2 -3 0 -1 -2 0 -1 -2 0 -1 1 0]
[ 0 1 0 -1 -2 0 0 3 1 2 0 1 2 -1 0 1 -1 1 2 0 1 -1 0]
[ 0 0 1 1 0 1 -2 -2 0 -1 0 -1 -2 0 -1 -2 -1 0 -1 0 -1 0 -1]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
18 rank 1, V14 x + y + z + 2*x*y-1 + 3*x-1*y + y-1*z + x-1*z + 2*z-1 + 4*x-1*y*z-1 + 2*x-2*y2*z-1 + x*y-2 + 3*y-1 + 5*x-1 + 3*x-2*y + 2*y-1*z-1 + 6*x-1*z-1 + 7*x-2*y*z-1 + 3*x-3*y2*z-1 + x-1*z-2 + 3*x-2*y*z-2 + 3*x-3*y2*z-2 + x-4*y3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 220 1 Lattice Minkowski decompositions of facet 220
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