Polytope 4239
Image of polytope 4239 PALP id: 4239
grdb id: 520906
Integer points: [ 1 0 0 0 -2 -2 0 0 0 -1 -1 -1 -1 -1 -1 -2 -2 -2 -2 -2 0 0 0 -1 -1 -1 -1]
[ 0 1 1 -3 1 -5 0 -1 -2 1 0 -1 -2 -3 -4 0 -1 -2 -3 -4 1 0 -1 1 0 -1 -2]
[ 0 0 2 -2 2 -4 1 0 -1 2 1 0 -1 -2 -3 1 0 -1 -2 -3 1 0 -1 1 0 -1 -2]
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 y*z2 + 2*y*z + 2*x-1*y*z2 + x + y + 4*z + 2*x-1*y*z + x-2*y*z2 + 10*x-1*z + 6*y-1 + 6*x-1 + 6*x-2*z + 2*y-1*z-1 + 20*x-1*y-1 + 4*y-2*z-1 + 6*x-1*y-1*z-1 + 15*x-2*y-1 + 20*x-1*y-2*z-1 + y-3*z-2 + 2*x-1*y-2*z-2 + 20*x-2*y-2*z-1 + 10*x-1*y-3*z-2 + 15*x-2*y-3*z-2 + 2*x-1*y-4*z-3 + 6*x-2*y-4*z-3 + x-2*y-5*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 1 irreducible and admissible
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
Image of facet 312 1 Lattice Minkowski decompositions of facet 312
Image of facet 13 1 irreducible and admissible
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