Polytope 4206
Image of polytope 4206 PALP id: 4206
grdb id: 433730
Integer points: [ 1 0 0 1 -2 -1 -5 -2 -3 -4 0 -1 -2 -3 -4 0 -1 -2 -3 -1 0 -1 -2 1 0 -1]
[ 0 1 0 -2 2 -2 2 -1 0 1 -2 -1 0 1 2 -1 0 1 2 1 -1 0 1 -1 0 1]
[ 0 0 1 2 -1 0 -4 -1 -2 -3 1 0 -1 -2 -3 1 0 -1 -2 0 0 -1 -2 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 + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 4*y-1*z + 3*x-1*y*z-1 + x-2*y2*z-1 + 2*y-1 + 8*x-1 + 2*y-2*z + 4*x-1*z-1 + 8*x-2*y*z-1 + 8*x-1*y-1 + 2*x-2*y*z-2 + 3*x-3*y2*z-2 + 13*x-2*z-1 + x-1*y-2 + 10*x-3*y*z-2 + 4*x-2*y-1*z-1 + 3*x-4*y2*z-3 + 6*x-3*z-2 + 4*x-4*y*z-3 + x-5*y2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 1 irreducible and admissible
Image of facet 293 1 Lattice Minkowski decompositions of facet 293
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
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