Polytope 4223
Image of polytope 4223 PALP id: 4223
grdb id: 261536
Integer points: [ 1 0 0 0 0 -1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 0 0 0]
[ 0 1 0 0 -2 2 2 -4 1 0 -1 -2 -3 1 0 -1 -2 -3 -1 1 0 -1 -2 1 0 -1]
[ 0 0 1 -1 1 -2 -3 3 -2 -1 0 1 2 -2 -1 0 1 2 0 -1 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 + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + z-1 + 5*x-1*y*z-1 + 2*y-1 + 9*x-1 + y-2*z + 7*x-1*y-1*z + 2*x-1*y-2*z2 + 2*x-1*y*z-2 + 8*x-1*z-1 + 12*x-1*y-1 + 8*x-1*y-2*z + 2*x-1*y-3*z2 + x-2*y2*z-3 + 6*x-2*y*z-2 + 15*x-2*z-1 + 20*x-2*y-1 + 15*x-2*y-2*z + 6*x-2*y-3*z2 + x-2*y-4*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 212 1 Lattice Minkowski decompositions of facet 212
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 200 1 Lattice Minkowski decompositions of facet 200
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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