Polytope 3886
Image of polytope 3886 PALP id: 3886
grdb id: 523387
Integer points: [ 1 0 0 0 -1 -4 -1 -2 -3 0 -1 -2 -3 0 -1 -2 0 -1 -2 0 -1 0]
[ 0 1 0 -3 2 5 -1 1 3 -2 0 2 4 -1 1 3 -1 1 3 0 2 1]
[ 0 0 1 -2 2 2 -1 0 1 -1 0 1 2 0 1 2 -1 0 1 0 1 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-1*y2*z2 + 3*x-2*y3*z2 + 3*x-3*y4*z2 + x-4*y5*z2 + 2*y*z + 4*x-1*y2*z + 2*x-2*y3*z + x + y + z + 6*x-1*y*z + 9*x-2*y2*z + 4*x-3*y3*z + 4*x-1*y + 3*y-1 + 9*x-1 + 6*x-2*y + 2*y-1*z-1 + 3*y-2*z-1 + 4*x-1*y-1*z-1 + y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 2 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
Image of facet 9 1 irreducible and admissible
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