Polytope 3846
Image of polytope 3846 PALP id: 3846
grdb id: 585232
Integer points: [ 1 0 0 -1 0 -2 1 -2 1 0 -1 -1 -1 0 0 1 -1 0 0 1 1]
[ 0 1 0 1 -1 1 -2 1 -2 -1 0 0 0 -1 -1 -2 1 0 0 -1 -1]
[ 0 0 1 1 1 1 0 0 -2 -2 1 0 -1 0 -1 -1 0 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
51 rank 2, number 7 x + y + z + x-1*y*z + 2*x*y-1 + 2*x-1*y + y-1*z + 2*x-1*z + x-2*y*z + 2*x*y-1*z-1 + 2*z-1 + x*y-2 + 5*y-1 + 5*x-1 + x-2*y + 2*x*y-2*z-1 + 5*y-1*z-1 + 2*x-1*z-1 + x*y-2*z-2 + y-1*z-2
18 rank 1, V14 x + y + z + x-1*y*z + 2*x*y-1 + 2*x-1*y + y-1*z + 2*x-1*z + x-2*y*z + 2*x*y-1*z-1 + 2*z-1 + x*y-2 + 4*y-1 + 4*x-1 + x-2*y + 2*x*y-2*z-1 + 4*y-1*z-1 + 2*x-1*z-1 + x*y-2*z-2 + y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 11 3 Lattice Minkowski decompositions of facet 11
Image of facet 164 1 Lattice Minkowski decompositions of facet 164
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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