Polytope 3852
Image of polytope 3852 PALP id: 3852
grdb id: 585548
Integer points: [ 1 0 0 -1 2 2 0 -2 -1 -3 -2 -1 -1 0 1 1 -2 -1 0 0 1]
[ 0 1 0 1 -1 -1 -1 1 -1 1 1 1 0 0 0 -1 0 0 0 -1 -1]
[ 0 0 1 1 -1 -2 1 0 1 1 1 0 1 0 -1 0 1 0 -1 0 -1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x + y + z + x-1*y*z + x2*y-1*z-1 + 2*x*z-1 + 2*x*y-1 + 2*x-1*y + y-1*z + 3*x-1*z + 2*x-2*y*z + x2*y-1*z-2 + 3*x*y-1*z-1 + 2*z-1 + 3*y-1 + 4*x-1 + x-2*y + x-1*y-1*z + 2*x-2*z + x-3*y*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 30 1 Lattice Minkowski decompositions of facet 30
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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