Polytope 4003
Image of polytope 4003 PALP id: 4003
grdb id: 522703
Integer points: [ 1 0 1 0 -1 -4 -3 -2 -1 -3 -2 -1 0 -2 -1 0 -2 -1 0 -1 0 1 0]
[ 0 1 0 1 -2 1 1 1 1 0 0 0 0 -1 -1 -1 1 1 1 0 0 0 -1]
[ 0 0 2 2 -2 -2 -1 0 1 -2 -1 0 1 -2 -1 0 -1 0 1 -1 0 1 -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
11 rank 2, number 6 x*z2 + y*z2 + 2*x*z + 2*y*z + x + y + 4*z + 4*x-1*y*z + 4*x-1*y + 2*y-1 + 8*x-1 + 6*x-2*y + 2*y-1*z-1 + 4*x-1*z-1 + 2*x-2*y*z-1 + 4*x-1*y-1*z-1 + 8*x-2*z-1 + 4*x-3*y*z-1 + x-1*y-2*z-2 + 3*x-2*y-1*z-2 + 3*x-3*z-2 + x-4*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 213 1 Lattice Minkowski decompositions of facet 213
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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