Polytope 4259
Image of polytope 4259 PALP id: 4259
grdb id: 431910
Integer points: [ 1 0 0 -2 2 -4 2 -1 0 1 -3 -2 -1 0 1 2 -3 -2 -1 0 1 -1 0 1 -2 -1 0 1]
[ 0 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0]
[ 0 0 1 2 -2 2 -4 1 0 -1 2 1 0 -1 -2 -3 1 0 -1 -2 -3 1 0 -1 1 0 -1 -2]
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 + y + z + 2*x*z-1 + 2*x-1*z + x2*y-1*z-2 + 2*x*z-2 + 4*x*y-1*z-1 + 6*z-1 + 6*y-1 + 6*x-1 + 4*x-1*y-1*z + 2*x-2*z + x-2*y-1*z2 + 2*x2*y-1*z-3 + 10*x*y-1*z-2 + 20*y-1*z-1 + 20*x-1*y-1 + 10*x-2*y-1*z + 2*x-3*y-1*z2 + x2*y-1*z-4 + 6*x*y-1*z-3 + 15*y-1*z-2 + 20*x-1*y-1*z-1 + 15*x-2*y-1 + 6*x-3*y-1*z + x-4*y-1*z2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 49 1 Lattice Minkowski decompositions of facet 49
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
Image of facet 22 2 Lattice Minkowski decompositions of facet 22
Image of facet 312 1 Lattice Minkowski decompositions of facet 312
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