Polytope 4159
Image of polytope 4159 PALP id: 4159
grdb id: 434956
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 0 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 0 0 0]
[ 0 1 1 0 0 -2 -2 0 0 0 1 -1 -1 -1 -1 -1 0 0 0 -2 -2 -2 -1 -1 -1]
[ 0 0 2 2 -2 -4 0 1 0 -1 1 1 0 -1 -2 -3 1 0 -1 -1 -2 -3 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 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 4*x-1*z + 2*z-1 + 2*y-1 + 6*x-1 + 2*x-1*y-1*z + 4*y-1*z-1 + 4*x-1*z-1 + 8*x-1*y-1 + 2*y-1*z-2 + x-1*z-2 + 12*x-1*y-1*z-1 + x-1*y-2 + 8*x-1*y-1*z-2 + 4*x-1*y-2*z-1 + 2*x-1*y-1*z-3 + 6*x-1*y-2*z-2 + 4*x-1*y-2*z-3 + x-1*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 1 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 22 2 Lattice Minkowski decompositions of facet 22
Image of facet 214 1 Lattice Minkowski decompositions of facet 214
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