Polytope 4162
Image of polytope 4162 PALP id: 4162
grdb id: 435181
Integer points: [ 1 0 0 1 -2 0 -6 -1 -2 -3 -4 -5 0 -1 -2 -3 0 -1 -2 -3 -4 1 0 -1 -1]
[ 0 1 -1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1]
[ 0 0 0 2 -2 2 -4 1 0 -1 -2 -3 1 0 -1 -2 1 0 -1 -2 -3 1 0 -1 -1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
20 rank 1, V16 x*z2 + y*z2 + 2*x*z + 2*y*z + x + y + 4*z + 6*x-1*y*z + 8*x-1*y + 2*x-1*y*z-1 + y-1 + 7*x-1 + 15*x-2*y + 2*x-1*z-1 + 12*x-2*y*z-1 + x-2*y*z-2 + 6*x-2*z-1 + 20*x-3*y*z-1 + 8*x-3*y*z-2 + 2*x-3*z-2 + 15*x-4*y*z-2 + 2*x-4*y*z-3 + 6*x-5*y*z-3 + x-6*y*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 2 irreducible and admissible
Image of facet 171 1 Lattice Minkowski decompositions of facet 171
Image of facet 212 1 Lattice Minkowski decompositions of facet 212
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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