Polytope 4149
Image of polytope 4149 PALP id: 4149
grdb id: 521466
Integer points: [ 1 0 0 1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 0 0]
[ 0 1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0]
[ 0 0 1 -1 2 -4 1 0 -1 -2 -3 1 0 -1 -2 -3 0 -1 -2 1 0 -1 -2 0 -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 + y + z + 2*x-1*z + x*y-1*z-1 + 3*z-1 + 3*y-1 + 6*x-1 + 3*x-1*y-1*z + x-2*y-1*z2 + 6*y-1*z-1 + 6*x-1*z-1 + 12*x-1*y-1 + 6*x-2*y-1*z + 3*y-1*z-2 + 2*x-1*z-2 + 18*x-1*y-1*z-1 + 15*x-2*y-1 + 12*x-1*y-1*z-2 + 20*x-2*y-1*z-1 + 3*x-1*y-1*z-3 + 15*x-2*y-1*z-2 + 6*x-2*y-1*z-3 + x-2*y-1*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 241 1 Lattice Minkowski decompositions of facet 241
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
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