Polytope 3820
Image of polytope 3820 PALP id: 3820
grdb id: 287137
Integer points: [ 1 0 0 0 -1 -1 -3 -3 -2 -1 -3 -2 -1 -3 -2 -1 -2 -1 0 -1 0]
[ 0 1 0 -1 2 -2 0 3 2 1 2 1 0 1 0 -1 -1 1 0 0 -1]
[ 0 0 1 1 -1 0 -2 -2 -1 0 -2 -1 0 -2 -1 0 -1 -1 0 -1 0]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
52 rank 2, number 13 x + y + z + x-1*y2*z-1 + 3*x-1*y + y-1*z + 3*x-1*y*z-1 + 3*x-2*y2*z-1 + 2*y-1 + 5*x-1 + x-3*y3*z-2 + 2*x-1*z-1 + 7*x-2*y*z-1 + 3*x-1*y-1 + 3*x-3*y2*z-2 + 6*x-2*z-1 + x-1*y-2 + 3*x-3*y*z-2 + 2*x-2*y-1*z-1 + x-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 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 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 220 1 Lattice Minkowski decompositions of facet 220
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