Polytope 3641
Image of polytope 3641 PALP id: 3641
grdb id: 299999
Integer points: [ 1 0 0 1 0 1 -2 -2 -2 -2 -1 -1 -1 0 0 -1 -1 -1 0 0]
[ 0 1 0 -1 -1 -1 2 -1 1 0 1 0 -1 0 -1 1 0 -1 0 -1]
[ 0 0 1 0 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
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 + x*y-1 + 2*x-1*y + y-1*z + x*y-1*z-1 + 3*z-1 + 3*x-1*y*z-1 + x-2*y2*z-1 + 3*y-1 + 4*x-1 + 3*y-1*z-1 + 6*x-1*z-1 + 3*x-2*y*z-1 + 2*x-1*y-1 + 3*x-1*y-1*z-1 + 3*x-2*z-1 + x-2*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
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