Polytope 3686
Image of polytope 3686 PALP id: 3686
grdb id: 125313
Integer points: [ 1 0 0 0 1 -1 -1 -2 -2 -2 -2 -1 -1 -1 0 0 -1 -1 0 0]
[ 0 1 0 1 0 1 -2 0 -3 -1 -2 0 -1 -2 0 -1 0 -1 0 -1]
[ 0 0 1 -1 -1 -1 2 -1 2 0 1 -1 0 1 -1 0 0 1 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
62 rank 2, number 9 x + y + z + x*z-1 + y*z-1 + 2*y-1*z + 3*z-1 + x-1*y*z-1 + 3*y-1 + 3*x-1 + 3*x-1*y-1*z + x-1*y-2*z2 + 3*x-1*z-1 + 6*x-1*y-1 + 3*x-1*y-2*z + x-2*z-1 + 3*x-2*y-1 + 3*x-2*y-2*z + x-2*y-3*z2
20 rank 1, V16 x + y + z + x*z-1 + y*z-1 + 2*y-1*z + 3*z-1 + x-1*y*z-1 + 3*y-1 + 4*x-1 + 4*x-1*y-1*z + x-1*y-2*z2 + 3*x-1*z-1 + 6*x-1*y-1 + 3*x-1*y-2*z + x-2*z-1 + 3*x-2*y-1 + 3*x-2*y-2*z + x-2*y-3*z2
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 100 1 Lattice Minkowski decompositions of facet 100
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
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