Polytope 2890
Image of polytope 2890 PALP id: 2890
grdb id: 186772
Integer points: [ 1 0 0 0 0 1 -2 -2 -3 -1 -2 -1 0 -1 0 1 -1]
[ 0 1 0 0 -1 -2 1 2 2 0 1 0 -1 1 0 -1 1]
[ 0 0 1 -1 0 2 -2 -1 -2 -1 -1 0 1 -1 0 1 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 + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 4*y-1*z + z-1 + 2*x-1*y*z-1 + x-2*y2*z-1 + y-1 + 6*x-1 + 2*x-1*z-1 + 4*x-2*y*z-1 + x-2*y*z-2 + x-3*y2*z-2
40 rank 2, number 10 x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 4*y-1*z + z-1 + 3*x-1*y*z-1 + x-2*y2*z-1 + y-1 + 6*x-1 + 2*x-1*z-1 + 4*x-2*y*z-1 + x-2*y*z-2 + x-3*y2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 24 1 Lattice Minkowski decompositions of facet 24
Image of facet 1 2 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 59 2 Lattice Minkowski decompositions of facet 59
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