Polytope 1565
Image of polytope 1565 PALP id: 1565
grdb id: 537075
Integer points: [ 1 0 0 -3 -4 -5 -4 -3 -2 -2 -1 -2 -1 0]
[ 0 1 0 -2 -1 -2 -2 -1 -1 0 0 -1 -1 0]
[ 0 0 1 0 -2 -2 -1 -1 0 -1 0 -1 0 0]
Degree: 38
Hilbert function: 1 + 22 t + 100 t2 + 273 t3 + 579 t4 + 1056 t5 + 1742 t6 + 2675 t7 + 3893 t8 + 5434 t9 + 7336 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
63 rank 3, number 20 x + y + z + 2*x-1 + 2*x-1*y-1 + 2*x-2*z-1 + x-2*y-1 + 2*x-2*y-1*z-1 + 3*x-3*y-1*z-1 + x-3*y-2 + x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2
57 rank 3, number 19 x + y + z + x-1 + 2*x-1*y-1 + 2*x-2*z-1 + 2*x-2*y-1 + 2*x-2*y-1*z-1 + 3*x-3*y-1*z-1 + x-3*y-2 + x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 112 1 Lattice Minkowski decompositions of facet 112
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