Polytope 1564
Image of polytope 1564 PALP id: 1564
grdb id: 537105
Integer points: [ 1 0 0 -3 -4 -5 -2 -1 -4 -3 -2 -1 0 -2]
[ 0 1 0 -2 -3 -4 -1 0 -3 -2 -1 -1 0 -2]
[ 0 0 1 0 -2 -2 0 0 -1 -1 -1 0 0 -1]
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
105 rank 4, number 8 x + y + z + 3*x-1 + 2*x-1*y-1 + 3*x-2*y-1 + 2*x-2*y-1*z-1 + 2*x-2*y-2*z-1 + x-3*y-2 + 4*x-3*y-2*z-1 + 2*x-4*y-3*z-1 + x-4*y-3*z-2 + x-5*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 9 1 irreducible and admissible
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