Polytope 1647
Image of polytope 1647 PALP id: 1647
grdb id: 500332
Integer points: [ 1 0 0 0 -2 -3 -4 -3 -2 -1 -2 -1 -1 0]
[ 0 1 0 -1 0 -2 -2 -1 -1 0 -1 0 -1 0]
[ 0 0 1 -1 1 0 1 1 1 1 0 0 0 0]
Degree: 32
Hilbert function: 1 + 19 t + 85 t2 + 231 t3 + 489 t4 + 891 t5 + 1469 t6 + 2255 t7 + 3281 t8 + 4579 t9 + 6181 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
112 rank 3, number 15 x + y + z + 2*x-1*z + 3*x-1 + x-2*z + y-1*z-1 + 2*x-1*y-1 + 2*x-2*y-1*z + 3*x-2*y-1 + 2*x-3*y-1*z + x-3*y-2 + x-4*y-2*z
103 rank 4, number 4 x + y + z + 2*x-1*z + 3*x-1 + x-2*z + y-1*z-1 + 3*x-1*y-1 + 2*x-2*y-1*z + 3*x-2*y-1 + 2*x-3*y-1*z + x-3*y-2 + x-4*y-2*z
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 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 9 1 irreducible and admissible
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
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