Polytope 1743
Image of polytope 1743 PALP id: 1743
grdb id: 401404
Integer points: [ 1 0 0 0 -2 -1 -3 -3 -1 -2 -1 -2 0 -1]
[ 0 1 -1 0 0 2 2 3 1 2 0 1 0 1]
[ 0 0 0 1 -1 -1 -2 -2 0 -1 0 -1 0 -1]
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 + x-1*y2*z-1 + 3*x-1*y + 2*x-1*y*z-1 + 3*x-2*y2*z-1 + y-1 + 2*x-1 + x-3*y3*z-2 + 3*x-2*y*z-1 + x-3*y2*z-2 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
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