Polytope 3256
Image of polytope 3256 PALP id: 3256
grdb id: 160162
Integer points: [ 1 0 0 0 0 -2 -2 -3 -3 -1 -2 -1 -3 -2 -1 -1 0 -1]
[ 0 1 -1 0 -1 2 -1 0 2 1 1 0 1 0 -1 1 0 0]
[ 0 0 0 1 1 -1 -1 -2 -2 0 -1 0 -2 -1 0 -1 0 -1]
Degree: 24
Hilbert function: 1 + 15 t + 65 t2 + 175 t3 + 369 t4 + 671 t5 + 1105 t6 + 1695 t7 + 2465 t8 + 3439 t9 + 4641 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
3 rank 4, number 1 x + y + z + 2*x-1*y + y-1*z + 2*x-1*y*z-1 + x-2*y2*z-1 + y-1 + 5*x-1 + 2*x-1*z-1 + 5*x-2*y*z-1 + 2*x-1*y-1 + x-3*y2*z-2 + 5*x-2*z-1 + 2*x-3*y*z-2 + x-2*y-1*z-1 + x-3*z-2
36 rank 3, number 7 x + y + z + 2*x-1*y + y-1*z + 2*x-1*y*z-1 + x-2*y2*z-1 + y-1 + 4*x-1 + 2*x-1*z-1 + 4*x-2*y*z-1 + 2*x-1*y-1 + x-3*y2*z-2 + 4*x-2*z-1 + 2*x-3*y*z-2 + x-2*y-1*z-1 + x-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 164 1 Lattice Minkowski decompositions of facet 164
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
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