Polytope 2022
Image of polytope 2022 PALP id: 2022
grdb id: 491583
Integer points: [ 1 0 0 -1 -1 -2 -2 -2 -2 -1 -1 -1 0 0 0]
[ 0 1 0 2 -2 -2 1 0 -1 1 0 -1 1 0 -1]
[ 0 0 1 -2 2 1 -2 -1 0 -1 0 1 -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
71 rank 7, number 1 x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 4*x-1*y*z-1 + 7*x-1 + 4*x-1*y-1*z + x-1*y-2*z2 + x-2*y*z-2 + 3*x-2*z-1 + 3*x-2*y-1 + x-2*y-2*z
3 rank 4, number 1 x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 2*x-1*y*z-1 + 2*x-1 + 2*x-1*y-1*z + x-1*y-2*z2 + x-2*y*z-2 + 3*x-2*z-1 + 3*x-2*y-1 + x-2*y-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 4 irreducible and admissible
Image of facet 142 1 Lattice Minkowski decompositions of facet 142
Image of facet 9 1 irreducible and admissible
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