Polytope 2372
Image of polytope 2372 PALP id: 2372
grdb id: 531930
Integer points: [ 1 0 0 -1 -3 -3 -2 -2 -2 -1 -1 -1 0 -1 0 0]
[ 0 1 1 0 -2 -2 -1 -1 -1 0 0 0 1 -1 0 0]
[ 0 0 2 2 -2 -3 0 -1 -2 1 0 -1 1 -1 1 0]
Degree: 22
Hilbert function: 1 + 14 t + 60 t2 + 161 t3 + 339 t4 + 616 t5 + 1014 t6 + 1555 t7 + 2261 t8 + 3154 t9 + 4256 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
59 rank 2, number 16 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 3*x-1*z + 5*x-1 + 3*x-1*z-1 + 2*x-1*y-1*z-1 + 2*x-2*y-1 + 4*x-2*y-1*z-1 + 3*x-2*y-1*z-2 + x-3*y-2*z-2 + x-3*y-2*z-3
17 rank 1, V22 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 4*x-1*z + 6*x-1 + 3*x-1*z-1 + 2*x-1*y-1*z-1 + 2*x-2*y-1 + 5*x-2*y-1*z-1 + 3*x-2*y-1*z-2 + x-3*y-2*z-2 + x-3*y-2*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 155 1 Lattice Minkowski decompositions of facet 155
Image of facet 9 1 irreducible and admissible
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