Polytope 2471
Image of polytope 2471 PALP id: 2471
grdb id: 372935
Integer points: [ 1 1 -1 -1 0 1 1 -3 0 1 -1 0 -2 1 -1 0]
[ 0 2 0 -2 0 2 0 -3 -1 1 -1 0 -2 1 -1 1]
[ 0 0 0 0 1 -1 -1 1 0 -1 0 0 1 0 1 0]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
18 rank 1, V14 x*y2 + x*y2*z-1 + 2*x*y + 2*x*y*z-1 + x + 2*y + z + x*z-1 + 2*y-1 + x-1 + 3*x-1*y-1*z + 2*x-1*y-1 + x-1*y-2 + 3*x-2*y-2*z + x-3*y-3*z
51 rank 2, number 7 x*y2 + x*y2*z-1 + 2*x*y + 2*x*y*z-1 + x + 2*y + z + x*z-1 + 2*y-1 + x-1 + 3*x-1*y-1*z + 3*x-1*y-1 + x-1*y-2 + 3*x-2*y-2*z + x-3*y-3*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 3 irreducible and admissible
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
Image of facet 44 2 Lattice Minkowski decompositions of facet 44
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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