Polytope 3214
Image of polytope 3214 PALP id: 3214
grdb id: 166515
Integer points: [ 1 0 0 0 2 0 -2 -1 -2 -1 -1 -2 1 0 -1 -1 1 0]
[ 0 1 0 -1 -2 1 1 1 1 1 0 1 -1 0 1 0 -1 0]
[ 0 0 1 0 1 -1 0 -2 -2 0 0 -1 1 0 -1 -1 0 -1]
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
51 rank 2, number 7 x + y + x2*y-2*z + 2*x*y-1*z + z + y*z-1 + 3*x*y-1 + 2*x-1*y + 3*z-1 + 3*x-1*y*z-1 + y-1 + 2*x-1 + x-2*y + x-1*y*z-2 + 2*x-1*z-1 + 2*x-2*y*z-1 + x-2*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 30 1 Lattice Minkowski decompositions of facet 30
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