Polytope 2753
Image of polytope 2753 PALP id: 2753
grdb id: 474441
Integer points: [ 1 0 1 1 -2 -2 0 -1 -1 0 -1 0 -1 0 1 0 1]
[ 0 1 1 3 -3 -1 3 1 0 2 -1 1 -2 0 2 -1 1]
[ 0 0 2 3 -3 -2 2 0 -1 1 -1 1 -2 0 2 -1 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*y3*z3 + 3*x*y2*z2 + y3*z2 + x*y*z2 + 3*x*y*z + 2*y2*z + y*z + x + y + 2*x-1*y + 3*y-1*z-1 + 2*x-1*z-1 + 2*x-1*y-1*z-1 + 3*x-1*y-2*z-2 + x-2*y-1*z-2 + x-2*y-3*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 9 2 irreducible and admissible
Image of facet 44 2 Lattice Minkowski decompositions of facet 44
Image of facet 47 1 Lattice Minkowski decompositions of facet 47
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