Polytope 2742
Image of polytope 2742 PALP id: 2742
grdb id: 529800
Integer points: [ 1 0 1 -5 3 -6 -2 0 2 -3 -1 1 -4 -2 1 -2 0]
[ 0 1 0 -2 1 -2 -1 0 1 -1 0 1 -1 0 0 -1 0]
[ 0 0 2 -2 3 -3 0 1 2 -1 0 1 -2 -1 1 -1 0]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
13 rank 2, number 12 x3*y*z3 + 3*x2*y*z2 + 3*x*y*z + x*z2 + 2*x*z + x + y + 5*z + 7*x-1 + 3*x-2*z-1 + 2*x-2*y-1 + 2*x-2*y-1*z-1 + 5*x-3*y-1*z-1 + 3*x-4*y-1*z-2 + x-5*y-2*z-2 + x-6*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 2 irreducible and admissible
Image of facet 174 1 Lattice Minkowski decompositions of facet 174
Image of facet 9 2 irreducible and admissible
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