Polytope 2791
Image of polytope 2791 PALP id: 2791
grdb id: 472855
Integer points: [ 1 0 1 -3 -2 -3 1 -2 -1 -2 -1 0 -1 0 -1 0 1]
[ 0 1 2 -2 -1 -2 2 -1 0 -1 0 1 0 1 -1 0 1]
[ 0 0 3 -3 0 -2 2 -2 -1 -1 0 1 1 2 -1 0 1]
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
24 ? x*y2*z3 + x*y2*z2 + 2*x*y*z + 3*y*z2 + 4*y*z + x + y + 3*x-1*z + 6*x-1 + 3*x-1*z-1 + 2*x-1*y-1*z-1 + 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
75 ? x*y2*z3 + x*y2*z2 + 2*x*y*z + 3*y*z2 + 5*y*z + x + y + 3*x-1*z + 8*x-1 + 3*x-1*z-1 + 2*x-1*y-1*z-1 + 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 1 4 irreducible and admissible
Image of facet 188 1 Lattice Minkowski decompositions of facet 188
Image of facet 9 2 irreducible and admissible
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