Polytope 2737
Image of polytope 2737 PALP id: 2737
grdb id: 530243
Integer points: [ 1 0 1 -3 -5 1 0 -1 -2 -3 -4 0 -1 -2 1 0 -1]
[ 0 1 0 0 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0]
[ 0 0 2 -2 -3 3 2 1 0 -1 -2 1 0 -1 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
75 ? x*z2 + x*y-1*z3 + 2*x*z + x + y + 5*z + 6*y-1*z2 + 8*x-1 + 15*x-1*y-1*z + 2*x-1*z-1 + 5*x-2*z-1 + 20*x-2*y-1 + x-3*z-2 + 15*x-3*y-1*z-1 + 6*x-4*y-1*z-2 + x-5*y-1*z-3
24 ? x*z2 + x*y-1*z3 + 2*x*z + x + y + 4*z + 6*y-1*z2 + 6*x-1 + 15*x-1*y-1*z + 2*x-1*z-1 + 4*x-2*z-1 + 20*x-2*y-1 + x-3*z-2 + 15*x-3*y-1*z-1 + 6*x-4*y-1*z-2 + x-5*y-1*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 4 irreducible and admissible
Image of facet 53 1 irreducible and admissible
Image of facet 183 1 Lattice Minkowski decompositions of facet 183
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