Polytope 2828
Image of polytope 2828 PALP id: 2828
grdb id: 355133
Integer points: [ 1 0 0 -2 -2 1 -3 1 -1 0 -1 -2 0 -1 1 0 -1]
[ 0 1 0 0 2 -2 2 -3 1 -1 0 1 -2 -1 -1 0 1]
[ 0 0 1 -1 -1 2 -2 2 0 1 0 -1 1 0 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
109 rank 3, number 5 x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 5*y-1*z + x*y-3*z2 + 2*x-1*y*z-1 + x-2*y2*z-1 + 7*x-1 + 3*y-2*z + 4*x-2*y*z-1 + 3*x-1*y-1 + x-3*y2*z-2 + x-2*z-1
39 ? x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 3*y-1*z + x*y-3*z2 + 2*x-1*y*z-1 + x-2*y2*z-1 + 4*x-1 + 3*y-2*z + 3*x-2*y*z-1 + 3*x-1*y-1 + x-3*y2*z-2 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 3 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 166 1 Lattice Minkowski decompositions of facet 166
Image of facet 9 1 irreducible and admissible
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