Polytope 581
Image of polytope 581 PALP id: 581
grdb id: 516368
Integer points: [ 1 0 -1 -1 0 -2 -2 -1 -2 0 0]
[ 0 1 0 -2 0 -1 -3 -1 -2 -1 0]
[ 0 0 0 0 1 -1 -1 0 -1 0 0]
Degree: 40
Hilbert function: 1 + 23 t + 105 t2 + 287 t3 + 609 t4 + 1111 t5 + 1833 t6 + 2815 t7 + 4097 t8 + 5719 t9 + 7721 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
140 ? x + y + z + 2*y-1 + x-1 + 3*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1 + 2*x-2*y-2*z-1 + x-2*y-3*z-1
123 ? x + y + z + 2*y-1 + x-1 + 2*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1 + 2*x-2*y-2*z-1 + x-2*y-3*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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