Polytope 867
Image of polytope 867 PALP id: 867
grdb id: 513115
Integer points: [ 1 0 0 -2 -1 -3 -4 -2 -3 -1 -1 0]
[ 0 1 0 0 -1 -2 -2 -1 -1 0 -1 0]
[ 0 0 1 -1 1 0 -1 0 -1 0 0 0]
Degree: 42
Hilbert function: 1 + 24 t + 110 t2 + 301 t3 + 639 t4 + 1166 t5 + 1924 t6 + 2955 t7 + 4301 t8 + 6004 t9 + 8106 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
139 ? x + y + z + 3*x-1 + x-1*y-1*z + 2*x-1*y-1 + x-2*z-1 + 4*x-2*y-1 + 2*x-3*y-1*z-1 + x-3*y-2 + x-4*y-2*z-1
155 ? x + y + z + 2*x-1 + x-1*y-1*z + 2*x-1*y-1 + x-2*z-1 + 2*x-2*y-1 + 2*x-3*y-1*z-1 + x-3*y-2 + x-4*y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 72 1 Lattice Minkowski decompositions of facet 72
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