Polytope 967
Image of polytope 967 PALP id: 967
grdb id: 420277
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 0 -1 0 -2 -1 0 -1 0 -1]
[ 0 0 1 -1 -1 1 0 1 0 0 0 0]
Degree: 32
Hilbert function: 1 + 19 t + 85 t2 + 231 t3 + 489 t4 + 891 t5 + 1469 t6 + 2255 t7 + 3281 t8 + 4579 t9 + 6181 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
145 ? x + y + z + x-1*z + 2*y-1 + 2*x-1 + x-1*y-1*z + x-1*z-1 + 3*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2
147 rank 4, number 5 x + y + z + x-1*z + 2*y-1 + 2*x-1 + x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 5 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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