Polytope 728
Image of polytope 728 PALP id: 728
grdb id: 674686
Integer points: [ 1 0 0 0 0 -1 0 -1 -1 -1 0]
[ 0 1 0 0 -1 0 1 1 0 -1 0]
[ 0 0 1 -1 0 0 -1 0 1 1 0]
Degree: 30
Hilbert function: 1 + 18 t + 80 t2 + 217 t3 + 459 t4 + 836 t5 + 1378 t6 + 2115 t7 + 3077 t8 + 4294 t9 + 5796 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
50 ? x + y + z + y*z-1 + x-1*y + x-1*z + z-1 + y-1 + x-1 + x-1*y-1*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 6 irreducible and admissible
Image of facet 3 5 Lattice Minkowski decompositions of facet 3
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