Polytope 1784
Image of polytope 1784 PALP id: 1784
grdb id: 236686
Integer points: [ 1 0 0 0 1 0 -1 -2 -2 -1 0 -1 0 -1]
[ 0 1 0 0 -1 -1 -1 0 1 0 -1 0 0 1]
[ 0 0 1 -1 0 1 0 -1 -2 0 0 -1 0 -1]
Degree: 22
Hilbert function: 1 + 14 t + 60 t2 + 161 t3 + 339 t4 + 616 t5 + 1014 t6 + 1555 t7 + 2261 t8 + 3154 t9 + 4256 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
59 rank 2, number 16 x + y + z + x*y-1 + y-1*z + z-1 + 2*x-1*y*z-1 + 2*y-1 + 2*x-1 + 2*x-1*z-1 + x-1*y-1 + x-2*y*z-2 + x-2*z-1
128 ? x + y + z + x*y-1 + y-1*z + z-1 + 2*x-1*y*z-1 + 2*y-1 + 2*x-1 + 3*x-1*z-1 + x-1*y-1 + x-2*y*z-2 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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