Polytope 1798
Image of polytope 1798 PALP id: 1798
grdb id: 235966
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 0 0 -1]
[ 0 1 0 1 0 0 -2 -1 -2 -1 0 -1 0 -1]
[ 0 0 1 0 -1 1 0 1 -1 0 0 0 0 -1]
Degree: 28
Hilbert function: 1 + 17 t + 75 t2 + 203 t3 + 429 t4 + 781 t5 + 1287 t6 + 1975 t7 + 2873 t8 + 4009 t9 + 5411 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
114 rank 5, number 1 x + y + z + x-1*y + x-1*z + 2*y-1 + 3*x-1 + x-1*y-1*z + x-1*z-1 + 4*x-1*y-1 + 2*x-1*y-1*z-1 + x-1*y-2 + x-1*y-2*z-1
144 rank 3, number 12 x + y + z + x-1*y + x-1*z + 2*y-1 + 2*x-1 + x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + x-1*y-2 + x-1*y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 72 1 Lattice Minkowski decompositions of facet 72
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