Polytope 1619
Image of polytope 1619 PALP id: 1619
grdb id: 500080
Integer points: [ 1 0 -2 1 0 -2 1 0 0 -1 -1 1 0 -1]
[ 0 1 1 -2 0 0 -3 -1 -2 0 -1 -1 0 1]
[ 0 0 0 0 1 -1 -1 0 -1 0 -1 0 0 0]
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
94 ? x + y + z + 2*x*y-1 + 2*x-1*y + x*y-2 + 2*y-1 + 2*x-1 + x-2*y + x*y-3*z-1 + 3*y-2*z-1 + 3*x-1*y-1*z-1 + x-2*z-1
91 ? x + y + z + 2*x*y-1 + 2*x-1*y + x*y-2 + 4*y-1 + 3*x-1 + x-2*y + x*y-3*z-1 + 3*y-2*z-1 + 3*x-1*y-1*z-1 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 4 irreducible and admissible
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 70 1 Lattice Minkowski decompositions of facet 70
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