Polytope 3365
Image of polytope 3365 PALP id: 3365
grdb id: 456769
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 1 0 1 -1 -2 -4 0 -1 0 -1 -2 -3 -2 -3 0 -1 -1 -2]
[ 0 0 1 1 1 -2 -2 0 -1 1 0 -1 -2 0 -1 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
17 rank 1, V22 x + y + z + x-1*y*z + 2*x-1*z + 3*y-1 + 3*x-1 + x-1*y-1*z + 2*y-1*z-1 + 6*x-1*y-1 + 2*y-2*z-1 + 3*x-1*y-1*z-1 + 3*x-1*y-2 + 6*x-1*y-2*z-1 + x-1*y-2*z-2 + 3*x-1*y-3*z-1 + 2*x-1*y-3*z-2 + x-1*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 2 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 9 1 irreducible and admissible
Image of facet 125 1 Lattice Minkowski decompositions of facet 125
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