Polytope 3419
Image of polytope 3419 PALP id: 3419
grdb id: 315934
Integer points: [ 1 0 0 -1 0 0 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 1 -1 -1 1 -3 -2 -1 0 -2 -1 0 -2 -1 0 -1 0]
[ 0 0 1 0 -1 1 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 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
17 rank 1, V22 x + y + z + x-1*y + y-1*z + 2*y-1 + 4*x-1 + y-1*z-1 + 2*x-1*z-1 + x-2*y*z-1 + 5*x-1*y-1 + 4*x-1*y-1*z-1 + 4*x-2*z-1 + 2*x-1*y-2 + 2*x-1*y-2*z-1 + 6*x-2*y-1*z-1 + 4*x-2*y-2*z-1 + x-2*y-3*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 107 1 Lattice Minkowski decompositions of facet 107
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