Polytope 3909
Image of polytope 3909 PALP id: 3909
grdb id: 442425
Integer points: [ 1 0 0 -2 -1 -3 -3 -3 -3 -3 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 1 -2 0 -4 -3 -2 -1 -3 -2 -1 0 -1 0 1 -2 -1 0 -1 0]
[ 0 0 1 -2 2 -2 2 1 0 -1 2 1 0 -1 1 0 -1 1 0 -1 1 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 + 2*y-1*z + 2*x-1*y*z-1 + 6*x-1 + 5*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*z-1 + 4*x-1*y-1 + 2*x-1*y-2*z + x-2*y*z-2 + 6*x-2*z-1 + 11*x-2*y-1 + 8*x-2*y-2*z + 2*x-2*y-3*z2 + x-3*z-2 + 4*x-3*y-1*z-1 + 6*x-3*y-2 + 4*x-3*y-3*z + x-3*y-4*z2
59 rank 2, number 16 x + y + z + 2*y-1*z + 2*x-1*y*z-1 + 5*x-1 + 4*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*z-1 + 4*x-1*y-1 + 2*x-1*y-2*z + x-2*y*z-2 + 5*x-2*z-1 + 9*x-2*y-1 + 7*x-2*y-2*z + 2*x-2*y-3*z2 + x-3*z-2 + 4*x-3*y-1*z-1 + 6*x-3*y-2 + 4*x-3*y-3*z + x-3*y-4*z2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 259 1 Lattice Minkowski decompositions of facet 259
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
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