Polytope 4128
Image of polytope 4128 PALP id: 4128
grdb id: 266401
Integer points: [ 1 0 0 -1 -1 -1 -3 -3 -3 -3 -3 -3 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 1 1 -2 1 -4 -3 -2 -1 0 -3 -2 -1 0 1 -1 0 -2 -1 0 -1 0]
[ 0 0 1 0 -1 0 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 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 + x-1*y*z-1 + 2*y-1 + 4*x-1 + 4*x-1*z-1 + 2*x-2*y*z-1 + 4*x-1*y-1 + 5*x-1*y-1*z-1 + 8*x-2*z-1 + x-1*y-2 + x-3*y*z-2 + 2*x-1*y-2*z-1 + 12*x-2*y-1*z-1 + 5*x-3*z-2 + 8*x-2*y-2*z-1 + 10*x-3*y-1*z-2 + 2*x-2*y-3*z-1 + 10*x-3*y-2*z-2 + 5*x-3*y-3*z-2 + x-3*y-4*z-2
146 rank 3, number 6 x + y + z + x-1*y + x-1*y*z-1 + 2*y-1 + 5*x-1 + 4*x-1*z-1 + 2*x-2*y*z-1 + 5*x-1*y-1 + 5*x-1*y-1*z-1 + 9*x-2*z-1 + x-1*y-2 + x-3*y*z-2 + 2*x-1*y-2*z-1 + 14*x-2*y-1*z-1 + 5*x-3*z-2 + 9*x-2*y-2*z-1 + 10*x-3*y-1*z-2 + 2*x-2*y-3*z-1 + 10*x-3*y-2*z-2 + 5*x-3*y-3*z-2 + x-3*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 257 1 Lattice Minkowski decompositions of facet 257
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
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