Polytope 4224
Image of polytope 4224 PALP id: 4224
grdb id: 68371
Integer points: [ 1 0 0 1 0 -2 1 -3 1 -2 -1 0 -2 -1 0 1 -1 0 1 -1 0 1 -1 0 1 1]
[ 0 1 0 0 -1 2 -2 2 -2 1 0 -1 1 0 -1 -2 0 -1 -2 1 0 -1 1 0 -1 -1]
[ 0 0 1 -1 1 1 0 1 -3 0 -1 -2 1 0 -1 -2 1 0 -1 0 -1 -2 1 0 -1 0]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x + y + z + 2*x-1*y*z + x-2*y2*z + x*z-1 + 2*x*y-1 + 4*x-1*y + y-1*z + 3*x-1*z + 3*x-2*y*z + x-3*y2*z + 4*x*y-1*z-1 + 5*z-1 + x*y-2 + 6*y-1 + 9*x-1 + 4*x-2*y + 2*x*y-1*z-2 + 3*x*y-2*z-1 + 9*y-1*z-1 + 6*x-1*z-1 + 3*x*y-2*z-2 + 4*y-1*z-2 + x*y-2*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 107 1 Lattice Minkowski decompositions of facet 107
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
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