Polytope 4167
Image of polytope 4167 PALP id: 4167
grdb id: 264850
Integer points: [ 1 0 0 -3 3 2 0 -4 -3 -2 -1 -2 -1 0 1 0 1 2 -2 -1 -1 0 1 1 2]
[ 0 1 0 3 -4 -3 -1 3 2 1 0 1 0 -1 -2 -1 -2 -3 2 1 1 0 -1 -1 -2]
[ 0 0 1 1 -2 -2 1 1 1 1 1 0 0 0 0 -1 -1 -1 1 1 0 0 0 -1 -1]
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 + 3*x-1*y*z + 3*x-2*y2*z + x-3*y3*z + 3*x*y-1 + 3*x-1*y + y-1*z + 4*x-1*z + 6*x-2*y*z + 4*x-3*y2*z + x-4*y3*z + 2*x2*y-2*z-1 + 2*x*y-1*z-1 + 3*x*y-2 + 9*y-1 + 9*x-1 + 3*x-2*y + 3*x2*y-3*z-1 + 6*x*y-2*z-1 + 3*y-1*z-1 + x3*y-4*z-2 + x2*y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
Image of facet 25 2 Lattice Minkowski decompositions of facet 25
Image of facet 90 1 Lattice Minkowski decompositions of facet 90
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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