Polytope 4041
Image of polytope 4041 PALP id: 4041
grdb id: 275510
Integer points: [ 1 0 0 -3 2 1 -2 4 0 2 -1 1 3 0 2 -1 1 3 -2 0 2 -1 1]
[ 0 1 0 3 -1 -2 1 -5 -1 -3 0 -2 -4 -1 -3 1 -1 -3 2 0 -2 1 -1]
[ 0 0 1 1 -1 0 0 -3 -1 -2 0 -1 -2 0 -1 0 -1 -2 1 0 -1 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 + 3*x-1*y*z + 3*x-2*y2*z + x-3*y3*z + x2*y-1*z-1 + 3*x*y-1 + 3*x-1*y + 4*x2*y-2*z-1 + 4*x*y-1*z-1 + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + 2*x3*y-3*z-2 + 3*x2*y-3*z-1 + 6*x*y-2*z-1 + 3*y-1*z-1 + 3*x3*y-4*z-2 + 3*x2*y-3*z-2 + x4*y-5*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 82 2 Lattice Minkowski decompositions of facet 82
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 60 1 Lattice Minkowski decompositions of facet 60
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