Polytope 4039
Image of polytope 4039 PALP id: 4039
grdb id: 438565
Integer points: [ 1 0 0 0 -3 -2 -7 -3 -4 -5 -6 -1 -2 -3 -4 -5 -1 -2 -1 -2 -3 0 -1]
[ 0 1 0 -1 0 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 -1 -1 -1 0 0]
[ 0 0 1 1 -2 1 -4 0 -1 -2 -3 1 0 -1 -2 -3 0 -1 0 -1 -2 0 -1]
Degree: 26
Hilbert function: 1 + 16 t + 70 t2 + 189 t3 + 399 t4 + 726 t5 + 1196 t6 + 1835 t7 + 2669 t8 + 3724 t9 + 5026 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
46 ? x + y + z + y-1*z + 4*x-1 + 2*x-1*y-1*z + 2*x-1*z-1 + 4*x-1*y-1 + 4*x-2*z-1 + 8*x-2*y-1 + x-2*y-2*z + 5*x-2*y-1*z-1 + x-3*z-2 + 12*x-3*y-1*z-1 + 5*x-3*y-2 + 2*x-3*y-1*z-2 + 8*x-4*y-1*z-2 + 10*x-4*y-2*z-1 + 2*x-5*y-1*z-3 + 10*x-5*y-2*z-2 + 5*x-6*y-2*z-3 + x-7*y-2*z-4
67 rank 3, number 10 x + y + z + y-1*z + 5*x-1 + 2*x-1*y-1*z + 2*x-1*z-1 + 4*x-1*y-1 + 5*x-2*z-1 + 9*x-2*y-1 + x-2*y-2*z + 5*x-2*y-1*z-1 + x-3*z-2 + 14*x-3*y-1*z-1 + 5*x-3*y-2 + 2*x-3*y-1*z-2 + 9*x-4*y-1*z-2 + 10*x-4*y-2*z-1 + 2*x-5*y-1*z-3 + 10*x-5*y-2*z-2 + 5*x-6*y-2*z-3 + x-7*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 257 1 Lattice Minkowski decompositions of facet 257
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