Polytope 4291
Image of polytope 4291 PALP id: 4291
grdb id: 431051
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0]
[ 0 1 1 1 1 -2 -2 1 1 1 0 0 0 0 0 -1 -1 -1 -1 -1 -2 -2 -2 1 0 0 0 -1 -1 -1]
[ 0 0 2 3 -1 -4 0 2 1 0 2 1 0 -1 -2 1 0 -1 -2 -3 -1 -2 -3 1 1 0 -1 0 -1 -2]
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 y*z2 + x-1*y*z3 + 2*y*z + 4*x-1*y*z2 + x + y + 3*z + 6*x-1*y*z + 3*x-1*z2 + 4*x-1*y + 12*x-1*z + 3*z-1 + x-1*y*z-1 + 2*y-1 + 18*x-1 + 3*x-1*y-1*z + 4*y-1*z-1 + 12*x-1*z-1 + 12*x-1*y-1 + 2*y-1*z-2 + 3*x-1*z-2 + 18*x-1*y-1*z-1 + x-1*y-2 + 12*x-1*y-1*z-2 + 4*x-1*y-2*z-1 + 3*x-1*y-1*z-3 + 6*x-1*y-2*z-2 + 4*x-1*y-2*z-3 + x-1*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 1 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 309 1 Lattice Minkowski decompositions of facet 309
Image of facet 25 2 Lattice Minkowski decompositions of facet 25
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