Polytope 4271
Image of polytope 4271 PALP id: 4271
grdb id: 257945
Integer points: [ 1 0 0 -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 1 0 2 2 -1 0 -4 -1 -2 -3 1 0 -1 -2 -3 1 0 -1 -2 1 0 0 -1 -2 1 0 -1]
[ 0 0 1 -1 -2 2 -2 2 -1 0 1 -2 -1 0 1 2 -1 0 1 2 0 1 -1 0 1 -1 0 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x + y + z + 2*y*z-1 + x-1*y2*z-1 + 3*x-1*y + 3*y-1*z + 3*x-1*z + x-1*y-1*z2 + x-1*y2*z-2 + 2*z-1 + 6*x-1*y*z-1 + 4*y-1 + 12*x-1 + 2*y-2*z + 10*x-1*y-1*z + 3*x-1*y-2*z2 + 2*x-1*y*z-2 + 9*x-1*z-1 + 15*x-1*y-1 + 11*x-1*y-2*z + 3*x-1*y-3*z2 + x-1*z-2 + 4*x-1*y-1*z-1 + 6*x-1*y-2 + 4*x-1*y-3*z + x-1*y-4*z2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 301 1 Lattice Minkowski decompositions of facet 301
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