Polytope 4272
Image of polytope 4272 PALP id: 4272
grdb id: 257862
Integer points: [ 1 0 0 -1 0 -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 1 1 -1 1 -4 0 -2 -1 0 1 -3 -2 -1 0 1 -3 -2 -1 0 -1 0 1 -2 -1 0]
[ 0 0 1 0 -2 2 -3 2 1 2 1 0 -1 2 1 0 -1 -2 1 0 -1 -2 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*y + 3*y-1*z + 2*x-1*z + x-1*y-1*z2 + y*z-2 + 4*z-1 + 3*x-1*y*z-1 + 5*y-1 + 9*x-1 + 2*y-2*z + 9*x-1*y-1*z + 3*x-1*y-2*z2 + 3*x-1*y*z-2 + 12*x-1*z-1 + 18*x-1*y-1 + 12*x-1*y-2*z + 3*x-1*y-3*z2 + x-1*y*z-3 + 5*x-1*z-2 + 10*x-1*y-1*z-1 + 10*x-1*y-2 + 5*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 1 1 irreducible and admissible
Image of facet 277 1 Lattice Minkowski decompositions of facet 277
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
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 44 1 Lattice Minkowski decompositions of facet 44
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