Polytope 4027
Image of polytope 4027 PALP id: 4027
grdb id: 439692
Integer points: [ 1 0 0 -1 -2 0 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 1 0 1 0 -3 -5 -1 -2 -3 -4 0 -1 -2 0 -1 -2 -3 -4 0 -1 -1 -2]
[ 0 0 1 1 1 -2 -4 0 -1 -2 -3 0 -1 -2 1 0 -1 -2 -3 0 -1 0 -1]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
13 rank 2, number 12 x + y + z + x-1*y*z + 2*x-1*z + 3*y-1 + 4*x-1 + x-2*z + 2*y-1*z-1 + 8*x-1*y-1 + 3*y-2*z-1 + 5*x-1*y-1*z-1 + 5*x-2*y-1 + 12*x-1*y-2*z-1 + y-3*z-2 + 2*x-1*y-2*z-2 + 10*x-2*y-2*z-1 + 8*x-1*y-3*z-2 + 10*x-2*y-3*z-2 + 2*x-1*y-4*z-3 + 5*x-2*y-4*z-3 + x-2*y-5*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 1 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
Image of facet 216 1 Lattice Minkowski decompositions of facet 216
Image of facet 9 1 irreducible and admissible
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