Polytope 3133
Image of polytope 3133 PALP id: 3133
grdb id: 338175
Integer points: [ 1 0 0 -1 1 1 -2 1 0 1 0 -1 1 0 0 -1 0 -1]
[ 0 1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1 0 0]
[ 0 0 1 1 -2 -1 0 -3 0 -2 -1 0 -1 0 -2 -1 -1 0]
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 + 2*x*z-1 + x*z-2 + x*y-1*z-1 + 3*z-1 + 2*y-1 + 2*x-1 + x-1*y-1*z + 2*x*y-1*z-2 + 4*y-1*z-1 + 2*x-1*y-1 + x*y-1*z-3 + 3*y-1*z-2 + 3*x-1*y-1*z-1 + x-2*y-1
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 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 78 1 Lattice Minkowski decompositions of facet 78
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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