Polytope 3173
Image of polytope 3173 PALP id: 3173
grdb id: 333422
Integer points: [ 1 0 0 1 -1 1 -2 -3 -2 -1 0 -2 -1 0 -1 0 -1 0]
[ 0 1 0 0 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 0 1 -1 1 -1 -1 -1 -1 -1 -1 0 0 0 -1 -1 0 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
52 rank 2, number 13 x + y + z + x*z-1 + x*y-1*z-1 + 3*z-1 + 2*y-1 + 2*x-1 + x-1*y-1*z + 4*y-1*z-1 + 3*x-1*z-1 + 4*x-1*y-1 + 6*x-1*y-1*z-1 + x-2*z-1 + 2*x-2*y-1 + 4*x-2*y-1*z-1 + x-3*y-1*z-1
39 ? x + y + z + x*z-1 + x*y-1*z-1 + 3*z-1 + 2*y-1 + 3*x-1 + x-1*y-1*z + 4*y-1*z-1 + 3*x-1*z-1 + 4*x-1*y-1 + 6*x-1*y-1*z-1 + x-2*z-1 + 2*x-2*y-1 + 4*x-2*y-1*z-1 + x-3*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 9 1 irreducible and admissible
Image of facet 90 1 Lattice Minkowski decompositions of facet 90
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
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