Polytope 3500
Image of polytope 3500 PALP id: 3500
grdb id: 140258
Integer points: [ 1 0 0 0 0 -1 -1 -3 -3 -2 -1 -3 -2 -1 0 -2 -1 -1 0]
[ 0 1 -1 0 -2 2 0 1 3 2 1 2 1 0 -1 0 -1 1 0]
[ 0 0 0 1 1 -1 -1 -2 -2 -1 0 -2 -1 0 1 -1 0 -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
52 rank 2, number 13 x + y + z + x-1*y2*z-1 + 3*x-1*y + 2*y-1*z + 3*x-1*y*z-1 + 3*x-2*y2*z-1 + y-1 + 6*x-1 + y-2*z + x-3*y3*z-2 + x-1*z-1 + 6*x-2*y*z-1 + 3*x-1*y-1 + 2*x-3*y2*z-2 + 3*x-2*z-1 + x-3*y*z-2
13 rank 2, number 12 x + y + z + x-1*y2*z-1 + 3*x-1*y + 2*y-1*z + 2*x-1*y*z-1 + 3*x-2*y2*z-1 + y-1 + 6*x-1 + y-2*z + x-3*y3*z-2 + x-1*z-1 + 6*x-2*y*z-1 + 3*x-1*y-1 + 2*x-3*y2*z-2 + 3*x-2*z-1 + x-3*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 20 2 Lattice Minkowski decompositions of facet 20
Image of facet 125 1 Lattice Minkowski decompositions of facet 125
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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