Polytope 2539
Image of polytope 2539 PALP id: 2539
grdb id: 359406
Integer points: [ 1 0 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0]
[ 0 1 -1 0 -1 2 -1 -1 -1 -1 0 0 0 1 1 0]
[ 0 0 0 1 1 -1 -1 2 0 1 -1 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
13 rank 2, number 12 x + y + z + x-1*y2*z-1 + 3*x-1*y + y-1*z + 3*x-1*z + x-1*y-1*z2 + 3*x-1*y*z-1 + y-1 + 6*x-1 + 3*x-1*y-1*z + 3*x-1*z-1 + 3*x-1*y-1 + x-1*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 9 1 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 20 2 Lattice Minkowski decompositions of facet 20
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
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