Polytope 3739
Image of polytope 3739 PALP id: 3739
grdb id: 524375
Integer points: [ 1 1 0 -1 -1 -4 -3 -2 -3 -2 -1 -2 -1 -2 -1 0 -1 0 1 0 1]
[ 0 3 0 0 -3 -6 -4 -2 -5 -3 -1 -4 -2 -3 -1 1 -2 0 2 -1 1]
[ 0 0 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
22 rank 3, number 1 x*y3 + 3*x*y2 + 3*x*y + x + 3*y + z + 3*y-1 + x-1*z-1 + 3*x-1*y-1 + 3*x-1*y-1*z-1 + 3*x-1*y-2 + 3*x-1*y-2*z-1 + x-1*y-3*z-1 + 3*x-2*y-2*z-1 + 2*x-2*y-3 + 6*x-2*y-3*z-1 + 3*x-2*y-4*z-1 + 3*x-3*y-4*z-1 + 3*x-3*y-5*z-1 + x-4*y-6*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 56 2 Lattice Minkowski decompositions of facet 56
Image of facet 9 1 irreducible and admissible
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 60 1 Lattice Minkowski decompositions of facet 60
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