Polytope 3660
Image of polytope 3660 PALP id: 3660
grdb id: 299797
Integer points: [ 1 0 0 0 -1 -3 -2 -5 -1 -3 -2 -1 -4 -3 -2 -4 -1 0 -2 -1]
[ 0 1 0 1 0 -2 -1 -4 0 -2 -1 0 -3 -2 -1 -3 -1 0 -2 -1]
[ 0 0 1 1 -1 -2 1 -2 1 0 0 0 -1 -1 -1 -2 0 0 -1 -1]
Degree: 26
Hilbert function: 1 + 16 t + 70 t2 + 189 t3 + 399 t4 + 726 t5 + 1196 t6 + 1835 t7 + 2669 t8 + 3724 t9 + 5026 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
46 ? y*z + x + y + z + 2*x-1*z + 4*x-1 + x-1*z-1 + 3*x-1*y-1 + x-2*y-1*z + 2*x-1*y-1*z-1 + 6*x-2*y-1 + 4*x-2*y-1*z-1 + 2*x-2*y-2*z-1 + 3*x-3*y-2 + 6*x-3*y-2*z-1 + x-3*y-2*z-2 + 3*x-4*y-3*z-1 + 2*x-4*y-3*z-2 + x-5*y-4*z-2
67 rank 3, number 10 y*z + x + y + z + 2*x-1*z + 5*x-1 + x-1*z-1 + 3*x-1*y-1 + x-2*y-1*z + 2*x-1*y-1*z-1 + 7*x-2*y-1 + 5*x-2*y-1*z-1 + 2*x-2*y-2*z-1 + 3*x-3*y-2 + 7*x-3*y-2*z-1 + x-3*y-2*z-2 + 3*x-4*y-3*z-1 + 2*x-4*y-3*z-2 + x-5*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 225 1 Lattice Minkowski decompositions of facet 225
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