Polytope 3781
Image of polytope 3781 PALP id: 3781
grdb id: 446309
Integer points: [ 1 0 0 0 -1 -2 -4 -1 -2 -3 0 -1 -2 -3 0 -1 -2 -1 0 -1 0]
[ 0 1 0 -3 -2 3 4 1 2 3 -1 0 1 2 -2 -1 0 2 0 1 -1]
[ 0 0 1 1 0 -2 -3 0 -1 -2 1 0 -1 -2 1 0 -1 -1 0 -1 0]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
62 rank 2, number 9 x + y + z + 2*x-1*y2*z-1 + 4*x-1*y + 3*y-1*z + x-2*y3*z-2 + 3*x-1*y*z-1 + 6*x-2*y2*z-1 + 2*y-1 + 9*x-1 + 3*y-2*z + 4*x-3*y3*z-2 + 9*x-2*y*z-1 + 6*x-1*y-1 + y-3*z + x-4*y4*z-3 + 3*x-3*y2*z-2 + 3*x-2*z-1 + x-1*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 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 9 1 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
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