Polytope 3788
Image of polytope 3788 PALP id: 3788
grdb id: 443493
Integer points: [ 1 0 0 0 0 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
[ 0 1 0 1 -2 1 -2 -1 0 -1 0 1 -2 -1 0 1 -1 0 1 -1 0]
[ 0 0 1 -2 1 -2 1 0 -1 1 0 -1 1 0 -1 -2 1 0 -1 0 -1]
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
40 rank 2, number 10 x + y + z + 2*y*z-1 + 2*y-1*z + y*z-2 + 3*z-1 + 2*x-1*y*z-1 + 3*y-1 + 4*x-1 + y-2*z + 2*x-1*y-1*z + 2*x-1*y*z-2 + 6*x-1*z-1 + 6*x-1*y-1 + 2*x-1*y-2*z + x-2*y*z-2 + 3*x-2*z-1 + 3*x-2*y-1 + x-2*y-2*z
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 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 9 1 irreducible and admissible
Image of facet 125 1 Lattice Minkowski decompositions of facet 125
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