Polytope 3111
Image of polytope 3111 PALP id: 3111
grdb id: 464458
Integer points: [ 1 0 0 0 -1 -2 -2 -2 -1 -1 -1 0 0 -1 -1 0 0 0]
[ 0 1 0 -3 2 3 1 2 -1 0 1 -2 -1 1 2 -1 0 1]
[ 0 0 1 -2 2 2 0 1 -1 0 1 -1 0 0 1 -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
20 rank 1, V16 x-1*y2*z2 + x-2*y3*z2 + 2*y*z + 2*x-1*y2*z + x + y + z + 4*x-1*y*z + 2*x-2*y2*z + 2*x-1*y + 3*y-1 + 5*x-1 + x-2*y + 2*y-1*z-1 + 3*y-2*z-1 + 2*x-1*y-1*z-1 + y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 2 irreducible and admissible
Image of facet 108 1 Lattice Minkowski decompositions of facet 108
Image of facet 9 1 irreducible and admissible
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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