Polytope 3834
Image of polytope 3834 PALP id: 3834
grdb id: 111798
Integer points: [ 1 0 0 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 -2 1 2 -2 -3 2 -2 -1 0 1 -1 0 1 -1 0 -1 0 1]
[ 0 0 1 1 -2 -2 2 2 -3 1 0 -1 -2 1 0 -1 0 -1 1 0 -1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
151 rank 3, number 4 x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 5*x-1*y*z-1 + 8*x-1 + 5*x-1*y-1*z + x-1*y-2*z2 + x-1*y*z-2 + 3*x-1*z-1 + 3*x-1*y-1 + x-1*y-2*z + x-2*y2*z-3 + 5*x-2*y*z-2 + 10*x-2*z-1 + 10*x-2*y-1 + 5*x-2*y-2*z + x-2*y-3*z2
31 rank 3, number 3 x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 4*x-1*y*z-1 + 6*x-1 + 4*x-1*y-1*z + x-1*y-2*z2 + x-1*y*z-2 + 3*x-1*z-1 + 3*x-1*y-1 + x-1*y-2*z + x-2*y2*z-3 + 5*x-2*y*z-2 + 10*x-2*z-1 + 10*x-2*y-1 + 5*x-2*y-2*z + x-2*y-3*z2
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 146 1 Lattice Minkowski decompositions of facet 146
Image of facet 9 1 irreducible and admissible
Image of facet 186 1 Lattice Minkowski decompositions of facet 186
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
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