Polytope 3143
Image of polytope 3143 PALP id: 3143
grdb id: 338018
Integer points: [ 1 0 0 -1 1 -2 1 0 1 0 -1 0 -1 1 0 1 0 -1]
[ 0 1 0 1 -2 1 -4 -3 -3 -2 -1 -1 0 -2 -1 -1 0 1]
[ 0 0 1 1 0 0 -2 -2 -1 -1 -1 0 0 -1 -1 0 0 0]
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
31 rank 3, number 3 x + y + z + x-1*y*z + 2*x*y-1 + 2*x-1*y + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + 2*x*y-2*z-1 + 2*y-1*z-1 + 2*x*y-3*z-1 + 4*y-2*z-1 + 2*x-1*y-1*z-1 + x*y-4*z-2 + y-3*z-2
10 rank 1, V18 x + y + z + x-1*y*z + 2*x*y-1 + 2*x-1*y + x*y-2 + 3*y-1 + 2*x-1 + x-2*y + 2*x*y-2*z-1 + 2*y-1*z-1 + 2*x*y-3*z-1 + 3*y-2*z-1 + 2*x-1*y-1*z-1 + x*y-4*z-2 + 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 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
Image of facet 143 1 Lattice Minkowski decompositions of facet 143
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