Polytope 4177
Image of polytope 4177 PALP id: 4177
grdb id: 262832
Integer points: [ 1 0 0 0 -1 -1 -3 -3 -3 -3 -3 -3 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 -1 2 -2 3 -2 2 1 0 -1 2 1 0 -1 -2 1 0 -1 1 0 -1 0 -1]
[ 0 0 1 1 -1 0 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 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
10 rank 1, V18 x + y + z + x-1*y2*z-1 + 3*x-1*y + y-1*z + 4*x-1*y*z-1 + 3*x-2*y2*z-1 + 2*y-1 + 7*x-1 + x-3*y3*z-2 + 5*x-1*z-1 + 11*x-2*y*z-1 + 5*x-1*y-1 + 5*x-3*y2*z-2 + 2*x-1*y-1*z-1 + 15*x-2*z-1 + x-1*y-2 + 10*x-3*y*z-2 + 9*x-2*y-1*z-1 + 10*x-3*z-2 + 2*x-2*y-2*z-1 + 5*x-3*y-1*z-2 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
Image of facet 271 1 Lattice Minkowski decompositions of facet 271
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