Polytope 4067
Image of polytope 4067 PALP id: 4067
grdb id: 86200
Integer points: [ 1 0 0 0 0 -1 -1 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 -1 -1 -1 0 0]
[ 0 1 0 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
[ 0 0 1 1 -1 -2 2 2 -3 1 0 -1 -2 1 0 -1 -2 0 1 0 -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
10 rank 1, V18 x + y + z + y-1*z + 2*x-1*z + x-1*y-1*z2 + 2*z-1 + 2*y-1 + 5*x-1 + 5*x-1*y-1*z + x-2*y-1*z2 + y-1*z-1 + 4*x-1*z-1 + 9*x-1*y-1 + 5*x-2*y-1*z + x-1*z-2 + 7*x-1*y-1*z-1 + 10*x-2*y-1 + 2*x-1*y-1*z-2 + 10*x-2*y-1*z-1 + 5*x-2*y-1*z-2 + x-2*y-1*z-3
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 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
Image of facet 201 1 Lattice Minkowski decompositions of facet 201
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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