Polytope 4052
Image of polytope 4052 PALP id: 4052
grdb id: 272829
Integer points: [ 1 0 0 1 -1 1 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 0 -1 -1 -1 0 0]
[ 0 1 0 0 1 -1 0 -4 -3 -2 -1 -3 -2 -1 0 -2 -1 0 -2 -1 0 -1 0]
[ 0 0 1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 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
10 rank 1, V18 x + y + z + x*z-1 + x-1*y + x*y-1*z-1 + 3*z-1 + 3*y-1 + 3*x-1 + 6*y-1*z-1 + 3*x-1*z-1 + 4*x-1*y-1 + 3*y-2*z-1 + 9*x-1*y-1*z-1 + x-2*z-1 + 2*x-1*y-2 + 9*x-1*y-2*z-1 + 4*x-2*y-1*z-1 + 3*x-1*y-3*z-1 + 6*x-2*y-2*z-1 + 4*x-2*y-3*z-1 + x-2*y-4*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
Image of facet 76 1 Lattice Minkowski decompositions of facet 76
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