Polytope 4111
Image of polytope 4111 PALP id: 4111
grdb id: 436667
Integer points: [ 1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 0 -2 2 -4 -3 -2 -1 0 1 -2 -1 0 1 -3 -2 -1 0 1 -1 0 -1]
[ 0 0 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 -1 -1 -1 -1 -1 0 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 + 2*x-1*y + z-1 + 2*x-1*y*z-1 + x-2*y2*z-1 + 2*y-1 + 6*x-1 + 2*y-1*z-1 + 8*x-1*z-1 + 6*x-2*y*z-1 + 6*x-1*y-1 + y-2*z-1 + 12*x-1*y-1*z-1 + 15*x-2*z-1 + 2*x-1*y-2 + 8*x-1*y-2*z-1 + 20*x-2*y-1*z-1 + 2*x-1*y-3*z-1 + 15*x-2*y-2*z-1 + 6*x-2*y-3*z-1 + x-2*y-4*z-1
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 212 1 Lattice Minkowski decompositions of facet 212
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
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