Polytope 4199
Image of polytope 4199 PALP id: 4199
grdb id: 433689
Integer points: [ 1 0 0 1 -1 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 0 0 0 1]
[ 0 1 0 -2 2 3 -2 2 1 0 -1 1 0 -1 -2 0 -1 -2 2 1 0 -1 1 0 -1 -1]
[ 0 0 1 0 -2 -2 3 -1 0 1 2 -1 0 1 2 -1 0 1 -1 0 1 2 -1 0 1 0]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x + y + z + 2*y*z-1 + 2*x-1*y2*z-1 + 2*x*y-1 + 6*x-1*y + 4*y-1*z + 6*x-1*z + 2*x-1*y-1*z2 + x-1*y2*z-2 + x-2*y3*z-2 + 2*z-1 + 6*x-1*y*z-1 + 5*x-2*y2*z-1 + x*y-2 + 5*y-1 + 12*x-1 + 10*x-2*y + 3*y-2*z + 10*x-1*y-1*z + 10*x-2*z + 3*x-1*y-2*z2 + 5*x-2*y-1*z2 + x-2*y-2*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 129 1 Lattice Minkowski decompositions of facet 129
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 227 1 Lattice Minkowski decompositions of facet 227
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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