Polytope 4211
Image of polytope 4211 PALP id: 4211
grdb id: 433064
Integer points: [ 1 0 0 -1 -2 -3 -3 -3 -3 -3 -3 -3 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 -2 2 2 -4 -3 -2 -1 0 1 -3 -2 -1 0 1 -1 0 1 -2 -1 0 1 -1 0]
[ 0 0 1 0 -1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 0 0]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
39 ? x + y + z + 2*x-1*y + 2*x-1*y*z-1 + x-2*y2*z-1 + 2*y-1 + 6*x-1 + 6*x-1*z-1 + 7*x-2*y*z-1 + 5*x-1*y-1 + x-3*y2*z-2 + 6*x-1*y-1*z-1 + 17*x-2*z-1 + x-1*y-2 + 6*x-3*y*z-2 + 2*x-1*y-2*z-1 + 19*x-2*y-1*z-1 + 15*x-3*z-2 + 10*x-2*y-2*z-1 + 20*x-3*y-1*z-2 + 2*x-2*y-3*z-1 + 15*x-3*y-2*z-2 + 6*x-3*y-3*z-2 + x-3*y-4*z-2
52 rank 2, number 13 x + y + z + 2*x-1*y + 2*x-1*y*z-1 + x-2*y2*z-1 + 2*y-1 + 5*x-1 + 6*x-1*z-1 + 6*x-2*y*z-1 + 4*x-1*y-1 + x-3*y2*z-2 + 6*x-1*y-1*z-1 + 14*x-2*z-1 + x-1*y-2 + 6*x-3*y*z-2 + 2*x-1*y-2*z-1 + 16*x-2*y-1*z-1 + 15*x-3*z-2 + 9*x-2*y-2*z-1 + 20*x-3*y-1*z-2 + 2*x-2*y-3*z-1 + 15*x-3*y-2*z-2 + 6*x-3*y-3*z-2 + x-3*y-4*z-2
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 294 1 Lattice Minkowski decompositions of facet 294
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
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