Polytope 3872
Image of polytope 3872 PALP id: 3872
grdb id: 28187
Integer points: [ 1 0 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 0 -1 -1 2 -2 1 -2 2 -1 0 -1 0 1 0 1 -1 0 1]
[ 0 0 1 -1 0 -2 1 -1 2 -2 2 0 1 -1 0 1 -1 0 -1 0 1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
20 rank 1, V16 x-1*y2*z2 + 2*y*z + x-1*y2*z + x-1*y*z2 + x + y + z + 4*x-1*y*z + 3*x-1*y + 3*x-1*z + z-1 + y-1 + 6*x-1 + 2*y-1*z-1 + 3*x-1*z-1 + 3*x-1*y-1 + 4*x-1*y-1*z-1 + x-1*y-1*z-2 + x-1*y-2*z-1 + x-1*y-2*z-2
40 rank 2, number 10 x-1*y2*z2 + 2*y*z + x-1*y2*z + x-1*y*z2 + x + y + z + 5*x-1*y*z + 3*x-1*y + 3*x-1*z + z-1 + y-1 + 8*x-1 + 2*y-1*z-1 + 3*x-1*z-1 + 3*x-1*y-1 + 5*x-1*y-1*z-1 + x-1*y-1*z-2 + x-1*y-2*z-1 + x-1*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 20 2 Lattice Minkowski decompositions of facet 20
Image of facet 11 4 Lattice Minkowski decompositions of facet 11
Image of facet 188 1 Lattice Minkowski decompositions of facet 188
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