Polytope 3966
Image of polytope 3966 PALP id: 3966
grdb id: 95245
Integer points: [ 1 0 0 0 1 -2 1 -2 0 -1 -1 0 0 0 1 1 -1 -1 -1 0 0 1]
[ 0 1 0 -2 0 1 -2 0 1 0 1 -1 0 1 -1 0 -1 0 1 -1 0 -1]
[ 0 0 1 1 -2 0 0 1 -2 1 0 1 0 -1 0 -1 1 0 -1 0 -1 -1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x + y + z + 2*x*z-1 + 2*y*z-1 + 2*x*y-1 + 2*x-1*y + 2*y-1*z + 2*x-1*z + x*z-2 + y*z-2 + 2*x*y-1*z-1 + 4*z-1 + 2*x-1*y*z-1 + x*y-2 + 4*y-1 + 4*x-1 + x-2*y + y-2*z + 2*x-1*y-1*z + x-2*z
22 rank 3, number 1 x + y + z + 2*x*z-1 + 2*y*z-1 + 2*x*y-1 + 2*x-1*y + 2*y-1*z + 2*x-1*z + x*z-2 + y*z-2 + 2*x*y-1*z-1 + 5*z-1 + 2*x-1*y*z-1 + x*y-2 + 5*y-1 + 5*x-1 + x-2*y + y-2*z + 2*x-1*y-1*z + x-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 16 3 Lattice Minkowski decompositions of facet 16
Image of facet 164 1 Lattice Minkowski decompositions of facet 164
Image of facet 15 3 Lattice Minkowski decompositions of facet 15
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