Polytope 3932
Image of polytope 3932 PALP id: 3932
grdb id: 281846
Integer points: [ 1 0 0 1 0 -1 -2 -2 -1 -1 -1 0 0 0 1 -2 -2 -1 -1 -1 0 0]
[ 0 1 0 -2 -2 2 0 3 0 1 2 -1 0 1 -1 1 2 -1 0 1 -1 0]
[ 0 0 1 0 1 -2 1 -2 1 0 -1 1 0 -1 0 0 -1 1 0 -1 0 -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
11 rank 2, number 6 x + y + z + 2*y*z-1 + 2*x-1*y2*z-1 + 2*x*y-1 + 4*x-1*y + 2*y-1*z + 2*x-1*z + x-1*y2*z-2 + x-2*y3*z-2 + 2*z-1 + 4*x-1*y*z-1 + 3*x-2*y2*z-1 + x*y-2 + 3*y-1 + 5*x-1 + 3*x-2*y + y-2*z + 2*x-1*y-1*z + x-2*z
7 rank 1, V12 x + y + z + 2*y*z-1 + 2*x-1*y2*z-1 + 2*x*y-1 + 4*x-1*y + 2*y-1*z + 2*x-1*z + x-1*y2*z-2 + x-2*y3*z-2 + 2*z-1 + 5*x-1*y*z-1 + 3*x-2*y2*z-1 + x*y-2 + 4*y-1 + 6*x-1 + 3*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 2 Lattice Minkowski decompositions of facet 16
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 155 1 Lattice Minkowski decompositions of facet 155
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
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