Polytope 1132
Image of polytope 1132 PALP id: 1132
grdb id: 539540
Integer points: [ 1 0 0 -2 -2 1 -1 0 -1 -2 -1 1 0]
[ 0 1 1 -1 -1 2 0 1 0 -1 0 1 0]
[ 0 0 2 -2 0 2 -1 1 0 -1 1 1 0]
Degree: 28
Hilbert function: 1 + 17 t + 75 t2 + 203 t3 + 429 t4 + 781 t5 + 1287 t6 + 1975 t7 + 2873 t8 + 4009 t9 + 5411 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
8 ? x*y2*z2 + 2*x*y*z + y*z2 + 3*y*z + x + y + 2*x-1*z + 4*x-1 + 2*x-1*z-1 + x-2*y-1 + 2*x-2*y-1*z-1 + x-2*y-1*z-2
32 rank 4, number 2 x*y2*z2 + 2*x*y*z + y*z2 + 4*y*z + x + y + 2*x-1*z + 5*x-1 + 2*x-1*z-1 + x-2*y-1 + 2*x-2*y-1*z-1 + x-2*y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 5 irreducible and admissible
Image of facet 81 1 Lattice Minkowski decompositions of facet 81
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