Polytope 2333
Image of polytope 2333 PALP id: 2333
grdb id: 61316
Integer points: [ 1 0 0 0 0 -1 -1 -1 -1 -2 -2 -2 -1 -1 0]
[ 0 1 0 0 -1 0 0 -1 -1 -1 -1 -1 0 -1 0]
[ 0 0 1 -1 0 1 -1 -1 1 1 -1 0 0 0 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
144 rank 3, number 12 x + y + z + x-1*z + z-1 + y-1 + 2*x-1 + x-1*y-1*z + x-1*z-1 + 3*x-1*y-1 + x-2*y-1*z + x-1*y-1*z-1 + 2*x-2*y-1 + x-2*y-1*z-1
8 ? x + y + z + x-1*z + z-1 + y-1 + 2*x-1 + x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + x-2*y-1*z + x-1*y-1*z-1 + 2*x-2*y-1 + x-2*y-1*z-1
32 rank 4, number 2 x + y + z + x-1*z + z-1 + y-1 + 3*x-1 + x-1*y-1*z + x-1*z-1 + 2*x-1*y-1 + x-2*y-1*z + x-1*y-1*z-1 + 2*x-2*y-1 + x-2*y-1*z-1
159 ? x + y + z + x-1*z + z-1 + y-1 + 3*x-1 + x-1*y-1*z + x-1*z-1 + 3*x-1*y-1 + x-2*y-1*z + x-1*y-1*z-1 + 2*x-2*y-1 + x-2*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 3 4 Lattice Minkowski decompositions of facet 3
Image of facet 23 2 Lattice Minkowski decompositions of facet 23
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