Polytope 4179
Image of polytope 4179 PALP id: 4179
grdb id: 72493
Integer points: [ 1 0 0 -1 1 0 1 1 -3 -2 -1 0 -2 -1 0 1 -1 0 1 -2 -1 0 -1 0 1]
[ 0 1 0 1 0 1 -2 -3 1 0 -1 -2 1 0 -1 -2 1 0 -1 1 0 -1 1 0 -1]
[ 0 0 1 1 -1 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0]
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 + x-1*y*z + x*z-1 + y*z-1 + 2*x*y-1 + 3*x-1*y + 3*x*y-1*z-1 + 6*z-1 + 3*x-1*y*z-1 + x*y-2 + 4*y-1 + 5*x-1 + 2*x-2*y + 3*x*y-2*z-1 + 9*y-1*z-1 + 9*x-1*z-1 + 3*x-2*y*z-1 + x*y-3*z-1 + 4*y-2*z-1 + 6*x-1*y-1*z-1 + 4*x-2*z-1 + x-3*y*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
Image of facet 1 1 irreducible and admissible
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 107 1 Lattice Minkowski decompositions of facet 107
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
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