Polytope 3945
Image of polytope 3945 PALP id: 3945
grdb id: 281909
Integer points: [ 1 0 0 1 -2 1 1 1 -1 0 -1 0 1 0 1 -1 0 1 0 1 1 1]
[ 0 1 0 0 2 -2 -1 -4 0 -2 1 -1 -3 0 -2 1 -1 -3 0 -2 -1 -1]
[ 0 0 1 -1 1 0 -2 -2 0 -1 0 -1 -2 -1 -2 1 0 -1 0 -1 -1 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 + 2*x-1*y*z + x-2*y2*z + x*z-1 + 2*x*y-1 + 3*x-1*y + 4*x*y-1*z-1 + 3*z-1 + x*y-2 + 4*y-1 + 3*x-1 + x*y-1*z-2 + 5*x*y-2*z-1 + 6*y-1*z-1 + 3*x*y-2*z-2 + 2*x*y-3*z-1 + 3*y-2*z-1 + 3*x*y-3*z-2 + x*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 108 1 Lattice Minkowski decompositions of facet 108
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