Polytope 3446
Image of polytope 3446 PALP id: 3446
grdb id: 147470
Integer points: [ 1 0 0 2 -1 -2 1 0 -2 0 -1 1 0 -1 1 0 -1 0 -1]
[ 0 1 0 -1 2 1 -2 -2 0 -1 0 -1 0 1 0 1 -1 -1 0]
[ 0 0 1 -1 -1 0 0 1 1 1 1 0 0 0 -1 -1 1 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
22 rank 3, number 1 x + y + z + x2*y-1*z-1 + 3*x*z-1 + 3*y*z-1 + x-1*y2*z-1 + 3*x*y-1 + 3*x-1*y + 2*y-1*z + 2*x-1*z + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + y-2*z + 2*x-1*y-1*z + x-2*z
7 rank 1, V12 x + y + z + x2*y-1*z-1 + 3*x*z-1 + 3*y*z-1 + x-1*y2*z-1 + 2*x*y-1 + 3*x-1*y + 2*y-1*z + 2*x-1*z + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + y-2*z + 2*x-1*y-1*z + x-2*z
7 rank 1, V12 x + y + z + x2*y-1*z-1 + 3*x*z-1 + 3*y*z-1 + x-1*y2*z-1 + 3*x*y-1 + 2*x-1*y + 2*y-1*z + 2*x-1*z + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + y-2*z + 2*x-1*y-1*z + x-2*z
11 rank 2, number 6 x + y + z + x2*y-1*z-1 + 3*x*z-1 + 3*y*z-1 + x-1*y2*z-1 + 2*x*y-1 + 2*x-1*y + 2*y-1*z + 2*x-1*z + x*y-2 + 3*y-1 + 3*x-1 + 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 1 Lattice Minkowski decompositions of facet 16
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 23 2 Lattice Minkowski decompositions of facet 23
Image of facet 60 1 Lattice Minkowski decompositions of facet 60
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
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