Polytope 3451
Image of polytope 3451 PALP id: 3451
grdb id: 147467
Integer points: [ 1 0 0 0 2 -3 3 -2 2 1 -1 0 1 2 -1 0 1 -2 -1]
[ 0 1 -1 0 1 -3 3 -1 3 2 0 1 1 2 -1 0 1 -2 -1]
[ 0 0 0 1 -1 1 -2 0 -2 -1 0 -1 0 -1 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 x3*y3*z-2 + x2*y3*z-2 + 3*x2*y2*z-1 + x2*y*z-1 + 2*x*y2*z-1 + 3*x*y + 2*x*y*z-1 + x + y + z + 2*y*z-1 + y-1 + 2*x-1 + 3*x-1*y-1*z + 2*x-1*y-1 + x-2*y-1 + 3*x-2*y-2*z + x-3*y-3*z
34 rank 2, number 5 x3*y3*z-2 + x2*y3*z-2 + 3*x2*y2*z-1 + x2*y*z-1 + 2*x*y2*z-1 + 3*x*y + 4*x*y*z-1 + x + y + z + 2*y*z-1 + y-1 + 2*x-1 + 3*x-1*y-1*z + 3*x-1*y-1 + x-2*y-1 + 3*x-2*y-2*z + x-3*y-3*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 2 Lattice Minkowski decompositions of facet 20
Image of facet 72 1 Lattice Minkowski decompositions of facet 72
Image of facet 44 2 Lattice Minkowski decompositions of facet 44
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