Polytope 3619
Image of polytope 3619 PALP id: 3619
grdb id: 306960
Integer points: [ 1 0 0 -3 1 -2 3 2 -1 0 -2 -1 0 1 2 -1 0 1 1 2]
[ 0 1 0 3 -2 1 -4 -3 0 -1 2 1 -1 -2 -3 1 0 -1 -1 -2]
[ 0 0 1 1 0 0 -2 -2 0 0 1 1 -1 -1 -1 0 0 0 -1 -1]
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
11 rank 2, number 6 x + y + z + 3*x-1*y*z + 3*x-2*y2*z + x-3*y3*z + 2*x*y-1 + 2*x-1*y + 2*x2*y-2*z-1 + 2*x*y-1*z-1 + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + 2*x2*y-3*z-1 + 4*x*y-2*z-1 + 2*y-1*z-1 + x3*y-4*z-2 + x2*y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 60 1 Lattice Minkowski decompositions of facet 60
Image of facet 22 2 Lattice Minkowski decompositions of facet 22
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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