Polytope 3060
Image of polytope 3060 PALP id: 3060
grdb id: 527955
Integer points: [ 1 0 0 -3 3 3 -1 1 -2 0 2 -1 1 -1 1 0 2 1]
[ 0 1 0 0 -2 -3 -1 -2 0 -1 -2 0 -1 0 -1 0 -1 0]
[ 0 0 1 -2 3 4 0 2 -1 1 3 0 2 -1 1 0 2 1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
10 rank 1, V18 x3*y-2*z3 + x3*y-3*z4 + 3*x2*y-1*z2 + 3*x2*y-2*z3 + 3*x*z + 3*x*y-1*z2 + x + y + 3*x*y-1*z + z + 3*x*y-2*z2 + 6*y-1*z + 3*x-1 + 2*x-1*z-1 + 3*x-1*y-1 + 3*x-2*z-1 + x-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 1 irreducible and admissible
Image of facet 9 2 irreducible and admissible
Image of facet 60 1 Lattice Minkowski decompositions of facet 60
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
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