Polytope 3012
Image of polytope 3012 PALP id: 3012
grdb id: 53111
Integer points: [ 1 0 0 1 0 2 1 0 -2 -1 -2 0 1 -1 0 -1 -1]
[ 0 1 0 0 0 -1 -1 -1 1 -1 0 -1 -1 0 0 0 1]
[ 0 0 1 -1 -1 -1 -1 1 0 1 1 0 0 0 0 1 0]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
20 rank 1, V16 x + y + z + x2*y-1*z-1 + x*z-1 + 2*x*y-1 + 2*x-1*y + y-1*z + 2*x-1*z + x*y-1*z-1 + z-1 + 2*y-1 + 3*x-1 + x-2*y + x-1*y-1*z + x-2*z
62 rank 2, number 9 x + y + z + x2*y-1*z-1 + x*z-1 + 2*x*y-1 + 2*x-1*y + y-1*z + 2*x-1*z + x*y-1*z-1 + z-1 + 2*y-1 + 2*x-1 + x-2*y + 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 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 11 3 Lattice Minkowski decompositions of facet 11
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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