Polytope 2781
Image of polytope 2781 PALP id: 2781
grdb id: 472391
Integer points: [ 1 0 0 -2 -1 -3 -3 -2 -3 -2 -1 -2 -1 -1 0 -1 0]
[ 0 1 0 0 -2 -2 -4 -3 -3 -2 -1 -1 0 -2 -1 -1 0]
[ 0 0 1 -1 0 -2 -2 -1 -2 -1 0 -1 0 -1 0 -1 0]
Degree: 30
Hilbert function: 1 + 18 t + 80 t2 + 217 t3 + 459 t4 + 836 t5 + 1378 t6 + 2115 t7 + 3077 t8 + 4294 t9 + 5796 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
29 rank 2, number 23 x + y + z + 2*y-1 + 2*x-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + x-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*x-2*y-1*z-1 + 3*x-2*y-2*z-1 + 2*x-2*y-3*z-1 + x-3*y-2*z-2 + 2*x-3*y-3*z-2 + x-3*y-4*z-2
122 rank 4, number 3 x + y + z + 2*y-1 + 2*x-1 + 4*x-1*y-1 + 2*x-1*y-1*z-1 + x-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 4*x-2*y-1*z-1 + 6*x-2*y-2*z-1 + 2*x-2*y-3*z-1 + x-3*y-2*z-2 + 2*x-3*y-3*z-2 + x-3*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 135 1 Lattice Minkowski decompositions of facet 135
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