Polytope 2814
Image of polytope 2814 PALP id: 2814
grdb id: 468224
Integer points: [ 1 0 0 0 0 -2 -3 -1 -2 0 -1 -2 0 -1 -1 0 -1]
[ 0 1 -1 0 -3 3 3 1 2 -1 0 1 -2 -1 2 0 1]
[ 0 0 0 1 1 -2 -2 0 -1 1 0 -1 1 0 -1 0 -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
56 rank 2, number 11 x + y + z + 2*x-1*y2*z-1 + 3*x-1*y + 3*y-1*z + x-2*y3*z-2 + 2*x-1*y*z-1 + 3*x-2*y2*z-1 + y-1 + 6*x-1 + 3*y-2*z + x-3*y3*z-2 + 3*x-2*y*z-1 + 3*x-1*y-1 + y-3*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 44 2 Lattice Minkowski decompositions of facet 44
Image of facet 9 1 irreducible and admissible
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
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