Polytope 1216
Image of polytope 1216 PALP id: 1216
grdb id: 507648
Integer points: [ 1 1 -1 -1 0 -2 -2 -1 -2 0 0 0 1]
[ 0 2 -2 0 0 -3 -1 -1 -2 -1 0 1 1]
[ 0 0 0 0 1 -1 -1 0 -1 0 0 0 0]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
24 ? x*y2 + 2*x*y + x + 2*y + z + 2*y-1 + x-1 + 2*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1 + 2*x-2*y-2*z-1 + x-2*y-3*z-1
75 ? x*y2 + 2*x*y + x + 2*y + z + 2*y-1 + x-1 + 3*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1 + 2*x-2*y-2*z-1 + x-2*y-3*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 5 irreducible and admissible
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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