Polytope 2968
Image of polytope 2968 PALP id: 2968
grdb id: 639889
Integer points: [ 1 1 0 0 0 0 -1 -1 -2 -2 0 -1 -1 0 1 -1 0]
[ 0 2 0 1 -1 0 -2 0 -2 -1 -1 -1 -1 0 1 0 1]
[ 0 0 1 1 -1 -1 0 0 1 1 0 0 1 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
40 rank 2, number 10 x*y2 + 2*x*y + y*z + x + 2*y + z + 2*x-1*z + z-1 + 2*y-1 + x-1 + 2*x-1*y-1*z + y-1*z-1 + 3*x-1*y-1 + x-2*y-1*z + x-1*y-2 + x-2*y-2*z
20 rank 1, V16 x*y2 + 2*x*y + y*z + x + 2*y + z + 2*x-1*z + z-1 + 2*y-1 + x-1 + 2*x-1*y-1*z + y-1*z-1 + 2*x-1*y-1 + x-2*y-1*z + x-1*y-2 + x-2*y-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 24 1 Lattice Minkowski decompositions of facet 24
Image of facet 1 2 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 15 3 Lattice Minkowski decompositions of facet 15
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