Polytope 2916
Image of polytope 2916 PALP id: 2916
grdb id: 186255
Integer points: [ 1 0 0 0 1 0 -1 -2 -3 -2 -1 -2 -1 -1 0 -1 0]
[ 0 1 0 0 -1 -1 1 -1 -1 -1 -1 0 0 -1 -1 0 0]
[ 0 0 1 -1 0 -1 -1 0 -1 -1 -1 -1 -1 0 0 0 0]
Degree: 22
Hilbert function: 1 + 14 t + 60 t2 + 161 t3 + 339 t4 + 616 t5 + 1014 t6 + 1555 t7 + 2261 t8 + 3154 t9 + 4256 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
17 rank 1, V22 x + y + z + x*y-1 + z-1 + x-1*y*z-1 + 3*y-1 + 2*x-1 + y-1*z-1 + 3*x-1*z-1 + 3*x-1*y-1 + 3*x-1*y-1*z-1 + 2*x-2*z-1 + x-2*y-1 + 3*x-2*y-1*z-1 + x-3*y-1*z-1
146 rank 3, number 6 x + y + z + x*y-1 + z-1 + x-1*y*z-1 + 3*y-1 + 3*x-1 + y-1*z-1 + 3*x-1*z-1 + 3*x-1*y-1 + 3*x-1*y-1*z-1 + 2*x-2*z-1 + x-2*y-1 + 3*x-2*y-1*z-1 + x-3*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 9 1 irreducible and admissible
Image of facet 60 1 Lattice Minkowski decompositions of facet 60
previous:polytope 2915
next:polytope 2917