Polytope 2889
Image of polytope 2889 PALP id: 2889
grdb id: 186748
Integer points: [ 1 0 0 0 -2 0 -2 1 -3 -1 0 -1 -2 -1 1 0 -1]
[ 0 1 -1 0 2 -2 0 -2 2 -1 -1 0 1 1 -1 0 1]
[ 0 0 0 1 -1 1 -1 2 -2 0 1 0 -1 0 1 0 -1]
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
75 ? x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 4*y-1*z + 2*x-1*y*z-1 + x-2*y2*z-1 + y-1 + 7*x-1 + y-2*z + 4*x-2*y*z-1 + 2*x-1*y-1 + x-3*y2*z-2 + x-2*z-1
13 rank 2, number 12 x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 2*y-1*z + 2*x-1*y*z-1 + x-2*y2*z-1 + y-1 + 2*x-1 + y-2*z + 2*x-2*y*z-1 + 2*x-1*y-1 + x-3*y2*z-2 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 144 1 Lattice Minkowski decompositions of facet 144
Image of facet 1 2 irreducible and admissible
Image of facet 11 4 Lattice Minkowski decompositions of facet 11
previous:polytope 2888
next:polytope 2890