Polytope 2816
Image of polytope 2816 PALP id: 2816
grdb id: 355616
Integer points: [ 1 1 -1 -1 0 0 2 -2 0 -1 0 1 -1 0 1 0 0]
[ 0 2 -2 0 0 -2 3 -1 1 0 1 2 -1 0 1 -1 -1]
[ 0 0 0 0 1 1 -1 -1 0 -1 -1 -1 0 0 0 1 0]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
22 rank 3, number 1 x2*y3*z-1 + x*y2 + 4*x*y2*z-1 + 3*x*y + x + 2*y + z + 6*y*z-1 + 2*y-1*z + 2*y-1 + x-1 + y-2*z + 4*x-1*z-1 + 3*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1
7 rank 1, V12 x2*y3*z-1 + x*y2 + 4*x*y2*z-1 + 2*x*y + x + 2*y + z + 6*y*z-1 + 2*y-1*z + 2*y-1 + x-1 + y-2*z + 4*x-1*z-1 + 3*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1
11 rank 2, number 6 x2*y3*z-1 + x*y2 + 4*x*y2*z-1 + 2*x*y + x + 2*y + z + 6*y*z-1 + 2*y-1*z + 2*y-1 + x-1 + y-2*z + 4*x-1*z-1 + 2*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1
7 rank 1, V12 x2*y3*z-1 + x*y2 + 4*x*y2*z-1 + 3*x*y + x + 2*y + z + 6*y*z-1 + 2*y-1*z + 2*y-1 + x-1 + y-2*z + 4*x-1*z-1 + 2*x-1*y-1 + x-1*y-2 + x-2*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 2 irreducible and admissible
Image of facet 59 2 Lattice Minkowski decompositions of facet 59
Image of facet 23 2 Lattice Minkowski decompositions of facet 23
previous:polytope 2815
next:polytope 2817