![Image of polytope 2698](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.2698.png) |
PALP id: |
2698 |
grdb id: |
12465 |
Integer points: |
[ 1 0 0 0 0 1 1 -1 -1 -1 -1 1 0 0 0 -1] [ 0 1 0 1 -1 0 -1 1 0 1 -1 -1 -1 0 0 0] [ 0 0 1 -1 1 -1 0 0 1 -1 1 -1 0 -1 0 0] |
Degree: |
18 |
Hilbert function: |
1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ... |
Polynomials: |
Period sequence |
Fano variety |
Laurent polynomial |
10 |
rank 1, V18 |
x + y + z + x*z-1 + y*z-1 + x*y-1 + x-1*y + y-1*z + x-1*z + x*y-1*z-1 + 2*z-1 + x-1*y*z-1 + 2*y-1 + 2*x-1 + x-1*y-1*z |
|
Facets: |
Facet |
Multiplicity |
Admissible lattice Minkowksi decompositions |
![Image of facet 0](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.0.png) |
1 |
irreducible and admissible
|
![Image of facet 3](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.3.png) |
6 |
|
![Image of facet 11](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.11.png) |
3 |
|
![Image of facet 16](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.16.png) |
1 |
|
|