![Image of polytope 2263](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.2263.png) |
PALP id: |
2263 |
grdb id: |
234647 |
Integer points: |
[ 1 0 1 -1 0 -2 1 0 -2 -1 0 -1 0 -1 0] [ 0 1 -1 1 0 1 -2 -2 0 -1 -1 0 -1 0 0] [ 0 0 0 0 1 -1 -1 -1 -1 -1 0 0 -1 -1 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 |
59 |
rank 2, number 16 |
x + y + z + x*y-1 + x-1*y + 2*y-1 + 2*x-1 + x*y-2*z-1 + 3*y-1*z-1 + 3*x-1*z-1 + x-2*y*z-1 + y-2*z-1 + 2*x-1*y-1*z-1 + x-2*z-1 |
|
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) |
5 |
irreducible and admissible
|
![Image of facet 16](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.16.png) |
1 |
|
![Image of facet 11](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.11.png) |
2 |
|
![Image of facet 20](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.20.png) |
1 |
|
![Image of facet 44](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.44.png) |
1 |
|
|