![Image of polytope 2583](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.2583.png) |
PALP id: |
2583 |
grdb id: |
204801 |
Integer points: |
[ 1 0 0 -1 0 -1 0 -2 -2 -1 -2 -1 -1 0 -1 0] [ 0 1 0 1 -1 0 -2 0 -2 -1 -1 0 -2 -1 -1 0] [ 0 0 1 0 -1 -1 -1 -1 -1 0 -1 0 -1 0 -1 0] |
Degree: |
26 |
Hilbert function: |
1 + 16 t + 70 t2 + 189 t3 + 399 t4 + 726 t5 + 1196 t6 + 1835 t7 + 2669 t8 + 3724 t9 + 5026 t10 + ... |
Polynomials: |
Period sequence |
Fano variety |
Laurent polynomial |
46 |
? |
x + y + z + x-1*y + 2*y-1 + 2*x-1 + y-1*z-1 + x-1*z-1 + 2*x-1*y-1 + y-2*z-1 + 3*x-1*y-1*z-1 + x-2*z-1 + 2*x-1*y-2*z-1 + 2*x-2*y-1*z-1 + x-2*y-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) |
3 |
irreducible and admissible
|
![Image of facet 1](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.1.png) |
1 |
irreducible and admissible
|
![Image of facet 3](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.3.png) |
2 |
|
![Image of facet 22](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.22.png) |
1 |
|
![Image of facet 16](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.16.png) |
1 |
|
![Image of facet 30](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.30.png) |
1 |
|
|