![Image of polytope 2411](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.2411.png) |
PALP id: |
2411 |
grdb id: |
482428 |
Integer points: |
[ 1 0 0 0 0 -2 -2 -2 -1 -1 -1 0 -1 -1 0 0] [ 0 1 0 0 -2 0 2 1 -1 0 1 -1 0 1 -1 0] [ 0 0 1 -1 1 1 -1 0 1 0 -1 0 1 0 1 0] |
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 |
13 |
rank 2, number 12 |
x + y + z + 2*x-1*y + 2*y-1*z + 2*x-1*z + z-1 + 2*x-1*y*z-1 + x-2*y2*z-1 + 2*y-1 + 4*x-1 + 2*x-2*y + y-2*z + 2*x-1*y-1*z + x-2*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 1](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.1.png) |
2 |
irreducible and admissible
|
![Image of facet 36](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.36.png) |
1 |
|
![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 11](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.11.png) |
1 |
|
|