![Image of polytope 2883](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.2883.png) |
PALP id: |
2883 |
grdb id: |
345957 |
Integer points: |
[ 1 0 0 0 0 -2 -1 -2 -2 -2 -1 -1 -1 -1 -1 0 0] [ 0 1 0 0 -1 0 -2 -3 -1 -2 0 -1 0 -1 -2 0 -1] [ 0 0 1 -1 1 1 0 1 1 1 0 0 1 1 1 0 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 |
67 |
rank 3, number 10 |
x + y + z + y-1*z + 2*x-1*z + z-1 + 2*y-1 + 2*x-1 + 4*x-1*y-1*z + x-2*z + 3*x-1*y-1 + 2*x-1*y-2*z + 3*x-2*y-1*z + x-1*y-2 + 3*x-2*y-2*z + x-2*y-3*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) |
3 |
irreducible and admissible
|
![Image of facet 1](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.1.png) |
3 |
irreducible and admissible
|
![Image of facet 35](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.35.png) |
1 |
|
![Image of facet 15](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.15.png) |
1 |
|
![Image of facet 25](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.25.png) |
1 |
|
|