![Image of polytope 3267](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.3267.png) |
PALP id: |
3267 |
grdb id: |
625031 |
Integer points: |
[ 1 0 0 -1 0 0 1 2 -1 -1 0 0 -1 1 1 0 -1 -1] [ 0 1 0 1 -1 1 -1 -1 -1 1 0 -1 0 0 -1 0 1 0] [ 0 0 1 1 1 -1 -1 -1 1 -1 -1 0 0 -1 0 0 0 1] |
Degree: |
14 |
Hilbert function: |
1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ... |
Polynomials: |
Period sequence |
Fano variety |
Laurent polynomial |
18 |
rank 1, V14 |
x + y + z + x-1*y*z + x2*y-1*z-1 + 2*x*z-1 + y*z-1 + 2*x*y-1 + 2*x-1*y + y-1*z + 2*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 16](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.16.png) |
2 |
|
![Image of facet 3](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.3.png) |
1 |
|
![Image of facet 11](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.11.png) |
4 |
|
![Image of facet 15](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.15.png) |
2 |
|
|