![Image of polytope 1665](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.1665.png) |
PALP id: |
1665 |
grdb id: |
498855 |
Integer points: |
[ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0] [ 0 1 0 1 -2 2 -2 0 -1 1 0 -1 0 -1] [ 0 0 1 0 0 -1 -1 0 0 -1 -1 -1 0 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 |
128 |
? |
x + y + z + x-1*y2*z-1 + x-1*y + 4*x-1*y*z-1 + 2*y-1 + 3*x-1 + 6*x-1*z-1 + 3*x-1*y-1 + 4*x-1*y-1*z-1 + x-1*y-2 + x-1*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) |
2 |
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 3](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.3.png) |
1 |
|
![Image of facet 9](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.9.png) |
1 |
irreducible and admissible
|
![Image of facet 90](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.90.png) |
1 |
|
![Image of facet 13](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.13.png) |
1 |
irreducible and admissible
|
|