![Image of polytope 1458](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.1458.png) |
PALP id: |
1458 |
grdb id: |
251556 |
Integer points: |
[ 1 0 0 0 0 0 -1 -2 -2 -1 -1 0 -1] [ 0 1 0 0 -1 1 1 0 1 1 0 0 0] [ 0 0 1 -1 0 1 1 -1 0 0 0 0 -1] |
Degree: |
28 |
Hilbert function: |
1 + 17 t + 75 t2 + 203 t3 + 429 t4 + 781 t5 + 1287 t6 + 1975 t7 + 2873 t8 + 4009 t9 + 5411 t10 + ... |
Polynomials: |
Period sequence |
Fano variety |
Laurent polynomial |
107 |
rank 3, number 11 |
y*z + x + y + z + x-1*y*z + 2*x-1*y + z-1 + y-1 + x-1 + x-2*y + 2*x-1*z-1 + x-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) |
6 |
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 10](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.10.png) |
1 |
|
![Image of facet 11](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.11.png) |
1 |
|
![Image of facet 15](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.15.png) |
1 |
|
|