![Image of polytope 1443](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.1443.png) |
PALP id: |
1443 |
grdb id: |
250962 |
Integer points: |
[ 1 0 0 -1 0 -1 -2 -1 -2 -1 -2 -1 0] [ 0 1 -1 1 0 -1 0 -2 -2 -1 -1 0 0] [ 0 0 0 0 1 -1 -1 -1 -1 0 -1 0 0] |
Degree: |
32 |
Hilbert function: |
1 + 19 t + 85 t2 + 231 t3 + 489 t4 + 891 t5 + 1469 t6 + 2255 t7 + 3281 t8 + 4579 t9 + 6181 t10 + ... |
Polynomials: |
Period sequence |
Fano variety |
Laurent polynomial |
112 |
rank 3, number 15 |
x + y + z + x-1*y + y-1 + 2*x-1 + 2*x-1*y-1 + x-1*y-1*z-1 + x-2*z-1 + x-1*y-2*z-1 + 2*x-2*y-1*z-1 + x-2*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) |
6 |
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 11](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.11.png) |
2 |
|
![Image of facet 22](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.22.png) |
1 |
|
|