![Image of polytope 848](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.848.png) |
PALP id: |
848 |
grdb id: |
513225 |
Integer points: |
[ 1 0 0 -2 0 -3 -2 -1 -2 -1 -1 0] [ 0 1 0 -1 -1 -2 -2 -1 -1 0 -1 0] [ 0 0 1 -1 1 0 1 1 0 0 0 0] |
Degree: |
42 |
Hilbert function: |
1 + 24 t + 110 t2 + 301 t3 + 639 t4 + 1166 t5 + 1924 t6 + 2955 t7 + 4301 t8 + 6004 t9 + 8106 t10 + ... |
Polynomials: |
Period sequence |
Fano variety |
Laurent polynomial |
142 |
rank 4, number 10 |
x + y + z + y-1*z + 3*x-1 + 2*x-1*y-1*z + x-1*y-1 + 3*x-2*y-1 + x-2*y-2*z + x-2*y-1*z-1 + x-3*y-2 |
|
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) |
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 44](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.44.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
|
|