|  | PALP id: | 3233 | 
| grdb id: | 161602 | 
| Integer points: | [ 1  0  0  0  0 -1 -1 -2 -2 -2 -2 -1 -1 -1 -1 -1  0  0] [ 0  1  0  0  1  1 -2  1 -2 -1  0 -1  0 -1  0  1 -1  0]
 [ 0  0  1 -1 -1  0  0 -1 -1 -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 |  
| 59 | rank 2, number 16 | x + y + z + y*z-1 + x-1*y + z-1 + 2*x-1*y*z-1 + 2*y-1 + 2*x-1 + 4*x-1*z-1 + x-2*y*z-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 3*x-2*z-1 + x-1*y-2 + 3*x-2*y-1*z-1 + x-2*y-2*z-1 |  
| 146 | rank 3, number 6 | x + y + z + y*z-1 + x-1*y + z-1 + 2*x-1*y*z-1 + 2*y-1 + 4*x-1 + 4*x-1*z-1 + x-2*y*z-1 + 3*x-1*y-1 + 2*x-1*y-1*z-1 + 3*x-2*z-1 + x-1*y-2 + 3*x-2*y-1*z-1 + x-2*y-2*z-1 |  | 
| Facets: | 
| Facet | Multiplicity | Admissible lattice Minkowksi decompositions |  
|  | 4 | irreducible and admissible |  
|  | 1 | irreducible and admissible |  
|  | 1 |   |  
|  | 1 |   |  
|  | 1 |   |  
|  | 1 |   |  |