  | 
PALP id: | 
3604 | 
| grdb id: | 
450160 | 
| Integer points: | 
[ 1  0  0  0  0 -2 -4 -1 -3 -2 -1  0 -3 -2 -1 -1  0 -2 -1  0] [ 0  1  0  0 -2  2  2  1  2  1  0 -1  1  0 -1  1  0  1  0 -1] [ 0  0  1 -1  1 -1 -3  0 -2 -1  0  1 -2 -1  0 -1  0 -2 -1  0] | 
| Degree: | 
18 | 
| Hilbert function: | 
1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...  | 
| Polynomials: | 
| Period sequence | 
Fano variety | 
Laurent polynomial | 
 
| 10 | 
rank 1, V18 | 
x + y + z + 2*x-1*y + 2*y-1*z + z-1 + 3*x-1*y*z-1 + x-2*y2*z-1 + 2*y-1 + 6*x-1 + y-2*z + 4*x-1*z-1 + 6*x-2*y*z-1 + 4*x-1*y-1 + 2*x-2*y*z-2 + 2*x-3*y2*z-2 + 6*x-2*z-1 + 4*x-3*y*z-2 + x-4*y2*z-3 | 
 
 
 | 
| Facets: | 
| Facet | 
Multiplicity | 
Admissible lattice Minkowksi decompositions | 
 
  | 
1 | 
irreducible and admissible
 | 
 
  | 
3 | 
irreducible and admissible
 | 
 
  | 
1 | 
 
 | 
 
  | 
1 | 
 
 | 
 
  | 
1 | 
 
 | 
 
 
 |