  | 
PALP id: | 
1873 | 
| grdb id: | 
669485 | 
| Integer points: | 
[ 1  0  0 -1  0  0 -1 -2 -1  1 -1  0  0  1] [ 0  1  0  1  0 -1  0  1  1 -2  0 -1  0 -1] [ 0  0  1  1 -1  0  1  1  0 -2  0 -1  0 -1] | 
| Degree: | 
20 | 
| Hilbert function: | 
1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...  | 
| Polynomials: | 
| Period sequence | 
Fano variety | 
Laurent polynomial | 
 
| 52 | 
rank 2, number 13 | 
x + y + z + x-1*y*z + x-1*y + x-1*z + x-2*y*z + 2*x*y-1*z-1 + z-1 + y-1 + 3*x-1 + 3*y-1*z-1 + x*y-2*z-2 | 
 
 
 | 
| Facets: | 
| Facet | 
Multiplicity | 
Admissible lattice Minkowksi decompositions | 
 
  | 
2 | 
irreducible and admissible
 | 
 
  | 
3 | 
 
 | 
 
  | 
2 | 
 
 | 
 
  | 
2 | 
 
 | 
 
 
 |