Polytope 1998
Image of polytope 1998 PALP id: 1998
grdb id: 533766
Integer points: [ 1 0 0 -2 0 -2 -1 0 -1 -2 -1 0 -1 0 -1]
[ 0 1 -1 -1 1 -3 0 0 -1 -2 -2 1 0 0 -1]
[ 0 0 0 0 2 -2 1 1 0 -1 -1 1 0 0 -1]
Degree: 24
Hilbert function: 1 + 15 t + 65 t2 + 175 t3 + 369 t4 + 671 t5 + 1105 t6 + 1695 t7 + 2465 t8 + 3439 t9 + 4641 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
60 rank 2, number 18 y*z2 + 2*y*z + x + y + 2*z + 2*x-1*z + y-1 + 2*x-1 + 4*x-1*y-1 + 2*x-1*y-1*z-1 + x-2*y-1 + 2*x-1*y-2*z-1 + 2*x-2*y-2*z-1 + x-2*y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 4 irreducible and admissible
Image of facet 36 1 Lattice Minkowski decompositions of facet 36
previous:polytope 1997
next:polytope 1999