Polytope 3364
Image of polytope 3364 PALP id: 3364
grdb id: 456230
Integer points: [ 1 0 0 -2 0 -1 -4 -2 -1 0 -3 -2 -1 -3 0 -1 0 -2 -1]
[ 0 1 0 1 -2 -2 1 -1 -1 -1 0 0 0 1 -1 0 0 1 1]
[ 0 0 1 0 -1 -2 -2 -2 -1 0 -2 -1 0 -1 -1 -1 0 -1 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 + 2*x-1*y + 2*y-1 + 3*x-1 + x-2*y + 2*y-1*z-1 + 4*x-1*z-1 + 2*x-2*y*z-1 + y-2*z-1 + 4*x-1*y-1*z-1 + 5*x-2*z-1 + 2*x-3*y*z-1 + x-1*y-2*z-2 + 3*x-2*y-1*z-2 + 3*x-3*z-2 + x-4*y*z-2
17 rank 1, V22 x + y + z + 2*x-1*y + 2*y-1 + 4*x-1 + x-2*y + 2*y-1*z-1 + 4*x-1*z-1 + 2*x-2*y*z-1 + y-2*z-1 + 5*x-1*y-1*z-1 + 6*x-2*z-1 + 2*x-3*y*z-1 + x-1*y-2*z-2 + 3*x-2*y-1*z-2 + 3*x-3*z-2 + x-4*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 155 1 Lattice Minkowski decompositions of facet 155
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
previous:polytope 3363
next:polytope 3365