Polytope 4139
Image of polytope 4139 PALP id: 4139
grdb id: 75065
Integer points: [ 1 0 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
[ 0 1 0 1 1 -1 -2 -2 1 0 1 0 -1 1 0 -1 -2 0 -1 1 0 -1 0 -1]
[ 0 0 1 0 -2 2 2 0 -3 1 -1 0 1 -2 -1 0 1 -2 -1 -1 0 1 -1 0]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
18 rank 1, V14 x + y + z + 2*y*z-1 + x-1*y + 2*y-1*z + 2*x-1*z + x-1*y-1*z2 + y*z-2 + 3*z-1 + 3*x-1*y*z-1 + 2*y-1 + 7*x-1 + 5*x-1*y-1*z + x-1*y-2*z2 + 3*x-1*y*z-2 + 8*x-1*z-1 + 7*x-1*y-1 + 2*x-1*y-2*z + x-1*y*z-3 + 3*x-1*z-2 + 3*x-1*y-1*z-1 + x-1*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 231 1 Lattice Minkowski decompositions of facet 231
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
previous:polytope 4138
next:polytope 4140