Polytope 4055
Image of polytope 4055 PALP id: 4055
grdb id: 86711
Integer points: [ 1 0 0 2 1 -1 -1 -2 -2 0 -1 0 -1 -2 -1 -2 1 0 1 0 -1 0 -1]
[ 0 1 0 -1 -1 2 -1 2 -1 -1 -1 0 0 0 1 1 -1 -1 0 0 0 1 1]
[ 0 0 1 -1 -1 -1 2 -1 2 0 1 -1 0 1 -1 0 0 1 -1 0 1 -1 0]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x + y + z + x2*y-1*z-1 + 3*x*z-1 + 3*y*z-1 + x-1*y2*z-1 + 3*x*y-1 + 3*x-1*y + 3*y-1*z + 3*x-1*z + x-1*y-1*z2 + x*y-1*z-1 + 3*z-1 + 3*x-1*y*z-1 + x-2*y2*z-1 + 3*y-1 + 6*x-1 + 3*x-2*y + 3*x-1*y-1*z + 3*x-2*z + x-2*y-1*z2
49 rank 2, number 4 x + y + z + x2*y-1*z-1 + 3*x*z-1 + 3*y*z-1 + x-1*y2*z-1 + 3*x*y-1 + 4*x-1*y + 3*y-1*z + 4*x-1*z + x-1*y-1*z2 + x*y-1*z-1 + 3*z-1 + 3*x-1*y*z-1 + x-2*y2*z-1 + 3*y-1 + 6*x-1 + 3*x-2*y + 3*x-1*y-1*z + 3*x-2*z + x-2*y-1*z2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 20 2 Lattice Minkowski decompositions of facet 20
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 100 1 Lattice Minkowski decompositions of facet 100
Image of facet 60 2 Lattice Minkowski decompositions of facet 60
previous:polytope 4054
next:polytope 4056