Polytope 4180
Image of polytope 4180 PALP id: 4180
grdb id: 72114
Integer points: [ 1 0 0 -1 1 1 0 0 -3 -2 -1 0 -1 0 1 0 1 -2 -1 -2 -1 0 -1 0 1]
[ 0 1 0 1 0 -2 -2 1 1 1 1 1 0 0 0 -1 -1 1 1 0 0 0 -1 -1 -1]
[ 0 0 1 1 -2 0 1 -2 1 1 0 -1 1 0 -1 1 0 0 -1 1 0 -1 1 0 -1]
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 + x-1*y*z + 2*x*z-1 + 2*y*z-1 + 2*x*y-1 + 4*x-1*y + 2*y-1*z + 4*x-1*z + 2*x-2*y*z + x*z-2 + y*z-2 + 2*x*y-1*z-1 + 5*z-1 + 3*x-1*y*z-1 + x*y-2 + 5*y-1 + 7*x-1 + 3*x-2*y + y-2*z + 3*x-1*y-1*z + 3*x-2*z + x-3*y*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 35 2 Lattice Minkowski decompositions of facet 35
Image of facet 174 1 Lattice Minkowski decompositions of facet 174
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
previous:polytope 4179
next:polytope 4181