Polytope 4213
Image of polytope 4213 PALP id: 4213
grdb id: 261697
Integer points: [ 1 0 0 -2 2 1 2 -2 -1 0 1 -1 0 1 2 0 1 2 -2 -1 0 1 -1 0 1 -1]
[ 0 1 0 2 -1 0 -4 0 -1 -2 -3 0 -1 -2 -3 0 -1 -2 1 0 -1 -2 1 0 -1 1]
[ 0 0 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 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 + 2*x-1*y*z + x-2*y2*z + x2*y-1*z-1 + x*z-1 + 3*x*y-1 + 3*x-1*y + 3*x2*y-2*z-1 + 6*x*y-1*z-1 + 3*z-1 + 2*x*y-2 + 6*y-1 + 6*x-1 + 2*x-2*y + 3*x2*y-3*z-1 + 9*x*y-2*z-1 + 9*y-1*z-1 + 3*x-1*z-1 + x2*y-4*z-1 + 4*x*y-3*z-1 + 6*y-2*z-1 + 4*x-1*y-1*z-1 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 25 2 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
Image of facet 127 1 Lattice Minkowski decompositions of facet 127
previous:polytope 4212
next:polytope 4214