Polytope 4246
Image of polytope 4246 PALP id: 4246
grdb id: 432558
Integer points: [ 1 0 0 1 -1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 0 0 0]
[ 0 1 0 -1 2 2 -4 1 0 -1 -2 -3 1 0 -1 -2 -3 0 -1 -2 1 0 -1 -2 1 0 -1]
[ 0 0 1 0 -2 -3 3 -2 -1 0 1 2 -2 -1 0 1 2 -1 0 1 -1 0 1 2 -1 0 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x + y + z + 2*y*z-1 + x*y-1 + 3*y-1*z + x-1*y2*z-2 + 3*z-1 + 5*x-1*y*z-1 + 6*y-1 + 9*x-1 + 3*y-2*z + 7*x-1*y-1*z + 2*x-1*y-2*z2 + 3*x-1*y*z-2 + 12*x-1*z-1 + 18*x-1*y-1 + 12*x-1*y-2*z + 3*x-1*y-3*z2 + x-2*y2*z-3 + 6*x-2*y*z-2 + 15*x-2*z-1 + 20*x-2*y-1 + 15*x-2*y-2*z + 6*x-2*y-3*z2 + x-2*y-4*z3
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 241 1 Lattice Minkowski decompositions of facet 241
Image of facet 200 1 Lattice Minkowski decompositions of facet 200
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
previous:polytope 4245
next:polytope 4247