Polytope 4286
Image of polytope 4286 PALP id: 4286
grdb id: 520416
Integer points: [ 1 1 1 -2 1 -2 -1 0 -1 0 1 0 1 -2 -1 0 1 -1 0 1 0 1 1 -1 0 -1 0 1 0 1]
[ 0 2 0 -3 2 -1 -2 -1 -2 -1 0 -1 0 -2 -1 0 1 -1 0 1 0 1 1 0 1 0 1 2 1 2]
[ 0 0 3 -3 3 -3 -1 1 -2 0 2 -1 1 -3 -1 1 3 -2 0 2 -1 1 0 -1 1 -2 0 2 -1 1]
Degree: 6
Hilbert function: 1 + 6 t + 20 t2 + 49 t3 + 99 t4 + 176 t5 + 286 t6 + 435 t7 + 629 t8 + 874 t9 + 1176 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
19 rank 1, V6 x*y2*z3 + 3*x*y2*z2 + 2*x*y*z3 + 3*x*y2*z + 6*x*y*z2 + x*z3 + x*y2 + 6*x*y*z + 3*x*z2 + 2*x*y + 3*x*z + 3*y*z + x + 6*y + 6*z + 3*y*z-1 + 3*y-1*z + 6*z-1 + 6*y-1 + 3*y-1*z-1 + 3*x-1*z-1 + 3*x-1*z-2 + 6*x-1*y-1*z-1 + 6*x-1*y-1*z-2 + 3*x-1*y-2*z-1 + 3*x-1*y-2*z-2 + x-2*y-1*z-3 + 2*x-2*y-2*z-3 + x-2*y-3*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 52 2 Lattice Minkowski decompositions of facet 52
Image of facet 125 3 Lattice Minkowski decompositions of facet 125
previous:polytope 4285
next:polytope 4287