Polytope 4281
Image of polytope 4281 PALP id: 4281
grdb id: 547396
Integer points: [ 1 1 1 -5 0 -1 -2 -3 -4 1 0 -1 -2 -3 1 0 -1 1 0 -1 -2 -3 1 0 -1 1 1 0 -1 1]
[ 0 3 0 -6 -1 -2 -3 -4 -5 1 0 -1 -2 -3 2 1 0 0 -1 -2 -3 -4 1 0 -1 2 0 -1 -2 1]
[ 0 0 3 -3 2 1 0 -1 -2 2 1 0 -1 -2 1 0 -1 2 1 0 -1 -2 1 0 -1 0 1 0 -1 0]
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*y3 + 3*x*y2*z + 3*x*y*z2 + x*z3 + 3*x*y2 + 6*x*y*z + 3*x*z2 + 3*x*y + 3*x*z + x + 6*y + 12*z + 6*y-1*z2 + 12*y-1*z + 6*y-1 + 3*x-1*z-1 + 18*x-1*y-1 + 15*x-1*y-2*z + 6*x-1*y-1*z-1 + 18*x-1*y-2 + 3*x-1*y-2*z-1 + 12*x-2*y-2*z-1 + 20*x-2*y-3 + 12*x-2*y-3*z-1 + 3*x-3*y-3*z-2 + 15*x-3*y-4*z-1 + 3*x-3*y-4*z-2 + 6*x-4*y-5*z-2 + x-5*y-6*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 241 2 Lattice Minkowski decompositions of facet 241
Image of facet 52 2 Lattice Minkowski decompositions of facet 52
previous:polytope 4280
next:polytope 4282