Polytope 4191
Image of polytope 4191 PALP id: 4191
grdb id: 521209
Integer points: [ 1 0 0 1 0 -6 -1 -2 -3 -4 -5 0 -1 -2 -3 -4 0 -1 -2 0 -1 -2 -3 1 0 -1]
[ 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]
[ 0 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]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
18 rank 1, V14 x + y + z + 3*x-1*y*z + 3*x-2*y*z2 + 2*x-3*y2*z2 + 3*x-4*y2*z3 + x-6*y3*z4 + 6*x-1*z + 6*x-2*y*z + 12*x-3*y*z2 + 6*x-5*y2*z3 + 2*x*y-1*z-1 + 3*y-1 + 7*x-1 + 18*x-2*z + 15*x-4*y*z2 + 4*y-1*z-1 + 12*x-1*y-1 + 20*x-3*z + x*y-2*z-2 + 3*y-2*z-1 + 15*x-2*y-1 + 6*x-1*y-2*z-1 + y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 241 1 Lattice Minkowski decompositions of facet 241
Image of facet 171 1 Lattice Minkowski decompositions of facet 171
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 1 1 irreducible and admissible
previous:polytope 4190
next:polytope 4192