Polytope 4097
Image of polytope 4097 PALP id: 4097
grdb id: 521909
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0]
[ 0 1 0 2 -2 -6 1 0 -1 0 -1 -2 -3 -2 -3 -4 -4 -5 1 0 -1 -1 -2 -3]
[ 0 0 1 -2 2 2 -1 0 1 -1 0 1 2 0 1 2 1 2 -1 0 1 0 1 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 + 2*y*z-1 + 3*y-1*z + x-1*y2*z-2 + 4*x-1*y*z-1 + 4*y-1 + 6*x-1 + 4*y-2*z + 4*x-1*y-1*z + x-1*y-2*z2 + 4*x-1*z-1 + 12*x-1*y-1 + 2*y-3*z + 12*x-1*y-2*z + 4*x-1*y-3*z2 + 6*x-1*y-2 + 12*x-1*y-3*z + 6*x-1*y-4*z2 + 4*x-1*y-4*z + 4*x-1*y-5*z2 + x-1*y-6*z2
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 49 1 Lattice Minkowski decompositions of facet 49
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 76 1 Lattice Minkowski decompositions of facet 76
Image of facet 206 1 Lattice Minkowski decompositions of facet 206
previous:polytope 4096
next:polytope 4098