Polytope 4197
Image of polytope 4197 PALP id: 4197
grdb id: 521161
Integer points: [ 1 0 0 -1 -1 -5 -2 -1 0 -3 -2 -1 0 -4 -3 -2 -1 -4 -3 -2 0 -1 0 -2 -1 0]
[ 0 1 1 0 0 -4 -1 0 1 -2 -1 0 1 -3 -2 -1 0 -3 -2 -1 0 -1 0 -2 -1 0]
[ 0 0 3 -2 2 -6 0 1 2 -2 -1 0 1 -4 -3 -2 -1 -5 -4 -3 1 -1 0 -3 -2 -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 y*z3 + 3*y*z2 + 3*y*z + x + y + 2*z + x-1*z2 + 7*x-1*z + 2*z-1 + 12*x-1 + 7*x-1*z-1 + x-1*z-2 + 4*x-1*y-1*z-1 + 4*x-2*y-1 + 4*x-1*y-1*z-2 + 15*x-2*y-1*z-1 + 15*x-2*y-1*z-2 + 4*x-2*y-1*z-3 + 2*x-2*y-2*z-3 + 6*x-3*y-2*z-2 + 13*x-3*y-2*z-3 + 6*x-3*y-2*z-4 + 4*x-4*y-3*z-4 + 4*x-4*y-3*z-5 + x-5*y-4*z-6
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 2 Lattice Minkowski decompositions of facet 32
Image of facet 1 2 irreducible and admissible
Image of facet 9 1 irreducible and admissible
Image of facet 303 1 Lattice Minkowski decompositions of facet 303
previous:polytope 4196
next:polytope 4198