Polytope 4266
Image of polytope 4266 PALP id: 4266
grdb id: 258004
Integer points: [ 1 0 0 2 -1 2 -2 -2 1 0 -1 1 0 -1 -2 0 -1 -2 -1 -2 1 0 -1 1 0 -1 0 -1]
[ 0 1 0 -1 2 -2 2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 0 1 1 -1 -1 -1 0 0 0 1 1]
[ 0 0 1 -1 -1 -1 -1 3 0 1 2 -1 0 1 2 -1 0 1 -1 0 0 1 2 -1 0 1 -1 0]
Degree: 8
Hilbert function: 1 + 7 t + 25 t2 + 63 t3 + 129 t4 + 231 t5 + 377 t6 + 575 t7 + 833 t8 + 1159 t9 + 1561 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
5 rank 1, V8 x + y + z + x2*y-1*z-1 + 3*x*z-1 + 3*y*z-1 + x-1*y2*z-1 + 4*x*y-1 + 4*x-1*y + 5*y-1*z + 5*x-1*z + 2*x-1*y-1*z2 + x2*y-2*z-1 + 4*x*y-1*z-1 + 6*z-1 + 4*x-1*y*z-1 + x-2*y2*z-1 + 4*x*y-2 + 12*y-1 + 12*x-1 + 4*x-2*y + 6*y-2*z + 12*x-1*y-1*z + 6*x-2*z + 4*x-1*y-2*z2 + 4*x-2*y-1*z2 + x-2*y-2*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 90 1 Lattice Minkowski decompositions of facet 90
Image of facet 107 2 Lattice Minkowski decompositions of facet 107
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 206 1 Lattice Minkowski decompositions of facet 206
previous:polytope 4265
next:polytope 4267