Polytope 4279
Image of polytope 4279 PALP id: 4279
grdb id: 257048
Integer points: [ 1 0 0 -1 0 3 -3 0 -2 -1 0 -1 0 1 0 1 2 -2 -1 -2 -1 0 1 -1 0 1 2 1 2]
[ 0 1 0 1 -2 -2 1 1 1 1 1 0 0 0 -1 -1 -1 1 1 0 0 0 0 -1 -1 -1 -1 -2 -2]
[ 0 0 1 1 1 -2 1 -2 1 0 -1 1 0 -1 1 0 -1 0 -1 1 0 -1 -2 1 0 -1 -2 0 -1]
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 + x-1*y*z + 2*x2*y-1*z-1 + 4*x*z-1 + 2*y*z-1 + 4*x*y-1 + 4*x-1*y + 2*y-1*z + 4*x-1*z + 2*x-2*y*z + x3*y-2*z-2 + 3*x2*y-1*z-2 + 3*x*z-2 + y*z-2 + 3*x2*y-2*z-1 + 9*x*y-1*z-1 + 9*z-1 + 3*x-1*y*z-1 + 3*x*y-2 + 9*y-1 + 9*x-1 + 3*x-2*y + y-2*z + 3*x-1*y-1*z + 3*x-2*z + x-3*y*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 35 4 Lattice Minkowski decompositions of facet 35
Image of facet 243 1 Lattice Minkowski decompositions of facet 243
previous:polytope 4278
next:polytope 4280