Polytope 3178
Image of polytope 3178 PALP id: 3178
grdb id: 335643
Integer points: [ 1 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 1 0 -2 2 -2 -3 1 1 0 -1 0 -1 -2 1 0 -1 -1]
[ 0 0 1 -1 2 -2 -2 2 1 0 -1 1 0 -1 1 0 -1 0]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
151 rank 3, number 4 x-1*y2*z2 + 2*y*z + x-1*y*z2 + x + y + z + 4*x-1*y*z + 4*x-1*z + 2*y-1 + 6*x-1 + 2*y-1*z-1 + 6*x-1*y-1 + y-2*z-1 + 4*x-1*y-1*z-1 + 4*x-1*y-2*z-1 + x-1*y-2*z-2 + x-1*y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 3 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 13 1 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 134 1 Lattice Minkowski decompositions of facet 134
previous:polytope 3177
next:polytope 3179