Polytope 4190
Image of polytope 4190 PALP id: 4190
grdb id: 521212
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 0]
[ 0 1 1 0 0 -4 -1 -2 -3 0 -1 -2 -3 0 -1 -2 0 -1 0 -1 -2 1 0 -1 1 0]
[ 0 0 3 -2 2 -6 0 -2 -4 1 -1 -3 -5 0 -2 -4 -1 -3 1 -1 -3 2 0 -2 1 -1]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 y*z3 + 3*y*z2 + 3*y*z + x + y + 3*z + x-1*z2 + 4*x-1*z + 3*z-1 + 6*x-1 + 4*y-1*z-1 + 4*x-1*z-1 + 4*x-1*y-1 + 4*y-1*z-2 + x-1*z-2 + 12*x-1*y-1*z-1 + 12*x-1*y-1*z-2 + 2*y-2*z-3 + 4*x-1*y-1*z-3 + 6*x-1*y-2*z-2 + 12*x-1*y-2*z-3 + 6*x-1*y-2*z-4 + 4*x-1*y-3*z-4 + 4*x-1*y-3*z-5 + x-1*y-4*z-6
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 9 1 irreducible and admissible
Image of facet 90 1 Lattice Minkowski decompositions of facet 90
Image of facet 76 2 Lattice Minkowski decompositions of facet 76
Image of facet 206 1 Lattice Minkowski decompositions of facet 206
previous:polytope 4189
next:polytope 4191