Polytope 4084
Image of polytope 4084 PALP id: 4084
grdb id: 544685
Integer points: [ 1 0 0 0 -6 -1 -2 -3 -4 -5 0 -1 -2 -3 -4 0 -1 -2 0 -1 -2 -3 0 -1]
[ 0 1 0 -3 3 -2 -1 0 1 2 -2 -1 0 1 2 -1 0 1 -1 0 1 2 0 1]
[ 0 0 1 -2 4 -1 0 1 2 3 -1 0 1 2 3 0 1 2 -1 0 1 2 0 1]
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
10 rank 1, V18 x + y + z + 3*x-1*y*z + 3*x-2*y*z2 + 2*x-3*y2*z2 + 3*x-4*y2*z3 + x-6*y3*z4 + 6*x-1*z + 6*x-2*y*z + 12*x-3*y*z2 + 6*x-5*y2*z3 + 3*y-1 + 6*x-1 + 18*x-2*z + 15*x-4*y*z2 + 2*y-1*z-1 + 12*x-1*y-1 + 20*x-3*z + 3*y-2*z-1 + 15*x-2*y-1 + 6*x-1*y-2*z-1 + y-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 241 1 Lattice Minkowski decompositions of facet 241
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 9 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
previous:polytope 4083
next:polytope 4085