Polytope 3767
Image of polytope 3767 PALP id: 3767
grdb id: 446903
Integer points: [ 1 0 0 -1 -1 -3 -3 -3 -2 -2 -2 -2 -1 -1 -1 0 -1 -1 0 0 0]
[ 0 1 1 0 0 -2 -2 -2 -1 -1 -1 -1 0 0 0 1 -1 -1 0 0 0]
[ 0 0 2 -2 2 -2 0 -1 1 0 -1 -2 1 0 -1 1 0 -1 1 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
151 rank 3, number 4 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 6*x-1*z + 2*z-1 + 8*x-1 + 4*x-1*z-1 + 2*x-1*y-1 + 2*x-2*y-1*z + x-1*z-2 + 2*x-1*y-1*z-1 + 7*x-2*y-1 + 6*x-2*y-1*z-1 + 2*x-2*y-1*z-2 + x-3*y-2 + 2*x-3*y-2*z-1 + x-3*y-2*z-2
31 rank 3, number 3 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 4*x-1*z + 2*z-1 + 6*x-1 + 4*x-1*z-1 + 2*x-1*y-1 + 2*x-2*y-1*z + x-1*z-2 + 2*x-1*y-1*z-1 + 6*x-2*y-1 + 6*x-2*y-1*z-1 + 2*x-2*y-1*z-2 + x-3*y-2 + 2*x-3*y-2*z-1 + x-3*y-2*z-2
10 rank 1, V18 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 4*x-1*z + 2*z-1 + 5*x-1 + 3*x-1*z-1 + 2*x-1*y-1 + 2*x-2*y-1*z + x-1*z-2 + 2*x-1*y-1*z-1 + 5*x-2*y-1 + 5*x-2*y-1*z-1 + 2*x-2*y-1*z-2 + x-3*y-2 + 2*x-3*y-2*z-1 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 3 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 251 1 Lattice Minkowski decompositions of facet 251
previous:polytope 3766
next:polytope 3768