Polytope 3471
Image of polytope 3471 PALP id: 3471
grdb id: 145029
Integer points: [ 1 0 0 -1 -1 -1 -1 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 0]
[ 0 1 0 -1 1 2 -2 -2 2 -1 0 1 -1 0 1 0 -1 0 1]
[ 0 0 1 0 -2 -2 2 1 -3 0 -1 -2 1 0 -1 -1 1 0 -1]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
39 ? x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 3*x-1*y*z-1 + 4*x-1 + 3*x-1*y-1*z + x-1*y-2*z2 + x-1*y*z-2 + 2*x-1*z-1 + x-1*y-1 + x-2*y2*z-3 + 4*x-2*y*z-2 + 6*x-2*z-1 + 4*x-2*y-1 + x-2*y-2*z
109 rank 3, number 5 x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 5*x-1*y*z-1 + 7*x-1 + 4*x-1*y-1*z + x-1*y-2*z2 + x-1*y*z-2 + 2*x-1*z-1 + x-1*y-1 + x-2*y2*z-3 + 4*x-2*y*z-2 + 6*x-2*z-1 + 4*x-2*y-1 + x-2*y-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 165 1 Lattice Minkowski decompositions of facet 165
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
previous:polytope 3470
next:polytope 3472