Polytope 4136
Image of polytope 4136 PALP id: 4136
grdb id: 76930
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
[ 0 1 0 1 1 0 -1 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 0 -1 -1 -1 0 0]
[ 0 0 1 0 -1 -2 2 2 -2 -1 0 1 -2 -1 0 1 -1 0 1 -1 0 1 -1 0]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
20 rank 1, V16 x + y + z + x-1*y + 2*y-1*z + 2*x-1*z + x-1*y-1*z2 + 2*z-1 + x-1*y*z-1 + 4*y-1 + 6*x-1 + 6*x-1*y-1*z + x-1*y-2*z2 + 2*y-1*z-1 + 5*x-1*z-1 + 11*x-1*y-1 + 4*x-1*y-2*z + x-1*z-2 + 8*x-1*y-1*z-1 + 6*x-1*y-2 + 2*x-1*y-1*z-2 + 4*x-1*y-2*z-1 + x-1*y-2*z-2
62 rank 2, number 9 x + y + z + x-1*y + 2*y-1*z + 2*x-1*z + x-1*y-1*z2 + 2*z-1 + x-1*y*z-1 + 4*y-1 + 5*x-1 + 5*x-1*y-1*z + x-1*y-2*z2 + 2*y-1*z-1 + 4*x-1*z-1 + 9*x-1*y-1 + 4*x-1*y-2*z + x-1*z-2 + 7*x-1*y-1*z-1 + 6*x-1*y-2 + 2*x-1*y-1*z-2 + 4*x-1*y-2*z-1 + x-1*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 11 3 Lattice Minkowski decompositions of facet 11
Image of facet 259 1 Lattice Minkowski decompositions of facet 259
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
previous:polytope 4135
next:polytope 4137