Polytope 4164
Image of polytope 4164 PALP id: 4164
grdb id: 434819
Integer points: [ 1 0 0 -1 -1 -3 -3 -3 -3 -3 -2 -2 -2 -2 -2 -1 -1 -1 0 -1 -1 -1 0 0 0]
[ 0 1 1 0 0 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 1 -1 -1 -1 0 0 0]
[ 0 0 2 2 -2 0 -4 -3 -2 -1 -3 -2 -1 0 1 -1 0 1 1 -2 -1 0 -1 0 1]
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
40 rank 2, number 10 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 6*x-1*z + 2*z-1 + 10*x-1 + 6*x-1*z-1 + 2*x-1*y-1 + 2*x-2*y-1*z + x-1*z-2 + 4*x-1*y-1*z-1 + 9*x-2*y-1 + 2*x-1*y-1*z-2 + 14*x-2*y-1*z-1 + 9*x-2*y-1*z-2 + x-3*y-2 + 2*x-2*y-1*z-3 + 4*x-3*y-2*z-1 + 6*x-3*y-2*z-2 + 4*x-3*y-2*z-3 + x-3*y-2*z-4
20 rank 1, V16 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 5*x-1*z + 2*z-1 + 8*x-1 + 5*x-1*z-1 + 2*x-1*y-1 + 2*x-2*y-1*z + x-1*z-2 + 4*x-1*y-1*z-1 + 8*x-2*y-1 + 2*x-1*y-1*z-2 + 12*x-2*y-1*z-1 + 8*x-2*y-1*z-2 + x-3*y-2 + 2*x-2*y-1*z-3 + 4*x-3*y-2*z-1 + 6*x-3*y-2*z-2 + 4*x-3*y-2*z-3 + x-3*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 297 1 Lattice Minkowski decompositions of facet 297
previous:polytope 4163
next:polytope 4165