Geodesic
Complete commutative sets of polynomials for solvable Lie algebras of dimension six and nilpotent Lie algebras of dimension seven
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 21-26

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A full commutative set of polynomials is constructed using Sadetov's method on the coalgebra of each real $6$-dimensional solvable non-nilpotent algebra and of each real $7$-dimensional nilpotent Lie algebra. 
@article{VMUMM_2011_5_a3,
     author = {A. A. Korotkevich},
     title = {Complete commutative sets of polynomials for solvable {Lie} algebras of dimension six and nilpotent {Lie} algebras of dimension seven},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {21--26},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a3/}
}
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A. A. Korotkevich. Complete commutative sets of polynomials for solvable Lie algebras of dimension six and nilpotent Lie algebras of dimension seven. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 21-26. http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a3/