This worksheet contains the implementation of Theorems 4.2, 5.4 and 5.7 in the paper On the Construction of Solvable Lie Groups. All the examples in the paper are demonstrated here, along with one in Section 6 that was too long to include in the article.
Fels, Mark E., "On the Construction of Simply Connected Solvable Lie Groups" (2015). Research Vignettes. Paper 14.