  Every non-solvable and non-semisimple quadratic Lie algebra can be obtained
as a double extension of a solvable quadratic Lie algebra. Thanks to a partial
classification of nilpotent Lie algebras and this result, we can design
different techniques to obtain any quadratic Lie algebra whose (solvable)
radical ideal is nilpotent. To achieve this, we propose two alternative
methods, both involving the use of quotients. In addition to their mathematical
description, both approaches introduced in this paper have been computationally
implemented and are publicly available to use for generating these algebras.
