| Summary: | With the help of symbolic computer packages, the study of the cohomological rigidity of real solvable Lie algebras of rank one with a maximal torus of derivations <inline-formula><math display="inline"><semantics><mi mathvariant="fraktur">t</mi></semantics></math></inline-formula> and the eigenvalue spectrum <inline-formula><math display="inline"><semantics><mrow><mi>spec</mi><mrow><mo>(</mo><mi mathvariant="fraktur">t</mi><mo>)</mo></mrow><mo>=</mo><mfenced close=")" open="("><mn>1</mn><mo>,</mo><mspace width="0.166667em"></mspace><mi>k</mi><mo>,</mo><mspace width="0.166667em"></mspace><mi>k</mi><mo>+</mo><mn>1</mn><mo>,</mo><mo>⋯</mo><mo>,</mo><mi>n</mi><mo>+</mo><mi>k</mi><mo>−</mo><mn>2</mn></mfenced></mrow></semantics></math></inline-formula> initiated in a previous work is continued for arbitrary values <inline-formula><math display="inline"><semantics><mrow><mi>k</mi><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, obtaining new hierarchies of solvable rigid Lie algebras.
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