Classification of Ordered Type Soliton Metric Lie Algebras by a Computational Approach

Table 3

The 9-dimensional nilsoliton metric Lie algebras of nullities 1 and 2.

	Lie bracket	Index	Nullity
1	(0,0,0,0,√45⋅23,√14⋅24,√91⋅25+√91⋅34,√136⋅17+√29⋅26+√14⋅35,√104⋅18+4.27)	4	1
2	(0,0,1.12,0,1.14+√3⋅23,0,√6⋅25+√6⋅34,√8⋅17+1.26+√2⋅35,√6⋅18+ √2⋅27)	5	2
3	(0,0,√21⋅12,0,√21⋅14+√39⋅23,0,√13⋅16+√70⋅25−√70⋅34,√88⋅17+√42⋅35, √65⋅18+√39⋅27)	5	2