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

Table 4

The 8-dimensional nilsoliton metric Lie algebra candidates.

	Lie bracket	Index	Nullity
1	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.34, 1.17 + 1.26 + 1.35)	6	4
2	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.25, 1.17 + 1.26 + 1.35)	6	4
3	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.25 + 1.34, 1.17 + 1.26)	6	4
4	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.25 + 1.34, 1.17 + 1.26 + 1.35)	6	5