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

Table 8

The 9-dimensional nilsoliton metric Lie algebra candidates of nullity 3.

	Lie bracket	Index	Nullity
69	(0, 0, 1.12, 1.13, 1.14 + 1.23, 0, 1.16 + 1.25 + 1.34, 1.17, 1.18 + 1.27 + 1.45)	6	3
70	(0, 0, 1.12, 1.13, 1.14 + 1.23, 0, 1.16 + 1.25 + 1.34, 1.17, 1.18 + 1.27 + 1.36)	6	3
71	(0, 0, 1.12, 1.13, 1.14 + 1.23, 0, 1.16 + 1.25 + 1.34, 1.17 + 1.35, 1.18 + 1.27)	6	3
72	(0, 0, 1.12, 1.13, 1.14 + 1.23, 0, 1.16 + 1.25 + 1.34, 1.17 + 1.26, 1.18 + 1.45)	6	3
73	(0, 0, 1.12, 1.13, 1.14 + 1.23, 0, 1.16 + 1.25 + 1.34, 1.17 + 1.26 + 1.35, 1.18)	6	3
74	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.25 + 1.34, 1.26, 1.18 + 1.27 + 1.36 + 1.45)	6	3
75	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.25 + 1.34, 1.26 + 1.35, 1.18 + 1.27 + 1.45)	6	3
76	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.25 + 1.34, 1.26 + 1.35, 1.18 + 1.27 + 1.36)	6	3
77	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.25 + 1.34, 1.17, 1.18 + 1.27 + 1.36 + 1.45)	6	3
78	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.25 + 1.34, 1.17 + 1.35, 1.18 + 1.27 + 1.36)	6	3
79	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.26, 1.27 + 1.36 + 1.45)	7	3
80	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.26 + 1.35, 1.27 + 1.45)	7	3
81	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.26 + 1.35, 1.27 + 1.36)	7	3
82	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.35, 1.18 + 1.27 + 1.45)	7	3
83	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.35, 1.18 + 1.27 + 1.36)	7	3
84	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.26, 1.18 + 1.27 + 1.45)	7	3
85	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.26, 1.18 + 1.27 + 1.36)	7	3
86	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.26 + 1.35, 1.18 + 1.27)	7	3
87	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.17, 1.27 + 1.36 + 1.45)	6	3
88	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.17 + 1.35, 1.27 + 1.45)	6	3
89	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.17 + 1.35, 1.27 + 1.36)	6	3
90	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.17, 1.18 + 1.27 + 1.45)	7	3
91	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.17, 1.18 + 1.27 + 1.36)	7	3
92	(0, 0, 1.12, 1.13, 1.14, 1.15, 1.16 + 1.25 + 1.34, 1.17 + 1.35, 1.18 + 1.27)	7	3
93	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.34, 1.17 + 1.35, 1.18)	7	3
94	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.34, 1.17 + 1.26, 1.18)	7	3
95	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.25, 1.17, 1.18 + 1.45)	7	3
96	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.25, 1.17, 1.18 + 1.36)	7	3
97	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.25, 1.17 + 1.35, 1.18)	7	3
98	(0, 0, 1.12, 1.13, 1.14 + 1.23, 1.15 + 1.24, 1.16 + 1.25 + 1.34, 1.17, 1.18)	7	3