Adjoint and Trivial Cohomologies of Nilpotent Complex Lie Algebras of Dimension

Table 8

Cohomology table for NLAs of dimension 7: rank 5.

Algebra	Adjoint cocycles	Adjoint cohomology	Betti numbers
𝔤5,5×ℂ^2	(3,29,91,166,194,134,48,7)	(3,25,71,110,115,83,35,6)	(1,6,14,19,19,14,6,1)
𝔤4×𝔤3	(4,27,89,168,190,128,47,7)	(4,24,67,110,113,73,28,5)	(1,5,13,21,21,13,5,1)
𝔤5,1×ℂ^2	(4,25,78,150,179,126,47,7)	(4,22,54,81,84,60,26,5)	(1,5,11,15,15,11,5,1)