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How to analytically solve the ten-dimensional matrix below?

DOI: 10.1103/PhysRevLett.120.183603
enter image description here I have read a paper about Dissipation-Induced Multicritical Phenomena, the relevant DOI is above.Its [21] reference is supplemental material,the sixth part gives a set of ten equations,and we want to gain its steady state, so the lhs is set to zero, thus,we obtain a ten-dimensional linear equtions.
How could i get this analytical result by Mathematic, you can download my notebook, help me solve this. Shall i think about block matrix?
POSTED BY: Tree Clean
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No,i think it doesn't matter.
POSTED BY: Tree Clean

I used Simplify, not FullSimplify.

By supplemental material you mean the published paper? No, I didn't try. Did you transcribe the solution of the paper into Mathematica format?
POSTED BY: Gianluca Gorni

It is impossible to run off,if i use "Fullsimplify"function.In your computer,can you gain the same result of the supplemental material?
POSTED BY: Tree Clean

On my system LinearSolve finds the solution in a few seconds. The solution is a very complicated algebraic expression, that Simplify reduces in size quite a lot. I don't know why you had to abort the computation.
POSTED BY: Gianluca Gorni
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