src_vinberg?

[valery-uga]

I am looking for an implementation of Vinberg algorithm. The description says that it is in the src_vinberg subdirectory but I don't any such. Is it available?

Best
VA

[MathieuDutSik]

Hi Valery, I have some implementation of the Vinberg Algorithm in src_lorentzian but it has some bugs and I would not recommend using it (the binary is LORENTZ_FundDomain_Vinberg) In that same directory src_lorentzian however, you have the edgewalk algorithm (the binary is LORENTZ_FundDomain_AllcockEdgewalk). and that one has no bug that I know of. It works only for the integral case. But it is high-performance and has solved every reflective case I threw at it. If you have a computational problem, send it to me. If you absolutely want to run the Vinberg algorithm (e.g. if your case is not integral but over some real algebraic field) then you can use the code from https://github.com/bottine/VinbergsAlgorithmNF It is not perfect but it has no bug that I know of.

…

--------- Installing it can be troublesome. The manual can be seen in .github/workflows/ci_reflective.yml If you send me the Gram matrix I can do the computation for you. Mathieu

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