Sage codes

Here, I share the sage codes concerning irreducible representations of GLn(Qp). To use it, you need to attach the document in the first or second link which helps you to read the (partial) Kazhdan-Lusztig polynomial table for S_8. Please take your own risks of using it and email me if you find mistakes.

Nowadays (2026/08/15), all my  codes here could be easily rewritten by LLM (ChatGPT 5.6 Sol for instance) with a higher quality. Thus it could be easier if you ask LLM to distillation my codes directly for a better one. Feel free to do that.

https://drive.google.com/file/d/15UH4J3mzqbaBn6fNgiu0AOD2W7yLDyR6/view?usp=drive_link full KL polynomials table for S_7 and "uncompressible extremal pairs" for S_8 (which is copied from the webpage of Warrington) 

https://drive.google.com/file/d/16T1XxNxoVYsgxo6qN3HzT6LSenClus5_/view?usp=drive_link full KL polynomials table for S_8, 3.42GB, take your own risk of using it!

https://drive.google.com/file/d/1UN4rxgAgka3l7-5iVeuLCq7cwnJCeors/view?usp=drive_link 14112025 latest version

For the following old version, please do not do calculations concerning KL polynomials for more than 6 segments!

https://drive.google.com/file/d/1dTqLissfImMM30VPneDiNryYqy8Enuuk/view?usp=sharing 18062025 version