Precomputed Gröbner basis for quantum symmetric groups

[Sequenzer]

I added the Grő̡̿bner basis from https://arxiv.org/abs/2503.15104 to the quantum symmetric group, as well as some tests.
Additionally, I added the option to use subscript indexing for the quantum symmetric group.

[benlorenz]

Looks reasonable! (I did not check all the indices)

On small comment regarding the index function.

[Sequenzer]

Regarding the indices, all the numbers in the code are lower equal to 5, meaning for bigger n, the structure of the Gröbner basis and the behavior of the code doesn't change. The test I added checks the cases for n=6 and n=5. What I am saying is, I find it highly unlikely that the function is correct for $n=6,n=5$ and wrong for bigger n, based on the way this function is written. Besides that, while writing the paper, we tested this construction up to n=16. For this pull-request, I copy pasted the code from the code used there. CC. @leonardSchmitz