Recent content by cyclic

Perhaps we can use congruence subgroups here? Or perhaps we can study SL(2,Z) using its action on the projective line over the integers modulo n? I'm pretty stumped and would appreciate any help.

Apologies, I realized that I typed the question wrong. Thank you for the response, though. I've edited the question. Looking at the factorizations in Mathematica, I'm not sure that a general factorization exists, but I may be wrong.

This is a pattern I noticed when playing around with Mathematica. Is there any way to rigorously prove this? I was not able to find any literature concerning the number of factors in a finite field, especially because this is called a "pentanomial" in said literatures. These don't have much...