[syncsynchalt]

After a few missteps where I transcribed the vars wrong (laugh) I wrote out the calcs and was able to reach the correct result. Here's my step-by-step process, hope this helps!

https://gist.github.com/syncsynchalt/ed02e39ad7adc8580b1086f...

Looking at your comment the disconnect seems to be at the division step: when performing a division such as 226/9, look up or calculate the multiplicative inverse for 9 (you can use the table at https://curves.ulfheim.net/inverse61.html), which is 34, and multiply by that instead. This is explained at https://curves.ulfheim.net/#division-multiplicative-inverse

In F61, 226/9 = 226*34 = 7684 % 61 = 59.

In F61, 2888/27 = 2888*52 = 150176 % 61 = 55.

(you can also proactively reduce those numerators and calculate with some smaller numbers):

(226%61)/9 => 43/9

(2888%61)/27 => 21/27

[max_likelihood]

Thanks for explaining and creating the gist! Makes sense now that everything (* / + -) needs to be done modulo 61.