I think what will be the hardest to work with is the notation of addition of cosets. Just looking at one of the simpler examples of an addition and multiplication table on page 146 got me worried about what I would need to do with larger fields...
Reflective:
The addition and multiplication seems to be similar to that in Zn, but now we have to add a "+I" at the end. As long as I'm correct about that, it shouldn't be too hard to do that for all the new multiplication and addition that I need to do...
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