>> I also would like the "inverse" above to fail. Better would be to offer
>> PrimeField 5, but that might involve checking for primeness of 5.
> 
> no no no: IntegerMod does not have Field, and thus no inverse.

Well, but if you accept to insert coercions, you might want to coerce to
PrimeField 5. That was what I was referring to above.

Otherwise I agree.

Ralf

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