PARI/GP is using Mod the way we want it

? Mod(2/3,5)
%1 = Mod(4, 5)
? Mod(2/3,6)
  *** Mod: impossible inverse in Fl_inv: Mod(3, 6).

And Maple as well

> 2/3 mod 5;
4
> 2/3 mod 6;
Error, the modular inverse does not exist

This is a good reason to change the behavior of mod in Sage...

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