Hi,

it seems I was wrong about this yesterday (Olexandr and I discussed in person 
yesterday):

sage: K.gen?

       Return a generator of self. All elements x of self are expressed as
       log_{self.gen()}(p) internally.
    
       This generator might differ between different runs or different
       architectures.
    
       WARNING: The generator is not guaranteed to be a generator for
          the multiplicative group.  To obtain the latter, use
          multiplicative_generator().
    
So, indeed, K.gen() may be != K.multiplicative_generator()


Olexandr, does your code work if you switch to multiplicative_generator() or 
does that present problems for you?

Cheers,
Martin

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