Thanks, that was really confusing me!  Thanks to jdemeyer for answering at 
SO as well.
 

> > See 
> > 
> http://math.stackexchange.com/questions/1738827/different-number-field-discriminants-in-sage-and-magma
>  
> > 
>
> It's a weird design decision in Magma that conflicts with Sage and all 
> standard usage by number theorists. It would make perfect sense if you 
> didn't know the terminology that number theorists use (which is 
> sometimes really weird)... 
>
>  --  William 
>
>
> -- 
> William (http://wstein.org) 
>

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