On Oct 29, 2006, at 6:36 PM, William Stein wrote:

> additive_order, multiplicative_order, and is_zero all make perfect
> sense for p-adics, so i don't want to delete them.

I'm not sure I agree with this. When I ask for e.g. the  
multiplicative order of an element of a p-adic field, the best answer  
I can get is "it lives in some subgroup of Z". But it's weird for the  
multiplicative_order to be returning what is essentially a generator  
of the subgroup.

If someone really wants the multiplicative order modulo their current  
precision, I think they should have to cast explicitly.

David


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