We are talking about guessing the action once and for all for a given 
input. You are talking about guessing the action each time a group element 
acts in the orbit. I agree that the latter is not consistently doable. But 
it is possible to guess the action in the beginning of the orbit 
computation, and this is unambiguous.

Other points that might be nice to implement (but are not on the ticket):
* a switch to optionally print the guess used for the action, maybe 
verbose=True or action="guess_verbose".
* allow any python function f(g,x) as action=f



On Saturday, March 23, 2013 9:58:06 AM UTC+1, Dima Pasechnik wrote:
>
> OK, great, so (1,2) is not an element. 
> Yet, you take (1,2) as an element when you compute the 3rd element of 
> the orbit. Is your implementation of the function going to read your 
> mind, to work correctly? 
>
>

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