Dear All,

let I be an ideal of  a polynomial ring. Then, according to the doc, 
I.variety() expects the underlying polynomial ring to have lexicographic 
order. However, no error is raised if the polynomial order is a different 
one (degrevlex in my case). Does it mean that internally a Groebner basis 
is computed with respect to the lex order, no matter what the original 
order was?

I looked at the code for variety(), but wasn't able to quickly recognize 
the behavior of this method.

The reason that I looked at the doc of variety() at all was that I came 
across a case where points were missing. It was a complicated situation, so 
I'm not quite sure that this is due to variety() giving wrong results if 
the polynomial order isn't lex, or if I made a mathematical or programming 
error somewhere.

Anyway, if variety() works for any polynomial order, then the doc should 
tell so. And if it does not, then using the method should raise an error 
rather than returning an unreliable answer.

Best wishes,
Peter Mueller 

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