On Sep 23, 2008, at 7:26 PM, Craig Citro wrote:

>
>> sage: K.<a> = CyclotomicField(23)
>> sage: K.class_number()
>>
>> ...
>>
>> PariError: not enough precomputed primes, need primelimit ~  (35)
>>
>
> Hah, that's pretty hilarious. :) Actually, what it's telling you is
> that it needs primes up to a primelimit, and then it doesn't actually
> put in the primelimit. (This is a bug in our processing of Pari's
> error messages.) It's then saying that this is PariError #35. The
> effect is awesome, though.

[...]

> And maybe one last good question: David, were you surprised that
> Pari/Sage couldn't tell you this? Would you have preferred a
> non-verified answer (along with information that it wasn't provably
> correct, of course), what you got, or something else entirely?

I just wanted to know the class number of that field! (More  
precisely, I was trying to remember which was the first cyclotomic  
field with non-trivial class group.)

It would have been okay to get a non-verified answer with the  
information that it was non-verified.... but then I would have wanted  
to be able to try again to get the verified answer.

david


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