The function is called global_height(): sage: K.<a> = NumberField(x^3-2) sage: b = a+1 sage: b.global_height() 0.366204096222703
John Cremona On 3 November 2013 09:02, Georgi Guninski <[email protected]> wrote: > I am trying to compute the quality of $abc$ triples over > number fields. > > This is basically $l_K(x)$ from [1] p. 1 with x,1-x,1 replaced by > a,b,c. > > My main pain is the definition of height in [1], > is there a sage method for it - maybe global_height() or > local_height()? > > The conductor N_K(a,b,c) is not clear to me too. > > Implementation of the quality over number fields will be appreciated > (I suppose it will be one-liner if you have height() ). > > Thanks. > > > [1] > http://www.ams.org/mcom/2000-69-232/S0025-5718-99-01153-9/S0025-5718-99-01153-9.pdf > SOME EXAMPLES RELATED TO THE abc–CONJECTURE FOR ALGEBRAIC NUMBER FIELDS > > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
