solve ax+by=1 in quadratic field

[Jeremy Teitelbaum <jeremy@uic.edu>]

Dear pari users,

Given elements x,y of a quadratic field so that the associated principal
ideals satisfy (x)+(y)=1, I want a and b so that ax+by=1.  The function
idealaddtoone computes "ax" and "by" but doesn't give "a" and "b".  
Any suggestions on how to get this out of Pari most efficiently (for me,
not the computer...)

Thanks,
Jeremy Teitelbaum