McLaughlin, James on Sun, 30 Nov 2003 20:32:18 +0100


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Computing a system of fundamental units 

I have an irreducible polynomial in Z[x], P say, of degree 31 or higher   and I want to compute a system of fundamental units for the number filed K defined by this polynomial over Q.
 
I know that 
 
  bnfinit(P,1)[8][5]     
 
will output a set of fundamental units, but I am wondering if there is a more efficient/less time-consuming way to do it, since I do not need any of the other information that bnfinit generates about K.
 
Can anyone suggest some more efficient code?
 
Thanks.
 
Jimmy Mc Laughlin.