The relations you found are still useful relations. The only "problem" is that, usually, sieving sq on one side produces relations faster than on the other side, so people sieve the side where it is faster and sieving on the wrong side is a less efficient use of cpu time.
You should still sieve your assigned range of the algebraic side. The relations you got from sieving that range on the rational side are not duplicates (except maybe a few) of those you'll get on the algebraic side.
|