Abstract
In this paper, we compute the trace fleld of C(2;s), the complement of two component chain link with s left half twists in S 3 , for every s. As a result, for every n 2 N n f1g, we can flnd s 2 Z such that the degree of the trace fleld of C(2;s) is n. We also prove that if for flxed p, the degree of the trace fleld of C(p;s) runs overNnf1g, then p is contained in f1;2;4;8g.
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