Abstract
We obtain an equation among invariants obtained from the Alexander module of an amphicheiral link. For special cases, it deduces necessary conditions on the Alexander polynomial. By using the present results and some known results, we show that the Alexander polynomial of an algebraically split component-preservingly (±)-amphicheiral link with even components is zero, and we determine prime amphicheiral links with at least 2 components and up to 9 crossings.
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