<< KnotTheory`
MVA=MultivariableAlexander;

{L=Link["L9n9"]; t1=MVA[L][T], t2=MVA[Mirror@L][T], Simplify[t1/t2]}

{L=Link["L10n10"]; t1=MVA[L][T], t2=MVA[Mirror@L][T], Simplify[t1/t2]}

{L=Link["L11n11"]; t1=MVA[L][T], t2=MVA[Mirror@L][T], Simplify[t1/t2]}

Simplify[((MVA[#][T])/(MVA[Mirror@#][T]))]& /@ AllLinks[{2,9}]