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Identities with the class invariants include<ref>{{Cite book |last1=Eymard |first1=Pierre |last2=Lafon| first2=Jean-Pierre |title=Autour du nombre Pi |language=French|publisher=HERMANN |year=1999 |isbn=2705614435}} p. 240</ref>
:<math>G_n=G_{1/n},\quad g_{
These are the relations between lambda-star and Ramanujan's class invariants:
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