A planar complementary metamaterial, as well as its corresponding inverse structure, has been designed and characterized. Numerical results (using commercial software) are presented here. The structure shows a giant gyrotropy (chirality) as well as very low losses.This work has been supported by the Spanish Government (MINECO) through the Research Projects TEC2014-55463-C3-1-P, TEC2014-55463-C3-2-P, and TEC2014-55463-C3-3-P and also by the European Commission (ERDF)