Also devoted to primordial B-mode science, the third QUIJOTE Instrument (or 40 GHz Instrument) will be fitted with 31 polarimeters working at 40GHz. The conceptual design of a polarimeter chain for the FGI is identical to the one used for the TGI (see figure above). Funding for the FGI is provided by the Consolider-Ingenio project CSD2010-00064 (EPI:Exploring the Physics of Inflation).