Angeltveit, VigleikGerhardt, Teena2015-12-070022-4049http://hdl.handle.net/1885/24976We give an algorithm for calculating the RO(S1)-graded TR-groups of Fp, completing the calculation started by the second author. We also calculate the RO(S1)-graded TR-groups of Z with mod p coefficients and of the Adams summand ℓ of connective complexKeywords: Primary; SecondaryRO(S1)-graded TR-groups of Fp, Z and ℓ201110.1016/j.jpaa.2010.09.0022016-02-24