%0 Journal Article %T RO(S^1)-graded TR-groups of F_p, Z and \ell %A Vigleik Angeltveit %A Teena Gerhardt %J Mathematics %D 2008 %I arXiv %X We give an algorithm for calculating the RO(S^1)-graded TR-groups of F_p, completing the calculation started by the second author. We also calculate the RO(S^1)-graded TR-groups of Z with mod p coefficients and of the Adams summand \ell of connective complex K-theory with V(1)-coefficients. Some of these calculations are used elsewhere to compute the algebraic K-theory of certain Z-algebras. %U http://arxiv.org/abs/0811.1313v3