Parity and time invariance violating electric dipole moment of Tl-205 is calculated using the relativistic Hartree-Fock and configuration interaction methods and the many-body perturbation theory. Contributions from the interaction of the electron electric dipole moments with internal electric field and scalar-pseudoscalar electron-nucleon (T,P)-odd interaction are considered. The results are d(Tl-205)=-582(20)d(e) or d(Tl-205) =-7.0(2) x 10(-18)C(SP)e cm. Interpretation of the measurements are discussed. The results of similar calculations for Cs-133 are d(Cs-133) = 124(4)d(e) or d(Cs-133) = 0.76(2) x 10(-18)C(SP)e cm.
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