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We compute the 3-primary      v 1 {v_1}      -periodic homotopy groups of the exceptional Lie groups      F 4 {F_4}       and      E 6 {E_6}      . The unstable Novikov spectral sequence is used for the most delicate part of the analysis.

3-primary 𝑣₁-periodic homotopy groups of 𝐹₄ and 𝐸₆