$|\Gamma_2> = \gamma_ 1 (e^{ i\delta_1}|+ 6> - e^{- i\delta_1} |- 6>) + \gamma_2 (e^{ i\delta_2}| +2> - e^{i\delta_2}|-2>)$
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$|\Gamma_2> = \gamma_ 1 (e^{ i\delta_1}|+ 6> - e^{- i\delta_1} |- 6>) + \gamma_2 (e^{ i\delta_2}| +2> - e^{i\delta_2}|-2>)$