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I'm thinking that you might need to Plot[{Im[correlationList[[1]]], ..., Im[correlationList[[n]]]}] rather than
Plot[Im[{correlationList[[1]], ..., correlationList[[n]]} ], if you get what I mean.
So what happens if you plot Evaluate[Im[correlationList]] instead?
Or first convert it to a list, e.g. plotting Im /@ correlationList?
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