How about something like the following?

type CT{T}
    ctsum::Complex{T}
    ctsumsq::T
end

x = 1 + 2im

ctx = CT(x, convert(decomplexify(typeof(x)), x * conj(x))

You could also make a convenience function so you don't have to do the 
converts yourself for the second argument.
Have you seen the standard docs on parametric 
types? 
http://docs.julialang.org/en/release-0.5/manual/types/#man-parametric-types

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