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C++ class template is a template: template argument is invalid

I have a problem with a class template. I want the private data in a class to be a vector of vectors of some kind of numeric type, ie:

std::vector<std::vector<double> >
std::vector<std::vector<std::complex<double> > >

But I want the type of vector (I'm using a library of third party vectors along with stl vectors), and the element type to be templated. I tried template templates but now I don't think that is the solution to my problem. A highly simplified example is:

#include <complex>
#include <vector>
template<typename T>
class Fred {
    std::vector<T> data_;
};
int main(){
    Fred<std::vector<double> > works;
    //Fred<std::vector<std::complex<double> > doesnt_work;
    return 0;
}

As shown it compiles fine, but if I uncomment the second line in main, I get the error (g++ 4.6):

error: template argument 1 is invalid

Why do I get this error? And does anyone have a suggested fix? Thanks!

#include <complex>
#include <vector>
template<typename T>
class Fred {
    std::vector<T> data_;
};

int main(){
    //Fred<std::vector<double> > works;
    Fred<std::vector<std::complex<double> > > doesnt_work;
    return 0;
}

Works well. You miss third > in declaration of doesnt_work .

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