Two objects of mass \(5 \text{ kg}\) and \(20\text{ kg}\) are attached to a spring with a spring constant \(k\) (in Newtons per meter) and length \(l\) meters.

The angular frequency of the oscillation of this system when the spring is compressed by a force \(F\) Newtons and then released is given by \(ak^bl^cF^d\), where \(a, b, c\), and \(d\) are constants.

Find \(a+b+c+d\).

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