Such numbers always scare me!

The number of coprime ordered pairs for \(x_0+y_0=17291729\) is \(m\);

The number of coprime ordered pairs for \(x_1+y_1=m\) is \(n\);

The number of coprime ordered pairs for \(x_2+y_2=n\) is \(l\).

Find the value of \((m+n+l) \pmod {1729}\).

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