The image above depicts an LC circuit consisting of four inductors (\(L\)) and four capacitors (\(C\)). The conductors have the following conductance values: \(C_1=20F\), \(C_2=5F\), \(C_3=7F\), and \(C_4=8F\). The inductances of the inductors are as follows: \(L_1=9H\), \(L_2=12H\), \(L_3=18H\), and \(L_4=6H\). Determine the angular frequency (\(\omega \)) of the circuit in radians per second.

**Note**: \(\omega = \dfrac{1}{\sqrt{LC}}\).

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