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Appledave

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## Homework Statement

Find all Laurent expansion of the function f(z) = 1/(z(8(z^3)-1)) with centre z = 0.

## The Attempt at a Solution

I tried to find all the singularities and came up with z = 0, z = 1/2, z = (1/2)exp((n*pi*i)/3)

where n = +-2,+-4,+-6... . But according to the solution n can only be 2 and 4, what am I missing?

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