The show's original creator, John Milius, is almost certainly a Beta and probably SLE in my opinion. Still, I think that there was some Gamma input since the historical consultant, Jonathan Stamp, is LIE (very obvious from his interviews in the DVD).
For an account of the same events from a Gamma-biased point of view, there is the novel Antony & Cleopatra, just published, by the ESI Colleen McCullough. She wrote a whole series of very accurate novels on that period.