Qantas Pax Loadings: Aus-USA?

[Adam.S]

To those with previous experience,

I would just like to find out a rough idea on passenger loads on Qantas flights between Australia and the US.
I have an upcoming return trip to America and would prefer to fly on the least busy flights in the hope of scoring an empty seat next to me.
With 5 Qantas flights each way between the two countries, I am trying to narrow down my selection choice.

Are there some days of the week which usually see less passengers on these flights, or are flight loads quite similar for each flight everyday of the week?

Thanks
-Adam