How to make 2560x1600 resolution work on HP lp3065 monitor?

Got an used HP LP3065 30” monitor from OfferUp, it looks OK. However, I can only get resolution of 1280x800, but it supposed to have 2560x1600 setup, here is what I did:

1. Use mini display to dvi cable connecting my laptop with the monitor, it shows 1280x800 only, no other option can be chosen.

2. Use Apple dual link dvi adaptor for this connection (which has a separate usb cable, and is used to connect my 30” apple Cinema Display with my laptop), the 2560x1600 resolution option shows up, but cursor stays at 1280x800, if I select that “2560x1600” resolution, there is nothing shows up on monitor at all (I can see some lights on the screen, but just no image shows up).

3. Use dvi to dvi cable connecting my Mac Pro desktop with this monitor, it has the same symptom (no image shows up on screen)

Does anyone know how to make the 2560x1600 setup on this monitor correctly?

Many thanks!