Can't output native 2560*1600 60hz?

[atopos]

Hello,
I just bought a second hand hp zr30w (2560*1600 60hz 10bit)
and would like to drive it with my laptop with these specs->
Z710 Lenovo IdeaPad
Vga cards-> Intel 4600/Nvidia 840m

The problem is that the laptop only has HDMI/d-sub output and the monitor only has dvi dual link and display port inputs.

I bought a cheap adapter dvi dual link to hdmi and that works with resolutions up to 1280*800 on my zr30w.

Is there a way to make it work?Do I need to buy something else?

Some more information->
A)I tried the adapter on 2k screens and works ok.
B)I have hooked up 2k monitors with the HDMI output of the z710 and work ok
C)I suspsect that the zr30w only accepts 2560*1600 60hz, anything else (2k resolution/2560*1600 30hz etc will not work)
D)The zr30w works just fine in native resolution with display port.


Thank you in advance!