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DRagor :
To get that resolution, both your laptop and monitor must support HDMI ver 1.3 or higher, and you need Category-2 certified HDMI cable (also called High Speed HDMI cable).
This is the cable I got (I believe it is not high speed?)
https://www.amazon.ca/gp/product/B014I8UL8U/ref=oh_aui_detailpage_o03_s00?ie=UTF8&psc=1
Maybe this one would work?
https://www.amazon.ca/gp/product/B009W8EWOG/ref=ox_sc_act_title_1?smid=A5OISQXXT6ZH0&psc=1
You will get the same result with any HDMI-to-DVI cable or adapter. As I just said, it is not possible to use an HDMI-to-DVI adapter. You need a straight DVI-to-DVI connection or a DisplayPort-to-DisplayPort connection since your monitor does not have an HDMI port.
DVI is only capable of 1440p 60 Hz by using two data links. HDMI doesn't have two data links, it only has one. It achieves 1440p 60 Hz through a different method, by using a single data link but at a higher speed. Since the HDMI side doesn't support two data links, and the DVI side doesn't support higher speed single links, you will be limited to a single low-speed link, which will cap you at 1080p 60 Hz. Attempting to set 1440p 60 Hz will exceed the maximum bandwidth of a Single-Link DVI port, which will give you that error message.
You need either a DVI-to-DVI connection, so that both sides support dual-link operation, or you need an HDMI-to-HDMI or DVI-to-HDMI connection so that both sides support high-speed single-link operation. HDMI-to-DVI is limited to 1080p 60 Hz.
Since your monitor doesn't have an HDMI port, HDMI versions are irrelevant in this case; the DVI port is limited to 165 MHz Single-Link mode no matter what version your HDMI source is. You need either a DVI-to-DVI connection or a DisplayPort-to-DisplayPort connection, no adapters.