Jewellery rendering

Maxwell render is a good choise:
http://www.maxwellrender.com/index.php/gallery/images/7/2/287

Or V-ray
https://www.google.no/search?q=vray+jewelry&espv=2&biw=1920&bih=1094&source=lnms&tbm=isch&sa=X&ved=0ahUKEwiuv6enpaXPAhXKZpoKHZxIAEsQ_AUIBigB

Or Keyshot:
https://www.google.no/search?q=vray+jewelry&espv=2&biw=1920&bih=1094&source=lnms&tbm=isch&sa=X&ved=0ahUKEwiuv6enpaXPAhXKZpoKHZxIAEsQ_AUIBigB#tbm=isch&q=keyshot+jewelry

And check this thread:

It all depends on what you want to spend, what system you have and how long you are willing to fiddle with the rendering.