Here's the link.
There's also another version of it here, adding in a violin part by one Jun Sung Ahn
For my part, I much prefer the film version to either; the high voices on the latter parts of the first seem to depart from the tone and spirit of the opening. Perhaps I'm influenced here by JRRT's description of dwarven singing in a passage he wrote for the second edition:
"Dwarves had been long in the world and known much troublous history before the days of Thror, and when he wrote of old* he meant it: in the ancient past remembered still in those deep throated songs of lore that the dwarf-kin sang in their secret tongue at feasts to which none but dwarves were bidden. Some say that they sing still" [H.o.H.753]
As for the violin version, it made me want to hear what Shore's melody, sung by Armitage et al, wd sound like if set to the instrumentation the dwarves bring with them in Tolkien's original: harp, viols (two), clarinets (two), drum, flutes (three), and fiddles (two).** Might make for an interesting project for the musically inclined . . .
*i.e., on the Lonely Mountain map: "Here of old was Thrain King . . . "
**so far as I can tell, Gloin and Oin have no instruments. Perhaps they're the singers.