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Four Gold Ingots. Two of these are in a box in the back of a covered cart, and can be accessed by taking them from the side of the cart (not the front). The other two are located on the table near the Forsworn Briarheart.
Three Gold Ore. Sitting loose on table near a hole in the ground that leads back to mine entrance.
If the quest is not completed, the mine is easier to work as neither miners nor Forsworn are present to block the Dragonborn from mining at the various veins once they re-spawn. Completing the quest, however, (and speaking to both Pavo Attius and Gat gro-Shargakh), is one way to gain access to Orc Strongholds.
Kolskeggr Mine can become an invaluable source of Gold Ore, due to a glitch that doesn't allow the mine to be considered "Cleared", allowing the ore to respawn. However, due to this, the Forsworn may respawn as well.
On very rare occasions, or in some playthroughs, Kolskeggr suffers from a rare glitch where it will never respawn any of its ores or only after an extreme amount of time. The exact cause is unknown and a fix is unknown. A possible cause for this glitch is that if Kolskeggr is the first mine the Dragonborn clears out completely, the glitch may occur, however this is not always the case.
A possible fix for this glitch is to exit, fast travel to any location, and then fast travel back to the mine. Alternatively, if the vein coloration has returned, exiting Kolskeggr mine and wait one hour then re-enter the mine fixes the problem.