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The DIY method is to put some fine steel wool into the chuck of a power drill and hold it gently against the alloy. Just a second or two for each spot. Try it on some scrap aluminium first - the result should impress you.
Jewelling as it is called is done similar to what Norm suggested.
You use a sanding pad with a flexidrive shaft with a leather pad and some heavy cutting compound or fine grinding paste. Suggested to have a board with notches at the correct spacings for the shaft of the sanding disc to sit in to stop wandering with.
Practice makes perfect as in everything else. It takes a bit of fiddling around to get spacings good and amount of polishing right.
I have also seen it done with a scotchbright pad on a velcro sanding pad with ok effects, it polishes more than jewells the surface.