I just found these two dimes in my change, and I hadn't noticed luster like this before. Under a microscope it looks like fine scratches going in different directions on different parts of the field. The pair of coins are similar, but slightly different. The reverse is similar, just harder to see.
The OP's coin looks like there was some grease/water/oil on the surface of the die making the appearance look like that. They are probably both from the same die pair. Thus the similar look to each coin.
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