At 3:55 am ET Tuesday, the Federal Labor Agency has released jobless rate for December. Following the data, the euro traded mixed against the other major currencies. While the greenback declined against the greenback and the yen, it changed little against the franc and the pound.

The euro was trading at 1.0788 against the greenback, 128.57 against the yen, 1.0849 against the Swiss franc and 0.7346 against the pound around 3:59 am ET.

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