The German economy was a growth locomotive during the early years of the euro zone crisis but its performance has weakened over the last two years, and in 2013 it grew at its slowest pace since the global financial crisis.
Recent surveys have shown increases in consumer and business morale, suggesting the economy will gather speed in early 2014.
But the latest hard data has painted a more gloomy picture, with exports, industrial output and orders all falling in December. That has prompted some economists to warn that the economy is not faring as well as the forward-looking "soft" surveys suggest.
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The data confirmed an earlier flash estimate showing Germany's gross domestic product was up 1.3 percent on the year in the fourth quarter.
Separately, the statistics office said on Tuesday that the German federal, state and municipal governments together achieved a surplus of 0.3 billion euros last year - equivalent to 0.0 percent of its GDP.
It therefore comfortably met the Maastricht criteria that say euro zone countries are supposed to have deficits of no more than 3 percent of GDP.
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