20.1.102 laut = according to (with Genitive)

  Note! As a preposition it is not used very often. But as an adverb it means also loud.
  Sie sprachen sehr laut.
= They talked very loudly.
  as a preposition
  Laut seiner Aussage war er nicht da.
= According to his testimony he was not there.
(Seiner Aussage nach, war er nicht da.)

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