A witness who claims to have heard a gunshot at the home of Oscar Pistorius, followed by female screams and then more shots, a detective told the court.
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Dashcam footage captured the tree crashing down onto 40-year-old Sarah Robb's BMW just after she left her home in Syston on Thursday.
The teenagers, aged 19 to 15, appeared in custody at Westminster Magistrates' Court on Saturday, supported by their families.
Labour must "broaden its reach" in order to win votes off the Conservatives, deputy leader Tom Watson has said.