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The high court dismissed their appeals against the conviction by a trial court for burning houses and curfew violations during the riots.
Justice R K Gauba directed all the convicts to surrender within four weeks.
The convicts had challenged the August 27, 1996 judgement of a Sessions Court which had convicted 88 out of the 107 people arrested on November 2, 1984 for rioting, burning houses and curfew violation in Trilokpuri area of East Delhi.