The Sky Blues, who start the new campaign with a 10-point deduction, had looked to have salvaged a point when second-half goals from Callum Wilson and Franck Moussa saw them cancel out early efforts from Jamie Proctor and Joe Walsh
However, the visitors were left empty-handed when Mike Jones netted an 84th-minute winner for Crawley Town at the Broadfield Stadium in West Sussex.
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Wednesday afternoon's weather for the west of the region
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The High Court has agreed to a Sussex Police request for access to footage of the Shoreham air crash, but has rejected two other requests.