For a deeper look into our DataScope Select SOAP API, look into:
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The only place where trigger time data is available is in the GUI (Website) inside the Schedule Page where you can use the View triggers button to display the Instrument Trigger Mappings screen.
This would require a Product Enhancement request.
Tick History has a Data Coverage document for each exchange release time, i.e. the market close. DSS however covers a significantly larger range of instrument types with each type having different rules.