Your considered opinion
Definition 1 of 1
Pro Tip 1/3Serious Context
Use it in discussions where a thoughtful decision is needed. 
Before we proceed, I would like to hear your considered opinion on the proposal.
Pro Tip 2/3Shows Respect
Asking for someone's considered opinion shows you value their judgment. 
Your experience is invaluable; what's your considered opinion on these findings?
Pro Tip 3/3Not a Quick Thought
Implies you've taken time to think, not just a first impression. 
After reviewing the document, your considered opinion would be appreciated.