Championship Jewel Question

I've ran into a problem regarding the Championship Jewels. I've acquired 22 Championship Jewels and they are currently sitting in my Material Inventory. I am currently at a loss on what I am supposed to do with them. I do not get a response when I click on them, only an item description from hovering the mouse over it. If anyone has any knowledge on how to proceed and what I should do, it would be greatly appreciated.
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