How to rearrange the display order of phone numbers

I can't find how to rearrange the display order of phone numbers for a contact. Is there really no way? (Other than deleting and entering them all again?)

I have to say I can't understand how it isn't possible in the 8th iteration of iOS...

I tried to do this in the Phone app, as well as in the Contacts app, to no avail. I couldn't find any help online as well.