Are these logs from a device provided by Century Link, perhaps the modem itself? If so, the problem is clearly Century Link's. It even says that Wi-Fi/Ethernet is ok but the Internet connection is down.
You need to press Century Link to fix their problem. Show them this log.
The log is just from a Chrome web extension I got to monitor the blips. I thought the problem may be how my machine is set up, but it must be Century Link. Maybe my Century Link modem needs replacing too. I'll follow-up with them again, thanks for the comment.
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