'Register' in the Bible

Then my God put it into my heart to assemble the nobles, the officials, and the people to be registered by genealogy. Then I found the register of the genealogy of those who came [from Babylon] first, and I found the following record:

“So My hand will be against the [counterfeit] prophets who see (make up) empty and delusive visions and who give lying prophecies. They will have no place in the [secret] council of My people, nor will they be recorded in the register of the house of Israel, nor will they enter into the land of Israel, that you may know [without any doubt] that I am the Lord God.