Who wrote the (second set of) ten commandments?

And he gave unto Moses, when he had made an end of communing with him upon mount Sinai, two tables of testimony, tables of stone, written with the finger of God.

And the Lord said unto Moses, Hew thee two tables of stone like unto the first: and I will write upon these tables the words that were in the first tables, which thou brakest. And be ready in the morning, and come up in the morning unto mount Sinai, and present thyself there to me in the top of the mount. And no man shall come up with thee, neither let any man be seen throughout all the mount; neither let the flocks nor herds feed before that mount. And he hewed two tables of stone like unto the first; and Moses rose up early in the morning, and went up unto mount Sinai, as the Lord had commanded him, and took in his hand the two tables of stone. And the Lord descended in the cloud, and stood with him there, and proclaimed the name of the Lord. And the Lord passed by before him, and proclaimed, The Lord, The Lord God, merciful and gracious, longsuffering, and abundant in goodness and truth, Keeping mercy for thousands, forgiving iniquity and transgression and sin, and that will by no means clear the guilty; visiting the iniquity of the fathers upon the children, and upon the children’s children, unto the third and to the fourth generation. And Moses made haste, and bowed his head toward the earth, and worshipped. And he said, If now I have found grace in thy sight, O Lord, let my Lord, I pray thee, go among us; for it is a stiffnecked people; and pardon our iniquity and our sin, and take us for thine inheritance. And he said, Behold, I make a covenant: before all thy people I will do marvels, such as have not been done in all the earth, nor in any nation: and all the people among which thou art shall see the work of the Lord: for it is a terrible thing that I will do with thee. Observe thou that which I command thee this day: behold, I drive out before thee the Amorite, and the Canaanite, and the Hittite, and the Perizzite, and the Hivite, and the Jebusite. Take heed to thyself, lest thou make a covenant with the inhabitants of the land whither thou goest, lest it be for a snare in the midst of thee: But ye shall destroy their altars, break their images, and cut down their groves: For thou shalt worship no other god: for the Lord, whose name is Jealous, is a jealous God: Lest thou make a covenant with the inhabitants of the land, and they go a whoring after their gods, and do sacrifice unto their gods, and one call thee, and thou eat of his sacrifice; And thou take of their daughters unto thy sons, and their daughters go a whoring after their gods, and make thy sons go a whoring after their gods. Thou shalt make thee no molten gods. The feast of unleavened bread shalt thou keep. Seven days thou shalt eat unleavened bread, as I commanded thee, in the time of the month Abib: for in the month Abib thou camest out from Egypt. All that openeth the matrix is mine; and every firstling among thy cattle, whether ox or sheep, that is male. But the firstling of an ass thou shalt redeem with a lamb: and if thou redeem him not, then shalt thou break his neck. All the firstborn of thy sons thou shalt redeem. And none shall appear before me empty. Six days thou shalt work, but on the seventh day thou shalt rest: in earing time and in harvest thou shalt rest. And thou shalt observe the feast of weeks, of the firstfruits of wheat harvest, and the feast of ingathering at the year’s end. Thrice in the year shall all your men children appear before the Lord God, the God of Israel. For I will cast out the nations before thee, and enlarge thy borders: neither shall any man desire thy land, when thou shalt go up to appear before the Lord thy God thrice in the year. Thou shalt not offer the blood of my sacrifice with leaven; neither shall the sacrifice of the feast of the passover be left unto the morning. The first of the firstfruits of thy land thou shalt bring unto the house of the Lord thy God. Thou shalt not seethe a kid in his mother’s milk. And