The Imperial Library

After Fang Lair, Ria Silmane made another visit to Eternal Champion. She said:

"It seems that you are well chosen. I see that you have won the first piece of the Staff. That in and of itself is not a simple task. Tharn it seems, is not as concerned with you as I had thought he would be. Perhaps he thinks you dead or lost in the sewers from which you escaped. That is well, for I have discovered the second piece's location. There was once a great maze, built by the Archmagus Shalidor to guard what he called, Glamorill, the elven term for 'The Secret of Life'. I know not the location of the great maze, which was called the Labyrinthian, but somewhere in its twisted corridors lies the second piece of the Staff of Chaos. Shalidor, according to the old texts, made his home in the Fortress of Ice. He would not have built the Labyrinthian far from his home. I would search to the north for such a place. I wish you well on your journey..."

The place is located in Skyrim province. To get the place, the Eternal Champion had to consult with Mages Guild in Winterhold which was in feud with the knights of Fortress of Ice. The mages wanted the champion to infiltrate the fortress to recover a magical tablet that would help decipher a part of the Elder Scrolls. This piece completed a map to the Labyrinthian.

 
"Stubborn grass and roots stand in the stiff arctic clime, refusing to yield.
Ahead of you stands the entrance to the Labyrithian, testing ground of the Archmagus Shalidor.
Within its twisted paths lies the second piece of the Staff of Chaos."

Exiting the Labyrinthian, the Eternal Champion had to face Jagar Tharn's image again and the image said:

"You have survived the Labyrinthian, a place most dire. Continue along this path however and you will face such things as to make your very heart freeze. I will save you the ordeal for my servants approach you even now. From your managled corpse I will take what is mine..."

His minions attacked, but still the Eternal Champion survived this attack.