Talk with the soul of the dwarf Dada at the Swordgrave to return to the Land of the Dead. Then give the Tyr Sword to Judge Minos.

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Introduction

The destiny of the Gramr Sword and the Tyr Sword is at last complete. Odin created them to bring balance and to always combat each other. You have conquered the evil of the Tyr Sword, so you can give it to Minos.

NPC Dialog

The destiny with the Tyr Sword has finally been
met. I must sleep now, but if you ever need me
Human, summon me and I will aid you.

Quest Completion

At last I own the Tyr Sword! I have been collecting
Relics. I have all of them except Mjollnir, Gramr,
Draupnir, and Mistilteinn. Once I have all 12 I will
get the secret of Nibelungen's Ring...
...um, ignore that; the less you know, the better.
Here is my token. An aristocrat does not break their
word.