Where does “Karin” come from?

Karin (German) comes from Swedish Karin, from Swedish Katarina, from Medieval Latin Catharīna, from Latin Ecaterina, from Ancient Greek Αἰκατερίνη, from Ancient Greek Ἑκάτη, from Ancient Greek ἑκάς, from Ancient Greek ἕ — self.

Ancestry of “Karin”, step by step

Step	Language	Word	Meaning
1	Swedish	Karin	—
2	Swedish	Katarina	Catherine
3	Medieval Latin	Catharīna	—
4	Latin	Ecaterina	—
5	Ancient Greek	Αἰκατερίνη	—
6	Ancient Greek	Ἑκάτη	Hecate
7	Ancient Greek	ἑκάς	afar, far off; long after
8	Ancient Greek	ἕ	him
9	Proto-Hellenic	hwe	—
10	Proto-Indo-European	swé	self

Every word from Proto-Indo-European swé →Every word from Proto-Hellenic hwe →Every word from Ancient Greek ἕ →