How can Toudou Kirin be ranked 1 if Claudia is undefeated?


In episode 6, it was shown that Claudia Enfield is the 2nd rank. However,
Julis-Alexia von Riessfeld said that Claudia is undefeated.

So, how can Toudou Kirin be ranked 1 if she never defeated Claudia?




I just watched this series a few days ago, Kirin is rank 1 because of overall
combat ability being ranked higher due to 2 things:

  1. Kirin is not a strega
  2. Kirin does not use a lux in battle (at least before she fought Ayato)

Because of that, even though Claudia is undefeated, in terms of strength Kirin
is viewed as stronger.

This gets discussed in a later episode of season 1, though I'm not sure which
one exactly.

**Edit**  

Just to clarify, Kirin does end up getting a lux later in the novel but it
isn't shown in either of the anime seasons. She uses a normal katana

