Gumbel Distribution

#1
Hello everyone,

I'm currently looking for the inverse CDF of the Gumbel Distribution. What I have found so far is this,
, which is correct, however this is for the Gumbel Max Distribution. I've search the internet and stat resources that I can find but it seems like it's nowhere to be found.

I'm still looking for the formula, any help will be appreciated. Thanks a lot!