I have a bash script, in Python that runs on a Ubuntu server. Today, I mistakenly closed the Putty window after monitoring that the script ran correctly. 
There is some usefull information that was printed during the scrip running and I would like to recover them. 
Is there a directory, like /var/log/syslog for system logs, for Python logs? 

This scripts takes 24 hours to run, on a very costly AWS EC2 instance, and running it again is not an option.
Yes, I should have printed usefull information to a log file myself, from the python script, but no, I did not do that.
Unless the script has an internal logging mechanism like e.g. using logging as mentioned in the comments, the output will have been written to /dev/stdout or /dev/stderr respectively, in which case, if you did not log the respective data streams to a file for persistent storage by using e.g. tee, your output is lost.
Recover previous Python output to terminal