Or just don't show up to work, and start looking for another job.
What they gonna do? Shoot you for "being sick and unable to report to work"?
Message for Government Employees: If you work a government job, DON'T GO TO WORK WHEN THE GOVERNMENT IS SHUT DOWN. Fuck that BS, don't let the government treat you like a slave. Calling out from work is not a crime (even if it is, fuck them anyways).