Your drain is still clogged. Snakes that are homeowner size frequently are simply not good enough to clear a clogged drain. In fact, they can make the problem worse by shoving the clog in deeper and compacting it even worse than it was. What is needed is a professional plumber who has the size of auger it will take and the know how to use it. Do not, repeat, do not use chemicals to try to open this. They not only will not clear the clog, they will create a hazard for the plumber when you finally realize that is the only course of action open to you.