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You can look on the furnace circuit board for a fuse , its an automotive type fuse either orange or purple, If its blown you can pull it out and change and restart it, if not you have a more serious problem probably with the thermostat.
The circuit board in the furnace in the blower section usually, you will have to turn power of to the unit and remove the covers on it.
It shouldn't be wired into the thermostat power, you can take the two wires that run to it and touch them together to see if the thermostat lights back up.