You've got a nice 1959 model 610B. The levers on the right side of the seat are for the tractors hydraulics. The inner one should operation the eagle hitch, and the outer one the remote hydraulic couplers at the rear of the tractor.
The throttle lever is on the left side of the dash. The lever on the right side of the dash operates the Case-o-Matic clutch. (Up/forward is using the torque converter, back/down is direct drive).
The tractor has two shift levers. The center lever is a 4-speed with a reverse. The second lever on the right side of the torque tube is a range shifter with the "low" position forward and the "direct" position aft, which make the tractor an eight speed with two reverse gears.
Nice catch. There was only 744 of those "standard" models made. - Joe