If we can assume this is a "listed motor operated appliance", then you can use the nameplate amps. The ampacity requirement would be 13*1.25 = 16.25 amps. Since #14 wire at 60C can handle 20A (motors are an exception to 240.4(D)), a #14 copper circuit is acceptable unless it is a general purpose branch circuit with multiple receptacles. I believe the max allowed breaker would be 13*250% = 32.5A which rounded down would be a 30A breaker.
So hard wired, you could run a #14 circuit with a 30A breaker. But I wouldn't do that... I'm not sure of the solution if it is cord-and-plug connected, even if its an individual branch circuit.
If this is in a dwelling, I would run #12 copper on a 20A breaker on a 20A 250V receptacle. The breaker most likely will hold.
Is there anything in the manufacturer's instructions that is relevant (circuit or breaker size, individual circuit), or things marked on the appliance (overload sizing, breaker sizing)???
Did it come with a plug? If so, was it a 6-15 or 6-20 plug? You should be able to use a receptacle on the appropriate circuit matching the type plug came with the saw. The instructions probably say to use an individual branch circuit. Most people aren't ever going to know if the circuit is dedicated or not, nor are they going to call an inspector after the place has been wired, but many 240V receptacle circuits are dedicated.