T1760 clicks but won't turn

[TheOldHokie]

I replaced both battery cables since the picture was taken, I'll test again to jump solenoid, but in the past I was always able to jump start

Jump start how? I said jump battery lug on starter to solenoid terminal on starter. If that starts the problem is in the solenoid circuit. And on these lawn tractors thats often one or more safety switches.

Dan