05 600rr rear running light/turn signal?
 

I just recently picked up a stock 05 600rr and have been fixing all the little problems to get it to run right. Ive got everything working except the rear running lights but now im a bit confused. The front turn signals light up while the bike it running. Front trun signals work no problems. Now the rear signals while the bike it running dont light up. But they work fine when i hit the signal switch.

The fronts are a dual filament bulb but my rears are a single filament bulb. Is this normal? I checked all the fuses and all the wires. everythings clean and good. I check the electrical schmatic and it shows thats the way it is. Im just double checking can anyone verify thats the way the lights go?

Seams to me if i were to design a bike i'd put running lights in the front and the rear. My tail and brake lights work no problems.