2007 SV650: Project better late than never

[V1GiLaNtE]

Do these have another relay for the fuel pump only used for starting?

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I'm not sure. My best research points to it's all mostly connected in the starting circuit. I need to see what code it's posting as part of the issue. Generally speaking it won't prime and start the bike if something in the "loop" isn't saying "Ok, fire the bike everything checks out".