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I like to oversize the feed wire a little to help the inverter to not stall under the surge part of the load. I like the battery size he has, and for a mobile unit 600 watts is decent. :)

It's a 305 watt hanwa qcell panel.

That will give you 25+ amps at 12 volts, so that 10 gauge wire on the inverter would be good on the Panel to solar charger wiring. That is a nice sized panel, and will fully charge that battery quickly! :D