As the graphs show the cells will take charge up to very nearly full at less than 3.5 Volt per cell.
The Insight powers the 12V system from the IMA DC-DC converter. It switches between two states: about 12.65 Volt and 13.90 Volt (resting and charging the LA battery) but I also see peaks and dips in that voltage.
I will only know what it does to a LiFePO4 pack if I hook that up. It can go to 14 Volt so I assume it can get it to near 100% SOC, but otherwise I have the panel to top it off 
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2011 Honda Insight + HID, LEDs, tiny PV panel, extra brake pad return springs, neutral wheel alignment, 44/42 PSI (air), PHEV light (inop), tightened wheel nut.
  lifetime FE over 0.2 Gigameter or 0.13 Megamile.
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